-------
Table C1-99. Spherical Probe SPH-2 Calibrations at NC State Wind Tunnel
June and November 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / June / 30-60 Calibration
Resultant
Angle
(degrees^
Directional
Velocity
(fps)
29.58 29.09
25.33
19.36
15.46
10.54
4.94
1.64
31,03-
30.48
30.53
30.57
30.50
30.34
5.26 30.42
10.34
15.07
19.68
24.82
29.50
30.50
30.53
' 3039"
30.57
30.52
Axial
Velocity
(fps)
25.29
28.01
28.74
29.42
30.05
30.36
30.33
30.27
30.00
29.48
28.62
27.74
26.56
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.86
25.82
18.56
Directional
Velocity
(fps)
29.87
31.99
31.12
14.81 31.31
11.20
5.15
1.83
6.07 ,
11.37
15.27
31.56
31.40
31.15
31.24
31.33
31,24
19.94 | 31.11
24.58
29.10
31.33
31.23
Axial
Velocity
(fps)
25.90
28.75
29.48
30.26
30.95
31.24
31.13
31.04
30.71
30.14
29.24
28.49
27.29
% Change
Resultant
Angle
0.95
1.94
-4.13
-4.19
6.29
4.29
11.04
15.44
9.93
1.29
1.35 ~i
-0.96
-1.34
Directional
Velocity
Axial
Velocity
2.68 2.42
3.09 I 2.62
2.09 ! 2.58
2.54 2.86
3.23
3.02
2.95 2.90
2.68
2.72
2.66
2.56
2.72 j 2.38
2.33 I 2.24
2.36 i 2.18
2.51
2.33
2.70
2.73
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
29,59
25.63
20.46
14.74
9.71
5.36
1.50
4.61
9.96
14.94
Directional
Velocity
(fps)
Axial
Velocity
(fps)
55,55 | 48.30
58.84 J 53.05
58.78
58.56
58.58
58.63
58.84
58.78
58.67
58.54
20.33 i 58.77
25.23 58.55
29.86 ! 58.20
55.07
56.63
57.73
58.38
58.81
58.57
57.79
56.56
55.11
52.96
50.48
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.07
26.48
19.61
14.25
10.56
5.37
1.52
5.39
11.15
15.08
20.58
Directional j Axial
Velocity Velocity
(fps) (fps)
57.25
61.07
49.54
54.66
59.90 56.43
60.14
60.50
60.38
60.43
60.37
60.32
59.89
60.18
24.94 | 60.02
29.48
59.56
58.29
59.48
60.12
60.41
60.07
59.18
57,83
56.34
54.43
51.85
% Change
Resultant
Angle
1.64
3.32
-4.18
-3.32
8.78
0.26
1.12
17.05
12.04
0.92
1.21
-1.17
-1.28
Directional
Velocity
3.06
3.79
1.91
2.71
3.29
2.98
2.72
Axial
Velocity
2.58
3.03
2.46
2.93
3.02
2.98
2.71
2.70 I 2.57
2.81 I 2.41
2.31 ! 2.24
2.40
2.52
2.34
2.24
2.77
2.73
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
29.93
24.80
21.63
11.70
9.07
5.26
1.24
5.26
11.02
14.74
19.94
25.23
29.97
Directional
Velocity
(fps)
82.55
86,06
88.89
87.53
87.98
88.50
Axial
Velocity
(fps)
71.54
78,12
82.63
85.72
86.89
88.12
88.48 88.45
88.54
88.75
88.15
87.11
88.06 I 85.16
88.22
82.93
87.61 ! 79.25
87.85 76.10
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.10
25.49
21.15
12.05
10.03
5.33
1.25
6.11
12.02
14.91
20.20
24.95
29.60
Directional
Velocity
(fps)
Axial
Velocity
(fps)
85.14 | 73.65
88.86 | 80.21
90.62
90.29
84.51
88.30
90.81 I 89.42
91.13 | 90.72
90.85 ' 90.83
90.95 I 90.41
91.18 ! 89.18
90.11 87.08
90.32 | 84.76
89.83
89.92
81.45
78.18
% Change
Resultant
Angle
0.57
2,77
-2.18
3.01
Directional
Velocity
3.13
3.26
1.95
3.15
10.67 3.21
1.34
2.97
0.93 2.68
16.11 2.72
9.11
2.75
1.11 j 2.32
1.31 J
2.38
-1.12 I 2.53
-1.23 | 2.35
Axial
Velocity
2.95
2.68
2.28
3.01
2.92
2.96
2.68
I 2.56
2.38
2.25
2.21
2.77
2.73
TABC1-99.WK4
Cl-183
- 04/01/99
-------
o
6
en
0)
H
4-J /-
1
O
H
i
D ,,
& 4.
fX, ^
o
1 3
o
o
>
*~3
.2 9
.3
81
0
-
-
*^><
I
-30
Figure Cl-64. Spherical Probe SPH-2 Pre- and Post-Test Calibrations j
NC State Wind Tunnel -- June and November 1 997 |
^ \ ^mr "H-=s:s^_ ^ ซfe ^
H
I 1 1 1 i ! 1 1 1 III
-25 -20 -15 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
m 30 fps
^ 60 fps
.ฑ. 90 fps
TABC1-99.WK4
04/01/99
-------
Table C1-100. Spherical Probe SPH-2 Calibrations at NC State Wind Tunnel
June and July 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / June / 30-60 Calibration
Resultant I Directional
Angle I Velocity
(degrees) | (fps)
29,58 ! 29.09
25.33
31.03
19.36 | 30.48
15.46
10.54
4.94
1.64
5.26
10.34
15.07
19.68
24.82
29.50
30.53
30.57
30.50
30.34
30.42
30.50
30.53
30.39
30.57
30.52
Axial
Velocity
(fps)
25.29
28.01
28.74
29.42
30.05
30.36
30.33
30.27
30.00
29.48
28.62
27.74
26.56
30 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
30.05
26.74
19.44
15.30
Directional | Axial
Velocity I Velocity
(fps) I (fps)
28.78 ! 24.91
31.26 27.86
u 3ฐ-17 _L28-43
30.13 i 29.05
10.34 ! 30.05
4.88
1.77
5.90
11.51
15.24
29.91
29.55
29.78
29.83 ' 29.81
29.97
| 30.25
30.29
19.45 | 30.00
24.69 30.32
28.71
30.19
29.79
29.63
29.23
28.28
27.54
26.48
% Change
Resultant
Angle
1.57
5.60
0.40
-1.02
-1.85
-1.21
7.56
12.10
11.37
1.10
-1.14
-0.54
-2.67
Directional
Velocity
-1.08
0.73
1-1.03
-1.32
-1.71
-1.92
I __ |
-1.47
-0.83
-0.77
-1.31
-0.82
-1.08
Axial
Velocity
-1.49
-0.55
-1.09
-1.25
-1.65
-1.92
-1.70
-1.60
-1.21
-0.85
-1.17
-0.71
-0.32
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
29,59
Directional
Velocity
(fps)
55.55
25.63 | 58.84
20.46
14.74
9.71
5.36
1.50
4.61
9.96
14.94
20.33
25.23
29.86
58.78
58.56
58.58
58.63
58.84
58.78
58.67
58.54
58.77
58.55
58.20
Axial
Velocity
(fps)
48.30
53.05
55.07
56.63
57.73
58.38
58.81
58.57
57.79
56.56
55.11
52.96
50.48
60 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
30.11
27.69
20.56
14.57
Directional
Velocity
(fps)
Axial
Velocity
(fps)
55.15 47.70
60.11 I 53.22
58.23 j 54.51
57.76 \ 55.91
9.52 __L 57-53
5.48
1.35
5.04
11.32
15.08
20.06
25.14
29.20
56.74
57.42 ; 57.15
57.81
57.85
58.22
58.11
57.94
58.12
57.66
57.80
57.60
57.09
56.11
54.43
52.61
50.33
% Change
Resultant
Angle
1.77
8.04
0.51
-1.15
-1.97
2.36
-9.85
9.32
13.71
0.93
-1.34
-0,34
-2.19
Directional
Velocity
-0.73
2.16
-0.94
-1.36
-1.78
-2.08
-1.74
-1.58
-0.77
-0.73
-1,42
-0,72
-0,93
Axial
Velocity
-1.23
0.32
-1.01
-1.28
-1.73
-2.10
-1.73
-1.65
-1.21
-0.80
-1.25
-0.65
-0.29
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / June / 30-60 Calibration
Resultant
Angle
(degrees}_
Directional
Velocity
(fps)
29.93 I 82.55
24.80 I 86.06
21.63
11.70
9.07
5.26
1.24
Axial
Velocity
(fps)
71.54
78.12
88.89 82.63
87.53 85.72
87.98
88.50
88.48
86.89
88.12
88.45
5.26 88.54 88.15
11.02
14.74
19.94
25.23
29.97
88.75
88.06
88.22
87.61
87.85
87.11
85.16
82.93
79.25
76.10
90 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
30.10 81.81
26.54 87.19
22.02 I 88.11
11.47 86.09
8.93 |
5.33
86.40
86.70
1.22 86.96
5.75
87.18
12.15 ! 88.13
14.92 87.43
16.69 | 87.02
Axial
Velocity
(fps)
70.77
77.99
81.68
84.37
85.35
86.31
86.94
86.72
86.15
84.48
81.93
25.12 ! 86.95 | 78.73
29.14
86.90 j 75.90
% Change
Resultant
Angle
Directional
Velocity
0.57 1 -0.90
6.99 1.31
1.84
-1.93
-1.55
1.37
-1.37
9.29
10.32
1.21
-1.24
-0.44
-2.79
- -0.87
-1.65
L -1.80
-2.03
-1.71
-1.53
Axial
Velocity
-1.08
-0.16
-1.15
-1.57
-1.76
-2.05
-1.71
I -1,62
-0.70 1 -1.10
-0.72 I -0.80
-1.36 : -1.20
-0,75 __Lj^66
1-1.08 j -0.26
TABC1100.WK4
Cl-185
- 04/01/99
-------
o
OT
O
PH
SX,
6
t 0
2-
*N
0
-1
.a -2
MS
-4
Figure C-65. Spherical Probe SPH-2 Pre- and Intermediate Calibrations I
NC State Wind Tunnel - June and July 1997 I
30 fps
60 fps
90 fps
-30
-25 -20 -15
-10 -5 0 5
Pitch Angle (degrees)
10
15
20
25
30
TABC1100.WK4
04/01/99
-------
Table C1-101. Spherical SPH-2 Pro-test Computations - 30 fps
Probe: Spherical SPH-2 / Pre-Test 30-60 Calibration Pre-test
Velocity Point: 30 fps Cal Date:
06/29/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole;
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.85
0.00
29.85
28.84
28.73
NA
0
28.84
1.2
16.2
16.3
9.26
Probe ID: SPH-2
PitotCp; 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 2.81%
Avg Temp: 74 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I ol
Readings, in.H2O
PitrK
i Ilt*i I
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Ystw
I dw
Angle
-0.8
-0.8
-0.9
-0.9
-0.9
-0.9
-0.7
-0.6
-0.7
-0.6
-0.6.
-0.5
-0.8
-2.7
-2.8
-2.0
-1.9
-1.9
-1.1
-1.0
-1.0
-1.0
-1.0
-1.0
-1.0
-1.1
-1.3
-1.4
-1.5
-1.5
-1.5
-1.4
-1.0
-1.0
-1.0
-1.0
-1.0
-1.0
-1:1
P4-P5
-0.350
-0.350
-0.300
-0.270
-0.200
-0.080
-0.040
0.060
0.145
0.200
0.270
0.330
0.360
-0.340
-0.400
-0.350
-0.300
-0.250
-0.170
-0.070
-0.020
0.090
0.185
0.250
0.310
0.360
-0.340
-0.350
-0.300
-0.270
-0.210
-0.150
-0.020
0.055
0.145
0.215
0.260
0.330
0.360
P1-P2
0.155
0.180
0.198
0.205
0.210
0.210
0.205
0.205
0.200
0.195
0.185
0.175
0.160
0.155
0.190
0.205
0.214
0.224
0.220
0.215
0.215
0.210
0.205
0.193
0.184
0.169
0.160
0.190
0.204
0.215
0.220
0.220
0.215
0.210
0.209
0.200
0.190
0.180
0.166
f*ae
Temp, F
70
70
70
70
70
70
70
70
70
70
70
70
70
80
79
79
79
79
79
79
79
79
78
78
78
78
78
78
78
78
78
78
78
78
78
78 '
78
78
78
Average
^*? AK
Pitch
-30.0
-24.5
-18.6
-15.2
-9.6
-1.5
1.0
6.8
11.6
15.4
20.7
25.9
30.0
-30.0
-28.1
-21.4
-16.7
-12.1
-7.0
-0.7
2.3
8.2
13.8
18.7
23.4
29.0
-28.6
-23.2
-17.9
-14.3
-9.6
-5.8
2.3
6.4
11.2
16.0
19.6
25.2
29.5
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
\f*2i\ f Q >5*
Resultant
30.0
24.5
18.6
15.3
9.6
1.8
1.2
6.8
11.6
15.4
20.7
25.9
30.0
30.1
28.2
21.5
16.8
12.2
7.1
1.2
2.5
8.2
13.8
18.7
23.4
29.0
28.6
23.2
17.9
14.3
9.7
5.9
2.5
6.5
11.2
16.0
19.6
25.2
29.5
Res
29.58
25.33
19.36
15.46
10.54
4.94
1.64
5.26
' 10.34
15.07
19.68
24.82
29.50
Pt-Ps
0.2020
0.1971
0.1969
0.1976
0.1964
0.1988
0.1954
0.1989
0.1990
0.1996
0.2002
0.2027
0.1998
0.2020
0.2333
0.2122
0.2091
0.2120
0.2061
0.2040
0.2056
0.2050
0.2073
0.2043
0.2058
0.2073
0.1542
0.2032
0.2015
0.2059
0.2058
0.2062
0.2056
0.2034
0.2074
0
2060
0.2030
0.2059
0.2053
-
~
! *'
1 -
^
.-
-**1 [_ {-" * - $
--
-. ' ป,
-; . .,
-
' '; \
, _
\/o[f^f*itjc
v duvtuc
Flow Dir
30.20
29.84
29.82
29.88
29.79
29.97
29.71
29.97
29.98
30.03
30.07
30.26
30.04
30.49
32.74
31.22
30.99
31.21
30.77
30.61
30.73
30.69
30.83
30.61
30.72
30.83
26.59
30.52
30.39
30.73
30.72
30.75
30.70
30.54
30.84
30.73
30.51
30.73
30.69
Vdir
29.09
31.03
30.48
30.53
30.57
30.50
30.34
30.42
30.50
30.53
30.39
30.57
30.52
c ft/Q&f*
Axial
26.16
27.15
28.26
28.82
29.37
29.96
29.70
29.76
29.37
28.95
28.13
27.23
26.01
26.37
28.84
29.04
29.67
30.50
30.53
30.61
30.70
30.37
29.93
28.99
28.19
26.96
23.34
28.05
28.92
29.77
30.28
30.59
30.67
30.34
30.25
29.54
28.74
27.80
26.71
Vax
25.29
28.01
28.74
29.42
30.05
30.36
30.33
30.27
30.00
29.48
28.62
27.74
26.56 J
TABC1101.WK4
Cl-187
04/01/99
-------
Table C1-102. Spherical SPH-2 Intermediate Computations - 30 fps
Probe: Spherical SPH-2 / Intermediate 30-60 Calibration Pre-test
Velocity Point: 30 fps Cai Date: 07/22/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.85
0.00
29.85
28.84
28.73
NA
0
28.49
1.2
16.4
16.5
9.23
Probe ID: SPH-2
Pilot Cp: 1.00
CO2, %d: 0.00
02, %d: 20.9
Water, %: 1
%Satur.: 2.81%
Avg Temp: 74 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I o i
Readings, in.H2O
Pifrh
r HUM
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
' 15
20
25
30
Vaui
T ClW
Angle
-0.8
-0.8
-0.9
-0.9
-0.9
-0.9
-0.7
-0.6
-0.7
-0.6
-0.6
-0.5
-0,8
-2.7
-2.8
-2.0
-1.9
-1.9
-1.1
-1.0
-1.0
-1.0
-1.0
-1.0
-1.0
-1.1
-1,3
-1.4
-1.5
-1.5
-1.5
-1.4
-1.0
-1.0
-1.0
-1.0
-1.0
-1.0
-1.1
P4-P5
-0.350
-0.350
-0.300
-0.270
-0.200
-0.080
-0.040
0.060
0.145
0.200
0.270
0.330
0.360
-0.340
-0.400
-0.350
-0.300
-0.250
-0.170
-0.070
-0.020
0.090
0.185
0.250
0.310
0.360
-0.340
-0.350
-0.300
-0.270
-0.210
-0.150
-0.020
0.055
0.145
0.215
0.260
0.330
0.360
P1-P2
0.155
0.180
0.198
0.205
0.210
0.210
0.205
0.205
0.200
0.195
0.185
0.175
0.160
0.155
0.190
0.205
0.214
0.224
0.220
0.215
0.215
0.210
0.205
0.193
0.184
0.169
0.160
0.190
0.204
0.215
0.220
0.220
0.215
0.210
0.209
0.200
0.190
0.180
0.166
/* __
Temp, F
70
70
70
70
70
70
70
70
70
70
70
70
70
80
79
79
79
79
79
79
79
79
78
78
78
78
78
78
78
78
78
78
78
78
78
78
78
78
78
Average
j j, ปfc
Pitch
-30.0
-26.1
-18.6
-15.1
-9.4
-1.2
1.3
7.7
12.5
15.4
20.4
25.6
29.4
-30.0
-30.0
-21.8
-16.6
-11.9
-7.0
-0.3
2.6
9.6
14.2
18.5
23.3
28.2
-30.0
-24.0
-17.8
-14.1
-9.4
-5.8
2.6
7.2
12.3
16.0
19.4
25.1
28.5
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
'/M CQ >>
Resultant
30.0
26.1
18.6
15.1
9.5
1.5
1.5
7.7
12.6
15.4
20.4
25.7
29.4
30.1
30.1
21.9
16.7
12.0
7.1
1.0
2.7
9.7
14.2
18.5
23.3
28.2
30.0
24.0
17.8
14,2
9.6
6.0
2.7
7.3
12.3
16.0
19.4
25.1
28.6
Res
30.05
26.74
19.44
15.30
10.34
4.88
1.77
5.90
11.51
15.24
19.45
24.69
28.71
Pt-Ps
0.1981
0.2006
0.1927
0.1923
0.1896
0.1918
0.1889
0.1936
0.1962
0.1966
0
1947
0.1995
0.1963
0
1981
0.2428
0.2085
0
0
2040
2052
0.1982
0
0
0
1971
1987
2006
0.2044
0
0
1994
2019
0.2025
0
1501
0.2000
0
1969
0.2002
0
0
0
0
0
1986
1979
1987
1978
2045
0.2025
0
1976
0.2029
0.2004
' -
.---
,-
~
^
*ฃ
.ฃ.5~<: '
_, . -,"^ , '
~"~\-
"" .
-' *"~ :"
'^"'i'- '
-
v.
,,v
\ / i _;>
VBIQCfUOO, H/OC3V
Flow Dir Axial
29.91
30.10
29.50
29.47
29.26
29.44
29,21
29.57
29.77
29.80
29.65
30.02
29.78
30.20
33.40
30.95
30.61
30.70
30.17
30.09
30.21
30.35
30.61
30.24
30.43
30.47
26.23
30.28
30.05
30.30
30.18
30.13
30.18
30.12
30.62
30.47
30.10
30.51
30.32
Vdir
28.78
31.26
30.17
30.13
30.05
29.91
29.83
29.97
30.25
30.29
30.00
30.32
30.19
25.90
27.03
27.96
28.46
28.87
29.43
29,20
29.31
29.06
28.72
27.79
27.06
25.94
26.12
28.89
28.72
29.32
30.03
29.94
30.09
30.18
29.92
29.67
28.67
27.95
26.86
22.71
27.66
28.60
29.38
29.76
29.96
30.15
29.87
29.92
29.29
28.40
27.62
26.62
Vax
24.91
27.86
28.43
29.05 i
29.55 |
29.78 ;
29.81
29.79
29.63
29.23 :
28.28
27.54
26.48
Cl-188
TABC1102.WK4
04/01/99
-------
Table C1-103. Spherical SPH-2 Post-test Computations - 30 fps
Probe: Spherical SPH-2 / Post-last 30-60 Calibration Pre-test
Velocity Point: 30 fps Cal Date:
11/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Avera'ge Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Pifrh
I 1 IW 1
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yau/
1 aw
Angle
-0
8
-0.8
-0.9
-0.9
-0
9
-0.9
-0.7
-0.6
-0.7
-0.6
-0.6
-0
-0
-2
-2
-2
-1
-1
-1
-1
-1
-1
-1
5
8
7
8
0
9
9
1
0
0
0
0
-1.0
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
.0
.1
.3
.4
.5
.5
.5
A
.0
.0
.0
.0
.0
.0
.1
Deviation:
Readings, in.H2O
, . iซ"
P4-P5
-0.350
-0.350
-0.300
-0,270
-0.200
-0.080
-0.040
0.060
0.145
0.200
0.270
0.330
0.360
-0.340
-0.400
-0.350
-0.300
-0.250
-0.170
-0.070
-0.020
0.090
0.185
0.250
0.310
0.360
-0.340
-0.350
-0.300
-0.270
-0.210
-0.150
-0.020
0.055
0.145
0.215
0.260
0.330
0.360
P1-P2
0.155
0.180
0.198
0.205
0.210
0.210
0.205
0.205
0.200
0.195
0.185
0.175
0.160
0.155
0.190
0.205
0.214
0.224
0.220
0.215
0.215
0.210
0.205
0.193
0.184
0.169
0.160
0.190
0.204
0.215
0.220
0.220
0.215
0.210
0.209
0.200
0.190
0.180
0.166
^jKta
Temp, F
70
70
70
70
70
70
70
70
70
70
70
70
70
80
79
79
79
79
79
79
79
79
78
78
78
.78
78
78
78
78
78
78
78
78
78
78
78
78
78
Average
29.85
0.00
29.85
28.84
28.73
NA
0
29.59
1.2
16.4
16.4
9.08
ซ AN
Pitch
-30.0
-25.1
-17.7
-14.6
-10.5
-1.5
1.1
7.8
12.4
15.5
20.9
25.5
29.9
-30.0
-29.0
-20.9
-15.8
-12.3
-7.5
-0.8
2.7
9.4
14.2
19.0
23.3
28.5
-29.4
-23.3
-16.9
-13.9
-10.5
-5.9
2.7
7.4
12.1
16.1
19.9
24.9
28.9
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Probe ID: SPH-2
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
%Satur.: 2.81%
Avg Temp: 74 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
Resultant
30.0
25,1
17.7
14.6
10.5
1.8
1.3
7.8
12.4
15.5
20.9
25.5
29.9
30.1
29.1
21.0
15.9
12.5
7.6
1.3
2.9
9.5
14.2
19.0
23.3
28.5
29.5
23.3
17.0
14.0
10.6
6.0
2.9
7.5
12.2
16.1
19.9
24.9
28.9
Res
29.86
25.82
18.56
14.81
11.20
5.15
1.83
6.07
11.37
15.27
19.94
24.58
29.10
I
Pt-Ps
0.2131
0.2082
0.2055
0.2079
0.2097
0.2099
0.2059
0.2100
0.2098
0.2089
0.2099
0.2128
0.2102
0.2131
0.2526
0.2204
0.2188
0.2252
0.2190
0.2152
0.2167
0.2165
0.2174
0.2139
0.2163
0.2166
0.1623
0.2129
0.2105
0.2175
0.2197
0.2188
0.2167
0.2148
0.2188
0.2156
0.2125
0.2165
0.2145
I, - <
ฃ,'" . t-: '
,"
. t ^ " ~
.
V '
'}.
0
V/Alnfiti
VCIUljUl
Flow Dir
31.03
30.67
30.47
30.65
30.77
30.79
30.50
30.80
30.79
30.72
30.79
31.00
30.81
31.32
34.06
31.82
31.70
32.17
31.72
31.44
31.55
31.53
31.57
31.32
31.49
31.51
27.28
31.24
31.07
31.58
31.74
31.68
31.52
31.38
31.68
31.44
31.22
31.51
31.36
Vdir
29.87
3199
31.12
31.31
31.56
31.40
31.15
31.24
31.33
31.24
31.11
31.33
31.23
ft
Axial
26.87
27.78
29.03
29.66
30.26
30.78
30.49
30.51
30.06
29.60
28.77
27.98
26.71
27.09
29.77
29.70
30.49
31.41
31.44
31.43
31.51
31.10
30.61
29.62
28.92
27.70
23.75
28.70
29.71
30.65
31.19
31.50
31.48
31.11
30.97
30.20
29.35
28.57
27.44
Vax
25.90
28.75
29.48
30.26
30.95 :
31.24 I
31.13
31.04
30.71
30.14
29.24
28.49
27.29
Cl-189
TABC1103.WK4
04/01/99
-------
Table C1-104. Spherical SPH-2 Pre-test Computations - 60 fps
Probe: Spherical SPH-2 / Pre-Test 30-60 Calibration Pre-test
Velocity Point: 60 fps Cai Date:
06/29/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.85
0.00
29.85
28.84
28.73
NA
0
55.34
1.1
16.2
16.3
9.44
Probe ID: SPH-2
Pilot Cp: 1.00
CO2, %d: 0.00
02, %d: 20.9
Water, %: 1
% Satur.: 2.99%
Avg Temp: 76 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
| ~ ~ Cf;
Readings, in.H2O
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-2.9
-1.7
-1.4
-1.4
-1.3
-1.1
-1.1
-0,7
-1.0
-0.4
-0.5
-0.5
0.9
-2.6
-1,9
-1.5
-1.5
-1.2
-1.2
-1.1
-1.0
-1.1
-0.6
-0.6
-0.1
1.0
-2.6
-1.7
-1.4
-1.5
-1.2
-1.0
-0.9
-0.9
-0.9
-0.6
-0.5
-0.3
0.9
P4-P5
-1.280
-1.350
-1.200
-1.000
-0.770
-0.500
-0.300
- 0.020
0.430
0.730
1.000
1.200
1.350
-1.250
-1.320
-1.230
-1.000
-0.800
-0.550
-0.300
-0.020
0.420
0.700
1.000
1.200
1.310
-1.200
-1.350
-1.200
-1.000
-0.720
-0.500
-0.220
0.220
0.500
0.750
1.000
1.200
1.320
P1-P2
0.580
0.670
0.740
0.770
0.800
0.800
0.800
0.780
0.760
0.730
0.700
0.650
0.580
0.580
0.650
0.740
0.780
0.800
0.800
0.800
0.790
0.770
0.740
0.710
0,660
0.600
0.560
0.690
0.750
0.790
0.800
0.800
0.790
0.780
0.760
0.730
0.690
0.650
0.600
Gas
Temp, F
72
72
72
72
73
73
73
74
74
74
74
74
74
78
78
79
79
79
79
79
79
79
79
79
79
80
81
81
81
81
81
81
81
80
80
80
80
80
80
Average
ซ ANGLES ป
Pitch
-30.0
-25.8
-20.3
-14.9
-9.7
-4.9
-1.4
3.8
9.6
15.0
20.3
25.3
30.0
-29.4
-26.2
-20.9
-14.7
-10.3
-5.8
-1.4
3.1
9.4
14.4
20.1
25.0
29.7
-29.1
-24,7
-20.0
-14.4
-8.9
-4.9
-0.1
6.7
10.7
15.4
20.6
25,3
29.9
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
30.1
25.9
20.4
15.0
9.8
5.1
1.8
3,8
9.7
15.1
20,3
25.4
30.0
29.5
26.3
20.9
14.7
10.4
6.0
1.8
3.3
9.5
14.4
20.1
25.0
29.7
29.2
24.7
20.1
14.5
8.9
5.0
0,9
6,7
10.7
15.4
20.6
25.3
29.9
Res
29.59
25.63
20.46
14.74
9.71
5.36
1.50
4.61
9.96
14.94
20.33
25.23
29.86
Pt-Ps
0.7558
0.7621
0.7499
0.7403
0.7483
0.7504
0.7577
0.7486
0.7465
0.7447
0.7538
0.7458
0.7241
0.7412
0,7497
0.7575
0.7488
0.7494
0,7500
0.7577
0.7570
0.7556
0.7512
0.7623
0.7523
0.7447
0.5384
0.7578
0.7559
0.7574
0.7486
0.7504
0.7510
0.7563
0.7516
0.7473
0.7454
0.7458
0.7474
-.-
l'"'-'^-'' i
j.* ' *
' .: --~-r
j '- :
f ~ > '
.
V* . .
Velocities, ft/sec
Flow Dir
58.54
58.78
58.31
57.94
58.30
58.39
58,67
58.37
58.29
58.22
58,57
58.26
57.41
58.30
58.63
58.99
58.65
58,67
58.70
59.00
58.97
58.92
58.74
59.18
58.79
58.54
49.82
59.11
59.04
59.09
58.75
58.82
58.84
59.00
58.81
58.65
58.57
58.59
58.65
Vdir
55.55
58.84
58.78
58.56
58.58
58.63
58.84
58,78
58.67
58.54
58.77
58,55
58.20
Axial
50.63
52.89
54.66
55.96
57.45
58.16
58.64
58.24
57.46
56.22
54,93
52.65
49.71
50.75
52.57
55.11
56.72
57.72
58.38
58.97
58.87
58.12
56.90
55.58
53.28
50.86
43.51
53.69
55.44
57.21
58.04
58.59
58.84
58.60
57.78
56.54
54.83
52.95
50.85
Vax
48.30
53.05
55.07
56.63
57.73
58.38
58.81
58.57
57.79
56.56
55.11
52.96
50.48
TA8C1104.WK4
Cl-190
04/01/99
-------
Table C1-105. Spherical SPH-2 Intermediate Computations - 60 fps
Probe: Spherical SPH-2 / Intermediate 30-60 Calibration Pro-test
Velocity Point: 60 fps Cal Date:
07/22/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Pttrh
i uiji i
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-2.9
-1.7
-1.4
-1.4
-1.3
-1.1
-1.1
-0.7
-1.0
-0.4
-0.5
-0.5
0.9
-2.6
-1.9
-1.5
-1.5
-1.2
-1.2
-1.1
-1.0
-1.1
-0.6
-0.6
-0.1
1.0
-2.6
-1.7
-1.4
-1.5
-1.2
-1.0
-0.9
-0.9
-0.9
-0.6
-0.5
-0.3
0.9
Readings, in.H20
- ._ fฑ
P4-P5
-1.280
-1.350
-1.200
-1.000
-0.770
-0.500
-0.300
0.020
0.430
0.730
1.000
1.200
1.350
-1.250
-1.320
-1.230
-1.000
-0.800
-0.550
-0.300
-0.020
0.420
0.700
1.000
1.200
1.310
-1.200
-1.350
-1.200
-1.000
-0.720
-0.500
-0.220
0.220
0,500
0.750
1.000
1.200
1.320
P1-P2
0.580
0.670
0.740
0.770
0.800
0.800
0.800
0.780
0.760
0.730
0.700
0.650
0.580
0.580
0.650
0.740
0.780
0.800
0.800
0.800
0.790
0.770
0.740
0.710
0.660
0.600
0.560
0.690
0.750
0.790
0.800
0.800
0.790
0.780
0.760
0.730
0.690
0.650
0.600
Temp, F
72
72
72
72
73
73
73
74
74
74
74
74
74
78
78
79
79
79
79
79
79
79
79
79
79
80
81
81
81
81
81
81
81
80
80
80
80
80
80
Average
29.85
0.00
29.85
28.84
28.73
NA
0
54.71
1.1
16.5
16.5
9.51
Probe ID: SPH-2
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 2.99%
Avg Temp: 76 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I ol
ซ ANGLES ป
Pitch Resultant
-30.0
-28.0
-20.4
-14.8
-9.5
-5.1
-1.1
4.0
11.1
15.1
20.0
25.2
30.0
-30.0
-28.5
-21.1
-14.5
-10.0
-5.9
-1.1
3.4
10.9
14.6
19.8
24.9
28.7
-30.0
-26.4
-20.1
-14.2
-8.7
-5.1
0.3
7.5
11.9
15.5
20.3
25.2
28.9
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.1
28.1
20.5
14.8
9.6
5.2
1.5
4.0
11.1
15.1
20.0
25.2
30.0
30.1
28.5
21.1
14.6
10.1
6.0
1.5
3.5
10.9
14.6
19.8
24.9
28.7
30.1
26.5
20.1
14.3
8.8
5.2
1.0
7.6
11.9
15.5
20.3
25.2
28.9
Res
30.11
27.69
20.56
14.57
9.52
5.48
1.35
5.04
11.32
15.08
20.06
25.14
29.20
Pt-Ps
0.7413
0.8011
0.7358
0.7206
0.7223
0.7192
0.7311
0.7235
0.7350
0.7341
0.7322
0.7348
0.7198 <
0.7413
0.7891
0.7437
0.7286
0.7229
0.7198
0.7311
0.7316
0.7432
0.7405
0
0
7411
7419
0.7265
0
0
5241
7785
0.7414
0
0
0
0
7365
7217
7192
7259
0.7360
0
0
0
7412
7359
7246
0.7348
0.7289
ฅ~
?
w*
^
^
liv .
M
'
;
ปS
j
^ ,-J
E
\
- : -
^ -"
Velocities ft/sec
:low Dir Axial
57.98
60.27
57.76
57.16
57.28
57.16
57.63
57.38
57.84
57.80
57.73
57.83
57.24
58.30
60.15
58.45
57.85
57.63
57.50
57.95
57.97
58.43
58.33
58.35
58.38
57.83
49.18
59.91
58.47
58.28
57.69
57.59
57.85
58.20
58.40
58.20
57.75
58.15
5732
Vdir
55.15
60.11
58.23
57,76
57.53
57.42
57.81
57.85
58.22
58.11
57.94
58.12
57.66
50.14
53.18
54.12
55.26
56,47
56.92
57.61
57.24
56.75
55.79
54.23
52.31
49.56
50.44
52.85
54.52
55.99
56.73
57.18
57.93
57.87
57.37
56.44
54.89
52.93
50.71
42.53
53.63
54.90
56.47
57.01
57.35
57.85
57.69
57.14
56.09
54.16
52.60
50.72
Vax
47JO |
53.22 i
54,51
55.91
56.74
57,15
57.80
57.60
57.09
56.11
54.43
52.61
50.33
TABC1105.WK4
Cl-191
04/01/99
-------
Table C1-106. Spherical SPH-2 Post-test Computations - 60 fps
Probe: Spherical SPH-2 / Post-Test 30-60 Calibration Pre-test
Velocity Point: 60 fps Cal Date:
11/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-2.9
-1.7
-1.4
-1
-1
4
3
-1,1
-1.1
-0
-1
7
0
-0.4
-0
-0
0.
-2
-1
5
5
9
6
9
-1.5
-1
-1
-1
5
2
2
-1.1
-1
-1
0
1
-0.6
-0.6
-0
1
1
0
-2.6
-1.7
-1
-1
-1
-1
-0
-0
-0
.4
.5
.2
.0
.9
.9
.9
-0.6
-0
.5
-0.3
0
9
Readings, in.H2C
P4-P5
-1.280
-1.350
-1.20P
-1.000
-0.770
-0.500
-0.300
0.020
0.430
0.730
1.000
1.200
1.350
-1.250
-1.320
-1.230
-1.000
-0.800
-0,550
-0.300
-0.020
0.420
0.700
1.000
1.200
1.310
-1.200
-1.350
-1.200
-1.000
-0.720
-0.500
-0.220
0.220
0.500
0,750
1.000
1.200
1.320
P1-P2
0.580
0.670
0.740
0.770
0.800
0.800
0.800
0.780
0.760
0.730
0.700
0.650
0.580
0.580
0.650
0.740
0.780
0.800
0.800
0.800
0.790
0.770
0.740
0.710
0.660
0.600
0.560
0.690
0.750
0.790
0.800
0.800
0.790
0.780
0.760
0.730
0.690
0.650
0.600
Gas
Temp, F
72
72
72
72
73
73
73
74
74
74
74
74
74
78
78
79
79
79
79
79
79
79
79
79
79
80
81
81
81
81
81
81
81
80
80
80
80
80
80 "
Average
29.85
0.00
29.85
28.84
28.73
NA
0
56.82
1.1
16.4
16.5
9.31
ซ ANGLES ป
Pitch Resultant
-30.0
-26.8
-19.4
-14.4
-10.6
-4.9
-1.5
4.5
10.9
15.1
20.6
25.0
30.0
-30.0
-27.2
-20.1
-14.2
-11.0
-6.0
-1.5
3.7
10.7
14.6
20.4
24.7
29.1
-29.9
-25.3
-19.1
-14.0
-9.8
-4.9
-0.1
7.7
11.8
15.5
20.8
25.0
29.3
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.1
26.8
19.5
14.4
10.7
5.0
1.8
4.6
10.9
15.1
20.6
25.0
30.0
30.1
27.2
20.2
14.3
11.1
6.1
1.8
3.9
10.7
14.6
20.4
24.7
29.1
30.0
25.4
19.1
14.1
9.9
5.0
0.9
7.7
11.8
15.5
20.8
25.0
29.3
Res
30.07
26.48
19.61
14.25
10.56
5.37
1.52
5.39
11.15
15.08
20.58
24.94
29.48
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
Volumetric i
SCFM Wet:
r
Pt-Ps
0.7975
0.8257
0.7789
0.7803
0.7990
0.7956
0.7998
0.7892
0.7895
0.7793
0.7904
0.7834
0.7634
0.7975
0.8121
0.7842
0.7899
0.8003
0.7958
0.7998
0.7980
0.7989
0.7868
0.7992
0.7919
0.7775
0.5675
0.8070
0.7872
0.7994
0.7971
0.7956
0.7914
0.7985
0.7940
0.7820
0.7817
0.7834
0.7802
cr^;:j
L i|?:".
3 '. l~~'~^ .
*r
* ", ~ '-
-%.
,.~ " .
y, - -
SPH-2
1.00
0.00
20.9
1
2.99%
76 _F
61
Mr Flow Rate,
0
I
Velocities, ft/sec
Flow Dir Axial
60.13
61.19
59,43
59.48
60.25
60.12
60.28
59.93
59.94
59.55
59.98
59.71
58.94
60.47
61.02
60.02
60.24
60.64
60,46
60.62
60.55
60.58
60.12
60.59
60.31
59.82
51.15
61.00
60.25
60.71
60.63
60.57
60.41
60.62
60.45
59.99
59.98
60.04
59,92
Vdir
57.25
61.07
59.90
60.14
60.50
60.38
60.43
60.37
60.32
59.89
60.18
60.02
59.56
52.01
54.60
56.02
57.61
59.20
59,89
60.25
59.74
58.86
57.49
56.15
54.10
51.04
52.31
54.27
56.33
58.38
59.50
60.12
60.59
60.41
59.52
58.18
56.80
54.78
52.26
44.31
55.10
56.92
58.89
59.72
60.34
60.40
60.07
59.17
57.81
56.07
54.40
52.25
Vax
49.54
54.66
56.43
58.29
59.48
60.12
60.41
60.07
59.18
57.83 !
56.34 I
54.43
51.85 J
TABC1106.WK4
Cl-192
04/01/99
-------
Table C1-107. Sphsrical SPH-2 Pro-test Compilations - 90 fps
Probe: Spherical SPH-2 / Pre-Test 30-60 Calibration Pre-test
Velocity Point: 90 fps Cal Date:
06/29/97
Number Of Points:
39
Barometric Pressure, in, Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular WL Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Piff*h YatA/ _ ,.__ _,_ f^ac
1 lUjJ I 1 ปSIW -- ,.:,,:::<:::::::::::::::::*- \J(3\3
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.85
0.00
29.85
28.84
28.73
NA
0
83.09
1.0
16.0
16.1
9.51
ซ ANGLES ป
Pitch Resultant
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-2
1.00
0.00
20.9
1
3.81%
83 _F
61
Volumetric Air Flow Rate,
SCFM Wet:
[
jj]
Velocities, ft/sec
Pt-Ps
Flow Dir
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
- 30
-2.8
-1.8
-1.3
-1.2
-1.1
-1.0
-1.0
-0.8
-0.8
-0.4
-0.3
0.1
0.6
-2.6
-2.0
-1.2
-1.3
-1.3
-1.2
-1.0
-0.9
-0.8
-0.4
-0.2
0.1
0.8
-2.3
-1.8
-1.3
-1.4
-1.0
-1.1
-1.0
-0:8
-0.8
-0.4
-0.2
-0.2
0.7
-2.750
-2.800
-2.800
-1.890
-1.660
-1.140
-0.440
0.400
1.100
1.640
2.200
2.700
3.000
-2.700
-2.850
-2.800
-1.900
-1.600
-1.300
-0.650
-0.010
1.210
1.510
2.100
2.600
2.950
-2.800
-2.850
-2.840
-1.900
-1.600
-1.000
-0.500
0.400
1.180
1.650
2.250
2.650
2.950
1.260
1.450
1.630
1.750
1.780
1.790
1.780
1.750
1.710
1.630
1.560
1.430
1.330
1.250
1.430
1.640
1.740
1.780
1.800
1.770
1.750
1.700
1.650
1.580
1.450
1.330
1.250
1.460
1.640
1.750
1.780
1.800
1.770
1.750
1.720
1.640
1.550
1.450
1.340
82
82
82
81
81
80
80
79
79
79
78
77
76
83
83
84
85
85
85
86
86
87
87
87
88
88
91
91
91
90
90
90
90
90
90
89
89
89
89
-30.0
-24.3
-21.6
-11.5
-9.3
-5.1
0.3
6.1
10.5
15.1
20.1
25.9
30.0
-29.5
-25.3
-21.4
-11.7
-8.8
-6.3
-1.3
3.4
11.4
14.0
19.1
24.7
30.0
-30.0
-24.6
-21.8
-11.6
-8.8
-4.0
-0.1
6.1
11.1
15.1
20.6
25.1
29.9
30.1
24.4
21.6
11.6
9.4
5.2
1.1
6.1
10.5
15.1
20.1
25.9
30.0
29.6
25.3
21.5
11.8
8.9
6.4
1.7
3.5
11.4
14.0
19.1
24.7
30.0
30.1
24.7
21.8
11.7
8.9
4.1
1.0
6.1
11.1
15.1
20.6
25.1
29.9
1.6418
1.5831
1.6915
1.6509
1.6653
1.6787
1.6938
1.6927
1.6888
1.6642
1.6754
1.6575
1.6605
1.6034
1.5952
1.6975
1.6432
1.6658
1.6869
1.6769
1.6778
1.6895
1.6703
1.6797
1.6468
1.6605
1.1792
1.6018
1.7076
1.6517
1.6658
1.6930
1.6823
1.6927
1.7053
1.6744
1.6750
1.6563
1.6699
87.09
85.52
88.39
87.25
87.63
87.90
88.29
88.18
88.08
87.44
87.65
87.10
87.10
86.14
85.92
88.71
87.36
87.96
88.52
88.34
88.36
88.75
88.24
88.49
87.70
88.07
74,42
86.73
89.55
87.99
88.36
89.08
88.80
89.08
89.41
88.51
88.53
88.03
88.39
75.33
77.88
82.18
85.47
86.46
87.53
88.28
87.68
86.59
84.41
82.31
78.36
75.42
74.91
77.65
82.56
85.52
86.90
87.96
88.30
88.20
86.99
85.63
83.62
79.68
76.26
64.39
78.82
83.15
86.16
87.30
88.85
88.79
88.57
87.74
85.45
82.87
79.71
76.63
Res
Vdir
Average
Cl-193
Vax
-30
-25
-20
-15
-10
29.93
24.80
21.63
11.70
9.07
-5 |; 5.26
0
5
10
1.24
5,26
11.02
15 ! 14.74
20
25
30
19.94
25.23
L 29.97
., --- -., 82.55
~f~ "??"ซง'" "l 86.06
it- *.*?: ] 88.89
Tr- "& ' 87.53
- """" " 87.98
- > 88.50
' - '"-: 88.48
* ' 88.54
88.75
','.- - 88.06
, -:" 88.22
: 87.61
3> ' 87.85
71.54
78.12
82.63
85.72
86.89 |
88.12
88.45
88.15
87,11
85.16
82.93 i
79.25
76.10
TABC11Q7.WK4
04/01/99
-------
Table C1-108. Spherical SPH-2 Intermediate Computations - 90 fps
Probe: Spherical SPH-2 / Intermediate 30-60 Calibration Pre-test
Velocity Point: 90 fps Cal Date:
Number Of Points:
39
07/22/97
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pttfh Yltft/ --n-TTTT - ..I.I. 1 f-lT*
ilUjit I dw -- "* ~- ปซ- vjoo
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.85
0.00
29.85
28.84
28.73
NA
0
82.10
1.0
16.2
16.3
9.50
ซ AKI
Pitch
Probe ID:
Pilot Cp;
C02, %d:
02, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-2
1.00
0.00
20.9
1
3.81%
83 _F
61
Volumetric Air Flow Rate,
SCFM Wet:
r
1"*! f-Q ^"v
Resultant Pt-Ps
6]
\/dAf" itiac ft/ccif
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-2.8
-1.8
-1.3
-1.2
-1.1
-1.0
-1.0
-0.8
-0.8
-0.4
-0.3
0.1
0.6
-2.6
-2.0
-1.2
-1.3
-1.3
-1.2
-1.0
-0.9
-0.8
-0.4
-0.2
0.1
0.8
-2.3
-1.8
-1.3
-1.4
-1.0
-1.1
-1.0
-0.8
-0.8
-0.4
-0.2
-0.2
0.7
-2.750
-2.800
-2.800
-1.890
-1.660
-1.140
-0.440
0.400
1.100
1.640
2.200
2.700
3.000
-2.700
-2.850
-2.800
-1.900
-1.600
-1.300
-0.650
-0.010
1.210
1.510
2.100
2.600
2.950
-2.800
-2.850
-2.840
-1.900
-1.600
-1.000
-0.500
0.400
1.180
1.650
2.250
2.650
2.950
1.260
1.450
1.630
1.750
1.780
1.790
1.780
1.750
1.710
1.630
1.560
1.430
1.330
1.250
1.430
1.640
1.740
1.780
1.800
1.770
1.750
1.700
1.650
1.580
1.450
1.330
1.250
1.460
1.640
1.750
1.780
1.800
1.770
1.750
1.720
1.640
1.550
1.450
1.340
82
82
82
81
81
80
80
79
79
79
78
77
76
83
83
84
85
85
85
86
86
87
87
87
88
88
91
91
91
90
90
90
90
90
90
89
89
89
89
-30.0
-25.7
-22.0
-11.3
-9.1
-5.3
0.7
6.7
11.8
15.2
19.8
25.7
29.4
-30.0
-27.4
-21.8
-11.5
-8.7
-6.4
-1.0
3.6
12.4
14.3
18.9
24.6
29.1
-30.0
-26.3
-22.2
-11.4
-8.7
-4.0
0.3
6.7
12.2
15.2
20.3
25.1
28.9
30.1
25.8
22.0
11.4
9.2
5.3
1.2
6.8
11.8
15.2
19.8
25.7
29.4
30.1
27.5
21.8
11.6
8.8
6.5
1.4
3.7
12.4
14.3
18.9
24.6
29.1
30.1
26.4
22.2
11.5
8.8
4.1
1.0
6.8
12.2
15.2
20.3
25.1
28.9
1.6104
1.5934
1.6620
1.5964
1.6065
1.6095
1.6372
1.6438
1.6654
1.6400
1.6285
1.6309
1.6334
1.5977
1.6737
1.6677
1.5895
1.6058
1.6203
1.6184
1.6217
1.6660
1.6467
1.6374
1.6225
1.6215
1.1403
1.6398
1.6782
1.5975
1.6058
1.6250
1.6262
1.6438
1.6816
1.6501
1.6284
1.6328
1.6284
86.25
85.78
87.62
85.80
86.07
86.07
86.80
86.90
87.47
86.80
86.41
86.40
86.38
85.99
88.01
87.93
85.93
86.37
86.75
86.78
86.87
88.13
87.62
87.37
87.05
87.02
73.18
87.75
88.78
86.54
86.76
87.28
87.31
87.78
88.79
87.87
87.29
87.41
87.29
74.61
77.26
81.24
84.11
84.96
85.69
86.78
. 86.29
85.62
83.75
81.29
77.87
75.22
74.39
78.07
81.63
84.18
85.35
86.20
86.76
86.69
86.06
84.89
82.66
79.13
76.06
63.32
78.63
82.18
84.80
85.75
87.05
87.29
87.17
86.78
84.79
81.85
79.19
76.42
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Vax
30.10
26.54
22.02
11.47
8.93
I 5.33
1.22
5.75
12.15
14.92
19.69
25.12
29.14
.- '-'^i'.'-A 81.81
-^sH 87.19
> >":?"*ฃ"l 88.11
- i^J, -'1 86.09
.-.: ; 86.40
: .-' , 86.70
. - - ; 86.96
! 87.18
: -" 88.13
'' 87.43
: "- ' ! 87.02
86.95
f;- ' 86.90
70.77
77.99
81.68
84.37
85.35
86.31
86.94
86.72
86.15
84.48
81.93
78.73
75.90 i
TABC1108.WK4
Cl-194
04/01/99
-------
Table C1-109. Spherical SPH-2 Post-test Computations - 90 fps
Probe: Spherical SPH-2 / Post-Test 30-60 Calibration Pre-test
Velocity Point: 90 fps Cal Date:
11/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in,H2O
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.85
0,00
29.85
28.84
28.73
NA
0
85.28
1.0
16,3
16.4
9.31
ซ! AKI
Pitch
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur,:
Avg Temp:
Last Row:
SPH-2
1.00
0.00
20.9
1
3.81%
83 F
61 ~
Volumetric Air Flow Rate,
SCFM Wet:
:
Resultant Pt-Ps
3
..
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-2.8
-1.8
-1.3
-1.2
-1,1
-1.0
-1.0
-0.8
-0.8
-0.4
-0.3
0.1
0.6
-2.6
-2.0
-1.2
-1.3
-1.3
-1.2
-1.0
-0.9
-0.8
-0.4
-0.2
0.1
0.8
-2.3
-1.8
-1.3
-1.4
-1.0
-1.1
-1.0
-0.8
-0.8
-0.4
-0.2
-0.2
0.7
-2.750
-2.800
-2.800
-1.890
-1.660
-1.140
-0.440
0.400
1.100
1.640
2.200
2.700
3.000
-2.700
-2.850
-2.800
-1.900
-1.600
-1.300
-0.650
-0,010
1.210
1.510
2.100
2.600
2.950
-2.800
-2.850
-2.840
-1.900
-1.600
-1.000
-0.500
0.400
1.180
1.650
2.250
2.650
2.950
1.260
1.450
1.630
1.750
1.780
1.790
1.780
1.750
1.710
1.630
1.560
1.430
1.330
1.250
1.430
1.640
1.740
1.780
1.800
1.770
1,750
1.700
1.650
1,580
1.450
1.330
1.250
1.460
1.640
1.750
1.780
1.800
1.770
1.750
1.720
1.640
1.550
1.450
1.340
82
82
82
81
81
80
80
79
79
79
78
77
76
83
83
84
85
85
85
86
86
87
87
87
88
88
91
91
91
90
90
90
90
90
90
89
89
89
89
Average
-30.0
-24,8
-21.1
-11.9
-10.3
-5.1
0.3
7.0
11.6
15.2
20.4
25.5
30.0
-30.0
-26.2
-20.9
-12.0
-9.8
-6.6
-1.3
4.0
12.3
14.3
19.4
24.5
29.5
-30,0
-25.2
-21.3
-12.0
-9.8
-3.9
-0.2
7.0
12.0
15,2
20.8
24.8
29.3
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.1
24.9
21.1
12.0
10.3
5.2
1.1
7.1
11.7
15.2
20.4
25.5
30.0
30.1
26.3
20.9
12.1
9.9
6.7
1.7
4.1
12.3
14.3
19.4
24.5
29.5
30.1
25.3
21.4
12.1
9.9
4.1
1.0
7.1
12.1
15.2
20.8
24.8
29.3
Res
30.10
25.49
21.15
12.05
10.03
5.33
1.25
6.11
12.02
14.91
20.20
24.95
29.60
1
1
1
1
1
1
1
1
1
1
1
1
1
.1
.7324
.6683
.7580
.7568
.7755
.7800
.7849
.7869
.7849
.7414
.7564
.7395
.7494
.7187
1.7286
1.7630
1
1
1
1
1
.7477
.7736
.7911
.7699
.7688
1.7819
1
1
.7511
.7588
1.7332
1.7359
1
1
1
1
1
1
1
1
1
1
1
.2549
.7006
.7765
.7572
.7736
.7928
.7730
.7869
.8000
.7521
.7568
1.7422
1
\
VJ-,
A
.,,
^
.
ป
.7430
:??'.;.' ,
--' ' .' "
="- 7,-
-
-~
'-
' _
89.46
87.79
90.12
90.00
90.48
90.51
90.63
90.60
90.55
89,44
89.74
89.23
89.40
89.18
89.44
90.41
90.10
90.76
91.21
90.75
90.73
91.14
90.35
90.55
89.97
90.04
76.77
89.37
91.34
90.76
91.18
91.67
91.17
91.52
91.86
90.54
90.66
90.29
90.31
Vdir
85.14
88.86
90.62
90.29
90.81
91.13
90.85
90.95
91.18
90.11
90.32
89.83
89.92
77.38
79.65
84.05
88.04
89.02
90.14
90.62
89.91
88.68
86.30
84,13
80.51
77.44
77.18
80.18
84,43
88.09
89.41
90,58
90.71
90.49
89.04
87.56
85.41
81.89
78.35
66.43
80.80
85.05
88.76
89.83
91.44
91.15
90.82
89.83
87.37
84.75
81.94
78.74
Vax
73.65 "I
80.21
84.51
88.30
89.42 i
90.72
90.83
90.41
89,18
87.08 I
84.76 !
81.45
78.18
TABC1109.WK4
Cl-195
04/01/99
-------
This Page Intentionally Left Blank
Cl-196
-------
ATTACHMENT L.
Spherical Probe SPH-3 Calibration Data
Cl-197
-------
Figure C1-66. Spherical Probe 3 - Avg. (30-60 fps) F1 vs. Pitch Angle
3 Pre- and Post Test Wind Tunnel Calibration
0 -
-2
-3
-30 -25 -20 -15
-10 -50 5 10
Pitch Angle (degrees)
04/05/97 ^6/27/97 +7/21/97
B
11/06/97
[Note: Each point is the mean of three replicates.^
SPHCMPR.WK4
04/01/99
-------
o
Figure C1-67. Spherical Probe 3 - Avg. (30-60 fps) F2 vs. Pitch Angle
125 Pre- and Post Test Wind Tunnel Calibration
-25 -20 -15 -10 -5
10
15 20 25 30
Pitch Angle (degrees)
04/05/97 ^6/27/97 * 7/21/97 s 11/06/97
[Note: Each point is the mean of three replicates.)
SPHCMPR.WK4
04/01/99
-------
to
o
O
Figure Cl-68. Spherical Probe 3: Percent Difference in F2 (Avg. 30-60 fps)
I
NCSU Pre- (6/28/97) and Post-Test (1 1/6/97) Wind Tunnel Calibrations |
2
1
CM ฐ
LL
C.
"(D -1
O
C.
Q)
(D -2
Q
xO
W ^5
-4
-5
.
- : - - - - ... . . - .. - -
^M -~ --- ' H
^B ^^^ m ^
_ X* X x- ^ m~ m-* ""
- .
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
| Note: Each point represents the mean of three replicates. |
SPHCMPR.WK4
04/01/99
-------
Table C1-110. Spherical Probe SPH-3 Calibrations at NC State Wind Tunnel
June and November 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
28.16
20.51
15.47
12,93
6.96
0.84
4.07
5.95
14.22
18.67
23.81
29.22
Directional
Velocity
{fps)
Axial
Velocity
(fps)
29.17 25.26
32.78
28.89
30.80 | 28.85
30.86
31.04
I 29.74
I 30.24
30.85 I 30.62
30.86 J 30.86
30.96
30.94
31.01
30.84
31.11
31.04
30.89
30.77
30.06
. 29.22
28.46
27.09
30 fps / November / 30-60 Calibration
Resultant | Directional
Angle j Velocity
(degrees) I (fps)
30.00 29.76
28.89
20.46
33.94
31.46
13.89 31.56
12.05 I 31.83
7.10
1.71
4.81
7.18
16.31
31.68
31.69
31.90
31.87
31.83
19.24 _j_ 31.47
24.31
29.04
31.71
31.77
Axial
Velocity
(fps)
25.77
29.71
29.48
30.64
31.13
31.44
31.68
31.78
31.61
30.55
29.71
28.90
27.78
% Change
Resultant
Angle
0.00
2.60
-0.23
-10.19
-6.80
2.00
103.04
18.38
20.64
14.69
3.06
2.11
-0.62
Directional
Velocity
Axial
Velocity
2.01 I 2.01
3.54 I 2.86
2.14
2.30
2.55
2.69
2.71
3.01
3.01
2.64
2.04
1.92
2.38
2.17
3.04
2.92
2.66
2.67
2.91
2.75
1.62
1.69
1.52
2.56
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
24.73
23.99
19.43
14,34
7.71
3.04
0.61
6.62
11.89
16.24
21.16
26.26
30.02
Directional
Velocity
(fps)
51.78
58.55
59.08
58.95
58.89
58.87
Axial
Velocity
(fps)
47.03
53.48
55.71
57.10
58.35
58.79
58.82 I 58.81
58.64 58.25
58.74 j 57.48
58.61
56.27
58.91 i 54.93
58.36
58.18
52.34
50.38
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
26.85
25.64
18.91
13.05
7.82
3.55
0,44
7.80
13.58
Directional
Velocity
(fps)
54.67
61.83
60.24
60.38
60.47
60.46
60.39
60.38
60.31
17.79 60.05
21.35
26.56
60.01
59.61
29.92 59.70
Axial
Velocity
(fps)
48.77
55.70
56.98
58.81
59.91
60.34
60,39
59.82
58.63
57.17
55.88
53.32
51.74
% Change
Resultant
Angle
8.60
6.90
-2.69
-8.97
1.50
16.94
-27.21
17.79
14.14
Directional
Velocity
Axial
Velocity
5.57 I 3.69
5.60 4.14
1.96
2.43
2.27
3.00
2.69 I 2.67
2.69 | 2.64
2.68 2.68
2.96
2.70
2.68 2.00
9.54 | 2.45 | 1.61
0.91
1.87 1.73
1.15 ! 2.13
-0.33 2.61
1.87
2.72
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / June / 30-60 Calibration
Resultant
Angle
Jdegrees}_
29.88
24.90
20.88
15.39
9.07
3.88
1.08
6.05
11.91
15.84
20.53
25.55
30.01
Directional
Velocity
(fps)
82.57
86.89
88.83
88.49
88.02
88.64
88.36
87.99
88.53
87.93
88.22
87.94
86.51
Axial
Velocity
(fps)
71.60
78.80
82.99
85.31
86.90
88.44
88.34
87.48
86.63
84.59
82.61
79,34
74.91
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.80
26.61
20.99
13.82
9.14
4.25
0.90
7.14
13.61
17.55
20.65
25.97
30.01
Directional
Velocity
(fps)
84.10
91.80
90.95
90.54
90.39
91.02
90.74
Axial
Velocity
(fps)
72.99
82.06
84.91
87.91
89.23
90.77
90.72
90.61 | 89.89
90.90 I 88.35
90.14
89.85
85.95
84.07
89.76 ! 80,70
88.84
76.93
% Change
Resultant
Angle
-0.27
6.86
0.54
-10.18
0.72
9.48
-17.09
18.12
14.21
10.82
0.57
1.64
-0.00
Directional
Velocity
1.85
5.65
2.40
2.32
2.70
2.69
2.70
2^8 '
2.67
Axial
Velocity
1.94
4.14
2.31
3.05
2.68
2.64
2.70
2.75
1.99
2.52 j 1.60
1.85 1.77
2.07 J 1.71
2.70
2.70
TABC1110.WK4
C1-20I
- 04/01/99
-------
o
Figure Cl-69. Spherical Probe SPH-3 Pre- and Post-Test Calibrations
NC State Wind Tunnel June and November 1997
-10 -5 0 5
Pitch Angle (degrees)
10
15
L.
20
25
30
30 fps
60 fps
90 fps
TABC1110.WK4
04/01/99
-------
Table C1-111. Spherical Probe SPH-3 Calibrations at NC State Wind Tunnel
June and July 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
28.16
20.51
15.47
12.93
6.96
0.84
4.07
Directional
Velocity
(fps)
Axia!
Velocity
(fps)
29.17 25,26
32.78
28.89
30.80 j 28.85
30.86 I 29.74
31,04 I 30.24
30.85
30.86
30.96
5.95 30.94
14.22 | 31.01
18,67
23.81
29.22
30.84
31.11
31.04
30.62
30.86
30,89
30.77
30.06
29.22
28.46
27.09
30 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
30.00
21.71
15.94
13.54
8.16
2.42
4.00
5.79
Directional
Velocity
(fps)
29.02
33.72
31.18
30.84
31.00
30.77
30.68
30.90
30.91
13.84 30.93
Axial
Velocity
(fps)
25.13
29.20
28.97
29.65
30.13
30.46
30.66
30.82
30.76
30.03
18.11 I 30.62 | 29.11
23.21
30.89
28.39
27.67 | 30.88 | 27.35
% Change
Resultant
Angle
0.00
6.56
5.87
3.03
4.68
17.22
187.38
-1.64
-2.58
-2.68
-3.02
-2,49
-5.31
Directional
Velocity
-0.53
2.86
1.22
-0.06
-0.13
-0.25
-0.57
-0.22
-0.07
-0.25
-0.70
-0.71
Axial
Velocity
-0.53
1.08
0.40
-0.29
-0.37 .
-0.53
-0.65
-0.21
-0.04
-0.09
-0.38
-0.26
-0.50 | 0.98
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
' 60 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)_
24.73
23.99
19.43
Directional
Velocity
(fps)
Axial
Velocity
(fps)
51 .78 j 47.03
58.55
59.08
14.34 j 58.95
7.71
3.04
0.61
6.62
11.89
58.89
58.87
58.82
58.64
58.74
16.24 I 58.61
21.16 58.91
26.26
30.02
58.36
58.18
53.48
55,71
57.10
58.35
58.79
58.81
58.25
57.48
56.27
54.93
52.34
50.38
60 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
29.46
27.57
20.41
14.86
8.75
5.06
0.59
6.24
10.98
15.89
20.51
25.49
Directional
Velocity
(fps)
55.03
62.31
59.39
58.86
58.77
58.53
58.47
58.61
58.69
Axial
Velocity
(fps)
47.91
55.14
55.66
56.89
58.08
58.31
58.46
58.27
57.62
58.34 I 56.11
58.37 54.67
, 58.03 52.38
28.83 i 58.18 | 50.97
% Change
Resultant I Directional
Angle | Velocity
19.16 j 6.28
14.92 | 6.41
5.14
3.62
13.51
66.74
-3,15
-5.82
-7.72
-2.13
-3.05
-2,92
-3.95
0.52
-0.14
-0.20
-0.57
-0.60
-0.05
-0.09
-0.46
-0.91
-0.57
Axial
Velocity
1,86
3.11
-0.10
-0.37
-0.46
-0.82
-0,60
0.03
0.24
-0.29
-0.48
0.08
0.00 I 1.18
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
29.88
24.90
20.88
15.39
9.07
3.88
1.08
6.05
11.91
15.84
20.53
25.55
30.01
Directional
Velocity
(fps)
82,57
86.89
88.83
88.49
88.02
88.64
Axial
Velocity
(fps)
71.60
78.80
82.99
85.31
86.90
88.44
88.36 | 88.34
87.99
88.53
87.93
87.48
86.63
84.59
88.22 I 82.61
87.94 l 79.34
86.51 I 74.91
90 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
30.00 82.34
28.76
93.04
22.19 ! 90.06
15.85
9.97
5.73
1,11
5.75
11.00
15.53
19.86
24.93
29.13
88.42
87,96
88.21
87.85
87.91
88.46
87.56
87.45
87.42
86.74
Axial
Velocity
(fps)
71.30
81.54
83.39
85.06
86.62
87.77
87.82
87.46
86.83
84.36
82.24
79,28
75.77
% Change
Resultant
Angle -
0.41
15.52
6.29
3.01
Directional
Velocity
-0.28
7.07
1.39
Axial
Velocity
-0.41
3.47
0.48
-0.07 | -0.30
9.86 J -0.06 ! -0.32
47.59
2.76
-0.49
-0.58
-4.97 I -0.09
-7.67
-1.95
-3.24
-2.43
-2,96
-0.09
-0.42
-0.87
L -ฐ-59
0.26
-0,76
-0.59
-0.03
0.24
-0.27
-0.45
-0.08
1.15
TABC1111.WK4
C1-203.
04/02/99
-------
Figure Cl-70. Spherical Probe SPH-3 Pre- and Intermediate Calibrations
NC State Wind Tunnel ~ June and July 1997
-30 -25 -20 -15
-10 -505
Pitch Angle (degrees)
15
20
25
30
30 fps
60 fps
90 fps
TABC1111.WK4
04/02/99
-------
Table C1-112. Spherical SPH-3 Pre-test Computations - 30 fps
Probe: Spherical SPH-3 / Pre-Test 30-60 Calibration Pre-test
Velocity Point; 30 fps . Cal Date:
06/28/87
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hง:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, fUsec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
0.0
-0.3
-0.4
-0,5
-0.4
-0.3
-0.3
-0.4
-0.3
-0.4
-0.3
-0.4
0.0
-0.1
-0.1
-0.4
-0.4
-0.4
-0.4
-0.4
-0.3
-0.4
0.2
0.0
0.0
0.0
-0.5
-0.6
-0.1
-0.4
-0.4
-0.1
-0.1
0.0
0.0
0.0
0.0
0.0
-0.1
29.85
0.00
29.85
28.84
28.73
NA
0
29.30
0.2
16.2
16.2
Deviation:
Readings, in.H2O
Qgg
P4-P5 P1-P2 Temp, F
-0.350
-0.400
-0.350
-0.300
-0.260
-0.200
-0.100
-0.010
0.020
0.170
0.230
0.300
0.360
-0.350
-0.400
-0.350
-0.300
-0.290
-0.200
-0.100
-0.010
0.030
0.150
0.220
0.300
0.350
-0.350
-0.400
-0.360
-0.300
-0.280
-0.190
-0.110
-0.010
0.010
0.180
0.240
0.300
0.360
0.150
0.185
0.200
0.215
0.220
0.220
0.220
0.220
0.218
0.210
0.200
0.190
0.175
0.150
0.176
0.200
0.210
0.218
0.220
0.220
0.220
0.219
0.210
0.200
0.195
0.180
0.150
0.185
0.200
0.215
0.220
0.220
0.220
0.220
0.219
0.210
0.200
0,190
0.180
83
83
83
83
83
83
83
82
82
82
82
82
82
87
87
87
87
87
87
86
86
86
86
86
86
86
86
86
86
86
85
85
85
85
85
85
85
85
85
Average
9.65
Probe ID: SPH-3
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3,77%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
j
ซ ANGLES ป
Pitch Resultant Pt-Ps
-30
-27
.0
.2
-20.3
-15.3
-11
-7.
-0.
A
2
5
4.1
5.9
14.4
18.7
24.0
29.9
-30.0
-30.0
-20.3
-15
.8
-14.2
-7.2
-0.5
4.1
6.8
13.5
18.0
23.5
28.5
-30
-27
.0
.2
-20.9
-15
-13
-6
-1
.3
.1
5
2
4.1
5.1
14.8
19.4
24.0
29.2
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.0
27.2
20.3
15.3
11.5
7.2
0.6
4,1
6.0
14.4
18.7
24.0
29.9
30.0
30.0
20.3
15.8
14.2
7.2
0.7
4.1
6.8
13.5
18.0
23.5
28.5
30.0
27.2
20.9
15.3
13.1
6.5
1.2
4.1
5.1
14.8
19.4
24.0
29.2
Res
30.00
28.16
20.51
15.47
12.93
6.96
0.84
4.07
5.95
14,22
18.67
23.81
29.22
0.2045
0.2268
0.2033
0.2061
0.2065
0.2049
0.2052
0.2067
0.2057
0.2075
0.2050
0.2072
0.2055
0.2045
0.2400
0.2033
0.2024
0.2074
0.2049
0.2052
0.2067
0.2071
0.2062
0.2038
0.2114
0.2078
0.1438
0.2268
0.2060
0.2061
0.2082
0.2049
0.2051
0.2067
0.2061
0.2082
0.2062
0.2072
0.2096
-^
f, , !>",-;,,
*!;'^
-~
_ -*- ,
.. _ .
.,~-J ;
"' ' ?
' ' ''\'
_A! _
0
1
Velocities, ft/sec
Flow Dir Axial
30.77
32.40
30.67
30.88
30.92
30.79
30.81
30.90
30.82
30.96
30.77
30,94
30.81
30.88
33.45 '
30.78
30.72
31.10
30.91
30.90
31.01
31.04
30.97
30.80
31.36
31.10
25.87
32.49
30.96
30.97
31.10
30.85
30.87
30.98
30.94
31.10
30.95
31.02
31.20
Vdir
29.17
32.78
30,80
30.86
31.04
30.85
30.86
30.96
30.94
31.01
30.84
31.11
31.04
26.64
28.81
28.77
29.79
30.30
30.55
30.81
30.82
30.66
30.00
29.15
28.27
26.70
26.74
28.97
28.87
29.56
30.15
30.66
30.90
30.93
30.83
30.12
29.29
28.77
27.32
22.40
28.89
28.92
29.87
30.29
30.65
30.86
30.91
30.82
30.07
29.20
28.35
27.23
Vax
25.26
28.89
28.85
29.74
30.24
30.62
30.86 ;
30.89 [
30.77
30.06 ;
29.22
28.46
27.09
CI-205
TABC1112.WK4
04/02/99
-------
Table C1-113. Spherical SPH-3 Inermediato Compuations - 30 fps
Probe: Spherical SPH-3 / Intermediate 30-60 Calibration
Velocity Point: 30 fps Cal Date:
07/21/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.85
0.00
29.85
28.84
28.73
NA
0
29.28
0.2
16.5
16.5
9.41
Probe ID: SPH-3
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.77%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
| 0]
Readings, in.H2O
Pitrh
I IIUJ I
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
1 dw
Angle
0.0
-0.3
-0.4
-0.5
-0.4
-0.3
-0.3
-0.4
-0.3
-0.4
-0.3
-0.4
0.0
-0.1
-0.1
-0.4
-0.4
-0.4
-0.4
-0.4
-0.3
-0.4
0.2
0.0
0.0
0.0
-0.5
-0.6
-0.1
-0.4
-0.4
-0.1
-0.1
0.0
0.0
0.0
0.0
0.0
-0.1
P4-P5
-0.350
-0.400
-0.35.0
-0.300
-0.260
-0.200
-0.100
-0.010
0.020
0.170
0.230
0.300
0.360
-0.350
-0.400
-0.350
-0.300
-0.290
-0.200
-0.100
-0.010
0.030
0.150
0.220
0.300
0.350
-0.350
-0.400
-0.360
-0.300
-0.280
-0.190
-0.110
-0.010
0.010
0.180
0.240
0.300
0.360
P1-P2
0.150
0.185
0.200
0.215
0.220
0.220
0.220
0.220
0.218
0.210
0,200
0.190
0.175
0.150
0.176
0.200
0.210
0.218
0.220
0.220
0.220
0.219
0.210
0.200
0.195
0.180
0.150
0.185
0.200
0.215
0.220
0.220
0.220
0.220
0.219
0.210
0.200
0.190
0.180
Gas
Temp, F
83
83
83
83
83
83
83
82
82
82
82
82
82
87
87
87
87
87
87
86
86
86
86
86
86
86
86
86
86
86
85
85
85
85
85
85
85
85
85
Average
ซ AN
rzi CQ >*ป
Pitch Resultant
-30.0
-30,0
-21.4
-15.8
-12.2
-8.3
-2.1
4.0
5.8
14.0
18.1
23.4
28.2
-30.0
-30.0
-21.4
-16.3
-14.7
-8.3
-2.1
4.0
6.3
13.0
17.5
22.9
27.1
-30.0
-30.0
-22.3
-15.8
-13.7
-7.8
-2.9
4.0
5.2
14.5
18.7
23.4
27.7
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.0
30.0
21.4
15.8
12.2
8.3
2.2
4.0
5.8
14.0
18.1
23.4
28.2
30.0
30.0
21.4
16.3
14.7
8.3
2.2
4.0
6.4
13.0
17.5
22.9
27.1
30.0
30.0
22.3
15.8
13.7
7.8
2.9
4.0
5.2
14.5
18.7
23.4
27.7
Res
30.00
30.00
21.71
15.94
13.54
8.16
2.42
4.00
5.79
13.84
18.11
23.21
27.67
Pt-Ps
0.2016
0.2487
0.2079
0.2058
0.2064
0.2039
0.2028
0.2057
0.2054
0
0
2065
2021
0.2043
0
0
0
0
0
0
0
0
2036
2016
2366
2079
2022
2066
2039
2028
0.2057
0
2069
0.2053
0.2012
0.2083
0.2057
0.1436
0.2487
0.2118
0.2058
0
0
0
.2076
.2037
.2028
0.2057
0
0
0
.2057
.2070
.2031
0.2043
0.2075
'&'-"
;-?
f *
i;
''~;
_-
%
~,J-".~ ' ?
f|Jป":. i
Jl> ' "'
^- '
'"v* " r
r
-
- ~ ,-
v.
, !. '
\/ca| A fit IP
VCIUvIlTO
Flow Dir
30.55
33.92
31.02
30.86
30.91
30.72
30.64
30.83
30.80
30.88
30.56
30.72
30.67
30.66
33.21
31.13
30.70
31.03
30.83
30.72
30.94
31.03
30.91
30.60
31.13
30.94
25.85
34.02
31.40
30.94
31.06
30.76
30.69
30.91
30.91
31.01
30.71
30.81
31.05
Vdir
29.02
33.72
31.18
30.84
31.00
30.77
30.68
30.90
30.91
30.93
30.62
30.89
30.88
rt A/Qp,,
Axial
26.45
29.38
28.87
29.70
30.21
30.40
30.62
30.75
30.64
29.96
29.04
28.20
27.03
26.55
28.76
28.98
29.47
30.01
30.51
30.70
30.87
30.84
30.12
29.19
28.68
27.53
22.38
29.46
29.06
29.78
30.17
30.48
30.65
30.84
30.78
30.02
29.08
28.28
27.50
Vax
25.13
29.20
28.97
29.65
30.13
30.46
30.66
30.82
30.76
30.03
29.11
28.39
27.35
C1-206
TABC1113.WK4
04/02/99
-------
Table C1-114. Spherical SPH-3 Post-test Computations - 30 fps
Probe: Spherical SPH-3 / Post-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
11/06/97
Number Of Points:
39,
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yfl\ju
I aW
Angle
0.0
-0.3
-0.4
-0.5
-0.4
-0.3
-0.3
-0.4
-0.3
-0.4
-0.3
-0.4
0.0
-0.1
-0.1
-0.4
-0.4
-0.4
-0.4
-0.4
-0.3
-0.4
0.2
0.0
0.0
0.0
-0.5
-0.6
-0.1
-0.4
-0.4
-0.1
-0.1
0.0
0.0
0.0
0.0
0.0
-0.1
Deviation:
29.85
0.00
29.85
28.84
28.73
NA
0
30.01
0.2
16.5
16.5
9.47
Probe ID: SPH-3
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.77%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
>
0
i
Readings, in.H2O
P4-P5
-0.350
-0.400
-0.350
-0.300
-0.260
-0.200
-0.100
-0.010
0.020
0.170
0.230
0.300
0.360
-0.350
-0.400
-0.350
-0.300
-0.290
-0.200
-0.100
-0.010
0.030
0.150
0.220
0.300
0.350
-0.350
-0.400
-0.360
-0.300
-0.280
-0.190
-0.110
-0.010
0.010
0.180
0.240
0.300
0.360
P1-P2
0.150
0.185
0.200
0.215
0.220
0.220
0.220
0.220
0.218
0.210
0.200
0.190
0.175
0.150
0.176
0.200
0.210
0.218
0.220
0.220
0.220
0.219
0.210
0.200
0.195
0.180
0.150
0.185
0.200
0.215
0.220
0.220
0.220
0.220
0.219
0.210
0.200
0.190
0.180
\wJU>3
Temp, F
83
83
83
83
83
83
83
82
82
82
82
82
82
87
87
87
87
87
87
86
86
86
86
86
86
86
86
86
86
86
85
85
85
85
85
85
85
85
85
Average
^ ~* ni i
Pitch
-30.0
-28.3
-20.2
-13.7
-11.0
-7.3
-1.5
4.8
7.2
16.4
19.2
24.5
29.6
-30.0
-30.0
-20.2
-14.2
-12.9
-7.3
-1.5
4.8
8.0
15.7
18.8
23.9
28.4
-30.0
-28.3
-21.1
-13.7
-12.2
-6.7
-2.0
4.8
6.4
16.8
19.7
24.5
29.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
\~*\~.i.\j " "
Resultant
30.0
28.3
20.2
13.8
11.0
7.3
1.5
4.8
7.2
16.4
19.2
24.5
29.6
30.0
30.0
20.2
14.2
12.9
7.3
1.5
4.8
8.0
15.7
18.8
23.9
28.4
30.0
28.3
21.1
13.8
12.2
6.7
2.0
4.8
6.4
16.8
19.7
24.5
29.0
Res
30:00
28.89
20.46
13.89
12.05
7.10
1.71
4.81
7.18
16.31
19.24
24.31
29.04
Pt-Ps
0.2122
0.2473
0.2115
0.2159
0.2175
0.2161
0.2164
0.2193
0.2182
0.2187
0.2135
0.2153
0.2157
0.2122
0.2490
0.2115
0.2113
0.2179
0.2161
0.2164
0.2193
0.2195
0.2171
0.2127
0.2196
0.2175
0.1506
0.2473
0.2161
0.2159
0.2190
0.2160
0.2163
0.2193
0.2189
0.2194
0.2142
0.2153
0.2197
V blUl/IlI
Flow Dir
31.34
33.83
31.28
31.61
31.73
31.62
31.65
31.83
31.75
31.78
31.40
31.53
31.56
31.46
34.07
31.40
31
39
31.87
31
31
31
74
74
94
31.96
31
31
31
31
79
46
96
82
26.47
33
31
31
31
31
92
71
69
89
68
31.70
31
92
31.89
31.92
31.54
31
31
.62
.94
Vdir
ir"" '. ' >
1 .' "'
'"-."."' \
ฐ
.
~ * * "i
:.-: , .
29
33
31
31
31
31
31
31
31
31
31
31
31
/6
.94
.46
.56
.83
.68
.69
.90
.87
.83
.47
.71
.77
Axial
27.14
29.78
29.37
30.70
31.14
31.37
31.64
31.72
31.50
30.48
29.65
28.70
27.43
27.24
29.51
29.47
30.43
31.06
31.48
31.72
31.83
31.65
30.61
29.78
29.21
27.98
22.93
29.86
29.59
30.79
31.17
31.46
31.68
31.80
31.69
30.56
29.71
28.78
27.93
Vax
25.77 i
29.71
29.48
30.64
31.13
31.44
31.68
31.78
31.61
30.55
29.71
28.90 i
27.78 |
C1-207
TABC1114.WK4
04/02/99
-------
Table C1-115. Spherical SPH-3 Pre-test Computations - 60 fps
Probe: Spherical SPH-3 / Pre-Test 30-60 Calibration Pre-test
Velocity Point: 60 fps Cal Date:
06/28/i7
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
D;t u V'aiii
F HCn T 9W -
Rep Angle Angle P4-P5 P1-P2
1 -30 0.0 -1.150 0.550
-25 -0.2 -1.300 0,670
-20 -0.1 -1.240 0.750
-15 -0.1 -1.000 0.790
-10 -0.1 -0.750 0.800
-5 0.0 -0,500 0.800
0 0.3 -0.290 0.790
5 0.4 0.090 0.780
10 0,3 0.400 0.760
15 0.5 0.700 0.740
20 0.5 1.000 0.700
25 0.5 1.150 0.650
30 1.2 1.320 0.600
2 -30 -0.5 -1.140 0.540
-25 -0.5 -1.420 0.670
-20 -0.1 -1.250 0.750
-15 -0.1 -1.100 0.780
-10 -0.1 -0.720 0.800
-5 0.0 -0.500 0.800
0 0.0 -0.290 0.800
5 0.4 0.090 0.780
10 0.4 0.400 0.770
15 0.3 0.750 0.730
20 0.4 0.950 0.710
25 0.4 1.150 0.650
30 0.9 1.300 0.630
3 -30 -0.5 -1.150 0.550
-25 -0.5 -1.400 0.680
-20 -0.1 -1.290 0.740
-15 -0.1 -1,050 0.780
-10 -0.2 -0.800 0.800
-5 0.0 -0.500 0.800
0 -0.1 -0.290 0.800
5 -0.1 0.120 0.790
10 0.1 0.410 0.770
15 -0.4 0.700 0.740
20 0.6 0.910 0.720
25 0.5 1.160 0.660
30 1.0 1.330 0.630
Ga
-------
Table C1-116. Spherical SPH-3 Intermediate Compilations - 60 fps
Probe: Spherical SPH-3 / Intermediate 30-60 Calibration
Velocity Point: 60 fps Cal Date:
07/21/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wl. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
s
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
0.0
-0.2
-0.1
-0.1
-0.1
0.0
0.3
0.4
0.3
0.5
0.5
0.5
1.2
-0.5
-0.5
-0.1
-0.1
-0.1
0.0
0.0
0.4
0.4
0.3
0.4
0.4
0.9
-0.5
-0.5
-0.1
-0.1
-0.2
0.0
-0.1
-0.1
0.1
-0.4
0.6
0.5
1.0
Standard
Deviation:
Readings, in.H2O
P4-P5
-1.150
-1.300
-1.240
-1.000
-0.750
-0.500
-0.290
0.090
0.400
0.700
1.000
1.150
1.320
-1.140
-1.420
-1.250
-1.100
-0.720
-0.500
-0.290
0.090
0.400
0.750
0.950
1.150
1.300
-1.150
-1.400
-1.290
-1.050
-0.800
-0.500
-0.290
0.120
0.410
0.700
0.910
1.160
1.330
P1-P2
0.550
0.670
0.750
0.790
0.800
0.800
0.790
0.780
0.760
0.740
0.700
0.650
0.600
0.540
0.670
0.750
0.780
0.800
0.800
0.800
0.780
0.770
0.730
0.710
0.650
0.630
0.550
0.680
0.740
0.780
0.800
0.800
0.800
0.790
0.770
0.740
0.720
0.660
0.630
Gas
Temp, F
84
84
84
84
84
84
84
83
83
83
83
83
83
87
87
87
87
87
87
87
86
86
86
86
86
86
87
87
87
87
87
86
86
86
86
86
86
86
86
Average
29.85
0.00
29.85
28.84
28.73
NA
0
55.42
0.3
16.5
16.5
9.51
Probe ID: SPH-3
PitotCp: 1.00
CO2, %d: 0.00
02, %d: 20.9
Water, %: 1
% Satur.: 3.86%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
ซ ANGLES ป
Pitch
-29.2
-24.6
-19.9
-13.6
-8.7
-5.1
-0.6
6.1
11.0
15.5
21.5
25.5
29.5
-29.9
-30.0
-20.1
-16.0
-8.2
-5.1
-0.5
6.1
10.9
16.6
20.4
25.5
28.2
-29.2
-28.1
-21.3
-15.0
-9.4
-5.1
-0.5
6.5
11.0
15.5
19.5
25.4
28.7
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
29.2
24.6
19.9
13.6
8.7
5.1
0.7
6.1
11.0
15.6
21.6
25.5
29.5
29.9
30.0
20.1
16.0
8.2
5.1
0.5
6.1
10.9
16.6
20.5
25.5
28.3
29.2
28.1
21.3
15.0
9.4
5.1
0.5
6.5
11.0
15.6
19.5
25.4
28.7
Res
29.46
27.57
20.41
14.86
8.75
5.06
0.59
6.24
10.98
15.89
20.51
25.49
28.83
Pt-Ps
0.7208
0.7470
0.7522
0.7453
0.7421
0.7367
0.7288
0.7359
0.7352
0.7343
0.7335
0.7218
0.7137
0.7240
0.9006
0.7546
0.7486
0.7414
0.7367
0.7381
0.7359
0.7446
0.7297
0.7322
0.7218
0.7336
0.5189
0.8586
0.7671
0.7398
0.7431
0.7367
0.7381
0.7471
0.7451
0.7343
0.7352
0.7315
0.7391
I
0
Velocities, ft/sec
Flow Dir
57
58
59
58
81
85
06
78
58.66
58.44
58
58
13
36
58.33
58.29
58
57
26
80
57.47
58
10
64.80
59.31
59.08
58.79
58.61
58.66
58.52
58.86
58.27
58.37
57.96
58.43
49.18
63.27
59.80
58.73
58.86
58.55
58.61
58.96
.58.88
58.45
58.49
58.34
58.65
Vdir
- ,-\ ',- 55.03
" -^~> | 62.31
'-' . 59.39
~ '< 58.86
ft, ' 58.77
.' , 58.53
- . ' 58.47
|r :_- 58.61
- *~*.~ 58.69
58
34
' 58.37
58.03
? ...
58
18
Axial
50.45
53.53
55.55
57.13
57.99
58.22
58.13
58.03
57.26
56.16
54.19
52.15
50.00
50.35
56.11
55.71
56.79
58.19
58.38
58.66
58.19
57.80
55.85
54.69
52.30
51.46
42.92
55.79
55.71
56.73
58.07
58.32
58.60
58.58
57.79
56.31
55.12
52.69
51.44
Vax
4731 |
55.14
55.66
56.89
58.08 i
58.31
58.46
58.27
57.62
56.11
54.67
52.38
50.97
TABC1116.WK4
C1-209.
04/02/99
-------
Table C1-117. Spherical SPH-3 Post-test Computations - 60 fps
Probe: Spherical SPH-3 / Post-Test 30-60 Calibration
Velocity Point: 60 fps Cal Date:
11/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec;
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard Deviation:
29.85
0.00
29.85
28.84
28.73
NA
0
56.73
0.3
16.4
16.4
9.34
Probe ID: SPH-3
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3,86%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I
^ฐJ
Readings, in.H2O
Pitrh
r IlLi I
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
1 aW
Angle
0.0
-0.2
-0.1
-0.1
-0.1
0.0
0.3
0.4
0.3
0.5
0.5
0.5
1.2
-0.5
-0.5
-0.1
-0.1
-0.1
0.0
0.0
0.4
0.4
0,3
0.4
0.4
0.9
-0.5
-0.5
-0.1
-0.1
-0.2
0.0
-0.1
-0.1
0.1
-0.4
0.6
0.5
"1.0
P4-P5
-1.150
-1.300
-1.240
-1.000
-0.750
-0.500
-0.290
0.090
0.400
0.700
1.000
1.150
1.320
-1.140
-1.420
-1.250
-1.100
-0.720
-0.500
-0.290
0.090
0.400
0.750
0.950
1.150
1.300
-1.150
-1.400
-1.290
-1.050
-0.800
-0.500
-0.290
0.120
0.410
0.700
0.910
1.160
1.330
P1-P2
0.550
0.670
0.750
0.790
0.800
0.800
0.790
0.780
0.760
0.740
0.700
0.650
0.600
0.540
0.670
0.750
0.780
0.800
0.800
0.800
0.780
0.770
0.730
0.710
0.650
0.630
0.550
0.680
0.740
0.780
0.800
0.800
0.800
0.790
0.770
0.740
0.720
0.660
0.630
Gas
Temp, F
84
84
84
84
84
84
84
83
83
83
83
83
83
87
87
87
87
87
87
87
86
86
86
86
86
86
87
87
87
87
87
86
86
86
86
86 "
86
86
86
Average
ซ AN
Pitch
-26.7
-23.6
-18.2
-12.1
-7.7
-3.6
-0.4
7.6
13.6
17.6
22.5
26.6
30.0
-27.2
-27.3
-18.5
-13.9
-7.2
-3.6
-0.4
7.6
13.5
18.2
21.3
26.6
29.7
-26.7
-26.0
-20.0
-13.1
-8.6
-3.6
-0.4
8.2
13.7
17.6
20.3
26.5
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
C'l P^ ป
Resultant
26.7
23.6
18.2
12.1
7.7
3.6
0.5
7.6
13.6
17.6
22.5
26.6
30.0
27.2
27.4
18.5
13.9
7.2
3.6
0.4
7.6
13.5
18.2
21.3
26.6
29.7
26.7
26.0
20.0
13.1
8.6
3.6
0.4
8.2
13.7
17.6
20.3
26.5
30.0
Res
26.85
25.64
18.91
13.05
7.82
3.55
0.44
7.80
13.58
17.79
21.35
26.56
29.92
Pt-Ps
0.6931
0.7674
0.7787
0.7859
0.7859
0.7859
0.7777
0.7813
0.7764
0.7782
0.7748
0.7616
0.7438
0.6922
0.8648
0.7804
0.7840
0.7857
0.7859
0.7876
0.7813
0.7863
0.7723
0.7746
0.7616
0.7772
0.5472
0.8336
0.7801
0.7804
0.7861
0.7859
0.7876
0.7922
0.7869
0.7782
0.7762
0.7717
0.7810
V
Vs. ivjw*i.i&
Flow Dir
56
69
59.65
60.09
60.36
60
36
60.36
60.05
60.13
59
94
60.01
59.88
59.37
58.67
56.81
63.50
60.32
60.46
60.52
60.53
60.59
60.30
60.49
59.95
60,04
59.53
60.14
50.51
62.34
60
31
60.32
60.54
60.47
60.54
60.72
60.51
60.18
60.10
59.92
60.29
Vdir
, . " - % ! 54.67
.---4'; i 61.83
---'-"'.'. ' 60.24
60.38
60.47
: 60.46
r - ' '
~~ ..:
i ,
, 60
' 60
' 60
39
38
31
60.05
^x
* - >
ii..,.
60
" 59
59
01
61
70
_ ฃ11 ~
Axial
50.65
54.65
57.08
59.02
59.82
60.25
60.05
59.61
58.27
57.21
55.33
53.08
50.80
50.54
56.40
57.21
58.68
60.05
60.41
60.59
59.77
58.82
56.94
55.95
53.23
52.23
45.12
56.04
56.66
58.74
59,86
60.36
60.54
60.09
58,80
57.37
56.37
53.64
52.20
Vax
48,77=P
55.70 I
56.98
58.81
59.91
60.34
60.39
59.82
58.63
57.17
55.88
53.32
51.74 I
TABC1117.WK4
Cl-210
04/02/99
-------
Table C1-118. Spherical SPH-3 Pro-test Computations - 90 fps
Probe: Spherical SPH-3 / Pre-Test 30-60 Calibration Pre-test
Velocity Point: 90 fps Cal Date:
06/28/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/Ib-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Qfi,nt-t %/ซป*ป t~*r*f*
i Hen Y ciw --ป-- -ป. . ods
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.85
0.00
29.85
28.84
28.73
NA
0
82.92
0.3
16.5
16.5
9.48
ซ-ซ- ARJf5| CO ป,
^^- MINOL.CO **
Pitch Resultant
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-3
1.00
0.00
20.9
1
4.54%
88 F
61
Volumetric Air Flow Rate,
SCFM Wet:
r
Pt-Ps
Q!
\/aI("*j"4t?ae ft /car*
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-0.5
-0.2
0.0
0.0
0.0
0.0
0.0
0.0
0.2
0.7
0.8
0.9
0.9
-0.7
-0.2
0.0
-0.1
-0.1
-0.1
-0.1
0.0
0.0
-0.6
-0.7
-0.9
-1.0
-0.3
-0.3
-0.1
-0,1
-0.2
0.0
0.0
0.1
0.1
0.6
0.8
0.9
-1.0
-2.800
-3.000
-3.000
-2.450
-1,900
-1.240
-0.500
0.250
1.000
1.610
2.150
2.550
2.950
-2.650
-3.000
-2.900
-2.450
-1.650
-1.240
-0.850
-0.020
0.830
1.550
2.000
2.500
2.900
-2.700
-2.950
-2.900
-2.400
-1.970
-1.200
-0.600
0.240
0.900
1.500
2.000
2.550
2.950
1.190
1.400
1.620
1.730
1.760
1.790
1.780
1.740
1.700
1.640
1.570
1.470
1.370
1.200
1.440
1.640
1.730
1.770
1.800
1.780
1.750
1.740
1.650
1.600
1.500
1.350
1.190
1.450
1.640
1.750
1.780
1.800
1.780
1.750
1,730
1.650
1.600
1.480
1.360
91
90
90
90
89
89
89
88
88
88
87
86
85
88
88
89
90
90
91
91
92
92
92
93
93
93
95
95
94
94
94
93
93
93
92
92
91
91
90
-30.0
-26.2
-21.6
-15.6
-9.6
-4.0
1.5
6.9
12.4
16.4
21.5
25.9
30.0
-29.6
-24.5
-20.5
-15.6
-7.5
-4.0
-0.9
4.4
1t.5
15.8
20.0
25.0
30.0
-30.0
-23.9
-20.5
-15.0
-10.1
-3.6
0.9
6.8
11.8
15.4
20.0
25.7
30.0
30.0
26.2
21.6
15.6
9.6
4.0
1.5
6.9
12.4
16.4
21.5
25.9
30.0
29.6
24.5
20.5
15.6
7.5
4.0
0.9
4.4
11.5
15.8
20.1
25.0
30.0
30.0
23.9
20.5
15.0
10.1
3.6
0.9
6.8
11.8
15.4
20.1
25.7
30.0
1.6227
1.6468
1.6907
1.6639
1.6404
1.6668
1.6646
1.6460
1.6545
1.6482
1.6588
1.6420
1.6103
1.6142
1.5924
1.6748
1.6639
1.6487
1.6761
1.6597
1.6449
1.6802
1.6500
1.6594
1.6574
1.5868
1.1445
1.5844
1.6748
1.6712
1.6597
1.6764
1.6629
1.6549
1.6757
1.6440
1.6594
1.6501
1.5986
87.29
87.86
89.03
88.32
87.61
88.31
88.25
87.68
87.90
87.74
87.94
87.41
86.49
86.83
86.24
88.52
88.32
87.91
88.72
88.28
87.97
88.91
88.11
88.44
88.38
86.48
73.58
86.57
88.93
88.83
88.52
88.89
88.53
88.32
88.79
87.95
88.28
88.03
86.56
75.60
78.82
82.78
85.06
86.37
88.09
88.23
87.04
85.84
84.18
81.83
78.64
74.89
75.47
78.45
82.91
85,06
87.16
88.51
88.27
87.71
87.14
84.78
83.08
80.08
" 74.88
63.72
79.14
83.28
85.82
87.16
88.71
88.52
87.70
86.90
34.80
82.92
79.29
74.96
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Cl-211
Vax
29.88
24.90
20.88
15.39
9.07
3.88
1,08
6.05
11.91
15.84
20.53
25.55
30.01
i ;>,, i 82.57
<:>? fT-;'_ * 86.89
t , .'--'r-1 88.83
88.49
5 :'v, " 88.02
"- -: " 88,64
. - 88.36
" i :'". . 87.99
- ;>- , 88.53
. ' r- \ 87.93
* ~.\; 88.22
;_ "A" 87.94
t4 'f-. ". 86.51
71.60
78.80
82.99
85.31 i
86.90 |
88.44 j
88.34
87.48
86.63
84.59
82.61
79.34
74.91
TABC1118.WK4
04/02/99
-------
Table C1-119, Spherical SPH-3 Pre-test Computations - 90 fps
Probe: Spherical SPH-3 / Pre-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
07/21/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
P'iff'h Vis\&i ปซ~~~ is-.. _ f"5a5!
i fUjll 1 dW *-" - V3CKJ
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.85
0.00
29.85
28.84
28.73
NA
0
83.03
0.3
16.9
16.9
9.54
ซ ANGLES ป
Pitch Resultant
Probe ID: SPH-3
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.54%
Avg Temp: 88 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
| o]
\/Alm*ffifitc ff/cesf*
Pt-Ps Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-0.5
-0.2
0.0
0.0
0.0
0.0
0.0
0.0
0.2
0.7
0.8
0.9
0.9
-0.7
-0.2
0.0
-0.1
-0.1
-0.1
-0.1
0.0
0.0
-0.6
-0.7
-0.9
-1.0
-0.3
-0.3
-0.1
-0.1
-0.2
0.0
0.0
0.1
0.1
0.6
0.8
0.9
-1.0
-2.800
-3.000
-3.000
-2.450
-1.900
-1.240
-0.500
0.250
1.000
1.610
2.150
2.550
2.950
-2.650
-3.000
-2.900
-2.450
-1.650
-1.240
-0,850
-0.020
0.830
1.550
2.000
2.500
2.900
-2.700
-2.950
-2.900
-2.400
-1.970
-1.200
-0.600
0.240
0.900
1.500
2.000
2.550
2.950
1.190
1.400
1.620
1.730
1.760
1.790
1.780
1.740
1.700
1.640
1.570
1.470
1.370
1.200
1.440
1.640
1.730
1.770
1.800
1.780
1.750
1.740
1.650
1.600
1.500
1.350
1.190
1.450
1.640
1.750
1.780
1.800
1.780
1.750
1.730
1.650
1.600
1.480
1.360
91
90
90
90
89
89
89
88
88
88
87
86
85
88
88
89
90
90
91
91
92
92
92
93
93
93
95
95
94
94
94
93
93
93
92
92
91
91
90
-30.0
-30.0
-23.1
-16.1
-10.4
-5.8
0.7
6.4
11.6
16.0
20.8
25.2
29.1
-30.0
-29.0
-21.7
-16.1
-8.6
-5.8
-2.5
4.5
10.4
15.5
19.4
24.4
29.0'
-30.0
-27.3
-21.7
-15.4
-10.9
-5.5
-0.1
6.3
10.9
15.1 -
19.4
25.1
29.2
30.0
30.0
23.1
16.1
10.4
5.8
0.7
6.4
11.6
16.0
20.8
25.2
29.1
30.0
29.0
21.7
16.1
8.6
5.8
2.5
4.5
10.4
15.5
19.4
24.5
29.0
30.0
27.3
21.7
15.4
10.9
5.5
0.1
6.3
10.9
15.1
19.4
25.1
29.2
1.5996
1.8818
1.7493
1.6621
1.6397
1.6510
1.6465
1.6446
1.6503
1.6326
1.6280
1.6230
1.6178
1.6130
1.8710
1.7164
1.6621
1.6416
1.6601
1.6408
1.6392
1.6784
1.6362
1.6317
1.6374
1.5929
1.1433
1.7781
1.7164
1.6674
1.6614
1.6592
1.6425
1.6534
1.6729
1.6317
1.6317
1.6309
1.6099
86.67
93.92
90.55
88.27
87.59
87.89
87.77
87.64
87.80
87.32
87.12
86.91
86.69
86.80
93.48
89.62
88.27
87.72
88.29
87.78
87,82
88.86
87.74
87.69
87.85
86.65
73.54
91.71
90.02
88.73
88.57
88.43
87.99
88.28
88.72
87.62
87.54
87.51
86.87
75.06
81.34
83.29
84.81
86.15
87.44
87.77
87,09
85.99
83.94
81.42
78.62
75.75
75.16
81.78
83.25
84.81
86.74
87.84
87.69
87.55
87.39
84.56
82.73
79.96
75.75
63.69
81.49
83.62
85.55
86.98
88.02
87.99
87.73
87.11
84.59
82.58
79.24
75.80
Average
Res
-30
-25
-20
-15
-10
-5
0
5
30.00
28.76
22.19
15.85
9.97
5.73
1.11
5.75
10 ': 11.00
15
20
25
30
15.53
19.86
24.93
29.13
Vdir
' 7T' : 82.34
!-:,'ซ.. , 9304
' :--"~" ' 90.06
. -; ' 88.42
? '" _ "*' " ' 87.96
: " "T ' . 88.21
87.85
, ~ , ',-. 87.91
' ' ,"-"' ' 88.46
87.56
: T/, ' 87.45
,"-" '' 87.42
i. _' 86.74
Vax
71.30 I
81.54 I
83.39 i
85.06 |
86.62
87.77
87.82 I
87.46
86.83
84.36
82.24
79.28
75.77
n n*">^ -t * A t
Cl-212-
04/02/99
-------
Table C1-120. Spherical SPH-3 Post-test Computations - 90 fps
Probe: Spherical SPH-3 / Post-Test 30-60 Calibration
Velocity Point: 90 fps Gal Date:
11/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wl. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pif/"*H Y*iw J.H f^n**
i HUM i ctw __ \jcto
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.85
0.00
29.85
28.84
28.73
NA
0
84,96
0.3
17.0
17.0
9.50
Pitch
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-3
1.00
0.00
20.9
1
4.54%
88
61
_F
Volumetric Air Flow Rate,
SCFM Wet:
c
Resultant Pt-Ps
0
velocity
Flow Dir
]
;S, TT/S8C
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-0.5
-0.2
0.0
0.0
0.0
0.0
0.0
0.0
0.2
0.7
0.8
0.9
0.9
-0.7
-0.2
0.0
-0.1
-0.1
-0.1
-0.1
0.0
0.0
-0.6
-0.7
-0.9
'-1.0
-0.3
-0.3
-0.1
-0.1
-0.2
0.0
0.0
0.1
0.1
0.6
0.8
0.9
-1.0
-2.800
-3.000
-3.000
-2.450
-1.900
-1.240
-0.500
0.250
1.000
1.610
2.150
2.550
2.950
-2.650
-3.000
-2.900
-2.450
-1.650
-1.240
-0.850
-0.020
0.830
1.550
2.000
2.500
2.900
-2.700
-2.950
-2.900
-2.400
-1.970
-1.200
-0.600
0.240
0.900
1.500
2.000
2.550
2.950
1.190
1.400
1.620
1.730
1.760
1.790
1.780
1.740
1.700
1.640
1.570
1.470
1.370
1.200
1.440
1.640
1.730
1.770
1.800
1.780
1.750
1.740
1.650
1.600
1.500
1.350
1.190
1.450
1.640
1.750
1.780
1.800
1.780
1.750
1.730
1.650
1.600
1.480
1.360
91
90
90
90
89
89
89
88
88
88
87
86
85
88
88
89
90
90
91
91
92
92
92
93
93
93
95
95
94
94
94
93
93
93
92
92
91
91
90
-30.0
-27.9
-22.0
-14.0
-9.7
-4.4
0.8
8.1
14.4
17.9
21.7
26.2
30.0
-29.4
-26.5
-20.5
-14.0
-7.6
-4.3
-1.8
5.4
12.9
17.5
20.1
25.5
30.0
-30.0
-25.4
-20.5
-13.4
-10.1
-4.1
-0.1
8.0
13.5
17.3
20.1
26.1
30.0
30.0
27.9
22.0
14.0
9.7
4.4
0.8
8.1
14.4
17.9
21.7
26.3
30.0
29.4
26.5
20.5
14.0
7.6
4.3
1.8
5.4
12.9
17.5
20.1
25.5
30.0
30.0
25.4
20.5
13.4
10.1
4.1
0.1
8.0
13.5
17.3
20.1
26.1
30.0
1.6838
1.8422
1.7892
1.7396
1.7301
1.7575.
1.7566
1.7444
1.7427
1.7292
1.7215
1.7116
1.6984
1.6633
1.8030
1.7479
1.7396
1.7387
1.7673
1.7507
1.7464
1.7725
1.7344
1.7211
1.7251
1.6736
1.1966
1.7396
1.7479
1.7541
1.7507
1.7677
1.7527
1.7541
1.7667
1.7306
1.7211
1.7196
1.6860
88.92
. 92.93
91.58
90.30
89.97
90,68
90.66
90.26
90.22
89.87
89.59
89.25
88.82
88.14
.91.77
90.43
90.30
90.28
91.10
90.67
90.64
91.32
90.33
90.07
90.17
88.81
75.23
90.71
90.85
91.01
90.92
91.28
90.89
90.93
91.17
90.23
89.90
89.86
88.90
77.01
82.14
84.91
87.62
88.69
90.42
90.65
89.37
87.39
85.53
83.23
80.04
76.91
76.79
82.11
84.72
87.62
89.48
90.84
90.63
90.24
89.00
86.14
84.57
81.36
76.90
65.15
81.94
85.10
88.51
89.52
91.05
90.89
90.05
88.65
86.16
84.42
80.68
76.98
Average
Res
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
29.80
26.61
20.99
13.82
9.14
4.25
0.90
7.14
13.61
17.55
20.65
25.97
30.01
Vdir
,"-",?-.'-'< 84.10
:-:'. t 91.80
'""-'. 90.95
; ' : * 90.54
"'" 90.39
' 91.02
.- ,"' ' 90.74
r- -*-.; - 90.61
;f ." f~: 7" " 90.90
; 90.14
\ -ฃ''..' i 89.85
'*"-.- ' 89.76
i A ' 88.84
Vax
72M
82.06
84.91
87.91
89.23
90.77
90.72
89.89
88.35
85.95
84.07
80.70
76.93 \
TABC112Q.WK4
Cl-213
04/02/99
-------
This Page Intentionally Left Blank
Cl-214 .
-------
ATTACHMENT M.
Spherical Probe SPH-4 Calibration Data
Cl-215
-------
Figure C1-71. Spherical Probe 4 - Avg. (30-60 fps) F1 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-25 -20 -15 -10
-5
10 15 20 25
Pitch Angle (degrees)
04/12/97 ^6/26/97 ^8/06/97 e 10/28/97
[Note: Each poinTislhe mean of three replicatesT)
30
SPHCMPR.WK4
-------
1.2
1.1
CM
U_
0.9
Figure C1-72. Spherical Probe 4 - Avg. (30-60 fps) F2 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-30 -25 -20 -15 -10 -5 ' 0
10 15 20 25 30
Pitch Angle (degrees)
04/12/97 ^ 6/26/97 * 8/06/97 e 10/28/97
Note: Each point is the mean of three replieatesTj
SPHCMPR.WK4
-------
O
Figure Cl-73. Spherical Probe 4: Percent Difference in F2 (Avg730-60^s)|
NCSU Pre- (6/26/97) and Post-Test (11/28/97) Wind Tunnel Calibrations j
o
CM
LL.
C -1
8
S -2
Q
-4
-5
-Q
\
\
-30 -25
-20 -15 -10 -5 0 5 10 15 20
Pitch Angle (degrees)
[Note: Each point represents the mean of three replicates^
25
30
SPHCMPR.WK4
04/02/99
-------
Table C1-121. Spherical Probe SPH-4 Calibrations at NC State Wind Tunnel
June and October 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
27.95
24.74
19.18
14.63
10.90
4,55
1.08
3.90
9.78
14.89
20.64
25,77
30.00
Directional
Velocity
(fps)
29.09
30.98
30.97
31.23
31.18
31.22
31.14
31.04
31.06
30.98
31.03
31.15
30.95
Axial
Velocity
(fps)
25.68
28.11
29.23
30.21
30.60
31.10
31.13
30.94
30.61
29.93
. 29.03
28.05
26.80
30 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)^
26.46
23.61
18.26
13.94
11.11
4.13
1.34
4.98
12.39
16.37
21.35
26.40
30.01
Directional
Velocity
(fps)
29.88
31.74
31.66
31.93
32.11
32.17
31.97
31.74
31.54
31.67 .
31.89
32.05
31.79
Axial
Velocity
(fps)
26.74
29.06
30.04
30.98
31.50
32.06
31.96
31.58
30.80
30.39
29.70
28.71
27.53
% Change
Resultant
Angle
-5.33
-4.60
-4.82
-4.68
1.85
-9.25
24.17
27.87
26.71
10.00
3.41
2.44
0.03
Directional
Velocity
2.71
2.44
2.23
2.24
2.99
3.04
2.67
2.27
1.53
2.26
2.78
2.89
2.71
Axial
Velocity
4.09
3.39
2.78
2.56
2.94
3.10
2.66
2.05
0.63
1.52
2.29
2.34
2.70
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
25.70
20.84
15.43
9.29
5.33
1.11
5.89
10.42
15.07
19.41
24.19
29.23
Directional
Velocity
(fps)
56.44
59.31
59.09
58.36
58.59
58.43
58.51
58.68
Axial
Velocity
(fps)
48.88
53.43
55.23
56.25
57.82
58.18
58.50
58.37
58.53 ! 57.56
58.78
58.75
58.54
56.76
55.41
53.40
58.40 50.96
60 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
29.25
24.55
20.05
14.62
9.81
4.77 ,
0.98
7.55
12.98 .
16.51
20.18
24.70
29.94
Directional
Velocity
(fps)
58.51
60.74
60.47
59.62
60.45
60.26
60.16
59.83
59.43
60.13
60.33
Axial
Velocity
(fps)
51.05
55.25
56.81
57.68
59.57
60.05
60.15
59.30
57.91
57.64
56.63
60.02 54.52
60,33
52.28
% Change
Resultant
Angle
-2.51
-4.47
-3.82
-5.25
5.53
-10.52
-11.42
28.21
24.55
Directional
Velocity
3.66
Axial
Velocity
4.44
2.43 3.40
2.33 j 2.86
2.16 I 2.55
3.19 I 3.03
3.13 ' 3.22
2.81
1.96
1.54
2.82
1.60
0.60
9.57 i 2.28 i 1.56
3.97
2.14
2.45
2,70
2.52
3.31
2.21
2.10
2.59
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
28.28
22.29
15.68
10.38
6.21
1.28
5.75
9.96
14.99
19.03
23.86
28.65
Directional
Velocity
(fps)
82.52
91.05
89.48
88.08
87.36
87.46
87.85
87.70
88.62
88.16
87.94
86.98
86.68
Axial
Velocity
(fps)
71.46
80.16
82.78
84.80
85.92
86.94
87.82
87.25
87.28
85.16
83.13
79.55
76.06
90 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
29.72 [ 85.90
26.58
21.45
14.70
10.77
5.85
0.92
93.11
91.68
89.81
90.11
Axial
Velocity
(fps)
74.61
83.26
85.31
86.87
88.51
90.18 89.70
90.35
7,29 89.45
12.57
16.44
19.83
24.39
29.46
89.98
90.18
90.27
89.17
89.59
90.34
88.72
87.82
86.48
84.92
81.21
78.00
% Change
Resultant
Angle
-0,93
-6.03
-3.79
-6.26
3.73
-5.83
-28.20
26.84
26.16
9.70
4.24
2.20
2.83
Directional
Velocity
4.10
2.27
2.45
1.96
3.14
3.11
2.85
2.00
1.53
2.28
2.65
Axial
Velocity
4.40
3.87
3.06
2.43
3.02
3.18
2.86
1.68
0.61
1.56
2.14
2.51 I 2.09
3.35 2.55
TABC1121.WK4
Cl-219
04/08/99
-------
i -K
i>
H
o
NJ
W,
O
S 4
o<
S
JP 7
'o J
$3 sj
1
.S
S) ,
u
^?
o^
0
Figure Cl-74. Spherical Probe SPH-4 Pre- and Post-Test Calibrations
NC State Wind Tunnel - June and October 1997
-30 -25 -20 -15
-10 -505
Pitch Angle (degrees)
10
15
20
25
30
so fps
60 fps
90 fps
TABC1121.WK4
04/08/99
-------
Table C-122. Spherical Probe SPH-4 Calibrations at NC State Wind Tunnel
June and July 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
27.95
24,74
19.18
14.63
10.90
4.55
1.08
3.90
9.78
14.89
20.64
25.77
30.00
Directional
Velocity
(fps)
29.09
30.98
30.97
31.23
31.18
31.22
31.14
31.04
31.06
30.98
31.03
31.15
30.95
Axial
Velocity
(fps)
25.68
28.11
29.23
30.21
30.60
31.10
31.13
30.94
30.61
29.93
29.03
28.05
26.80
30 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
27.27
24.11
18.55
13.82
10.48
4.18
1.62
4.45
11.04
Directional
Velocity
(fps)
Axial
Velocity
(fps)
29.20 | 25.93
31.00 | 28.27
30.85 I 29.23
31.08
31.09
31.16
31.08
30.88
30.83
15.44 | 30.83
21.38
26.63
30.01
30.96
31.32
30.96
30.17
30.56
31.04
31.06
30.77
30.26
29.71
28.83
28.00
26.81
% Change
Resultant
Angle
-2.42
-2.55
-3.28
-5.51
-3.88
-8.07
49.81
14.27
12.95
Directional
Velocity
0.37
0.06
-0.38
-0.48
-0.29
-0.20
-0.20
-0.50
-0.75
3.72 i -0.48
3.58 I -0.21
3.34 0.55
0.03
0.03
Axial
Velocity
0.96
0.58
-0.02
-0.12
-0.14
-0.18
-0.22
-0.57
-1.15
-0.74
-0.71
-0.19
0.02
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
25.70
20.84
15.43
9.29
5.33
1.11
5.89
10.42
15.07
19.41
24.19
29.23
Directional
Velocity
(fps)
56.44
59.31
59.09
Axial
Velocity
(fps)
48.88
53.43
55.23
58.36 I 56.25
58.59 57.82
58.43 ! 58.18
58.51
58.68
58.53
58.78
58.50
58.37
57.56
56.76
58.75 I 55.41
58.54 I 53.40
58.40 50.96
60 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
29.89
24.97
20.44
14.60
9.04
5.30
1.03
6.31
11.69
15.61
20.14
24.85
Directional
Velocity
(fps)
57.06
Axial
Velocity
(fps)
49.47
59.31 . I 53.76
58.88 | 55.17
58.08 I 56.19
58.48
58.27
57.75
58.02
58.46 i 58.45
58.23 I 57.87
58.06
58.50
58.49
58.59
30.00 | 58.79
56.85
56.34
54.91
. 53.17
50.91
% Change
Resultant
Angle
-0.39
-2.86
-1.93
-5.38
-2.73
-0.61
-6.59
7.22
12.11
3.60
3.78
2.77
2.65
Directional
Velocity
1.09
0.00
-0.36
Axial
Velocity
1.22
0.61
-0.10
-0.49 | -0.10
-0.18
-0.27
-0.09
-0.11
-0.26
-0.08
-0.77 : -0.85
-0.81
-0.47
-0.44
0.09
0.67
-1.23
-0.73
-0.90
-0.44
-0.10
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / June / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
28.28
22.29
15.68
10.38
6.21
1.28
5.75
9.96
14.99
Directional
Velocity
(fps)
82.52
91.05
89.48
88.08
87.36
87.46
87.85 j
87.70
88.62
88.16
Axial
Velocity
(fps)
71.46
80.16
82.78
84.80
85.92
86.94
87.82
87.25
87.28
85.16
19.03 87.94 ! 83.13
23.86
86.98
79.55
28.65 86.68 76.06
90 fps / July / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
27.41
21.82
14.73
10.02
6.14
0.54
6.13
11.24
15.52
19.74
24.52
29.69
Directional
Velocity
(fps)
83.56
91.39
89.33
Axial
Velocity
(fps)
72.36
81.11
82.91
87.59 84.71
87.12
87.24
87.79
85.79
86.73
87.79
87.02 | 86.52
87.94 | 86.25
87.75 I 84.54
87.51
87.00
87.45
82.36
79.15
75.96
% Change
Resultant
Angle
0.00
-3.07
-2.12
-6,04
-3.55
-1.11
-57.55
6.57
12.83
3.58
3.77
2.77
3.64
r
Directional Axial
Velocity I Velocity
1.26
1.26
0.38 I 1.18
-0.18 I 0.16
-0.57
-0.28
-0:25
-0.07
-0.77
-0.77
-0.47
-0.49
0.02
0.88
-0.12
-0.16
-0.24
-0.04
| -0.84
-1.19
!_ -ฐJ2
-0.93
-0.50
-0.13
TABC1122.WK4
Cl-221
04/08/99
-------
o
o
CO
O
P-,
2
3
.S
-------
Table C1-123. Spherical SPH-4 Pre-test Computations - 30 fps
Probe: Spherical SPH-4 / Pro-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
06/26/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wl. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity,, ft/see:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.71
0.00
29.71
28.84
28.73
NA
0
29.34
0.5
16.0
16.0
9.48
Probe ID: SPH-4
Pilot Cp: 1.00
CO2, %d: 0.00
02, %d: 20.9
Water, %: 1
% Satur.: 3.76%
Avg Temp: 82 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
Readings, in.H2O
Pifrh
i Hwl I
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
i aw
Angle
-0.6
-0.5
-0.4
-0.4
-0.5
-0.4
-0.5
-1.1
-1.3
-0.9
-0.6
-0.6
-0.8
0.2
0.1
0.0
0.6
0.6
0.6
-0.1
1.4
0.7
1.0
-0.1
0.8
0.8
0.0
-0.1
-0.2
-0.2
-0.1
0.0
0.1
0.2
0.2
-0.3
-0.3
0.2
0.3
P4-P5
-0.330
-0.340
-0.300
-0.260
-0.220
-0.140
-0.060
-0.040
0.138
0.186
0.300
0.360
0.400
-0.350
-0.360
-0.350
-0.300
-0.270
-0.160
-0.035
0.000
0.100
0.200
0.280
0.350
0.400
-0.330
-0.340
-0.300
-0.270
-0.200
-0.080
-0.030
0.060
0.120
0.210
0.290
0.350
0.400
P1-P2
0.175
0.195
0.210
0.225
0.230
0.234
0.231
0.225
0.213
0.205
0.200
0.189
0.178
0.166
0.180
0.210
0.225
0.235
0.239
0.230
0.229
0.215
0.214
0.200
0.190
0.170
0.164
0.194
0.208
0.223
0.228
0.230
0.226
0.215
0.208
0.200
0.198
0.185
0.170
/-*_
Temp, F
82
82
82
82
82
82
82
82
82
82
81
81
81
92
92
91
91
90
90
90
90
90
89
89
89
89
81
81
81
81
81
82
82
82
82
82
82
83
83
Average
ซ Ah.
mi CQ ^i
^"-* f^l'll_'L.i_W *~
Pitch Resultant
-25.5
-23.0
-17.8
-13.4
-10.3
-5.5
-0.4
0.8
10.7
14.2
21.2
26.1
30.0
-30.0
-28.1
-21.7
-16.2
-13.3
-6.4
1.1
3.3
8.7
14.5
20.0 '
25.3
30.0
-28.3
-23.2
-18.0
-14.2
-9.2
-1.8
1.4
6.7
9.8
15.9
20.8
25.9
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
25.5
23.0
17.8
13.4
10.3
5.5
0.7
1.3
10.8
14.2
21.2
26.1
30.0
30.0
28.1
21.7
16.2
13.3
6.4
1.1
3.6
8.7
14.6
20.0
25.4
30.0
28.3
23.2
18.0
14.3
9.2
1.8
1.4
6.7
9.8
15.9
20.8
25.9
30.0
Res
" 27J5"
24.74
19.18
14.63
10.90
4.55
1.08
3.90
9.78
14.89
20.64
25.77
30.00
0
Pt-Ps
.1920
0.2036
0
0
0
0
0
0
.2022
.2073
.2060
.2078
.2083
.2043
0.2092
0.2039
0
.2087
0.2104
0.2118
0
.2030
0.2103
0.2140
0
.2131
0.2163
0.2126
0
.2093
0.2114
0.2080
0.2131
0.2057
0.2088
0.2024
0.1511
0.2031
0.2008
0.2070
0.2036
0.2065
0.2060
0.2040
0.2035
0.2006
0.2056
0.2054
0.2024
? "*
r
' -
i ~
v
<
f
E,
1
2jj& , ^
1T** "|
JT-j.^^ *
_T ' ' *
y1
3
_ - '"'
"-' * "
T-i
*&v
\/ia,If)r'jf ja
VtsIUSjILIC
Flow Dir
29.85
30.74
30.64
31.02
30.92
31.06
31.10
30.79
31.16
30.76
31.10
31.22
31.32
30.98
31.53
31.78
31.71
31.92
31.64
31.40
31.55
31.30
31.65
31.09
31.33
30.85
28.45
30.68
30.50
30.97
30.71
30.96
30.92
30.77
30.73
30.52
30.89
30.90
30.68
Vdir
29.09
30.98
30.97
31.23
31.18
31.22
31.14
31.04
31.06
30.98
31.03
31.15
30.95
-------
Table C1-124. Spherical SPH-4 Intermediate Computations - 30 fps
Probe: Spherical SPH-4 / Intermediate 30-60 Calibration
Velocity Point: 30 fps Gal Date: 07/22/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, lb/lb-mo!e:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard Deviation:
29.71
0.00
29.71
28.84
28.73
NA
0
29.28
0.5
16.0
16.1
9.35
Probe ID: SPH-4
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.76%
Avg Temp: 82 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I
0
Readings, in.H2O
Pitrh
I IIW 1
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
1 dw
Angle
-0.6
-0.5
-0.4
-0.4
-0.5
-0.4
-0.5
-1.1
-1.3
-0.9
-0.6
-0.6
-0.8
0.2
0.1
0.0
0.6
0.6
0.6
-0.1
1.4
0,7
1,0
-0.1
0.8
0.8
0.0
-0.1
-0.2
-0.2
-0.1
0.0
0.1
0.2
0.2
-0.3
-0.3
0.2
0.3
P4-P5
-0.330
-0.340
-0.300
-0.260
-0.220
-0.140
-0.060
-0.040
0.138
0.186
0.300
0.360
0.400
-0,350
-0.360
-0.350
-0.300
-0.270
-0.160
-0.035
0.000
0.100
0.200
0.280
0.350
0.400
-0.330
-0.340
-0.300
-0.270
-0.200
-0.080
-0.030
0.060
0.120
0.210
0.290
0.350
0.400
P1-P2
0.175
0.195
0.210
0.225
0.230
0.234
0.231
0.225
0.213
0.205
0.200
0.189
0.178
0.166
0.180
0.210
0.225
0.235
0.239
0.230
0.229
0.215
0.214
0.200
0.190
0.170
0.164
0.194
0.208
0,223
0.228
0.230
0.226
0.215
0.208
0.200
0.198
0.185
0.170
Gas
Temp, F
82
82
82
82
82
82
82
82
82
82
81
81
81
92
92
91
91
90
90
90
90
90
89
89
89
89
81
81
81
81
81
82
82
82
82
82
82
83
83
Average
ซ ^y\
Pitch
-24.8
-22.5
-17.1
-12.7
-9.9
-5.4
0.6
1.6
11.9
14.7
21.9
27.0
30.0
-29.6
-27.2
-21.3
-15.3
-12.6
-6.3
1.9
3.8
9.9
15.0
20.7
26.1
30.0
-27.5
-22.6
-17.3
-13.5
-8.9
-0.8
2.1
7.4
11.2
16.5
21.5
26.8
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
'f^l F^ ป
Resultant
24.8
22.5
17.1
12.7
9.9
5.5
0.8
1.9
12.0
14.8
21.9
27.0
30.0
29.6
27.2
21.3
15.3
12.6
6.4
1.9
4.0
10.0
15.1
20.7
26.1
30.0
27.5
22.6
17.3
13.5
8.9
0.8
2.1
7.4
11.2
16.5
21.5
26.8
30.0
Res
27.27
24.11
18.55
13.82
10.48
4.18
1.62
4.45
11.04
15.44
21.38
26.63
30.01
0
0
0
Pt-Ps
1915
2033
2004
0.2056
0
0
0
2050
2067
2081
0.2035
0
0
2060
2018
0.2080
0.2130
0
2120
0.2091
0.2117
0.2130
0.2105
0.2145
0.2115
0.2083
0.2089
0.2052
0.2111
0.2046
0.2107
0.2025
0.1498
0.2029
0.1990
0.2052
0.2028
0.2061
0.2049
0.2011
0.2002
0.1988
0.2047
0.2078
0.2025
x -
?ป -_
, V
v<-
v~
{ฃ
i
$ > ,
u~
i"~
; '{,
*
w * ~
sliv,!'" '"
jxair i
.. , ,
L ,
^ _ - |
f '- 1
""-", . ;
t ... '
1 '
,vrr i
K !
'-.
Vslociti
Flow Dir
29.81
30.71
30.49
30.89
30.84
30,98
31.08
30.73
30.92
30.61
31.04
31.41
31.34
31.44
31.63
31.70
31.52
31.79
31.56
31.32
31.37
31.09
31.50
31.01
31.47
30.85
26.35
30.66
30.36
30.83
30,65
30.93
30.83
30.55
30.48
30.37
30.83
31.08
30.68
Vdir
29.20
31.00
30.85
31.08
31.09
31.16
31.08
30.88
30.83
30.83
30.96
31.32
30.96
>g ft/SQG
Axial
27.07
28.37
29.15
30.13
30.38
30.84
31.08
30.72
30.24
29.59
28.80
27.99
27.14
27.34
28.14
29.54
30.40
31.02
31.37
31.30
31.29
30,62
30.42
29.00
28.26
26.72
23.38
28.29
28.99
29.98
30.28
30.93
30.81
30.29
29.90
29.13
28.68
27.75
26.57
Vax
25.93
28.27
29.23
30.17
30.56
31.04
31.06
30.77
30,26
29.71
28.83
28.00
26.81
TABC1124.WK4
C1-224
04/08/99
-------
Table C1-125. Spherical SPH-4 Post-test Computations - 30 fps
Probe: Spherical SPH-4 / Post-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
10/28/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.71
0.00
29.71
28.84
28.73
NA
0
30.08
0.5
16,1
16.2
9.11
Probe ID: SPH-4
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.76%
Avg Temp: 82 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I ol
Readings, in.H2O
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-0.6
-0.5
-0.4
-0.4
-0.5
-0.4
-0.5
-1.1
-1.3
-0.9
-0.6
-0.6
-0.8
0.2
0.1
0.0
0.6
0.6
0.6
-0.1
1.4
0.7
10
-0.1
0.8
0.8
0,0
-0.1
-0.2
-0.2
-0,1
0.0
0.1
0.2
0.2
-0.3
-0.3
0.2
0,3
P4-P5
-0.330
-0.340
-0.300
-0.260
-0.220
-0.140
-0.060
-0.040
0.138
0.186
0,300
0.360
0.400
-0.350
-0.360
-0.350
-0.300
-0.270
-0,160
-0.035
0.000
0.100
0.200
0.280
0.350
0.400
-0.330
-0,340
-0.300
-0.270
-0.200
-0.080
-0.030
0.060
0.120
0.210
0.290
0,350
0.400
P1-P2
0.175
0.195
0.210
0.225
0.230
0.234
0.231
0.225
0.213
0.205
0.200
0.189
0.178
0.166
0.180
0.210
0.225
0.235
0,239
0.230
0.229
0.215
0.214
0.200
0.190
0.170
0.164
0.194
0.208
0.223
0.228
0.230
0.226
0.215
0.208
0.200
0.198
0.185
0.170
Gas
Temp, F
82
82
82
82
82
82
82
82
82
82
81
81
81
92
92
91
91
90
90
90
90
90
89
89
89
89
81
81
81
81
81
82
82
82
82
82
82
83
83
Average
ซ ANGLES ป
Pitch
-24.4
-22.1
-16.8
-13.0
-10.7
-4.9
-0.1
1.2
13.2
15.8
21.9
26.7
30.0
-28.3
-26.4
-20.9
-15.1
-12.9
-6.1
1.6
4.0
11.4
16.1
20.7
25.9
30.0
-26.6
-22.3
-17.1
-13.7
-9.7
-1.4
1.9
9.1
12.5
17.2
21.5
26.6
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
24.4
22.1
16.8
13.0
10.7
. 4.9
0.5
1.6
13.3
15.8
21.9
26.7
30.0
28.3
26.4
20.9
15.1
13.0
6.1
1.6
4.3
11.4
16.1
20.7
25.9
30.0
26.6
22.3
17.1
13.7
9.7
1.4
1.9
9.1
12.5
17.2
21.5
26,6
30.0
Res
26.46
23.61
18.26
13.94
11.11
4.13
1.34
4.98
12.39
16.37
21.35
26.40
30.01
Pt-Ps
0.2015
0.2140
0.2109
0.2179
0.2196
0.2210
0.2200
0.2154
0.2160
0.2128
0.2203
0.2230
0.2235
0.2158
0.2199
0.2244
0.2210
0.2275
0.2260
0.2205
0.2217
0.2143
0.2227
0.2175
0.2206
0.2135
0.1588
0.2136
0.2096
0.2168
0.2167
0.2186
0.2169
0.2111
0.2095
0.2103
0.2171
0.2176
0.2135
i*
p
งM
feKv
1
til
f||
a?
i^"";
la
-ifeslfe^ii^s
livjlfsjlj
SSfeitl
s?--งS?j
UlilL
Velocities, ft/sec
Flow Dir
30.58
31.52
31.29
31.80
31.93
32.03
31.96
31.62
31.66
31.43
31.95
32.14
32.18
31.94
32.24
32.54
32.29
32.73
32.63
32.23
32.31
31.77
32.36
31.97
32.20
31.68
27.13
31.46
31.16
31.69
31.68
31.85
31.73
31.30
31.18
31.24
31.74
31,81
31.51
Vdir
29.88
31.74
31.66
31.93
32.11
32.17
31.97
31.74
31.54
31.67
31.89
32.05
31.79
Axial
27.85
29.19
29.95
30.98
31.37
31.91
31.96
31.60
30.81
30.23
29.65
28.71
27,87
28.11
28.88
30.40
31.17
31.90
32.44
32.21
32.22
31.15
31.09
29.91
28.96
27.43
24.25
29.11
29.79
30.80
31.23
31.84
31.71
30.91
30.44
29.84
29.54
28.45
27.29
Vax
26.74
29.06
30.04
30.98
31.50 !
32.06 |
31.96
31.58
30.80
30.39
29,70
28.71
27.53 _J
TABC1125.WK4
C1-225
04/08/99
-------
Table C1-126. Spherical SPH-4 Pro-test Compilations - 60 fps
Probe: Spherical SPH-4 / Pro-Test 30-60 Calibration
Velocity Point: 60 fps Cal Date:
06/26/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
Oiit-A* Vซ*.i
Rep Angle Angle P4-P5 P1-P2
1 -30 -0.4 -1.330 0.630
-25 0.1 -1.300 0.700
-20 0.2 -1.200 0.750
-15 -0.1 -1.050 0.760
-10 0.1 -0.750 0.830
-5 0.2 -0.460 0.830
0 0.5 -0.170 0.810
5 1.0 0.090 0.800
10 1.1 0.450 0.750
15 1.1 0.680 0.750
20 -0.5 1.000 0.740
25 0.7 1.210 0.700
30 0.4 1.350 0.630
2 -30 -0.2 -1.300 0.580
-25 -0,2 -1.300 0.670
-20 -0.3 -1.230 0.750
-15 -0.3 -1.000 0.780
-10 -0.3 -0.750 0.830
-5 -0.3 -0.500 0.820
0 -0.3 -0.300 0.820
5 0.5 0.170 0.780
10 0.6 0.450 0.750
15 0.6 0.730 0.740
20 0.6 0.930 0.720
25 -0.2 1.150 0.670
30 0.1 1.350 0.620
3 -30 -0.2 -1.320 0.610
-25 -0.4 -1.300 0.690
-20 -0.4 -1.200 0.750
-15 -0.3 -0.950 0.800
-10 -0.4 -0.700 0.820
-5 -0.3 -0.500 0.830
0 -0.4 -0.220 0.820
5 0.4 0.200 0.780
10 -0.8 0.500 0.750
15 -0.8 0.770 0.740
20 -0.8 1.000 0.710
25 0.4 1.200 0.670
30 0.4 1.380 0.620
f'ac
Temp, F
83
83
83
84
84
84
84
84
85
85
85
86
85
82
82
82
82
82
82
83
83
83
83
83
83
83
84
83
83
83
83
83
83
83
83
83
83
83
83
Average
29.71
0.00
29.71
28.84
28.73
NA
0
55.44
0.4
16.3
16.3
9.26
<^;>
Resultant
30.0
24.9
20.6
17.0
9.5
4.9
0.6
5.1
10.2
14.2
19.4
24.0
28.8
30.0
26.7
21.3
15.4
9.5
5.6
2.0
6.1
10.1
15.2
18.7
23.8
29.2
30.0
25.5
20.6
13.9
8.9
5.5
0.7
6.5
11.0
15.8
20.1
24.7
29.7
Res
30.00
25.70
20.84
15.43
9.29
5.33
1.11
5.89
10.42
15.07
19.41
24.19
29.23
Pt-Ps
0.7705
0.7566
0.7482
0.7258
0.7414
0.7371
0.7331
0.7462
0.7350
0.7458
0.7584
0.7555
0.7349
0.7093
0.7578
0.7580
0.7318
0.7414
0.7285
0.7355
0.7356
0.7350
0.7390
0.7348
0.7219
0.7281
0.5826
0.7562
0.7482
0.7402
0.7318
0.7373
0.7392
0.7385
0.7374
0.7418
0.7309
0.7297
0.7348
.- . " /.i*--""*
0
vGIOCItli
Flow Dir
59.85
59.31
58.98
58.15
58.77
58.60
58.44
58.96
58.57
59.00
59.49
59.43
58.56
57.38
59.31
59.31
58.28
58.66
58.15
58.48
58.48
58.46
58.62
58.45
57.94
58.18
52.09
59.30
58.98
58.67
58.33
58.55
58.63
58.60
58.55
58.73
58.30
58.25
58.45
Vdir
56.44
1 ii^-'-i 59.31
"-5*.
I -^JM- -
5', ?2.ฃ*,"
'. ' =|,|i*''
z.~"*$ .-
E K-ri??
' ' -Ir ' A"
-. _
, , -
1
59.09
58.36
58.59
58.43
58.51
58.68
58.53
58.78
58.75
58.54
58.40
ปC ft/Got^*
Axial
51.83
53.80
55.21
55.60
57.96
58.39
58.43
58.73
57.65
57.20
56.11
54.30
51.33
49.69
52.97
55.26
56.19
57.85
57.87
58.44
58.15
57.55
56.57
55.36
53.00
50.80
45.11
53.53
55.21
56.95
57.64
58.28
58.62
58.22
57.48
56.50
54.75
52.90
50.76
Vax
48.88
53.43
55.23
56.25
57.82
58.18 I
58.50 i
58.37
57.56 !
56.76
55.41
53.40
50.96 J
C1-226
TABC1126.WK4
04/08/99
-------
Table C-127. Spherical SPH-4 Intermediate Computations - 60 fps
Probe: Spherical SPH-4 / Intermediate 30-60 Calibration
Velocity Point: 60 fps Cal Date:
07/22/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/Ib-mole:
Molecular Wt. Wet, Ib/Ib-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.71
0.00
29.71
28.84
28.73
NA
0
55.30
0.4
16.4
16,5
9.27
Probe ID: SPH-4
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
%Satur.: 3.61%
AvgTemp: 81 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
Readings, in.H2O
DJfnK
r HUM
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
T dW
Angle
-0.4
0.1
0.2
-0.1
0.1
0.2
0.5
1.0
1.1
1.1
-0.5
0.7
0.4
-0.2
-0.2
-0.3
-0.3
-0.3
-0.3
-0.3
0.5
0.6
0.6
0.6
-0.2
0.1
-0.2
-0.4
-0.4
-0.3
-0.4
-0.3
-0.4
0.4
-0.8
-0.8
-0.8
0.4
0.4
P4-P5
-1.330
-1.300
-1.200
-1.050
-0.750
-0.460
-0.170
0.090
0.450
0.680
1.000
1.210
1.350
-1.300
-1.300
-1.230
-1.000
-0.750
-0.500
-0.300
0.170
0.450
0.730
0.930
1.150
1.350
-1.320
-1.300
-1.200
-0.950
-0.700
-0.500
-0.220
0.200
0.500
0.770
1.000
1.200
1.380
P1-P2
0.630
0.700
0.750
0.760
0.830
0.830
0.810
0.800
0.750
0.750
0.740
0.700
0.630
0.580
0.670
0.750
0.780
0.830
0.820
0.820
0.780
0.750
0.740
0.720
0.670
0.620
0.610
0.690
0.750
0.800
0.820
0.830
0.820
0.780
0.750
0.740
0.710
0.670
0.620
Temp, F
83
83
83
84
84
84
84
84
85
85
85
86
85
82
82
82
82
82
82
83
83
83
83
83
83
83
84
83
83
83
83
83
83
83
83
83
83
83
83
Average
Pitch
-29.7
-24.3
-20.2
-16.2
-9.2
-4.8
1.2
5.1
11.4
14.7
20.1
24.6
30.0
-30.0
-25.9
-20.9
-14.5
-9.2
-5.6
-1.1
6.6
11.4
15.7
19.4
24.5
30.0
-30.0
-24,7
-20.2
-13.1
-8.6
-5.5
0.5
7.1
12.1
16.3
20.8
25.4
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
29.7
24.3
20.2
16.2
9.2
4.8
1.3
5.2
11.5
14.8
20.2
24.6
30.0
30.0
25.9
20.9
14.5
9.2
5.6
1.1
6.6
11.4
15.7
19.4
24.5
30.0
30.0
24.7
20.2
13.1
8.6
5.5
0.6
7.1
12.2
16.4
20.8
25.4
30.0
Res
29.89
24.97
20.44
14.60
9.04
5.30
1.03
6.31
11.69
15.61
; 20.14
24.85
30.00
0.
0.
Pt-Ps
7949
7588
0.7424
0.
0.
0.
7182
7387
7331
0.7315
0.
7343
0.7229
0.7384
0.
7506
0.7559
0.7504
0.7389
0.7572
0.7533
0.7243
0.7387
0.7246
0.7340
0.7245
0.7229
0
0
0
0
0
0
7324
7266
7221
7385
5765
7547
0.7424
0.7340
0.7289
0.7333
0.7384
0.7276
0.7263
0.7349
0.7272
0.7332
0.7385
1:-J:
t'llf
JE-'f
S'f:7,
Safe);!*
W- "
ill
ปi
i.3
'K'"~,
8P-'
ii
T^^ilL^I
ISjp^l
iifyd
V01GCIII6
Flow Dir
60.80
59.40
58.75
57.84
58.66
58.44
58.37
58.48
58.08
58.70
59.19
59.45
59.18
58.56
59.28
59.13
57.98
58.55
57.99
58.42
58.04
57.98
58.36
58.13
57.94
58.60
51.82
59.24
58.75
58.42
58.22
58.39
58.60
58.17
58.11
58.46
58.15
58.39
58.60
Vdir
57.06
59.31
58.88
58.08
58.48
58.27
58.46
58.23
58.06
58.50
58.49
58.59
58.79
Axial
52.83
54.13
55.13
55.55
57.90
58.23
58.36
58.24
56.92
56.76
55.56
54.03
51.25
50.71
53.34
55.25
56.14
57.79
57.72
58.41
57.66
56.83
56.18
54.82
52.73
50.75
44.88
53.81
55.13
56.89
57.56
58.13
58.59
57.72
56.81
56.09
54.35
52.73
50.75
Vax
49.47
53.76
55.17
56.19
57.75
58.02
58.45
57.87
56.85 |
56.34 :
54.91 I
53.17
50.91 ;
C1-227
TABC1127.WK4
04/08/99
-------
Table C1-128. Spherical SPH-4 Post-test Computations - 60 fps
Probe: Spherical SPH-4 / Post-Test 30-60 Calibration
Velocity Point: 60 fps Cal Date:
10/28/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/see:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.71
0.00
29.71
28.84
28.73
NA
0
56.83
0.4
16.6
16.6
9.00
Probe ID: SPH-4
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
%Satur.: 3.61%
Avg Temp: 81 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
1
0
'
Readings, in.H2O
Pifrh
r Hull
Rep Anqte
1 -30
-25
-20
-15
-10-
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
v>
Angle
-0.4
0.1
0.2
-0,1
0.1
0.2
0.5
1.0
1.1
1.1
-0.5
0.7
0.4
-0.2
-0.2
-0.3
-0.3
-0.3
-0.3
-0.3
0.5
0.6
0.6
0.6
-0.2
0.1
-0.2
-0.4
-0.4
-0.3
-0.4
-0.3
-0.4
0.4
--0.8
-0.8
-0.8
0.4
0.4
P4-P5
-1.330
-1.300
-1.200
-1.050
-0.750
-0.460
-0.170
0.090
0.450
0.680
1.000
1.210
1.350
-1.300
-1.300
-1.230
-1.000
-0.750
-0.500
-0.300
0.170
0.450
0.730
0.930
1.150
1.350
-1.320
-1.300
-1.200
-0.950
-0.700
-0.500
-0.220
0.200
0.500
0.770
1.000
1.200
1.380
P1-P2
0.630
0.700
0.750
0.760
0.830
0.830
0.810
0.800
0.750
0.750
0.740
0.700
0.630
0.580
0.670
0.750
0.780
0.830
0.820
0.820
0.780
0.750
0.740
0.720
0.670
0.620
0.610
0.690
0.750
0.800
0.820
0.830
0.820
0.780
0.750
0.740
0.710
0.670
0.620
fias
WCiO
Temp, F
83
83
83
84
84
84
84
84
85
85
85
86
85
82
82
82
82
82
82
83
83
83
83
83
83
83
84
83
83
83
83
83
83
83
83
83
83
83
83
Average
_, j, AK
Pitch
-28.4
-24.0
-19.8
-16.0
-10.1
-4.3
0.7
6.0
12.7
15.8
20.1
24.5
29.8
-30.0
-25.3
-20.5
-14.5
-10.1
-5.1
-1.6
7.9
12.7
16.6
19.5
24.4
30.0
-29.3
-24.4
-19.8
-13.4
-9.3
-5.0
-0.2
8.6
13.4
17.1
20.8
25.2
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
!/"*] CO "s.^
Resultant
28.4
24.0
19.8
16.0
10.1
4.3
0.8
6.0
12.8
15.8
20.2
24.5
29.8
30.0
25.3
20.5
14.5
10.1
5.1
1.6
7.9
12.7
16.6
19.6
24.4
30.0
29.3
24.4
19.8
13.4
9.3
5.0
0.5
8.7
13.4
17.1
20.8
25.2
30.0
Res
29.25
24.55
20.05
14.62
9.81
4.77
0.98
7.55
12.98
16.51
20.18
24.70
29.94
0.
0.
Pt-Ps
8201
7985
0.7835
0.7549
0.7895
0.7847
0.7738
0.
7793
0.7571
0.7785
0.7995
0.7937
0.7886
0.7923
0.7895
0.7938
0.7622
0.7895
0.7743
0.7790
0.7637
0.7571
0.7737
0.7734
0
7586
0.7786
0.6059
0.7941
0
7835
0.7766
0
7789
0.7838
0
0
7809
7651
0.7617
0.7774
0
7729
0.7676
0.7786
l\ ~
ปsS
1/7
- f
*".
?~f*
Xi
'fe
1
* -" ^ซ' ', i
'."ฃ'- - ,
-.'"?"" "
w* .
*~xt? "
-,"!;'ป. s
i{FI' 1
f^;iV' .-
'*"'' ' -
-i *
. ' .. .
\ / | .!
VelOClUCQ, iUt>C*lr
Flow Dir Axial
61.75
60.93
60.36
59.30
60.65
60.46
60.04
60.25
59.44
60.27
61.08
60.92
60.66
60.64
60.53
60.70
59.48
60.53
59.95
60.18
59.59
59.33
59.98
59.97
59.39
60.17
53.13
60.77
60.36
60.09
60.18
60.37
60.26
59.65
59.51
60.12
59.95
59.74
60.17
Vdir
58.51
60.74
60.47
59.62
60.45
60.26
60.16
59.83
59.43
60.13
60.33
60.02
60.33
54.32
55.69
56.78
57.01
59.71
60.29
60.03
59.92
57.97
57.99
57.34
55.43
52.63
52.51
54.72
56.86
57.59
59.60
59.71
60.16
59.02
57.87
57.48
56.51
54.10
52.11
46.31
55.35
56.78
58.46
59.39
60.14
60.26
58.97
57.89
57.46
56.03
54.04
52.11
Vax
51.05
55.25
56.81
57.68
59.57
60.05
60.15
59.30
57.91
57.64
56.63
54.52
52.28
C1-228
TABC1128.WK4
04/08/99
-------
Table C1-129. Spherical SPH-4 Pre-test Computations - 90 fps
Probe: Spherical SPH-4 / Pre-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
06/26/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/soc:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pitf*h Y*iw -" UUL.^ fit**
r llSjIl 1 OW IIMUUL-^- . V3ao
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.71
0.00
29.71
28.84
28.73
NA
0
82.95
0.3
16.6
16.6
9.34
ซ ANGLES ป
Pitch Resultant
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-4
1.00
0.00
20.9
1
4.23%
86 F
61
Volumetric Air Flow Rate,
SCFM Wet:
Pt-Ps
0]
Wfii|ซ f-jfiac ft/cpf
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
~5
0
5
10
15
20
25
30
0.2
0.0
0.3
0.5
0.2
0.2
0.1
1.2
1.0
0.8
0.5
0.8
0.9
0.1
-0.3
-0.2
-0.3
-0.3
-0.2
-0.2
0.3
-0.8
0.5
-0.1
0.1
0.3
0.1
0.0
-0.3
-0.2
-0.2
-0.2
-0.1
0.3
0.5
0.4
-0.1
0.3
0.5
-2.900
-3.000
-2.850
-2.300
-1.800
-1.160
-0.500
0.300
1.000
1.630
2.070
2.550
2.930
-2.800
-3.030
-2.700
-2.250
-1.630
-1.340
-0.580
0.350
0.880
1.500
2.250
2.550
2.850
-2.950
-3.050
-2.900
-2.300
-1.800
-1.100
-0.650
0.300
1.100
1.700
2.050
2.600
3.000
1.280
1.550
1.650
1.770
1.810
1.840
1.830
1.750
1.700
1.670
1.600
1.500
1.400
1.300
1.500
1.670
1.750
1.800
1.830
1.820
1.730
1.730
1.650
1.630
1.500
1.360
1.300
1.470
1.650
1.750
1.820
1.830
1.830
1.750
1.700
1.650
1.600
1.480
1.360
95
95
95
94
94
93
93
92
92
91
90
90
89
80
81
82
83
83
83
84
84
85
86
86
87
87
85
86
87
87
88
88
89
89
89
90
90
90
91
-30.0
-26.6
-22.7
-15.7
-10.8
-5.9
-0.6
5.6
10.0
15.1
18.7
23.6
28.2
-30.0
-28.5
-20.9
-15.4
-9.5
-7.2
-1.3
5.9
9.1
14.2
19.7
23.6
28.2
-30.0
-29.7
-23.2
-15.9
-10.8
-5.5
-1.9
5.6
10.7
15.7
18.6
24.3
29.5
30.0
26.6
22.7
15.7
10.8
5.9
0.6
5.7
10.0
15.1
18.7
23.6
28.2
30.0
28.5
20.9
15.5
9.5
7.2
1.3
5.9
9.2
14.2
19.7
23.6
28.2
30.0
29.7
23.2
15.9
10.8
5.5
1.9
5.6
10.7
15:7
18.6
24.3
29.5
1.5654
1.7485
1.7141
1.6659
1.6302
1.6353
1.6493
1.6424
1.6647
1.6664
1.6331
1.6123
1.6175
1.5898
1.7714
1.6752
1.6430
1.6078
1.6294
1.6364
1.6288
1.6807
1.6410
1.6738
1.6123
1.5721
1.2235
1.7864
1.7303
1.6514
1.6380
1.6255
1.6423
1.6424
1.6698
1.6529
1.6316
1.6039
1.6057
86.25
91.16
90.26
88.90
87.94
88.00
88.37
88.11
88.71
88.67
87.70
87.14
87.20
85.74 .
90.59
88.17
87.40
86.46
87.04
87.31
87.11
88.56
87.59
88.46
86.90
85.81
75.56
91.39
90.02
87.95
87.67
87.34
87.87
87.87
88.60
88.23
87.66
86.91
87.04
74.70
81.50
83.24
85.59
86.37
87.53
88.37
87.67
87.36
85.62
83.05
79.83
76.84
74.25
79.61
82.37
84.25
85.27
86.35
87.29
86.64
87.43
84.92
83.26
79.62
75.60
65.44
79.36
82.72
84.58
86.13
86.94
87.82
87.45
87.05
84.94
83.09
79.20
75.76
Res
Vdir
Average
C1-229.
Vax
3000
28.28
22.29
15.68
10.38
6.21
1.28
5.75
9.96
14.99
19.03
23.86
28,65
71.46
80.16
82.78
84.80
85.92
86.94
87.82
87.25
87.28
85.16
83.13
79.55
76.06
TARC1129.WK4
04/08/99
-------
Table C1-130. Spherical SPH-4 intermediate Computations - 90 fps
Probe: Spherical SPH-4 / Intermediate 30-60 Calibration
Velocity Point: 90 fps Cal Date:
07/22/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wl. Wet, !b/Ib-moie:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
E-'ifr'h "Vauu _~___-ซ, -____ _*_-_.ซ. f^ac
niLปi i i dw -- - ~~- ซ *~.~- ซ \JQO
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.71
0.00
29.71
28.84
28.73
NA
0
82.78
0.3
16.7
16.7
9.43
ซ ANGLES ป
Pitch Resultant
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-4
1.00
0.00
20.9
1
4.23%
86 F
61
Volumetric Air Flow Rate,
SCFM Wet:
I
OJ
Velocities, ft/sec
Pt-Ps
Flow Dir
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
0.2
0.0
0.3
0.5
0.2
0.2
0.1
1.2
1.0
0.8
0.5
0.8
0.9
0.1
-0.3
-0.2
-0.3
-0.3
-0.2
-0.2
0.3
-0.8
0.5
-0.1
0.1
0.3
0.1
0.0
-0.3
-0.2
-0.2
-0.2
-0.1
0.3
0.5
0.4
-0.1
0.3
0.5
-2,900
-3.000
-2.850
-2.300
-1.800
-1.160
-0.500
0.300
1.000
1.630
2.070
2.550
2.930
-2.800
-3.030
-2.700
-2.250
-1.630
-1.340
-0.580
0.350
0.880
1.500
2.250
2.550
2.850
-2.950
-3.050
-2.900
-2.300
-1.800
-1.100
-0.650
0.300
1.100
1.700
2.050
2.600
3.000
1.280
1.550
1.650
1.770
1.810
1.840
1.830
1.750
1.700
1.670
1.600
1.500
1.400
1.300
1.500
1.670
1.750
1.800
1.830
1.820
1.730
1.730
1.650
1.630
1.500
1.360
1.300
1.470
1.650
1.750
1.820
1.830
1.830
1.750
1.700
1.650
1.600
1.480
1.360
95
95
95
94
94
93
93
92
92
91
90
90
89
80
81
82
83
83
83
84
84
85
86
86
87
87
85
86
87
87
88
88
89
89
89
90
90
90
91
-30.0
-25.8
-22.2
-14.7
-10.4
-5.8
0.4
5.9
11.3
15.6
19.4
24.3
29.5
-30.0
-27.6
-20.5
-14.5
-9.3
-7.1
-0.2
6.4
10.4
14.8
20.5
24.3
29.6
-30.0
-28.8
-22.7
-14.9
-10.3
-5.5
-0.9
5.9
11.9
16.2
19.3
25.0
30.0
30.0
25.8
22.2
14.7
10.4
5.8
0.5
6.1
11.3
15.6
19.5
24.3
29.5
30.0
27.6
20.5
14.5
9,3
7.1
0.3
6.4
10.5
14.8
20.5
24.3
29.6
30.0
28.8
22.7
14.9
10.3
5.5
0.9
5.9
11.9
16.2
19.3
25.0
30.0
1.6306
1.7460
1.7101
1.6471
1.6196
1.6268
1.6475
1.6170
1.6372
1.6517
1.6149
1.6124
1.6531
1.6561
1.7874
1.6632
1.6257
1.6021
1.6220
1.6346
1.6041
1.6568
1.6247
1.6616
1.6124
1.6069
1.2098
1.8137
1.7284
1.6316
1.6274
1.6168
1.6393
1.6170
1.6439
1.6376
1.6136
1.6055
1.6199
88.03
91.09
90.15
88.40
87.66
87.77
88.33
87.43
87.97
88.28
87.21
87.14
88.16
87.51 .
91.00
87.86
86.94
86.31
86.84 ,
87.26
86.44
87.93
87.16
88.14
86.90
86.76
75.14
92.09
89.98
87.42
87.39
87.10
87.79
87.19
87.91
87.82
87.18
86.95
87.42
76.24
82.04
83.44
85.49
86.21
87.31
88.32
86.94
86.26
85.04
82.23
79.42
76.71
. 75.78
80.62
82.30
84.16
85.18
86.18
87.26
85.91
86.47
84.27
82.56
79.21
75.47
65.07
80.66
82.99
84.47
85.97
86.71
87.78
86.72
86.01
84.32
82.28
78.83
75.71
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
C1-230.
Vax
! 30.00
27.41
21.82
14.73
i 10.02
6.14
0.54
6.13
11.24
15.52
19.74
24.52
29.69
fj-t-.-j^": 83.56
E~rr|ji7' - 91.39
is.,' ซ!/,ฃ' 89.33
" . -"*"- ' 87.59
< ',.ซ,> 87.12
'f, ; ''" " - 87.24
/'>", 87.79
'- ' 87.02
87.94
:- " - 87.75
: '" ',' 87.51
T. 87.00
JS ' ' 87.45
72.36
81.11
82.91
84.71
85.79
86.73
87.79
86.52
86.25 I
84.54
82.36
79.15 :
75.96 lj
04/08/99
-------
Table C1-131. Spherical SPH-4 Post-test Computations - 90 fps
Probe: Spherical SPH-4 / Post-Test 30-50 Calibration
Velocity Point: 90 fps Cal Date:
10/28/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole;
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H20
F*iff*h V*n*-f ' {"-ii*!*
r ilvl I I aV* x3oo
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.71
0,00
29.71
28.84
28.73
NA
0
85.06
0.3
16.9
16.9
9.05
ซttf AK
Pitch
Probe ID: SPH-4
PitotCp: 1.00
CO2, %d: 0.00
02, %d: 20.9
Water, %: 1
% Satur.: 4.23%
Avg Temp: 86 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
0
f*1 CQ ^.^ \ /o 1 /"*/* if ioc ff/eo/*
Resultant Pt-Ps FlowDir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
0.2
0.0
0.3
0.5
0.2
0.2
0.1
1.2
1.0
0.8
0.5
0.8
0.9
0.1
-0.3
-0.2
-0.3
-0.3
-0.2
-0.2
0.3
-0.8
0.5
-0.1
0.1
0.3
0.1
0.0
-0.3
-0.2
-0.2
-0.2
-0.1
0.3
0.5
0.4
-0.1
0.3
0.5
-2.900
-3.000
-2.850
-2.300
-1.800
-1.160
-0.500
0.300
1.000
1.630
2.070
2.550
2.930
-2.800
-3.030
-2.700
-2.250
-1.630
-1.340
-0.580
0.350
0.880
1.500
2.250
2.550
2.850
-2.950
-3.050
-2.900
-2.300
-1.800
-1.100
-0.650
0.300
1.100
1.700
2.050
2.600
3.000
1.280
1.550
1.650
1.770
1.810
1.840
1.830
1.750
1.700
1.670
1.600
1.500
1.400
1.300
1.500
1.670
1.750
1.800
1.830
1.820
1.730
1.730
1.650
1.630
1.500
1.360
1.300
1.470
1.650
1.750
1.820
1.830
1.830
1.750
1.700
1.650
1.600
1.480
1.360
95
95
95
94
94
93
93
92
92
91
90
90
89
80
81
82
83
83
83
84
84
85
86
86
87
87
85
86
87
87
88
88
89
89
89
90
90
90
91
-30.0
-25.2
-21.9
-14.7
-11.1
-5.4
-0.3
7.1
12.6
16.5
19,6
24.2
29.2
-29.2
-26.8
-20.1
-14.5
-10.1
-7.2
-0.9
7.6
11.8
15.8
20.5
24.2
29.2
-30.0
-27.7
-22.4
-14.9
-11.1
-4.9
-1.5
7.1
13.2
17.0
19.4
24.8
30.0
30.0
25.2
21.9
14.7
11.1
5.4
0.3
7.2
12.7
16.5
19.6
24.2
29.2
29.2
26.8
20.1
14.5
10.1
7.2
1.0
7.6
11.8
15.8
20.5
24.2
29.2
30.0
27.7
22.4
14.9
11.1
4.9
1.5
7.1
13.2
17.0
19.4
24.8
30.0
1.7484
1.8210
1.8009
1.7318
1.7330
1.7384
1.7425
1.7096
1.7142
1.7443
1.7190
1.6948
1.7313
1.7323
1.8538
1.7527
1.7106
1.7125
1.7331
1.7310
1.6926
1.7317
1.7130
1.7678
1.6948
1.6829
1.2719
1.8750
1.8199
1.7140
1.7419
1.7281
1.7389
1.7096
1.7235
1.7319
1.7172
1,6841
1.7080
91.16
93.03
92.51
90.64
90.67
90.73
90.84
89.89
90.02
90.72
89.98
89.34
90.22
89.50
92.67
90.19
89.18
89.23
89.77
89.80
88.80
89.90
89.49
90.91
89.10
88.78
77.05
93.63
92.33
89.60
90.41
90.05
90.41
89.65
90.01
90.31
89.93
89.06
89.77
78.94
84.15
85.85
87.67
88.96
90.32
90.84
89.19
87.83
86.99
84.78
81,50
78.77
78.15
82.75
84.69
86.33
87.85
89.07
89.78
88.01
87.99
86.10
85.17
81.29
77.50
66.72
82.87
85.38
86.60
88.73
89.72
90.39
88.97
87.63
86.36
84,80
80.83
77.74
Res
Vdir
Average
Cl-231
Vax
-30
-25
29.72
26.58
-20 ; 21.45
-15
-10
14.70
10.77
-5 I 5,85
0
5
10
15
20
25
30
0.92
7.29
12.57
16.44
19.83
24.39
29.46
- ..,-"' 85.90
K'-'A-A \ 93.11
-" 91.68
;j -^ 89.81
,- - > 90.11
' 90.18
- \-, ; 90.35
1 ." 89.45
. ;:'v\ ' 89.98
-. * . 90.18
; , ' 90.27
""" - 89.17
E ..:' 89.59
74STH
83.26
85.31
86.87
88.51
89.70
90.34
88.72 ;
87.82
86.48
84.92
81.21
78.00
TABC1131.WK4
04/08/99
-------
This Page Intentionally Left Blank
C1-232
-------
ATTACHMENT N.
Spherical Probe SPH-5 Calibration Data
Cl-233
-------
3 .-
0 u
-2
-3 I!
-30
Figure C1-76. Spherical Probe 5 - Avg. (30-60 fps) F1 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15
08/05/97 +11/07/97
[Note: Each poIntTs the mean of three replicatesTj
I L
20 25
30
SPHCMPR.WK4
-------
o
to
U)
Ui
1.25
0.95
Figure C1-77. Spherical Probe 5 - Avg. (30-60 fps) F2 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-5' 0 5 10
Pitch Angle (degrees)
8/05/97 + 11/07/97
15
L
20 25
30
1
[Note:^Each point is the mean of three replicates^
SPHCMPR.WK4
-------
O
i
t-o
U)
0%
Figure Cl-78. Spherical Probe 5: Percent Difference in F2 (Avg. 30-60 fps)
NCSU Pre- (8/5/97) and Post-Test (11/7/97) Wind Tunnel Calibrations
CM
U_
-------
Table C1-132. Spherical Probe SPH-5 Calibrations at NC State Wind Tunnel
August and November 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
29.55
24.95
20.24
16.89
10.63
5.46
2.72
2.70
9.69
14.49
19.63
23.84
29.37
Directional
Velocity
(fps)
29.42
31.24
31.21
31.62
31.22
31.35
31.16
31.07
31.06
31.05
31.14
31.08
31.05 '
Axial
Velocity
(fps)
25.60
28.29
29.28
30.23
30.58
31.17
31.12
30.98
30.61
30.06
29.32
28.43
27.06
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.90
25.44
Directional
Velocity
(fps)
30.69
32.44
20.10 I 32.30
17.58 33.01
11.73
6.16
2.70
3.50
11.57
15.35
20.37
24.12
30.00
32.80
32.87
32.68
32.57
32.59
32.58
32.25
32.20
31.77
Axial
Velocity
(fps)
26.61
29.25
30.34
31.45
31.99
32.62
32.65
32.43
31.93
31.42
30.23
29.38
27.51
% Change
Resultant
Angle
Directional
Velocity
1.19 | 4.32
1.93 i 3.84
-0.70 i 3.50
4.08 I 4.41
10.40 ! 5.08
12,74
-0.72
29.55
19.45
5.92
3.73
1.18
2.16
4.85
4.90
. 4.82
4.94
Axial
Velocity
3.95
3.39
3.59
4.06
4.61
4.66
4.91
4.67
4.30
4.93 _u_Jk5_2
3.58
3.58
2.33
3.10
3.36
1.69
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
28.75
25.24
19.63
13.45
9.35
4.35
1.37
5.48
10.55
15.52
20.66
26.02
29.81
Directional
Velocity
(fps)
55.61
58.34
58.21
57.92
58.33
58.22
58.20
58.54
58.52
58.65
58.36
58.45
Axial
Velocity
(fps)
48.75
52.77
54.83
56.32
57.56
58.04
58.18
58.22
57.53
56.51
54.60
52.51
58.14 | 50.45
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.82
25.75
19.59
14.90
10.80
4.79
1.38
6.42
12.36
16.30
21.39
26.59
30.00
Directional
Velocity
(fps)
58.24
60.53
60.34
60.85
61.07
61.16
61.01
61.29
61.46
61.45
60.39
60.44
Axial
Velocity
(fps)
50.52
54.52
56.85
58.80
59.99
60.93
60.99
60.82
60.04
58.98
56.23
54.03
59.33 51.38
% Change
Resultant
Angle
3.74
2.02
-0.21
10.73
15.55
10.20
0.39
17.19
Directional
Velocity
Axial
Velocity
4.73 3.63
3.75
3.66
5.06
4.70
5.05
4.84
4.70
17.08 5.03
5.00
3.50
4.78
3.48
2.17 3,42
0.63
2.04
3.31
3.69
4.40
4.22
4.98
4.84
4.47
4.36
4.38
2.98
2.89
1.85
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
29.23
26.35
Directional
Velocity
(fps)
84.05
89.05
21,14 ! 88.86
15.85
9.57
4.84
1,75
7.33
10.98
87.85
87.65
87.56
87.68
88.20
88.22
14.80 j 88.09
19.25 I 88.37
24.52 88.33
29.81
86.44
Axial
Velocity
(fps)
73.37
79.79
82.88
84.50
86,43
87.21
87.64
87.48
86.60
85.16
83.43
80.36
75.00
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
29,53 ! 87.56
27.04
21.09
16.87
11.03
5.40
1.91
8.75
12.66
15.56
20.09
92.62
91.94
92.11
Axial
Velocity
(fps)
76.21
82.49
85.78
88.14
91.80 ; 90.10
91.90
91.86
92.33
92.64
92.37
91.41
24.65 91.52
30.00 I 88.21
91.43
91.81
91.25
90.38
88.98
85.85
83,18
76.39
% Change
Resultant
Angle
1.03
2.61
-0.23
6.43
15.21
11.52
9.17
19.41
15.32
5.12
4.33
0,52_|
0.66
Directional
Velocity
Axial
Velocity
4.18 j 3.87
4.01 3.38
3.47 | 3.50
4.84 j 4.30
4.73
4.25
4.95 4.84
4.77 4.76
4.68
4-31
5.01 : 4.37
4.86
3,44
4.49
2.90
3.62 3.52
2.05 1.85
TABC1132.WK4
C1-237
- 04/09/99
-------
o
Figure Cl-79. Spherical Probe SPH-5 Pre- and Post-Test Calibrations
NC State Wind Tunnel ~ August and November 1997
O
H
I 3
*s
U
0
-30 -25 -20 -15 -10 -50 5 10 15 20 25 30
Pitch Angle (degrees)
30 fps
60 fps
90 fps
TABCl 132.WK4
04/08/99
-------
Table C1-133. Spherical SPH-5 Pre-test Computations - 30 fps
Probe: Spherical SPH-5 / Pre-Test 30-60 Calibration
Velocity Point: 30 fps Cai Date:
08/05/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Mb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
Pitfh Yiw - - -
i llwl i I aw ~~~~
Rep Angle Angle P4-P5 P1-P2
1 -30 -0.4 -0.350 0.155
-25 -0.3 -0.300 0.175
-20 -0.3 -0.290 0.190
-15 -0.3 -0.230 0.202
-10 -0.3 -0.090 0,210
-5 0.1 -0.060 0.220
0 0.1 0.010 0.219
5 0.1 0.100 0.218
10 0.1 0.175 0.217
15 0.1 0.250 0.214
20 0.1 0.333 0.200
25 0.1 0.336 0.192
30 -0.1 0.400 0.178
2 -30 -0.4 -0.400 0.150
-25 -0.3 -0.370 0.170
-20 -0.2 -0.300 0.190
-15 0.0 -0.290 0.205
-10 -0.1 -0.250 0.212
-5 0.0 -0.160 0.220
0 -0.2 -0.070 0.221
5 -0.2 -0.030 0,221
10 0.4 0.150 0.222
15 0.1 0.250 0.219
20 0.0 0.300 0.210
25 0.0 0.350 0.200
30 0.1 0.400 0.189
3 -30 -0.7 -0.380 0.155
-25 -0.2 -0.350 0.175
-20 -0.1 -0.300 0.195
-15 -0.1 -0.300 0.210
-10 -0.1 -0.230 0.215
-5 -0.1 -0.125 0.224
0 -0.1 -0.070 0.223
5 -0.1 -0.030 0.221
10 -0.1 0.130 0.222
15 -0.2 0.220 0.220
20 -0.1 0.300 0,210
25 -0.1 0.370 0.197
30 -0.3 0.400 0.182
Gas
Temp, F
73
73
73
73
73
73
73
73
73
72
72
72
72
85
85
84
84
84
83
83
83
83
83
82
82
82
84
84
84
84
84
83
83
83
83
83
83
83
83
Average
29.61
0.00
29.61
28.84
28.73
NA
0
29.44
0,2
16.2
16.2
9,43
ซ Ah.
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur,:
Avg Temp:
Last Row:
SPH-5
1.00
0.00
20.9
1
3.24%
78
61
_F
Volumetric Air Flow Rate,
SCFM Wet:
irii cc -ป-ป
^^- ^\l *ซ^/l_l_w *~ r
Pitch Resultant
-28.6
-22.1
-20.0
-14.0
-4.3
-1.9
3.1
7.6
10.9
15.3
21.8
23.2
30.0
-30.0
-27.6
-20.6
-18.2
-14.5
-8.4
-2.6
0.2
9.5
15.0
18.5
23.2
28.5
-30.0
-25.2
-20.1
-18.4
-13.1
-6.1
-2.5
0.2
8.7
13.2
18.5
25.2
29.6
-30
-25
-20
-15
-10
c
0
5
10
15
20
25
30
28.6
22.1
20,0
14.0
4.3
1.9
3.1
7.6
10.9
15.3
21.8
23.2
30.0
30.0
27.6
20.6
18.2
14.5
8.4
2,6
0.3
9.5
15.0
18.5
23.2
28.5
30.0
25.2
20.1
18,4
13.1
6.1
2.5
0.2
8.7
13.2
18.5
25.2
29.6
Res
29.55
24.95
20.24
16.89
10.63
5.46
2.72
2.70
9.69
14.49
19.63
23.84
29.37
Pt-Ps
0,2028
0.1995
0.2069
0.2040
0.1992
0.2087
0.2070
0.2056
0.2052
0.2054
0.2079
0.2026
0.2041
0.2017
0.2176
0.2096
0.2181
0.2150
0.2132
0.2096
0,2095
0.2094
0.2094
0.2100
0.2110
0.2127
0.1566
0.2132
0.2130
0.2240
0.2156
0.2140
0.2115
0.2095
0.2094
0.2094
0.2100
0.2124
0.2077
= ', - *
K" K*.iV-r",*
^ '_4>" 4
I
i"
., ~~-
}r!
t '' '
/ i
s.
0
\/A]j*if"itiฃ
V ClUljllit
Flow Dir
30.48
30.22
30.78
30.57
30.20
30.91
30.79
30.69
30.65
30.64
30.83
30.43
30.54
30.74
31.92
31.30
31.92
31.70
31.54
31.27
31.27
31.26
31.26
31.27
31.35
31.47
27.05
31.57
31.55
32,36
31.74
31.60
, 31.41
31.27
31.26
31.26
31.30
31.48
31.13
Vdir
29.42
31.24
31,21
31.62
31.22
31.35
31.16
31.07
31.06
31.05
31.14
31.08
31.05
1C ff/SIAf*
;ij, tusifS\f
Axial
26.75
28.01
28.93
29.66
30.12
30.89
30.74
30.42
30.10
29.56
28.62
27.97
26.45
26.62
28.30
29.30
30.32
30.69
31.20
31.24
31.26
30.83
30.20
29.65
28.82
27.66
23.42
28.55
29.62
30.70
30.92
31.42
31.38
31.26
30.90
30.42
29.68
28.49
27.06
Vax
25.60 !
28.29
29.28
30.23
30.58 i
31.17
31.12
30.98 :
30.61
30.06
29.32
28.43
27.06
C1-239
TABC1133.WK4
04/09/99
-------
Table C1-134. Spherical SPH-5 Post-tost Computations - 30 fps
Probe: Spherical SPH-5 / Post-Test 30-60 Calibration
Velocity Point: 30 fps Ca! Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wl. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/ib-moie:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.61
0.00
29.61
28.84
28.73
NA
0
30.60
0.2
16.8
16.8
9.35
Probe ID: SPH-5
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.24%
Avg Temp: 78 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I o|
Readings, in.H2O
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-0.4
-0.3
-0.3
-0.3
-0.3
0.1
0.1
0.1
0.1
0.1
0.1
0.1
-0.1
-0.4
-0.3
-0.2
0.0
-0.1
0.0
-0.2
-0.2
0.4
0.1
0.0
0.0
0.1
-0.7
-0.2
-0.1
-0,1
-0.1
-0.1
-0.1
-0.1
-0.1
-0.2
-0.1
-0.1
-0.3
P4-P5
-0.350
-0.300
-0.290
-0.230
-0.090
-0.060
0.010
0.100
0.175
0.250
0.333
0.336
0.400
-0.400
-0.370
-0.300
-0.290
-0.250
-0.160
-0.070
-0.030
0.150
0.250
0.300
0.350
0.400
-0.380
-0.350
-0.300
-0.300
-0.230
-0.125
-0.070
-0.030
0.130
0.220
0.300
0.370
0.400
P1-P2
0.155
0.175
0.190
0.202
0.210
0.220
0.219
0.218
0.217
0.214
0.200
0.192
0.178
0.150
0.170
0.190
0.205
0.212
0.220
0.221
0.221
0.222
0.219
0.210
0.200
0.189
0.155
0.175
0.195
0.210
0.215
0.224
0.223
0.221
0.222
0.220
0.210
0.197
0.182
Gas
Temp, F
73
73
73
73
73
73
73
73
73
72
72
72
72
85
85
84
84
84
83
83
83
83
83
82
82
82
84
84
84
84
84
83
83
83
83
83
83
83
83
Average
ซ ANGLES ป
Pitch
-29.7
-22.1
-19.8
-15.4
-4,7
-1.7
3.0
9.2
12.6
16.1
22.4
23.5
30.0
-30..0
-28.4
-20.5
-18.6
-15.9
-9.8
-2.6
0.6
11.5
15.7
19.3
23.5
30.0
-30.0
-25.7
-20.0
-18.7
-14.6
-6.9
-2.5
0.6
10.7
14.3
19.3
25.3
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
29.7
22.1
19.8
15.4
4.7
1.7
3.0
9.2
12.6
16.1
22.4
23.5
30.0
30.0
28.4
20.5
18.6
15.9
9.8
2.6
0.7
11.5
15.7
19.3
23.5
30.0
30.0
25.7
20.0
18.7
14.6
6.9
2.5
0.6
10.7
14.3
19.3
25.3
30.0
Res
29.90
25.44
20.10
17.58
11.73
6.16
2.70
3.50
11.57
15.35
20.37
24.12
30.00
R-Ps
0.2215
0.2135
0.2219
0.2254
0.2199
0.2300
0.2268
0.2254
0.2263
0.2260
0
2229
0.2173
0.2120
0
2158
0.2366
0
0
0
0
0
0
0
0
2244
2363
2377
2332
2312
2304
2307
2308
0.2254
0.2264
0
0
2251
1729
0.2295
0.2281
0.2425
0.2379
0.2358
0.2333
0.2304
0.2302
0.2306
0.2254
0.2279
0.2168
h- '?
Rri
- .
1 -"
*i
**-.
*,'_-
~
^
^
ฅ
;i||^ ,
-j^r." '|
i, -,,' .
ป- *
-,," _. - ,
r,' _ '-
,i'-''A< -""'
**?ir "ป
^ ',
^-Jl^ -K
*:?'
_,
Velocities, ft/sec
Flow Dir
31.85
31.27
31.88
32.13
31.74
32.46
32.22
32.13
32.19
32.14
31.92
31.52
31.13
31.79
33.29
32.39
33.24
33.33
32.99
32.84
32.79
32.81
32.82
32.40
32.47
32.38
28.43
32.75
32.65
33.87
33.34
33.17
32.99
32.79
32.77
32.80
32.43
32.61
31.80
Vdir
30.69
32.44
32.30
33.01
32.80
32.87
32.68
32.57
32.5i
32.58
32.25
32.20
31.77
Axial
27.67
28.97
29.98
30.97
31.63
32.44
32.18
31.72
31.42
30.88
29.51
28.90
'26.96
27.53
29.27
30.34
31.51
32.06
32.50
32.81
32.79
32.16
31.59
30.57
29.77
28.04
24.62
29.50
30.68
31.88
32.27
32.92
32.96
32.79
32.21
31.78
30.60
29.48
27.54
Vax
26.61
29.25
30.34
31.45
31.99
32.62
32.65 I
32.43 |
31.93
31.42
30.23
29.38
27.51 _j
C1-240
TA8C1134.WK4
04/08/99
-------
Table C1-135. Spherical SPH-5 Pre-test Computations - 60 fps
Probe: Spherical SPH-5 / Pre-Test 30-60 Calibration
Velocity Point: 60 fps Cal Date:
Number Of Points:
39
08/05/97
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
Pitch Yaw
Rep Angle Angle P4-P5 P1-P2
1 -30 -0.4 -1.250 0.550
-25 -0.3 -1.200 0.600
-20 -0.3 -1.030 0.670
-15 -0.6 -0.820 0.710
-10 -0.4 -0.600 0.750
-5 -0.4 -0.400 0,760
0 -0.4 -0.160 0.770
5 -0.3 -0.020 0.770
10 -0.3 0.580 0.775
15 -0.2 0.880 0.760
20 -0.1 1.100 0.730
25 -0.3 1.300 0.690
30 -0.2 1.420 0.650
2 -30 -0,7 -1,250 0,550
-25 -0.6 -1.200 0.600
-20 -0.5 -1.000 0.670
-15 -0.5 -0.720 0.720
-10 -0.5 -0.590 0.750
-5 -0.4 -0.300 0.770
0 -0.3 -0.050 0.775
5 0.0 0.330 0.790
10 -0.3 0.640 0.780
15 0.0 0.950 0.770
20 0,0 1.150 0.680
25 -0.4 1.310 0.630
30 -0.3 1.440 0.625
3 -30 -0.7 -1.240 0.550
-25 -0.6 -1.200 0.600
-20 -0.4 -1.000 0.675
-15 -0.5 -0.820 0.720
-10 -0.4 -0.600 0.750
-5 -0.4 -0.300 0.770
0 -0.3 -0.030 0.760
5 -0.3 0.330 0.780
10 -0.3 0.600 0.780
15 -0.3 0.900 0.770
20 -0.1 1.140 0.730
25 -0.2 1.300 0.700
30 -0.2 1.450 0.630
Gas
Temp, F
74
75
75
75
75
76
76
76
77
78
78
78
78
85
85
85
85
85
84
84
84
84
84
84
84
83
86
86
85
85
85
85
85
85
85
85
84
84
84
Average
29.61
0.00
29.61
28.84
28.73
NA
0
55.10
0.3
16.2
16.2
9.43
Probe ID:
Pitot Cp:
CO2, %d;
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-5
1.00
0.00
20.9
1
3,46%
80
61
_F
Volumetric Air Flow Rate,
SCFM Wet:
ซ ANGLES ป
Pitch
-28.8
-25.2
-20.1
-14.2
-9.4
-5.7
-0.9
2.0
10.2
15.2
19.5
25.2
29.4
-28.8
-25.2
-19.5
-12.1
-9.2
-3.7
1.3
7.2
11.0
16.1
22.3
28.0
30.0
-28.6
-25.2
-19.3
-14.0
-9.4
-3.7
1.7
7.3
10.4
15.3
20.2
24.9
30.0
-30'
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
28.8
25.2
20.1
14.2
9.4
5.7
1.0
2.0
10.2
15.2
19.5
25.2
29.4
28.8
25.2
19.5
12.1
9.2
3,7
1.4
7.2
11.1
16.1
22.3
28.0
30.0
28.6
25.2
19.3
14.0
9.4
3.7
1.8
7.3
10.4
15.3
20.2
24.9
30.0
Res
28.75
25.24
19.63
13.45
9.35
4.35
1.37
5.48
10.55
15.52
20.66
26.02
L 29.81
Pt-Ps
0.7224
0.7309
0.7317
0.7183
0.7315
0.7241
0.7302
' 0.7286
0.7314
0.7283
0.7389
0.7448
0.7401
0.7224
0.7309
0.7245
0.7167
0.7306
0.7304
0.7338
0.7451
0.7379
0,7469
0.7102
0.7043
0.7167
0.5565
0.7309
0.7282
0.7272
0.7315
0.7304
0.7193
0.7357
0.7367
0.7392
0.7454
0.7520
0.7224
-< '"" f > ~ '
- -v5f
'ฃ',<:
i
- ---. *
, ,.,., ซ
ฃ.j ~ ^ i
-"--"i' "
~ ~ *
ป -~~ ' ;
Z J7'"
0
Velocities, ft/sec
Flow Dir
57.57
57.96
57.99
57.46
57.99
57.75
57.99
57.93
58.09
58.02
58.44
58.68
58.49
58.16
58.50
58.25
57.93
58.49
58.43
58.57
59.01
58.73
59.09
57.61
57.37
57.82
51.09
58.56
58.40
58.36
58.53
58.48
58.04
58.69
58.73
58.83
59.02
59.29
58.11
Vdir
55.61
58.34
58.21
57.92
58.33
58.22
58.20
58.54
58.52
58.65
58.36
58.45
58.14
Axial
50.44
52.43
54.45
55.70
57.21
57.46
57.98
57.89
57.18
56.00
55,09
53.07
50.94
50.96
52,92
54.91
56.64
57.73
58.31
58.55
58.55
57.64
56.77
53.32
50.67
50.08
44.86
52.96
55.12
56.62
57.74
58.36
58.01
58.22
57.76
56.75
55.38
53.79
50.32
Vax
48.75 I
52.77
54.83
56.32
57.56
58.04
58.18
58.22
57.53 j
56.51 I
54,60 i
52.51
50.45 j
Cl-241
TABC1135.WK4
04/09/99
-------
Table C1-136. Spherical SPH-5 Post-test Computations - 60 fps
Probe: Spherical SPH-S / Post-Test 30-60 Calibration
Velocity Point: 60 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
-5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-0.4
-0.3
-0.3
-0.6
-0.4
-0.4
-0.4
-0.3
-0.3
-0.2
-0.1
-0.3
-0.2
-0.7
-0.6
-0.5
-0.5
-0.5
-0.4
-0.3
0.0
-0.3
0.0
0.0
-0.4
-0.3
-0.7
-0.6
-0.4
-0.5
-0.4
-0.4
-0.3
-0.3
-0.3
-0.3
-0.1
-0.2
-0.2
Deviation:
Readings, in.H2O
P4-P5
-1.250
-1.200
-1.030
-0.820
-0.600
-0.400
-0.160
-0.020
0.580
0.880
1.100
1.300
1.420
-1.250
-1.200
-1.000
-0.720
-0.590
-0.300
-0.050
0.330
0.640
0.950
1.150
1.310
1.440
-1.240
-1.200
-1.000
-0.820
-0.600
-0.300
-0.030
0.330
0.600
0.900
1.140
1.300
1.450
P1-P2
0.550
0,600
0.670
0.710
0.750
0.760
0.770
0.770
0.775
0.760
0.730
0.690
0.650
0.550
0.600
0.670
0.720
0.750
0.770
0.775
0.790
0.780
0.770
0.680
0.630
0.625
0.550
0.600
0.675
0.720
0.750
0.770
0.760
0.780
0.780
0.770
0.730
0.700
0.630
Gas
Temp, F
74
75
75
75
75
76
76
76
77
78
78
78
78
85
85
85
85
85
84
84
84
84
84
84
84
83
86
86
85
85
85
85
85
85
85
85
84
84
84
Average
29.61
0.00
29.61
28.84
28.73
NA
0
57.24
0.3
16.9
16.9
9.38
Probe ID: SPH-5
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.46%
Avg Temp: 80 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
i
ซ ANGLES ป
Pitch
-29.9
-25.7
-20.0
-15.6
-10.9
-6.4
-0.5
2.1
12.1
15.9
20.3
25.4
30.0
-29.9
-25.7
-19.5
-13.6
-10.7
-4.0
1.6
8.5
12.7
16.9
22.8
29.4
30.0
-29.6
-25.7
-19.3
-15.4
-10.9
-4.0
1.9
8.6
12.3
16.1
21.1
24.9
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
C 1-242
Resultant
29.9
25.7
20.0
15.6
10.9
6.4
0.6
2.1
12.1
15.9
20.3
25.4
30.0
29.9
25.8
19.5
13.6
10.7
4.0
1.6
8.5
12.7
16.9
22.8
29.4
30.0
29.6
25.8
19.3
15.4
10.9
4.0
1.9
8.6
12.3
16.1
21.1
24.9
30.0
Res
29.82
25.75
19.59
14.90
10.80
4.79
1.38
6.42
12.36
16.30
21.39
26.59
30.00
Pt-Ps
0.7898
0
7868
0.7835
0
7938
0.8019
0
7989
0.8045
0
0
7995
8070
0.8019
0
7900
0.7990
0.7743
0.7898
0.7868
0.7795
0.7897
0
.8006
0.8061
0
0
0
.8059
.8163
.8137
0.8164
0
0
0
0
0
.7615
.7477
.7445
.6149
.7868
0.7843
0.8034
0
.8019
0.8061
0.7895
0
.8061
0.8126
0.8131
0.7982
0.8076
0.7504
i
"
1
5|
-
" -"-f^ '
''" '
%'
-;
-"-',
-~&:.' i
...ป '""' '
, -
44->,
0
Velocities, ft/sec
Flow Dir
60.20
60.14
60.01
60.40
60.71
60.66
60.87
60.68
61.02
60.88
60.43
60.77
59.82
60.81
60.70
60.41
60.81
61.23
61.38
61.37
61.77
61.67
61.77
59.66
59.12
58.93
53.71
60.75
60.60
61.33
61.28
61.44
60.80
61.44
61.69
61.70
61.08
61.44
59.22
Vdir
58.24
60.53
60.34
60.85
61.07
61.16
61.01
61.29
61.46
61.45
60.39
60.44
59.33
Axial
52.18
54.17
56.40
58.17
59.63
60.28
60.87
60.64
59.67
58.55
56.66
54.88
51.81
52.71
54.67
56.96
59.10
60.17
61.23
61.35
61.08
60.16
59.11
55.02
51.50
51.04
46.68
54.72
57.18
59.12
60.18
61.29
60.77
60.74
60.28
59.29
57.00
55.71
51.29
Vax
50.52
54.52
56.85
58.80
59.99
60.93
60.99 j
60.82
60.04
58.98
56.23 I
54.03
51.38
TABC1136.WK4
04/09/99
-------
Table C1-137. Spherical SPH-5 Pre-tost Computations - 90 fps
Probe: Spherical SPH-5 / Pro-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
08/05/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.61
0.00
29.61
28.84
28.73
NA
0
83.06
0.3
16.6
16.6
9.13
Pitch
Probe ID:
Pitot Cp:
CO2, %d:
02, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-5
1.00
0.00
20.9
1
4.53%
88 F
61
Volumetric Air Flow Rate,
SCFM Wet:
r
Resultant Pt-Ps
61
vSlOGiuSS,
Flow Dtr
fit/COA
TUSSG
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-0.4
-0.3
0.2
-0.7
-0.5
-0.5
-0.3
-0.3
-0.3
-0.3
0.0
0.4
0.3
-0.7
-0,1
-0.3
-0.4
-0.3
-0.4
-0.4
-0.3
-0.1
-0.1
0.0
0.0
-0.4
-0.7
-0.4
-0.2
-0.8
-0.7
-0.7
-0.3
-0.4
-0.4
-0.2
-0.2
-0.3
0.1
-2.900
-2.750
-2.450
-2.000
-1.350
-0.650
-0.070
0.750
1.400
1.850
2.400
2.850
3.100
-2.950
-2.850
-2.450
-2.100
-1.400
-1.100
-0.070
0.800
1.400
2.050
2.500
2.800
3.100
-2.900
-2.800
-2.400
-1.900
-1.300
-0.650
-0.070
0.700
1.450
1.900
2.400
2.850
3.100
1.170
1.350
1.480
1.580
1.660
1.700
1.710
1.750
1.750
1.700
1.630
1.550
1.420
1.350
1.330
1.500
1.570
1.660
1.700
1.700
1.740
1.720
1.720
1.630
1.550
1.360
1.170
1.350
1.500
1.600
1.670
1.700
1.740
1.740
1.750
1.720
1.650
1.530
1.370
87
87
87
87
86
86
85
85
84
84
83
82
82
86
87
88
88
89
89
90
91
91
91
92
92
92
98
98
98
97
97
97
97
96
96
96
96
95
95
-30.0
-25.7
-21.4
-15.8
-9.6
-3.6
1.7
7.3
10.8
14.3
19.1
24.6
29.4
-27.7
-27.1
-21.2
-17.0
-10.0
-7.3
1.7
7.6
11.0
15.6
19.8
24.1
30.0
-30.0
-26.2
-20.8
-14.7
-9.1
-3.6
1.7
7.1
11.1
14.5
18.9
24.9
30.0
30.0
25.7
21.4
15.9
9.6
3.6
1.7
7.3
10.8
14.3
19.1
24.6
29.4
27,7
27.1
21.2
17.0
10.0
7.3
1.8
7.6
11.0
15.6
19.8
24.1
30.0
30,0
26.2
20.8
14.7
9.1
3.6
1.8
7.1
11.2
14.5
18.9
24.9
30.0
1.5736
1.6620
1.6633
1.6273
1.6208
1.6125
1.6185
1.6505
1.6545
1.6228
1.6413
1.6600
1.6165
1.7319
1.6866
1.6769
1.6425
1.6249
1.6365
1.6090
1.6411
1.6269
1.6574
1.6567
1.6510
1.5595
1.2050
1.6795
1.6634
1.6243
1.6258
1.6125
1.6469
1.6411
1.6561
1.6427
1.6569
16452
1.5709
86.00
88.38
88.41
87.45
87.20
86.98
87.06
87.91
87.94
87.09
87.51
87.92
86.76
90.14
89.03
88.86
87.94
87.55
87.86
87.20
88.14
87.76
88.58
88.64
88.49
86.00
76.01
89.73
89.30
88.17
88.21
87.85
88.78
88.54
88.95
88.59
88.97
88.57
86.55
74.47
79.62
82.31
84.12
85.98
86.81
87.02
87.20
86.38
84.39
82.70
79.96
75.58
79.82
79.25
82.85
84.10
86.22
87.14
87.16
87.37
86.16
85.32
83.38
80.80
74.48
65.82
80.50
83.47
85.29
87.09
87.67
88.74
87,87
87.27
85.76
84.19
80.31
74.95
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Res
29.23
26.35
21.14
15.85
9.57
4.84
1.75
7.33
10.98
14.80
19.25
24.52
29.81
Vdir
" ;:T ; 84.05
" . t'cj, ' 89.05
. ],J-'. I 88.86
''""-C-r 87.85
- ^f.l- v 87.65
^~f-~- - 87.56
"- ' ** ' 87.68
vซ" , 88.20
: ;.."" ' 88.22
.*<&",. 88.09
'i:^' - 88.37
ft ':C: 88.33
I :* ' 86.44
Vax
73.37 ~1
79.79
82.88
84.50
86.43
87.21
87.64
87.48
86.60
85.16
83.43
80.36
75.00
C1-243
TABC1137.WK4
04/09/99
-------
Table C1-138. Spherical SPH-5 Post-test Computations - 90 fps
Probe: Spherical SPH-5 / Post-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Rep Angle Angle P4-P5 P1-P2 Temp, F.
29.61
0.00
29.61
28.84
28.73
NA
0
86.31
0.3
17.3
17.3
8.91
ซ AKI
Pitch
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-5
1.00
0.00
20.9
1
4.53%
88 F
61
Volumetric Air Flow Rate,
SCFM Wet:
L
Resultant Pt-Ps
Oj
..
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-0.4
-0.3
0.2
-0.7
-0.5
-0.5
-0.3
-0.3
-0.3
-0.3
0.0
0.4
0.3
-0.7
-0.1
-0.3
-0.4
-0.3
-0.4
-0.4
-0.3
-0.1
-0.1
0.0
0.0
-0.4
-0.7
-0.4
-0.2
-0.3
-0.7
-0.7
-0.3
-0.4
-0.4
-0.2
-0.2
-0.3
0.1
-2.900
-2.750
-2.450
-2.000
-1.350
-0.650
-0.070
0.750
1.400
1.850
2.400
2.850
3.100
-2.950
-2.850
-2.450
-2.100
-1.400
-1.100
-0.070
0.800
1.400
2.050
2.500
2.800
3.100
-2.900
-2.800
-2.400
-1.900
-1.300
-0.650
-0.070
0.700
1.450
1.900
2.400
2.850
3.100
1.170
1.350
1.480
1.580
1.660
1.700
1.710
1.750
1.750
1.700
1.630
1.550
1.420
1.350
1.330
1.500
1.570
1.660
1.700
1.700
1.740
1.720
1.720
1.630
1.550
1.360
1.170
1.350.
1.500
1.600
1.670
1.700
1.740
1;740
1.750
1.720
1.650
1.530
1.370
87
87
87
87
86
86
85
85
84
84
83
82
82
86
87
88
88
89
89
90
91
91
91
92
92
92
98
98
98
97
97
97
97
96
96
96
96
95
95
-30.0
-26.3
-21.4
-16.9
-11.0
-3.8
1.9
8.7
12.5
15.1
19.9
24.7
30.0
-28.6
-27.9
-21.1
-17.7
-11.5
-8.5
1.9
9.2
12.7
16.4
20.7
24.3
30.0
-30.0
-26.9
-20.7
-16.0
-10.6
-3.8
1.9
8.3
12.8
15.3
19.7
25.0
30.0
30.0
26.3
21.4
16.9
11.0
3.9
1.9
8.7
12.5
15.1
19.9
24.7
30.0
28.6
27.9
21.1
17.7
11.5
8.5
1.9
9.2
12.7
16.4
20.7
24.3
30.0
30.0
26.9
20.7
16.0
10.6
3.9
1.9
8.3
12.8
15.3
19.7
25.0
30.0
1.6834
1.7931
1.7808
1,7900
1.7780
1.7795
1.7765
1.8087
1.8247
1.7858
1.7544
1.7824
1.6914
1.8846
1.8309
1.7952
1.7938
1.7849
1.7962
1.7661
1.7993
1.7940
1.8188
1.7730
1.7722
1.6200
1.3255
1.8160
1.7807
1.7958
1.7807
1.7795
1.8076
1.7975
1.8260
1.8088
1.7740
1.7669
1.6319
88.95
91.80
91.48
91.72
91.33
91,37
91.21
92.03
92.35
91.36
90.47
91.11
88.75
94.03
92.76
91.94
91.90
91.76
92.05
91.36
92.29
92.16
92.79
91.70
91.68
87.65
79.72
93.31
92.40
92.70
92.31
92.28
93.01
92.67
93.40
92.96
92.06
91.79
88.21
77.03
82.29
85.17
87.76
89.64
91.16
91.16
90.96
90.15
88.23
85.07
82.78
76.86
82.57
81.96
85.75
87.55
89.93
91.04
91.30
91.10
89.92
89.04
85.78
83.58
75.91
69.03
83.23
86.42
89.11
90.74
92.07
92.96
91.69
91.08
89.68
86.68
83.19
76.40
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
C1-244
Vax
1 29.53
27.04
21.09
16.87
11.03
5.40
1.91
8.75
12.66
15.56
20.09
24.65
30.00
sgjซyigM 87.56
ii^J"^ ป'?':;' if^fe:! 92.62
affiiiljjftirtij 91 -9-*
lrv.JII*i| 92.11
IfillSli 91.80
91.90
pSiSSfJ 91.86
92.33
92 64
|||%*^''^lipB*| no OT
91.41
|SfSK;;f m 91,52
|ll;ryi;.:i 88.21
76.21
82.49
85.78
88.14
90.10
91.43 j
91.81
91.25
90.38
88.98
85.85 !
83.18 I
76.39 I
TABC1138.WK4
04/09/99
-------
ATTACHMENT O.
Spherical Probe SPH-6 Calibration Data
C1-245
-------
LL_
-2
-3
Figure C1-80. Spherical Probe 6 - Avg. (30-60 fps) F1 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-30 -25 -20 -15
-10 -5 05 10
Pitch Angle (degrees)
15 20
r
08/05/97 11/07/97
[Note: Each point is the mean of three replicatesT)
J L_
25
30
SPHCMPR.WK4
-------
1.2
1.15
1.1
1.05
0.95 -
0.9
Figure C1-81. Spherical Probe 6 - Avg. (30-60 fps) F2 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
08/05/97 + 11/07/97
[Note: Each point is the mean of three replicatesTj
15 20 25 30
SPHCMPR.WK4
-------
o
[Figure Cl-82, Spherical Probe 6; Percent Difference in F2 (Avg. 30-60 fps)
! NCSU Pre- (8/5/97) and Post-Test (11/7/97) Wind Tunnel Calibrations
h
0
CM
Li.
C -1
0)
O
ฃ -2
5 -3
-5 i
-6
-30
-25
_i_
0
-20 -15 -10 -5 0 5 10
Pitch Angle (degrees)
15
20
Note: Each point represents the mean of three replicates, i
i- - -.- - - - -.-
25 30
SPHCMPR.WK4
04/09/99
-------
Table C1-139. Spherical Probe SPH-6 Calibrations at NC State Wind Tunnel
August and November 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
29.50
25,00
20,35
16.30
12.33
5,48
2.99
3.99
8,44
14.19
19.30
24.13
29.52
Directional
Velocity
(fps)
Axial
Velocity
(fps)
29,94 ! 26.06
31.49
ai 04
\J I *ปJ*T
31.71
31.85
31.43
31.33
31.42
31.38
31.54
31.46
31.48
31.40
28.54
29.38
30.42
31.08
31.26
31.28
31.30
31.00
30.57
. 29.69
28.73
27.32
30 fps / November/ 30-60 Calibration
Resultant
Angle
(degrees)
29.61
24.96
20,22
16.55
13.15
6,25
2.53
2.91
Directional
Velocity
(fps)
31.04
32.49
32,51
33.11
33.50
33,17
32.97
33.03
7.27 j 32.96
14.08
19.95
33.07
32.85
24,85 i 32.98
29.67
32.38
Axial
Velocity
(fps)
26.99
29.45
30.51
31.73
32.60
32.93
32.94
32.95 .
32.63
32.06
30.88
29.93
28.13
% Change
Resultant
Angle
Directional
Velocity
0.39 ! 3.68
-0.15 i 3.18
-0,63
1.52
6.69
14,09
-15.48
-27.04
-13.88
-0.72
3.38
2.96
0,51
3.74
4.42
5.19
5.52
5,24
5.14
5.03
4.85
4.43
4.78
3.12
Axial
Velocity
3.56
3.21
3.83
4.29
4.89
5.34
5.29
5.25
5.25
4.89
4.00
4.18
2.96
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
29.61
25.04
19.63
13,96
8.11
3.92
3.08
6.30
11.79
15.83
20.79
25.91
30.01
Directional
Velocity
(fps)
56.60
58.78
59.09
58.40
58.66
58.97
58.81
59,07
59.00
58.84
58.97
58.88
58.58
Axial
Velocity
(fps)
49.21
53.25
55.65
56.67
58.07
58.82
58.72
58.70
57.76
56.60
55.13
52.96
50.73
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.05
24.98
19.54
14.49
9.40
4.23
2.05
4,71
11.57
15.83
21.53
26.53
30.01
Directional
Velocity
(fps)
58.77
60.61
61.37
61.24
62.05
62.11
61.89
62.09
61.97
61.60
61.73
61.49
60.26
Axial
Velocity
(fps)
50.87
54.94
57.84
59.29
61.21
61.93
61.84
61.85
60.71
59.26
57.42
55.01
52.19
% Change
Resultant
Angle
1.48
-0.23
-0.48
3.80
15.89
7.67
-33.54
-25.22
-1.79
-0,05
3.57
2.42
0.00
Directional
Velocity
Axial
Velocity
3.83 j 3.38
3.13
3.86
4.86
5.78
5.33
5.23
5.11
5,03
4.69
4.68
4.43
2.88
3.17
3.92
4.62
5.41
5.29
5.31
5.38
5.11
4.70
4.16
,_ 3-87
2.88
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)^
29.80
25.36
20.03
14.60
9.17
4.37
0.78
7.48
11.68
15.34
19.58
24.65
29.27
Directional
Velocity
(fps)
84.23
88.28
87.79
87.65
87.48
88.08
88.38
88.14
87.77
87,67
86.94
86.94
86,08
Axiai
Velocity
(fps)
73.10
79.77
82.47
84.81
86.36
87.79
88.37
87.39
85.95
84.55
81.91
79.02
75.09
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.99
25.33
19.92
15.03
10,51
4.76
Directional
Velocity
(fps)
87.34
91.04
91.11
91.76
92.65
92.82
0.38 92.91
6.27
11.47
15.24
20.24
25.34
29.66
Axial
Velocity
(fps)
75.65
82.28
" 85.66
88.62
91.08
92.45
92.91
92,59 92.02
92.18
91.85
90.80
91.05
88.97
90.34
88.62
85.19
82.28
77.32
% Change
Resultant
Angle
0.64
-0.11
-0.56
2.89
Directional
Velocity
3.70
3.13
L_ 3-79
4.70
14.64 i 5.90
8.85
-51.13
-16.13
-1.83
-0.63
3.39
2.81
1.32
L 5-38
5.13
5.04
5.03
4.77
4.44
Axial
Velocity
3.49
3.15
3.86
4.49
5.47
5.31
5.14
5.30
5.11
4.82
4.00
4.72 ] 4.13
3.36 2.96
TABC1139.WK4
C1-249
- 04/19/99
-------
co
-------
Table C1-140, Spherical SPH-6 Pre-tast Computations - 30 fps
Probe: Spherical SPH-6 / Pre-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
08/05/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-rnole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Pitch
.Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
is
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
1.9
2.0
0.7
0,7
0.4
0.4
0.3
0.3
0.3
0.3
0.3
0.3
0.4
2.3
2.4
1.1
1.1
1.1
0.4
0.4
0.4
0.4
0.5
-0.7
-0.7
-0.6
1.6
1.7
1.7
1.7
0.8
-0.1
-0.1
-0.3
0.2
Q.2
0.3
-0.7
-0.5
Deviation:
Readings, in.H2O
P4-P5
-0.380
-0.330
-0.300
-0.250
-0.180
-0.070
-0.010
0.070
0.170
0.240
0.300
0.350
0.400
-0.390
-0.350
-0.310
-0.290
-0.270
-0.160
-0.080
-0.030
0.030
0.190
0.300
0.360
0.400
-0.380
-0.350
-0.310
-0.290
-0.250
-0.150
-0.080
-0.030
0.030
0.180
0.290
0.360
0.400
P1-P2
0.174
0.190
0.205
0.215
0.224
0.226
0.226
0.226
0.223
0.220
0.210
0.195
0.172
0.166
0.190
0.205
0.215
0.228
0.230
0.230
0.231
0.230
0.229
0.213
0.200
0.185
0.166
0.190
0.200
0.221
0.229
0.230
0.228
0.230
0.230
0.227
0.220
0.200
0.175
Temp, F
88
88
88
88
88
88
88
88
88
88
88
88
88
96
96
95
95
95
94
94
94
93
93
93
93
92
92
92
92
92
91
91
91
91
.91
91
91
91
91
Average
29.64
0.00
29.64
28.84
28.73
NA
0
29,74
0.8
16.2
16.3
9.22
Probe ID: SPH-6
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.63%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I ol
ซ ANGLES ป
Pitch
-28.3
-23.9
-19.6
-14.3
-9.0
-1.8
4.0
8.1
12.7
16.2
19.8
24.1
30.0
-30.0
-25.4
-20.4
-17.5
-14.7
-7.6
-2.4
1.9
6.3
13.4
19.5
24.1
28.5
-30.0
-25.4
-21.0
-16.9
-13.2
-7.0
-2.5
1.9
6.3
13.0
18.6
24.1
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
28.4
24.0
19.6
14.4
9.0
1.8
4.0
8.1
12.7
16.2
19.8
24.1
30.0
30.1
25.5
20.4
17.6
14.7
7.6
2.5
2.0
6.3
13.4
19.6
24.2
28.5
30.0
25.5
21.0
17.0
13.3
7.0
2.5
1.9
6.3
13.0
18.6
24.2
30.0
Res
29.50
25.00
20.35
16.30
12.33
5.48
2.99
3.99
8.44
14.19
19.30
24.13
29.52
Pt-Ps
0.2062
0.2054
0.2070
0.2065
0.2057
0.2060
0.2052
0.2064
0.2066
0.2081
0.2061
0.2060
0.2045
0.2039
0.2112
0.2092
0.2130
0.2197
0.2105
0.2096
0.2103
0.2092
0.2127
0.2086
' 0.2115
0.2136
0.1594
0.2112
0.2061
0.2175
0.2176
0.2102
0.2078
0.2094
0.2092
0.2106
0.2134
0.2115
0.2080
Velocities, ft/sec
Flow Dir
31
31
31
31
31
31
31
31
31
31
31
31
31
31
31
31
31
32
31
31
31
31
31
31
31
14
09
20
17
11
13
07 ,
16
17
28
14
13
01
19
75
57
85
35
64
57
63
51
77
47
68
31.81
27
31
31
32
32
48
63
25
10
08
31.53
31.35
31
31
.47
46
31.56
31
.77
31.63
31
37
Vdir
--. ; : 29.94
- :" V.*js ' ]
[ * IjK-^H ,
l- - ซ*ซ'' '|
31
31
31
49
.34
.71
o '--f;~ ? 31.85
" ' - . .
* -*,*% *
!V fi?^.-'
,' ".'-;. i
-:" - \'
! '-".',
' ' -."-' ' |
* * ,' .
31
31
31
31
31
31
31
31
.43
.33
.42
.38
.54
.46
.48
.40
Axial
27.40
28.41
29.40
30.19
30.72
31.12
30.99
30.85
30.41
30.05
29.30
28.42
26.86
26.99
28.65
29.59
30.36
31.29
31.36
31.54
31.61
31.32
30.91
29.65
28.91
27.95
23.79
28.56
29.17
30.71
31.23
31.30
31.32
- 31.45
31.27
30.75
30.11
28.86
27.16
Vax
26.06
28.54
29.38
30.42
31.08
31.26
31.28
31.30
31.00
30.57 ;
29.69
28.73
27.32 ;
Cl-251
TABC1140.WK4
04/09/99
-------
Table C1-141. Spherical SPH-6 Post-test Computations - 30 fps
Probe: Spherical SPH-6 / Post-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in, Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Row Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard Deviation:
29.64
0.00
29.64
28.84
28.73
NA
0
31.06
0.8
16.3
16.3
9.49
Probe ID: SPH-6
Pitot Cp: 1 .00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.63%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
i
o
Readings, in.H2O
Pitrh
r lion
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
I aW
Angle
1.9
2.0
0.7
0.7
0.4
0.4
0.3
0.3
0.3
0.3
0.3
0.3
0.4
2.3
2.4
1.1
1.1
1.1
0.4
0.4
0.4
0.4
0.5
-0.7
-0.7
-0.6
1.6
1.7
1.7
1.7
0.8
-0.1
-0.1
-0.3
0.2
0.2
0.3
-0.7
-0.5
P4-P5
-0.360
-0.330
-0.300
-0.250
-0.180
-0.070
-0.010
0.070
0.170
0.240
0.300
0.350
0.400
-0.390
-0.350
-0.310
-0.290
-0.270
-0.160
-0.080
-0.030
0.030
0.190
0.300
0.360 '
0.400
-0.380
-0.350
-0.310
-0.290
-0.250
-0.150
-0.080
-0.030
0.030
0.180
0.290
0.360
0.400
P1-P2
0.174
0.190
0.205
0.215
0.224
0.226
0.226
0.226
0.223
0.220
0.210
0.195
0.172
0.166
0.190
0.205
0.215
0.228
0.230
0.230
0.231
0.230
0.229
0.213
0.200
0.185
0.166
0.190
0.200
0.221
0.229
0.230
0.228
0.230
0.230
0.227
0.220
0.200
0.175
f ao
Temp, F
88
88
88
88
88
88
88
88
88
88
88
88
88
96
96
95
95
95
94
94
94
93
93
93
93
92
92
92
92
92
91
91
91
91
91
91
91
91
91
Average
^ef AK
Pitch
-28.7
-23.8
-19.5
-14.8
-10.4
-2.1
2.0
7.1
12.5
16.2
20.5
24.8
30.0
-30.0
-25.4
-20.2
-17.7
-15.0
-8.7
-2.7
0.8
4.6
13.2
20.2
24.9
29.0
-30.0
-25.4
-20.8
-17.1
-13.9
-7.9
-2.8
0.8
4.6
12.8
19.1
24.9
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25 '
30
fl CTC ^^,
Resultant
28.7
23.9
19.5
14.8
10.4
2.1
2.1
7.1
12.5
16.2
20.5
24.8
30.0
30.1
25.5
20.3
17.7
15.1
8.7
2.7
0.9
4.7
13.2
20.3
24.9
29.0 -
30.0
25.5
20.9
17.2
13.9
7.9
2.8
0.8
4.7
12.8
19.1
24.9
30.0
Res
29.61
24.96
20.22
16.55
13.15
6.25
2.53
2.91
7.27
14.08
19.95
24.85
29.67
Pt-Ps
0.2206
0.2190
0.2234
0.2265
0.2307
0.2280
0.2274
0.2279
0.2277
0.2279
0.2252
0.2261
0.2164
0.2162
0.2247
0.2250
0.2312
0.2406
0.2353
0.2321
0.2327
0
2309
0.2342
0.2274
0.2322
0.2292
0.1749
0.2247
0.2214
0.2367
0.2402
0.2346
0.2301
0.2317
0.2309
0.2319
0.2324
0.2322
0.2202
;;.
**",'
ft. f,
\"
.'-"
>'".
i
'
.'-
g
'h~' *
: tr*Su 1
.I"*"- "5
- S_ '
-".'
-.,,
' '/:>'.
"7f;
1 ~." ,
....
VSIQCIIK
Flow Dir
32.21
32.10
32.41
32.64
32.94
32.75
32.71
32.74
32.72
32.74
32.54
32.61
31.90
32.12
32.75
32.74
33.19
33.85
33.45
33.22
33.26
33.11
33.34
32.85
33.20
32.96
28.79
32.63
32.39
33.49
33.71
33.31
32.99
33.10
33.05
33.12
33.15
33.14
32.27
Vdir
31.04
32.49
32.51
33.11
33.50
33.17
32.97
33.03
32.96
33.07
32.85
32.98
32.38
_ ftlt^f-.n
3, TUSGC
Axial
28.25
29.35
30.56
31.56
32.40
32.72
32.68
32.49
31.95
31.44
30.49
29.61
27.63
27.80
29.55
30.71
31.62
32.69
33.06
33.18
33.26
33.00
32.46
30.82
30.12
28.82
24.92
29.46
30.25
32.00
32.71
32.99
32.95
33.10
32.94
32.30
31.32
30.06
27.94
Vax
26.99 |
29.45
30.51
31.73
32.60
32.93
32.94
32.95
32.63
32.06
30.88
29.93
28.13 I
TABC1141.WK4
C1-252
04/09/99
-------
Table C1-142. Spherical SPH-6 Pre-test Computations - 60 fps
Probe: Spherical SPH-6 / Pre-Test 30-60 Calibration
Velocity Point: 60 fps Cal Date:
08/05/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.64
0.00
29.64
28.84
28.73
NA
0
55.56
0.6
16.4
16.5
9.28
Probe ID: SPH-6
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.64%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I
o|
Readings, in.H2O
Pitrh
rilvl 1
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Ynu/
I ctw
Angle
1.9
1.3
1.4
0.7
0.0
0.0
0.0
-0.1
-0.1
-0.3
-0.2
-0.7
-0.7
1.6
1.7
0.6
0.7
-0.2
0.1
0.0
-0.3
-0.4
-0.4
-0.6
-0.6
-0.7
2.1
1.6
0.9
0.9
0.2
0.1
-0.2
-0.1
-0.4
-0.5
-0.5
-0.5
-0.5
P4-P5
-1.300
-1.200
-1.100
-0.890
-0.600
-0.440
-0.290
-0.020
0.550
0.800
1.100
1.300
1.400
-1.300
-1.200
-1.050
-0.830
-0.600
-0.300
-0.060
0.200
0.550
0.850
1.100
1.300
1.400-
-1 .300
-1.200
-1.060
-0.850
-0.550
-0.320
-0.060
0.160
0.520
0,820 -
1.150
1.310
1.420
P1-P2
0.600
0.670
0.730
0.750
0.790
0.800
0.800
0.810
0.800
0.770
0.750
0,670
0.610
0.600
0.660
0.730
0.750
0.790
0.810
0.810
0.810
0.790
0.780
0.740
0.680
0.610
0.600
0.660
0.730
0.760
0.800
0.810
0.800
0.810
0.800
0.780
0.720
0.660
0.610
Gas
Temp, F
88
88
89
89
89
89
89
89
89
89
90
90
90
93
93
93
93
93
93
93
93
93
93
93
93
93
92
92
92
92
92
92
92
92
92
91
91
91
91
Average
ซ Al^
Pitch
-29.6
-24.7
-20.3
-14.7
-8.4
-5.7
-2.7
4.5
11.9
15.6
20.2
25.8
30.0
-29.6
-25.1
-19.1
-13.5
-8.4
-2.8
3.3
7.4
12.0
16.1
20.4
25.5
30.0
-29.6
-25.1
-19.4
-13.7
-7.5
-3.2
3.3
7.0
11.5
15,7
21.7
26.4
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
If^l P-Q ป
Resultant
29.6
24.8
20.4
14.7
8.4
5.7
2.7
4.5
11.9
15.6
20.2
25.8
30.0
29.6
25.2
19.1
13.5
8.4
2.8
3.3
7.4
12.0
16.2
20.4
25.5
30.0
29.6
25.2
19.4
13.7
7.5
3.2
3.3
7.0
11.5
15.7
21.7
26.4
30.0
Res
29.61
25.04
19.63
13.96
8.11
3.92
3.08
6.30
11.79
15.83
20.79
25.91
30.01
Pt-Ps
0.7301
0.7343
0.7439
0
7228
0.7246
0.7289
0.7289
0.7352
0.7390
0.7240
0.7403
0,7316
0.7251
0.7301
0.7285
0.7340
0
7144
0.7246
0.7379
0.7363
0.7388
0.7300
0.7376
0.7336
0
7370
0.7251
0
0
0
0
0
0
0
0
0
0
5783
7285
7357
7252
7321
7377
7272
7380
7380
7344
0.7306
0.7290
0.7251
f
-'; *
F
'''
~?
-?'
(;
i
,
""-,,'
' v Nx
** '
'
\/*a]fspjf j
Vd 1/1*1 II1
Flow Dir
58.60
58.77
59.21
58.36
58.43
58.61
58.61
58.86
59.01
58,41
59.12
58,77
58.51
58.87
58.81
59.03
58.23
58.65
59.18
59.12
59.22
58.87
59.17
59.01
59,15
58.67
52.34
58.75
59.04
58.62
58.90
59.12
58.70
59.13
59.13 .
58.94
58.78
58.72
58.56
Vdir
56.60
58.78
59.09
58.40
58.66
58,i7
58.81
59.07
59.00
58.84
58.97
58.88
58.58
3C ft/QAf
Axial
50.95
53.36
55.51
56.45
57.80
58.32
58.54
58.68
57.75
56.26
55.49
52.89
50.66
51.19
53.22
55.76
56.62
58.01
59.11
59.02
58.72
57.58
56.83
55.30
53.39
50.80
45.50
53.17
55.69
56.35
58.39
59.02
58.60
58.70
57.95
56.72
54.60
52.60
50.71
Vax
__,PJ j
53.25
55.65
56.67
58.07
58.82
58.72
58.70
57.76 |
56.60 |
55.13 ',
52.96
50.73 '
C1-253
-TABC1142.WK4
04/09/99
-------
Table C1-143. Spherical SPH-6 Post-test Computations - 60 fps
Probe: Spherical SPH-6 / Post-Test 30-80 Calibration
Velocity Point: 60 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
1.9
1.3
1.4
0.7
0.0
0.0
0.0
-0.1
-0.1
-0.3
-0.2
-0.7
-0.7
1.6
1.7
0.6
0.7
-0.2
0.1
0.0
-0.3
-0.4
-0.4
-0.6
-0.6
-0.7
2.1
1.6
0.9
0.9
0.2
0.1
-0.2
-0.1
-0.4
-0.5
-0.5
-0.5
-0.5
Deviation:
Readings, in.H2O
P4-P5
-1.300
-1.200
-1.100
-0.890
-0.600
-0.440
-0.290
-0.020
0.550
0.800
1.100
1.300
1.400
-1.300
-1.200
-1.050
-0.830
-0.600
-0.300
-0.060
0.200
0.550
0.850
1.100
1.300
1.400
-1.300
-1.200
-1.060
-0.850
-0.550
-0.320
-0.060
0.160
0.520
0.820
1.150
1.310
1.420
P1-P2
0.600
0.670
0.730
0.750
0.790
0.800
0.800
0.810
0.800
0.770
0.750
0.670
0.610
0.600
0.660
0.730
0.750
0.790
0.810
0.810
0.810
0.790
0.780
0.740
0.680
0.610
0.600
0.660
0.730
0.760
0.800
0.810
0.800
0.810
0.800
0.780
0.720
0.660
0.610
Gas
Temp, F
88
88
89
89
89
89
89
89
89
89
90
90
90
93
93
93
93
93
93
93
93
93
93
93
93
93
92
92
92
92
92
92
92
92
92
91
91
91
91
Average
29.64
0.00
29.64
28.84
28.73
NA
0
58.03
0.6
16.5
16.5
9.56
Probe ID: SPH-6
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.64%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
L
ซ ANGLES ป
Pitch
-30.0
-24.7
-20.2
-15.1
-9.8
-6.1
-3.0
2.3
11.7
15.6
20.9
26.5
30.0
-30.0
-25.1
-19.1
-14.1
-9.8
-3.1
1.6
6.2
11.8
16.2
21.2
26.1
30.0
-30.0
-25.1
-19.3
-14.2
-8.5
-3.5-
1.6
5.6
11.3
15.7
22.5
27.0
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
30.1
24.7
20.2
15.1
9.8
6.1
3.0
2.3
11.7
15.6
20.9
26.5
30.0
30.0
25.1
19.1
14.1
9.8
3.1
1.6
6.2
11.8
16.2
21.2
26.1
30.0
30.1
25.1
19.3
14.3
8.6
3.5
1.6
5.6
11.3
15.7
22.5
27.0
30.0
Res
30.05
24.98
19.54
14.49
9.40
4.23
2.05
4.71
11.57
15.83
21.53
26.53
30.01
0
0
Pt-Ps
7816
7814
0.8003
0.7917
0
8113
0.8110
0
0
0
0
0
8073
8148
8151
7940
8110
0.7982
0
0
0
7674
7818
7746
0.7932
0.7875
0
8113
0.8174
0.8154
0.8152
0.8051
0
.8079
0.8037
0
.8060
0.7674
0.6333
0
0
0
0
0
0
.7746
.7944
.7985
.8180
.8175
.8053
0.8140
0
0
0
.8143
.8052
.8010
0.7926
0.7674
1 --
v-l*
A
._
'-'-
^
lr
\' , '
vS
-tt iv ~f
jC^Kf" \
>1^M J
--.. ^.
- ,t
~'~
" ^Ti (
vl ! '
0
Velocities, ft/sec
Flow Dir
60.63
60.62
61.41
61.08
61.83
61.82
61.68
61.97
61.98
61.17
61.87
61.39
60.19
60.91
60.64
61.36
61.14
62.06
62.29
62.21
62.20
61.82
61.92
61.76
61.85
60.35
54.78
60.58
61.35
61.51
62.25
62.24
61.77
62.10
62.11
61.71
61.55
61.23
60.24
Vdir
58.77
60.61
61.37
61.24
62.05
62.11
61.89
62.09
61.97
61.60
61.73
61.49
60.26
Axial
52.48
55.08
57.63
58.97
60.92
61.47
61.59
61.91
60.69
58.93
57.79
54.95
52.12
52.73
54.8i
57.99
59.29
61.15
62.20
62.19
61.83
60.52
59.46
57.59
55.52
52.26
47.41
54.85
57.90
59.61
61.56
62.12
61.75
61.81
60.91
59.40
56.87
54.56
52.17
Vax
50.87 I
54.94 I
57.84
59.29
61.21
61.93 ;
61.84
61.85
60.71
59.26
57.42
55.01
52.19
TABC1143.WK4
C1-254
04/09/99
-------
Table C1-144. Spherical SPH-6 Pre-test Computations - 90 fps
Probe: Spherical SPH-6 / Pro-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
08/05/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ifa/lb-mole:
Molecular WL Wet, Mb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
O!4ntt V*4iปi /"i****
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.64
0.00
29.64
28.84
28.73
NA
0
82.81
0.7
16.3
16.3
9.19
ซ AfsJ
Pitch
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur,:
Avg Temp:
Last Row:
SPH-6
1.00
0.00
20.9
1
4.63%
89
61
_F
Volumetric Air Flow Rate,
SCFM Wet:
r
f~*l ETC' ^.*>
Resultant . R-Ps
6]
VGlOCitlG
Flow Dir
e ft/eor-
af, lu&Cij
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.3
1.5
1.1
1.1
0.2
0.1
0.1
-0.2
-0.2
-0-3
-0.3
-0.7
-0.6
2.4
1.8
1.1
0.9
0.4
-0.2
0.0
-0.3
-0.2
-0.6
-0.6
-0.9
-1.0
2.3
2.0
1.3
0.7
0.4
0.0
0.0
-0.3
-0.4
-0.5
-0.3
-0.9
-0.9
-2.850
-2.700
-2.300
-2.000
-1.300
-0.700
-0.300
0.300
1.100
1.800
2.300
2.800
3.000
-2.900
-2.750
-2.450
-1.950
-1.550
-1.100
-0.400
0.450
1.140
1.780
2.200
2.700
2.950
-2.900
-2.700
-2.400
-2.000
-1.450
-0.730
-0.300
0.600
1.300
1.700
2.400
2.800
3.000
1.330
1.490
1.600
1.680
1.770
1.800
1.820
1.800
1.780
1.750
1.650
1.500
1.350
1.320
1.470
1.600
1.700
1.750
1.800
1.800
1.800
1.770
1.730
1.650
1.530
1.350
1.320
1,490
1.600
1.670
1.750
1.790
1.800
1.800
1.750
1.730
1.600
1.480
1.330
99
99
99
99
98
98
98
97
94
93
93
92
91
94
95
95
96
97
97
98
98
99
99
99
100
100
84
83
83
82
82
81
81
79
78
78
77
76
75
-29.3
-25.1
-19.1
-14.8
-8.1
-3.1
1.1
6.7
11.1
15.5
19.4
24.9
29.3
-29.9
-25.8
-20.7
-14.1
-10.1
-6.5
-0.2
7.5
11.4
15.5
18.7
23.7
28.8
-29.9
-25.1
-20.2
-14.9
-9.3
-3.5
1.0
8.3
12.5
15.0
20.6
25.2
29.7
29.3
25.1
19.1
14.8
8.1
3.1
1.1
6.7
11.1
15.5
19.4
24.9
29.3
30.0
25.9
20.7
14.1
10.1
6.5
0.2
7.5
11.4
15.5
18.8
23.7
28.8
30.0
25.1
20.2
14.9
9.3
3.5
1.0
8.3
12.5
15.0
20.6
25.3
29.7
1.6081
1.6418
1.6086
1.6201
1.6222
1.6394
1.6591
1.6389
1.6399
1.6435
1.6133
1.6072
1.5819
1.6192
1.6477
1.6411
1.6290
1.6124
1.6433
1.6428
1.6419
1.6324
1.6248
1.6028
1.6065
1.5678
1.2729
1.6418
1.6275
1.6121
1.6086
1.6300
1.6409
1.6450
1.6201
1.6164
1.5906
1.5958
1.5711
87.84
88.75
87.85
88.17
88.14
88.61
89.14
88.52
88.31
88.32
87.51
87.26
86.50
87.75
88.60
88.42
88.17
87.80
88.64
88.70
88.68
88.50
88.29
87.69
87.87
86.81
77.09
87.47
87.09
86.60
86.51
87.00
87.29
87.24
86.49.
86.39
85.63
85.68
84.94
76.57
80.38
82.99
85,24
87.26
88.48
89.12
87.92
86.64
85.11
82.54
79.12
75.45
75.97
79.73
82.70
85.50
86.44
88.07
88.70
87.92
86.75
85.08
83.04
80.44
76.04
66.75
79.20
81.72
83.69
85.36
86.84
87.28
86.33
84.45
83.45
80.16
77.49
73.79
Res
Vdir
Average
C1-255
Vax
-30
-25
-20
-15
-10
-5
29.80
25.36
20.03
14.60
9.17
4.37
0 | 0.78
5 7.48
10 !l 11.68
15 | 15.34
20
25
19.58
24.65
30 |[ 29.27
- ' _: 4 84.23
f -TX' "' 88.28
f""?r:Vj 87.79
- / : 87.65
t ' " 87.48
' ;--:', 88.08
--- % ", ' 88.38
- -' : 88.14
? 5,-.} 87.77
; . '." 87.67
.- -' 86.94
/ ' .,;- ' 86.94
^ f " 86.08
73.10
79.77
82.47
84.81
86.36
87.79
88.37
87.39
85.95
84.55
81.91
79.02
75.09
-TABC1144.WK4
04/09/99
-------
Table C1-144. Spherical SPH-6 - Post-test Computations - 90 fps
Probe: Spherical SPH-6 / Post-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/tb-mole:
Molecular Wt, Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pitch Yaw Gas
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.64
0.00
29.64
28.84
28.73
NA
0
86.50
0.7
16.5
16.5
9.36
ซ ANGLES ป
Pitch Resultant
Probe ID: SPH-6
PitotCp: 1.00
CO2, %d: 0.00
02, %d: 20.9
Water, %: 1
% Satur.: 4.63%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate
SCFM Wet:
r o~
Velocities,
Pt-Ps Flow Dir
ft/sec
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.3
1.5
1.1
1.1
0.2
0.1
0.1
-0.2
-0.2
-0.3
-0.3
-0.7
-0.6
2.4
1.8
1.1
0.9
0.4
-0.2
0.0
-0.3
-0.2
-0.6
-0.6
-0.9
-1.0
2.3
2.0
1.3
0.7
0.4
0.0
0.0
-0.3
-0.4
-0,5
-0.3
-0.9
-0.9 ~
-2.850
-2.700
-2.300
-2.000
-1.300
-0.700
-0.300
0.300
1.100
1.800
2.300
2.800
3.000
-2.900
-2.760
-2.450
-1.950
-1.550
-1.100
-0.400
0.450
1.140
1.780
2.200
2.700
2.950
-2.900
-2.700
-2.400
-2.000
-1.450
-0.730
-0.300
0.600
1.300
1.700
2.400
2.800
3.000
1.330
1.490
1.600
1.680
1.770
1.800
1.820
1.800
1.780
1.750
1.650
1.500
1.350
1.320
1.470
1.600
1.700
1.750
1.800
1.800
1.800
1.770
1.730
1.650
1.530
1.350
1.320
1.490
1.600
1.670
1.750
1.790
1.800
1.800
1.750
1.730
1.600
1.480
1.330
99
99
99
99
98
98
98
97
94
93
93
92
91
94
95
95
96
97
97
98
98
99
99
99
100
100
84
83
83
82
82
81
81
79
78
78
77
76
75
-29.7
-25.0
-19.1
-15.1
-9.4
-3.4
0.2
5.2
10.9
15.4
20.1
25.6
29.7
-30.0
-25.8
-20.5
-14.6
-11.4
-7.2
-0.7
6.3
11.2
15.4
19.3
24.4
29.3
-30.0
-25.0
-20.1
-15.3
-10.7
-3.7
0.2
7.4
12.3
14.9
21.3
25.9
30.0
29.8
25.0
19.1
15.2
9.4
3.4
0.3
5,2
10.9
15.4
20.1
25.6
29.7
30.1
25,9
20.6
14.6
11.4
7.2
0.7
6.3
11.2
15.4
19.3
24,5
29.3
30.1
25.1
20.1
15.3
10.7
3.7
0.2
7.4
12.3
14.9
21.3
25.9
30.0
1.7228
1.7454
1.7384
1.7741
1.8150
1.8166
1.8342
1.8073
1.8103
1.8029
1.7555
1.7633
1.6902
1.7195
1.7542
1.7637
1.7894
1.8118
1.8317
1.8149
1.8116
1.8013
1.7824
1.7449
1.7633
1.6794
1.3939
1.7454
1.7514
1.7650
1.8052
1.8067
1.8141
1.8160
1.7857
1.7766
1.7428
1.7478
1.6732
90.92
91,51
91.33
92.26
93.24
93.28
93,73
92.95
92.78
92.51
91.28
91.40
89.41
90.42
91.41
91.66
92.41
93.07
93.58
93.23
93.15
92.97
92.48
91.50
92.06
89.85
80.63
90.19
90.35
90.62
91.64
91.60
91.78
91.66
90,81
90.58
89.63
89.67
87.66
78.89
82.92
86.30
89.04
91.99
93.11
93.73
92.57
91.10
89.18
85.73
82,41
77.67
78.24
82.24
85.81
89.42
91.23
92.84
93.23
92.59
91.20
89.14
86.35
83.80
78.37
69.81
81.70
84.85
87.41
90.04
91.40
91.78
90.90
88.73
87.54
83.49
80.65
75.90
Res
Vdir
Average
Cl-256
Vax
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
29.99
25.33
19.92
15.03
10.51
4.76
0.38
6.27
11.47
15.24
20.24
25.34
29.66
ir -,- , ' 87.34
-Iji-t I 91.04
;, --~3*- 1 91-11-
;',-". S 91.76
' ,-<*. s 92.65
, ,,v , 92.82
| , .',.- ! 92.91
i :",{/ 92.59
t-.^- . 92.18
,' .-*?' i 91.85
".'. ~' . 90.80
!. :- 91.05
1" .."' ! 88.97
75.65 I
82.28
85.66
88.62
91.08
92.45 I
92.91 .
92.02
90.34
88.62
85.19
82.28
77.32
JABC1144.WK4
04/19/99
-------
ATTACHMENT P.
Spherical Probe SPH-7 Calibration Data
C1-257
-------
y_
-1
-2 h-
Figure C1-84. Spherical Probe 7 - Avg. (30-60 fps) F1 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-3
-30 -25 -20 -15 -10 -5 0 5 10
Pitch Angle (degrees)
08/06/97 ^11/07/97
Note: Each point is the mean of three replicatesTj
I
15 20 25 30
SPHCMPR.WK4
-------
CM
LL
1.2
1.15 -
1.1
1.05
0.95
Figure C1-85. Spherical Probe 7 - Avg. (30-80 fps) F2 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
-30 -25 -20 -15 -10 -5
30
Pitch Angle (degrees)
08/06/97 .+ 11/07/97
jNote: Each point is the mean of three replicates^
SPHCMPR.WK4
-------
Figure Cl-86. Spherical Probe 7: Percent Difference in F2 (Avg. 30-60 fpsjl
NCSU Pre- (8/6/97) and Post-Test (11/7/97) Wind Tunnel Calibrations |
2 r
1r
o
_C -1
CD
O
c .o
0) z
3
Q -3
-4 I
-6 I u_
-30
-25
-20
-15
-10 -50 5 10
Pitch Angle (degrees)
15
/
20
25 30
[Note: Each point represents the mean of three replicates?|
SPHCMPR.WK4
04/09/99
-------
Table C1-146. Spherical Probe SPH-7 Calibrations at NC State Wind Tunnel
August and November 1997
Pitch
Angle
-30
-25
-20
-16
-10
-5
0
5
10
15
20
25
30
30 fps / August / 30-60 Calibration
Resultant
Angle
^degrees)
Directional
Velocity
(fps)
29,39 I 29.58
Axial
Velocity
(fps)
25.77
24,33 I 30.88 j 28.12
20.14
17.02
11.78
5.72
1,46
3.05
6.42
14.58
19.55
24.77
29.45
31.08
31.52
31.18
30.89
30.84
31.01
30.94
30J9
30.99
30.94
31.02
29.18
30.13
30.51
30.70
30.83
30.91
30.68
29.99
29.21
28.09
27.02
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.34
24.02
19.90
17.22
11.66
4.80
1.20
3.95
7.68
16.12
21.40
25.92
Directional
Velocity
(fps)
30.94
32.21
32.46
32.99
32.76
32.51
Axial
Velocity
(fps)
26.97
29.40
30.52
31.50
32.06
32.35
32.49 32.48
32.62 . 32.48
32.46
32.11
32.26 I 30.98
32.06 29.85
31.99 28.77
30.02 31.62
27.38
% Change
Resultant
Angle
Directional
Velocity
Axial
Velocity
-0.17 4.61 | 4.66
-1.28
-1.20
1.18
-1.03
-16.08
-17.45
29.65
19.62
10.50
9.45
4.65
1.93
4.29 4.54
4.42
4.66
4.58
4.57
5.05 5.07
5,24
5.39
5.36 ; 5.37
5,18
5.08
4.91 4.66
4.08 J 3.31
3,43 ' 2.20
3.42
1.93
2.44
1.35
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / August / 30-60 Calibration
Resultant
Angle
Jdegrees)
29.49
25.63
19.83
13.30
8.23
4.21
1.14
7.83
11.49
15.67
20.59
25.15
29.94
Directional
Velocity
(fps)
55.91
58.76
58.30
57.65
58.35
58.61
58.65
58,81
58.35
58.61
58.43
58.56
57.89
Axial
Velocity
{fps)
48.67
52.98
54.84
56.09
57.74
58.45
58.63
58.26
57.17
56.43
54.69
53,00
50.17
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.44
25.32
19.60
Directional
Velocity
(fps)
58.49
61.26
60.89
13.58 60.47
7.38
3.18
61.39
61.69
1.57 61.78
8.73
61.66
12.24 60.86
17.48
22.32
60.99
60.48
26.20 60.62
30.06
58.73
Axial
Velocity
(fps)
50.95
55.37
57.36
58.77
60.87
61.59
61.75
60.94
59.46
58.18
55.95
54.39
50.83
% Change
Resultant
Angle
-0.18
-1.19
-1.15
2.05
-10.35
-24.34
37.66
11.52
6.52
11.51
8.36
4,14
Directional
Velocity
4.62
4.25
4.45
4.90
5.21
5.25
5.35
4.84
4.30
4.07
3.51
3,52
0.41 i 1.45
Axial
Velocity
4.68
4.51
4.60
4.77
5.42
5.37
5.31
4.60
4.01
3.10
2.30
2.62
1.32
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / August / 30-60 Calibration
Resultant
Angle
Jdegrees)
30.08
25.86
20.73
Directional
Velocity
(fps)
Axial
Velocity
(fps)
84.08 | 72,76
88.26
87.51
15.34 j 87.38
9.02 I 87.82
4.26 88.14
1.77
88.42
7.29 | 88.57
12.37
15.21
20.27
24.14
30.01
87.96
87.66
87.57
87.35
79.42
81.84
84.26
86,73
87.86
88.37
87.85
85.91
84.59
82.14
79.71
86.15 74.60
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.08
Directional
Velocity
(fps)
88.01
Axial
Velocity
(fps)
76.16
25.57 92.01 82.99
20.45 -
15.82
8.28
3.27
2.15
8.30
13.31
16.99
22.06
25.28
30.06
91.36 I 85.60
91.57 I 88.10
92.43 I 91 .46
92.77 | 92.58
93.12 93.06
92.94
91.65
91.37
90.65
90.43
87.33
91.96
89.19
87.38
84.01
81.77
75.58
% Change
Resultant
- Angle
Directional
Velocity
0.00 4.67
-1.11
-1.32
4.25
4.40
3.13 | 4.80
-8.28
-23.29
21.30
13.92
7.62
11.71
8.80
4.70
0.18
5.25
5.25 '
5.33
4.94
4.21
4.24
3,52
3.52
1.37
Axial
Velocity
4.67
4.51
4.59
4.55
5.46
5.37
L 5.31
4.68
3.82
3.30
2.28
2.58
1.32
TABC1146.WK4
Cl-261
- 04/09/99
-------
o
en
U
H
(X,
O
H
o
5z
G
.,(
(30 .
S 1
O
0
Figure Cl-87. Spherical Probe SPH-7 Pre- and Post-Test Calibrations
NC State Wind Tunnel -- August and November 1997
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
30 fps
60 fps
90 fps
TABC1146.WK4
04/09/99
-------
Table C1-47. Spherical SPH-7 Pre-test Computations - 30 fps
Probe: Spherical SPH-7 / Pro-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
08/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
P'lt/"'K YsHAI __ ._ ซnปป-__
itlvtl 1 dW -" "-ซ""-
Rep Angle Angle P4-P5 P1-P2
1 -30 0.8 -0.350 0.173
-25 O.i -0.300 0.193
-20 1.1 -0.290 0.210
-15 1.0 -0.240 0.220
-10 1.0 -0.170 0.225
-5 -0.3 -0.060 0.220
0 -0.3 -0.015 0.219
5 -0.4 0.090 0,220
10 -0.3 0.170 0.215
15 -0.4 0.250 0.205
20 -0.4 0.310 0.192
25 -1.2 0.360 0.170
30 -1.2 0.400 0.158
2 -30 2.4 -0.400 0.167
-25 2.4 -0.350 0.190
-20 0.3 -0.300 0.205
-15 0.0 -0.290 0.217
-10 -0.2 -0.220 0.220
-5 -0.2 -0.160 0.223
0 -0.1 -0.050 0.223
5 -0.1 -0.020 0.224
10 -0.1 0.030 0.222
15 -0.1 0.220 0.216
20 -0.1 0.310 0.202
25 -0.2 0.360 0.193
30 -1.4 0.400 0.167
3 -30 1.5 -0.380 0.170
-25 1.6 -0.340 0.190
-20 1.8 -0.300 0.205
-15 0,4 -0.290 0.220
-10 0.0 -0.220 0.223
-5 -0.1 -0.120 0.223
0 -0.2 -0.060 0.223
5 0.0 -0.020 0.226
10 0.0 0.030 0.225
15 0.5 0.220 0.216
20 -0.2 0.310 0.202
25 -0.6 0.360 0.185
30 -0.5 0.410 0.175
Gas
Temp, F
78
78
78
78
78
78
77
77
77
77
77
77
77
87
86
86
85
85
85
85
84
84
84 .
84
84
84
85
85
85
85
85
85
85
84
84
84
84
84
84
Average
29.82
0.00
29.82
28.84
28.73
NA
0
29.32
0.6
16.0
16.0
9.66
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-7
1.00
0.00
20.9
1
3.49%
80 F
61
Volumetric Air Flow Rate,
SCFM Wet:
ซ ANGLES ป
Pitch
-28.0
-21.8
-19.2
-14.4
-9.4
-2.1
0.9
7.9
12.1
15.8
20.1
26.4
30.0
-30.0
-25.8
-20.5
-18.5
-13.0
-8.8
-1.4
0.6
3.6
14.0
19.3
23.4
29.4
-30.0
-25.2
-20.5
-18.2
-12.8
-6.2
-2.0
0.6
3.6
14.0
19.3
24.5
28.9
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
28.0
21.9
19.3
14.4
9.5
2.1
1.0
7.9
12.1
15.8
20.2
26.4
30.0
30.1
25.9
20.5
18.5
13.0
8.9
1.4
0.6
3.6
14.0
19.3
23.4
29.5
30.0
25.2
20.6
18.2
12.8
6.2
2.1
0.6
3.6
14.0
19.3
24.5
28.9
Res
29.39
24.33
20.14
17.02
11.78
5.72
1.46
3.05
6.42
14.58
19.55
24.77
29.45
Pt-Ps
0.2016
0.1999
0.2098
0.2108
0.2094
0.2040
0.2031
0.2069
0.2069
0.2032
0.2027
0.1992
0.1999
0.2031
0.2105
0.2080
0.2154
0.2090
0.2075
0.2068
0.2078
0.2060
0.2102
0.2105
0.2140
0.2088
0.1629
0.2073
0.2080
0.2177
0.2116
0.2069
0.2067
0.2096
0.2088
0.2102
0.2105
0.2083
0.2162
,~_" iฃ&a> ป.
*"***S?ir
"- \~^v%"
-~-r
;!' '""'
v. 'rr"~,~~
, Vjf*1",*"
," r *- -
* Hf.""*" *
"-
<8-- ^ "
0!
Velocities,
Flow Dir
30.42
30.29
31.03
31.11
31.01
30.60
30.51
30.79
30.79
30.51
30.47
30.21
30.26
30.79
31.31
31.12
31.64
31.17
31.06
31.01
31.05
30.92
31.23
31.26
31.51
31.13 .
27.52
31.05
31.10
31.82
31.37
31.02
31.00
31.19
31.13
31.23
31.26
31.09
31.68
Vdir
i 29.58
c 30.88
' 31.08
31.52
, 31.18
; 30.89
30.84
' 31.01
, 30.94
30.99
- 30.99
30.94
31.02
ft/sec
Axial
26.85
28.11
29.29
30.13
30.58
30.58
30.50
30.50
30.10
29.35
28.60
27.05
26.20
26.64
28.16
29.15
30.01
30.37
30.69
31.00
31.05
30.86
30.31
29.51
28.92
27.10
23.83
28.09
29.11
30.23
30.58
30.84
30.98
31.19
31.07
30.31
29.51
28.30
27.74
Vax
25.77
28.12
29.18
30.13
30.51
30.70
30.83
30.91
30.68
29.99
29.21 |
28.09
27.02
C1-263
TABC1147.WK4
04/09/99
-------
Table C1-148, Spherical SPH-7 Post-test Computations - 30 fps
Probe: Spherical SPH-7 / Post-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.82
0.00
29.82
28.84
28.73
NA
0
30.53
0.6
16.4
16.4
9.76
Probe ID: SPH-7
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.49%
Avg Temp: 80 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
0
Readings, in.H2O
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
0.8
0.9
1.1
1.0
1.0
-0,3
-0.3
-0.4
-0.3
-0.4
-0.4
-1.2
-1.2
2.4
2.4
0.3
0.0
-0.2
-0.2
-0.1
-0.1
-0.1
-0.1
-0.1
-0.2
-1.4
1.5
1.6
1.8
0.4
0.0
-0.1
-0.2
0.0
0.0
0.5
-0.2
-0.6
-0.5
P4-P5
-0.350
-0.300
-0.290
-0.240
-0.170
-0.060
-0.015
0.090
0.170
0.250
0.310
0.360
0.400
-0.400
-0.350
-0.300
-0.290
-0.220
-0.160
-0.050
-0.020
0.030
0.220
0.310
0.360
0.400
-0.380
-0.340
-0.300
-0.290
-0.220
-0.120
-0.060
-0.020
0.030
0.220
0.310
0.360
0.410
P1-P2
0.173
0.193
0.210
0.220
0.225
0.220
0.219
0.220
0.215
0.205
0.192
0.170
0.158
0.167
0.190
0.205
0.217
0.220
0.223
0.223
0.224
0.222
0.216
0.202
0.193
0.167
0.170
0.190
0.205
0.220
0.223
0.223
0.223
0.226
0.225
0.216
0.202
0.185
0.175
Gas
Temp, F
78
78
78
78
78
78
77
77
77
77
77
77
77
87
86
86
85
85
85
85
84
84
84
84
84
84
85
85
85
85
85
85
85
84
84
84
84
84
84
Average
ซ ANGLES ป
Pitch
-27.9
.-21.5
-19.1
-15.0
-8.7
-1.2
1.9
8.7
13.0
17.6
22.0
27.5
30.0
-30.0
-25.5
-20.2
-18.5
-13.2
-8.1
-0.5
1.5
5.0
15.4
21.1
24.6
30.0
-30.0
-24.8
-20.2
-18.2
-13.0
-5.1
-1.2
1.6
5.0
15.4
21.1
25.5
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
27.9
21.5
19.1
15.0
8.8
1.3
1.9
8.8
13.0
17.6
22.0
27.6
30.0
30.1
25.6
20.3
18.5
13.2
8.1
0.5
1.5
5.0
15.4
21.1
24.6
30.0
30.0
24.9
20.3
18.2
13.0
5.1
1.2
1.6
5.0
15.4
21.1
25.5
30.0
Res
29.34 '
24.02
19.90
17.22
11.66
4.80
1.20
3.95
7.68
16.12
21.40
25.92
30.02
Pt-Ps
0.2199
0.2176
0.2293
0.2315
0.2321
0.2264
0.2254
0.2274
0.2248
0.2198
0.2173
0.2122
0.2052
0.2223
0
.2288
0.2265
0.2356
0.2301
0.2298
0.2296
0.2306
0
0
.2282
.2278
0.2250
0.2292
0
0
.2169
.1739
0.2253
0.2265
0.2383
0.2330
0.2286
0.2295
0.2326
0.2312
0.2278
0
.2250
0.2232
0
L
-
,.
JL
.2273
"" , -
' ~ t
--':ป," , *
l" ;
1 ^
Velocities, ft/sec
Flow Dir
31.77
31.60
32,44
32.60
32.64
32.23
32.13
32,28
32.09
31.73
31.55
31.18
30.66
32.21
32.64
32.48
33.10
32.71
32.69
32.67
32.71
32.54
32.52
32.31
32.62
31.73
28.84
32.37
32.45
33.29
32.92
32.60
32.66
32.86
32.76
32.52
32.31
32.19
32.48
Vdir
30.94
32.21
32.46
32.99
32.76
32.51
32.49
32.62
32.46
32.26
32.06
31.99
31.62
Axial
28.08
29.40
30.65
31.49
32.26
32.22
32.12
31.90
31.27
30.24
29.26
27.64
26.55
27.87
29.43
30.47
31.39
31.84
32.36
32.67
32.70
32.42
31.36
30.14
29.65
27.47
24.97
29.36
30.43
31.62
32.08
32.48
32.66
32.85
32.63
31.36
30.14
29.04
28.13
Vax
1557 i]
29.40
30.52 1
31.50 I
32.06 i
32.35 I
32.48 |
32.48 I
32.11 J
30.98 i
29.85 I
28,77 !
27.38 !
C1-264
TABC1148.WK4
04/09/99
-------
Table C1-149. Spherical SPH-7 Pro-test Computations - 60 fps
Probe: Spherical SPH-7 / Pro-Test 30-60 Calibration
Velocity Point: 60 fps Cal Date:
08/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.82
0.00
29.82
28.84
28.73
NA
0
55.16
0.9
16.3
16.3
9.35
Probe ID: SPH-7
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.59%
Avg Temp: 81 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
0
Readings, in.H2O
Piffh
"HWI
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
ysttfj
i aW
Angle
1.9
2.0
0.9
0,4
0.0
0.0
0.0
-0.3-
-0.8
-0.9
-1.3
-1.4
-2.5
1,6
1,6
1.2
0.0
0.0
-0,1
-0.1
-0.6
-0.8
-0.9
-1.1
-1.1
-1.5
2.1
1,3
1.1
0.4
-0.2
-0.3
-0.2
-0.2
-0.7
-0,8
-1.0
-1.0
-1.8
P4-P5
-1.250
-1.200
-1.000
-0.800
-0.600
-0.400
-0.150
0.300
0.400
0.860
1.100
1.300
1.450
-1.330
-1.250
-1.050
-0.700
-0.500
-0,300
-0.020
0.350
0.650
0.900
1.160
1.300
1.400
-1.330
-1,250
-1.050
-0.800
-0.500
-0.280
-0.040
0.320
0.600
0.950
1.160
1.300
1.400
P1-P2
0.600
0.670
0.730
0.750
0.780
0,800
0.800
0.780
0.760
0.750
0.700
0.650
0.570
0,620
0.680
0.730
0,760
0.790
0,800
0.800
0.800
0.770
0.750
0.680
0.650
0.580
0.600
0.680
0.730
0.750
0.800
0.800
0.800
0.800
0.770
0.750
0.700
0,650
0.570
f"5ge
VJao
Temp, F
77
77
77
78
78
78
79
79
79
79
80
80
80
86
86
86
86
86
85
85
85
85
85
85
85
84
86
86
86
86
86
86
86
86
85
85
85
85
85
Average
ซ AN.
\n\ cc *ป
**^> rtlNwi_t_w "
Pitch Resultant
-28,8
-25.2
-19.0
-14.0
-9.6
-5.6
-0.8
7.4
9.9
15.0
19.7
25.1
30.0
-29.5
-25.8
-20.2
-11.9
-7.6
-3.7
1.5
8.3
12,5
15.6
21.3
25.1
29.6
-30.0
-25.8
-20.2
-14.0
-7.5
-3.3
1.2
7.7
12.0
16.3
20.7
25.1
. 30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
28.8
25.3
19.1
14.0
9.6
5.6
0.8
7.4
9.9
15.0
19.7
25.2
30.1
29.6
25.8
20.2
11.9
7.6
3.7
1.5
8.4
12.6
15.6
21,4
25.2
29.7
30.1
25.8
20.2
14,0
7.5
3.3
1.2
7,7
12.0
16.3
20.7
25.1
30,0
Res
29.49
25.63
19.83
13,30
8,23
4.21
1.14
7.83
11.49
15.67
20.59
25.15
29.94
Pt-Ps
0.7108
0.7313
0.7281
0.7171
0.7262
0
7418
0.7418
0.7323
0.7216
0.7345
0
7336
0.7397
0.721 1
0.7467
0.7525
0.7363
0.7166
0.7340
0.7415
0.7421
0.7542
0.7429
0.7410
0,7309
0
7397
0.7283
0
0
5737
7525
0.7363
0
0
0
7171
7432
7415
0.7420
0
0
7520
7405
0.7491
0
0
0
j
E '
y
t
rt ,
t-
ซ":
7452
7397
7211
'.-";.? -;ซ
*|S3p>,l
'*?%?
,.|j
. _ -
I1"* ' ,
\/alc-i(-ซ!ti*
-,o- ft/r-Qr-
VSlUCIUto, IW*>Cil>
Flow Dir Axial
57.06
57.88
57.76
57.37
57.73
58.35
58.41
58.03
57.60
58.12
58.13
58.38
57.64
58.98
59.20
58.57
57.78
58.47
58.72
58.74
59.22
58.77
58.70
58.30
58.65
58.14
51.69
59.20
58.57
57.80
58.84
58.77
58.79
59.18
58,68
59.02
58,86
58.65
57.90
Vdir
55,91
58.76
58.30
57.65
58.35
58.61
58.65
58.81
58.35
58.61
58.43
58.56
57.89
49.99
52.35
54.59
55.66
56.92
58.07
58.40
57.54
56.75
56.13
54.73
52.84
49.87
51.29
53.30
54.96
56.54
57.96
58.59
58.72
58.59
57.37
56.53
54.29
53.09
50.51
44.74
53.30
54.96
56.07
58.34
58.67
58.78
58.65
57.39
56.63
55.05
53.09
50.12
Vax
48.67 i
52.98
54.84
56.09 i
57.74
58.45 I
58.63 !
58.26
57.17
56,43
54.69 I
53.00 !
50.17 !
TABC1149.WK4
Cl-265
04/09/99
-------
Table C1-150. Spherical SPH-7 Post-test Computations - 60 fps
Probe: Spherical SPH-7 / Post-fast 30-60 Calibration
Velocity Point: 60 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ibflb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
Pltf"*H Y*TU1/ in mi i i --nr .. n n
Rep Angte Angle P4-P5 P1-P2
1 -30 1.9 -1.250 0.600
-25 2.0 -1.200 0.670
-20 0.9 -1.00.0 0.730
-15 0.4 -0.800 0.750
-10 0.0 -0.600 0.780
-5 0.0 -0.400 0.800
0 0.0 -0.150 0.800
5 -0.3 0.300 0.780
10 -0.8 0.400 0.760
15 -0.9 0.860 0.750
20 -1.3 1.100 0.700
25 -1.4 1.300 0.650
30 -2.5 1.450 0.570
2 -30 1.6 -1.330 0.620
-25 1.6 -1.250 0.680
-20 1.2 -1.050 0.730
-15 0.0 -0.700 0.760
-10 0.0 -0.500 0.790
-5 -0.1 -0.300 0.800
0 -0.1 -0.020 0.800
5 -0.6 0.350 0.800
10 -0.8 0.650 0.770
15 -0.9 0.900 0.750
20 -1.1 1.160 0.680
25 -1.1 1.300 0.650
30 -1.5 1.400 0.580
3 -30 2.1 -1,330 0.600
-25 1.3 -1,250 0.680
-20 1.1 -1.050 0.730
-15 0.4 -0.800 0.750
-10 -0.2 -0.500 0.800
-5 -0.3 -0.280 0.800
0 -0.2 -0.040 0.800
5 -0.2 0.320 0.800
10 -0.7 0.600 0.770
15 -0.8 0.950 0.750
20 -1.0 1.160 0.700
25 -1.0 1.300 0.650
30 -1.8 1.400 0.570
f*2>C
Temp, F
77
77
77
78
78
78
79
79
79
79
80
80
80
86
86
86
86
86
85
85
85
85
85
85
85
84
86
86
86
86
86
86
86
86
85
85
85
85
85
Average
29.82
0.00
29.82
28.84
28.73
NA
0
57.42
0.9
16.7
16.7
9.51
^*r AN
Pitch
-28.7
-24.9
-18.9
-14.5
-8.9
-4.5
0.0
8.4
10.3
16.8
21.5
26.2
30.0
-29.5
-25.5
-19.9
-11.7
-6.7
-2.7
2.5
9.1
13.5
17.4
22.9
26.2
30.0
-30.0
-25.5
-19.9
-14.5
-6.5
-2.3
2.2
8.6
12.9
18.2
22.4
26.2
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-7
1.00
0.00
20.9
1
3.59%
81 F
61
Volumetric Air Flow Rate,
SCFM Wซt:
i/**1 CO ^">
Resultant
28.7
24.9
18.9
14.5
8.9
4,5
0.0
8.4
10.3
16.8
21.5
26.2
30.1
29.5
25.5
19.9
11.7
6.7
2.7
2.5
9.2
13.6
17.4
23.0
26.2
30.0
30.1
25.5
19.9
14.5
6.5
2.4
2.2
8.6
12.9
18.2
22.4
26.2
30.0
Res
29.44
25.32
19.60
13.58
7.38
3.18
1.57
8.73
12.24
17.48
22.32
26.20
30.06
Pt-Ps
0.7762
0.7948
0.7958
0.7880
0.8049
0.8204
0.8241
0.8059
0.7878
0.7994
0.7853
0.7928
0.7402
0.8163
0.8178
0.8026
0.7906
0.8121
0.8219
0.8231
0.8275
0.8064
0.8028
0.7834
0.7928
0.7532
0.6304
0.8178
0.8026
0.7880
0.8222
0.8222
0.8232
0.8269
0.8047
0.8071
0.7988
0.7928
0.7402
* -Sife.
zrrff .
-" r
*~ '
^ '.**"<
_.,
?. ' .-ซ-4:,'
.* i
i:
o.
\ /jai/ii tf tt-ie-
VtJiUCiUGS,
Flow Dir
59.63
60.34
60.38
60.14
60.78
61.37
61.56
60.88
60.19
60.63
60.15
60.43
58.40
61.66
61,72
61.14
60.69
61.50
61.82
61.86
62.03
61.23
61.10
60.35
60.71
59.13
54.19
61.72
61.14
60.59
61.89
61.89
61.93
62.06
61.17
61.26
60.94
60.71
58.67
Vdir
58.49
61.26
60.89
60.47
61.39
61.69
61.78
61.66
60.86
60.99
60.48
60.62
58.73
ft/car*
ll/OC.L'
Axial
52.29
54.72
57.11
58.22
60.04
61.18
61.56
60.22
59.22
58.03
55.95
54.22
50.53
53.66
55.69
57.48
59.42
61.09
61.75
61.80
61.24
59.53
58.29
55.57
54.48
51.19
46.90
55.70
57.48
58.66
61.48
61.83
61.88
61.36
59.63
58.20
56.33
54.48
50.78
Vax
50.S5
55.37
57.36
58.77
60.87
61.59
61.75
60.94
59.46
58.18
55.95 ;
54.39
50.83 I
TABC1150.WK4
C1-266
04/09/99
-------
Table C1-151. Spherical SPH-7 Pre-test Computations - 90 fps
Probe: Spherical SPH-7 / Pro-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
08/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
nit^u. \/m.i f~* if*
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.82
0.00
29.82
28.84
28.73
NA
0
82.77
0.9
16.6
16.6
9.22
ซ AKIfSI P<5 ป
*ป^ riJNwl_co *"*
Pitch. Resultant
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-7
1.00
0.00
20.9
1
4.66%
89 _F
61 ~
Volumetric Air Flow Rate,
SCFM Wet:
|
Pt-Ps
0
\/Q!/"i?-ซj$!eปeซ
VSlGvluGS,
Flow Dir
ft/CAf
iUo"v-
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.3
2.0
0.9
0.2
0.0
-0.2
-0.2
-0.6
-0.7
-0.4
-1.4
-0.9
-2.1
2.2
1.3
1.0
0.4
-0.1
-0.1
0.0
-0.5
-0.8
-0.8
-1.1
-1.3
-2.2
2.2
1.5
1.2
0.0
-0.1
-0.1
-0.3
-0.3
-0.9
-0.8
-1.3
-1.1
-1.7
-2.950
-2.700
-2.250
-2.000
-1.300
-0.600
-0.070
0.700
1.400
2.000
2.550
2.800
3.100
-3.000
-2.800
-2.420
-1.950
-1.350
-1.000
-0.550
0.600
1.400
1.900
2.450
2.750
3.050
-2.950
-2.750
-2.400
-1.850
-1.200
-0.600
-0.060
0.700
1.400
1.900
2.500
2.800
3.050
1.330
1.500
1.600
1.660
1.750
1.770
1.770
1.770
1.700
1.660
1.530
1.430
1.250
1.320
1.480
1.600
1.680
1.760
1.770
1.800
1.780
1.700
1.660
1.550
1.480
1.250
1.330
1.500
1.590
1.700
1.770
1.800
1.800
1.780
1.720
1.670
1.550
1.440
1.250
89
89
89
88
88
87
87
86
85
85
84
83
82
89
89
90
90
91
91
92
93
93
93
94
94
95
98
98
98
97
97
97
97
96
96
96
95
95.
95
-30.0
-25.3
-19.7
-16.2
-9.2
-3.1
1.3
7.6
12.4
15.7
20.8
24.6
30.0
-30.0
-26.4
-21.2
-15.5
-9.6
-6.6
-2.6
6.6
12.4
15.0
19.8
23.3
29.9
-30.0
-25.7
-21.2
-14.3
-8.3
-3.0
1.4
7.6
12.3
14.9
20.1
24.4
29.9
30.1
25.4
19.7
16.2
9.2
3.1
1.3
7.6
12.4
15.7
20.9
24.6
30.1
30.1
26.5
21.3
15.5
9.6
6.6
2.6
6.6
12.4
15.0
19.8
23.3
30.0
30.1
25.7
21.2
14.3
8.3
3.0
1.4
7.6
12.3
15.0
20.2
24.5
30.0
1.6178
1.6416
1.6046
1.6149
1.6287
1.6407
1.6418
1.6631
1.6385
1.6414
1.6318
1.6135
1.5814
1.6057
1.6630
1.6413
1.6234
1.6386
1.6429
1.6686
1.6647
1.6385
1.6253
1.6266
1.6385
1.5788
1.2939
1.6575
1.6299
1.6288
1.6457 '
1.6685
1.6696
1.6722
1..6570
1.6345
1.6355
1.6206
1.5788
87.05
87.69
86.69
86.89
87.26
87.50
87.53
88.02
87.28
87.36
87.02
86.46
85.51
86.72
88.26
87.76
87.28
87.76
87.88
88.65
88.62
87.92
87.57
87.68
88.00
86.46
78.48
88.83
88.09
87.98
88.43
89.04
89.07
89.06
88.66
88.05
88.00
87.60
86.46
75.33
79.23
81.62
83.43
86.13
87.37
87.51
87.24
85.25
84.12
81.31
78.59
74.01
75.05
79.01
81.78
84.11
86.54
87.30
88.55
88.03
85.87
84.58
82.51
80.80
74.88
67.92
80.01
82.11
85.24
87.51
88.92
89.05
88.28
86.62
85.07
82.60
79.74
74.90
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Res
30.08
25.86
20.73
15.34
9.02
4.26
1.77
7.29
12.37
15.21
20.27
24.14
30.01
Vdir
? '- '- . 84.08
"r-r~" >--:_ \ 88.26
>-, - f'--- I 87.51
' .- - : 87.38
" L. . ', ". 87.82
88.14
\X . ' 88.42
r> .-;?-'" * 88.57
-':' t-r 87.96
"--" ' ' 87.66
". '.'!-"'> 87.57
; ' lr' 87.35
i .: . - 86.15
Vax
72.76
79.42
81.84
84,26
86.73
87.86
88.37
87.85
85.91
84,59
82.14
79.71 :
74JCLJ
TABC1151.WK4
C1-267.
04/09/99
-------
Table C1-152. Spherical SPH-7 Post-test Computations - 90 fps
Probe: Spherical SPH-7 / Post-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.82
0.00
29.82
28.84
28.73
NA
0
86.14
0.9
17.0
17.0
9.33
Pitch
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-7
1.00
0.00
20.9
1
4.66%
89 F
61
Volumetric Air Flow Rate,
SCFM Wet:
L
Resultant Pt-Ps
0
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.3
2.0
0.9
0.2
0.0
-0.2
-0.2
-0.6
-0.7
-0.4
-1.4
-0.9
-2.1
2.2
1.3
1.0
0.4
-0.1
-0.1
0.0
-0.5
-0.8
-0.8
-1,1
-1.3
-2.2
2.2
1.5
1.2
0.0
-0.1
-0.1
-0.3
'-0.3
-0.9
-0.8
-1.3
-1.1
-1.7
-2.950
-2.700
-2.250
-2.000
-1.300
-0.600
-0.070
0.700
1.400
2.000
2.550
2.800
3.100
-3.000
-2.800
-2.420
-1.950
-1.350
-1.000
-0.550
0.600
1.400
1.900
2.450
2.750
3.050
-2.950
-2.750
-2.400
-1.850
-1.200
-0.600
-0.060
0.700
1.400
1.900
2.500
2.800
3.050
1.330
1.500
1.600
1.660
1.750
1.770
1.770
1.770
1.700
1.660
1.530
1.430
1.250
1.320
1.480
1.600
1.680
1.760
1.770
1.800
1.780
1.700
1.660
1.550
1.480
1.250
1.330
1.500
1.590
1.700
1.770
1.800
1.800
1.780
1.720
1.670
1.550
1.440
1.250
89
89
89
88
88
87
87
86
85
85
84
83
82
89
89
90
90
91
91
92
93
93
93
. 94
94
95
98
98
98
97
97
97
97
96
96
96
95
95
95
-30.0
-25.0
-19.4
-16.6
-8.5
-2.2
2.3
8.6
13.3
17.5
22.5
25.7
30.0
-30.0
-26.2
-20.9
-16.0
-8.9
-5.5
-1.7
7.8
13.3
16.8
21.6
24.6
30.0
-30.0
-25.4
-20.9
-14.9
-7.4
-2.1
2.4
8.5
13.2
16.7
21.9
25.5
30.0
30.1
25.1
19.5
16.6
8.5
2.2
2.3
8.6
13.3
17.5
22.6
25.7
30.1
30.1
26.2
21.0
16.0
8.9
5.5
1.7
7.8
13.3
16.8
21.6
24.6
30.1
30.1
25.5
20.9
14.9
7.4
2.1
2.4
8.5
13.2
16.7
22.0
25.5
30.0
1.7708
1.7828
1.7522
1.7725
1.8046
1.8194
1.8213
1.8292
1.7792
1.7775
1.7491
1.7296
1.6233
1.7575
1.8093
1.7873
1.7839
1.8162
1.8159
1.8511
1.8373
1.7792
1.7689
1.7421
1.7554
1.6233
1.4202
1.8011
1.7749
1.7889
1.8218
1.8504
1.8521
1.8395
1.7996
1.7786
1.7533
1.7370
1.6233
91.07
91.38
90.59
91.03
91.85
92.14
92.19
92.31
90.95
90.91
90.10
89.51
86.64
90.73
92.06
91.58
91.49
92.40
92.39
93.37
93.10
91.62
91.35
90.74
91.09
87.67
82.22
92.60
91.92
92.20
93.05
93.77
93.81
93.41
92.39
91.85
91.12
90.69
87.67
78.81
82.78
85.41
87.24
90.84
92.08
92.12
91.27
88.50
86.72
83.20
80.66
74.98
78.51
82.59
85.52
87.96
91.28
91.97
93.33
92.24
89.15
87.46
84.35
82.83
75.87
71.16
83.61
85.86
89.09
92.27
93.71
93.73
92.38
89.93
87.97
84.49
81.82
75.89
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
C1-268
Vax
30*38
25.57
20.45
15.82
8.28
3.27
2.15
8.30
13.31
16.99
22.06
25.28
30.06
, - '_ ,
"r t '-T ~~
fa ',ib' i " j** f
KJr, 'X
], ,
_>,
:' r '
'- .V- j
*' ,,,'
i : :
88.01
92.01
91.36
91.57
92.43
92.77
93.12
92.94
91.65
91.37
90.65
90.43
87.33
76.16
82.99
85.60
88.10
91.46
92.58
93.06
91.96
89.19
87.38
84.01
81.77
75.58 !
TABC1152.WK4
04/09/99
-------
ATTACHMENT Q.
Spherical Probe SPH-8 Calibration Data
C1-269
-------
o
Figure C1-88. Spherical Probe 8 - Avg. (30-60 fps) F1 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
LL.
-2
-4
08/06/97 ^11/07/97
Note: Each point is the mean of three replicates. I
-30 -25 -20 -15 -10 -5 ' 0 5 10 15 20 25 30
Pitch Angle (degrees)
SPHCMPR.WK4
-------
Figure C1-89. Spherical Probe 8 - Avg. (30-60 fps) F2 vs. Pitch Angle
Pre- and Post Test Wind Tunnel Calibration
1.25
-10 -5 05 10
Pitch Angle (degrees)
08/06/97 ^11/07/97
Note: Each point is the mean of three replicates.
1
15 20 25
i
30
SPHCMPR.WK4
-------
Figure Cl-90. Spherical Probe 8: Percent Difference in F2 (Avg. 30-60 fps)
NCSU Pre- (8/6/97) and Post-Test (11/7/97) Wind Tunnel Calibrations
DJ
LJL
E -*1
8
c _
1
b
-3
-4
-5
-6
-30
-25
-20
-15 -10 -5 0 5 10
Pitch Angle (degrees)
15
20
25
30
Note: Each point represents the mean of three replicates. I
SPHCMPR.WK4
04/09/99
-------
Table C1-153. Spherical Probe SPH-8 Calibrations at NC State Wind Tunnel
August and November 1997
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
30.06
25.80
19.45
15.93
9.86
6.79
2.08
3.92
7.46
14.56
19.85
24.75
29.59
Directional
Velocity
(fps)
30.10
31.58
31.30
31.58
31.57
31.51
31.41
31.43
31.34
31.39
31.31
31.40
31.29
Axial
Velocity
(fps)
26.05
28.37
29.52
30.36
30.94
31.19
31.39
31.33
31.03
30.38
29.45
28.51
27.21
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.21
24.92
19.20
15.90
9.77
6.43
2.17
5.29
9.65
17.26
21.77
Directional
Velocity
(fps)
30.94
32.51
32.63
32.85
32.90
32.93
32.91
32.97
32.87
32.86
32.57
26.80 32.72
30.04 31,97
Axial
Velocity
(fps)
27.00
29.47
30.81
31.59
32.26
32.63
32.88
32.78
32.33
31.38
30.25
29.21
27.67
% Change
Resultant
Angle
Directional
Velocity
-2.83 I 2.77
-3.40 ! 2.96 '
-1.27 I 4.22
-0.21
-0.86
-5.22
4.55
34.90
4.02
4.23
4.52
4.75
4.90
29.28 4.88
18.55 I 4.69
9.67 4.04
8.26 4.22
1.52 2.17
Axial
Velocity
3.65
3.89
4.38
4.03
4.25
4.62
4.74
4.62
4.20
, 3.30
2.72
2.44
1.71
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
30.11 | 56.11
30.10 62.62
20.52 I 58.79
14.39
9.12
4.04
2.01
6.14
11.96
15.57
20.27
25.21
29.87
58.33
58.57
58.65
58.56
58.62
58.67
58.71
58.72
58.60
Axial
Velocity
(fps)
48.54
54.18
55.06
56.50
57.83
58.48
58.52
58.26
57.39
56.56
55.08
53.02
58.35 50.60
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.11
26.51
20.32
14.40
8.53
3.76
2.36
8.40
15.09
18.06
22.20
Directional
Velocity
(fps)
58.21
62.42
61.30
60.63
61.16
61.31
61.38
61.49
61.41
61.46
61.09
27.26 | 61.16
30.05
59.46
Axial
Velocity
(fps)
50.35
55.86
57.49
58.73
60.48
61.15
61.33
60.78
59.29
58.43
56.55
54.36
51.47
% Change
Resultant
Angle
0.00
-11.92
-0.98
0.10
-6,40
-6.93
17.69
36.67
26.13
16.02
9.53
Directional
Velocity
3.74
-0.32
4.27
3.94
4.42
4.53
4.82
4.91
4.68
4.69
4.03
Axial
Velocity
3.74
3.10
4.41
3.93
4.59
4.57
4.79
4.33
3.31
3.32
2.68
8.13 i 4.37 j 2.54
0.59
1.90 | 1.72
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / August / 30-60 Calibration
Resultant
Angle
(degrees)
30.10
30.06
20.26
15.13
10.32
4.00
Directional
Velocity
(fps)
82.96
92.46
87,49
86.83
87.27
87.21
0.86 i 87.21
6.24
11.17
14.85
19.90
24.34 |
29.35
87.37
87.26
86.98
86.40
85.98
85.92
Axial
Velocity
(fps)
71.77
80.02
82.07
83.82
85.86
86.98
87.20
L 86.81
85.60
84.08
81,24
78.33
74.89
90 fps / November / 30-60 Calibration
Resultant
Angle
Jdegrees)
30.10
26.98
20.03
15.20
9.83
3.72
1.03
8,48
14.28
17.52
21.83
26.32
30.09
Directional
Velocity
(fps) -
86.07
92.70
91.20
90.24
91.10
91.15
91.42
91.65
91.35
91.18
89.91
89.57
88.03
Axial
Velocity
(fps)
74.46
82.61
85.68
87.08
89.76
90.94
91.41
90.54
, 88.52
86.94
83.46
80.29
76.17
% Change
Resultant
Angle
0.00
-10.24
-1.14
0.43
-4.71
-6.93
20.61
35.82
27.78
17.97
9.72
8.12
2.53
Directional
Velocity
3.75
0.26
4.25
3.92
4.38
4.52
4.83
4.90
4.68
4.82
4.07
4.18
2.46
Axial
Velocity
3.75
3.23
4.40
3.89
4.54
4.55
4.82
4.30
3.41
3.41
2.74
2.50
1.71
TABC1153.WK4
C1-273
- 04/09/99
-------
6
* * c
co S
O J
PM
o
H
I-* 4
f\ i ฐ
"< 3
O
>
3 2
c
4)
I 1
u
"o
I Figure Cl-91. Spherical Probe SPH-8 Pre- and Post-Test Calibrations
I , NC State Wind Tunnel August and November 1997
'-_ .^^r^^^^X
v-^ // A A
% ^^v
r "X-
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25
Pitch Angle (degrees)
\
u 30 fps
,0. 60 fps
.^ 90 ^3s
i
30
TABC1153.WK4
04/09/99
-------
Table C1-1S4. Spherical SPH-8 Pro-test Computations - 30 fps
Probe: Spherical SPH-8 / Pro-Test 30-60 Calibration
Velocity Point: 30 fps Cai Date:
08/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
Pitfh Vau* , ^.u:^.. _
I H\*f I I CIW :ซ^J-- -
Rep Anqle Angle P4-P5 P1-P2
1 -30 0.8 -0,350 0,163
-25 0.8 -0.330 0,180
-20 -0.3 -0.300 0.195
-15 -0.3 -0.250 0.205
-10 -0,3 -0,080 0.214
-5 -0.3 -0.060 0,219
0 -0.2 -0.020 0.220
5 -0.2 0.060 0.218
10 -1.3 0.150 0.210
15 -1.4 0.230 0.203
20 -1.7 0.300 0.195
25 -1.7 0.360 0.182
30 -1.7 0.400 0.165
2 -30 2.1 -0.400 0.153
-25 2.2 -0.350 0.170
-20 1.2 -0.310 0.193
-15 1,2 -0.290 0.208
-10 -0.1 -0.260 0,213
-5 0.3 -0.200 0.215
0 0.3 -0.090 0.220
5 0.4 -0,020 0.221
10 0.0 0.030 0.220
15 0,1 0.200 0.216
20 0.1 0.280 0,200
25 -1.1 0.350 0.191
30 -0.9 0.400 0.175
3 -30 2,8 -0,380 0.160
-25 2.8 -0.350 0.179
-20 1.5 -0.310 0.196
-15 1.5 -0.290 0.205
-10 0.8 -0.250 0.215
-5 0.7 -0.180 0.220
0 0.2 -0.080 0.220
5 0.3 -0.010 0.220
10 -0.2 0.030 0.220
15 -0.2 0.190 0.214
20 -0.4 0.300 0.203
25 -0.6 0.350 0.191
30 -1.9 0.400 0.170
Gas
Temp, F
88
88
88
88
88
88
88
88
89
89
89
89
89
95
95
95
94
94
94
93
93
93
93
92
92
92
92
92
92
91
91
91
91
91
91
91
91
91
90
Average
29.83
0.00
29.83
28.84
28.73
NA
0
29.67
0.9
16,1
16.2
9.73
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-8
1.00
0.00
20.9
1
4.58%
89
61
F
Volumetric Air Flow Rate,
SCFM Wet:
ซ ANGLES ป
Pitch
-30.0
-22.8
-18.8
-14.2
-1.9
-0.5
2.1
6.9
11.9
16.1
20.6
25.8
30.0
-30.0
-30.0
-19.9
-16.6
-14.2
-10.7
-2.4
2.1
5.2
14.0
19.0
24.2
29.0
-30.0
-24.4
-19.5
-16.9
-13.5
-9.0
-1.7
2.7
5.2
13.6
19.9
24,2
29.7
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
30.0
22,8
18.8
14.2
1.9
0.6
2,1
6,9
11.9
16.2
20.7
25,9
30.0
30.1
30,1
19.9
16.6
14,2
10.7
2,4
2.1
5.2
14.0
19.0
24.2
29.0
30.1
24.5
19.6
17.0
13.5
9.1
1.8
2.7
5.2
13.6
19,9
24.2
29.7
Res
30.06
25.80
19.45
15.93
: 9.86
6,79
2,08
3.92
7.46
14.56
19.85
24.75
29.59
Pt-Ps
0.2157
0.2034
0.2074
0.2074
0.2044
0.2089
0.2100
0.2098 -
0.2058
0.2042
0.2061
0.2070
0.2042
0.2024
0.2249
0.2076
0.2159
0.2156
0.2110
0.2102
0,2110
0.2106
0.2136
0.2076
0.2114
0.2123
0.1619
0,2076
0.2099
0.2135
0.2163
0.2138
0.2101
0.2101
0.2106
0.2113
0.2126
0.2114
0.2091
" _"_,zr']~ _
~ t^ f^t.1-
* ' ฃ ~3
>j _? -
- ^- ".
0!
Velocities
Flow Dir
31.75
30.83
31.13
31.14
30.91
31,25
31.33
31.31
31.04
30.92
31.06
31.13
30.92
30.95
32.63
31.34
31.94
31.91
31,58
31.49
31.55
31.51
31.74
31.26
31.55
31.62
27.61
31.26
31.44
31.67
31.88
31.70
31.42
31.42
31.46
31.51
31.61
31.52
31.32
Vdir
; 30.10
s 31.58
31.30
31.58
~:\ I 31.57
I" ' - - '
-'' - ,
' _-'i" "' ,
' , '/ '.. "
-.,Jv:
a ' ', .
; 31.51
i 31.41
31.43
, 31,34
31.39
' 31,31
, 31.40
, 31.29
, ft/sec
Axial
27.49
28.42
29.46
30.19
30.89
31.25
31.31
31.08
30.37
29.70
29.07
28.02
26.77
26.79
28.24
29.47
30.60
30.94
31.03
31.46
31.52
31.38
30.81
29.55
28.77
27.66
23.88
28.45
29.62
30.29
31.00
31,30
31.41
31.39
31.33
30.63
29.72
28.75
27.20
Vax
26.05
28.37
29.52
30.36
30.94
31.19
31.39
31.33
31.03
30.38
29.45
28.51
27.21 !
C1-275
TABC1154.WK4
04/09/99
-------
Table C1-155. Spherical SPH-8 Post-test Computations - 30 fps
Probe: Spherical SPH-81 Post-Test 30-60 Calibration
Velocity Point: 30 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axiat Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Pttrh
i ILL.1 1
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
T dw
Angle
0.8
0.8
-0.3
-0.3
-0.3
-0.3
-0.2
-0.2
-1.3
-1.4
-1.7
-1.7
-1.7
2.1
2.2
1.2
1.2
-0.1
0.3
0.3
0.4
0.0
0.1
0.1
-1.1
-0.9
2.8
2.8
1.5
1.5
0.8
0.7
0.2
0.3
-0.2
-0.2
-0.4
-0.6
-1.9
29.83
0.00
29.83
28.84
28.73
NA
0
30.79
0.9
16.8
16.8
9.59
Probe ID: SPH-8
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.58%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I
0
I
Readings, in.H2O
P4-P5
-0.350
-0.330
-0.300
-0.250
-0.080
-0.060
-0.020
0.060
0.150
0.230
0.300
0.360
0.400
-0.400
-0.350
-0.310
-0.290
-0.260
-0.200
-0.090
-0.020
0.030
0.200
0.280
0.350
0.400
-0.380
-0.350
-0.310
-0.290
-0.250
-0.180
-0.080
-0.010
0.030
0.190
0.300
0.350
0.400
P1-P2
0
0
0
0
163
180
195
205
0.214
0
0
219
220
0.218
0.210
0
0
0
0
0
0
0
0
203
195
182
165
153
170
193
208
0.213
0
0
215
220
0.221
0.220
0
216
0.200
0
0
0
0
0
191
175
160
179
196
0.205
0.215
0.220
0
0
0
0
220
220
220
214
0.203
0
0
191
170
V*I
-------
Table C1-156. Spherical SPH-8 Pre-test Computations - 60 fps
Probe: Spherical SPH-8 / Pre-Test 30-60 Calibration
Velocity Point: 60 fps Cai Date:
08/06/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.83
0.00
29.83
28.84
28.73
NA
0
55.38
1.0
16.8
16.9
9.79
Probe ID: SPH-8
Pilot Cp: 1.00
C02, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.66%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
[
0
Readings, in.H2O
Pifrh
r llvll
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
T v
Resultant
30.1
30.1
21.0
14.7
9.9
5.9
1.9
3.9
11.0
15.3
19.4
24.9
29.5
30.1
30.1
20.1
14.7
8.7
2.2
2.2
7.1
12.0
15.7
20.1
25.4
30.1
30.1
30.1
20.4
13.7
8.7
4.0
1.9
7.4
12.8
15.7
21.3
25.3
30.0
Res
30.11
30.10
20.52
14.39
9.12
4.04
2.01
6.14
11.96
15.57
20.27
25.21
29.87
Pt-Ps
0.7277
0.8336
0.7450
0.7221
0.7312
0
7400
0.7355
0.7264
0.7321
0
0
7372
7288
0.7260
0
7351
0.7277
0
0
0
8336
7329
7221
0.7280
0
0
0
7261
7257
7318
0.7356
0
7309
0.7352
0
7330
0.7179
0.5593
0.8336
0.7261
0.7256
0.7280
0.7273
0.7255
0.7325
0.7282
0.7309
0.7357
0.7305
0.7179
-' ff
K-'
?,
i.
1
.-"-."^ |
;;~ s
J " ,
<
*~ _- *
8
i ;
, "V
'
V/p!Af*ifip
VClwijiUC
Flow Dir
58.43
62.53
59.12
58.20
58.57
58.92
58.74
58.37
58.60
58.81
58.47
58.41
58.77
58.58
62.70
58.79
58.36
58.60
58.52
58.50
58.75
58.90
58.71
58.88
58.80
58.19
51.32
62.64
58.46
58.45
58.54
58.51
58.44
58.73
58.50
58.61
58.80
58.59
58.08
Vdir
56.11
62.62
58.79
58.33
58.57
58.65
58.56
58.62
58.67
58.71
58.72
58.60
58.35
ft ft/COf*
Axial
50.54
54.11
55.18
56.28
57.69
58.60
58.70
58.24
57.52
56.73
55.16
52.96
51.13
50.68
54.24
55.21
56.44
57.92
58.48
58.46
58.30
57.60
56.52
55.28
53.11
50.36
44.39
54.20
54.80
56.79
57.87
58.37
58.41
58.23
57.04
56.42
54.78
52.99
50.30
Vax
48.54 i
54.18 !
55.06
56.50 |
57.83
58.48 i
58.52
58.26
57.39
56.56
55.08
53.02
50.60 |
C1-277
TABC1156.WK4
04/09/99
-------
Table C1-157. Spherical SPH-8 Post-test Computations - 60 fps
Probe: Spherical SPH-8 / Post-Test 30-80 Calibration
Velocity Point: 60 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, In. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Voiumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.83
0.00
29.83
28.84
28.73
NA
0
57.41
1.0
17.4
17.5
9.45
Probe ID: SPH-8
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.66%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
. Readings, in.H2O
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
1 OVW
Angle
2.8
2.4
1.3
0.6
0.6
0.2
0.0
0.0
-0.8
-1.0
-1.2
-1.4
-2.1
2.8
2.8
1.5
0.6
0.3
0.2
0.0
0.0
-0.2
-0.7
-0.8
-0.9
-2.2
2.6
2.5
1.2
0.4
0.0
0.0
0.0
-0.2
-0.3
-0.7
-1.0
-1.1
-0.2
P4-P5
-1.300
-1.300
-1.150
-0.900
-0.650
-0.500
-0.290
0.030
0.470
0.780
1.000
1.230
1.400
-1.360
-1.300
-1.100
-0.900
-0.600
-0.300
-0.060
0.220
0.550
0.800
1.050
1.260
1.400
-1.380
-1.300
-1.100
-0.850
-0.600
-0.400
-0.080
0.240
0.600
0.800
1.100
1.250
1.450
P1-P2
0.550
0,630
0.680
0.710
0.750
0.770
0.770
0.760
0.750
0.740
0.700
0.650
0.600
0.550
0.630
0.680
0.710
0.750
0.760
0.760
0.760
0.750
0.730
0.700
0.650
0.580
0.550
0.630
0.670
0.720
0.750
0.760
0.760
0.760
0,740
'0,730
0.690
0.650
0.580
wdo
Temp, F
90
90
90
90
90
90
90
90
90
90
90
91
91
93
93
93
93
93
93
93
93
93
93
93
93
93
92
92
92
92
92
92
92
92
91
91
91
91
91
Average
-"-* /-*M
Pitch
-30.0
-26.4
-20.9
-14.8
-9.3
-5.5
-1.8
5.0
14.1
17.8
21.2
26.9
30.0
-30.0
-26,4 *
-19.8
-14.8
-8.1
-2.0
2.9
9.9
15.3
18.2
22.1
27.5
30.0
-30.0
-26.4
-20.1
-13.6
-8.1
-3.8
2.4
10.3
15.9
18.2
23.2
27.3
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
\ji~u.\j *"
Resultant
30.1
26.5
20.9
14.8
9.3
5.5
1.8
5.0
14.1
17.8
21.3
26.9
30.1
30.1
26.5
19.8
14.8
8.1
2.0
2.9
9.9
15.3
18.2
22.1
27.5
30.1
30.1
26.5
20.2
13.6
8.1
3.8
2.4
10,3
15.9
18.2
23.2
27.3
30.0
Res
r 30.11
26.51
20.32
14.40
8.53
3.76
2.36
8.40
15.09
18.06
22.20
27.26
30.05
Pt-Ps
0.7820
0.8282
0.8110
0.7796
0.7975
0.8063
0.8061
0.7999
0.8023
0.8094
0.7887
0.7906
0.7685
0.7820
0.8282
0.7965
0.7796
0.7938
0.7955
0.7984
0.8053
0.8055
0.8003
0.7966
0.7985
0.7429
0.6039
0.8282
0.7888
0.7851
0.7938
0.7947
0.7981
0.8059
0.7983
0.8003
0.7955
0.7959
0.7429
I
Oj
..
velocities, ft/sec
Flow Dir Axial
60.57
62.33
61.68
60.47
61.16
61.50
61.49
61.25
61.35
61.62
60.82
60.95
60.09
60.73
62
50
61.29
60.64
61.19
61.25
61.36
61.63
61.64
61
61
61
59
53
44
29
37
19
32
62.44
60
60
61
61
61
61
61
61
61
61
94
79
13
17
30
59
25
33
14
16
59.08
Vdir
-."Vs- >, 58.21
b -.---.;' . 62.42
- -
! 61
.30
"Z ' 60.63
. '" _ " 61.16
~
. 61
.31
'- -,;, . 61.38
"4.
~-
^ : - ~ซซ,
~S*
t , '.. .~
' 61
61
- 61
61
; ei
.49
.41
.46
.09
.16
59.46
52.39
55.78
57.60
58.47
60.36
61.21
61.46
61.02
59.49
58.65
56.69
54.33
52.01
52.53
55.92
57.66
58.63
60.57
61.21
61.29
60.70
59.46
58.38
56.79
54.43
51.22
46.13
55.88
57.20
59.08
60.51
61.04
61.24
60.60
58.91
58.27
56.18
54.33
51.17
Vax
50.35
55.86
57.49
58.73 I
60.48
61.15
61.33
60.78
59.29
58.43
56.55
54.36
51.47
TABC1157.WK4
C1-278
04/09/99
-------
Table C1-158. Spherical SPH-8 Pre-test Computations - 90 fps
Probe: Spherical SPH-8 / Pre-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
Number Of Points:
39
08/06/97
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in,H2O
Pitch Yaw Gas
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.83
0.00
29.83
28.84
28.73
NA
0
82.21
0.9
16.6
16.7
9.75
ซ ANGLES ป
Pitch Resultant
Probe ID:
Pilot Cp:
CO2, %d:
02, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-8
1.00
0.00
20.9
1
4.71%
90 F
61
Volumetric Air Flow Rate,
SCFM Wet:
c
Oj
Velocities, ft/sec
Pt-Ps
Flow Dir
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.2
2.2
0.9
0.3
0.1
0.0
0.0
0.0
-0.6
-0.9
-1.0
-1.7
-2.3
3.1
1.7
0.5
0.1
0.0
0.0
-0.3
-0.3
-0.4
-0.5
-1.3
-1.2
-2.6
2.4
2.1
0.6
0.2
0.2
-0.1
-0.1
-0.3
-0.3
-0.9
-1.0
-1.1
-2.3
-3.000
-2.900
-2.450
-2.050
-1.500
-0.700
-0.300
0.600
1.200
1.700
2.300
2.650
3.000
-3.050
-2.900
-2.500
-2.050
-1.500
-1.050
-0.500
0.030
1.000
1.650
2.200
2.600
2.950
-3.000
-2.850
-2.400
-2.000
-1.450
-0.900
-0.300
0.500
1.000
1.580
2.220
2.600
3.000
1.200
1.360
1.500
1.560
1.650
1.690
1.700
1.690
1.650
1.620
1.520
1.430
1.300
1.190
1.380
1.500
1.570
1.660
1.690
1.690
1.690
- 1.670
1.630
1.530
1.430
1.290
1,2(10
1.370
1.500
1.570
1.650
1.680
1.690
1.680
1.650
1.610
1.500
1.400
1.280
98
98
98
98
97
97
96
96
95
95
95
94
93
95
95
96
96
96
97
97
98
99
99
99
100
100
86
86
85
84
84 .
83
83
82
81
80
79
78
77
-30.0
-30.0
-20.3
-15.4
-10.5
-2.4
0.9
7.9
12.0
15,2
20.3
24.4
29.2
-30.0
-30.0
-20.7
-15.2
-10.4
-5.4
-0.8
3.6
10.7
14.8
19.4
24.0
29.0
-30.0
-30.0
-19.8
-14.8
-10.1
-4.1
0.8
7.2
10.8 .
14.5
19.9
24.5
29.6
30.1
30.1
20.3
15.4
10.5
2.4
0.9
7.9
12.0
15.2
20.3
24.5
29.3
30,1
30.0
20.7
15.2
10.4
5.4
0.9
3.6
10.7
14.8
19.5
24.0
29.1
30.1
30.1
19.8
14.8
10.1
4.1
0.8
7.2
10.8
14.5
19.9
24.5
29.7
1.5877
1.7994
1.6224
1.5968
1.6157
1.6150
1.6219
1.6314
1.6178
1.6130
1.5998
1.5876
1.5844
1.5745
1.8259
1.6345
1.6047
1.6246
1.6211
1.6127
1.6150
1.6281
1.6182
1.5948
1.5791
1.5656
1.2283
1.8127
1.6115
1.5977
1.6105
1.6079
1.6123
1.6182
1.6092
1.5962
1.5711
1.5553
1.5714
86.93
92.54
87.87
87.17
87.61
87.59
87.70
87.96
87.51
87.38
87.02
86.61
86.44
86.33
92.97
88.04
87.23
87.77
87.76
87.53
87.67
88.10
87.83
87.19
86.84
86.47
75.63
91.87
86.55
86.10
86.44
86.29
86.41
86.49
86.17
85.74
84.98
84.48
84.83
75.22
80.08
82.42
84.06
86.15
87.51
87.69
87.12
85.59
84.32
81.61
78.82
75.40
74.65
80.48
82.36
84.17
86.33
87.36
87.52
87.49
86.56
84.92
82.21
79.31
75.56
65.44
79.51
81.43
83.24
85.10
86.07
86.40
85.80
84.64
83.00
79.90
76.87
73.72
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Res
30.10
30.06
20.26
15.13
10.32
4.00
0.86
6.24
11 17
14.85
19.90
24.34
29.35
Vdir
'-.:;;,. , 82.96
" -A,,;?:" 92.46
>" -s' ':'- 87.49
86,83
1 -"-" 87.27
87.21
-. - \ 87.21
- .- ' 87.37
i .. -?*.- 87.26
- - ^-" 86.98
' ~-,^ 86.40
. 85.98
* - , 85.92
Vax
71.77
80.02
82.07
83.82
85.86
86.98
87.20
- 86,81
85.60
84.08
81.24
78.33
74.89
TA8C1158.WK4
C1-279
04/09/99
-------
Table C1-159. Spherical SPH-8 Post-test Computations - 90 fps
Probe: Spherical SPH-8 / Post-Test 30-60 Calibration
Velocity Point: 90 fps Cal Date:
11/07/97
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angte:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.83
0.00
29.83
28.84
28.73
NA
0
85.22
0.9"
17.3
17.3
9.47
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-8
1.00
0.00
20.9
1
4.7-1%
90 F
61
Volumetric Air Flow Rate,
SCFM Wet:
L
Oj
ซ. &N^I KC *ปN. \/nInnit;,A<*. fklfnr*
***** /^j>}
Pitch
Wl-l V* '^
Resultant Pt-Ps
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.2
2.2
0.9
0.3
0.1
0.0
0.0
0.0
-0.6
-0.9
-1.0
-1.7
-2.3
3.1
1.7
0.5
0.1
0.0
0.0
-0.3
-0.3
-0.4
-0.5
-1.3
-1.2
-2.6
2.4
2.1
0.6
0.2
0.2
-0.1
-0.1
-0.3
-0.3
-0.9
-1.0
-1.1
-2.3
-3.000
-2.900
-2.450
-2.050
-1.500
-0.700
-0.300
0.600
1.200
1.700
2.300
2.650
3.000
-3.050
-2.900
-2.500
-2.050
-1.500
-1.050
-0.500
0.030
1.000
1.650
2.200
2.600
2.950
-3.000
-2.850
-2.400
-2.000
-1.450
-0.900
-0.300
0.500
1.000
1.580
2.220
2.600
3.000
1.200
1.360
1.500
1.560
1.650
1.690
1.700
1.690
1.650
1.620
1.520
1.430
1.300
1.190
1.380
1.500
1.570
1.660
1.690
1.690
1.690
1.670
1,630
1.530
1.430
1.290
1.200
1.370
1.500
1.570
1.650
1.680
1.690
1.680
1.650
1.610
1.500
1.400
1.280
98
98
98
98
97
97
96
96
95
95
95
94
93
95
95
96
96
96
97
97
98
99
99
99
100
100
86
86
85
84
84
83
83
82
81
80
79
78
77
Average
-30.0
-27.3
-20.0
-15.4
-10.0
-2.3
1.2
10.8
15.2
17.8
22.2
26.4
30.0
-30.0
-26.9
-20.5
-15.3
-9.9
-5.0
-0.7
4.6
13.8
17.5
21.3
26.0
30.0
-30.0
-26.6
-19.5
-14.9
-9.5
-3.9
1.2
10.1
13.8
17.2
21.8
26.5
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.1
27.3
20.0
15.4
10.0
2.3
1.2
10.8
15.2
17.8
22.3
26.5
30.1
30.1
26.9
20.5
15.3
9.9
5.0
0.8
4.6
13.8
17.5
21.4
26.0
30.1
30.1
26.7
19.5
14.9
9.5
3.9
1.2
10.1
13.8
17.3
21.9
26.5
30.1
Res
30.10
26.98
20.03
15.20
9.83
3.72
1.03
8.48
14.28
17.52
21.83
26.32
30.09
1
1
7062
8229
1.7621
1
.7251
1.7598
1
1
7687
7833
1.7940
1.7714
1
7715
1.7330
1
1
7244
6650
1.6920
1.8338
1
1
7775
7334
1.7697
1.7661
1.7702
1
.7781
1.7850
1
1
1
1
7787
.7261
7112
6522
1.3270
1
1
8097
7513
1.7247
1
1
7560
7566
1.7727
1
1
1
1
1
.7805
7640
.7538
.7023
6897
1.6394
, .
f
'','
i
*i(,
ii'
5-
-".' *
. -i, .
5
'!' *
--
.-
'-*' . i
90.11
93.14
91.57
90.61
91.43
91.66
91.96
92.23
91.57
91.57
90.57
90.26
88.62
89.49
93.17
91.81
90.66
91.61
91.60
91.70
91.99
92.25
92.09
90.71
90.40
88.83
78.61
91.80
90.22
89.45
90.26
90.19
90.61
90.72
90.22
89.87
88.46
88.05
86.65
Vdir
86.07
92.70
91.20
90.24
91.10
91.15
91.42
91.65
91.35
91.18
89.91
89.57
88.03
77.98
82.73
86.04
87.34
90.03
91.59
91.94
90.61
88.36
87.18
83.82
80.80
76.68
77.39
83.07
85.98
87.45
90.23
91.24
91.69
91.69
89.60
87.83
84.48
81.25
76.85
68.02
82.02
85.03
86.46
89.02
89.99
90.59
89.32
87.60
85.82
82.10
78.81
74.98
Vax
74.46
82.61
85.68
87.08
89.76
90.94
91.41
90.54
88.52
86.94
83.46
80.29
76.17
TABC1159.WK4
Cl-280
04/09/99
-------
Appendix C2.
National Institute of
Standards and Technology
Probe Calibrations
-------
INTRODUCTION
Appendix C2 contains the test plan for the velocity probe calibrations conducted at the NIST wind
tunnel, located at the National Institute of Standards and Technology, U.S. Department of Commerce
in Gaithersburg, Maryland. The test plan begins on page C2-3. This appendix also includes all of
the calibration data, which are presented beginning on page C2-25.
C2-2
-------
Flow Reference Method
Testing and Analysis
Test Plan:
Velocity Probe Calibrations at the NIST Wind Tunnel
Prepared/or
U.S. Environmental Protection Agency
Acid Rain Division, 6204J
401 M Street, SW
Washington, DC 20460
Contract No. 68-W6-0050
Work Assignment 0007AA-23
Prepared by
The Cadmus Group, Inc.
1920 Highway 54, Suite 100
Durham, NC 27713
Decembers, 1997
C2-3 _
-------
This Page Intentionally Left Blank
C2-4
-------
TABLE OF CONTENTS
Section Page
1,0 INTRODUCTION C2-7
1.1 Background C2-7
1.2 Purpose of Wind Tunnel Tests C2-7
13 Description of NIST Wind Tunnel Facility C2-8
2.0 GOALS OF THE WIND TUNNEL TESTS C2-10
3.0 PROBE DESCRIPTIONS C2-10
3.1 One-Dimensional Probes (Prandtl and French) C2-10
3.2 Two-Dimensional Probes (Type S, Autoprobe S, and Modified Kiel) C2-10
3.3 Three-Dimensional Probes (DAT and Spherical) C2-13
3.4 Pressure Measurement Devices C2-13
4.0 TEST PROCEDURES C2-18
4.1 Equipment Set Up C2-19
4.2 Yaw Nulling Calibration C2-20
4.3 One- and Two-dimensional Probe Calibration C2-20
4.4 Three-dimensional Probe Calibration C2-21
5.0 CALIBRATION REPORTS C2-23
6.0 WIND TUNNEL TEST SCHEDULE , C2-25
C2-5
-------
LIST OF FIGURES
Figure Page
1 NIST dual test section wind tunnel , ,, C2-9
2 Construction details of the Prandtl probe C2-12
3 Construction details of the French probe with conical port C2-12
4 Schematic showing the design of the four Type S probes used in this study C2-14
5 Schematic of modified Kiel probe C2-15
6 Top, side, and cross-sectional views of DAT probe C2-16
7 Front and side views of spherical probe C2-16
LIST OF TABLES
Table Page
1 EPA Velocity Probes , C2-11
2 Requirements for Differential Pressure Measurement Devices C2-17
3 Design Matrix for One- and Two-Dimensional Probes C2-19
4 Design Matrix for Three-Dimensional Probes C2-19
5 Data Form for Recording Results of Calibrations of the One- and Two-
Dimensional Probes: French, Prandtl, Type S, Autoprobe Type S and
Modified Kiel , -. C2-22
6 Data Form for Recording Results of Calibrations of Three-Dimensional
Probes: DAT and Spherical C2-24
7 Testing and Reporting Deadlines C2-25
C2-6
-------
1.0 INTRODUCTION
1.1 BACKGROUND
Title IV of the Clean Air Act, as amended by the Clean Air Act Amendments of 1990 (the Act, 42
U.S.C. 7651), authorizes the U.S. Environmental Protection Agency (EPA) to establish an acid rain
program to reduce the adverse effects of acidic deposition. On October 26, 1992, the Agency
Administrator signed four core rules designed to implement the statutory mandate. Part 75 of the
core rules requires affected electric utility units to install and operate continuous emission
monitoring systems (CEMS) that provide EPA with continuous hourly measurements of sulfur
dioxide, nitrogen oxides, carbon dioxide, and volumetric flow. A central element in the monitoring
program is periodic performance testing of each type of CEMS against EPA' s approved test methods
specified in 40 CFR Part 60.
In the first three years of the Acid Rain Program, the electric utility industry has raised concerns that
EPA's approved test method.for determining volumetric flow (Method 2) overestimates the actual
flow rate, resulting in overestimation of sulfur dioxide emissions and heat input. To address these
concerns, EPA has been engaged in an interlaboratory field study of Method 2 and the comparison
of the method to other methods of measuring flow. The field studies were conducted during the
summer of 1997 at three electric utility sites and involved test crews from eight private companies.
The purpose of the study is to assess the accuracy and the variability of flow reference methods, to
compare reference method measurements to other measurements of flow, and to provide technical
assessments of possible improvements to the flow reference methods.
1.2 PURPOSE OF WIND TUNNEL TESTS
A critical element in the test program is obtaining independent wind tunnel calibrations of each
probe that was used in the field study. Under this interagency agreement, the 33 probes used in the
field study will be calibrated in the wind tunnel operated by the National Institute of Standards and
Technology (NIST), U.S. Department of Commerce, in Gaithersburg, Maryland. The calibrations
will be performed in accordance with the procedures contained in EPA's Test Methods 1, 2, draft
Method 2F, and in proposed revisions to these methods.
NIST will prepare a quality assurance (QA) project plan for the wind tunnel tests, provide and
operate the wind tunnel, provide the instrumentation and hardware support for performing the probe
calibrations and recording the resulting measurements, perform the probe calibrations, quality assure
and analyze the resulting data, and produce final calibration reports for each tested probe. These
reports will present the calculated calibration coefficients for the one- and two-dimensional probes,
calibration curves for the three-dimensional probes, and associated error bands for each of the 33
pitot probes. Through a separate contract, EPA will provide the probes and any technical assistance
requested by NIST. NIST will provide EPA with all pressure measurements and prepare an initial
draft calculation of the calibration results for each probe. A log noting problems with the data and
probes will be maintained by NIST personnel performing the calibrations. Quality assurance and
quality control (QC) will be performed by NIST.
Following the performance of these tests at the NIST wind tunnel, the probes will be shipped either
to Massachusetts Institute of Technology (MIT) or the Electric Power Research Institute's (EPRI)
swirl wind tunnel for further testing.
C2-7
-------
1.3 DESCRIPTION OF NIST WIND TUNNEL FACILITY
All tests will be conducted in the NIST Dual Test Section Wind Tunnel shown in Figure 1. The
wind tunnel is a closed-circuit facility lying in a horizontal plane. The tunnel is powered by a 370
kW (500 hp) AC-to-DC motor generator set which supplies DC power to a 300 kW (400 hp) drive
motor. The maximum drive rpm is 600 and is controlled by a feedback loop producing shaft
revolutions stable to within ฑ0.1%. The drive motor turns an 8-ft, two-stage axial flow fan with
manually adjustable blade pitch. Downstream of the fan, the flow passes through a circular-to-
square transition section and into a five-degree diffuser. The diffuser continues around through two
sets of turning vanes, through a 12-ft square cross-section containing a 3/8-in. by 3-in. phenolic resin
honeycomb, and then into a wide-angle diffuser. The wide-angle diffuser contains six screens and
discharges into a 20 ft., 2 in. by 25 ft. settling chamber containing nine screens. All screens are 20-
mesh stainless steel made with 0.009-in. diameter wire, and are spaced 2 ft. apart in the flow
direction. From the settling chamber, the flow passes through an entrance cone and into a 5 ft. by
7 ft. cross-section where folding hinges are attached to facilitate changing test sections. The
honeycomb, screens, and a contraction ratio of 14.4-to-1 provide test section longitudinal free-stream
turbulence levels of 0.07% over most of the speed range and a transverse velocity gradient within
a 90% "working window" of less than 1% in both test sections.
The test section assembly consists of two ducts which ride "piggy back" on a cable hoisting
arrangement. The upper test section is 39 ft., 7 in. long and has a system of parallel arms along the
sides which allow the sidewalls to be adjusted to provide a zero pressure gradient for research
purposes. This test section is variable in cross-section but nominally measures 7 ft. high and 5 ft.
wide, with the width variable. The top speed in this configuration is approximately 147 ft/sec. The
7 ft. vertical dimension at the entrance to the lower test section is gradually reduced in the flow
direction to 4 ft. forming a venturi-like duct so that the top speed is approximately 220 ft/sec. The
effective working length is 10 ft. within the overall 40 ft. length. All sides of the lower test section
are fixed. Both test sections are equipped with overhead lighting and windows in the sidewalls for
observation and access.
The downstream end of the test section is vented to room air establishing this point in the closed-
circuit system as being near atmospheric pressure and temperature conditions. From this point, the
flow passes into a five-degree diffuser, around two 90-degree bends containing turning vanes and
into the drive section which measures 12 ft., 5 in. wide by 14 ft. high at the location of a cooling coil
used to stabilize the tunnel temperature. The cooling coil is situated between the drive motor and
the fan, and a 6-in. drive shaft passes through the center of the coil. A rectangular to 8 ft. round
transition completes the circuit connection to the drive fan inlet. The entire drive mechanism, along
with the cooling coil, is mounted on a large concrete slab which is isolated from the building floor
with springs to minimize the transmission of vibration. The main tunnel duct is attached to the drive
section at each end by means of flexible boots.
C2-8
-------
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-------
2.0 GOALS OF THE WIND TUNNEL TESTS
The wind tunnel tests are designed to provide independent calibrations of the probes used in the field
study, and to evaluate the calibration data to determine whether the calibration procedures currently
specified in Method 2 and draft Method 2F can be improved.
3.0 PROBE DESCRIPTIONS
Seven probe types will be calibrated at the NIST wind tunnel, namely, two one-dimensional probes
(Prandtl and French), three two-dimensional probes (Type S, the Autoprobe with Type S head, and
modified Kiel), and two three-dimensional probes (DAT and spherical). One-dimensional probes
measure stack gas velocity pressure only and cannot be used to determine flow angles. Two-
dimensional probes measure stack gas velocity pressure and can be used to determine yaw angle.
Three-dimensional probes are used to measure stack gas velocity pressure and the yaw and pitch
angles of the velocity vector, which are used to calculate axial velocity. Table 1 presents a list of the
probes, the corresponding identification numbers, and the expected range of pressures for the wind
tunnel velocity conditions.
3.1 ONE-DIMENSIONAL PROBES (PRANDTL AND FRENCH)
The Prandtl, or standard pitot, probe used in this project is a 0.25-in. outside diameter (O,D.)
stainless steel tube with a 90ฐ bend located approximately 3.5 in. from the hemispherical probe tip
(Figure 2). Four, 0.035-in inside diameter (I.D.) static pressure ports are located one inch from the
probe tip and positioned 90 ฐ apart around the tube. A Type K thermocouple is included in the probe
head for gas temperature readings.
The French probe is a cylindrical probe with a solid stainless steel probe head, an impact port with
a 15ฐ chamfer on the probe head, and a wake port located at a 180ฐ offset from the impact port
(Figure 3). This probe head design does not meet current design specifications in EPA Method 2.
Developed by Southern Company Services, the probe is not commercially marketed. The probe
design does not include an installed thermocouple. Therefore, a Type K thermocouple is installed
on the external sheath of the probe with the thermocouple tip positioned approximately 2 in. from
the two pressure ports (in a position as to not interfere with the gas flow around the probe shaft near
the pressure ports),
3.2 TWO-DIMENSIONAL PROBES (TYPE S, AUTOPROBE S, AND MODIFIED KIEL)
The Type S pitot probe has been used extensively during field test programs to measure flue gas
volumetric flow. The pressure differential between the two face openings (i.e., the impact and static
ports) is a function of gas velocity. The probe design and construction specifications of the two
pressure tubes are prescribed in EPA Method 2. To enable the Type S probe to be used in
determining yaw angles during this flow study, an additional design feature was added to those
currently found in Method 2. The impact and static pitot tubes are enclosed in a round, metal sheath.
The length of the pitot tubes extending from the sheath to the port openings is 4 in. The metal sheath
allows a null position demarcation line to be inscribed along the full length of the probe. It also
provides for installation of an angle measurement device for yaw angle determinations, and allows
the probe to be rotated in controllable increments. These features are required when determining the
yaw angle of the velocity vector.
C2-10
-------
Table 1. EPA Velocity Probes
Probe
Type
Probe
Supplier
Probe
I.D.
Expected Range of
Pressures
One- and Two-dimensional probes
Prandtl
French
Type S
Modified Kiel
Autoprobe S
(Baseline
System and
Manual Probe)
United Sensor Corp.
Amherst,NH
United Sensor Corp.
Amherst, NH
Environmental
Supply Co.
Durham, NC
United Sensor Corp.
Amherst, NH
United Sciences
Testing, Inc.
Gibsonia, PA
PR-1
PR-2
PR-3
PR-4
FR-1
FR-2
FR-3
FR-4
S-10
S-ll
S-12
S-13
MK-1
MK-2
MK-3
MK-4
026 (Baseline)
028 (Baseline)
033 (Baseline)
027 (Baseline)
036 (Manual)
AP: 0.20"tol.80"H2O
-
AP: 0,35" to 3.60" H2O
AP: 0.30" to 2.70" H2O
A?: 0.3"to3.5"H2O
AP: 0.2" to 2.8" H2O
Three-dimensional probes
DAT
Spherical
Test Contractor-
Supplied
[each manufactured by
United Sensor]
United Sensor Corp.
Amherst, NH
E-DAT
K-DAT
M-DAT
T-DAT
SPH-1
SPH-2
SPH-3
SPH-4
SPH-5
SPH-6
SPH-7
SPH-8
PrP2: Oto2"H2O
PrPs: -rtoTHjO
P,-P2: Oto2"H2O
PrPs: -3"to3"H2O
C2-11
-------
1.0"
t
* 4: 0.035" dia hole
^ 90 apart
,
!
0.250" dia
now. ,r >/ 3/8" NPT
0.375 diajt
Brass mounting chock
Teflon ferrule
Figure 2. Construction details of the Prandtl probe.
~H N~
0.250
0.450
I
( : )
"T
0
ซ tปl
8.0" r{
T '* yo
^
48.0"
_o
5
CLฐ
in
2.5"
A
15
Section A-A
Figure 3. Construction details of French probe.
1/8" OD
Pressure
tubes
/
I N
\ O/
Y
\
\ \
C2-12
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Clockwise rotation of the probe to find the yaw null yields a positive yaw angle, while
counterclockwise rotation is negative. Figure 4 is an illustration showing the Type S probe used in
this study. Each probe included a Type K thermocouple installed within a well with the tip
positioned approximately 1.5 in. from the pressure ports.
The United Sciences Testing, Inc. (USTI) Autoprobe uses the Type S pitot probe tip to measure flue
gas pressure.
The "modified" Kiel probe, shown in Figure 5, is a standard Kiel probe with a wake port and two
Fechheimer ports added. The wake port is offset 180ฐ and located 3.625 in. down the probe shaft
from the Kiel's impact port. The Fechheimer ports are each offset 30ฐ from the impact port and are
located 2.375 in. down the probe shaft from the center of the impact port. The Fechheimer ports
enable the probe to be rotated to find the yaw-null position, similar to the procedure used for the
DAT and spherical probes. Clockwise rotation of the probe to find the yaw null yields a positive
yaw angle, while counterclockwise rotation is negative. The pressure differential between the impact
and wake (static) ports is a function of gas velocity. Each modified Kiel probe includes an installed
thermocouple with the tip positioned directly behind the impact port.
3.3 THREE-DIMENSIONAL PROBES (DAT AND SPHERICAL)
Three-dimensional probes provide a measure of both yaw and pitch angles of gas flow using five
ports on the sensing head of the probe. The ports are numbered 1 through 5, and the pressures
measured at each are referred to as P,, P2, P3, P4, and P5. The DAT and spherical probes are
illustrated in Figures 6 and 7, respectively. Ports P2 and P3 are located symmetrically on either side
of impact pressure port Pj. The ports used to determine the pitch, i.e., P4 and P3, are in opposite
positions on the DAT and spherical probe heads, but are oriented to face the same direction of gas
flow by the shape of each probe head.
The pressure differential between P, and P2 is a function of gas velocity. The P2 and P 3 pressure
differential readings are used to yaw null the probe. Clockwise rotation of the probe to find the yaw
null yields a positive yaw angle, while counterclockwise rotation is negative. The pressure
differential between P4 and Ps is a function of pitch angle and gas stream velocity. The pitch angle
is obtained from a calibration curve that plots the ratio F, = (P4 - Ps) / (Pt - P2) versus pitch angle.
Flow toward the tester (P4>P5) is considered positive pitch, and flow away from the tester (P 5 >P
4) is considered negative pitch. The probe's calibration curve also provides values of the velocity
factor F2 = Cps [(Pt - Ps) / (P, - P2)f' as a function of pitch angle. Equation 2F-2 in draft Method 2F
is used to relate yaw and pitch angles, F2, and (PrP2) to axial velocity.
3.4 PRESSURE MEASUREMENT DEVICES
To assess the accuracy of pressure reading instrumentation, data will be obtained using three types
of pressure devices: inclined manometers, electronic transducers, and magnehelic gauges. The
requirements for the pressure measurement devices are shown in Table 2. All such devices must
meet the calibration requirements of 40 CFR Part 60, Appendix A, Method 2, ง2.2. Calibrations
and, if available, traceability to a MIST standard should be documented.
C2-13
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Transverse
Tube Axis
\
TYT-
Face
Planes
(a)
48"
ft
4" A-side
Plane
y) JR
R "XT"
i " r i r b
025" 00 1.25"OD 0.375" OD B.side
Tubes Sheath (b) TUi>eS ซ<.
(. f^
-\
Q A. or-B Vs--. -^
NOTE:
(c)
Figure 4. Schematic showing the design of the four Type S probes used in this study.
C2-14
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3.62
Wake Port
0,125
Section AA
0.125
91 0.094
Rear View Side View
Figure 5. Schematic of modified Kiel probe.
Fechheimer
Ports
0.75
2.375
48,0
Front View
C2-15
-------
y
r
$ L-,
Probe \ '""
Shaft <
3"
2
4 '1 5
-3
Top View
X ***'
> (
Probe < 1
4 1 5
"3
\
X
^J
x^ P
J"**ป.(
1
Shaft ?
I N n
1"
\/
/2
S
Side View
Figure 6. Top, side, and cross-sectional views of DAT probe.
Section P-P
1.5"O.D.
ซising Holes (0.110 ปDia.)
TypeซK"
.Grounded
Thermocouple
(1/8 " Dia.)
// I
_^
0.75 "x0.065 "Tube
Figure 7. Front and side views of spherical probe.
C2-16
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Table 2. Requirements for Differential Pressure Measurement Devices
Device Type
Description/Specifications
Example
Notes
Inclined
Manometer
Pressure range: -5 to 145 cm benzene
Scale gradations: 0.1 cm benzene
Inclined scale length: 60 in.
Meriam Instrument
(Cleveland, Ohio)
Model 40HEX35 Inclined Tube Manometer
For calibrating three-dimensional probes (i.e., DAT and
spherical), a valving system will be required to enable
selection of the appropriate pressure tubes (Pi-Pj or P4-
Pj) for measurement. Alternatively, two separate
manometers may be used during testing: one for
measuring the velocity pressure (Pt - Pj) and one for
measuring the pitch angle pressure (P4 - P}).
Because the P4-P, pressure readings for the three-
dimensional probes will be positive or negative, a valving
system will be required to enable reversal of the pressure
taps to obtain a positive deflection on the manometer.
Magnehelie
Gauges
Pressure ranges: Magnehelic gauges
connected in parallel with the ranges
shown in the adjacent example are
required. These ranges should cover
the highest and lowest pressure readings
expected from the tested probes.
Accuracy: Capability of measuring
pressure differentials to ฑ2 % of scale.
Dwyer Instruments, Inc.
(Michigan City, Indiana)
Range: 0-0.25, Div: 0.01 in H2O : Model 2000-
00
Range: 0-0.5, Div: 0.01 in HZO: Model 2000-0
Range: 0-1, Div: 0.02 in H,O: Model 2001
Range: 0-2, Div: 0.05 in H2O: Model 2002
Range: 0-5, Div: 0.2 in HjO: Model 2005
Range: ฑ0.5, Div: 0.02 in H,O: Model 2301
The gauges will be configured to provide readings for all
probes. The configuration would provide velocity
pressure (P|-Pj) and pitch pressure (P^-Pj) readings for
pressure ranges from 0-0.5 to 0-5 in. H2O. Because the
P4-P5 pressure readings for the three-dimensional probes
will be positive or negative, a valving system wilt be
required to enable reversal of the pressure taps to obtain
a positive deflection on the one-directional gauges.
The gauge used for yaw nulling the probes must have a
bi-directional range because those readings can be either
positive or negative.
Electronic
Micromanometer
Range: 0.0001 to ฑ20 in. H2O
Accuracy: Capability of measuring
pressure differentials within ฑ2% of
reading ฑ one digit.
Shortridge Instruments, Inc.
(Scottsdale, Arizona)
AirData Multimeter Model ADM-880
For calibrating three-dimensional probes, a valving
system will be required to enable selection of the
appropriate pressure tubes (PrP2 or P4-P5) for
measurement.
A signal processor (e.g., a datalogger, digital readout
meter, or controller) shall be used to automatically record
measurements.
General Notes
1. All pressure measurement devices must meet the calibration requirements of 40 CFR Part 60, App. A, Method 2, ง2,2. If available, traceability to a MIST standard
should be documented.
2. A magnehelic gauge with a bi-directional range of-0.5 to +0.5 in. of H2O is the recommended type of pressure measurement device to be used in performing the yaw
nulling procedure for the three- and two-dimensional probes (i.e., Type S and modified Kiel probes). A separate pressure measurement device must be used for yaw
nulling. It may not be the same device as used for determining velocity pressure and pitch angle pressure.
-------
NIST will provide the wind tunnel, the NIST standard pitot tube used in determining the wind speed
in the tunnel, NIST standard devices for measuring temperature and pressure, three types of
differential pressure measurement devices (inclined manometers, magnehelic gauges, and electronic
pressure transducers) for use with the test probes, and connecting tubing, wires, clamps, and
supports. The Cadmus Group, Inc., under contract to EPA, will provide the field test probes to be
calibrated, probe block collars and angle measuring device to be used for yaw angle measurements.
NIST standard probe pressure measurements are made using an MKS 10 Torr pressure transducer
and MKS Type 270 signal conditioner. The signals are recorded and converted to the desired units
by a computer-based data acquisition system.
The inclined manometer has a scale length of 60 inches. The pressure range is -5 cm to 145 cm
benzene (NIST fluid of choice), with scale graduations of 0.1 cm. The manometer fluid level is
zeroed before each series of test velocities. A cathotometer (or telescope) is used by the operator to
read the fluid column while setting to zero. During the calibrations, pressure readings are visually
made from the manometer using a magnifying glass and then recorded on a data form. The readings
are converted to an equivalent unit of measurement for direct comparison to the NIST probe pressure
readings (in. H2O).
The Shortridge Instruments, Inc. AirData Multilogger Model ADM-880 is an electronic
micromanometer which provides pressure measurements over the range of 0.0001 to ฑ60 in H2O.
The pressure readings are recorded by a laptop computer.
The magnehelic gauge console is comprised of seven gauges used to read velocity, yaw, and pitch
pressures. Three gauges (0-0.5 in., 0-2 in., and 0-5 in. H2O scales) are used in parallel for the
velocity pressure readings. One bi-directional gauge (-0.5 in. to +5 in. H2O) is used to yaw null the
probes. Another set of three gauges (0-0.25 in., 0-1 in., and 0-5 in. H2O scales) is used in parallel
for the pitch pressure readings from the three-dimensional probes. Pitch pressure readings will be
either positive or negative, depending upon the pitch orientation of the probe in the wind tunnel. A
ball valve is used to configure the pressure taps to provide a reading on the gauges. The valve
positions are labeled to indicate whether the pressure reading is positive or negative. NIST will
perform a multi-point calibration on these gauges, except for the one used for yaw nulling, as
required by Method 2.
4.0 TEST PROCEDURES
The probe calibration procedures to be followed are based on the current specifications in EPA
Methods 1,2, and draft 2F. In addition, a test method revision currently under consideration will
be implemented. A yaw nulling procedure (TM2-3) will be performed as a QA check to ensure that
the yaw null found using a probe is within ฑ2ฐ of true zero and to verify the yaw null position
markings previously inscribed on each probe. These procedures are described in the following
subsections; copies of applicable methods and procedures are in the appendices to this document.
As shown in Tables 3 and 4, five replicate measurements will be taken at each velocity setting for
one- and two-dimensional probes and at each velocity and pitch angle setting for three-dimensional
probes. Probes will remain in the wind tunnel during each transition between velocity points. Upon
completion of the first set of calibrations at the three velocities, the wind tunnel will be shut down.
The operator will misadjust the probe rotational position, then repeat the probe set-up procedures
___
-------
(i.e., verify the alignment of the digital inclinometer to the probe head and measure the probe tip
insertion depth in the tunnel). After the wind tunnel velocity is again set to 30 fps, perform the yaw-
nulling procedure at the 30 fps velocity point, and then repeat the calibration routine at the three
velocities.
Table 3. Design Matrix for One- and Two-Dimensional Probe Calibrations
Probe
Type
TypeS
Modified Kiel
French
Prandtl
Autoprobe
Copies of
Probe
4
4
4
4
4
Velocity Points
(fps)
30
60
90
Rep. Meas. at
Each Velocity
5
Eepetitions
2
Table 4. Design Matrix for Three-Dimensional Probe Calibrations
Probe
Type
DAT
Spherical
Copies of
Probe
4
8
Velocity
Points
(fps)
30
60
90
Pitch Angle
Settings
13
(from -30 to +30
in 5ฐ increments)
Replicate
Measurements at
Each Velocity and
Pitch Setting
5
Repetitions
2
Three separate measurements of pressure will be taken at each calibration point: one with an
inclined manometer, another with a magnehelic gauge, and one with an electronic device.
Upon completion of the calibration on the first copy of each probe type, the results will be tabulated
and transmitted (by fax or modem) to EPA for a quick review. EPA will then notify NIST personnel
whether to continue with the calibrations on the remaining probe copies or possibly interrupt the
calibration process to resolve a question or concern.
4.1 EQUIPMENT SET UP
The three types of pressure devices will be connected in parallel to provide concurrent pressure
readings from the tested probe. Leak-checks will be performed after all pressure line connections
are made between the pressure devices and the probe. Both pressure lines of the one- and two-
dimensional probes are checked. Pressure of approximately 3 in. H2O is applied to the impact side
of the probe and then sealed. The pressure reading must remain stable for at least 15 seconds to
achieve an acceptable leak check. The procedure is repeated for the static side with a vacuum
applied. The three-dimensional probes are leak-checked in a similar fashion by applying either a
pressure or vacuum (whichever is applicable) of 3 in. H2O to one of the five ports and sealed. Each
pressure port is checked individually.
C2-19
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4.2 YAW NULLING CALIBRATION
For probes used to determine the yaw angle of flow (i.e., all probes except the Prandtl and French),
a check will be performed to ensure that the yaw null found using a probe is within ฑ2 ฐ of true zero.
This procedure was used during an earlier wind tunnel calibration routine to establish each individual
probe's true yaw null position. A demarcation line was then placed along the length of the probe
shaft to serve as a yaw null reference for subsequent use. This procedure will verify that the yaw
angle measurement device, once attached to the probe and aligned with the demarcation line,
correctly indicates the rotational position of the probe head to within ฑ2ฐ.
Affix the digital inclinometer to the probe using the supplied probe collar. Align the reference mark
on the collar with the probe's demarcation line (i.e., a previously established yaw null reference line).
Insert the probe into the wind tunnel test section. At each wind tunnel gas velocity (30,60, and 90
fps), perform the yaw null procedure specific to the probe type. The yaw angle reading from the
digital inclinometer must be within ฑ2ฐ of 0 for this result to be considered acceptable.
The five Autoprobes and four DAT probes do not have a yaw null demarcation line inscribed on the
probe shafts. The following procedure is used to set up the digital inclinometer on these probe
shafts. With the Autoprobe held in a horizontal position, place a small carpenters level on the side
of the two pitot tubes and rotate the probe to provide an approximate 0ฐ or 90ฐ reference yaw angle
position of the pitot tips. Maintain this rotational position while the digital inclinometer and probe
collar are affixed to the probe shaft. A similar set up procedure is used for the DAT probes. With
the probe held in a horizontal position, place a small carpenters level on the flat where the P, port
is located. Then rotate the probe to provide an approximate 0ฐ or 90ฐ reference yaw angle position
of the probe head. Maintain this rotational position while the digital inclinometer and probe collar
are affixed to the probe shaft.
4.3 ONE- AND TWO-DIMENSIONAL PROBE CALIBRATION
All one- and two-dimensional probe calibrations are conducted with the probe tip positioned at the
center of the wind tunnel test section and perpendicular to the flow (i.e., 0ฐ pitch).
The Prandtl probe is placed into the gas stream with the probe tip facing upstream (i.e., the impact
port aligned parallel and the stem perpendicular to the longitudinal axis of the wind tunnel test
section). The French probe is operated with the impact and wake ports positioned parallel to the
wind tunnel axis. Neither probe design can be used to determine yaw angles in the gas flow.
With the Type S and Autoprobe Type S probes, the yaw angle is determined by rotating the probe
until a null differential pressure reading is obtained. (Each leg of the Type S probes is identified as
either the impact leg or the static leg.) The probe head is then rotated 90 ฐ back to orient the impact
opening into the direction of flow. In this position, the yaw angle is the rotational angle between the
pitot impact port and the longitudinal axis of the stack, as indicated by the digital inclinometer. The
differential pressure reading is recorded at this probe rotational position.
Using the two Fechheimer ports, the modified Kiel probe is yaw nulled in the same way as the DAT
probe. The Fechheimer ports are located symmetrically on either side of the probe centerline. These
ports correspond to ports P2 and P3 on the DAT probe. To yaw null, the probe is rotated to obtain
a zero differential pressure between the two Fechheimer ports. The yaw angle is read from the
C2-20
-------
digital inclinometer. With the Fechheimer ports nulled, the Kiel cylinder impact port is aligned with
the flow. The differential pressure between the impact and static ports (i.e., wake port) is recorded.
The one- and two-dimensional probe calibration procedure consists of the following steps:
1. Set the wind tunnel gas velocity, as determined by the standard pitot tube, to 30 fps
(ฑ2 fps). Record the pressure readings necessary to calculate the actual wind velocity
from the tunnel's standard pitot.
2. Insert the tested probe with the probe tip positioned at the center of the wind tunnel test
section. Set the pitch angle position of the probe to 0ฐ.
3. Rotate the probe to determine the yaw null position using the procedures previously
described for the respective probe type. At the yaw null position, record the actual
alignment of the probe as indicated by the digital inclinometer.
4. Record the differential pressure reading provided by each of the three pressure device
types. Make five replicate readings while at this probe position.
5. Increase the wind tunnel speed to 60 fps and repeat steps 3-4.
6. Repeat steps 34 at 90 fps.
7. Repeat steps 1-6 to obtain a series of duplicate calibrations for the probe.
Differential pressures for the one- and two-dimensional probes and the NIST standard pitot tube will
be measured in addition to the yaw null angle. These measurements will be recorded on a data form
similar to the one presented as Table 5. The averaged value resulting from the five replicate pressure
readings will be used to calculate the probe's calibration coefficient, Cp, at each velocity using the
following equation:
c^
AP,
where,
Cp = calibration coefficient;
APstd = differential pressure for the standard pitot tube; and
APt = differential pressure for the tested probe.
4.4 THREE-DIMENSIONAL PROBE CALIBRATION
All three-dimensional probe calibrations are conducted with the probe tip positioned at the center
of the wind tunnel test section. The DAT and spherical probes are yaw nulled by rotating the probe
until a zero differential pressure between ports P2 and P3 is obtained. The yaw angle is determined
using the digital inclinometer. Calibration curves specified in draft Method 2F will be derived at 30,
60, and 90 fps. The three-dimensional probe calibration procedure consists of the following steps:
C2-21
-------
Table 5. One- and Two-Dimensional Probe Calibration
Probe ID:
Side:
Date:
Nominal
Velocity
30
60
90
Replicate
Reading
1
2
3
4
5
Average
1
2
3
4
5
Average
1
2
3
4
5
Average
Standard
Pitot Probe
AP*d
Yaw
Angle
Tested
Probe
AP,
-
Temperature
(ฐF)
Calculated
cv
"..
i
"" ,*J s '';-' '' "' ""*"**
''--:.-.'?. :'<>''
Note: No yaw angles will be obtained for the one-dimensional probes.
1. Set the wind tunnel gas velocity, as determined by the standard pitot tube, to 30 fps
(ฑ2 fps). Record the pressure readings necessary to calculate the actual wind velocity
from the tunnel's standard pitot.
2. Set up the protractor platform to establish the pitch angles to within ฑ1 ฐ.
3. Insert the probe with the probe tip positioned at the center of the wind tunnel test
section.
4. Position the probe at the -30ฐ pitch position.
C2-22
-------
5. Rotate the probe to find the yaw null position (P2-P3 reading is zero) using the
magnehelic gauge that is used solely for the yaw null readings. Read and record the
actual alignment of the probe as indicated by the digital inclinometer (should be within
ฑ2ฐ of 0ฐ).
6. Record the P!-P2 and P4-P5 pressure readings provided by all three pressure device types.
Make five replicate pressure readings while at this yaw and pitch angle position. Ensure
that the probe has remained in the same position during the readings.
7. Repeat steps 4-6 at pitch angles of-25ฐ, -20ฐ, -15ฐ, -10ฐ, -5ฐ, 0ฐ, 5ฐ, 10ฐ, 15ฐ, 20ฐ,
25ฐ, and 30ฐ at 30 fps.
8. Repeat steps 4-7 at velocities of 60 fps and 90 fps.
9. Repeat steps 1-8 to obtain a series of duplicate measurements for the probe.
10. Average the Ft and the F2 ratios obtained for each pitch angle in the three flow ranges,
and plot a calibration curve with the average values versus the pitch angle. Draw a
smooth line through the data points. For each measured F, data value at each velocity,
determine the pitch angles and the corresponding F2 values from the smoothed-out
calibration curve. Determine the differences from the actual measured angles and F2
values. For F,, the difference at each comparison must be within ฑ2 ฐ for all angles. For
F2 values, the difference should not exceed ฑ3.0 percent from the F2 ratio at the same
pitch angle. If agreement is not within these specifications, resolve the problem and
repeat the calibration.
Differential pressures for the three-dimensional probes and the standard pitot tube will be measured
in addition to the yaw null and pitch angles. These measurements will be recorded on a data form
similar to the one presented as Table 6. The averaged F, and F2 values resulting from the two sets
of five replicate pressure readings will be used to calculate the probe's calibration curves at each
velocity.
5.0 CALIBRATION REPORTS
For each type of tested probe, NIST will prepare a report containing calibration coefficients and/or
calibration curves (as appropriate) for each specific probe tested. The reports will include the items
listed below and any additional information specified in EPA's Methods 1, 2, and draft 2F. The
reports will be produced in NIST's Special Test Report format.
* For each one-- and two-dimensional probe, separate calibration coefficients will be derived
at 30,60, and 90 fps.
*
* For three-dimensional probes, the following will be included: (1) a calibration curve of F,
or (P4 - P5)/(P, - P2) readings against known pitch angles; (2) a calibration curve of the three-
dimensional pitot coefficient F2 or Cps [(Pt - PS)/(P, - P2)]'/2 against known pitch angles (where
Cps is the standard pitot tube coefficient); and (3) tables of the constituent values used to
produce these calibration curves. The sample calibration curves are illustrated in Figure 2F-4
in draft Method 2F.
C2-23
-------
Two sets of calibration curves will be produced for each three-dimensional probe: one set
derived by averaging measurements taken at 30 and 60 fps at each pitch angle; the other
derived by averaging the measurements taken at 30, 60, and 90 fps at each pitch angle.
Table 6, Three-Dimensional Probe Calibration
Probe ID:
Repetition:
Nominal Velocity:
Date:
Pitch Angle
(degrees)
-30ฐ
-25ฐ
-20ฐ
-15ฐ
-10ฐ
-5ฐ
0ฐ
5ฐ
10ฐ
15ฐ
20ฐ
25ฐ
30ฐ
Standard Pitot
APltd (in. H20)
Tested Probe
Yaw Angle
(degrees)
Velocity
Pressure P(-P2
(in. H2O)
Pitch Pressure
PrPs (in. H20)
-*
Temperature
fF)
For each probe, three separate sets of calibration results will be calculated using the
pressure measurements obtained by each of the three pressure measurement devices (i.e.,
inclined manometer, magnehelic gauges, and electronic pressure devices).
The calibration reports will include the pertinent documentation on the specifications of
the wind tunnel, pressure measurement devices, and associated equipment used in the
calibrations.by NIST. As appropriate, the type of information shall include: model
number, serial number, copies of certificates of traceability, calibration data or report,
pressure rating, temperature rating, operating range, scale divisions, accuracy,
repeatability, and linearity.
C2-24
-------
6.0 WIND TUNNEL TEST SCHEDULE
The probe calibrations will be conducted during the period of December 1,1997 through January
31,1998, EPA prefers that the calibrations be conducted in the order the probes are listed in
Table 7.
Table 7. Testing and Reporting Deadlines
Probe Type
Autoprobe
DAT
Spherical
French
Modified Kiel
Type S
Prandtl
Probe
Copies
5
4
8
4
4
4
4
Deadlines
Completion of Probe Testing
10 working days after commencement
of calibrations
15 working days after commencement
of DAT probe calibrations
30 working days after commencement
of work on this group of probes
Submittal of Calibration Reports
1 5 working days after completion
of wind tunnel testing of this probe
type
15 working days after completion
of wind tunnel testing of this probe
type
15 working days after completion
of wind tunnel testing of this probe
type
C2-25
-------
Table C2-1. One- and Two-Dimensional Probe Calibration Summary at 60 fps
Probe
Type
Prandtl
French
TypeS
Autoprobe
TypeS
Modified
Kiel
Probe
Identification
PR-1
PR-2
PR-3
PR-4
FR-1
FR-2
FR-3
FR-4
S-10
S-ll
S-12
S-13
26
26
28
33
36
MK-1
MK-2
MK-3
MK-4
NCSU Post-Test
Cp
0.982
0.970
0.972
0.970
0.705
0.699
0.711
0.699
0.790
0.797
0.796
0.797
0.784
0.785
0.779
0.780
0.775
0.734
0.747
0.746
0.744
NIST
Cp
0.997
0.989
0.989
0.989
0.709
,_ 0.709
0.710
0.709
0.802
0.805
0.791
0.809
0.794
0.793
0.796
0.792 "
0.785
0.748
0.749
0.751
0.747
Percent
Difference *
-1.5
-1.9
-1.7
-1.9
-0.6
-1.4
0.1
-1.4
-1.5
-1.0
0.6
-1.5
-1.3
-1.0
-2.1
-1.5
-1.3
-1.9
-0.3
-0.7
-0,4
% difference = [(NCSU Cp - NIST Cp) / NIST Cp] x 100
TABC21.WK4
C2-26
-------
Table C2-2. DAT Probe Calibration Summary (avg. of 30 ft/sec and 60 ft/sec results)
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
c
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Probe
E-DAT
K-DAT
C-DAT
T-DAT
NCSU Post-Test
Calibration (9/17/97)
Fl
-0.47729
-0,41179
-0.33238
-0.27050
-0.17458
-0.09484
-0.04309
0.02609
0.07471
0.18289
0.23620
0.31763
0.49202
-0.67962
-0.51028
-0.39533
-0.27409
-0.19434
-0.14155
-0.07720
-0.03789
0.04340
0.10894
0.20755
0.27048
NIST Calibration
F2 Fl
1.04146 -0.6284
1.02660
1.01820
1.00592
0.99515
0.99446
0.98117
0.97781
0.97584
0.97622
0.96001
0,95254
0.96902
1.09017
1.07095
1,04927
1.03074
1.02551
1.01992
1.01573
1.01276
1.00771
0.99405
1.00064
1.01247
0.42102 J_ 1.03204
-0.52181 ! 1.06801
-0.40618
-0.32820
-0.22282
-0.16584
-0.09747
-0.03737
0.02572
0.08663
0.17102
0,25366
0.33780
0.43037
-0.61006
-0.49503
-0.40612
-0.32021
-0.19589
-0.10389
-0.03684
0.00205
0.071 1 1
0.15823
0.24249
0.32914
0.45190
1.04594
1.02184
1.02023
1.01749
1.01995
1.01671
1.01470
1.01136
1.00686
1.00621
1.01476
1.03342
1.08948
1.07029
1.05069
1.01940
1.00938
1.00686
1.00477
1.00477
1.00519
1.00060
0.99736
0.98776
1.00371
-0.4982
-0.3965
-0.3081
-0.2047
-0.1161
-0.0482
0.0260
0.0846
0.1619
0.2365
0.3050
0.3946
-0.7111
-0.5640
-0.4220
-0,3126
-0.2051
-0.1182
-0.0385
0.0220
0.0907
0.1634
F2
Percent
Difference *
F2
1.0828 -3.8
1.0728 -4.3
1.0681 1 -4.7
1.0522
1.0253
1.0035
0.9991
-4.4
-2.9
-0.9
-1.8
0,9923 i -1.5
0.9884 1 -1.3
. 0.9915
0.9712
-1.5
-1.2
0.9543 j_ -0,2
0.9590 1.0
1.1122 ! -2.0
1.0959 1 -2.3
1.0668
1.0454
1.0102
1.0021
1.0038
0.9917
0.9941
0.9911
0.2447 | 0.9965
0.3540 1 1.0150
0,4847 1,0351
-0.6400
-0.5008
-0.3932
-0.2912
-0.1970
-0.0986
-0.0290
0.0291
0.1102
0.2016
0.2720
0,3709
0.4939
-0,7395
-0.5841
-0.4506
-0.3355
-12147
-0.1197
-0.0478
0.0347
0.0916
0.1772
0,2644
1.1084.
1.0782
1.0676
1.0511
1.0365
1.0341
1.0294
1.0177
1.0277
1.0271
1.0163
-1.6
-1.4
1.5
1.8
1.2
2.1
1.4
0.3
0.4
-0.2
-0.3
-3.6
-3.0
-4.3
-2.9
-1.8
-1.4
-1.2
-0.3
-1.6
-2.0
-1.0
1.0331 I -1.8
1.0606 ! -2.6
1.1229 [ -3,0
1.1002
1.0807
1.0559
1.0196
1.0110
0.9998
0.9926
0.9977
1.0060
1.0030
0.3578 1.0044
0.4791 1.0289
-2.7
-2.8
| -3.5
-1.0
-0.4
0.5
1.2
0.8
-0.5
-0.6
-1.7
-2.4
* % difference = [(F2,NCSU - F2,NIST)/F2,NIST] * 100
TABC22.WK4
C2-27
-------
Table C2-3, Spherical Probe Calibration Summary (avg. of 30 ft/sec and 60 ft/sec results)
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Probe
SPH-1
SPH-2
SPH-3
SPH-4
NCSU Post-Test
Calibration (10/28/97)
Fl
-2.12646
-1.95761
-1.65031
-1.38776
-1.00297
-0.69172
-0,34915
0.01025
0.26544
0.87006
1.32029
1.74062
2.13709
F2
1,17587
1.09101
1.02602
0.99855
0.98009
0.98173
0.98672
0.98857
NIST Calibration
Fl J_ F2
-2.2370 | 1.2087
-2.0694
-1.7947
-1,4816
-1.1667
-0.6811
-0,3117
0,0349
1 0.99892 0.4277
1.01677
1.04538
1.08355
1.13068
-2.14775 | 1.17257
-1.94227
-1.65462
-1.35578
-0.90879
-0.63303
-0.26920
0.05729
0.47572
0.98936
1.37530
1.84329
2.25874
-2.23533
-2.01675
-1.74154
-1.49391
-1.10075
-0.74510
-0.33037
-0.03384
0.25483
0.63445
1.24244
1.07439
1.02820
1.00790
0.99823
0.99718
.00100
.00640
.01637
.03248
.05809
.09745
.14724
.18953
.08661
.02635
.00552
0.99151
0.99066
0.99234
0.99864
1.00292
1.01380
1.03652
1.61737 1 1.06755
2.09201 1 1.11341
-2.20009
-1.92268
-1.60999
-1.32574
-0.89706
-0.60567
-0.25178
0.06062
0.32925
0.82478
1.33843
1.77231
2.15674
1.16874
1.07962
1.02322
0.99006
0.97509
0.97170
0.97607
0.8334
1.2392
1.6265
2.1648
-2.1840
-2.0150
-1.7490
-1.4020
-1.0612
-0.6842
-0.2952
0.0642
0.4859
0.9116
1.3427
1, 7777
2.2379 |
-2.3510
-2.0610
-1.9406
-1.5993
-1.2163
-0.8341
-0.4436
-0.0366
0.3676
0.7807
1.1901
1.1256
1.0597
1.0214
0.9990
0.9802
0.9946
1.0031
1.0180
1,0330
1.0583
1.0810
1.1605
1.2061
1.1157
1.0585
1.0243
1.0096
1.0050
1.0132
1.0158
1.0224
1.0456
1.0763
1.1139
Percent
Difference *
K
-2.7
-3.1
-3.2
-2.2
-1.9
0.2
-0.8
-1.4
-1.9 '
-1.6
-1.2
0.2
-2.6
-2.8
-3.7
-2.9
-1.6
-1.1
-0.8
-1.2
-0.9
-0.6
-1.3
-1.7
-1.5
1.1737 [ -2.3
1.2379
1.1717
1.0729
-3.9
-7,3
-4.3
1.0361 j -3.0
1.0136
1.0035
1.0035
1.0088
1.0145
1.0273
1.0504
1.6322 | 1.0954
2.0593 | 1.1370
-2.1872
-2.0128
-1.7697
-1.4466
-1,0566
-0.6704
-0.2476
0.98572 ! 0.0339
0.99217 0.4440
1.01502 1 0,8508
1.03856
1.06775
1.12065
1.2300
1.6642
2.1221
1.2213
1.1398
1.0669
1.0233
0.9990
0.9881
0.9891
0.9976
1.0126
1.0312
-2.2
-1.3
-1.1
-1.0
-1,1
-1.3
-1.3
-2.5
-2.1
-4.3
-5.3
-4.1
-3.2
-2.4
-1.7
-1.3
-1.2
-2.0
-1.6
1.0535 j_ -1.4
1.0907 -2.1
1.1428 -1.9
TABC23.WK4
C2-28
-------
Table C2-3. Spherical Probe Calibration Summary (avg. of 30 ft/sec and 60 ft/sec results)
Pitch
Angle
-30
-25
-20
-IS
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-30
-25
-20
'-15
-10
-5
0
5
10
15
20
25
30
Probe
SPH-5
SPH-6
SPH-7
SPH-8
NCSU Post-Test
Calibration (10/28/97)
Fl
-2,27879
-1.95097
-1.54001
-1.10060
-0.73793
-0.44354
-0,18369
0.19631
0.50876
1.08404
1.48072
1,86276
2.10885 ,
-2.16231
-1,81260
-1.49662
-1,18116
-0,76907
-0,48800
-0.18109
0.15412
0,53255
0.99557
1.38745
1,81183
2.25039
-2.18520
-1.80142
-1.44563
-1.09269
-0.83170
-0.53457
-0.18819
F2
1,19951
1.13528
1.08156
1,05388
1.02990
1.02344
1.02205
1.01459
1.01732
1.02480
1.03773
1.07463
NIST Calibration
. Fl F2
-2.4318 1.2584
-2.1467 | 1.1784
Percent
Difference *
F2
-4.7
-3.7
-1.7378 1.1198 -3.4
-1.2937 1.0765
-0.9006
-0.5260
-0.1248
0.2280
0.6454
1.0507
1.4486
1.8150
1,09140 2.1894
1.14134 I -2.3019
1,08237 I -2.0821
1.04584
1.02707
1.01371
1.00490
1.00400
1.00183
1.00731
-1.7429
-1.3610
-0.9807
-0,6276
-0.2459
0.1280
0.5215
1.01355 ] 0.9296
1.03072 1,3452
1,07877 1 1.7774
1.12163
1.15387
1.09037
1.04902
1.02596
1.01677
1.01245
1.01494
0.13233 1 1.01375
0.50150 1.01774
0,98704 1.02570
1,42972
1,89976
1.04411
1.09336
2.32735 ]_ 1.13959
-2.35084
-1.95211
1.19240
1.12833
-1.63320 | 1.08383
-1.28440
-0.90671
-0.62033
-0.24374
0.04126
0.29266
0.70049
1.32750
1.74116
1.04855
1.03263
1,02223
1.02366
1.02593
1.02939
1.03535
1.05388
1.08455
2.2700
-1.9706
-1.6847
-1.3534
-1,0429
-0.7189
-0.4188
-0,0677
0.2643
0.6339
-2.1
1.0479 j -1.7
1.0285 -0.5
1.0313 1 -0.9
1.0256 j -1.1
1.0226 1 -0.5
1.0307 1 -0.6
1.0503
1.0833
1.1314
1.1948
1.1303
1.0823
1.0481
1.0233
1.0100
1.0078
1.0133
1,0130
1.0260
1.0468
1.0924
1.1524
1.1800
1.1218
1.0747
1,0426
1.0209
1.0209
1.0213
1.0225
1.0288
-1.2
-0.8
-3.5
-4.5
-4,2
-3.4
-2.0
-0.9
-0,5
-0.4
-1.1
-0,6
-1.2
-1.5
-1.2
-2.7
-2.2
-2.8
-2.4
-1.6
-0.4
-0.8
-0.6
-0.9
-1.1
1.0030 ) 1.0434 j -1.7
1.4063
1.8274
1.0732
1.1174
2.3323 j_ 1.1864
-2.5527 1 1.2420
-2.1881 1 1.1698
-1.7840
-1.3273
-1.0752
-0.7004
-0.3088
0.0940
0.4996
0.9088
1.3435
1.8000
1.1128
1.0824
1.0547
1.0420
1.0438
1.0464
1,0511
-2.7
-2.2
-3.9
-4.0
-3.5
-2.6
-3.1
-2.1
-1.9
-1.9
-2.0
-2.1
1.0623 ' -2.5
1.0838
1.1251
-2.8
-3.6
2.13603 ! 1.13172 2.2502 > 1.1840 i -4.4
% difference = [(F2,NCSU - F2,NISTyF2,NIST] * 100
TABC23.WK4
C2-29
-------
This Page Intentionally Left Blank
C2-30
-------
ATTACHMENT A.
Prandtl Probe Calibration Data
C2-31
-------
Table C2-4. Prandtl Probe Calibration Results
Probe
I.D.
PR-1
PR-2
PR-3
i
PR-4
Velocity
Point
30
60
90
Avg.
30
60
90
Avg.
30
60
90
Avg.
30
60
90
NCSU Post-Test
Magnehelic
Gauge
(Cp)
0.987
0.982
0.987
0.985
0.979
0.970
0.975
0.975
0.981
0.972
0.975
0.976
0.982
0.970
0.975
Avg, | 0.976
NIST Calibration (December 1997)
Electronic
Manometer
(Cp)
1.0018
0.9978
Inclined
Manometer
(Cp)
1.0026
0.9970
0.9962 I 0.9974
0.9986
0.9923
0.9903
0.9903
0.9990
0.9899
0.9885
0.9907
0.9910 0.9897
0.9929
0.9897
0.9892
0.9906
0.9901
0.9895
0.9892
0.9896
0.9941
0.9890
0.9909
0.9913
0.9887
0.9887
0.991 1
0.9895
Magnehelic
Gauge
(Cp)
1.0132
0.9990
1.0107
1.0076
0.9931
0.9943
1.0062
0.9979
0.9936
0.9889
1.0034
0.9953
0.9927
0.9911
1.0032
0,9957
% Difference in Cp (NIST - NCSU Calibration) *
Electronic
Manometer
(%)
-1.5
-1.6
-0.9
-1.3
-1.3
-2.0 ,
-1.5 |
-1.6
-1.2
-1.8
-1.4
-1.5
-0.8
Inclined
Manometer
(%)
-1.6
-1.5
-1.0
-1.4
-1.1
-1.9
-1.6
-1.5
-1.3
-1.7
-1.6
-1.5
-0.7
-2.0 -1.9
-1.4 | -1.6
-1.4
-1.4
Magnehelic
Gauge
(%)
-2.6
-1.7
-2.3
-2.2
-1.4
-2.4
-3.1
-2.3
-1.3
-1.7
-2.8
-1.9
-1.1
-2.1
-2.8
-2.0
Q
% difference = [(NCSU Cp - NIST Cp) / NIST Cp] x 100
TABC24.WK4
-------
a,
o
H
on
g
T3
D
00
U
g
(U
3.0% r
2.0%
1.0%
0.0%
ง -1.0% -
I
it-l
P
-2.0% u
-3.0%
30
Figure C2-1. Prandtl Probe Calibration Coefficients
NCSU Post-Test and NIST Calibrations
r
_ PR-l
^ PR-2
+ PR-3
-e PR-4
60
Tunnel Velocity (ft/sec)
90
TABC24.WK4
-------
This Page Intentionally Left Blank
C2-34"
-------
ATTACHMENT B.
French Probe Calibration Data
C2-35
-------
Table C2-5. French Probe Calibration Results
Probe
I.D,
FR-1
FR-2
FR-3
|
FR-4
Velocity
Point
30
60
90
Avg.
30
60
| 90
Avg,
30
80
90
Avg.
30
60
90
Avg,
NCSU Post-Test
Magnehelic
Gauge
(Cp)
0.722
0.705
0.704
0.710
0.718
0.699
0.699
0.705
0.715
0.711
0.719
0.715
0.712
0.699
0.699
0.703
NIST Calibration (December 1997)
Electronic
Manometer
(Cp)
0.7106
0.7090
0.7097
0.7098
0.7100
0.7087
0.7096
0.7094
0.7092
0.7107
0.7210
0.7136
0.7103
0.7099
0.7111
0.7104
Inclined
Manometer
(Cp)
0.7119
0.7093
0.7109
0.7107
0.7099
0.7093
0.7106
0.7099
Magnehelic
Gauge
(Cp)
0.7197
0.7166
0.7117
0.7160
0.7181
0.7161
0.7111
0.7151
0.7089 I 0.7183
0.7100 I 0.7166
0.7223
0.7137
0.7118
0,7094
0.7114
0.7109
0.7234
0.7194
0.7182
0.7170
0.7134
0.7162
% Difference in Cp (NIST - NCSU Calibration) *
Electronic
Manometer
(%)
1.6
-0.6
-0.8
0.1
1.1
-1.4
-1.5
-0.6
0.8
0.0
-0.3
0.2
0.2
-1.5
-1.7
-1.0
Inclined
Manometer
(%)
1.4
Magnehelic
Gauge
(%)
0.3
-0.6 I -1.6
-1.0 I -1.1
-0.1
1.1
-1.5
-1.6
-0.6
0.9
0.1
-0.5
0.2
0.0
-1.5
-1.7
-1.1
-0.8
-0.0
-2.4
-1-7
-1.4
-0.5
-0.8
-0.6
-0.6
-0.9
-2.5
-2.0
-1.8
o
* % difference = [(NCSU Cp - NIST Cp) / NIST Cp] x 100
TABC25.WK4
-------
o
K)
Figure C2-2. French Probe Calibration Coefficients
NCSU Post-Test and NIST Calibrations
FR-1
FR-3
FR-4
60
Tunnel Velocity (ft/sec)
90
TABC25.WK4
-------
This Page Intentionally Left Blank
C2-38
-------
ATTACHMENT C.
Type S Probe Calibration Data
C2-39
-------
Table C2-6. Type S Probe Calibration Results
Probe
I.D.
S-10
S-11
S-12
S-13
Velocity
Point
30
60
90
Avg.
30
60
90
Avg.
30
60
90
Avg.
30
60
90
Avg.
NCSU Post-Test
Magnehelic
Gauge
(Cp)-
0.811
0.790
0.798
0.800
0.825
0.797
0.805
0.809
0,812
0.796
0.804
0.804
0.813
0.797
0.807
0.806
NIST Calibration (December 1997)
Electronic
Manometer
(Cp)
0,7974
0.8015
0.8021
0.8003
0.8030
0.8035
0.8023
0.8029
0.7826
0.7893
0.7891
0.7870
0.8047
0.8079
0.8081
0.8069
Inclined
Manometer
(Cp)
0.8011
0.8022
0.8043
0.8025
0.8073
0.8051
0.8054
Magnehelic
Gauge
(Cp)
0.8023
0.8054
0.8053
0.8043
0.8053
0.8063
0.8061
0.8059 | 0.8059
0.7873
0.7909
0.7922
0.7901
0.8063
0.8088
0.8108
0.8086
0,7879
0.7940
0.7923
0.7914
0.8079
0.8097
0.8092
0.8089
% Difference in Cp (NIST - NCSU Calibration) *
Electronic
Manometer
(%)
1.7
-1.4
-0.5
-0.1
2.7
-0.8
0.3
Inclined
Manometer
(%)
1.2
-1.5
-0.8
-0.4
2.2
-1.0
-0.0
0.8 | 0.4
3.8
0.8
1.9
2.2
1.0
-1.3
-0.1
3.1
0.6
1.5
1.8
0.8
-1.5
-0.5
-0.2 | -0.4
Magnehelic
Gauge
(%)
1.1
-1.9
-0.9
-0.6
2.4
-1.2
-0.1
0.4
3.1
0.3
1.5
1.6
0.6
-1-6
-0.3
-0.4
o
to
* % difference = [(NCSU Cp - NIST Cp) / NIST Cp] x 100
TABC26.WK4
-------
D<
u
H
oo
4.0%
3,0%
2.0% -
D
Q L0ฐ/0
0.0%
-------
This Page Intentionally Left Blank
C2-42
-------
ATTACHMENT D.
Autoprobe Type S Calibration Data
C2-43
-------
Table C2-7. USTI Autoprobe Type S Calibration Results
Probe
LD.
26
27
28
33
36
Velocity
Point
30
60
90
Avg.
30
60
90
Avg.
^J30__
60
U_J*0__
Avg.
30
60
90
Avg.
30
60
90
Avg.
NCSU Post-Test
Magneheiic
Gauge
(Cp)
0.802
0.784
0.793
0.793
0.801
0.785
0.795
0.794
0.794
0.779
0.792
0.788
0.796
0.780
0.788
0.788
0.781
0.775
0.785
0.780
NIST Calibration (December 1997)
Electronic
Manometer
(Cp)
0.793
0.795
0.797
0.795
0.793
0.793
0.793
0.793
0.792
0.797
0.796
0.795
0.787
0.792
0.793
0.791
0.784
0.786
0.787
0.785
Inclined
Manometer
(Cp)
0.794
0,794
0.797
0.795
0.794
0.793
0.793
0.793
0.793
0.796
0.796
0.795
0.788
0.792
0.794
0.791
0.785
0.785
0.787
0.786
Magneheiic
Gauge
(Cp)
0.792
0.795
0.799
0.795
0.793
0.793
I 0.792
0.793
0.797
0.795
0.796
0.796
0.788
0.793
0.795
0.792
0.785
0.785
0.785
0.785
% Difference in Cp (NIST - NCSU Calibration) *
Electronic
Manometer
(%)
1.2
-1.3
-0.5
-0.2
1.1
-1.0
0.3
0.1
0.2
-2.2
-0.5
-0.8
1.1
-1.6
-0.7
-0.4
-0.4
-1.4
-0.2
-0.6
Inclined
Manometer
(%)
1.1
-1.3
-0.5
-0.2
0.9
i -1.0
I 0.2
0.0
0.1
-2.2
-0.5 _j
-0.9
1.0
-1.5
-0.7
-0.4
-0.5
-1.3
-0.2
Magneheiic
Gauge
(%)
1.2
-1.3
-0.8
-0.3
1.0
-1.0
L_ ฐ-4
0.1
-0.3
-2.0
-0.5
-1.0
1.0
-1.6
-0.8
-0.5
-0.5
-1.3
0.0
-0.7 | -0.6
o
K)
% difference = [(NCSU Cp - NIST Cp) / NIST Cp] x 100
TABC27.WK4
-------
3.0%
-3.0%
30
Figure C2-4. USTI Autoprobe Type S Calibration Coefficients
NCSU Post-Test and NIST Calibrations
ป26
7^27
+ 28
^ 33
w 36
60
90
Tunnel Velocity (ft/sec)
TABC27.WK4
-------
This Page Intentionally Left Blank
C2-46
-------
ATTACHMENT E.
Modified Kiel Probe Calibration Data
C2-47
-------
Table C2-8, Modified Kiel Probe Calibration Results
Probe
I.D.
MK-1
MK-2
MK-3
I
MK-4
Velocity
Point
30
60
90
Avg.
30
60
90
Avg.
30
60
90
Avg.
30
60
u^_JXL__
NCSU Post-Test
Magnehelic
Gauge
(Cp)
0.748
0.734
0,732
0.738
0.750
0.747
0.733
0.743
0.752
0.746
0.731
0.743
0.752
0.744
0.732
NIST Calibration (December 1997)
Electronic
Manometer
(Cp)
0.7534
0.7483
0.7465
0.7494
0.7551
0.7484
0.7450
0.7495
0.7643
0.7504
0.7477
0.7541
0.7599
0.7460
0.7444
Avg. | 0.743 I 0.7501
Inclined
Manometer
(Cp)
0.7574
0.7483
0.7474
0.7510
0.7586
0.7485
0.7462
0.7511
0.7675
0.7508
0.7500
0.7561
0.7635
0.7471
0.7465
0.7524
Magnehelic
Gauge
(Cp)
0.7583
0.7546
0.7479
0.7536
0.7583
0.7548
0.7481
0.7537
0.7632
0.7556
0.7490
0.7559
0.7641
0.7512
0.7470
0.7541
% Difference in Cp_ (NIST - NCSU Calibration) *
Electronic
Manometer
(%)
-0.7
-1.9
-1.9
-1.5
-0.7
-0.2
-1.6
-0.8
Inclined
Manometer
(%)
-1.2
-1.9
-2.1
-1.7
-1.1
-0.2
-1.8
-1.0
-1.6 | -2.0
-0.6
-2.2
-1.5
-1.0
-0.3
-1.7
-1.0
-0.6
-2.5
-1.7
-1.5
-0.4
-1.9
-1.3
Magnehelic
Gauge
(%)
-1.4
-2.7
-2.1
-2.1
-1.1
-1.0
-2.0
-1.4
-1.5
-1.3
-2.4
-1.7
-1.6
-1.0
L -2-0
I T5 ~
o
K)
* % difference = [{NCSU Cp - NIST Cp) / NIST Cp] x 100
TABC28.WK4
-------
O
3.0%
2.0%
1.0%
CO
Q
a 0.0%
&>
-------
This Page Intentionally Left Blank
C2-50
-------
ATTACHMENT F.
E-DAT Probe Calibration Data
C2-51 '
-------
Figure C2-6. E-DAT: Avg. (30-60 fps) Fl vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
0.6
0.4
0,2
-0.2
-0.4
-0.6
-0.8
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test + NIST
j
Note: Each point represents the mean of three replicates. |
FC26-8.WK4
-------
Figure C2-7. E-DAT: Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
1.10 ,
CM
0.94
-30
-25
-20 -15
-10
-5
10
15
20
Pitch Angle (degrees)
NCSU Post-Test + NIST
Note: Each point represents the mean of three replicates. \
25
30
FC26-8.WK4
-------
2.C
1.0
0.0
CM
C
-------
Table C2-9. Entropy DAT Probe: NIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25 ,
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST 30-60 Calibration
Resultant
Angle
Jdegrees)
24.48
21.47
16,61
Directional
Velocity
(fps)
31.07
32.04
31.93
13.00 |_ 32.03
7.98
31.83
4.94 | 31.73
1.21
4.66
9.31
14.67
18.38
25.10
30.09
31.52
31.44
31.50
31.38
31.53
31.30
30.92
Axial
Velocity
(fps)
28.23
29.76
30.55
31.21
31.52
31.59
31.50
31.29
31.07
30.34
29.91
28.33
26.75
30 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
27.66
25.40
19.83
15.09
9.58
6.53
1.97
4.96
9.62
13.83
17.76
24.25
27.97
Directional
Velocity
(fps)
30.31
30.86
30.74
30.95
31.18
31.35
31.09
30.97
31.08
30.99
31.19
31.19
31.02
Axial
Velocity
(fps)
26.83
27.82
28.85
29.87
30.74
31.12
31.05
30.80
30.62
30.08
29.69
28.43
27.39
% Change
Resultant
Angle
13.01
18.33
19.36
16.04
20.13
32.19
63.59
6.29
3.35
-5.73
-3.36
-3.39
-7.06
Directional
Velocity
Axial
Velocity
-2.44 | -4.93
-3.67
-3.74
-3.37
-2.05
-1.20
-1.37
-1.50
-1.34
-1.26
-1.08
-0.35
0.31
-6.51
-5.58
-4.27
-2.47'
-1.48
-1.44
-1.55
-1.42
-0.87
-0.75
0.35
2.40
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST 30-60 Calibration
Resultant
Angle
Jdegrees)
28.16
22.18
18.79
14.46
8.18
3.30
0.89
3.23
7.58
15.09
20.36
Directional
Velocity
(fps)
61.51
62.83
62.79
62.30
60.69
59.80
60.51
60.66
60.53
60.47
60.67
25.65 I 60.75
30.08 I 60.93
Axial
Velocity
(fps)
54.24
58.17
59.45
60.31
60.00
59.67
60.50
60.55
59.96
58.38
56.87
54.76
52.72
60 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
30.02 | 59.46
27.21
22.69
17.18
9.72
4.51
1.24
3.10
7.81
14.08
20.26
24.75
27.59
60.66
60.34
60.07
59.45
59.17
59.56
59.70
59.69
59.65
60.03
60.62
61.02
Axial
Velocity
(fps)
51.49
53.92
55.67
57.36
58.52
58.94
59.54
59.60
59.10
57.85
56.31
55.05
54.08
% Change
Resultant
Angle
Directional
Velocity
6.62 i -3.34
22.68
20.75
18.78
18.88
36.62
40.44
-4.17
3.11
-6.66
-0.46
-3.51
-8.30
-3.46
-3.90
-3.57
-2.05
-1.07
-1.57
-1.57
Axial
Velocity
-5.08
-7.31
-6.35
-4.89
-2.47
-1.23
-1.58
-1.56
-1.39 | -1.44
-1.35
-1.05
-0.21
0.15
-0.90
-0.99
L ฐ'53
2.59
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
28.10
22.64
16.32
12.45
8.43
4.02
0.83
3.57
9.06
15.86
21.70
25.82
28.50
Directional
Velocity
(fps)
91.44
93.39
93.07
91.58
90.03
89.02
89.68
90.85
90.21
89.93
88.71
89.91
90.47
Axial
Velocity
(fps)
80.66
86.19
89.31
89.42
89.05
88.70
89.67
90.65
89.07
86.51
82.42
80.93
79.51
90 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
30.01
27.93
19.85
14.24
10.09
5.09
0.65
3.50
9.67
Directional
Velocity
(fps)
88.31
90.31
89.65
88.57
88.02
87.78
88.14
89.44
89.01
14.62 88.85
21.45
25.02
26.58
88.01
Axial
Velocity
(fps)
76.46
79.79
84.32
85.83
86.66
87.29
88.13
89.24
87.74
85.97
81.91
89.71 j 81.29
90.43 I 80.87
% Change
Resultant
Angle
6.82
23.34
21.62
14.42
19.62
26.70
-21.68
-2.22
6.77
Directional
Velocity
-3.43
-3.30
-3.67
-3.29
-2.23
Axial
Velocity
-5.20
-7.43
-5.59
-4.01
-2.69
-1.39 | -1.59
-1.71
-1.56
-1.33
-7.79 -1.20
-1.16 -0.79
-3.11 -0.22
-6.73 I -0.05
L_-1H
I ___
-1.50
-0.62
-0.62
0.45
1.71
TABC29.WK4
C2-55
-------
o
t-J
Figure C2-9. E-DAT Probe: Percent Difference in NCSU Post-Test and NIST Wind Tunnel Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
4
3
P 2
GO
V5 1
o -1
cu
D .o
8
5, -3
1 -4
1 "5
-8
: ! ; ' 1 fi
' ' . i it*^
--~M JBr
^^^^M^^L^^M^^^^
, /f^9 TT""
#*'
I -^ - - - -
-M >>^ i :
= %x jt/ _ _ : . : . ; . ; ;
E; V^ ;- ; ; ;-- ; ; ;" ; ; ; -
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
-- 30 fps
-ฉ- 60 fps
ฑ 90 fps
TABC29.WK4
-------
Table C2-10. E-DAT Computations: 30fps
Probe: E-DAT / with NIST 30-60 Calibration
Velocity Point: 30 fps Cal Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.60
0.00
29.60
28.84
28.73
NA
0
30.16
0.4
14,7
14.8
9.00
Probe ID: E-DAT
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4,53%
Avg Temp: 88 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I 61
Readings, in.H2O
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw/
T dW
Angle
-0.5
-0.6
-0.6
-0.5
-0.6
-0.6
-0.2
-0.3
-0.5
-0.4
-0.4
-0.5
-2.7
-0.6
-0.1
-0.1
-0.2
-0.2
-0.2
-0.1
-0.3
-0.2
-0.2
-0.2
0.0
-2.5
-0.2
-0.2
-0.1
-0.1
-0.2
0.0
0.0
0.0
-0.1
-0.1
-0.1
-0.4
-2.3
P4-P5.
-0.120
-0.100
-0.080
-0.060
-0.040
-0.035
-0.020
-0.010
0,010
0.025
0.040
0.060
0.090
-0.080
-0.075
-0.060
-0.050
-0.030
-0.020
-0.010
0.010
0.020
0.035
0.050
0.075
0.095
-0.080
-0.070
-0.055
-0.050
-0.035
-0.020
-0.010
0.010
0,020
0.040
0.050
0.075
0.090
P1-P2
0.180
0.190
0.195
0.200
0.210
0.210
0.210
0.214
0.215
0.215
0.218
0.225
0.224
0.185
0.190
0.191
0.200
0.207
0.210
0.210
0.211
0.213
0.210
0.220
0.226
0.215
0.186
0.190
0.194
0.200
0.205
0.210
0.210
0.210
0.215
0.215
0.221
0.225
0.220
Temp, F
91
90
90
90
90
90
90
90
89
89
89
89
89
91
91
91
91
91
91
91
91
91
91
92
92
92
90
90
90
90
90
90
90
90
90 .
90
91
91
91
Average
Pitch
-30.0
-26.1
-20.7
-14.6
-9.2
-7.9
-3.5
0.1
6.8
12.0
16.4
22.2
30,0
-21.8
-19.9
-15.3
-12.2
-6.6
-3.5
0.0
6.8
10.6
15.3
19.4
26.5
30.0
-21.7
-18.4
-13.8
-12.2
-8.1
-3.5
0.0
6.8
10.5
16.6
19.3
26.6
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
f^l p. - 32.03
%_^f"/\:
f " *i>" 's'
31
31
31
83
73
52
feffi>! 31.44
\F* ".'js^'*'"
"' *s&''\
i '-..'" |
L "Wr? .
31
31
31
31
30
.50
.38
.53
.30
.92
s, n/sec
Axial
26.33
28.93
30.36
31.24
31.78
31.71
31.52
31.77
31.34
30.83
30.32
29.07
26.97
29.41
30.12
30.55
31.20
31.43
31.55
31.51
31.10
30.87
30.12
29.68
28.01
26.50
28.94
30.23
30.76
31.17
31.34
31.52
31.48
31.00
30.99
30.09
29.74
27.90
26.79
Vax
28.23 I
29.76
30.55
31.21
31.52
31.59
31.50
31.29
31.07 i
30.34 |
29.91 i
28.33 I
26.75 ,
"TABC210.WK4
C2-57
10/09/98
-------
Table C2-11. E-DAT Computations: 60 fps
Probe: E-DAT / with NIST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.60
0.00
29.60
28.84
28.73
NA
0
58,12
0.6
15.2
15.2
9.77
Probe ID: E-DAT
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
%Satur.: 4.81%
Avg Temp: 90 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
L
0
j
Readings, in.H20
Pitrh
r IIM I
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-1.1
-1.2
-0.1
-0.5
-0.2
0.0
-0.3
-0.2
-0.1
-0.3
-0.4
-0.4
-3.9
-1,3
-0.4
-0.4
-0.3
-0.2
-0.3
0.0
0.0
-0.1
-0.1
-0.4
-0.1
-3.0
-1.0
-0.4
-0.5
-0.4
-0.2
0.0
0.0
-0.2
-0.3
-0.4
-0.2
-0.4
-4.0
P4-P5
-0.400
-0.300
-0.265
-0.195
-0.080
-0.045
-0.020
0.020
0.075
0.145
0.210
0.280
0.330
-0.400
-0.320
-0.280
-0.230
-0.160
-0.090
-0.040
-0.010
0.030
0.120
0.190
0.280
0.350
-0.480
-0.340
-0.280
-0.235
-0.150
-0.075
-0.045
-0.010
0.030
0.120
0.196
0.250
0.340
P1-P2
0.720
0.730
0.730
0.750
0.750
0.750
0.790
0.800
0.800
0.800
0.830
0.850
0.850
0.720
0.730
0.740
0.740
0.745
0.750
0.770
0.780
0.780
0.780
0.820
0.850
0.850
0.670
0.720
0.730
0.740
0.750
0.750
0.760
0.770
0.780
0.780
0.820
0.850
0.850
Gas
Temp, F
92
92
92
92
92
92
92
92
92
92
93
93
93
93
93
93
93
93
93
93
93
93
93
93
93
93
91
91
92
92
92
92
92
92
92
92
92
92
92
Average
ซ AN
m PS ii.
Pitch Resultant
-27.2
-20.7
-18.1
-12.7
-4.3
-0.9
1.5
4.9
10.6
16.3
21.2
26.4
29.6
-27.2
-22.1
-19.0
-15.2
-10.5
-5.2
-0.3
2.4
6.1
14.5
19.7
26.4
30.0
-30.0
-23.7
-19.3
-15.5
-9.7
-3.8
-0.8
2.4
6.1
14.5
20.2
24.2
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
27.2
20.7
18.1
12.7
4.3
0.9
1.6
4.9
10.6
16.3
21.2
26.4
29.9
27.2
22.1
19.0
15.2
10.5
5.2
0.3
2.4
6.1
14.5
19.7
26.4
30.1
30.0
23.7
19.3
15.5
9.7
3.8
0.8
2.4
6.1
14.5
20.2
24.2
30.2
Res
28.16
22.18
18.79
14.46
8.18
3.30
0.89
3.23
7.58
15,09
20.36
25.65
30.08
Pt-Ps
0.8355
0.8339
0.8235
0.8108
0.7543
0.7498
0.7853
0.7879
0.7821
0.7782
0.7764
0.7762
0.7812
0
.8355
0.8358
0.8391
0
0
.8200
.7872
0.7567
0
0
0
0
0
0
.7690
.7736
.7668
.7663
.7755
.7762
0.7817
0
0
.7244
.8268
0.8292
0.8219
0.7867
0.7537
0.7597
0.7637
0.7668
0.7663
0.7725
0.7785
0.7817
"f
I ',
I' '
_'
1 '
',
in
i"
i;
-S3*-" ' v
""SsiyTk {
*>!,ป>? ";
*"-,;ป
til" }
r "i ', '
.-> - ซ
,"~C&? t
H-jpf".'' '
ปr,;f
r^f
'^
_/..
Vslocitic
aซ ff/cean
Flow Dir Axial
62.96
62.90
62.51
62.02
59.82
59.64
61.04
61.14
60.92
60.76
60,75
60.74
60.93
63.02
63.03
63.15
62.43
61.17
59.97
60.46
60.64
60.37
60.35
60.71
60.74
60.96
58.57
62.57
62.72
62.45
61.09
59.80
60.04
60.19
60.31
60.30
60.54
60.77
60.90
Vdir
61.51
62.83
62.79
62.30
60.69
59.80
60.51
60.66
60.53
60.47
60.67
60.75
60.93
55.99
58,82
59.41
60.51
59.65
59.64
61.02
60.91
59.88
58.32
56.63
54.42
52.84
56.03
58.41
59.72
60.26
60.15
59.72
60.46
60.58
60.03
58.43
57.17
54.42
52.72
50.71
57.29
59.21
60.16
60.21
59.67
60.03
60.14
59.98
58.38
56.82
55.43
52.61
Vax
54.24
58.17
59.45
80.31
60.00
59.67
60.50
60.55
59.96
58.38 !
56.87
54.76
52.72 !
TABC211.WK4
C2-58
10/09/98
-------
Table C2-12. E-DAT Computations: 90 fps
Probe: E-DAT / with NIST 30-60 Calibration
Velocity Point: 90 fps
Number Of Points:
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/Ib-mole:
Molecular Wt. Wet, Ib/Ib-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pifrh Ynvu ...,.,..,< -. . An*;
i liirfli I a*v ซ vjdo
Rep Angle Angle P4-P5 P1-P2 Temp, F
39
29.60
0.00
29.60
28.84
28.73
NA
0
86.31
0.7
15.1
15.2
9.43
ซ AN
Pitch
Pre-test
Cal Date: 02/06/98
Probe ID: E_DAT
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
%Satur.: 5.13%
Avg Temp: 92 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
0
fl F-*-! ป V01f")Htifซ: ff/co/*
Resultant Pt-Ps FlowDir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-0.8
-0.8
-0.5
-0.7
-0.4
-0.5
-0.6
-0.5
-0.5
0.2
0.0
-0.8
-3.9
-1.2
-0.8
-0.2
-0.5
-0.1
-0.2
-0.2
-0.2
-0.4
-0.3
-0.4
-0.8
-4.4
-0.9
-0.6
-0.3
-0.5
-0.3
-0.4
-0.2
-0.2
-0.2
-0.2
-0.1
-0.5
-3.5
-0.890
-0.720
-0.550
-0.420
-0.300
-0.225
-0.065
-0.020
0.125
0.310
0.450
0.580
0.690
-0.900
-0.700
-0.520
-0.380
-0.270
-0.080
-0.050
0.060
0.150
0.300
0.480
0.600
0.700
-0,900
-0.740
-0.550
-0.450
-0.300
-0.210
-0.075
-0.020
0.110
0.300
0.450
0.600
0.650
1.550
1.600
1.620
1.630
1.630
1.640
1.700
1.750
1.750
1.730
1.770
1.850
1.860
1.550
1.600
1.640
1.630
1.640
1.650
1.700
1.750
1.730
1.730
1.800
1.870
1.900
1.550
1.600
1.630
1.640
1.650
1.650
1.680
1.750
1.750
1.750
1.740
1.850
1.857
88
89
90
91
91
92
92
93
93
93
94
95
95
98
98
98
97
97
97
96
98
96
95
94
94
92
92
93
94
94
95
95
96
96
96
97
97
97
98
-27.9
-22.6
-16.8
-12.6
-8.8
-6.2
0.7
2.5
8.9
16.2
21.3
25.5
28.7
-28.2
-22.0
-15,5
-11.4
-7.7
-0.0
1.3
5.7
10.1
15.8
22.2
25.9
28.5
-28.2
-23.2
-16.7
-13.4
-8.7
-5.6
0.2
2.5
8.1
15.6 .
21.6
26.1
27.5
27.9
22.6
16.8
12.6
8.8
6.2
0.9
2.5
8.9
16.2
21.3
25.5
28.9
28.2
22.0
15.5
11.4
7.7
0,2
1.3
5.7
10.1
15.8
22.2
25.9
28.8
28.2
23.3
16.7
13.4
8.7
5.6
0.3
2.5
8.1
15.6
21.6
26.1
27.7
1.8034
1.8338
1.8129
1,7602
1.6967
1.6688
1,6938
1.7351
1.7127
1.6847
1.6546
1.6864
1.7062
1.8051
1.8318
1.8213
1.7386
1.6912
1.6471
1.6911
1.7212
1.6904
1.6901
1.6720
1.7060
1.7424
1.6738
1.8358
1.8228
1.7858
1.7157
1.6708
1.6759
1,7351
1.7147
1.7115
1.6229
1.6884
1.6995
92.16
93.02
92.57
91.30
89.64
88.98
89.65
90.81
90.22
89.48
88.76
89.69
90.22
93.04
. 93.73
93.46
91.23
89.98
88.80
89.90
90.69
89.88
89.79
89.23
90.13
90.92
89.11
93.41
93.16
92.21
90.47
89.27
89.49
91.06
90,52
90.52
88.14
89.90
90.28
81.43
85.85
88.63
89.11
88.57
88.46
89.63
90.72
89.14
85.95
82.70
80.96
78.96
82.01
86.89
90.06
89.44
89.16
88.80
89.87
90.24
88.47
86.41
82.61
81.08
79.64
78.55
85.82
89.25
89.71
89.42
88.84
89.49
90.97
89.61
87.17
81.95
80.75
79.92
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
C2-59
28.10
22.64
16.32
12.45
8.43
4.02
0.83
3.57
9.06
15.86
21.70
25.82
28.50
91.44
93.39
93.07
91.58
90.03
89.02
89.68
90.85
90.21
89.93
88.71
89.91
90.47
Vax
"80.66
86.19
89.31
89.42
89.05
88.70
89.67
90.65
89.07
86.51
82.42
80.93
79.51
TABC212.WK4
10/09/98
-------
This Page Intentionally Left Blank
C2-60
-------
ATTACHMENT G.
K-DAT Probe Calibration Data
C2-61
-------
Figure C2-10. K-DAT: Avg. (30-60 fps) Fl vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
0.6
0.4
0.2 -
-0.2
-0.4 -
-0.6
-0.8
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
NCSU Post-Test ^ NIST
Note: Each point represeTitelhe^mearTof three replicalesT^
15 20 25 30
FC210-12.WK4
-------
Figurq C2-11. K-DAT: Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
U-
1.12 r
1,10
1.08
1.06
1.04
1.02
1.00 -
0.98
-30 -25 -20 -15
-10 -50 5 10
Pitch Angle (degrees)
15 20
NCSU Post-Test NIST
D
Note: Each point represents the mean of three replicates7|
FC210-12.WK4
-------
3.0
2.0
-------
Table C2-13. KEA DAT Probe: NIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
28.56
26.38
20.75
16.05
11.47
9.13
6.79
6.41
9.26
10.56
17.95
23.32
27.76
Directional
Velocity
(fps)
30.93
31.77
31.71
31.32
30.78
30.63
30.32
30.33
30.51
30.74
30.58
30.62
30.76
Axial
Velocity
(fps)
27.17
28.41
29.61
30.05
30.14
30.18
30.08
30.14
30.06
30.01
29.05
28.10
27.21
30 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
29.11
27.31
22.31
17.42
12.48
9.29
8.05
8.42
11.09
13.27
20.93
26.24
29.50
Directional
Velocity
(fps)
30.45
31.45
31.32
31.12
30.94
30.91
30.79
30.80
30.85
30.96
30.86
30.91
30.88
Axial
Velocity
(fps)
26.61
27.91
28.94
29.66
30.17
30.37
30.47
30.45
30.18
29.92
28.78
27.71
26.88
% Change
Resultant
Angle
1.93
3.51
7.50
8.51
8.83
1.73
18.45
31.30
19.31
25.72
16.57
12.54
6.25
Directional
Velocity
-1.54
-0.98
-1.22
-0.61
0.51
0.89
1.53
1.56
1.12
0.71
0.90
0.93
0.39
Axial
Velocity
-2.05
-1.74
-2.29
-1.30
0.08
0.62
1.30
1.06
0.39
-0.29
-0.93
-1.40
-1.22
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
26.99
21.38
15.75
12.18
10.34
5.99
3.18
4.97
8.62
16.11
20.26
25.26
29.33
Directional
Velocity
(fps)
58.03
60.54
60.17
,__ 60.09
59.87
59.20
58.84
58.75
59.00
59.64
60.65
60.02
60.70
Axial
Velocity
(fps)
51.73
56.36
57.80
58.69
58.85
58.79
58.74
58.47
58.05
57.29
56.88
54.27
52.91
60 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
28.31
22.87
17.07
13.32
11.07
4.95
5.51
7.91
12.24
18.68
23.49
28.04
30.02
Directional
Velocity
(fps)
57.53
59.80
59.86
60.39
60.44
60.04
59.65
59.52
59.29
60.03
61.28
60.51
60.68
r Axial
Velocity
(fps)
50.66
55.08
57.12
58.71
59.23
59.63
59.36
58.85
57.70
56.87
56.18
53.40
52.54
% Change
Resultant
Angle
4.91
6.97
8.39
9.31
--7.01
-17.38
72.93
59.22
42.07
15.95
15.95
10.98
2.35
Directional
Velocity_
Axial
Velocity
-0.87 j -2.07
-1.23 j -2.28
-0.52 i -1.18
0.50
0.95
1.41
1.37
1.30
0.49
0.66
0.04
I 0.66
1.44
1.06
0.65
-0.62
-0.74
1.05 j -1.23
0.81 ( -1.61
-0.03
-0.71
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
26.01
21.42
18.23
12.74
7.61
4.59
1.91
6.17
11.34
Directional
Velocity
(fps)
88.74
91.43
91.27
90.42
89.12
88.64
88.63
88.04
88.43
17.12 | 89.82
20.80 I 90.42
24.97
29.48
90.27
91.51
Axial
Velocity
(fps)
79.70
85.07
86.65
88.11
88.18
88.27
88.58
87.53
86.71
85.81
84.52
81.83
79.67
90 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
27.47
22.88
19.57
13.94
7.13
3.10
4.23
9.66
15.01
19.70
24.32
27.75
30.03
Directional
Velocity
(fps)
87.90
90.26
90.29
90.71
90.19
89.89
89.69
89.45
88.55
90.49
91.45
Axial
Velocity
(fps)
77.96
83.11
85.04
87.95
89.19
89.61
89.35
88.18
85.53
85.16
83.34
91.01 I 80.54
91.44 79.17
% Change
Resultant
Angle
5.62
6.78
7.33
9.45
-6.30
-32.37
121.51
56.69
32.39
15.06
16.90
11.16
Directional
Velocity
-0.95
-1.28
-1.08
0.32
1.20
1.41
1.19
1.60
0.14
0.75
Axial
Velocity
-2.20
-2.31
-1.86
-0.19
1.14
1.52
0.87
0.74.
-1.35
-0.76
1.14 | -1.41
0.83 i -1.57
1.86 I -0.08 ! -0.63
TABC213.WK4
C2-65
-------
n
to
OS
Ch
Figure C2-13. K-DAT Probe: Percent Difference in NCSU Post-Test and NIST Wind Tunnel Calibration
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
4
3
P 2
i i
* 1
1 0
*-ป
VI 1
o -1
P -2
1/3 ^
1-3
4)
1 "4
*4-1 "3
r ' . . ' j 1 '
E j ^^^xfesf^^- !- ^
- : .L^?/: '^^^^ssfeB^-
-ms^^^i^^^ -- - - : -' .^~~~^^-
: ;; ^
s _6 ^ . ; ; : ; ; ; ; .
-7
-8
,
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
-m- 30 fps
-ฉ- 60 fps
-ฑ- 90 ^>s
Pitch Angle (degrees) !
TABC213.WK4
-------
Table C2-14. K-DAT Computations: 30fps
Probe: K-DAT / with HIST 30-60 Calibration
Velocity Point: 30 fps Ca! Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard
Deviation:
30.12
0.00
30.12
28.84
28.73
NA
0
29.25
0.9
16,4
16.5
8,57
Probe ID: K-DAT
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur,: 3.84%
Avg Temp: 84 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wot:
r oi
Readings, in.H2O
Pitrh
i itirfl i
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Ynw/
I aw
Angle
0.6
0.8
0.8
0.8
0.9
0.9
0.9
0.8
1.7
0.9
1.7
0.9
0.8
0.5
0.6
0.6
0.5
0.6
0.3
1.4
1.3
1.3
1.2
1.3
1.3
0.2
1.1
1.4
1.4
1,4
0.9
0.9
0.8
0.8
0.9
0.9
0.8
1.0
0.7
P4-P5
-0.120
-0.115
-0.085
-0.065
-0.055
-0.045
-0.030
0.005
0.010
0.030
0.050
0.070
0.080
-0.110
-0.090
-0.070
-0.050
-0.035
-0.020
0.000
0.010
0.030
0.040
0.050
0.070
0.094
-0.160
-0.130
-0.100
-0.080
-0.050
-0.050
-0.040
-0.030
-0.030
-0.010
0.030
0.050
0.075
P1-P2
0.170
0.180
0.184
0.190
0.190
0.195
0.195
0.198
0.200
0.205
0.205
0.200
0.190
0.187
0.193
0.195
0.197
0.199
0.200
0.200
0.205
0.210
0.210
0,205
0.200
0.195
0.170
0.180
0.190
0.195
0.200
0.197
0.199
0.200
0.200
0.205
0.205
0.200
0.200
Gas
Temp, F
82
82
82
82
82
82
82
82
82
82
82
82
82
87
87
87
87
87
87
87
87
87
88
88
88
88
88
88
88
88
88
88
88
88
88
87
87
87
87
Average
ซ Ah.
tf^l CC ปป
**** fVP>i\ji_t-ปj * "-
Pitch Resultant
-29.8
-27.5
-21.4
-16.3
-13.9
-11.2
-7.1
5.2
7.0
13.8
20,0
24.8
27.6
-25.8
-21.6
-17.1
-12.3
-8.3
-3.9
3.2
6.9
13.6
16.7
20.0
24.8
29.9
-30.0
-30.0
-23.7
-19.5
-12.1
-12.3
-9.8
-6.8
-6,8
-0.6
13.8
20.2
25.8
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
29.8
27.6
21.4
16.4
14.0
11.2
7.1
5.3
7,2
13.9
20.0
24.8
27.6
25.8
21.6
17.1
12.3
8.3
3.9
3.5
7.1
13.6
16.7
20.0
24.8
29.9
30.0
30.0
23.7
19.5
12.1
12.3
9.8
6.9
6.9
1.1
13.8
20.3
25.8
Res
28.56
26.38
20.75
16.05
11.47
9.13
6.79
6.41
9.26
10.56
17.95
23.32
27.76
Pt-Ps
0,2101
0.2195
0.2127
0.2100
0.2047
0.2024
0
0
0
0
1971
1948
1971
2017
0.2035
0
0
0
2058
1998
2257
0.2234
0.2168
0.2075
0
2020
0.2010
0.1984
0.2020
0.2066
0.2070
0.2035
0.2058
0.2088
0.1879
0.2139
0.2250
0.2210
0.2101
0.2075
0.2029
0.2020
0.2020
0.2065
0.2017
0.1990
0.2074
tr _-
jkfe
fijlR
=-"'
|. u
i
ฃ-*~-
fT-
=-~
" >
!'-
I1 *
:ซS-*"jy
*|g|_Y|
^pf;-f>.J
fie*,
:""'"" S
-iskAj
"ป
'ซ<* ซ *
"ง,'4? *
f"~T- , !
VSIQCIfls
Flow Dir
31.01
31.70
31.20
31.00
30.61
30.44
30.04
29.86
30,04
30.38
30.53
30.69
30.24
32.29
32.13
31.65
30.96
30.55
30.47
30.28
30.55
30.90
30.96
30.69
30.86
31.09
29.49
31.47
32.27
31.98
31.19
30,99
30.65
30.58
30.58
30.89
30.52
30.32
30.95
Vdir
30.93
31.77
31.71
31.32
30,78
30.63
30.32
30.33
30.51
30.74
30.58
30.62
30.76
_ ftfcnf*
Axial
26.90
28.10
29.05
29.75
29.71
29.85
29.81
29.73
29.80
29.50
28.68
27.85
26.81
29.07
29.88
30.25
30.25
30.23
30.40
30.22
30.32
30.03
29.65
28,84
28.00
26.95
25.53
27.24
29.55
30.15
30.49
30.28
30.20
30.36
30.36
30.88
29.64
28.44
27.86
Vax
27.17
28.41
29.61
30.05
30.14
30.18
30.08
30.14
30,06
30.01
29.05
28.10
27,21
-TABC214.WK4
C2-67
10/09/98
-------
Tab!eC2-15. K-DAT Computations: 60 fps
Probe: K-DAT / with NIST 30-60 Calibration
Velocity Point: 60 fps Cai Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Mb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pitrh Yiw i
r Hwl 1 I dw __~~~~ ~
Rep Angle Angle P4-P5 P1-P2
1 -30 0.3 -0.400 0.650
-25 0.5 -0.310 0.680
-20 0.5 -0.240 0.720
-15 0.6 -0.170 0.750
-10 0.6 -0.135 0.750
-5 1.0 -0.075 0.750
0 0.4 -0.010 0.750
5 1.1 0.040 0.750
10 0.8 0.105 0.750
15 0.8 0.145 0.750
20 1.1 0.205 0.800
25 1.1 0.260 0.770
30 1.1 0.350 0.750
2 -30 0.7 -0.380 0.650
-25 0.6 -0.350 0.690
-20 0.8 -0.300 0.730
-15 0.7 -0.230 0.730
-10 0.8 -0.210 0.750
-5 0.8 -0.160 0.750
0 0.8 -0.090 0.750
5 0.8 -0.040 0.750
10 0.7 -0.030 0.750
15 0.8 0.130 0.800
20 0.9 0.180 0.800
25 0.9 0.280 0.750
30 1.3 0.350 0.750
3 -30 0.9. -0,400 0.600
-25 0.1 -0.290 0.690
-20 0.6 -0.170 0.700
-15 0.6 -0.160 0.750
-10 0.4 -0.140 0.750
-5 1.0 -0.070 0.750
0 0.9 -0.010 0.750
5 0.8 0.030 0.760
10 0.9 0.090 0.780
15 0.9 0.150 0.800
20 1.1 0.220 0.800
25 1.1 0.280 0.750
30 1.1 0.350 0.750
Gas
Temp, F
84
83
83
83
83
82
82
82
82
81
81
81
80
88
89
89
89
89
89
89
89
88
89
89
89
89
89
89
89
89
89
89
89
89
89
88
88
88
88
Average
30.12
0.00
30.12
28.84
28.73
NA
0
56.83
0.8
15.4
15.4
8.84
ซ AN
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d'.
Water, %:
% Satur.:
Avg Temp:
Last Row:
K-DAT
1.00
0.00
20.9
1
3.95%
84 _F
61
Volumetric Air Flow Rate,
SCFM Wet:
trsi PS .%
Pitch Resultant
-26.7
-21.2
-15.9
-11.0
-8.6
-3.9
2.1
7.3
13.4
16.8
20.5
24.3
29.3
-25.7
-23.0
-19.5
-15.1
-13.5
-10.4
-5.1
-0.9
-0.1
14.9
18.8
25.7
29.3
-28.5
-19.9
-11.8
-10.4
-8.9
-3.4
2.1
6.3
11.7
16.5
21.4
25.7
29.3
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
26.7
21.2
16.0
11.0
8.6
4.0
2.1
7.4
13.4
16.9
20.6
24.3
29.3
25.7
23.0
19.5
15.1
13.5
10.4
5.2
1.2
0.7
15.0
18.8
25.8
29.3
28.5
19.9
11.8
10.4
8.9
3.6
2.3
6.3
11.7
16.5
21.4
25.8
29.3
Res
26.99
21.38
15.75
12.18
10.34
5.99
3.18
4.97
8.62
16.11
20.26
25.26
29.33
Pt-Ps
0.7888
0.7841
0.7930
0.7763
0.7618
0.7537
0.7482
0.7392
0.7381
0.7397
0.7976
0.7890
0.7993
0.7839
0.8113
0.8275
0.7985
0.8032
0.7695
0.7534
0.7552
0.7557
0.7859
0.7923
0.7772
0.7993
0.6210
0.7848
0.7321
0.7695
0.7628
0.7540
0.7482
0.7484
0.7692
0.7884
0.8027
0.7772
0.7993
P- r-^^'i
r3s.;
o|
\/(3 1 A f*if i ซa c
V GlWWIlit-O,
Flow Dir
60.20
59.97
60.31
59.67
59.11
58.74
58.52
58.17
58.13
58.14
60.37
60.04
60.38
60.24
61.34
61.94
60.85
61.03
59.74
59.11
59.18
59.14
60.37
60.61
60.03
60.88
53.66
60.32
58.27
59.74
59.47
59.13
58.90
58.91
59.73
60.41
60.95
59.98
60.83
Vdir
58.03
60.54
-JOJ: ' i 60.17
,- ,.'^-7*
fefป-r-"i'
&"? f~,- "
. 60.09
' 59.87
59.20
*l<5v' '* 58.84
^-sJ^S^,
,"***: - - ,
* r*-^- j->, "
- " JST,* F
f, '-ffJfV"
ป '"1 1,
2 :-. / ....
58.75
59.00
59.64
60.65
60.02
^ 60.70
ftM^r-
iUSSfS\f
Axial
53.76
55.91
57.99
58.57
58.45
58.60
58.48
57.69
56.55
55.64
56.53
54.73
52.64
54.27
56.46
58.39
58.74
59.34
58.75
58.87
59.17
59.14
58.32
57.38
54.07
53.07
47.16
56.71
57.04
58.75
58.75
59.01
58.86
58.55
58.48
57.92
56.75
54.02
53.03
Vax
51.73
56.36
57.80
58.69
58.85
58.79
58.74
58.47
58.05
57.29
56.88
54.27
52.91 |
TABC215.WK4
C2-68
10/09/98
-------
Table C2-16. K-DAT Computations: 90fps
Probe: K-DAT / with HIST 30-60 Calibration
Velocity Point: 90 fps Cal Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ftfeec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Dit^H V*ซซ* /5i(ป
Rep Angle Angle P4-P5 P1-P2 Temp, F
30.12
0.00
30.12
28.84
28.73
NA
0
85.43
0.7
15.5
15.6
8.79
itf ฃ Af\J
Pitch
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
K-DAT
1.00
0.00
20.9
1
4.69%
90 F
61
Volumetric Air Flow Rate,
SCFM Wet:
r
ni CQ N,^
Resultant Pt-Ps
01
\ /i*.tmf***"ti-%rป fbifmr*.
VSIOCilISS, fl/ScC
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
0.4
0.6
0.7
0.6
0.5
0.7
0.7
0.6
0.7
0.6
1.0
1.1
1.3
0.5
0.4
0.5
0.6
0,4
0.7
0.5
0.5
0.6
0.7
0.7
0.8
1.2
0.2
0.9
0.7
0.6
0.4
0.6
0.5
0.8
0.9
1.0
1.0
0.9
1.4
-0.900
-0.650
-0.6QO
-0.400
-0.270
-0.140
-0.030
0.060
0.180
0.320
0.480
0.600
0.800
-0.900
-0.800
-0.680
-0.550
-0.400
-0.280
-0.130
0.070
0.180
0.320
0.450
0.600
0.780
-0.800
-0.700
-0.550
-0.360
-0.160
-0.140
-0.040
0.060
0.200
0.400
0.450
0.600
0.800
1.450
1.600
1.600
1.660
1.670
1.680
1.680
1.680
1.700
1.750
1.770
1.700
1.670
1.450
1.500
1.570
1.650
1.650
1.650
1.660
1.680
1.700
1.750
1.750
1.700
1.690
1.480
1.550
1.600
1.660
1.680
1.680
1.700
1.700
1.700
1.760
1.750
1.700
1.700
94
93
93
92
92
91
91
90
89
89
88
87
86
87
88
89
90
91
91
92
94
94
95
95
95
96
96
96
96
95
95
95
94
94
93
92
92
91
91
-26.9
-19.3
-17.9
-11.7
-7.5
-2.8
1.7
6.0
11.0
16.2
21.2
25.0
29.8
-26.9
-23.9
-20.4
-15.9
-11.7
-8.0
-2.5
6.4
11.0
16.2
20.6
25.0
29.1
-24.2
-21.0
-16.4
-10.5
-3.6
-2.8
1.2
6.0
11.9
18.9
20.6
25.0
29.5
26.9
19.3
17.9
11.7
7.5
2.9
1.8
6.0
11.1
16.2
21.2
25.0
29.8
26.9
23.9
20.4
16.0
11.7
8.0
2.5
6.5
11.1
16.2
20.6
25.0
29.1
24.2
21.1
16.4
10.6
3.6
2.9
1.3
6.0
11.9
19.0
20.6
25.0
29.5
1.7616
1.8105
1.7898
1.7341
1.6906
1.6896
1.6790
1,6538
1.6779
1.7235
1.7736
1.7508
1.7863
1.7616
1.7811
1.7945
1.8174
1.7253
1.6729
1.6698
1.6545
1.6779
1.7235
1.7452
1.7508
1.7984
1.5461
1.7843
1.7692
1.7072
1.6887
1.6896
1.7028
1.6735
1.6762
1.7437
1.7452
1.7508
1.8139
90.79
91.96
91.43
89.92
88.78
88.68
88.40
87.65
88.21
89.40
90.61
89.94
90.76
90.22
90.80
91.22
91.88
89.61
88.24
88.24
87.99
88.61
89.89
90.45
90.59
91.90
85.21
91.54
91.15
89.46
88.97
89.00
89.26
88.49
88.48
90.16
90.20
90.27
91.88
80.95
86.80
87.02
88.05
88.02
88.56
88.35
87.17
86.57
85.85
84.45
81.53
78.75
80.43
83.00
85.50
88.34
87.73
87.38
88.15
87.43
86.96
86.31
84.68
82.13
80.27
77.74
85.43
87.42
87.94
88.80
88.88
89.24
88.00
86.59
85.28
84.44
81.83
79.98
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Res
26.01
21.42
18.23
12.74
7.61
4.59
1.91
6.17
11.34
17.12
20.80
24.97
29.48
Vdir
;,.. ::,',, * 88.74
Iw5"^/, ' 91.43
JM-S? 'J, .*. 91.27
://= 90.42
, ,>>"'-~ 89.12
I , "'', (a 88.64
1 ,;, v- 88.63
..."v1'*',-^ 88.04
b'':~J", 90.27
t'^",, ป 91.51
Vax
79.70 I
85.07
86.65
88.11
88.18
88.27
88.58 |
87.53
86.71
85.81 ,
84.52
81.83
79.67 ;
TABC216.WK4
C2-69
10/09/98
-------
This Page Intentionally Left Blank
C2-70
-------
ATTACHMENT H.
C-DAT Probe Calibration Data
C2-71
-------
Figure C2-14. C-DAT: Avg. (30-60 fps) Fl vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25
Pitch Angle (degrees)
H NCSU Post-Test + NIST J
Note: Each point represents the mean of three replicates. I
30
FC214-16.WK4
-------
Figure C2-15. C-DAT: Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
1.12
1.10 -
1.08
1.06 h-
1.04
1.02 -
1.00
-30 -25 -20 -15
-10 -50 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test + NiST
Note: Each point represents the mean of three replicates.^}
FC214-16.WK4
-------
CM
LL
2.0
1.0 h
0.0
0) -1.0
O
c
E
I -2-0
i
w
O
i
4*.
O
-5.C
Figure C2-16. C-DAT: Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
Note: Each point represents the mean of three replicates. |
15 20 25 30
FC214-16.WK4
-------
Table C2-17. Cadmus DAT Probe 3D-3: NIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
26.05 j 31.78
22.11
18.07
13.44
8.76
6.13
3.75
3.81
6.36
10.70
16.50
24.36
28.89
33.32
33.64
33.64
33.25
33.02
32.92
32.86
32.79
33.30
33.21
32.82
33.24
Axial
Velocity
(fps)
28.42
30.80
31.96
32.70
32.84
32.77
32.84
32.72
32.53
32.68
31.81
29.89
29.11
30 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
27.25
25.98
21.79 |
16.85
10.79
7.13
3.91
3.99
7.19
12.28
18.00
26.12
30.03
Directional
Velocity
(fps)
31.25
32.64
32.73
32.81
| 32.68
Axial
Velocity
(fps)
27.71
29.25
30.36
31.39
32.04
32.50 | 32.14
32.53
32.42
32.45
32.78
32.69
32.43
32.58
32.45
32.24
32.13
31.99
31,07
29.12
28.21
% Change
Resultant
Angle
4.60
17.50
20.58
25.37
Directional
Velocity
-1.66
-2.04
Axial
Velocity
-2.48
-5.03
-2.72 I -5.02
-2.46
23.24 -1.72
-4.01
-2.44
16.29 -1.58 -1.91
4.01
4.67
13.14
14.75
9.07
-1.17 I -1.18
-1.34
-1.04
-1.46
-1.25
-1.55 { -2.11
-1.55
7.23 i -1.17
3.94 I -1.99
-2.34
-2.59
-3.08
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
25.77
20.67
17.89
12.40
6.25
2.43
1.41
5.71
10.73
15.41
19.56
25.55
29.34
Directional
Velocity
(fps)
60.19
61.82
62.34
61.61
61.08
60.91
60.80
60.36
60.57
60.83
61.66
61.92
61.68
Axial
Velocity
(fps)
54.20
57.84
59.31
60.13
60.67
60.84
60.78
60.02
59.48
58.65
58.10
55.83
53.77
60 fps / Post-test 30-60 Calibration
Resultant
Angle
(degreesl
29.79
24.98
21.41
15.67
7.05
2.12
1.65
6.56
12.21
17.19
20.74
27.66
30.01
Directional
Velocity
(fps)
58.99
60.47
60.45 ,
60.24
60.18
60.10
60.13
59.81
59.57
59.67
61.05
61.16
60.31
Axial
Velocity
(fps)
51.19
54.81
56.26
57.96
59.62
60.05
60.10
59.36
58.19
57.00
57.09
54.13
52.22
% Change
Resultant
Angle
15.59
20.83
19.65
26.42
12.91
-12.67
16.89
14.92
13.77
11.57
6.05
8.26
2.28
Directional
Velocity
Axial
Velocity
-2.00 [ -5.56
-2.18
-3.02
-2.22
-1.47
-5.23
-5.14
-3.60
-1.73
-1.32 ! -1.30
-1.10
-0.91
-1.65
-1.91
-0.99
-1.22
-2,23
-1.11
-1.09
-2.17
-2.80
-1.73
-3.05
-2.87
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
23.85
20.50
15.76
11.51
8.57
2.64
2.20
4.89
9.78
16.33
20.69
21.73
28.80
Directional
Velocity
(fps)
89.66
92.15
92.43
91.77
91.23
91.79
90.47
90.35
90.53
90.78
91.84
93.01
91.63
Axial
Velocity
(fps)
82.00
86.30
88.93
89.91
90.19
91.63
90.40
89.94
89.19
87.11
85.90
86.26
80.29
90 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
28.02
24.69
19.06
14.83
10.39
2.59
2.35
5.59
11.17
17.98
21.96
23.37 |
30.02
Directional
Velocity
(fps)
88.23
90.06
89.71
89.94
89.68
90.56
89.64
89.60
89.11-
89.20
90.92
91.79
89.84
Axial
Velocity
(fps)
77.88
81.82
84.77
86.92
88.15
90.40
89.54
89.09
87.40
84.84
84.30
84.11
77.79
% Change
Resultant
Angle
17.49 __,
20.42
20.96
28.86
21.16
-2.02
6.92
Directional
Velocity
-1.60
-2.26
-2.95
-2.00
-1.70
-1.34
Axial
Velocity
-5.02
-5.19
-4.68 -
-3.32
-2.26
-1.35
-0.92 I -0.95
14.37 -0.83 | -0.95
14.24
10.14
6.18
-1.57 I -2.01
-1.74 I -2.61
-1.00 -1.87
7.53 -1.31
4.23
-1.95
-2.49
-3.12
TABC217.WK4
C2-75
-------
Figure C2-17. C-DAT Probe: Percent Difference in NCSU Post-Test and NIST Wind Tunnel Calibration
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
9
i
o
Cu
C/3
O
-------
Table C2-18. C-DAT Computations: 30 fps
Probe: C-DAT / with N 1ST 30-60 Calibration
Velocity Point: 30 fps Cal Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
PlffH Y*1W Jiiin I r - rr C^ftf
Rep Angle Angle P4-P5 P1-P2 Temp
1 -30 0 -0.070 0.197
-25 0.1 -0.070 0.210
-20 0.2 -0.065 0.215
-15 0.2 -0.050 0.218
-10 0 -0.025 0.215
5 -0.1 -0.010 0.215
0 -0.1 0.000 0.215
5 -0.1 0.020 0.215
10 -0.1 0.026 0.216
15 0 0.045 0.226
20 0 0.060 0.222
25 -0.1 0.080 0.212
30 1.1 0.100 0.215
2 -30 -0.1 -0.135 0.190
-25 0.3 -0.105 0.205
-20 0.4 -0.085 0.215
-15 -0.1 -0.060 0.225
-10 0.4 -0.050 0.225
-5 0.6 -0.035 0.223
0 -0.4 -0.020 0.221
5 -0.1 -0.010 0.220
10 0.5 0.010 0.222
15 0.3 0.020 0.230
20 -0.1 0.050 0.231
25 0 0.075 0.224
30 1.1 0.100 0.215
3 -30 -0.8 -0.130 0.197
-25 -0.1 -0.100 0.210
-20 0.3 -0.080 0.220
-15 0.8 -0.065 0.225
-10 0.4 -0.040 0.225
-5 0.4 -0.040 0.222
0 0.5 -0.020 0.225
5 0.7 -0.010 0.225
10 -0.3 0.000 0.226
15 0.2 0.020 0.226
20 -1.2 0.040 0.229
25 -0.8 0.080 0.220
30 1.7 0.100 0.214
,F
79
79
79
79
79
79
78
79
79
79
79
79
78
90
90
89
89
89
88
88
88
88
88
88
87
87
88
87
87
87
87
87
87
87
87
87
87
87
87
Average
29.89
0
29.89
28.84
28,73
NA
0
31.62
0.38
14.52
14.53
9.04
ซ ANI{"^I
Pitch
-18.1
-17.1
-15.5
-11.7
-5.9
-1.3
2.5
8.9
10.6
14.9
19.9
25.3
28.8
-30.0
-25.4
-20.1
-13.7
-11.3
-8.0
-4.4
-1.2
6.0
8.6
16.1
23.2
28.8
-30.0
-23.9
-18.6
-14.9
-9.0
-9.1
-4.3
-1.1
2.5
8.7
13.5
24.6
28.9
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
1 Water, %:
% Satur.:
Avg Temp:
Last Row:
First Row
C-DAT
1
0
20.9
1
0.04
82.85 _F
61
23
Volumetric Air Flow Rate,
SCFM Wet
pQ **^i
Resultant Pt-Ps
18.1 0.2220
17.1 0.2350
15.5 0.2384
11.7 0.2365
5.9 0.2301
1.3 0.2284
2.5 0.2253
8.9 0.2261
10.6 0.2281
14.9 0.2384
19.9 0.2294
25.3 ' 0.2269
28.8 0.2390
30.0 0.2167
25.4 0.2394
20.1 0.2451
13.7 0.2468
11.3 0.2436
8.0 0.2391
4.4 0.2361
1.2 0.2336
6.0 0.2308
8.6 0.2416
16.1 0.2426
23.2 0.2363
28.8 0.2390
30.0 0.2137
23.9 0.2430
18.6 0.2485
14.9 0.2484
9.0 0.2415
9.2 0.2383
4.3 0.2403
1.3 0.2389
2.5 0.2368
8.7 0.2375
13.6 0.2417
24.6 0.2342
29.0 0.2381
Res
3 75
j'oi
o.O 1
24.36
28.89 gf^'iSS3
__j
\/olnr*itiac ft/ec
Flow Dir
31.91
32.84
33.07
32.94
32.49
32.37
32.12
32.21
32.35
33.07
32.44
32.26
33.08
31.85
33.48
33.85
33.96
33.74
33.40
33.18
33.01
32.81
33.57
33.64
33.17
33.35
31.57
33.64
34.02
34.01
33.53
33.31
33.45
33.35
33.20
33.25
33.54
33.02
33.29
Vdir
31 .78
33.32
33.64
33.64
33.25
33.02
32.92
32.86
32.79
33.30
33.21
32.82
33.24
*("*
U
Axial
30.33
31.39
31.86
32.25
32.32
32.36
32.09
31.82
31.80
31.97
30.51
29.18
28.97
27.58
30.24
31.78
32.99
33.08
33.07
33.08
33.00
32.63
33.19
32.33
30.49
29.21
27.34
30,76
32.25
32.87
33.12
32.89
33.35
33.34
33.17
32.87
32.61
30.02
29.13
Vax
2ff42"
30.80
31.96
32.70
32.84
32.77i
32.84
32.72 1
32.53!
32.68
31.81
29.89
29.11
TABC218.WK4
C2-77
04/19/99
-------
Table C2-19. C-DAT Computations: 60fps
Probe: C-DAT / with NIST 30-60 Calibration
Velocity Point: 60 fps Ca! Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard
Deviation:
29.89
0.00
29.89
28.84
28.73
NA
0
58.43
0.5
14.8
14.9
9.10
Probe ID: C-DAT
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.89%
Avg Temp: 84 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
L o|
Readings, in.H2O
Pitrh
1 llVrfll
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yuvu
I aW
Angle
0.0
-0.5
-0.5
-0,5
-0.4
-0,4
-0.8
0.0
-0.7
-0.7
-0.9
-0.4
-1.2
-0.4
-0.6
-0.4
-0.6
-0.3
-0.2
-0.8
0.0
-0.4
-0.5
-0.5
-0.8
-1.0
-0.3
-0.5
-0.3
-0.1
-0.2
-0.6
-0.7
-0.2
-0.9
-0.5
-0.9
-0.8
-0.5
P4-P5
-0.350
-0.300
-0.280
-0.225
-0.140
-0.060
-0.030
0.000
0.060
0.150
0.200
0.260
0.350
-0.360
-0.290
-0.250
-0.160
-0.070
-0.040
-0.010
0.050
0.120
0.160
0.220
0,300
0.350
-0.350
-0.290
-0.250
-0.160
-0.070
-0.040
-0.010
0.050
0.100
0.160
0.210
0,330
0.350
P1-P2
0,670
0.710
0.730
0.750
0.750
0.750
0.750
0.750
0.750
0.750
0.800
0.770
0.750
0.670
0.720
0.750
0.750
0.750
0.750
0.760
0.750
0.750
0.770
0.800
0.760
0.720
0.690
0.730
0.750
0.750
0.750
0.750
0.750
0.750
0.750
0.750
0.770
0.770
0.730
Gas
Temp, F
80
80
81
81
81
82
82
82
82
82
83
83
83
89
89
89
89
89
88
88
88
88
88
88
88
88
88
88
88
88
88
88
88
87
87
87
87
87
86
Average
ซ AN.
fll CC ซ*
^^ mNwi_i_t_? " ป-
Pitch Resultant
-25.8
-21.4
-19.5
-15.4
-9.5
-3.7
-0.8
2.5
8.1
14.9
18.4
23.3
28.9
-26.3
-20.4
-17.1
-10.9
-4.6
-1.7
1.4
7.3
12.7
15.4
20.2
26.0
29.7
-25,2
-20.2
-17.1
-10.9
-4.6
-1.7
1.3
7.3
11.3
15.8
20.0
27.3
29.4
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
25.8
21.4
19.5
15.4
9.5
3.7
1.1
2.5
8.2
14.9
18.5
23.3
28.9
26.3
20.5
17.1
10.9
4.6
1.8
1.6
7.3
12.7
15.4
20.2
26.0
29.7
25.2
20.2
17.1
10.9
4.6
1.8
1.5
7.3
11.3
15.8
20.1
27.4
29.4
Res
25.77
20.67
17.89
12.40
6.25
2.43
1.41
5.71
10.73
15.41
19.56
25.55
29.34
Pt-Ps
0.7857
0.8136
0.8296
0.8309
0.8054
0.8001
0.7959
0.7858
0.7864
0.7912
0.8318
0.8129
0.8341
0.7905
0.8221
0.8394
0.8097
0.8015
0.7973
0.8004
0.7839
0.7916
0,8108
0.8271
0.8196
0.8073
0.7644
0.8327
0.8394
0.8097
0.8015
0.7973
0.7899
0.7839
0.7919
0.7884
0
.7955
0.8426
0
S^r
!. ,+
,"""'
^ J.
-*;
f'*~-
V . *
".'
-V
!;
'ป '
.8162
". -;<ป'. '
^ป, ' !
,^7'T- i
~ '~.-' ;
**:' ' 1'j
^}\ซ '. V|
-;;, "' 1
-.ป.-*:" J "
'""*'" '; ? \
' '' !
;
VCHOCItlC
Flow Dir
60,10
61.15
61.81
61.85
60.90
60.75
60.59
60.21
60.23
60.42
62.00
61.29
62.09
60.78
61.98
62.63
61.51
61.20
60.98
61.10
60.47
60.76
61.50
62.11
61.83
61.36
59.71
62.32
62.57
61.46
61.14
60.98
60.70
60.41
60.72
60.59
60.86
62.63
61.59
Vdir
60.19
61.82
62.34
61.61
61.08
60,91
60,80
60.36
60.57
60.83
61.66
61.92
61.68
a./
S, TT/SSC
Axial
54,12
56.95
58.25
59.62
60.06
60.63
60.58
60.15
59.62
58.38
58.81
56.29
54.35
54.48
58.07
59.87
60.40
61.00
60.95
61.08
59.98
59.27
59.27
58.31
55.58
53.30
54.01
58.49
59.82
60.35
60.94
60.95
60.68
59.92
59.54
58.29
57.17
55,63
53.65
Vax
54,20
57.84
59.31
60.13
60.67
60.84
60.78
60.02 I"
59.48 I
58.65 '
58.10
55,83
53.77
TARH719WK4
C2-78 -
10/12/98
-------
Table C2-20. C-DAT Computations: 90 fps
Probe: C-DAT / with N1ST 30-60 Calibration
Velocity Point: 90 fps Cai Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
PStf h V*3W Jiiiinujujji . ..-..ป ,.,.. Gil*'"
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.89
0.00
29.89
28.84
28.73
NA
0
87.54
0.7
14.4
14.4
8.45
j j fti
Pitch
Probe ID:
Pitot Cp:
CO2, %d:
02, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
C-DAT
1.00
0.00
20.9
1
4.98%
91
61
_F
Volumetric Air Flow Rate,
SCFM Wet:
/^i r;o ^-^
Resultant Pt-Ps
0
\ / , ...
VCfOCIli&o, luoco
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-1.2
-0.8
-0.1
-1.1
0.0
-0.5
-0.1
-0.4
-1.1
-0.7
-1.1
-0.9
-1.1
-0.7
-0.2
-0.7
-0.8
-0.6
-0.5
-0.5
-0.5
-0.3
-0.6
-1,0
-1.2
-1.3
0.4
-0.8
-0.9
-0.9
-0.7
-1.3
-0.1
-0.4
-0.4
-1.2
-0.8
-0.9
1.2
-0.750
-0.640
-0.500
-0.350
-0.250
-0.070
0.000
0.100
0.210
0.370
0.470
0.620
0.750
-0.700
-0.670
-0.550
-0.410
-0.330
-0.180
-0.070
-0.020
0.130
0.350
0.550
0.400
0.740
-0.700
-0.600
-0.450
-0.350
-0.250
-0.060
0.010
0.080
0.190
0.380
0.460
0.610
0.750
1.500
1.600
1.630
1.650
1.650
1.750
1.650
1.650
1.650
1.650
1.700
1.800
1.640
1.510
1.550
1.620
1.640
1.630
1.640
1.650
1.650
1.650
1.650
1.720
1.700
1.560
1.510
1.580
1.640
1.650
1.650
1.650
1.650
1.670
1.650
1.700
1.750
1.730
1.630
93
93
93
92
92
91
91
90
90
89
88
87
85
90
91
92
93
93
93
94
94
95
95
95
96
96
99
99
99
99
98
98
98
97
97
97
96
96
94
-25.0
-20.3
-15.8
-10.8
-7.7
-0.8
2.5
6.9
10.9
16.6
20.2
23.7
28.5
-23.3
-21.8
-17.4
-12.8
-10.3
-5.6
-1.0
1.5
8.1
15.7
22.4
17.4
29.2
-23.3
-19.3
-14.1
-10.8
-7.7
-0.5
3.0
6.2
10.3
16.6
19.4
24.1
28.6
25.0
20.3
15.8
10.9
7.7
0.9
2.5
7.0
11.0
16.6
20.3
23.7
28.5
23.3
21.8
17.4
12.8
10.3
5.6
1.1
1.5
8.1
15.8
22.4
17.4
29.2
23.3
19.4
14.1
10.8
7.7
1.4
3.0
6.2
10.3
16.6
19.4
24.1
28.6
1.7435
1.8259
1.8095
1.7807
1.7689
1.8571
1.7287
1.7220
1.7423
1.7289
1.7585
1.9046
1.8167
1.7435
1.7794
1.8166
1.7900
1.7540
1.7547
1.7515
1.7370
1.7296
1.7352
1.8051
1.7754
1.7405
1.6296
1.7936
1.8030
1.7807
1.7689
1.7501
1.7246
1.7376
1.7426
1.7817
1.8125
1.8354
1.8078
90.59
92.71
92.29
91.47
91.16
93.32
90.04
89.79
90.31
89.88
90.57
94.17
91.80
90.34
91.35
92.39
91.79
90.86
90.88
90.88
90.50
90.39
90.54
92.34
91.66
90.76
88.05
92.38
92.62
92.05
91.66
91.17
90.50
90.76
90.89
91.91
92.62
93.20
92.33
82.11
86.93
88.82
89.83
90.34
93.31
89.96
89,12
88.66
86.13
84.97
86.24
80.65
82.99
84.81
88.17
89.50
89.40
90.45
90.86
90.47
89.50
87.13
85.35
87.45
79.20
80.89
87.16
89.81
90.40
90.83
91.14
90.38
90.24
89.43
88.08
87.37
85.08
81.02
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Vax
23.85
20.50
15.76
11.51
8.57
2.64
2.20
4.89
9.78
16.33
20.69
21.73
28.80
.'.- --5T . ,; 89.66
rr^f-yl 92.15
"^-^r-i 92.43
^%-f3%" I 91.77
..',- p; l;i 91.23
'''.:!!> .! 91.79
".- '. 90.47
.. ,fi?J-ป,\ 90.35
.''\;V 1 90.53
"' S.. '\ 90.78
:*>. I 91.84
._- -jj - | 93.01
1*3' . ' 91.63
82.00
86.30
88.93
89.91
90.19
91.63
90.40
89.94
89.19
87.11 '
85.90
86.26
80.29 !
TABC220.WK4
C2-79
10/12/98
-------
This Page Intentionally Left Blank
C2-80.
-------
ATTACHMENT I.
T-DAT Probe Calibration Data
C2-8I
-------
Figure C2-18. T-DAT: Avg. (30-60 fps) Fl vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
0,6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15
20
NCSU Post-Test
NIST
[Note: Each point represents the mean of three replicates. \
25
30
FC218-20.WK4
-------
Figure C2-19. T-DAT: Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
1.14
1.12 -
CM
u_
0.98
-30 -25
-20
-15 -10 -5 0 5 10
Pitch Angle (degrees)
15
20
25
30
NCSU Post-Test
NIST
Note: Each point represents the mean of three replicates. |
FC218-20.WK4
-------
0)
o
c
0)
I
2.0
1.0
o.o
-1.0
-2.0
-3.0
-4.0 L
Figure C2-20. T-DAT: Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
-30 -25 -20 -15 -10
-5
10 15
20
Pitch Angle (degrees)
Note: Each point represents the mean of three replicates. |
25 30
FC218-20.WK4
-------
Table C2-21. ISA DAT Probe: NIST vs. Post-test Calibrations at NC State Wind Tunne
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
3Q
30 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
27,99
25.13
22.31
16.60 ..
11.57
7.52
4.70
5.68
7.99
9.00
18.17
23.73
27.87
Directional
Velocity
(fps)
30.79
31.27
31.67
31.49
31.22
30.82
30.82
30.67
Axial
Velocity
(fps)
27.16
28.15
29.21
30.10
30.52
30.52
30.68
30.51
30.79 I 30.41
30.60
30.86
30.68
30.90
30,10
29.29
28.06
27.21
30 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
29.23
25.95
25.40
18.38
Directional
Velocity
(fps)
30.46
30.74
31.12
30.89
12.31 30.56
8.48
5.45
7.03
9.01
10.41
19.41
25.04
28.76
30.63
30.76
30.71
30.69
30.64
30.60
30.26
30.23
Axial
Velocity
(fps)
26.58
27.50
27.97
29.19
29.81
30.27
30.58
30.47
30.24
30.01
28.83
27.39
2649
% Change
Resultant
Angle
Directional
Velocity
4.40 ! -1.05
Axial
Velocity
-2.13
3.26 I -1.68 ' -2.30
13.87 I -1.74 I -4.26
10.73 i -1.91 I -3.01
6.34
12.82
-2.10 I -2.34
-0.61 I -0.84
16.05 i -0.21 I -0.34
23.60
12.73
15.65
6.81
5.52
0.14
^030^
0.12
-0.83
-1.37
3 20 -1 86
-0.14
-0.57
-0.28
u_ฃL55
-2.37
-2.66
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
20.99
18.86
13.41
10.65
6.90
3.54
3.30
5.47
8.80
15.24
20.88
25.60
30.04
Directional
Velocity
(fps)
58.45
59.63
59.52
60.58
60.02
59.58
59.12
59.14
Axial
Velocity
(fps)
54.57
56.38
57.74
59.48
59.54
59.35
59.02
58.77
59.26 | 58.26
60.20
60.83
60.20
60.70
58.04
56.82
54.26
52.55
60 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
23.97
21.06
14.64
11.50
7.74
4.38
Directional
Velocity
(fps)
57.20
58.39
58.69
59.66
59.69
59.58
4.95 j 59.50
6.89 59.61
9.50 I 59.34
16.41 i 59.95
22.21
26.85
30.29
_6.0.22
59.26
59.29
Axial
Velocity
(fps)
52.27
54.41
56.57
58.41
59.10
59.28
59.27
59.04
58.16
57.47
55.74
52.86
51.19
% Change
Resultant
Angle
14.18
11.65
9.19
7.98
12.13
23.73
50.16
25.81
7.91
7.63
6.36
4.87
0.84
Directional
Velocity
-2.14
-2.08
-1.41
-1.52
-0.56
-0.01
0.64
0.79
0.13
-0.41
-1.00
-1.55
-2.33
Axial
Velocity
-4.21
-3.50
-2.02
-1.79
-0.74
_JU2__
0.43
0.46
-0.17
-0.98
-1.90
-2.59
-2.58
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST 30-60 Calibration
Resultant
Angle
(degrees)
22.37
20.77
16.09
10.38
7.40
6.04
2.65
3.34
8.80
15.25
20.69
*
*
Directional
Velocity
(fps)
88.93
91.06
91.83
91.04
89.62
89.48
88.83
88.20
88.29
90.35
91.25
*
*
Axial
Velocity
(fps)
82.21
85.14
88.22
89.35
88.72
88.92
88.72
88.01
87.19
87,10
85.36
*
*
90 fps / Post-test 30-60 Calibration
Resultant
Angle
(degrees)
25.75
23.66
17.35
11.11
8.27
7.28 -
3.97
4.60
10.47
16.41
22.01
*
Directional
Velocity
(fps)
87.46
89.49
89.48
89.49
89.13
89.36
89,23
89.01
88.96
89.98
90.37
ป
ป
Axial
Velocity
(fps)
78.73
81.97
85.39
87.63
88.05
88.59
88.98
88.64
87.43
86.24
83.78
*
*
% Change
Resultant
Angle
15.12
13.90
7.81
7.05
11.84
20.56
49.84
37.91
18.99
7.60
6.37
Directional
Velocity
-1.65
-1.72
-2.55
-1.70
-0.55
-0.14
0.45
0.91
0.75
-0.41
-0.96
Axial
Velocity
-4.23
-3.73
-3.21
-1.92
-0.75
-0.37
0.29
0.72
0.28
-0.98
-1.85
Probe could not be nulled within +/- 0.2 inches H2O at 90 fps during pre-test calibration.
TABC221.WK4
C2-85
-------
O
N)
i
OS
OS
,
Figure C2-21. T-DAT Probe: Percent Difference in NCSU Post-Test and NIST Wind Tunnel Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
4
3
P
w 9
ป i z.
*
1 '
is o
S -i
GO -1
O
ฃ .2
u
o
ง i
t-, -J
,u
te
S -4
ฃ
-5
-6
; ; . ' i : i
1 i ! i
': ' ฃx^ฑq^r-~--~--_ :
_^^f^* *^^"^^X ! : '
,^^^^m^ ^ -m^^^ ,
Wr~ j| fcT^^"/* J| ! ^"""^^~__ A
\ / s ^^*~ i ' ^ i^HM
\/ ' Wt^^ ' ' '
--X----fcS -- --m - - : - -:-- ----- - ----- - .- ^ -----
fy( \^*- /^ , ' '
~ /^^\ / - , ^ : :
^pss- ||/ : .
1 I 1 I i 1 I I 1 i 1 II
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
-- 30 fps
-^ 60 fps
-*r 90 fps
TABC221.WK4
-------
Table C2-22. T-DAT Computations: 30fps
Probe: T-DAT / with NIST 30-60 Calibration
Velocity Point: 30 fps Cal Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Pitrh
i ill/I l
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
YSJVA/
I dW
Angle
0.8
0.9
0.8
0.9
0.8
0.8
0.8
1.7
1.6
1.6
2.3
3.0
2.9
0.9
0.4
0.4
0,6
0.5
0.5
0.1
1.0
1.1
2.1
2.1
2.3
3.1
1.3
1.3
0.2
0.2
0.2
1.0
1.1
1.1
1.1
1.5
2.2
2.2
2.2
Deviation:
29.71
0.00
29.71
28.84
28.73
NA
0
29.38
1.3
15.9
16.0
9.24
Probe ID: T-DAT
Pilot Cp: 1 .00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.76%
Avg Temp: 82 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
! o]
Readings, in.H2O
/inn -.ป AM/-5I CO -.-
P4-P5
-0.100
-0.070
-0.070
-0.050
-0.030
-0.020
-0.010
0.010
0.030
0.040
0.060
0.080
0.090
-0.170
-0.120
-0.100
-0.070
-0.060
-0.040
-0.030
-0.020
-0.030
0.010
0.040
0.060
0.090
-0.160
-0.150
-0.110
-0.090
-0.060
-0.040
-0.030
-0.030
-0.020
-0.020
0.040
0.060
0.070
P1-P2
0.180
0.190
0.192
0.195
0.196
0.197
0.200
0.200
0.200
0.200
0.200
0.195
0.195
0.170
0.170
0.173
0.187
0.197
0.197
0.200
0.199
0.200
0.200
0.205
0.200
0.195
0.180
0.170
0.180
0.185
0.190
0.199
0.200
0.200
0.200
0.200
0.202
0.202
0.199
x^ca\?
Temp, F
79
79
79
79
79
79
79
79
79
79
79
79
79
88
88
88
88
88
88
88
87
87
87
87
87
87
88
87
87
87
87
87
87
87
87
87
87
87
87
Average
" ป r^i
Pitch
-23.9
-16.4
-16.3
-11.7
-6.8
-3.7
-0.2
6.3
13.4
16.3
21.9
27.2
29.3
-30.0
-28.9
-24.8
-16.7
-13.7
-9.4
-6.6
-3.7
-6.6
6.3
16.0
21.9
29.3
-30.0
-30.0
-25.9
-21.3
-14.2
-9.3
-6.6
-6.6
-3.6
-3.6
16.2
21.7
24.7
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
1VJI-L-VJ *'*"
Resultant
23.9
16.5
16.3
11.8
6.8
3.8
0.8
6.6
13.5
16.4
22.0
27.3
29.4
30.0
28.9
24.8
16.7
13.7
9.4
6.6
3.8
6.7
6.7
16.2
22.0
29.4
30.0
30.0
25.9
21.3
14.2
9.3
6.7
6.7
3.8
3.9
16.3
21.9
24.8
Res
27.99
25.13
22.31
16.60
11.57
7.52
4.70
5.68
7.99
9.00
18.17
23.73
, 27.87
Pt-Ps
0.2162
0.2147
0.2166
0.2078
0.2015
0.2002
0.
0.
0.
2001
1976
2014
0.2021
0.2014
0.
2009
0.2050
0.2018
0.
2125
0.2091
0.
2118
0.2158
0.2044
0.
2055
0.2022
0.2055
0.1976
0.2072
0.2014
0.2050
0.1918
0.2018
0.2195
0.
2182
0.2095
0.2064
0.2055
0.2055
0.2032
0.2032
0.2041
0.2034
0.2007
ฃ5
si^s
tV
5S
^c?
'"jซ
iffe?
S3
H,?
^
its?'*
P^Ssr'
!?*ง
5feซ
t-S'%_'~ ' '
tr-*
, w. ' '"
tT ' *-
",I '- .
'. >
i -' " ;
,.ซ '.'
Velocities, ft/sec
Flow Dir Axial
31.59
31.48
31.62
30.97
30.50
30.40
30.39
30.20
30.48
30.54
30.49
30.45
30.76
30.77
31.58
31.32
31.53
31.83
30.97
31.06
30.78
31.03
30.42
31.15
30.72
30.99
30.00
30:74
32.06
'31.97
31.33
31.09
31.03
31.03
30.85
30.85
30.92
30.87
30.66
Vdir
30.79
31.27
31.67
31.49
31.22
30.82
30.82
30.67
30.79
30.60
30,86
30.68
30.80
28.87
30.19
30.35
30.32
30.28
30
30
33
38
30.00
29.64
29.30
28.27
27
06
26.80
26.65
27.64
28.44
30.20
30.92
30
30
30
55
85
71
30.82
30.22
29.92
28.47
26.99
25.98
26.62
28.85
29.78
30.37
30.68
30
82
30.82
30.78
30
78
29.67
28
65
27.84
Vax
27
28
1(j
15
29.21
30
30
30
10 I
52
52
30.68 |
30
51
30.41
30
10
29.29 |
28.06
27.21
-TABC222.WK4
C2-87
10/12/98
-------
TabteC2-23. T-DAT Computations: 60fps
Probe: T-DAT / with NiST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard
Deviation:
29.71
0.00
29.71
28.84
28.73
NA
0
57.29
1.0
14.1
14.1
8.88
Probe ID: T-DAT
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur,: 3.86%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
L
o
Readings, in.H2O
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Angle
0.1
0.2
0.2
0.6
0.5
0.2
0.6
0.7
0.4
0.9
1.6
0.6
1.9
0.2
0.2
0.5
0.3
0.3
0.4
0.3
1.3
1.4
0.7
2.0
2.5
4.8
0.0
0.1
0.6
0.5
0.5
0.6
0.6
0.2
1.2
1.2
2.0
2.2
5.6
P4-P5
-0.300
-0.300
-0.300
-0.230
-0.160
-0.140
-0.070
-0.040
-0.030
0.100
0.200
0.250
0.350
-0.310
-0.300
-0.160
-0.140
-0.090
-0.050
0.000
0.060
0.100
0.160
0.220
0.300
0.350
-0.300
-0.240
-0.160
-0.150
-0.100
-0.040
0.010
0.040
0.110
0,160
0.240
0.300
0.400
P1-P2
0.650
0.670
0.700
0.730
0.750
0.750
0.750
0.750
0.750
0.750
0.770
0.800
0.740
0.660
0.630
0.700
0.750
0.750
0.750
0.750
0.760
0.750
0.780
0.790
0.700
0.750
0.600
0.680
0.700
0.750
0.750
0.750
0.750
0.750
0.750
0.780
0.800
0.780
0.750
Temp, F
77
77
78
78
78
78
79
79
79
79
80
80
80
90
90
90
90
90
90
89
89
89
89
89
89
89
89
88
88
88
88
88
88
88
88
88
88
88
88
Average
Pitch
-20.4
-19.9
-19.0
-14.2
-9.9
-8.5
-3.2
-0.4
0.5
12.4
19.7
22.6
29.7
-20.7
-21.0
-10.6
-8.5
-5.0
-1.3
2.9
8.9
12.4
16.6
20.8
27.9
29.5
-21.9
-15.8
-10.6
-9.2
-5.7
-0.4
3.7
6.6
13.2
. 16.6
21.9
26.1
30.0
-30
-25
-20
-15
-10
-5
Q
5
10
15
20
25
30
l/^l CO >>
IVjl CO "^'^
Resultant
20.4
19.9
19.0
14.2
9.9
8.5
3.2
0.8
0.6
12.5
19.8
22,6
29.8
20.7
21.0
10.6
8.5
5.0
1.4
2.9
9.0
12.5
16.6
20.8
28.0
29.8
21.9
15.8
10.6
9.2
5.7
0.7
3.8
6.6
13.3
16,6
22.0
26.2
30.5
Res
20.99
18.86
13.41
10.65
6.90
3.54
3.30
5.47
8.80
15.24
20.88
25.60
30.04
Pt-Ps
0.7614
0.7816
0.8104
0.8046
0.7795
0.7758
0.7604
0.7510
0.7487
0.7526
0.7749
0.8060
0.7815
0.7748
0.7409
0.7338
0.7758
0.7666
0.7541
0
.7435
0.7548
0
0
0
.7526
.7879
.7951
0.7265
0.7901
0.6613
0
.7636
0.7338
0
0
.7777
.7685
0.7510
0.7417
0
0
0
0
.7414
.7546
.7879
.8057
0.7955
0
i">
Iv
T,
tl"
-ฃ
*"
V-,
^ ?
'.*
,"
*"'
y,
.7940
~"^" 1
^%,''|
jtifjf'i
\~~ *~ = "*
' "^S" |
,y^f - >
'*f ' ~~
af5$1?" |
5^*^; 1
4-ฃ, ">" 1
Cdir* ".I
. iP ' '{
-~r* >s
veiQGuie&, IUOGW
Flow Dir Axial
59.17
59.95
61.10
60.88
59.93
59.78
59.24
58.87
58.78
58.94
59.86
61.05
60.12
60.41
59.07
58.79
60.45
60.09
59.60
59.12
59.57
59.48
60.86
61.14
58.44
60.95
55.76
59.86
58.68
60.41
60.05
59.36
59.00
58.98
59.51
60.80
61.49
61.10
61.04
Vdir
58.45
59.63
59.52
60.58
60.02
59.58
59.12
59.14
59.26
60.20
60.83
60.20
60.70
55.46
56.38
57.76
59.03
59.03
59.12
59.15
58.87
58.78
57.55
56.32
56.37
52.16
56.50
55.16
57.79
59.78
59.86
59.58
59.04
58.84
58.07
58.32
57.14
51.59
52.87
51.75
57.61
57.68
59.62
59.75
59.36
58.87
58.59
57.92
58.26
57.01
54.82
52.61
Vax
"54757 t
56.38
57.74
59.48 |
59.54
59.35
59.02 j
58.77
58.26
58.04
56.82
54.26
52.55 |
-TABG223.WK4
C2-88
10/12/98
-------
Table C2-24, T-DAT Computations: 90fps
Probe: T-DAT / with NtST 30-60 Calibration
Velocity Point: 90 fps
Cai Date:
02/06/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in, Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
' Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.71
0.00
29.71
28.84
28.73
NA
0
87.17
0.6
10.3
12.2
7.27
ซ AK|
Pitch
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
T-DAT
1.00
0.00
20.9
1
4.54%
88 F
61
Volumetric Air Flow Rate,
SCFM Wet:
c
Resultant Pt-Ps
^ZZo]
V@IOCEtl6S, ft/SGC
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
0.0
0.2
0.5
0.8
0.0
0.3
0.4
'0.8
0.9
1.5
1.2
0.2
0.2
0.3
1.0
0.3
0.2
0.6
0.6
1.1
1.2
1,7
0.4
0.6
0.2
0,7
0.1
0.1
0.4
0.7
1.2
1.3
2.2
-0,800
-0.720
-0.600
-0.450
-0.350
-0.260
-0.160
-0.030
0.120
0.300
0.500
-0.750
-0,700
-0.520
-0.200
-0,140
0.000
0.020
0.070
0.200
0.400
0.500
-0.700
-0.700
-0.600
-0.500
-0,350
-0.300
-0.100
-0,020
0.080
0,230
0,450
1.450
1.500
1.560 -
1.670
1.660
1.650
1.670
1.650
1,650
1.700
1.750
1.470
1.500
1.560
1.630
1.630
1.690
1.650
1.630
1.670
1.730
1,750
1.460
1.500
1.650
1.660
1.670
1.660
1.680
1.700
1.660
1.710
1.750
83
85
86
87
88
89
89
90
90
91
92
97
97
96
96
96
95
95
94
93
92
91
86
87
88
89
89
90
91
92
93
93
93
-23.8
-21.1
-17.1
-12.3
-9.8
-7.0
-3.3
1.8
8.3
15.0
21.1
-22.2
-20.6
-14.9
-5.2
-2.6
2.9
3.6
5.7
11.6
18.1
21.1
-21.1
-20.6
-16.2
-13.6
-9.7
-8.2
-0.8
2.2
6.2
12.5
19.6
23.8
21.1
17,1
12.3
9.8
7.0
3.4
2.0
8.4
15.0
21.2
22.2
20.6
14.9
5.3
2.7
2.9
3.7
5,8
11.7
18.1
21.2
21.1
20.6
16.2
13.6
9.7
8.2
0,9
2.3
6.3
12.6
19.7
1.7402
1.7659
1.7746
1.7931
1.7245
1.6980
1.6944
1.6408
1.6369
1.7202
1.7616
1.7447
1.7595
1.7372
1.6670
1.6488
1.6753
1.6321
1.6084
1.6715
1.7444
1.7616
1,5677
1.7595
1.8610
1.8153
1.7345
1.7153
1.6855
1.6887
1.6395
1.7164
1.7614
89.95
90.78
91.09
91.65
89.96
89.34
89.25
87.S1
87.80
90.09
91.25
91.22
91.61
90.94
89.09
88.60
89.23
88.07
87.35
88.97
90.80
91.17
85.61
90.78
93.45
92.38
90.30
89.88
89.18
89.34
88.11
90.15
91.33
82.31
84.69
87.04
89.55
88.65
88.68
89.10
87.86
86.86
87.01
85.09
84.44
85.75
87.88
88.71
88.50
89.11
87.89
86.91
87.12
86.29
85.00
79.88
84.97
89.73
89.79
89.00
88.96
89.17
89.27
87.58
87.99
85.98
Res
Vdir
Average
* Probe could not be nulled within +/- 0.2 inches H2O.
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
22.37
20.77
16.09
10.38
7.40
6.04
2.65
3.34
8.80
15.25
20.69
88.93
91.06
91.83
91.04
89.62
89.48
88.83
88,20
88.29
90.35
91.25
Vax
82.21
85.14
88.22
89.35
88.72
88.92
88.72
88.01
87.19
87.10
85.36
TABC224.WK4
C2-89 .
10/12/98
-------
This Page Intentionally Left Blank
C2-90
-------
ATTACHMENT J.
Spherical Probe SPH-1 Calibration Data
C2-91
-------
3
2
1
ul o
-1
-2
-3
Figure C2-22. Spherical Probe (SPH-1): Avg. (30-60 fps) Fi vs. Pitch Angle j
NCSU Post-Test and NIST Wind Tunnel Calibrations |
i ''''
\ ; ; \ , . i ; 1 , : : , ' i , ^*
;..:;; . : ., .. ',. ,. : : ;._..,.. '^-W^^..^
, - - ----- ' ; --
^ p-^^df^^ - ;
1 : 1 i
-30 -25 -20 -1
^^f'\::.-. . /.:.'.
5 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
NCSU Post-Test + NIST |
[Note: Each point represents the mean of three replicates. |
FC222-24.WK4
-------
Figure C2-23. Spherical Probe (SPH-1): Avg. (30-60 fps) F2 vs. Pitch Angle)
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
1.25
1.20
1.15
1.10
1.05
1.00
0.95 L
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
NCSU Post-Test A NIST
I
[Note: Each point represents the mean of three replicates. |
15 20 25 30
FC222-24.WK4
-------
j Figure C2-24. Spherical Probe (SPH-1): Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
2.0
1.0
CD
O
ง -1.0
1
b
^ -2.0
-3.0
-4.0
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
I Note: Each point represents the mean of three replicates. |
FC222-24.WK4
-------
Table C2-25. Spherical Probe SPH-1: NIST vs. Post*Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
30,04
27.36
20.09
Directional
Velocity
(fps)
29.87
34.19
33.11
14.41 ! 32.46
8.72
32.06
4.14 [ 31.80
2.03 i 32.13
6.35
10.80
16.54
20.79
24.12
28.47
32.24
32.35
32.38
32.30
31.79
31.88
Axial
Velocity
(fps)
25.86
30.36
31.09
31.44
31.69
31.72
32.10
32.04
31.74
31.02
30.20
29.02
28.03
30 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
30.04
29,83
22.39
16.06
10.49
3.92
1.97
7.52
11.90
16.02
19.80
22.83
28.27
Directional
Velocity
(fps)
30.72
34.41
L__32JL_
32.01
Axial
Velocity
(fps)
26.60
29.86
30.45
30.76
31.67 L_ 31.14
31.80
31.88
31.81
31.88
31.82
31.79
31.50
31.26
31.72
31.85
31.53
31,18
30.57
29.90
29.03
27.53
% Change
Resultant
Angle
0.00
9.01
11.42
11.49
20.30
-5.41
-2.62
18.36
10.18
-3.16
-4.76
-5.34
-0.70
Directional
Velocity
2.84
0.66
-0.53
-1.41
-1.24
Axial
Velocity
2.84
-1.65
-2.06
-2.18
-1.75
-0.00 I 0.02
-0.77
-1.32
-1.44
-1.73
-1.60
-0.92
-1.95
-0.78
-1.58
-1.76
-1.45
-0.97
0.05
-1.76
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
30.02
27.24
20.45
13.79
8.90
4.80
0.89
6.22
10.96
15.86
20.06
25.45
29.64
Directional
Velocity
(fps)
56.53
Axial
Velocity
(fps)
48.94
65.02 ! 57.81
62.86
61.91 ,
61.50
60.88
61.29
61.36
60.92
61.10
60.91
60.54
60.95
58.90
60.12
60.75
60.67
61.28
61.00
59.80
58.77
57.21
54.67
52.97
60 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
30.02
30.02
22.75
15.36
10.73
4.63
0.89
7.35
11.99
15.43
19.15
24.22
29.63
Directional
Velocity
(fps)
58.11
65.74
62.66
60.97
60.75
60.96
60.87
60.55
60.03
60.04
59.87
59.95
Axial
Velocity
(fps)
50.31
56.92
57.78
58.79
59.69
60.76
60.86
60.04
58.72
57.87
56.56
54.67
59.49 I 51.70
% Change
Resultant
Angle
0.00
10.22
11.26
-11.35
20.49
-3.59
-0.24
18.20
9.38
-2.67
-4.56
-4.84
-0.04
Directional
Velocity
2.79
1.10
-0.32
-1.52
-1.21
0.13
-0.69
-1.32
-1.45
-1.73
-1.70
-0.98
Axial
Velocity
2.79
-1.55
-1.90
-2.21
-1.76
0.15
-0.68
-1.57
-1,81
-1.52
-1.14
0.00
-2.40 I -2.39
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
30.01
26.64
20.00
13.73
8.77
5.51
1.27
6.68
11.37
15.01
19.97
25.55
29.66
Directional
Velocity
(fps)
83.28
96.32
93.36
92.15
91.55
90,61
91.41
91.79
91.52
91.13
91.91
91.30
92.39
Axial
Velocity
(fps)
72.12
86.09
87.72
89.52
90.48
90.19
91.39
,_ 91.16
89.72
88.01
86.37
82.37
80.28
90 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
30.01
29.90
22.32
15.29
10.56
5.60
1.28
8.07
12.26
Directional
Velocity
(fps)
85.60
98.06
92.97
90.75
90.43
90.57
90.76
90.58
90.17
14.74 I 89.58
19.06
24.35
90.38
90.35
29.84 ! 90.31
Axial
Velocity
(fps)
74.13
85.00
86.00
87.53
88.89
90.14
90.73
89.69
88.11
86.63
85.41
82.31
78.34
% Change
Resultant
Angle
0.00
12.23
11.60
11.36
20.43
1.75
0.86
20.69
7.89
-1.76
^.55
-4.71
0.60
Directional
Velocity
Axial
Velocity
2.78 ! 2.78
1.80 -I -1.27
-0.41 -1.96
-1.52 I -2.22
-1.23
-0.05
-0.71
-1.75
-0.06
-0.72
-1.31 ( -1.62
-1.48
-1.69
-1.67
-1.04
-2.25
-1.79
-1.57
-1.11
-0.07
-2.43
TABC225.WK.4
C2-95
-------
o
Figure C2-25. Spherical Probe SPH-1; Percent Differences in NCSU Post-Test and MIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
-- 30 fps
-e- 60 fps
-*- 90 fps
-30 -25 -20 -15
-10 -505
Pitch Angle (degrees)
10
15
20
25
30
TABC225.WK4
-------
Table C2-26. SPH-1 Computations: 30 fps
Probe: Spherical SPH-1 / NIST 30-60 Calibration
Velocity Point: 30 fps Ca! Date:
Number Of Points:
39
03/04/98
Barometric Pressure, In. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.89
0.00
29.89
28.84
28.73
NA
0
30.48
0.9
16.4
16.5
9.37
Probe ID: SPH-1
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
%Satur.: 3.61%
Avg Temp: 81 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I
0;
Readings, in.H2O
Pitr-h
rllvll
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
w_. .,
Angle
1.6
1.6
1.3
1.3
0.9
0.9
0.9
0.9
0.8
0.5
0.5
0.5
0.4
1.5
1.4
0.8
0.8
0.8
0.6
0.6
0.6
0.6
0.5
0.6
0.4
0.2
1.5
1.6
1.4
1.2
1.1
1.1
1.1
1.1
0.7
0.7
0.7
0.7
0.4
P4-P5
-0.390
-0.400
-0.380
-0.320
-0.240
-0.140
-0.085
0.020
0.070
0.180
0.250
0.290
0.340
-0.390
-0.400
-0.370
-0.310
-0.230
-0.125
-0.020
0.050
0.170
0.240
0.280
0.300
0.340
-0.390
-0.400
-0.380
-0.320
-0.230
-0.150
-0.090
0.020
0.080
0.180
0.250
0.290
0.340
P1-P2
0.160
0.183
0.220
0.220
0.224
0.225
0.225
0.220
0.217
0.210
0.200
0.190
0.170
0.165
0.190
0.205
0.219
0.225
0.225
0.223
0.220
0.215
0.205
0.200
0.185
0.170
0.164
0.186
0.205
0.220
0.226
0.229
0,229
0.225
0.220
0.213
0.200
0.190
0.170
r^sac
Temp, F
84
84
84
84
84
84
84
84
84
84
84
84
84
83
83
83
83
83
83
83
83
83
83
84
84
84
83
83
83
83
83
83
83
83
83
83
83
83
83
Average
<ฃ>ฃ Ak
Pitch
-30.0
-28.5
-18.9
-14.6
-9.0
-4.2
-0.9
5.7
8.7
15.3
20.1
23.7
28.5
-30.0
-26.1
-20.2
-14.0
-8.5
-3.3
3.2
7.4
14.5
19.2
22.1
24.9
28.5
-30.0
-27.4
-21.1
-14.6
-8.5
-4.6
-1.1
5.7
9.2
15.1
20.1
23.7
28.5
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
J("-ll F-Q ^sป
Resultant
30.0
28.5
19.0
14.6
9.1
4.3
1.3
5.8
8.7
15.3
20.1
23.7
28.5
30.0
26.1
20.2
14.0
8.5
3.4
3.3
7.5
14.5
19.2
22.1
24.9
28.5
30.0
27.5
21.1
14.6
8.5
4.8
1.6
5.8
9.2
15.2
20.2
23.7
28.5
Res
30.04
27.36
20.09
14.41
8.72
4.14
2.03
6.35
10.80
16.54
20.79
24.12
28.47
Pt-Ps
0.2016
0.2565
0.2433
0.2287
0.2219
0.2172
0.2214
0.2223
0.2231
0.2247
0.2243
0.2196
0.2197
0.2079
0.2486
0.2313
0.2264
0.2221
0.2184
0.2230
0.2246
0.2287
0.2278
0.2280
0.2161
0.2197
0.1705
0.2531
0.2365
0.2287
0.2230
0.2205
0.2251
0.2273
0.2269
0.2276
0.2243
0.2196
0.2197
- " . ซ -?* ' *
f&Kl1ฎ'" .'
ff-J.f^ *
i*-;^.';^,"-,.
^f-c;?*^
r'-.Ti.- "-1""
si;;I\'5> .
>*;/ ฃ^'-' 1
rri-\ซซ.!{ .,
' .^jV-
-L aL'' '
; J~ ~_ ,_
if'/..r?Tr y
\ / * ...
veiQciiico, IUOGW
Flow Dir Axial
30.55
34.46
33.56
32.54
32.06
31.71
32.02
32.08
32.14
32.26
32.22
31.89
31.89
31.00
33.90
32.70
32.35
32.04
31.77
32.11
32.22
32.51
32.45
32.49
31.63
31.89
28.07
34.20
33.06
32.51
32.10
31.92
32.25
32.41
32.38
32.43
32.20
31.86
31.86
Vdir
29.87
34.19
33.11
32.46
32.06
31.80
32.13
32.24
32.35
32.38
32.30
31.79
31.88
26.45
30.28
31.74
31.48
31.65
31.62
32.01
31.92
31.77
31.11
30.25
29.20
28.04
26.84
30.44
30.68
31.39
31.68
31.71
32.05
31.95
31.48
30.65
30.11
28.68
28.04
24.30
30.35
30.84
31.46
31.75
31.81
32.24
32.25
31.97
31.31
30.22
29.17
28.01
Vax
oc~ac 1
/O.ob
30.36
31.09
31.44
31.69
31.72
32.10
32.04
31.74
31.02
30.20 i
29.02 I
28.03 I
.TABC226.WK4
C2-97
10/12/98
-------
Table C2-27, SPH-1 Computations: 60 fps
Probe: Spherical SPH-1 / MIST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/Ib-mole:
Molecular Wt. Wet, Ib/Ib-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.89
0.00
29.89
28.84
28.73
NA
0
57.91
0.7
16.4
16.5
9.59
Probe ID: SPH-1
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.84%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
!
0
Readings, in.H2O
Pitrh
I UL*I I
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
I dw
Angle
-1.2
-1.2
-0.9
-0,7
-0.7
-0.7
-0.6
-0.2
0.5
-0.6
-0.4
0.0
-0.3
-1.3
-1.1
-1.1
-0.9
-0.9
-0.7
-0.6
-0.5
0.7
0.7
0.5
0.2
-0.2
1.0
1.1
1.2
-0.8
-0.8
-0.7
-0.7
-0.5
0.6
-O.B
-0.4
0.2
-0.2
P4-P5
-1.400
-1.440
-1.350
-1.100
-0.860
-0.540
-0.250
0.090
0.400
0.740
0.910
1.150
1.250
-1.370
-1.450
-1.370
-1.150
-0.900
-0.550
-0.330
0.050
0.350
0.600
0.850
1.100
1.300
-1.400
-1.440
-1.370
-1.120
-0.850
-0.560
-0.260
0.170
0.410
0.680
0.900
1.100
1.300
P1-P2
0.590
0.670
0.750
0.800
0.830
0.840
0.820
0.800
0.770
0.750
0,720
0.670
0.610
0.580
0.680
0.750
0.800
0.820
0.820
0.820
0.810
0.770
0.750
0.710
0.670
0.600
0.580
0.670
0.750
0.800
0.820
0.830
0.820
0.790
0.760
0.740
0.710
0.660
0.590
Gas
Temp, F
85
85
85
85
85
85
85
85
85
85
84
84
84
85
85
85
85
85
85
85
86
86
86
86
86
86
86
86
86
86
86
86
86
86
86
86
86
86
86
Average
ซ Afป
Pitch
-30.0
-27.4
-20.1
-13.3
-8,7
-4.5
0.1
6.0
11.1
16.9
20.3
25.8
28.9
-30.0
-26.9
-20.6
-14.3
-9.3
-4.9
-1.2
5.3
10.3
14.6
19.5
25,1
30.0
-30.0
-27.4
-20.6
-13.7
-8.7
-4.9
-0.1
7.3
11.4
16.1
20.4
25.4
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Jfi| CQ ป
Resultant
30.0
27.4
20.1
13.3
. 8.7
4.5
0.6
6.0
11.1
16.9
20.3
25.8
28.9
30.0
26.9
20.6
14.3
9.3
4.9
1.4
5.4
10.4
14.6
19.5
25.1
30.0
30.0
27.4
20.6
13.7
8.7
5.0
0.7
7.3
11.4
16.1
20.4
25.4
30.0
Res
30.02
27.24
20.45
13.79
8.90
4.80
0.89
6.22
10.96
15.86
20.06
25.45
29.64
0
Pt-Ps
.7434
0.9108 .
0
0
0
0
0
0
0
0
0
0
0
0
0
.8443
.8224
.8200
.8095
.8114
.8097
.8033
.8153
.8086
.8029
.7982
.7308
.9111
0.8548
0
.8295
0.8140
0.7885
0
0
0
0
0
0
0
.8054
.8167
.7995
.7984
.7913
.7863
.8081
0.5962
0.91 08
0
0
0
.8548
.8252
.8102
0.7979
0
0
0
0
0
0
0
.8108
.8058
.7940
,7979
.7977
.7800
.7946
ง*%
albc
iii
is
(if
H-?
I
'^jmijฃ-~--?-
ill
It*
fli
VGlOCltU
Flow Dir
58.72
65.00
62.58
61.76
61.68
61.28
61.35
61.29
61.04
61.50
61.19
60.97
60.79
58.22
65.01
62.97 '
62.03
61.45
60.48
61.12
61.61
60.96
60.91
60.64
60.45
61.28
52.64
65.06
63.03
61.93
61.36
60.89
61.39
61.20
60,75
60.89
60.89
60.21
60.77
Vdir
56.53
65.02
62.86
61.91
61.50
60.88
61.29
61.36
60,92
61.10
60.91
60.54
60.95
a.
Axial
50.85
57.70
58.76
60.10
60.97
61.09
61.35
60.95
59.89
58.84
57.38
54.88
53.21
50.41
57.98
58.94
60.10
60.64
60.26
61.11
61.34
59.96
58.95
57.17
54.72
53.07
45.58
57.76
58.99
60.16
60.66
60.66
61.38
60.70
59.55
58.52
57.08
54.40
52.63
Vax
48.94 |
57.81
58.90
60.12
60.75
60.67
61.28
61.00
59.80
58.77
57.21
54.67
52.97
.TABC227.WK4
C2-98
10/12/98
-------
Table C2-28. SPH-1 Computations: 90 fps
Probe: Spherical SPH-1 / NiST 30-60 Calibration
Velocity Point: 90 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
D>l~k Vnllf ri-*ซป
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.89
0.00
29.89
28.84
28.73
NA
0
86.57
0.7
16.4
16.5
9.37
ซ ANGLES ป
Pitch Resultant
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-1
1.00
0.00
20.9
1
4.76%
90 F
61 ~
Volumetric Air Flow Rate,
SCFM Wet:
Pt-Ps
0
Velocities,
Flow Dir
ft/sec
Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
-0.6
-1.3
-0.9
-0.8
-0.7
-0.5
-0.6
-0.5
0.4
0.2
-0.2
0.6
-0.9
-0.9
-1.3
-1.1
-0.8
-0.7
-0.7
-0.6
-0.2
0.7
0.8
0.3
0.7
0.9
-0.9
-1.0
-1.0
-0.8
-0.8
0.5
-0.5
-0.4
0.7
0.8
0.5
0.7
0.9
-3.050
-3.150
-2.900
-2.400
-1.900
-1.320
-0.600
0.290
1.000
1.500
2.150
2.550
2.900
-3.000
-3.150
-3.000
-2.500
-1.850
-1.330
-0.760
0.290
0.750
1.280
1.950
2.500
2.900
-2.950
-3.150
-2.950
-2.450
-1.900
-1.300
-0.380
0.300
1.000
1.350
1.850
2.500
2.900
1.250
1.490
1.650
1.750
1.800
1.800
1.800
1.770
1.710
1.650
1.590
1.490
1.370
1.250
1.480
1.640
1.750
1.800
1.820
1.800
1.750
1.710
1.660
1.630
1.500
1.370
1.250
1.480
1.650
1.750
1.810
1.810
1.800
1.770
1.700
1.650
1.600
1.490
1.350
91
91
90
90
89
89
89
89
88
88
87
87
86
91
91
92
92
92
93
93
93
93
94
94
94
94
96
96
96
96
96
96
95
95
95
95
95
95
94
-30.0
-26.3
-19.4
-13.3
-8.9
-5.5
-0.3
6.6
11.9
15.9
21.5
25.8
29.6
-30.0
-26.8
-20.6
-14.2
-8.6
-5.5
-1.5
6.7
10.1
14.2
19.5
25.4
29.6
-30.0
-26.8
-19.9
-13.7
-8.8
-5.4
1.5
6.7
12.0
14.8
19.0
25.5
29.8
30.0
26.4
19.4
13.3
8.9
5.6
0.7
6.7
11.9
15.9
21.5
25.8
29.6
30.0
26.8
20.7
14.2
8.6
5.6
1.6
6.7
10.2
14.3
19.5
25.4
, 29.6 -
30.0
26.8
19.9
13.7
8.8
5.4
1.5
6.7
12.0
14.8
19.0
25.5
29.9
1.5750
1.9649
1.8373
1.7980
1.7811
1.7366
1.7776
1.7985
1.7925
1.7770
1.8033
1.7830
1.8233
1.5750
1.9762
1.8714
1.8124
1.7772
1.7556
1.7653
1.7784
1.7735
1.7635
1.8165
1.7728
1.8233
1.2843
1.9762
1.8500
1.8052
1.7902
1.7442
1.7895
1.7993
1.7824
1.7588
1.7747
1.7665
1.8107
85.95
95.99
92.74
91.74
91.23
90.08
91.14
91.67
91.44
91.04
91.63
91.11
92.05
85.95
96.27
93.77
92.28
91.38
90.90
91.15
91.49
91.37
91.19
92.55
91.43
92.72
77.96
96.71
93.57
92.43
92.04
90.85
91.94
92.19
91.76
91.15
91.56
91.35
92.40
74.43
86.01
87.46
89.29
90.13
89.66
91.13
91.05
89.46
87.54
85.28
82.03
80.06
74.42
85.94
87.74
89.47
90.35
90.48
91.12
90.87
89.93
88.38
87.25
82.60
80.65
67.51
86.34
87.97
89.79
90.95
90.45
91.91
91.56
89.76
88.11
86.58
82.46
80.14
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.01
26.64
20.00
13.73
8.77
5.51
1.27
6.68
11.37
15.01
19.97
25.55
29.66
83.28
96.32
93.36
92.15
91.55
90.61
91.41
91.79
91.52
91.13
91.91
91.30
92.39
Vax
72T12
86.09
87.72
89.52
90.48
90.19
91.39
91.16
89.72
88.01
86.37
82.37
80.28
TARP.WB WK4
C2-99
10/12/98
-------
This Page Intentionally Left Blank
C2-100
-------
ATTACHMENT K.
Spherical Probe SPH-2 Calibration Data
C2-101
-------
n
o
to
Figure C2-26. Spherical Probe (SPH-2): Avg. (30-60 fps) Fl vs. Pitch Angle |
NCSU Post-Test and NIST Wind Tunnel Calibrations
2 -
4 !_
-1 h
-2
-3
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test NIST
Note: Each point represents the mean of three replicates7][
FC226-28.WK4
-------
1
1
1 OK
1 ,Z.Q
i on
1 .ZU
fie;
1 . ID
CM 4 -in
1 1 1. IU
1 ri*;
1.00
OQK
.yo
Figure C2-27. Spherical Probe (SPH-2): Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
: , i : : : ' ;
* "' ' i ! . ' : , ' ' ; ' ! .
d \ ' ; ; " :-:- I.-!..- -,.. ....,-..!.. | ,- . . . . . . : ^.. -
'\ \ ' ! ! ' ! ' : : ! ^ ' ' '> : ' t /i
\ N. ! . ! : ; i ; ! ; ' i /^
V\: ! : ' ^ :/J- !
* \ : ' '#s^
' ^\X: : ' ' ^/^^ j :
i. , ^ ; J_^-A : ^-^"^r^ip-^ . \
I ^g^= : n Bi ; ' : . :
! I I I'll i I I I I I i
-30 -25 -20 -15 -10 -50 5 10 15 20 25 30
Pitch Angle (degrees)
m NCSU Post-Test + NIST I
JNote: Each point represents the mean of three replicates, j
FC226-28.WK4
-------
Figure C2-28. Spherical Probe (SPH-2): Percent Difference
NCSU Post-Test and NIST Wind Tunnel Calibrations
2.0
1.0
8
i -1.0
I
ฃ -2.0
-3.0
-4.0 '
-30 -25 -20 -15
-10 -505
Pitch Angle (degrees)
Note: Each point represents the mean of three replicatesT^
lnF2l
10 15 20 25 30
FC226-28.WK4
-------
Table C2-29. Spherical Probe SPH-2: MIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Anale
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
29.47
24,43 -
17.40
13.95
9.43
4.29
1.87
6.04
11.56
16.06
20.38
25.25
29.38
Directional
Velocity
(fos)
28.74
30.35
29.79
29.95
30.00
29.91
29.83
29.98
30.26
30.40
30.15
30.47
30.38
Axial
Velocity
ffps)
25.01
27.58
28.42
29.06
29.59
29.80
29.81
29.79
29.64
29.21
28.26
27.56
26.47
30 fps / November / 30-60 Calibration
Resultant
Angle
(decrees)
29.86
25.82
18.56
14.81
11.20
5.15
1.83
6.07
11.37
15.27
19.94
24.58
29.10
Directional
Velocity
(fps)
29.87
31.99
Axial
Velocity
(fos)
25.90
28.75
31.12 | 29.48
31.31
31.56
31.40
31.15
31.24
31.33
31.24
31.11
31.33
30.26
30.95
31.24
31.13
31.04
30.71
30.14
29.24
28.49
31.23 | 27.29
% Change
Resultant
Angle
1.35
Directional
Velocity
3.95
5.69 5.42
6.65 4.44
6.21 ! 4.53
18.80
20.10
-2.52
0.53
-1.68
-4.92
-2.15
-2.64
-0.92
5.20
4.98
4.43
4.23
3.53
2.77
3.19
2.83
2.80
Axial
Velocity
3.59
4.22
3.74
4.13
4.61
4.82
4.44
4.21
3.62
3.17
3.48
3.39
3.07
Pitch
Anple
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
29.42
24.85
18.31
13.32
8.67
4.64
1.31
5.35
11.26
15.93
21.00
25.64
29.68
Directional
Velocity
(fps)
54.80
57.26
57.47
57.50
57.51
57.47
57.81
57.88
58.21
58.31
58.34
58.42
57.92
Axial
Velocity
(fps)
47.71
51.96
54.56
55.95
56.85
57.28
57.80
l_ 57.60
57.08
56.07
54.47
52.66
50.33
60 fo_s_/ November / 30-60 Calibration
Resultant
Angle
(degrees)
30.07
26.48
19.61
14.25
10.56
5.37
1.52
5.39
11.15
15.08
20.58
24.94
29.48
Directional
Velocity
(fps)
57.25
61.07
59.90
60.14 J
60.50
60.38
60.43
60.37
60.32
59.89
60.18
60.02
59.56
Axial
Velocity
(fps)
49.54
54.66
56.43
58.29
59.48
60.12
60.41
60.07
59.18
57.83
56.34
54.43
51.85
% Change
Resultant
Angle
2.20
6.56
Directional
Velocity
4.48
6.66
7.08 i 4.24
6.97
21.81
15.73
15.69
0.84
-0.97
-5.35
-1.99
-2.76
-0.68
4.60
5.21
L_ 5'07
4.53
4.30
3.64
2.70
3.16
2.75
2.83
Axial
Velocity
3.84
5.20
3.43
4.19
4.63
4.95
4.52
4.29
3.68
3.13
3.45
3.35
3.04
Pitch
Anqle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
29.85
24.01
19.61
Directional
Velocity
(fbs)
81.36
84.09
86.51
10.44 ) 85.75
8.08
4.55
1.19
6.04
12.31
15.75
20.62
25.64
29.80
86.36
86.76
86.96
87.24
88.19
87.73
L 87.52
87.38
87.45
Axial
Velocity
(fbs)
70.57
76.81
L_ 81.49
84,33
85.51
86.48
86.94
86.73
86.17
84.44
81.91
78.78
75.88
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.10
25.49
21.15
12.05
10.03
5.33
1.25
6.11
12.02
14.91
20.20
24.95
29.60
Direction'al
Velocity
(fos)
85.14
88.86
90.62
90.29
90.81
91.13
90.85
90.95 -
91.18
90.11
90.32
89.83
89.92
Axial
Velocity
(fbs)
73.65
80.21
84.51
88.30
89.42
90.72
90.83
90.41
89.18
87.08
84.76
81.45
78.18
% Change
Resultant
Angle
0.84
6.16
7.90
15.40
24.23
16.97
4.71
i.n
-2.37
-5.34
-2.07
-2,70
-0.68
Directional
Velocity
4.65
5.67
4.75
5.29
5.15
5.04
4.47
4.25
3.39
2.71
3.19
2.80
Axial
Velocity
4.37
4.42
3.71
4.71
4.58
4.91
4,47
4.24
3.50
3.12
3.48
3.39
2.82 | 3.03
TABC229.WK4
C2-105
-------
oo
oo
O
GO
U
0)
1
I
Figure C2-29. Sperical Probe SPH-2: Percent Differences in NSCU Post Test and NIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
Q
ฃ -2
.4
-30
-25
-20
-15
-10 -505
Pitch Angle (degrees)
10
15
20
25
30
30 fps + 60 fps + 90 fps I
TABC229.WK4
-------
Table C2-30. SPH-2 Computations: 30fps
Probe: Spherical SPH-2 / NIST 30-60
Velocity Point: 30 fps
Number Of Points:
Barometric Pressure, In. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation-
Readings, in.H20
Qซ, . Vซ
Rep Angle Angle P4-P5 P1-P2
1 -30 -0.8 -0.350 0.155
-25 -0.8 -0.350 0.180
-20 -0.9 -0.300 0.198
-.15 -0.9 -0.270 0.205
-10 -0.9 -0.200 0.210
-5 -0.9 -0.080 0.210
0 -0.7 -0.040 0.205
5 -0.6 0.060 0.205
10 -0.7 0,145 0.200
15 -0.6 0.200 0.195
20 -0.6 0.270 0.185
25 -0.5 0.330 0.175
30 -0.8 0.360 0.160
2 -30 -2.7 -0.340 0.155
-25 -2.8 -0.400 0.190
-20 -2.0 -0.350 0.205
-15 -1.9 -0.300 0.214
-10 -1.9 -0.250 0.224
-5 -1.1 -0.170 0.220
0 -1.0 -0.070 0.215
5 -1.0 -0.020 0.215
10 -1.0 0.090 0.210
15 -1.0 0.185 0.205
20 -1.0 0.250 0.193
25 -1.0 0.310 0.184
30 -1.1 0.360 0.169
3 -30 -1.3 -0.340 0.160
-25 -1.4 -0.350 0.190
-20 -1.5 -0.300 0.204
-15 -1.5 -0.270 0.215
-10 -1.5 -0.210 0.220
-5 -1.4 -0.150 0.220
0 -1.0 -0.020 0.215
5 -1.0 0.055 0.210
10 -1.0 0.145 0.209
15 -1.0 0.215 0.200
20 -1.0 0.260 0.190
25 -1.0 0.330 0.180
30 -1.1 0.360 0.166
Gas
Temp, F
70
70
70
70
70
70
70
70
70
70
70
70
70
80
79
79
79
79
79
79
79
79
78
78
78
78
78
78
78
78
78
78
78
78
78
78
78
78
78
Average
Calibration
39
29.85
0.00
29.85
28.84
28.73
NA
0
28.48
1.2
16.0
16.1
9.18
Pre-test
Cal Date:
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
03/04/98
SPH-2
1.00
0.00
20.9
1
2.81%
74 _F
61
Volumetric Air Flow Rate,
SCFM Wet:
ซ ANGLES ป
Pitch
-30.0
-23.7
-16.6
-13.8
-8.6
-1.1
1.4
7.7
12.8
16.3
21.3
26.2
30.0
-30.0
-27.7
-19.4
-15.0
-10.8
-6.2
-0.4
2.8
9.3
14.9
19.5
23.9
28.8
-28.3
-21.8
-16.0
-12.9
-8.6
-5.0
2.8
7.3
12.4
16.9
20.3
25.6
29.2
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
30.0
23.7
16.7
13.8
8.6
1.4
1.6
7.7
12.8
16.3
21.4
26.2
30.0
30.1
27.8
19.5
15.1
11.0
6.3
1.1
3.0
9.4
14.9
19.5
24.0
28.8
28.3
21.8
16.1
12.9
8.7
5.2
3.0
7.4
12.5
16.9
20.3
25.6
29.3
Res
29.47
24.43
17.40
13.95
9.43
4.29
1.87
6.04
11.56
16.06
20.38
25.25
29.38
Pt-Ps
0.1981
0.1885
0.1889
0.1904
0.1894
0.1919
0.1889
0.1937
0.1967
0.1980
0.1973
0.2016
0.1986
0.1981
0.2243
0.2012
0.2006
0.2036
0.1980
0.1971
0.1988
0.2002
0.2057
0.2009
0.2039
0.2052
0.1486
0.1931
0.1933
0.1984
0.1985
0.1978
0.1988
0.1980
0.2049
0.2040
0.1995
0.2050
0.2031
* i-*^:
SS'^S-j.",
f's^'t^k!'}'
ฃX '*- '"* '' "
** r " j> ,
vCr'S'^.
A*'*"'! "
!*;JV>."v ซ I1
" ''.*'.'
\" - -' '
'"", ฃ^
:-^'"AfeV
5*1 "~ * ' . .
ol
Velocities,
Flow Dir
29.91
29.18
29.21
29.33
29.25
29.44
29.21
29.58
29.81
29.90
29.86
30.18
29.95
30.20
32.10
30.40
30.36
30.58
30.16
30.09
30.22
30.33
30.71
30.35
30.57
30.67
26.11
29.75
29.77
30.16
30.17
30.12
30.19
30.13
30.65
30.58
30.25
30.66
30.52 ~
Vdir
28.74
30.35
29.79
29.95
, 30.00
' 29.91
29.83
, 29.98
30.26
30.40
30.15
30.47
30.38
ft/see
Axial
25.90
26.72
27.98
28.49
28.92
29.43
29.20
29.31
29.07
28.70
27.81
27.08
25.93
26.12
28.40
28.66
29.31
30.02
29.98
30.08
30.18
29.92
29.67
28.61
27.94
26.86
22.99
27,63
28.61
29.40
29.82
29.99
30.15
29.88
29.92
29.26
28.36
27.65
26.62
Vax
25.01 |
27.58
28.42
29.06
29.59
29.80
29.81
29.79
29.64
29.21
28.26
27.56
26.47 ;
JABC230.WK4
C2-107
10/12/98
-------
Table C2-31. SPH2 Computations: 60fps
Probe: Spherical SPH-2 / NIST 30-60 Calibration
Velocity Point: 60 fps
Number Of Points: 39
Barometric Pressure, in. Hg: 29.85
Static Pressure, inches H2O: 0.00
Absolute Pressure, in. Hg: - 29.85
Molecular Wt. Dry, Ib/lb-mole: 28.84
Molecular Wt. Wet, Ib/lb-mole: 28.73
Fuel Factor, Fo: NA
Volumetric Air Flow Rate, SCFM Dry: 0
Average Axial Velocity, ft/sac: 54.64
Average Yaw Angle: 1 .1
Average Pitch Angle: 16.0
Average Resultant Angle: 16.1
Resultant Angle Standard Deviation: 9.38
Pre-test
Cal Date: 03/04/98
Probe ID: SPH-2
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 2.99%
Avg Temp: 76 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I 0|
Readings, in.H20
Pttrh
r liijll
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
VsHA/
Angle
-2.9
-1.7
-1.4
-1.4
-1.3
-1.1
-1.1
-0.7
-1.0
-0.4
-0.5
-0.5
0.9
-2.6
-1.9
-1.5
-1.5
-1.2
-1.2
-1.1
-1.0
-1.1
-0.6
-0.6
-0.1
1.0
-2.6
-1.7
-1.4
-1.5
-1.2
-1.0
-0.9
-0.9
-0.9
-0.6
-0.5
-0.3
0.9
P4-P5
-1.280
-1.350
-1.200
-1.000
-0.770
-0.500
-0,300
0.020
0.430
0.730
1.000
1.200
1.350
-1.250
-1.320
-1.230
-1.000
-0.800
-0.550
-0.300
-0.020
0.420
0.700
1.000
1.200
1.310
-1.200
-1,350
-1.200
-1.000
-0.720
-0.500
-0.220
0.220
0.500
0.750
1.000
1.200
1.320
P1-P2
0.580
0.670
0.740
0.770
0.800
0.800
0.800
0,780
0.760
0.730
0.700
0.650
0.580
0.580
0.650
0.740
0.780
0.800
0.800
0.800
0.790
0.770
0.740
0.710
0.660
0.600
0.560
0.690
0.750
0.790
0.800
0.800
0.790
0.780
0.760
0.730
0.690
0.650
0.600
f""ac
Temp, F
72
72
72
72
73
73
73
74
74
74
74
74
74
78
78
79
79
79
79
79
79
79
79
79
79
80
81
81
81
81
81
81
81
80
80
80
80
80
80
Average
>
Resultant
30.1
25.1
18.2
13.6
8.8
4.4
1.5
4,5
11.0
16.0
21,0
25.7
30.0
29.3
25.5
18.8
13.3
9.3
5.2
1.5
3.9
10.8
15.4
20.8
25.4
29.4
28.9
24.0
17.9
13.1
8.0
4.4
0.9
7,6
12.1
16.4
21.2
25.7
29.6
Res
29.42
24.85
18.31
13.32
8.67
4.64
1.31
5.35
11.26
15.93
21.00
25.64
29.68
Pt-Ps
0,7413
0
0
7162
7172
0,7139
0
7217
0.7215
0.7313
0
7244
0.7341
0.7393
0
7427
0.7424
0.7198
0.7206
0.7076
0.7215
0.7219
0
7221
0.7192
0.7313
0
0
7324
7421
0.7457
0
7507
0.7492
0.7364
0.5192
0.7253
0.7246
0.7298
0.7211
0.7215
0.7257
0
7363
0,7419
0.7412
0.7347
.0.7424
0.7389
f'-t
w.
y'*,
iv"
*'.'
1 '
sl
*' ,'
V
i/ป
v "
i.'.
J^S^'j
""^Q^.' i
^^i ** ~
. ^o'.i :
^s>r, i
'i\ '.j
*-->'i; - i
^f' !
\/t\te*r
-------
Table C2-32. SPH-2 Computations: 90 fps
Probe: Spherical SPH-2 / NIST 30-60 Calibration
Velocity Point: 90 fps
Number Of Points: 39
Barometric Pressure, in. Hg: 29.85
Static Pressure, inches H2O: 0.00
Absolute Pressure, in. Hg: 29.85
Molecular Wt. Dry, Ib/lb-mole: 28.84
Molecular Wt. Wet, Ib/lb-mole: 28.73
Fuel Factor, Fo: NA
Volumetric Air Flow Rate, SCFM Dry: 0
Average Axial Velocity, ft/sec: 82.00
Average Yaw Angle: 1 .0
Average Pitch Angle: 15.9
Average Resultant Angle: 16.0
Resultant Angle Standard
Pitch
Reo Anole
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
. 20
25
30
3 -30
-25
-20
-15
-10
"0
0
5
10
15
20
25
30"
Yaw
Anqle
-2.8
-1.8
-1.3
-1.2
-1.1
-1.0
-1.0
-0.8
-0.8
-0.4
-0.3
0.1
0.6
-2.6
-2.0
-1.2
-1.3
-1.3
-1.2
-1.0
-O.i
-0.8
-0.4
-0.2
0.1
0.8
-2.3
-1.8
-1.3
-1.4
-1.0
-1.1
-1.0
-0.8
-0.8
-0.4
-0.2
-0.2
0.7
Deviation:
Readings, in.H2O
P4-P5
-2.750
-2.800
-2.800
-1.890
-1.660
-1.140
-0.440
0.400
1.100
1.640
2.200
2.700
3.000
-2.700
-2.850
-2.800
-1.900
-1.600
-1.300
-0.650
-0.010
1.210
1.510
2.100
2.600
2.950
-2.800
-2.850
-2.840
-1.900
-1.600
-1.000
-0.500
0.400
1.180
1.650
2.250
2.650
2.950
P1-P2
1
260
1.450
1.630
1
1
750
780
1.790
1
1
1
1
1
780
750
710
630
560
1.430
1
1
330
250
1.430
1
1
640
740
1.780
1
1
1
1
1
1
1
1
1
1
1
1
1
1
800
770
750
700
650
580
450
330
250
460
640
750
780
800
1.770
1
1
1
1
750
720
640
550
1.450
1
340
Temp, F
82
82
82
81
81
80
80
79
79
79
78
77
76
83
83
84
85
85
85
86
86
87
87
87
88
88
91
91
91
90
80
90
90
90
90
89
89
89
89
Average
9.46
Pre-test
Cal Date: 03/04/98
Probe ID: SPH-2
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.81%
Avg Temp: 83 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
r
0
ซ ANGLES ป W^lrt/Mftae. ftfeaf
Pitch Resultant R-Ps
-30.0
-23.4
-19.6
-10.3
-8.3
-4.4
0.7
6.9
11.8
16.1
20.8
26.2
30.0
-29.3
-24.6
-19.4
-10.5
-7.8
-5.5
-0.9
4.0
12.7
15.0
19.8
25.2
29.8
-30.0
-23.8
-19.8
-10.4
-7.8
-3.3
0.2
6.9
12.4
16.1
21.3
25.5
29.6
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.1
23.5
19.6
10.3
8.4
4.5
1.2
7.0
11.9
16.1
20.8
26.2
30.0
29.4
24.7
19.4
10.5
8.0
5.6
1.4
4.1
12.7
15.0
19.8
25.2
29.8
30.1
23.9
19.8
10.5
7.9
3.5
1.0
7.0
12.4
16.1
21.3
25.5
29.6
Res
29.85
24.01
19.61
10.44
8.08
4.55
1.19
6.04
12.31
15.75
20.62
25.64
29.80
1.6082
1.5128
1.6024
1.5840
1.6052
1.6133
1.6369
1.6460
1.6665
1.6518
1.6500
1.6485
1.6507
1.5605
1.5191
1.6097
1.5771
1.6045
1.6189
1.6187
1.6235
1.6697
1.6578
1.6495
1.6368
1.6440
1.1315
1.5326
1.6155
1.5851
1.6045
1.6295
1.6257
1.6460
1.6844
1.6619
1.6511
1,6494
1.6508
jj^g;i;i
Va** ^^Ml*ilrl|
||fe;Siip*!|
VOIUlrllJ
Flow Dir
86.19
83.60
86.03
85.46
86.03
86.17
86.80
86.96
87.50
87.11
86.98
86.86
86.84
84.98
83.85
86.39
85.59
86.33
86.72
86.79
86.92
88.23
87.91
87.69
87.43
87.63
72.89
84.84
87.10
86.20
86.73
87.40
87.30
87.84
88.86
88.18
87.90
87,85
87.89
Vdir
81.36
84.09
86.51
85.75
86.36
86.76
86.96
87.24
88.19
87.73
87.52
87.38
__8i45___
Axial
74.59
76.67
81.05
84.07
85.12
85.90
86.78
86.31
85.62
83.69
81.32
77.94
75.20
74.04
76.20
81.47
84.15
85.50
86.30
86.77
86.69
86.08
84.90
82.49
79.13
76.04
63.08
77.57
81.96
84.77
85.90
87.23
87.28
87.19
86.79
84.72
81.92
79.26
76.41
Vax
70.57
76.81
81.49
84.33
85.51
86.48
86.94
86.73
86.17
84.44
81.91
78.78
75.88 I
.TABC232.WK4
C2-109
10/12/98
-------
This Page Intentionally Left Blank
C2-HQ,
-------
ATTACHMENT L.
Spherical Probe SPH-3 Calibration Data
C2-111
-------
Figure C2-30. Spherical Probe (SPH-3): Avg. (30-60 fps) Fl vs. Pitch Angli
NCSU Post-Test and NIST Wind Tunnel Calibrations
-1
-2
-3 L
-30 -25 -20 -15 -10 -5 0 5 10
Pitch Angle (degrees)
L
NCSU Post-Test * NiST
15
20
[Note: Each point represents the mean of three replicates. |
25
30
-------
Figure C2-31. Spherical Probe (SPH-3): Avg. (30-60 fps) F2 vs. Pitch Ang]
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
1.30
1,25 \
1.20 -
1.15 I-
1.10 I
1.05 -
1.00 -
0.95
-30 -25 -20 -15
-10 -50 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test * NIST
Note: Each point represents the mean of three replicates. |
-------
Figure C2-32. Spherical Probe (SPH-3): Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
2.0
1.0
0.0
-1.0
CM
U_
CD
O
>
-3-0
Q -4-0
-5.0
\
-7.0
-8.0
-30 -25 -20 -15
-10 -5 0 5
Pitch Angle (degrees)
10
15
20
25
30
[Note: Each point represents the mean of three replicates^
-------
Table C2-33, Spherical Probe SPH-3: NIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 lips / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
29.70
27.38
17.45
12.49
10,60
Directional
Velocity
(fps)
28.24
31.43
29.90
30.21
30.42
5.79 | 30.32
0.49
4.90
6.59
15.16
19.51
24,25
29.31
30.60
30,81
30.86
31.30
31.09
31.46
31.83
Axial
Velocity
(fps)
24.53
27.90
28.53
29.49
29,90
30.17
30.60
30.69
30.65 .
30.20
29.30
28.68
27.76
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.00
28.89
20.46
13.89
12.05
7.10
1.71
4.81
7.18
16.31
19.24
24.31
29.04
Directional
Velocity
(fps)
29.76
33.94
31.46 .
31.56
31.83
Axial
Velocity
(fps)
25.77
29.71
29.48
30.64
31.13
31.68 1 31.44
31.69 31.68
31.90
31,87
31.83
31.47
31.71
31.77
31.78
31.61
30.55
29.71
28.90
27.78
% Change
Resultant
Angle
1.03
- 5.49
17.21
11.25
13,71
22.60
245.28
-1.77
S.89
7.57
-1.37
0.26
-0.94
Directional
Velocity
5.38
8.00
Axial
Velocity
5.06
6.50
5,21 | 3.33
4.49
4.64
4,48
3.58
3.54
3,27
1.71
1.23
0.79
-0.19
3.89
4.11
4.21
3.54
3.55
3.14
1.14
1.40
0.74
0.08
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST / 30-60 Calibration
Resultant Directional Axial
Angle Velocity Velocity
(degrees) (fps) (fps)
25.63
23.64
16.30
11.63
6.46
2.32
0.99
7.04
11.92
17.35
21.74
26.56
30.02
51.24 1 46.20
57.49
57.47
57.73
57.89
58.16
58.40
58.51
58.93
59.18
59.48
59.36
59.78
52.58
55.16
56.54
57.52
58.11
58.39
58.07
57.66
56.49
55.25
53.09
51.76
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
26.85
25.64
18.91
Directional
Velocity
(fps)
54.67
61.83
60.24
13.05 | 60.38
7.82
3.55
0.44
7.80
13.58
17.79
21.35
26.56
29.92
60.47
60.46
60.39
60.38
60.31
60.05
60.01
59.61
59.70
Axial
Velocity
(fps)
48.77
55.70
56.98
58.81
59.91
60.34
60.39
59.82
58.63
57.17
55.88
53.32
51.74
% Change
Resultant
Angle
4.75
8.47
16.06
12.28
Directional
Velocity
Axial
Velocity
6.68 ! 5.57
7.54
4.82
4.58
21.04 ! 4.46
52.93
-55.70
10.86
13.87
-2.51
-1.78
0.00
-0.33
3.95
3.42
3.19
2.35
1.46
0.88
0.42
-0.14
5.92
3.31
4.02
4.15
3.83
3.44
3.01
1.68
1.22
1.15
0.42
-0.04
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
28.71
25.23
17.88
12.41
7.69
3.06
1.25
6.56
11.95
17.00
21.14
25.90
Directional
Velocity
(fps)
79.23
85.46
86.09
86.64
86.55
87.45
87.70
87.74
88.82
88.81
89.04
89.25
30.01 ; 88.90
Axial
Velocity
(fps)
69.46
77.29
81.93
84.61
85.76
87.32
. 87.67
87.15
86.90
84.93
83.05
80.28
76.97
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.80
26.61
20.99
13.82
9.14
4.25
0.90
7.14
Directional
Velocity
(fps)
84.10
91.80
90.95
90.54
90.39
91.02
90.74
90.61
13.61 1 90.90
17.55
20.65
25.97
30.01
90.14
89.85
89.76
88.84
Axial
Velocity
(fps)
72.99
82.06
84.91
87.91
89.23
90.77
90.72
89.89
88.35
85.95
84.07
80.70
76.93
% Change
Resultant
Angle
3.78
5.44
17.38
11.33
18.85
38.72
-28.27
8.80
13.87
3.26
-2,34
Directional
Velocity
6.15
7.42
5.64
4.50
4.43
Axial
Velocity
5.08
6.17
3.63
3.90
4.04
4.08] 3.95
3.47
3.27
2.34
1.50
0.91
0.261 0,58
-0.00! -0.06
3.48
3.14
1.67
1.20
1.24
0.52
-0,06
TABC233.WK4
C2-115.
-------
Figure C2-33. Sperical Probe SPH-3: Percent Differences in NSCU Post Test and NIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
-30
-25
-20
-15
-10 -5 0 5 10
Pitch Angle (degrees)
30 fps + 60 fps * 90 fps
15
20
25
30
TABC233.WK4
-------
Table C2-34. SPH-3 Computations: 30fps
Probe: Spherical SPH-3 / NIST 30-60 Calibration
Velocity Point: 30 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/ib-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
Pitfh Yiw + ^ ..n,,,,^,,
I Hk*l 1 1 raw - :" '-^j -
Rep Angle Angle P4-P5 P1-P2
1 -30 0.0 -0.350 0.150
-25 -0.3 -0.400 0.185
-20 -0.4 -0.350 0.200
-15 -0.5 -0.300 0.215
-10 -0.4 -0.260 0.220
-5 -0.3 -0.200 0.220
0 -0.3 -0.100 0.220
5 -0.4 -0.010 0.220
10 -0,3 0.020 0.218
15 -0.4 0.170 0.210
20 -0.3 0.230 0.200
25 -0.4 0.300 0.190
30 0.0 0.360 0.175
2 -30 -0.1 -0.350 0.150
-25 -0.1 -0.400 0.176
-20 -0.4 -0.350 0.200
-15 -0.4 -0.300 0.210
-10 -0.4 -0.290 0.218
-5 -0.4 -0.200 0.220
0 -0.4 -0.100 0.220
5 -0.3 -0.010 0.220
10 -0.4 0.030 0.219
15 0.2 0.150 0.210
20 0.0 0.220 0.200
25 0.0 0.300 0.195
30 0.0 0.350 0.180
3 -30 -0.5 -0.350 0,150
-25 -0.6 -0.400 0.185
-20 -0.1 -0.360 0.200
-15 -0.4 -0.300 0.215
-10 -0.4 -0.280 0.220
-5 -0.1 -0.190 0.220
0 -0.1 -0.110 0.220
5 0.0 -0.010 0.220
10 0.0 0.010 0.219
15 0.0 0.180 0.210
20 0.0 0.240 0.200
25 0.0 0.300 0.190
30 -0.1 0.360 0.180
Gas
Temp, F
83
83
83
83
83
83
83
82
82
82
82
82
82
87
87
87
87
87
87
86
86
86
86
86
86
86
86
86
86
86
85
85
85
85
85
85
85
85
85
Average
29.85
0.00
29.85
28.84
28.73
NA
0
29.11
0.2
15.6
15.7
9.64
ซ AN
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-3
1.00
0.00
20.9
1
3.77%
83
61
_F
Volumetric Air Flow Rate,
Iftl P<5 >*
Pitch Resultant
-29.7
-26.7
-17.2
-12.3
-9.5
-6.0
-0.1
. 4.9
6.6
15.4
19.5
24.4
30.0
-29.7
-28.7
-17.2
-12.8
-11.5
-6.0
-0.1
4.9
7.1
14.2
18.9
23.9
28.7
-29.7
-26.7
-17.9
-12.3
-10.7
-5.4
-0.7
4.9
6.0
15.9
20.1
24.4
29.3
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
29.7
26.7
17.2
12.3
9.6
6.0
0.3
4.9
6.6
15.4
19.5
24.4
30.0
29.7
28.7
17.2
12.8
11.5
6.0
0.4
4.9
7.2
14.2
18.9
23.9
28.7
29.7
26.8
17.9
12.3
10.7
5.4
0.7
4.9
6.0
15.9
20.1
24.4
29.3
Res
29.70
27.38
17.45
12.49
10.60
5.79
0.49
4.90
6.59
15.16
19.51
24.25
29.31
SCFM Wet:
|
Pt-Ps
0.1898
0.2113
0.1919
0.1976
0.1986
0.1980
0.2018
0.2045
0.2046
0.2115
0.2083
0.2119
0.2171
0.1898
0.2150
0.1919
0.1937
0.1991
0.1980
0.2018
0.2045
0.2062
0.2093
0.2073
0.2161
0.2178
0.1379
0.2113
0.1934
0.1976
0.1998
0.1978
0.2014
0.2045
0.2049
0.2125
0.2094
0.2119
0.2205
ft *ฃ$* * I
?*ซ|prv'l
>" 'tf?' ' ;
>_t. .rg* v "
~T '! i'f1 f.
^ ' *
, ' "_ ' '.
4. .-;ซ{- ,.
-i^fijjid, ,j
*ฃ&y!rC'.i
^^^^g^^-^ i
K^f^':l
a*' -3-'*!L...
0
\/(a|r%riiile
Vdiuoitli:
Flow Dir
29.64
31.27
29.80
30.24
30.32
30.27
30.56
30.74
30.74
31.26
31.02
31.29
31.67
29.75
31.66
29.91
30.05
30.47
30.38
30.65
30.85
30.98
31.21
31.06
31.71
31.83
25.33
31.35
30.00
30.33
30.47
30.31
30.58
30.82
30.85
31.42
31.19
31.37
32.00
Vdir
28.24
31.43
29.90
30.21
30.42
30.32
30.60
30.81
30.86
31.30
31.09
31.46
31.83
Jซ ft/Q~f,
Axial
25.75
27.92
28.47
29.54
29.90
30.10
30.56
30.63
30.54
30.14
29.24
28.49
27.43
25.84
27.78
28.57
29.30
29.86
30.21
30.65
30.74
30.74
30.26
29.38
28.98
27.94
22.00
28.00
28.54
29.63
29.93
30.18
30.58
30.71
30.68
30.21
29.29
28.57
27.91
Vax
24.53
27.90
28.53
29.49
29.90
30.17
30.60
30.69
30.65
30.20
29.30 I
28.68
27.76 I
TABC234.WK4
C2-117
10/12/98
-------
Table C2-35. SPH-3 Computations: 60fps
Probe: Spherical SPH-3 / NIST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
03/04/98
Number Of Points:
'39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
F^itph Yi\u i
~HUI1 F aฅV ~""r -"""
Rep Angle Angle P4-P5 P1-P2
1 -30 0.0 -1.150 0.550
-25 -0.2 -1.300 0.670
-20 -0.1 -1.240 0.750
-15 -0.1 -1.000 0.790
-10 -0.1 -0.750 0.800
-5 0.0 -0.500 0.800
0 0.3 -0.290 0.790
5 0.4 0.090 0.780
10 0.3 0.400 0.760
15 0.5 0.700 0.740
20 0.5 1.000 0.700
25 0.5 1.150 0,650
30 1.2 1.320 0.600
2 -30 -0.5 -1.140 0.540
-25 -0.5 -1.420 0.670
-20 -0.1 -1.250 0.750
-15 -0.1 -1.100 0.780
-10 -0.1 -0.720 0.800
-5 0.0 -0.500 0.800
0 0.0 -0.290 0.800
5 0.4 0.090 0.780
10 0.4 0.400 0.770
15 0.3 0.750 0.730
20 0.4 0.950 0.710
25 0,4 1.150 0.650
30 0.9 1.300 0.630
3 -30 -0.5 -1.150 0.550
-25 -0.5 -1.400 0.680
-20 -0.1 -1.290 0.740
-15 -0:1 -1.050 0.780
-10 -0.2 -0.800 0.800
-5 0.0 -0.500 0.800
0 -0.1 -0.290 0.800
5 -0.1 0.120 0.790
10 0.1 0,410 0.770
15 -0.4 0.700 0.740
20 0.6 0.910 0.720
25 0.5 1.160 0,660
30 1.0 1.330 0.630
Gas
Temp, F
84
84
84
84
84
84
84
83
83
83
83
83
83
87
87
87
87
87
87
87
86
86
86
86
86
86
87
87
87
87
87
86
86
86
86
86
86
86
86
Average
29.85
0.00
29.85
28.84
28.73
NA
0
55.14
0.3
15.5
15.5
9.40
ซ fi$
Pitch
-25.5
-20.0
-15.8
-10.6
-6.4
-2.3
0.9
6.9
11.9
17.0
22.7
26.6
30.0
-25.9
-26.0
-16.0
-12.5
-5.9
-2.3
1.0
6.9
11.8
18.0
21.7
26.6
30.0
-25.5
-24.9
-17.1
-11.7
-7.2
-2.3
1.0
7.3
12.0
17.0
20.8
26.5
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-3
1.00
0.00
20.9
1
3.86%
83 F
61 ~
Volumetric Air Flow Rate,
SCFM Wet:
SOI CO s,-^
Resultant
25.5
20.0
15.8
10.6
6.4
2.3
1.0
6.9
11.9
17.0
22.7
26.6
30.0
25.9
26.0
16.0
12.5
5.9
2.3
1.0
6.9
11.8
18.0
21.7
26.6
30.0
25.5
24.9
17.1
11.7
7.2
2.3
1.0
7.3
12.0
17.0
20.8
26.5
30.0
Res
25.63 I
23.64
16.30
11.63
6.46
2.32
0.99
7.04
Pt-Ps
0.5998
0.6616
0.7091
0.7171
0.7201
0.7273
0.7270
0.7334
0.7412
0.7555
0.7618
0.7554
0.7447
0.5968
0.7445
0.7106
0.7181
0.7198
0.7273
0.7363
0.7334
0.7503
0.7512
0.7611
0.7554
0.7819
0.4992
0.7259
0.7094
0.7136
0.7207
0.7273
0.7363
0.7447
0.7515
0.7555
0.7622
0.7650
0.7819
i^llf^^xif^^'
ll^iSliipftx;;
^:-^|ipSr^!.
0]
V/A! f\ f**it i A Q
v ci uui uca ,
Flow Dir
52.74
55.39
57.34
57.66
57.78
58.07
58.06
58.26
58.57
59.13
59.38
59.13
58.70
52.75
58.91
57.56
57.86
57.93
58.23
58.59
58.42
59.09
59.12
59.51
59.29
60.32
48.24
58.18
57.51
57.68
57.96
58.18
58.54
58.87
59.14
59.29
59.56
59.66
60.32
Vdir
51.24
57.49
57.47
57.73
57.89
58.16
58,40
58.51
11.92 58.93
17.35
21.74
26.56
30.02
jSBiflS
misiis
lx'^1Si5P
59,18
59.48
59.36
59.78
ft /CO/*
Axial
47.59
52.05
55.17
56.67
57.43
58.02
58.05
57.84
57.30
56.54
54.78
52.87
50.83
47.46
52.95
55.33
56.48
57.62
58.18
58.58
58.00
57.83
56.23
55.30
53.01
52.23
43.54
52.76
54.96
56.48
57.51
58.13
58.53
58.39
57.84
56.69
55.66
53.41
52.23
Vax
46.20
52.58
55.16
56.54
57.52
58.11
58.39
58.07
57.66
56.49
55.25
53.09
5176_J
JABC235.WK4
C2-118
10/12/98
-------
Table C2-36. SPH-3 Computations: 90 fps
Probe: Spherical SPH-3 / N1ST 30-60 Calibration
Velocity Point: 90 fps
Ca! Date:
03/04/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Piff*h Ynw -- i {-sl"
i llvซl i I dw ' ~~ \3aa
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.85
0.00
29.85
28.84
28.73
NA
0
82.56
0.3
16.1
16.1
9.53
ซ j^N
Pitch
Probe ID:
Pitot Cp:
CO2, %d:
02, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-3
1.00
0.00
20.9
1
4.54%
88 F
61
Volumetric Air Flow Rate,
SCFM Wet:
r
f^l F-^ ป
Resultant Pt-Ps
ol
Wolrtfitictc ft/ccปr>
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
s
10
15
20
25
30
-0.5
-0.2
0.0
0.0
0.0
0.0
0.0
0.0
0.2
0.7
0.8
0.9
0.9
-0.7
-0.2
0.0
-0.1
-0.1
-0.1
-0.1
0.0
0.0
-0.6
-0.7
-0.9
-1.0
-0.3
-0.3
-0.1
-0.1
-0.2
0.0
0.0
0.1
0.1
0.6
0.8
0.9
-1.0
-2.800
-3.000
-3.000
-2.450
-1.900
-1.240
-0.500
0.250
1.000
1.610
2.150
2.550
2.950
-2.650
-3.000
-2.900
-2.450
-1.650
-1.240
-0.850
-0.020
0.830
1.550
2.000
2.500
2.900
-2.700
-2.950
-2.900
-2.400
-1.970
-1.200
-0.600
0.240
0.900
1.500
2.000
2.550
2.950
1.190
1.400
1.620
1.730
1.760
1.790
1.780
1.740
1.700
1.640
1.570
1.470
1.370
1.200
1.440
1.640
1.730
1.770
1.800
1.780
1.750
1.740
1.650
1.600
1.500
1.350
1.190
1.450
1.640
1.750
1.780
1.800
1.780
1.750
1.730
1.650
1.600
1.480
1.360
91
90
90
90
89
89
89
88
88
88
87
86
85
88
88
89
90
90
91
91
92
92
92
93
93
93
95
95
94
94
94
93
93
93
92
92
91
91
90
-30.0
-26.4
-18.7
-12.6
-8.2
-3.2
2.0
7.2
12.7
17.5
22.0
26.2
30.0
-27.5
-25.4
-17.5
-12.6
-6.3
-3.1
-0.4
5.3
11.3
16.9
20.7
25.4
30.0
-28.6
-23.9
-17.5
-12.0
-8.6
-2.9
1.3
7.1
11.8
16.6
20.7
26.1
30.0
30.0
26.4
18.7
12.6
8.2
3.2
2.0
7.2
12.7
17.5
22.0
26.2
30.0
27.5
25.4
17.5
12.6
6.3
3.1
0.4
5.3
11.3
16.9
20.7
25.4
30.0
28.6
23.9
17.5
12.0
8.6
2.9
1.3
7.1
11.8
16.6
20.7
26.1
30.0
1.5210
1.5793
1.5788
1.5936
1.5871
1.6215
1.6426
1.6393
1.6700
1.6801
1.6918
1.6946
1.7003
1.4103
1.5626
1.5782
1.5936
1.5931
1.6309
1.6311
1.8305
1.6871
1.6834
1.6897
1.7014
1.6755
1.0962
1.5241
1.5782
1.6050
1.6056
1.6329
1.6397
1.6479
1.6860
1.6784
1.6897
1.7014
~1.6879
84.51
86.04
86.03
86.43
86.17
87.10
87.67
87.50
88.32
88.58
88.81
88.80
88.87
81.16
85.43
85.93
86.43
86.42
87.52
87.52
87.58
89.09
88.99
89.24
89.55
88.86
72.01
84.91
86.32
87.05
87.07
87.73
87.91
-88.13
89.06
88.86
89.08
89.39
88.95
73.19
77.06
81.49
84.35
85.29
86.97
87.62
86.80
86.17
84.50
82.32
79.67
76.95
71.96
77.18
81.97
84.35
85.90
87.38
87.52
87.21
87.36
85.13
83.49
80.88
76.95
63.23
77.63
82.34
85.14
86.10
87.62
87.89
87.44
87.16
85.17 '
83.33
80.29
77.02
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
C2-119
28.71
25.23
17.88
12.41
7.69
3.06
1.25
6.56
11.95
17.00
21.14
25.90
30.01
7933
85.46
86.09
86.64
86.55
87.45
87.70
87.74
88.82
88.81
89.04
89.25
88.90
Vax
6SI46
77.29
81.93
84.61
85.76
87.32
87.67
87.15
86.90
84.93
83.05
80.28
76.97
TABC236.WK4
10/12/98
-------
This Page Intentionally Left Blank
C2-120 .
-------
ATTACHMENT M.
Spherical Probe SPH-4 Calibration Data
C2-121.
-------
3
2
1
LL 0
-1
-2
-3
~
Figure C2-34. Spherical Probe (SPH-4): Avg. (30-60 fps) Fl vs. Pitch Angle j
NCSU Post-Test and NIST Wind Tunnel Calibrations |
: ' I ( I ' ' i I , i ' '
^ ; ; i i M ; j ; ; : : ; ' ' : ! |
' ' i ; ! : ! ' ; : I ^P\\
I I , I ! | : : :
' ' ! < I ,
' ' ! i
.--.;. - - | -
1 ' ' " ' ' ' ! ' A
; '. \ - \ \ m^^^
' 9*>-^ '' ' i
: i ^^ ' i i
i^*"*^ ; ! !
|^:- . , ; :
: , ^ JL-^^ \ . ' j |
-30 -25 -20
M-"'^"'"""
J-
-------
Figure C2-35. Spherical Probe (SPH-4): Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
y_
1.25 f
1.20
1.15
1.10
1.05 -
1.00
0.95 L-
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test + NIST
1
[Note: Each point represents the mean of three replicates7|
FC234-36.WK4
-------
Figure C2-36. Spherical Probe (SPH-4): Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
CNI
O
S
I
2.0
1.0 -
0.0
-1,0 -
Q .3.0 _
-4.0 -
-5.0 -
-6.0
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
[Note: Each point represents the mean of three replicatesT)}
FC234-36.WK4
-------
Table C2-37. Spherical Probe SPH-4: NIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-28
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
25.04
21.36
16.04
12.27
9.20
3.46
1.42
4.75
11.50
16.51
22.59
27.36
30.01
Directional
Velocity
(fps)
28.56
29.89
30.43
31.01
31.22
31.45
31.36
31.13
30.98
31.27
31.76
32.15
31.60
Axial
Velocity
(fps)
25.84
27.82
29.23
30.29
30.80
31.38
31.35
30.99
30.36
29.97
29.32
28.55
27.37
30 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
26.46
23.61
18.26
13.94
11.11
4.13
1.34
4.98
12.3i
16.37
21.35
26.40
30.01
Directional
Velocity
(fps)
29.88
31.74
31.66
31.93
32.11
32.17
31.97
31.74
31.54
31.67
31.89
32.05
31.79
Axial
Velocity
(fps)
26.74
29.06
30.04
30.98
31.50
32.06
31.96
31.58
30.80
30.39
29.70
28.71
27.53
% Change
Resultant
Angle
5.66
10.52
13.81
13.61
20.73
19.43
-5.70
4.81
7.77
-0.83
-5.52
-3.50
-0.00
Directional
Velocity
4.64
6.16
4.06
2.98
2.88
2.29
1.95
1.97
L 1-79
1.31
0.39
-0.31
0.59
Axial
Velocity .
3.45
4.47
2.80
2.28
2.27
2.19
1.95
1.90
1.46
1.38
1.28
0.54
0.59
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
29.05
22.55
17.58
Directional
Velocity
(fps)
56.36
57.30
57.94
12.91 I 57.86
7.81 58.86
4.04
0.91
7.01
12.22
16.70
21.40
25.89
30.00
58.90
59.01
58.68
58.43
59.36
59.95
60.23
60.01
Axial
Velocity
(fps)
49.27
52.91
55.24
56.39
58.31
58.76
59.00
58.23
57.10
56.85
55.82
54.19
51.97
60 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
29.25
24.55
20.05
14.62
9.81
4.77
0.98
7.55
12.98
16.51
20.18
24.70
29.94
Directional
Velocity
(fps)
58.51
60.74
60.47
59.62
60.45
60.26
60.16
59.83
59.43
60.13
60.33
60.02
60.33
Axial
Velocity
(fps)
51.05
55.25
56.81
57.68
59.57
60.05
60.15
59.30
57.91
57.64
56.63
54.52
52.28
% Change
Resultant
Angle
0.68
8.86
14.00
.13.23
25.58
18.04
7.45
7.71
6.25
-1.11
-5.70
-4.59
-0.20
Directional
Velocity
Axial
Velocity
3.81 I 3.61
6.01
4.36
3.05
2.70
2.30
1.95
1.97
1.71
1.30
0.64
-0.36
4.41
2.84
2.30
2.15
2.20
1.94
1.83
1.41
1.40
1.46
0.62
0.54 i 0.60
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
29.68
25.13
18.93
13.12
8.79
Directional
Velocity
(fps)
83.11
87.61
87.14
87.30
87.57
4.84 | 88.03
0.82
6.84
88.61
87.71
11.71 88.41
16.61 I 89.02
21.02 I 89.61
25.60
29.80
89.41
89.34
Axial
Velocity
(fps)
72.22
79.29
82.41
85.02
86.53
87.71
88.60
87.08
86.57
85.30
83.64
80.63
77.53
90 fps / October / 30-60 Calibration
Resultant
Angle
(degrees)
29.72
26.58
21.45
14.70
10.77
5.85
0.92
7.29
12.57
16.44
19.83
24.39
29.46
Directional
Velocity
(fps)
85.90
93.11
91.68
89.81
90.11
90.18
90.35
89.45
Axial
Velocity
(fps)
74.61
83.26
85.31
86.87
88.51
89.70
90.34
88.72
89.98 ! 87.82
90.18
90.27
86.48
84.92
89.17 81.21
89.59
78.00
% Change
Resultant
Angle
0.14
5.75
13.30
12.03
22.52
20.81
11.80
6.57
7.29
Directional
Velocity
3.35
6.27
5.21
2.87
2.90
2.44
1.96
1.98
1.77
-0.99 i 1.30
-5.65
-4.74
-1.14
0.74
-0.28
0.28
Axial
Velocity
3.31
5.00
3.52
2.17
2.29
2.27
1.96
1.88
1.44
1.39
1.53
0.71
0.61
TABC237.WK4
C2-125
-------
9
iป
to
Ox
Figure C2-37. Spherical Probe SPH-4: Percent Differences in NCSU Post-Test and NIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
to
H
D
00
U
0)
u
I -1 h
a -2
-3 \
-4
-30
--30 fps
-e- 60 fps
^-90 fps
-25 -20 -15 -10
-5 0 5
Pitch Angle (degrees)
10
15
20
25 30
TABC237.WK4
-------
Table C2-38. SPH-4 Computations: 30 fps
Probe: Spherical SPH-4 / NIST 30-60 Calibration
Velocity Point: 30 fps - Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wf. Dry, ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pttfh Y*iw i
i ILL*i 1 I aW j ""ปปซ*==-- TI TI in i.
Rep Angle Angle P4-P5 P1-P2
1 -30 -0.6 -0.330 0.17S
-25 -0.5 -0.340 0.195
-20 -0.4 -0.300 0.210
-15 -0.4 -0.260 0.225
-10 -0.5 -0.220 0.230
-5 -0.4 -0.140 0.234
0 -0.5 -0.060 0.231
5 -1.1 -0.040 0.225
10 -1.3 0.138 0.213
15 -0.9 0.186 0.205
20 -0.6 0.300 0.200
25 -0.6 0.360 0.189
30 -0.8 0.400 0.178
2 -30 0.2 -0.350 0.166
-25 0.1 -0.360 0.180
-20 0.0 -0.350 0.210
-15 . 0.6 -0.300 0.225
-10 0.6 -0.270 0.235
-5 0.6 -0.160 0.239
0 -0.1 -0.035 0.230
5 1.4 0.000 0.229
10 0.7 0.100 0.215
15 1.0 0.200 0.214
20 -0.1 0.280 0.200
25 0.8 0.350 0.190
30 0.8 0.400 0.170
3 -30 0.0 -0.330 0.164
-25 -0.1 -0.340 0.194
-20 -0.2 -0.300 0.208
-15 -0.2 -0.270 0.223
-10 -0.1 -0.200 0.228
-5 0.0 -0.080 0.230
0 0.1 -0.030 0.226
5 0.2 0.060 0.215
10 0.2 0.120 0.208
15 ' -0.3 0.210 0.200
20 -0.3 0.290 0.198
25 0.2 0.350 0.185
30 0.3 0.400 0.170
Gas
\JOk>
Temp, F
82
82
82
82
82
82
82
82
82
82
81
81
81
92
92
91
91
90
90
90
90
90
89
89
89
89
81
81
81
81
81
82
82
82
82
82
82
83
83
Average
29.71
0.00
29.71
28.84
28.73
NA
0
29.48
0:5
15.5
15.5
9.24
ซ AN
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
SPH-4
1.00
0.00
20.9
1
3.76%
Avg Temp: 82 _F
Last Row:
61
Volumetric Air Flow Rate,
SCFM Wet:
r:i co ปป
Pitch Resultant
-22.4
-19.6
-14.8
-11.3
-8.7
-4.1
-0.1
1.2
12.5
15.7
23.1
27.6
30.0
-27.7
-24.7
-18.4
-13.5
-11.2
-5.0
1.7
4.4
10.3
16.1
22.0
26.9
30.0
-25.0
-19.7
-14.9
-12.0
-7.7
-1.2
2.0
8.0
11.6
17.6
22.7
27.5
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
22.4
19.6
14.8
11.3
8.7
4.2
0.5
1.7
12.6
15.8
23.1
27.6
30.0
27.7
24.7
18.4
13.6
11.2
5.0
1.7
4.6
10.3
16.1
22.0
27.0
30.0
25.0
19.7
14.9
12.0
7.7
1.2
2.0
8.0
11.6
17.6
22.7
27.5
30.0
Res
25.04
21.36
16.04
12.27
9.20
3.46
1.42
4.75
11.50
16.51
22.59
27.36
30.01
Pt-Ps
0.1796
0.1918
0.1966
0.2052
0.2075
0.2111
0.2119
0.2072
0.2089
0.2071
0.2190
0.2241
0.2209
0.1965
0.1917
0.2040
0.2087
0.2142
0.2149
0.2121
0.2126
0.2063
0.2169
0.2153
0.2223
0.2110
0.1496
0.1911
0.1949
0.2045
0.2055
0.2101
0.2086
0.2034
0.2023
0.2052
0.2155
0.2188
0.2110
i3;f;3|8s:l
,5iiii!S.5%::
liilifi!
I 0]
\/AlAHHAซi
Flow Dir
28.87
29.83
30.20
30.86
31.03
31.30
31.36
31.01
31.14
31.01
31.85
32.22
31.99
30.48
30.10
. 31.03
31.38
31.76
31.81
31.60
31.65
31.17
31.93
31.81
32.33
31.49
26.32
29.75
30.05
30.78
30.85
31.23
31.11
30.73
30.64
30.86
31.62
31.90
31.32
Vdir
1 28.56
I 29.89
1 30.43
1 31.01
| 31.22
J 31.45
1 31-36
1 31.13
i 30.98
1 31.27
1 31.76
1 32-15
1 31.60
ft/ _
Axial
28.70
28.11
29.20
30.26
30.67
31.22
31.36
31.00
30.39
29.84
29.29
28.55
27.70
26.97
27.34
29.44
30.51
31.16
31.69
31.59
31.54
30.67
30.67
29.51
28.82
27.27 .
23.86
28.00
29.03
30.11
30.58
31.22
31.09
30.43
30.01
29.41
29.17
28.30
27.12
Vax
25J4
27.82
29.23
30.29
30.80
31.38
31.35
30.99
30.36 i
29.97
29.32 !
28.55
27.37
TABC238.WK4
C2-127'
10/12/98
-------
Table C2-39. SPH-4 Computations: 60fps
Probe: Spherical SPH-4 / N1ST 30-80 Calibration
Velocity Point: 60 fps Cal Date:
03/04/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H20
Pitch Ysiw m" ni "L
Rep Angle Angle P4-P5 P1-P2
1 -30 -0.4 -1.330 0.630
-25 0.1 -1.300 0.700
-20 0.2 -1.200 0.750
-15' -0.1 -1.050 0.760
-10 0.1 -0.750 0.830
-5 0.2 -0.460 0.830
0 0.5 -0.170 0.810
5 1.0 0.090 0.800
10 1.1 0.450 0.750
15 1.1 0.680 0.750
20 -0.5 1.000 0.740
25 0.7 1.210 0.700
30 0.4 1.350 0.630
2 -30 -0.2 -1.300 0.580
-25 -0.2 -1.300 0.670
-20 -0.3 -1.230 0.750
-15 -0.3 -1.000 0.780
-10 -0.3 -0.750 0.830
-5 -0.3 -0.500 0.820
0 -0.3 -0.300 0.820
5 0.5 0.170 0.780
10 0.6 0.450 0,750
15 0.6 0.730 0.740
20 0.6 0.930 0.720
25 -0.2 1.150 0.670
30 0.1 1.350 0.620
3 -30 -0.2 -1.320 0.610
-25 -0.4 -1.300 0.690
-20 -0.4 -1.200 0.750
-15 -0.3 -0.950 0.800
-10 -0.4 -0.700 0.820
-5 -0.3 -0.500 0.830
0 -0.4 -0.220 0.820
5 0.4 0.200 0.780
10 -0.8 0.500 0.750
15 -0.8 0.770 0.740
20 -0.8 1.000 0.710
25 0.4 1.200 0.670
30 0.4 1.380 0.620
Gas
Temp, F
83
83
83
84
84
84
84
84
85
85
85
86
85
82
82
82
82
82
82
83
83
83
83
83
83
83
84
83
83
83
83
83
83
83
83
83
83
83
83
Average
29.71
0.00
29.71
28.84
28.73
NA
0
55.70
0.4
16.0
16.0
9.26
ซ At*
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-4
1.00
0.00
20.9
1
3.61%
81
61
_F
Volumetric Air Flow Rate,
jni cc ป>
Pitch Resultant
-27.8
-21.8
-17.4
-14.2
-8.0
-3.6
0.7
6.0
11.9
15.7
21.4
25.7
30.0
-30.0
-23.5
-18.0
-12.9
-8.0
-4.3
-1.4
7.2
11.9
16.8
20.7 .
25.6
30.0
-29.3
-22.4
-17.4
-11.7
-7.4
-4.2
-0.2
7.7
12.7
17.5
22.1
26.4
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
27.8
21.8
17.4
14.2
8.0
3.6
0.8
6.0
12.0
15.8
21.4
25.7
30.0
30.0
23.5
18.0
12.9
8.0
4.3
1.4
7.3
11.9
16.8
20.7
25.6
30.0
29.3
22.4
17.4
11.7
7.4
4.2
0.5
7.7
12.8
17.5
22.1
26.4
30.0
Res
29.05
22.55
17.58
12.91
7.81
4.04
0.91
7.01
12.22
16.70
21.40
25.89
30.00
SCFM Wet:
L
Pt-Ps
0.7477
0.7118
0.7210
0.7082
0.7483
0.7505
0.7449
0.7482
0.7314
0.7578
0.7900
0.7989
0.7819
0.7413
0.7000
0.7256
0.7200
0.7483
0.7394
0.7484
0.7349
0.7314
0.7541
0.7608
0.7626
0.7695
0.5684
0.7079
0.7210
0.7318
0.7388
0.7487
0.7520
0.7369
0.7372
0.7584
0.7654
0.7753
0.7695
0
X/AlAf^itif
VtslUvlUS
Flow Dir
58.96
57.53
57.90
57.44
59.04
59.13
58.91
59.04
58.42
59.47
60.72
61.12
60.41
58.66
57.00
58.03
57.81
58.93
58.58
58.99
58.46
58.32
59.21
59.48
59.55
59.82
51.46
57.37
57.90
58.33
58.61
59.00
59.13
58.53
58.55
59.38
59.66
60.04
59.82
Vdir
56.36
57.30
57.94
57.86
58.86
58.90
59.01
58.68
58.43
59.36
59.95
60.23
60.01
jซ ฃป/ฃ,ซ
Axial
52.15
53.42
55.26
55.69
58.46
59.01
58.90
58.71
57.15
57.23
56.53
55.06
52.31
50,80
52.27
55.19
56.35
58.36
58.42
58.97
57.99
57.06
56.69
55.63
53.71
51.80
44.86
53.06
55.26
57.13
58.13
58.84
59.13
58.00
57.10
56.63
55.29
53.78
51.80
Vax
49.27
52.91
55.24
56.39
58.31
58.76
59.00
58.23
57.10
56.85
55.82
54.19
51.97
JABC239.WK4
C2-128
10/12/98
-------
Table C2-40. SPH-4 Computations: 90fps
Probe: Spherical SPH-4 / MIST 30-60 Calibration
Velocity Point: 90 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Piffh Vi\w f-ii**
fllvt I I ซปฅ "" ป--"-'-ซT -M.-..- V3c[o
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.71
0.00
29.71
28.84
28.73
NA
0
83.27
0.3
16.4
16.4
9.35
ซ ANfil F<5 ป
*.-* ^l^\J[_CO '^^
Pitch Resultant
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-4
1.00
0.00
20.9
1
4.23%
86 F
61
Volumetric Air Flow Rate,
SCFM Wet:
I
;
Pt-Ps
0
V*ปlfW""itiAC ft/Cffr1
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
0.2
0.0
0.3
0.5
0.2
0.2
0.1
1.2
1.0
0.8
0.5
0.8
0.9
0.1
-0.3
-0.2
-0.3
-0.3
-0.2
-0.2
0.3
-0.8
0.5
-0.1
0.1
0.3
0.1
0.0
-0.3
-0.2
-0.2
-0.2
-0.1
0.3
0.5
0.4
-0.1
0.3
0.5
-2.900
-3.000
-2.850
-2.300
-1.800
-1.160
-0.500
0.300 -
1.000
1.630
2.070
2.550
2.930
-2.800
-3.030
-2.700
-2.250
-1.630
-1.340
-0.580
0.350
0.880
1.500
2.250
2.550
2.850
-2.950
-3.050
-2.900
-2.300
-1.800
-1.100
-0.650
0.300
1.100
1.700
2.050
2.600
3.000
1.280
1.550
1.650
1.770
1.810
1.840
1.830
1.750
1.700
1.670
1.600
1.500
1.400
1.300
1.500
1.670
1.750
1.800
1.830
1.820
1.730
1.730
1.650
1.630
1.500
1.360
1.300
1.470
1.650
1.750
1.820
1.830
1.830
1.750
1.700
1.650
1.600
1.480
1.360
95
95
95
94
94
93
93
92
92
91
90
90
89
80
81
82
83
83
83
84
84
85
86
86
87
87
85
86
87
87
88
88
89
89
89
90
90
90
91
-30.0
-23.4
-19.3
-13.1
-9.2
-4.5
-0.3
6.7
11.8
16.7
20.7
25.4
29.7
-29.0
-25.2
-17.6
-12.9
-8.0
-5.8
-0.8
7.1
10.8
15.8
21.7
25.4
29.7
-30.0
-26.8
-19.8
-13.3
-9.1
-4.2
-1.3
6.7
12.5
17.4
20.6
26.0
30.0
30.0
23.4
19.3
13.1
9.2
4.5
0.3
6.8
11.8
16.7
20.7
25.4
29.7
29.0
25.2
17.6
12.9
8.1
5.8
0.9
7.1
1.0.8
15.8
21.7
25.4
29.7
30.0
26.8
19.8
13.3
9.1
4.2
1,3
6.7
12.5
17.4
20.6
26.0
30.0
1.6360
1.6168
1.6186
1.6366
1.6337
1.6574
1.6779
1.6434
1.6556
1.6999
1.6912
1.7010
1.7272
1.6096
1.6165
1.6097
1.6160
1.6229
1.6464
1.6650
1.6282
1.6688
1.6676
1.7488
1.7010
1.6788
1.2020
1.6808
1.6263
1.6204
1.6426
1.6508
1.6711
1.6434
1.6672
1.6892
1.6875
1.6996
1.6879
88.18
87.66
87.71
88.11
88.03
88.59
89.14
88.14
88.46
89.56
89.25
89.51
90.11
86.27
86.54
86.43
86.68
86.87
87.49
88.07
87.09
88.25
88.30
90.42
89.26
88.68
74.90
88.65
87.28
87.12
87.79
88.01
88.63
87.90
88.53
89.19
89.15
89.47
89.24
76.36
80.44
82.75
85.81
86.90
88.31
89.14
87.52
86.59
85.79
83.46
80.85
78.28
75.42
78.30
82.37
84.48
86.01
87.05
88.06
86.43
86.68
84.97
84.00
80.64
77.02
64.86
79.14
82.11
84.78
86.68
87.78
88.61
87.30
86.43
85.13
83.45
80.41
77.28
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
29.68
25.13
18.93
13.12
8.79
4.84
0.82
6.84
11.71
16.61
21.02
25.60
29.80
83.1'
87.61
87.14
87.30
87.57
88.03
88.61
87.71
88.41
89.02
89.61
89.41
89.34
Vax
79.29
82.41
85.02
86.53
87.71
88.60
87.08
86.57
85.30
83.64
80.63
77.53
TABC240.WK4
C2-129
10/12/98
-------
This Page Intentionally Left Blank
C2-130
-------
ATTACHMENT N.
Spherical Probe SPH-5 Calibration Data
C2-131
-------
Figure C2-38. Spherical Probe (SPH-5): Avg. (30-60 fps) Fl vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
-25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test NIST
Note: Each point represents the mean of three replicates. |
FC238-40.WK4
-------
]
i in
I .j(J
1 OK
I .ฃ.3
Ion
.ZU
1.15
CM
U_
1 1D
i rm
1 .UD
1.00
One
,yo
Figure C2-39. Spherical Probe (SPH-5): Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
; : ' : ! i i : ' ! ! i i : : i _; ]
i i j i ! ; : : : : , i . i : ; : :
\ ' ' ' ' ' , ' ; i ] : ' : ' i :
\ i : , ; ! ' -
H \ ! ! : i i ' ! ' ! : I : < I ': ] '''
h"\ : VT" "i " I" r : "\ -VTT r ! "T T~^ T '' 1 "!
h -V-iv : !-!-: |--;- --i-: - i -:; ' \-~
^^x^x ^ ' l ' : ^ : ' ' ' ^ : ' -] /i
111 ^\ ' ' ! ' ^m ^^~~~~~"^^
-^^^ ^ . | ; . - : ; . -^v.~: I
: 1. ...!. :.^. ^^m^^^^^^^^ ; - -i-..
! : ' "" l~~--i~-~J3__^E|:------ -~mm
', : i , HH ^^" ' f
', ,,!.! 1 .'...': \ .-. :. ....,
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
NCSU Post-Test + NIST |
^^"*
Note: Each point represents the mean of three replicates. |
FC238-40.WK4
-------
Figure C2-40. Spherical Probe (SPH-5): Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
j
-15
15 20
-10 -5 0 5 10
Pitch Angle (degrees)
| Note: Each point represents the mean of three replicates7|
25 30
FC238-40.WK4
-------
Table C2-41. Spherical Probe SPH-5: MIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
28.99
22.82
17.86
15.30
9.83
4.99
2.39
2.73
10.55
15.66
20.82
24.69
29.68
Directional
Velocity
(fps)
28.14
28.91
29.32
30.00
30.06
30.46
30.60
30.74
31.37
31.91
Axial
Velocity
(fps)
24.61
26.61
27.91
28.92
29.53
30.31
30.57
30.65
30.83
30.72
31.84 ! 29.75
31.94
32.33
29.02
28.09
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.90
25.44
20.10
17.58
Directional
Velocity
(fps)
30.69
32.44
32.30
33.01
11.73 32.80
6.16 I 32.87
2.70
3.50
11.57
15.35
20.37
24.12
30.00
32.68
32.57
32.59
32.58
32.25
32.20
31.77
Axial
Velocity
(fps)
26.61
29.25
30.34
31.45
31.99
32.62
32.65
32.43
31.93
31.42
30.23
29.38
27.51
Resultant
Angle
3.14
11.46
12.53
14.88
19.32
23.52
12.79
28.43
9,67
-1.99
-2.17
-2.31
1.10
% Change
Directional
Velocity
9.07
12.20
10.18 _j
10.03
9,14
7.93
6.81
5.94
3.90
2,11
1.29
0.81
-1.73
Axial
Velocity
8.12
9.89
8.71
8.75
8.33
7.62
6.78
5.81
3.55
2.27
1.60
1.26
-2.05
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
27.11
23.21
17.37
12.52
8.61
3.89
1.09
5.35
11.66
16.71
21.88 .
26.67
29.98
Directional
Velocity
(fps)
52.57
53.90
54.81
55.41
56.11
56.77
57.30
58.28
59.38
60.32
59.75
60.37
Axial
Velocity
(fps)
46.79
49.54
52.31
54.08
55.48
56.64
57.29
57.95
58.15
57.77
55.44
53.93
60.55 I 52.45
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.82
25.75
19.59
14.90
10.80
4.79
1.38
6.42
12.36
16.30
21.39
26.59
30.00
Directional
Velocity
(fps)
58.24
60.53
60.34
60,85
61.07
61.16
61.01
61.29
61.46
61.45
60.39
60.44
59.33
Axial
Velocity
(fps)
50.52
54.52
56.85
58.80
59.99
60.93
60.99
60.82
L 60.04
58.98
56.23
54.03
51.38
% Change
Resultant
Angle
10.00
10.95
12.79
18.98
25.49
23.26
26.68
Directional
Velocity
10.80
12.30
10.09
9.82
8.84
7.73
6.48
20.10 j 5.18
6.00
-2.48
-2.27
-0.32
0.07
3.51
1.88
1.07
0.12
Axial
Velocity
7.99
10.05
8.67
8.71
8.13
7.59
6.46
4.95
3.24
2.10
1.42
0.18
-2.01 I -2.03
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
28.56
24.24
18.78
14.61
8.83
4.39
1.24
7.43
Directional
Velocity
(fps)
79.87
81.95'
83.04
83.70
84.26
85.27
86.48
88.20
12.09 i 89.64
15.98
20.52
25.28
29.97
Axial
Velocity
(fps)
70.15
74.72
78.62
80.99
83.26
84.99
86.48
87.46
87.66
90.56 i 87.06
90.30
90.82
84.56
82.12
90.01 I 77.97
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.53
27.04
21.09
16.87
11.03
5.40
1.91
8.75
12.66
15.56
20.09
24.65
30.00
Directional
Velocity
(fps)
87.56
Axial
Velocity
(fps)
76.21
92.62 | 82.49
91.94
92.11
85.78
88.14
91.80 90.10
91.90
91.86
92.33
92.64
92.37
91.41
91.52
88.21
91.43
91.81
91.25
90.38
88.98
85.85
83.18
76.39
% Change
Resultant
Angle
3.38
11.54
12.29
15.45
24.92
Directional
Velocity
Axial
Velocity
9.63 I 8.64
13,03 | 10.40
10.72
10.04
8.94
23.14 I 7.78
54.38
17.76
4.73
-2.61
-2.13
6.21
4.68
L 3.34
2.00
1.23
-2.49 i 0.78
0.09 I -2.01
9.11
8.83
8.21
7.58
6.18
4.34
3.11
2.21
1.52
1.30
-2.04
TABC241.WK4
C2-135
-------
o
Figure C2-41. Spherical Probe SPH-5: Percent Differences in NCSU Post-Test and NIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
- 30 fps
-G- 60 fps
-*- 90 fps
-30 -15 -20 -15 -10 -505
Pitch Angle (degrees)
10 15 20 25
30
TABC241.WK4
-------
Table C2-42. SPH-5 Computations: 30 fps
Probe: Spherical SPH-5 / MIST 30-60 Calibration
Velocity Point: 30 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.61
0.00
29.61
28.84
28.73
NA
0
29.04
0.2
15.9
15.9
9.35
Probe ID: SPH-5
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.24%
Avg Temp: 78 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
! o|
Readings, in.H2O
Pitrh
i flu i
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
I elw
Angle
-0.4
-0.3
-0.3
-0.3
-0.3
0.1
0.1
0.1
0.1
0.1
0.1
0.1
-0.1
-0.4
-0.3
-0.2
0.0
-0.1
0.0
-0.2
-0.2
0.4
0.1
0.0
0.0
0.1
-0.7
-0.2
-0.1
-0.1
-0.1
-0.1
-0.1
-0.1
-0,1
-0.2
-0.1
-0.1
-0.3
P4-P5
-0.350
-0.300
-0.290
-0.230
-0.090
-0.060
0.010
0.100
0.175
0.250
0.333
0.336
0.400
-0.400
-0.370
-0.300
-0.290
-0.250
-0.160
-0.070
-0.030
0.150
0.250
0.300
0.350
0.400
-0.380
-0.350
-0.300
-0.300
-0.230
-0.125
-0.070
-0.030
0.130
0.220
0.300
0.370
0.400
P1-P2
0.155
0.175
0.190
0.202
0.210
0.220
0.219
0.218
0,217
0.214
0.200
0.192
0.178
0.150
0.170
0.190
0.205
0.212
0.220
0.221
0.221
0.222
0.219
0.210
0.200
0.189
0.155
0.175
0.195
0.210
0.215
0.224
0.223
0.221
0.222
0.220
0.210
0.197
0.182
Gas
Temp, F
73
73
73
73
73
73
73
73
73
72
72
72
72
85
85
84
84
84
83
83
83
83
83
82
82
82
84
84
84
84
84
83
83
83
83
83
83
83
83^
Average
ซ AN
ir;i CQ -ปป
Pitch Resultant
-27.0
-19.7
-17.6
-13.0
-3.8
-1.8
2.4
7.8
12.0
16.5
23.0
24.1
30.0
-30.0
-25.5
-18.2
-16.4
-13.5
-7.7
-2.4
-0.1
10.4
16.1
19.7
24.1
29.0
-30.0
-23.2
-17.8
-16.5
-12.2
-5.4
-2.4
-0.1
9.3
14.4
19.7
25.8
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
27.0
19.7
17.6
13.0
3.8
1.8
2.4
7.8
12.0
16.5
23.0
24.1
30.0
30.0
25.5
18.2
16.4
13.5
7.7
2.4
0.2
10.4
16.1
19.7
24.1
29.0
30.0
23.2
17.8
16.5
12.2
5.4
2.4
0.2
9.3
14.4
19.7
25.8
30.0
Res
28.99
22.82
17.86
15.30
9.83
4.99
2.39
2.73
10.55
15.66
20.82
24.69
29.68
Pt-Ps
0.1784
0.1724
0.1831
0.1867
0.1898
0.2004
0.2023
0.2060
0.2118
0.2175
0.2185
0.2133
0.2209
0.1917
0.1854
0.1842
0.1950
0.1966
0.1983
0.2009
0.2028
0.2133
0.2220
0.2191
0.2222
0.2303
0,1432
0.1820
0.1882
0.2001
0
.1974
0.2015
0.2027
0.2028
0
.2116
0.2197
0.2191
0
.2255
0.2259
(V
*'ซ."
*&
ป""-
'._.ซ
/*
f *
* *,*"
f-*~.
K
V
a*
'tt*'1 '*S
"^0.1. 1
K"i -'"',
"7^1 '
>^
_,* V *'
_,,;
1 u " *
_ -
vGiGCItl1
Flow Dir
28.S8
28.09
28.96
29.24
29.48
30.30
30.44
30.72
31.14
31.53
31.60
31.22
31.78
29.96
29.47
29.34
30.19
30.32
30.42
30.61
30.76
31.54
32.18
31.94
32.16
32.75
25.87
29.16
29.66
30.58
30.37
30.66
30.75
30.76
31.42
32.01
31.97
32.43
32.46
Vdir
28.14
28.91
29.32
30.00
30.06
30.46
30.60
30.74
31.37
31.91
31.84
31.94
32.33
ป*
3S, IT/St-G
Axial
25.47
26.44
27.60
28.48
29.41
30.28
30.41
30.43
30.46
30.24
29.10
28.50
27.52
25.95
26.59
27.87
28.97
29.47
30.14
30.59
30.76
31.03
30.91
30.06
29.36
28.63
22.41
26.80
28.25
29.32
29.69
30.52
30.73
30.76
31.01
31.01
30.09
29.19
28.11
Vax
24.61
26.61
27.91
28.92
29.53
30.31 ;
30.57
30.65
30.83
30.72
29.75
29.02
28.09
.TABC242.WK4
C2-137
10/12/98
-------
Table C2-43. SPH-5 Computations: 60fps
Probe: Spherical SPH-5 / NIST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
03/04/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.61
0.00
29.61
28.84
28.73
NA
0
54.45
0.3
15.8
15.9
9.33
Probe ID: SPH-5
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.46%
Avg Temp: 80 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
0
Readings, in.H2O
Pitrh
r llwli
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
" 30
Ysiw
i ciw
Angle
-0.4
-0.3
-0.3
-0.6
-0.4
-0.4
-0.4
-0.3
-0.3
-0.2
-0.1
-0.3
-0.2
-0.7
-0.6
-0.5
-0.5
-0.5
-0.4
-0.3
0.0
-0.3
0.0
0.0
-0.4
-0.3
-0.7
-0.6
-0.4
-0.5
-0.4
-0.4
-0.3
-0.3
-0.3
-0.3
-0.1
-0.2
-0.2
P4-P5
-1.250
-1.200
-1.030
-0.820
-0.600
-0.400
-0.160
-0.020
0.580
0.880
1.100
1.300
1.420
-1.250
-1.200
-1.000
-0.720
-0.590
-0.300
-0.050
0.330
0.640
0.950
1.150
1.310
1.440
-1.240
-1.200
-1.000
-0.820
-0.600
-0.300
-0.030
0.330
0.600
0.900
1.140
1.300
1.450
P1-P2
0.550
0.600
0.670
0.710
0.750
0.760
0.770
0.770
0.775
0.760
0.730
0.690
0.650
0.550
0.600
0.670
0.720
0.750
0.770
0.775
0.790
0,780
0.770
0,680
0.630
0.625
0.550
0.600
0.675
0.720
0.750
0.770
0.760
0.780
0.780
0.770
0.730
0.700
0.630
Gas
WOO
Temp, F
74
75
75
75
75
76
76
76
77
78
78
78
78
85
85
85
85
85
84
84
84
84
84
84
84
83
86
86
85
85
85
85
85
85
85
85
84
84
84
Average
ซ AN
Irtl EC >>v
Pitch Resultant
-27.2
-23.2
-17.7
-13.2
-8.7
-5.0
-1.0
1.4
11.3
16.3
20.8
25.9
29.9
-27.2
-23.2
-17.2
-11.3
-8.5
-3.3
0.9
7.3
12.2
17.3
23.3
28.5
30.0
-26.9
-23.2
-17.1
-13.0
-8.7
-3.3
1.2
7.3
11.5
16.5
21.5
25.6
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
27.2
23.2
17.7
13,2
8.7
5.0
1.1
1.4
11.3
16.3
20.8
25.9
29.9
27.2
23.2
17.2
11.3
8.5
3.3
0.9
7.3
12.2
17.3
23.3
28.5
30.0
26.9
23.2
17.1
13.0
8.7
3.3
1.2
7,3
11.5
16.5
21.5
25.6
30.0
Res
27.11
23.21
17.37
12.52
8.61
3.89
1.09
5.35
11.66
16.71
21.88
26.67
29.98
0
Pt-Ps
6388
0.6239
0.6465
0
0
6571
6766
0.6832
0.7038
0.7095
0.7511
0.7717
0
0
7723
7910
0.8058
0
6388
0.6239
0.6432
0,6566
0
.6765
0.6972
0.7131
0.7444
0.7625
0.7879
0.7466
0.7604
0.7757
0.5090
0.6239
0.6471
0.6653
0.6766
0.6972
0.6999
0.7353
0
.7578
0.7827
0
0
0
\ '
i*
<- *.
f
^ -
j ป"
* ป
V
I
.7810
.7966
.7819
* ' ~" *
- > ')' ' f
15ฃ_ " % .
-,C
f5j>i"'
1'f2^1';"
"!TV" ป
~-f->gjป
^fyyZ -
*ปi* ~ ,
,">-'
ii*'
X/plfiflttP
v CtUUlUC
Flow Dir
54.14
53.55
54.52
54.96
55.77
56.09
56.93
57.16
58.87
59.73
59.75
60.47
61.03
54.69
54.05
54.88
55.45
56.28
57.09
57.73
58.99
59.70
60.68
59.07
59.62
60.16
48.87
54.10
55.05
55.82
56.29
57.14
57.25
58.68
59.57
60.54
60.42
61.02
60.45
Vdir
52.57
53.90
54.81
55.41
56.11
56.77
57.30
58.28
59.38
60.32
59.75
60.37
60.55
<5 ftMAf*
Axial
48.15
49.22
51.92
53.50
55.13
55.88
56.92
57.14
57.73
57.31
55.86
54.38
52.89
48.64
49.67
52.41
54.38
55.66
56.99
57.72
58.51
58.36
57.94
54.25
52.38
52.10
43.58
49.72
52.61
54.38
55.64
57.04
57.24
58.20
58.37
58.05
56.20
55.05
52.35
Vax
46.79
49.54
52.31
54.08
55.48
56.64
57.29 j
57.95
58.15 I
57.77 j
55.44 I
53.93
52.45 |
JABC243.WK4
C2-138.
10/12/98
-------
Table C2-44. SPH-5 Computations: 90fps
Probe: Spherical SPH-S / N1ST 30-60 Calibration
Velocity Point: 90 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole;
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, fttsec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard
Deviation:
29.61
0.00
29.61
28.84
28.73
NA
0
82.00
0.3
16.3
16,3
9.05
Probe ID: SPH-5
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.53%
Avg Temp: 88 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
L
0
Readings, in.H2O
Pitch
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
Angle
-0.4
-0.3
0.2
-0.7
-0.5
-0.5
-0.3
-0.3
-0.3
-0.3
0.0
0.4
0.3
-0.7
-0.1
-0.3
-0.4
-0.3
-0.4
-0.4
-0.3
-0.1
-0.1
0.0
0.0
-0.4
-0.7
-0.4
-0.2
-0.8
-0.7
-0.7
-0.3
-0.4
-0.4
-0.2
-0.2
-0.3
0.1
_
P4-P5
-2.900
-2.750
-2.450
-2.000
-1.350
-0.650
-0.070
0.750
1.400
1.850
2.400
2.850
3.100
-2.950
-2.850
-2.450
-2.100
-1.400
-1.100
-0.070
0.800
1.400
2.050
2.500
2.800
3.100
-2.900
-2.800
-2.400
-1.900
-1.300
-0.650
-0.070
0.700
1.450
1.900
2.400
2.850
3.100
.
P1-P2
1.170
1.350
1.480
1.580
1.660
1.700
1.710
1.750
1.750
1.700
1,630
1.550
1.420
1.350
1.330
1.500
1.570
1.660
1.700
1.700
1.740
1.720
1.720
1.630
1.550
1.360
1.170
1.350
1.500
1.600
1.670
1.700
1.740
1.740
1.750
1.720
1.650
1.530
1.370
Gas
Temp, F
87
87
87
87
86
86
85
85
84
84
83
82
82
86
87
88
88
89
89
90
91
91
91
92
92
92
98
98
98
97
97
97
97-
96
96
96
96
95
95
Average
ซ ANGLES ป
Pitch
-30.0
-23,7
-19.1
-14.6
-8.8
-3.2
1.2
7.4
11.9
15.5
20.3
25.3
29.9
-25.7
-25.0
-18.8
-15.5
-9.2
-6.6
1.2
7.8
12.1
16.8
21.2
24.9
30,0
-30.0
-24.1
-18.4
-13.6
-8.4
-3.2
1.2
7.1
12.3
15.7
20,1
25.6
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Resultant
30.0
23.7
19.1
14.7
8,8
3.2
1.2
7.4
11.9
15.5
20.3
25.3
29.9
25.7
25.0
18.8
15.5
9.2
6.6
1.3
7.8
12.1
16.8
21.2
24.9
30.0
30.0
24.1
18.4
13.7
8.4
3.3
1.2
7.1
12.3
15.7
20.1
25.6
30.0
Res
28.56
24.24
18.78
14.61
8.83
4.39
1.24
7.43
12.09
15.98
20.52
25.28
29.97
1
Pt-Ps
.4954
1.4137
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
.4478
.4775
.4978
.5399
.5747
.6503
.7065
.7140
.7123
.7550
.7596
.4813
.4208
.4637
.4797
.4984
.5306
.5655
.6444
.6800
.7525
.7340
.7407
.6879
.0941
.4237
1.4580
1
1
.4853
.5061
1.5399
1
1
1
1
1
1
1
'f! f
jjf:
:ii&
.6024
.6379
.7123
.7371
.7269
.7438
.7003
-~"\j.ifP"B|
?"*Sliiil';J
II
2a?
fet
ipi
=ง&>';
XjcOia.
'-~~^งlsJP?:-V'.;' '*
iiaSf^i/" " " *
plifipB;!
?f?ivl^':- ;
pBBSSfi
Velocities, ft/sec
Flow Dir
83.83
81.51
82.49
83.33
83.82
84.99
85.87
87.91
89.31
89.51
89.38
90.40
90.52
83,36
81.72
83.02
83.47
84.07
84.97
86.01
88.23
89.18
91.09
90.69
90.86
89.47
72.43
82.62
83.61
84.31
84.90
85.84
87.57
88.46
90.44
91.09
90.83
91.19
90.04
Vdir
79.87
81.95
83.04
83.70
84.26
85.27
86.48
88.20
89.64
90.56
90.30
90.82
90.01
Axial
72.60
74.66
77.96
80.62
82,83
84.86
85.85
87,17
87.39
86.26
83.81
81.72
78.46
75.12
74.09
78.57
80.43
82.98
84.40
85.99
87.42
87.21
87.21
84.57
82.43
77.48
62.72
75.41
79.31
81.92
83.99
85.70
87.55
87.78
88.38
87.71
85.30
82.21
77.98
Vax
70.15 I
74.72
78.62
80.99
83.26 |
84.99
86.46
87.46
87.66
87.06
84.56
82.12
77.97
.TABC244.WK4
C2-139
10/12/98
-------
This Page Intentionally Left Blank
C2-140
-------
ATTACHMENT O.
Spherical Probe SPH-6 Calibration Data
C2-141-
-------
3
2
1
SI o
-1
-2
,
Figure C2-42. Spherical Probe (SPH-6): Avg. (30-60 fps) Fl vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
j ; ; i ; f i , . ' ' '_
i
! . 'I
: , i _..:._._ _. .; _ I
; I ; \ -.
I ' i
i ^ ;
i '. i : ; ! i Pi^^^
! i . ; ' ; Jf^
! ' ; ! M T ! ! ' i 1 m^ \ \ :
i ! . : i i ; : j,..^^"' ! : ; ,
: . ! i : j . ' \JiT'*^mm : ' ! ! = '
;-- -r -: - : -;
1 ' ' '^-JB>" : : ; : : :
i ^-^O^Ni^ - \ '
\ jm-'^'^ ' i
! _^- -fflK" ! : ' i i
: JB-^"^'^ : : : : ! :
; : ^9^*^ " ! ; : ' ' ' '
m^^-^ ' '
I i^^-^^^ '
_ ^^^^-^^< - ! ;-- -
I.I I i
-30 -25 -20 -1
'''''
5 -10 -50 5 10 15 20 25 30
Pitch Angle (degrees)
m NCSU Post-Test + NIST 1
^^^^1
[Note: Each point represents the mean of three replicates. j
FC242-44.WK4
-------
Figure C2-43. Spherical Probe (SPH-6): Avg. (30-60 fps) F2 vs. Pitch Angle
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
1.25
1.20
1.15 -
1.10
1.05
1.00 h
0.95
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
NCSU Post-Test NIST
15 20 25 30
Note: Each point represents the mean of three replicates7|[
FC242-44.WK4
-------
Figure C2-44. Spherical Probe (SPH-6): Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
LJL
0)
o
c
-------
Table C2-45. Spherical Probe SPH-6: NiST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
28.23
21.04
16.97
13.92
10.57
4.08
1.83
3,50
7.68
14.69
20.46
25.22
29.64
Directional
Velocity
(fps)
29.42
30.05
30.35
30.91
31.30
31.28
31.44
31.71
31.94
32.64
32.66
32.54
32.13
Axial
Velocity
(fps)
25.89
28.04
29.03
29.99
30.74
31.17
31.42
31.62
31.58
31.56
30.60
29.44
27.92
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.61
24.96
20.22
16.55
13.15
6.25
2.53
2.91
7.27
14.08
19.95
24.85
29.67
Directional
Velocity
(fps)
31.04
32.49
32.51
33.11
33.50
33.17
32.97
33.03
32.96
33.07
32.85
32.98
32.38
Axial
Velocity
(fps)
26.99
29.45
30.51
31.73
32.60
32.93
32.94
32.95
32.63
32.06
30.88
29.93
28.13
% Change
Resultant
Angle
4.89
18.61
19.14
18.91
24.40
53.09
38.11
-16.71
-5.37
-4.10
-2.48
-1.47 .
0.10
Directional
Velocity
5.52
8.12
Axial
Velocity
4.23
5.02
7.12 i 5.10
7.11 I 5.77
7.03 6.04
6.05 I 5.63
4.87
4.17
3.19
1.31
0.56
1.35
0.77
4,82
4.21
3.30
1.59
0.89
1.66
0.75
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NiST / 30-60 Calibration
Resultant
Angle
(degrees)
26.98
21.03
16.40
12.08
6.53
2.52
2.04
5.12
11.92
16.57
21.99
26.71
30.01
Directional
Velocity
(fps)
55.12
56.11
57.32
57.19
58.14
58.89
59.13
59.79
60.63
61.13
61.27
60.76
Axial
Velocity
(fps)
49.12
52.37
54.99
55.92
57.76
58.82
i_ 59.09
59.53
59.33
58.59
56.81
54.28
59.86 I 51.83
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.05
24.98
19.54
14.49
9.40
4.23
2.05
4.71
11.57
15.83
21.53
26.53
30.01
Directional
Velocity
(fps)
58.77
60.61
61.37
61.24
62.05
62.11
61.89
62.09
61.97
61.60
61.73
61.49
60.26
Axial
Velocity
(fps)
50.87
54.94
57.84
59.29
61.21
61.93
61.84
61.85
60.71
59.26
57.42
55.01
52.19
% Change
Resultant
Angle
11.37
18.80
19.11
.19.96
44.02
67.37
0.45
-7.94
-2.91
-4.50
-2.10
-0.68
0.00
Directional
Velocity
6.63
8.03
7.06
7.09
6.73
5.48
4.66
3.84
2.20
0.78
0.76
1.19
0.68
Axial
Velocity
3.57
4.91
5.18
6.03
5,98
5.28
4.65
3.90
2.33
1.16
1.08
1.35
0.68
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NiST / 30-60 Calibration
Resultant
Angle
(degrees)
27.30
21.38
16.72
12.63
7.68
2.93
0.82
6.56
11.80
16.02
20.74
25.65
29.51
Directional
Velocity
(fps)
82.06
84.23
Axial
Velocity
(fps)
72.93
78.43
85.08 | 81.48
85.73
86.63
87.86
88.77
89.40
90.16
91.11
90.26
89.89
88.19
83.66
85.85
87.72
88.76
88.81
88.25
87.58
84.40
81.03
76.75
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps)
29.99 J 87.34
25.33
19.92
15.03
10.51
4.76
0.38
6.27
11.47
15.24
20.24
25.34
29.66
91.04
91.11
91.76
92.65
92.82
92.91
92.59
92.18
91.85
90.80
91.05
88.97
Axial
Velocity
(fps)
75.65
82.28
85.66
88.62
91.08
92.45
92.91
92.02
90.34
88.62
85.19
82.28
77.32
% Change
Resultant
Angle
9.87
18.48
19.12
18.95
36.91
62.48
-53.44
-4.32
-2.82
-4.82
-2.41
-1.22
0.48
Directional
Velocity
6.43
8.09
7.09
7.03
6.94
5.64
4.67
3.56
2.25
0.81
0.60
1.29
0.88
Axial
Velocity
3.73
4.92
5.12
5.94
6.10
5.39
4.68
3.62
2.37
1.19
0.93
1.55
0.74
TABC245.WK4
C2-145
-------
o
N)
Figure C2-45. Spherical Probe SPH-6: Percent Differences in NCSU Post-Test and NIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
8
7
i e
55
J. 5
OT -3
to 4
P 3
c^ o
o
D 1
I-. 1
to
S o
-1
-2
1_
-30 -25 -20 -15
L_
-10 -5 0 5 10
Pitch Angle (degrees)
15
20
25
30
-- 30 fps
-O- 60 fps
-A- 90 fps
TABC245.WK4
-------
Table C2-46, SPH-6 Computations: 30 fps
Probe: Spherical SPH-S / N1ST 30-ซ0 Calibration
Velocity Point: 30 fps Cal Date:
Number Of Points:
39
. 03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt, Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.64
0.00
29.64
28.84
28.73
NA
0
29.93
0.8
15.2
15.2
9.34
Probe ID: SPH-6
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.63%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
Readings, in.H2O
Pifrh
r uiji i
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
I dw
Angle
1.9
2.0
0.7
0.7
0.4
0.4
0.3
0.3
0.3
0.3
0.3
0.3
0.4
2.3
2.4
1.1
1.1
1.1
0.4
0.4
0.4
0.4
0.5
-0.7
-0.7
-0.6
1.6
1.7
1.7
1.7
0.8
-0.1
-0.1
-0.3
0.2
0.2
0.3
-0.7
-0.5
P4-P5
-0.360
-0.330
-0.300
-0.250
-0.180
-0.070
-0.010
0.070
0.170
0.240
0.300
0.350
0.400
-0.390
-0.350
-0.310
-0.290
-0.270
-0.160
-0.080
-0.030
0.030
0.190
0.300
0.360
0.400
-0.380
-0.350
-0.310
-0.290
-0.250
-0.150
-0.080
-0.030
0.030
0.180
0.290
0.360
0.400
P1-P2
0.174
0.190
0.205
0.215
0.224
0.226
0.226
0.226
0.223
0.220
0.210
0.195
0.172
0.166
0.190
0.205
0.215
0.228
0.230
0.230
0.231
0.230
0.229
0.213
0.200
0.185
0.166
0.190
0.200
0.221
0.229
0.230
0.228
0.230
0.230
0.227
0.220
0.200
0.175
Gas
Temp, F
88
88
88
88
88
88
88
88
88
88
88
88
88
96
96
95
95
95
94
94
94
93
93
93
93
92
92
92
92
92
91
91
91
91
91
91
91
91
91
Average
ซ AN
SKI PS ->->
Pitch Resultant
-24.8
-19.9
-16.3
-12.4
-7.5
-0.8
2.7
7.3
13.0
16.9
21.0
25.2
30.0
-30.0
-21.5
-17.0
-14.8
-12.7
-6.0
-1.3
1.6
5.0
13.8
20.7
25.2
28.9
-29.7
-21.5
-17.5
-14.4
-11.5
-5.3
-1.4
1.5
5.0
13.3
19.7
25.2
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
24.9
20.0
16.4
12.4
7.5
0.9
2.7
7.3
13.0
16.9
21.0
25.2
30.0
30.1
21.6
17.0
14.9
12.7
6.0
1.4
1.6
5.0
13.8
20.7
25.2
28.9
29.7
21.5
17.6
14.5
11.5
5.3
1.4
1.6
5.0
13.3
19.7
25.2
30.0
Res
28.23
21.04
16.97
-13.92
10.57
4.08
1.83
3.50
7.68
14.69
20.46
25.22
29.64
Pt-PS
0.1855
0
0
0
0
0
.1875
.1949
.1977
.2019
.2068
0.2089
0.2130
0
0
.2197
.2245
0.2227
0.2202
0
.2135
0.2122
0
0
.1922
.1963
0.2013
0.2101
0.2070
0.2100
0.2129
0.2139
0.2274
0.2251
0.2260
0.2249
0
.1527
0.1922
0
.1925
0.2062
0.2091
0.2068
0.2081
0
0
0
0
.2120
.2139
.2244
.2294
0.2260
0.2172
i--
pi"
It
', ..
v\.
|p*
P-
*-
"
;,*
**-*-"* ' ,-'!'
* -?'%J "
ป"-' ;";ซ
-tiJvV v
*'*ฃ* * .
v~'. . *
?-**' "'
-_ /
ir"7 '"' -
ซ-**ซ?
Velocitic
ao ft/coA
Flow Dir Axial
29.54
29.70
30.28
30.50
30.81
31.18
31.35
31.65
32.14
32.49
32.37
32.18
31.69
31.82
30.28
30.58
30.97
31.64
31.37
31.60
31.82
31.87
32.85
32.69
32.76
32.64
26.89
30.17
30.20
31.26
31.45
31.28
31.37
31.66
31.81
32.58
32.94
32.70
32.05
Vdir
29.42
30.05
30.35
30.91
31.30
31.28
31.44
31.71
31.94
32.64
32.66
32.54
32.13
26.80
27.90
29.06
29.78
30.55
31.18
31.31
31.40
31.33
31.08
30.22
29.12
27.44
27.53
28.16
29.24
29.93
30.86
31.20
31.59
31.81
31.74
31.90
30.57
29.63
28.57
23.35
28.07
28.79
30.27
30.82
31.14
31.36
31.65
31.69
31.70
31.01
29.58
27.75
Vax
25.89 |
28.04
29.03
29.99
30.74
31.17
31.42
31.62
31.58
31.56
30.60
29.44
27.92
C2-147
-------
Table C2-47. SPH-6 Computations: 60 fps
Probe: Spherical SPH-6 / MIST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H20:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, lb/lb-mo!e:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Row Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard
Deviation:
29.64
0.00
29.64
28.84
28.73
NA
0
56.03
0.6
15.4
15.4
9.36
Probe ID: SPH-6
Pilot Cp: 1.00
C02, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.64%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
1
l_
>,
Pitch Resultant
-26.9
-20.7
-16.9
-12.7
-6.9
-4.0
-1.5
3.0
12.0
16.3
21.4
26.7
30.0
-26.9
-21.1
-16.0
-11.7
-6.9
-1.6
2.3
6.5
12.1
16.9
21.6
26.4
30.0
-26.9
-21.1
-16.2
-11.8
-5.8
-2.0
2.3
5.9
11.6
16.5
22.9
27.1
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
27.0
20.7
17.0
12.7
6.9
4.0
1.5
3.0
12.0
16.3
21.4
26.7
30.0
27.0
21.2
16.0
11.7
6.9
1.6
2.3
6.5
12.1
16.9
21.6
26.4
30.0
27.0
21.2
16.2
11.8
5.9
2.0
2.3
5.9
11.6
16.5
22.9
27.1 .
30.0
Res
26.98
21.03
16.40
12.08
6.53
2.52
2.04
5.12
11.92
16.57
21.99
26.71
30.01
Pt-Ps .
0.6897
0.6694
0
0
0
6983
6914
7115
0.7223
0.7298
0.7494
0.7811
0.7817
0.8008
0.7794
0.7571
0.6897
0.6637
0.6918
0.6860
0.7115
0.7386
0.7481
0.7599
0.7721
0.7957
0.7928
0.7865
0.7571
0.5531
0.6637
0.6931
0.6959
0.7198
0.7376
0.7388
0.7572
0.7776
0.7928
0.7860
0.7747
0.7571
o^f
*l
^
'"/
i _*
1 '
'?t;~
X ~,
IfV1^
S,y
pi
"..ปซ . * *
3ฃ?$' ."'
,,,,_, .^
~'~ **
<ซ '
*"*'/"*
-'ฃ$'"
.- f " '
,;""*"*/ *
:tr*tj*ซ' '{
"*'.*^r f
'~2$r ซ
",7^-Tl"-'' '.
1:"
>
Vsiocitifi
Flow Dir
56.96
56.11
57.37
57.08
57.90
58.34
58.64
59.42
60.67
60.69
61.48
60.66
59.78
57.22
56.13
57.30
57.06
58.11
59.21
59.59
60.06
60.54
61.46
61.34
61.10
59.95
51.19
56.08
57.31
57.42
58.40
59.12
59.16
59.90
60.70
61.23
60.97
60.53
59.84
Vdir
55.12
56.11
57.32
57.19
58.14
58.89
59.13
59.79
60.63
61.13
61.27
60.76
59.86
s ft/sec
Axial
50.75
52.47
54.87
55.68
57.49
58.20
58.62
59.34
59.33
58.25
57.24
54.21
51.77
50.99
52.34
55.08
55.88
57.69
59.18
59.54
59.67
59.18
58.79
57.02
54.74
51.91
45.61
52.29
55.03
56.20
58.09
59.08
59.12
59.58
59.46
58.72
56.16
53.88
51.82
Vax
49.12 !
52.37
54.99
55.92
57.76
58.82
59.09
59,53
59.33
58.59
56.81
54.28 ;
51.83 |
3- A m/*ป"* ,1 "7 \M\SA
C2-148
10/15/98
-------
Table C2-48, SPH-6 Computations: 90fps
Probe: Spherical SPH-6 / NIST 30-60 Calibration
Velocity Point: 90 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pifph Y*VLA/ fnT*
Rep Angle Angle P4-P5 P1-P2 Temp, f
29.64
0.00
29.64
28.84
28.73
NA
0
83.51
0.7
15.3
15.4
9.08
ซ ANGLES ป
Pitch Resultant
Probe ID:
Pitot Cp:
CO2, %d:
02, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-6
1.00
0.00
20.9
1
4.63%
89 F
61
Volumetric Air Flow Rate,
SCFM Wet:
Pt-Ps
01
\/alA("ปif roc ft/cdr*
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.3
1.5
1.1
1.1
0.2
0.1
0.1
-0.2
-0.2
-0.3
-0.3
-0.7
-0.6
2.4
1.8
1.1
0.9
0.4
-0.2
0.0
-0.3
-0.2
-0.6
-0.6
-0.9
-1.0
2".3
2.0
1.3
0.7
0.4
0.0
0.0
'-0.3
-0.4
-0.5
-0.3
-0.9
-0.9
-2.850
-2.700
-2.300
-2.000
-1.300
-0.700
-0.300
0.300
1.100
1.800
2.300
2.800
3.000
-2.900
-2.750
-2.450
-1.950
-1.550
-1.100
-0.400
0.450
1.140
1.780
2.200
2.700
2,950
-2.900
-2.700
-2.400
-2.000
-1.450
-0.730
-0.300
o.soo
1.300
1.700
2.400
2.800
3.000
1.330
1.490
1.600
1.680
1.770
1.800
1.820
1.800
1.780
1.750
1.650
1.500
1.350
1.320
1.470
1.600
1.700
1.750
1.800
1.800
1.800
1.770
1.730
1.650
1.530
1.350
1.320
1.490
1.600
1.670
1.750
1.790
1.800
1.800
1.750
1.730
1.600
- 1.480
1.330
99
99
99
99
98
98
98
97
94
93
93
92
91
94
95
95
96
97
97
98
98
99
99
99
100
100
84
83
83
82
82
81
81
79
78
78
77
76
75
-26.4
-21.0
-16.0
-12.8
-6.5
-1.9
1.1
5.5
11.2
16.2
20.6
25.9
29.5
-27.6
-21.9
-17.2
-12.2
-8.7
-4.8
0.3
6.6
11.5
16.2
19.9
24.9
29.1
-27.6
-21.0
-16.8
-12.9
-7.8
-2.1
1.1
7.6
12.7
15.6
21.8
26.2
29.9
26.5
21.1
16.0
12.8
6.5
1.9
1.1
5.5
11.2
16.2
20.6
25.9
29.5
27.7
22.0
17.3
12.2
8.7
4.8
0.3
6.6
11.5
16.2
19.9
24.9
29.2
27.7
21.1
16.9
12.9
7.9
2.1
1.1
7.6
- 12.7
15.6
21.8
26.2
29.9
1.4987
1.4962
1.5161
1.5493
1.5935
1.6396
1.6756
1.6788
1.7235
1.7747
1.7396
1.7190
1.6603
1.5554
1.4968
1.5357
1.5611
1.5787
1.6196
1.6538
1.6892
1.7192
1.7545
1.7228
1.7175
1.6485
1.2173
1.4962
1.5292
1.5411
1.5775
1.6288
1.6570
1.6995
1.7198
1.7466
1.7181
1.7048
1.6462
84.80
84.73
85.29
86.22
87.36
88.62
89.58
89.59
90.53
91.78
90.87
90.25
88.61
86.00
84.44
85.53
86.31
86.88
88.00
89.00
89.95
90.82
91.75
90.92
90.86
89.01
75.39
83.51
84.42
84.67
85.67
86.97
87.72
88.67
89.12
89.81
88.99
88.56
86.94
75.91
79.06
81.97
84.07
86.80
88.57
89.57
89.18
88.81
88.14
85.08
81.17
77.11
76.14
78.32
81.68
84.36
85.89
87.69
89.00
89.36
89.00
88.11
85.51
82.44
77.74
66.75
77.90
80.79
82.55
84.86
86.91
87.70
87.89
86.93
86.48
82.63
79.48
75.40
Res
Vdir
Average
Vax
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
27.30
21.38
16.72
12.63
7.68
2.93
0.82
6.56
11.80
16.02
20.74
25.65
29.51
i.y \fฃf '< 82.06
ij"1 *Jil " . 84.23
>*,/ , | 85.08
4 ;; ''. li 85.73
XCrSi-.l 86.63
i-J^rf | 87.86
'ji^X'/,! 88.77
^f^'f "."t 89.40
'~~-z^--' I 90.16
*, '^'ป: ; am
v'X^*-- ' 90.26
. '''- ' 89.89
li --"' * 88.19
72.93
78.43 |
81.48 ;
83.66
85.85
87.72
88.76
88.81
88.25
87.58
84.40
81.03
76.75
C2-149
-------
This Page Intentionally Left Blank
C2-150
-------
ATTACHMENT P.
Spherical Probe SPH-7 Calibration Data
C2-151
-------
Figure C2-46. Spherical Probe (SPH-7): Avg. (30-60 fps) Fl vs. Pitch Angle)
NCSU Post-Test and NIST Wind Tunnel Calibrations
-1
_2 i-
-3 iL-
-30
-25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
NCSU Post-Test * NIST
Note: Each point represents the mean of threeTeplicatesTjj
15 20 25 30
FC246-48.WK4
-------
Figure C2-47, Spherical Probe (SPH-7): 1^7(30^60^^
NCSU Post-Test and NIST Wind Tunnel Calibrations I
CM
U_
1.25
1.20 r
1.15
1.10
1.05
1.00 -
0.95 l
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test NIST
Note: Each point represents the mean of three replicates. |
FC246-48.WK4
-------
Figure C2-48. Spherical Probe (SPH-7): Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
CM
u_
(0
o
2.0
1.0
0.0
-1.0
1 -2-0
b
-3.0 -
-4.0
-5.0
-30 -25 -20 -15
-10 -505
Pitch Angle (degrees)
10 15 20 25
[Note: Each point represents the mean of three replicates^
30
FC246-48.WK4
-------
Table C2-49. Spherical Probe SPH-7: MIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / MIST / 30-60 Calibration
Resultant
Angle
(degrees)
Directional
Velocity
(fps}
30,04 I 30.25
25.92
21.28
18.32
13.03
6.63
1.80
2.53
6.07
16.03
21.84
26.48
30.02
31.50
31.06
31.37
30.86
30.47
30.58
30.89
31.00
31.52
31.41
31.26
30.91
Axial
Velocity
(fps)
26.19
28.30
28.94
29.76
30.05
30.23
30.55
30.82
30.74
30.29
29.15
27.98
26.77
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.34
24.02
Directional
Velocity
(fps)
30.84
32.21
19.90 ! 32.46
17.22
11.66
4.80
1.20
3.95
7.68
16.12
21.40
25.92
30.02
32.99
32.76
32.5J |
32.49
32.62
32.46
32.26
32.06
31.99
31.62
Axial
Velocity
(fps)
26.97
29,40
30.52
31.50
32.06
32.35
32.48
32.48
32.11
30.98
29.85
28.77
27.38
% Change
Resultant
Angle
-2.34
-7.35
-6.49
-6.03
-10.53
-27.66
-33.31
56.25 .
26.48
0.56
-2.02
-2.14
0.00
Directional
Velocity
2.28
2.24
4.50
5.18
6.14
6.67
6.26
Axial
Velocity
I 3.01
3.89
5.45
5.85
6.68
7.02
6.31
5.58 i 5.41
4.74
2.33
2.07
2.34
2.29
4.46
2.29
2.38
2.84
2.29
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NiST / 30-60 Calibration
Resultant
Angle
(degrees)
30.05
27.46
20.96
14.63
9.26
4.92
0.90
6.95
11.15
17.52
22.86
26.73
30.06
Directional
Velocity
(fps)
57.11
60.56
58.24
57.16
57.54
57.80
58.30
58.81
58.69
59.67
59.19
59.24
57.41
Axial
Velocity
(fps)
, 49.43
53.73
54.38
55.30
56.78
57.58
58.29
58.38
57.54
56.90
54.54
52.91
49.69
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.44
25.32
19.60
13.58
7.38
3.18
1.57
8.73
12.24
17.48
22.32
26.20
30.06
Directional
Velocity
(fps)
i_ 58.49
61.26
60.89
60.47
61.39
61.69
61.78
61.66
60.86
60.99
L 60.48
60.62
58.73
Axial
Velocity
(fps)
50.95
55.37
57.36
58.77
60.87
61.59
61.75
60.94
59.46
58.18
55.95
54.39
50.83
% Change
Resultant
Angle
-2.05
-7.77
-6.50
--7.22
-20.35
-35.28
75.58
25.73
9.79
-0.24
-2.38
-2.01
0.00
Directional
Velocity
2.43
Axial
Velocity
3.07
1.16 ! 3.05
4.56 i 5.48
5.79
6.69
6.73
6.27
7.20
6.97
5.97 ! 5.93
4.84
3.71
2.22
4.39
3.33
2.24
2.17 ! 2.58
2.33
2.29
2.81
2.29
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
30.08
27.79
21.87
16.75
10.14
5.03
1.48
6.52
Directional
Velocity
(fps)
Axial
Velocity
(fps)
85.41 i 73.91
91.24
87.50
80.70
81.19
86,89 83.20
86.64 85.28
86.96
87.80
86.59
87.75
88.57 ! 88.00
12.55 ] 88.74
16.99 I 89.36
22.57
25.94
86.62
85.45
88.75 j 81.95
88.36 79.46
30.06 i 85.37
73.89
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.08
25.57
20.45
15.82
8.28
3,27
2.15
8.30
13.31
16.99
Directional
Velocity
(fps)
88.01
92.01
91.36
91.57
92.43
92.77
93.12
92.94
91.65
91.37
22.06 j 90.65
25.28 I 90.43
30.06
87.33
Axial
Velocity
(fps)
76.16
82.99
85.60
88.10
91.46
92.58
93.06
91.96
89.19
87.38
84.01
81.77
75.58
% Change
Resultant
Angle
0.00
-7.98
-6.51
-5.51
-18.40
Directional
Velocity
3.04
0.85
4.41
5.39
8.69
-35.08 6.68
44.93
27.38
6.03
6.07
4.93
3.28
0.03 I 2.26
-2.27
-2.56
2.14
2.34
0.00 ! 2.29
Axial
Velocity
3.04
2.84
5.42
5.89
7.25
6.92
6.05
4.51
2.97
2.26
2.52
2.91
2.29
TABC249.WK4
C2-155
-------
O
to
Figure C2-49. Spherical Probe SPH-7: Percent Differences in NCSU Post-Test and NIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
a,
P
1/3
u
I)
o
I
8
7
6 -
4 -
2 h
1
te
3 o
-1
30 fps
60 fps
90 fpS
L __
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
Pitch Angle (degrees)
TABC249.WK4
-------
Table C2-50: SPH-7 Computations: 30fps
Probe: Spherical SPH-7 / NIST 30-60 Calibration
Velocity Point: 30 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average. Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.82
0.00
29.82
28.84
28.73
NA
0
29.21
0.6
16.9
16.9
10.08
Probe ID: SPH-7
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.49%
Avg Temp: 80 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wst:
I o]
Readings, in.H20
Pifrh
r IIL.II
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
I dw
Angle
0.8
0.9
1.1
1.0
1.0
-0.3
-0.3
-0.4
-0.3
-0.4
-0.4
-1.2
-1.2
2.4
2.4
0.3
0.0
-0.2
-0.2
-0.1
-0.1
-0,1
-0.1
-0.1
-0.2
-1.4
1.5
1.6
1.8
0.4
0.0
-0.1
-0.2
0.0
0.0
0.5
-0.2
-0.6
-0.5
P4-P5
-0.350
-0.300
-0.290
-0.240
-0.170
-0.060
-0.015
0.090
0.170
0.250
0.310
0.360
0.400
-0.400
-0.350
-0.300
-0.290
-0.220
-0.160
-0.050
-0.020
0.030
0.220
0.310
0.360
0.400
-0.380
-0.340
-0.300
-0.290
-0.220
-0.120
-0.060
-0.020
0.030
0.220
0.310
0.360
0.410
P1-P2
0.173
0.193
0.210
0.220
0.225
0.220
0.219
0.220
0.215
0.205
0.192
0.170
0.158
0.167
0.190
0.205
0.217
0.220
0.223
0.223
0.224
0.222
0.216
0.202
0.193
0.167
0.170
0.190
0.205
0.220
0.223
0.223
0.223
0.226
0.225
0.216
0.202
0.185
0.175
Gas
Temp, F
78
78
78
78
78
78
77
77
77
77
77
77
77
87
86
86
85
85
85
85
84
84
84
84
84
84
85
85
85
85
85
85
85
84
84
84
84
84
84
Average
ซ AN
trtl PQ -ปซป
Pitch Resultant
-30.0
-23.0
-20.4
-15.8
-10.6
-2.9
-0.0
7.0
12.1
17.7
22.5
27.9
30.0
-30.0
-27.8
-21.7
-19.7
-14.3
-10.0
-2.2
-0.3
3.1
15.2
21.5
25.4
30.0
-30.0
-26.8
-21.7
-19.4
-14.1
-7.0
-2.9
-0.3
3.0
15.2
21.5
26.2
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.0
23.1
20.4
15.8
10.6
2.9
0.3
7.0
12.1
17.7
22.5
27.9 '
30.0
30.1
27.8
21.7
19.7
14.3
10.0
2.2
0.3
3.1
15.2
21.5
25.4
30.0
30.0
26.9
21.7
19.4
14.1 .
7.0
2.9
0.3
3.0
15.2
21.5
26.2
30.0
Res
30.04
25.92
21.28
18.32
13.03
6.63
1.80
2.53
6.07
16.03
21.84
; 26.48
30.02
0.
0.
Pt-Ps
2211
2001
0.2088
0.2080
0.
0.
2041
1995
0.2010
0.2069
0.
2101
0.2104
0.2083
0.2026
0.
1961
0.2134
0.2250
0.2080
0.2137
0.2053
0.2014
0.2028
0.2054
0.2054
0.2173
0.2161
0
0
0
2188
2073
1607
0.2177
0.2080
0.2160
0
2077
0.2009
0.2023
0.2072
0.2082
0.2173
0.2161
0.2132
0.2172
^
r*."
* ^ป ~
r
it *
MSS-*^
*grฃ-
,ฃ**
*&
-.^j,
%&--.
^ ^ . ' *
fff.Jf; .>
J&'*'" *ป '
"Y ,,- ;
" !'' '
"* , *
' , r "ป(j
ST'"'"3
i^f,-,'*;
^"^""ซN*
"JsC?"'''"
_" *^ 3
~=.~-.ป"ซ
X/pIffr"Ifi
VdUWM
Flow Dir
31.86
30.31
30.96
30.90
30.61
30.26
30.35
30.79
31.02
31.05
30.89
30.47
29.97
31.56
32.37
31.13
31.52
30.89
30.60
30.71
30.87
30.88
31.76
31.67
31.87
31.02
27.33
31.81
31.10
31.69
31.08
30.56
30.67
31.01
31.08
31.76
31.67
31.45
31.75
Vdir
30.25
31.50
31.06
31.37
30.86
30.47
30.58
30.89
31.00
31.52
31.41
31.26
30.91
a_ ftfapp.
Axial
27.59
27.89
29.01
29.73
30.08
30.22
30.35
30.56
30.33
29.58
28.54
26.92
25.95
27.31
28.62
28.93
29.67
29.93
30.14
30.69
30.87
30.83
30.65
29.46
28.79
26.85
23.66
28.38
28.89
29.89
30.14
30.33
30.63
31.01
31.04
30.65
29.46
28.23
27.49
Vax
26.19
28.30
28.94
29.76
30.05
30.23
30.55
30.82
30.74
30.29
29.15
27.98
26.77
TABC250.WK4
C2-157
10/15/98
-------
Table C2-51. SPH-7 Computations: 60 fps
Probe; Spherical SPH-7 / NIST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
29.82
0.00
29.82
28.84
28.73
NA
0
55.03
0.9
17.2
17.2
9.77
Probe ID: SPH-7
Pilot Cp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 3.59%
Avg Temp: 81 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
| 61
Readings, in.H2O
Pitrh
r l\\jt i
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
i (aw
Angle
1.9
2.0
0.9
0.4
0.0
0.0
0.0
-0.3
-0.8
-0.9
-1.3
-1.4
-2.5
1.6
1.6
1.2
0.0
0.0
-0.1
-0.1
-0.6
-0.8
-0.9
-1.1
-1.1
-1.5
2.1
1.3
1.1
0.4
-0.2
-0.3
-0.2
-0.2
-0.7
-0.8
-1.0
-1.0
-1.8
P4-P5
-1.250
-1.200
-1.000
-0.800
-0.600
-0.400
-0.150
0.300
0.400
0.860
1.100
1.300
1.450
-1.330
-1.250
-1.050
-0.700
-0.500
-0.300
-0.020
0.350
0.650
0.900
1.160
1,300
"1.400
-1.330
-1.250
-1.050
-0.800
-0.500
-0.280
-0.040
0.320
0.600
0.950
1.160
1.300
1.400
P1-P2
0.600
0.670
0.730
0.750
0.780
0.800
0.800
0.780
0.760
0.750
0.700
0.650
0.570
0.620
0.680
0.730
0.760
0.790
0.800
0.800
0.800
0.770
0.750
0.680
0.650
0.580
0.600
0.680
0.730
0.750
0.800
0.800
0.800
0.800
0,770
0,750
0.700
0.650
0.570
Gas
Temp, F
77
77
77
78
78
78
79
79
79
79
80
80
80
86
86
86
86
86
85
85
85
85
85
85
85
84
86
86
86
86
86
86
86
86
85
85
85
85
85
Average
ซ AN.
ซl C<5 *ป
Pitch Resultant
-30.0
-26.9
-20.2
-15,4
-10.8
-6.4
-1.7
6.6
8.5
16.8
22.0
26.7
30.0
-30.0
-27.7
-21.3
-13.1
-8,6
-4.4
0.6
7.3
12.8
17.4
23.6
26.7
30.0
-30.0
-27.7
-21.3
-15.4
-8.4
-4.0
0.3
6.8
12.0
18.3
23.0
26.7
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30.1
26.9
20.3
15,4
10.8
6.4
1.7
6.6
8.6
16.8
22.0
26.7
30.1
30.0
27.7
21.3
13.1
8.6
4.4
0.7
7.4
12.9
17.5
23.6
26.7
30.0
30.1
27.7
21.3
15.4
8.4
4.0
0.3
6.8
12.0
18.3
23.0
26.7
30.0
Res
30.05
27.46
20.96
14.63
9.26
4.92
0.90
6.95
11.15
17.52
22.86
26.73
30.06
Pt-Ps
0.7669
0.7684
0.7239
0.7060
0.7087
0.7201
0.7292
0.7323
0.7214
0.7642
0.7536
0.7570
0.7074
0.7924
0.8033
0.7362
0.7027
0.7126
0.7211
0.7357
0.7542
0.7577
0.7683
0.7493
0.7570
0.7198
0.5648
0.8033
0.7362
0.7060
0
0
0
.7215
.7222
.7349
0.7520
0
.7513
0.7734
0.7649
0.7570
0.7074
C-~
13
: *'
*
*,v>
f^r
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tfWp'*J
-~lrt ' , \
-*-," -
j,~~~ :
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w-,^i_' **
""?'"*ป?*: 'i
j-f i|f-: -
ฃ"
~-j$ .,
Q ''
X/plcwitiP
V C3i/vlUG
Flow Dir
59,27
59.33
57.59
56.93
57.03
57.49
57.91
58.03
57.60
59.28
58.92
59.06
57.09
60.76
61.17
58.56
57.21
57.61
57.90
58.49
59.22
59.36
59.77
59.03
59.33
57.80
51.29
61.17
58.56
57.35
57.97
58.00
58.51
59.18
59.10
59.97
59.64
59.33
57.35
Vdir
57.11
60.56
58.24
57.16
57.54
57.80
58.30
58.81
58.69
59,67
59.19
59,24
57.41
_ a/caf*
Axial
51.30
52.90
54.02
54.89
56.03
57.14
57.88
57.64
56.95
56.75
54.63
52.74
49.39
52.60
54.15
54.55
55.72
56.97
57,73
58.48
58.73
57.86
57.01
54.10
52.99
50.04
44.39
54.15
54.56
55.29
57.35
57.86
58.51
58.76
57.81
56.94
54.90
52.99
49,64
Vax
49.43
53.73
54.38
55.30
56.78
57.58
58.29
58.38
57.54
56.90
54.54
52.91
49.69
TARC951.WK4
C2-158
10/15/98
-------
Table C2-52. SPH-7 Computations: 90 fps
Probe: Spherical SPH-7 / NIST 30-60 Calibration
Velocity Point: 90 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
O!*nti V*Mif f^fae-
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.82
0.00
29.82
28.84
28.73
NA
0
82.61
0.9
17.5
17.5
9.56
ซ ^f\|
Pitch
Probe ID:
Pilot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-7
1.00
0.00
20.9
1
4.66%
89 F
61
Volumetric Air Flow Rate,
SCFM Wet:
c
C~*l ฃ-** i"^-
Resultant Pt-Ps
ZH3
\/cปlA/^itioc ft/cdr*
Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.3
2.0
0.9
0.2
0.0
-0.2
-0.2
-0.6
-0.7
-0.4
-1.4
-0.9
-2.1
2,2
1.3
1.0
0,4
-0.1
-0.1
0.0
-0.5
-0.8
-0.8
-1.1
-1.3
-2.2
2.2
1.5
1.2
0.0
-0.1
-0.1
-0.3
-0,3
-0.9
-0.8
-1.3
-1.1
-1.7
-2.950
-2.700
-2.250
-2.000
-1.300
-0.600
-0.070
0.700
1.400
2.000
2.550
2.800
3.100
-3.000
-2.800
-2.420
-1.950
-1.350
-1.000
-0.550
0.600
1.400
1.900
2.450
2.750
3.050
-2.950
-2.750
-2.400
-1.850
-1.200
-0.600
-0.060
0.700
1.400
1.900
2.500
2.800
3.050
1.330
1.500
1.600
1.660
1.750
1.770
1.770
1.770
1.700
1.660
1.530
1.430
1.250
1.320
1.480
1.600
1.680
1.760
1.770
1.800
1.780
1.700
1.660
1.550
1.480
1.250
1.330
1.500
1.590
1.700
1.770
1.800
1.800
1.780
1.720
1.670
1.550
1.440
1.250
89
89
89
88
88
87
87
86
85
85
84
83
82
89
89
90
90
91
91
92
93
93
93
94
94
95
98
98
98
97
97
97
97
96
96
96
95
95
95
-30.0
-27.0
-20.8
-17.6
-10.4
-3.9
0.4
6.8
12.6
17.5
23.1
26.3
30,0
-30,0
-28.6
-22.4
-16.9
-10.7
-7.4
-3.4
6.0
12.6
16.8
22.1
25.3
30.0
-30.0
-27.6
-22.4
-15.7
-9.3
-3.8
0.5
6.7
12.4
16.7
22.5
26.2
30.0
30.1
27.1
20.8
17.6
10.4
3.9
0.5
6.8
12.6
17.5
23.1
26.3
30.1
30.1
28.7
22.4
16.9
10.7
7.4
3.4
6.0
12.6
16.8
22.1
25.3
30.1
30.1
27.6
22.4
15.7
9.3
3.8
0.6
6.8
12.5
16.7
22.5
26.2
30,0
1,6999
1.7300
1.6009
1.5996
1.5852
1.5988
1.6267
1.6632
1.6684
1.7013
1.6746
1.6516
1.5514
1.6871
1.8064
1.6427
1.6069
1.5987
1.5949
1.6292
1.6649
1.6684
1.6911
1.6713
1.6753
1.5514
1.2816
1.7666
1.6312
1.6062
1.5978
1.6265
1.6547
1.6723
1.6859
1.7001
1.6808
1.6587
1.5514
89.23
90.02
86.59
86.48
86.09
86.38
87.13
88,02
88,08
88.94
88.16
87.47
84,70
88,89
91.98
87.79
86.83
86.69
86.59
87.59
88.63
88.72
89.32
88.88
88.99
85.71
78.11
91.71
88.12
87.37
87.14
87.92
88.67
89.06
89.43
89.80
89.21
88.62 -
85.71
77.21
80.15
80.94
82.43
84.68
86.18
87.13
87.40
85.96
84.82
81.07
78.41
73.30
76.93
80.72
81.16
83.08
85.17
85.86
87.44
88.14
86.58
85.52
82.35
80.43
74.17
67.60
81.24
81.48
84.09
85.99
87.72
88.67
88.45
87.32
86.02
82.43
79.53
74.19
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Res
30.08
27.79
21.87
16.75
10.14
5.03
1.48
6.52
12.55
16.99
22.57
25.94
30.06
Vdir
I :~>V"i;" 85'41
IJ^SSY;-"' 91.24
It'-*" " "' 87.50
-ti"'" , 86.89
*.ซฃf V, 86.64
fefexK 86-96
7* -""**, \ 87.80
prVSK ** 88-57
v./ซ"*' 88.74
&S*"' ;. . I 89.36
W'*"r''-' 88J5
'fฑS^: ~" 88.36
ซ "-'" , 85.37
Vax
73.91
80.70
81.19
83.20
85.28
86.59
87.75
88,00
86.62
85.45
81.95
79.46
73.89
C2-159'
10/15/98
-------
This Page Intentionally Left Blank
C2-160
-------
ATTACHMENT Q.
Spherical Probe SPH-8 Calibration Data
C2-161
-------
Figure C2-50. Spherical Probe (SPH-8): Avg. (30-60 fps) Fl vs. Pitch Angle)
NCSU Post-Test and NIST Wind Tunnel Calibrations
-25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test + NIST
Note: Each point represents the mean of three replicatesj
FC250-52.WK4
-------
Figure C2^5L Spherical Probe (SPH-8): Avg. (30-60 fps) F2 vs. Pitch Angle |
NCSU Post-Test and NIST Wind Tunnel Calibrations
1.30 r
CM
U_
1.25
1.20 -^
1.15 -
1.10 -
1.05 h-
1.00 -
0.95
-30 -25 -20 -15
-10 -5 0 5 10
Pitch Angle (degrees)
15 20 25 30
NCSU Post-Test + NIST
J
Note: Each point represents the mean of three replicates.
FC250-52.WK4
-------
Figure C2-52. Spherical Probe (SPH-8): Percent Difference in F2
NCSU Post-Test and NIST Wind Tunnel Calibrations
2.0
1.0
0.0
CM
U_
c
'
-------
Table C2-53. Spherical Probe SPH-8: MIST vs. Post-Test Calibrations at NC State Wind Tunnel
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
30 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
27.42
22.14
17.75
14.89
8.51
5,07
1.59
4.42
7.91
15.86
21.43
25.93
30.04
Directional
Velocity
{fps)
28.41
29.10
29.72
30.14
30.38
30.48
30.79
30.99
31.08
31.66
31.61
31.80
31.47
Axial
Velocity
(fps)
25.18
26.94
28.31
29.12
29.91
30.31
30.78
30.88
30.73
30.45
29.43
28.60
27.24
30 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
29.21
24.92
19.20
15.90
9.77
6.43
2.17
5.29
9.65
17.26
21.77
26.80
30.04
Directional
Velocity
(fps)
30.94
32.51
32.63
32.85
32.90
32.93
32.91
32.97
32.87
32.86
32.57
32.72
31.97
Axial
Velocity
(fps)
27.00
29.47
30.81
31.59
32.26
32.63
32.88
32.78
32.33
31.38
30.25
29.21
27.67
% Change
Resultant
Angle
6.53
12.57
8.18
6.77
14.85
26.92
36.87
19.66
21.96
8.87
1.58
3.36
0.00
Directional
Velocity
8,91
11.73
9.76
9.00
8.30
8.03
6.86
6.39
5.75
3.80
3.04
2.90
1.59
Axial
Velocity
7.24
,_ 9-38
8.83
8.48
7.86
7.65
6.84
6.16
5.20
3.06
2.80
2.13
1.59
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
60 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
28.69
23.59
18.58
13.25
6.64
2.75
2.08
6.49
12.75
17.01
21.82
26.33
30.05
Directional
Velocity
(fps)
53.51
55.63
55.65
55.73
56.37
57.09
57.52
57.94
58.75
59.32
59.31
59.44
58.53
Axial
Velocity
(fps)
46.95
50.98
52.75
54.24
55.99
57.01
57.47
57.54
L 57.29
56.73
55.06
53.27
50.66
60 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.11
26.51
20.32
14.40
8.53
3.76
2.36
8.40
15.09
18.06
22.20
27.26
30.05
Directional
Velocity
(fps)
58.21
62.42
61.30
60.63
61.16
61.31
61.38
61.49
61.41
61.46
61.09
61.16
59.46
Axial
Velocity
(fps)
50.35
55.86
57.49
58.73
60.48
61.15
61.33
60.78
59.29
58.43
56.55
54.36
51.47
% Change
Resultant
Angle
4.96
12.39
9.33
Directional
Velocity
8.78
12.22
10.15
.8.69 I 8.80
28.59
36.77
13.44
29.39
18.35
6.17
1.74
3.52
0.00
8.50
7.38
6.72
6.13
4.54
3.60
3.00
2.89
Axial
Velocity
7.25
9.58
8.98
8.27
8.02
7.27
6.71
5.62
3.49
3.00
2.72
2.05
1.59 i 1.59
Pitch
Angle
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
90 fps / NIST / 30-60 Calibration
Resultant
Angle
(degrees)
29.62
24.05
18.36
14.42
7.63
2.74
Directional
Velocity
(fps)
Axial
Velocity
(fps)
80.53 j 69.99
82.45
82.88
83.03
83.78
84.92
1.21 j 85.67
6.60 I 86.37
11.77
87.12
16.23 87.90
21.49
75.30
78.66
80.41
83.04
84.80
85.65
85.76
85.28
84.39
87.27 81.20
25.51 I 87.04
30.09 ' 86.66
78.55
74.98
90 fps / November / 30-60 Calibration
Resultant
Angle
(degrees)
30.10
Directional
Velocity
(fps)
86.07
26.98 I 92.70
20.03
15.20
9.83
3.72
1.03
8.48
14.28
17.52
21.83
26.32
30.09
91.20
_ 90.24
91.10
91.15
91.42
91.65
91.35
91.18
89.91
89.57
88.03
Axial
Velocity
(fps)
74.46
82.61
85.68
87.08
89.76
90.94
91.41
90.54
88.52
86.94
83.46
80.29
76.17
% Change
Resultant
Angle
1.62
12.21
Directional
Velocity
Axial
Velocity
6.88 i 6.39
12.43
9.07 ! 10.04
5.41
28.91
35.50
-14.25
28.43
21.26
7.93
1.60
3.18
0.00
8.69
8.74
7.34
6.71
6.11
4.85
3.73
3.03
2.92
1.59
9.71
8.93
8.30
8.10
7.24
6.72
5.58
3.80
3.02
2.79
2.21
1.59
TABC253.WK4
C2-165
-------
O
OS
Os
Figure C2-53. Spherical Probe SPH-8: Percent Differences in NCSU Post-Test and NIST Calibrations
Based on Computed Axial Velocities Using 30-60 fps Averaged Calibration Data
o
(X
D
00
U
I
o
c
I
s
30 fps
60 fps
90 fps
-30 -25 -20 -15
-10 -505
Pitch Angle (degrees)
10
15
20 25
30
TABC253.WK4
-------
Table C2-54. SPH-8 Computations: 30 fps
Probe: Spherical SPH-8 / NIST 30-60 Calibration
Velocity Point: 30 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle
Standard Deviation:
29.83
0.00
29.83
28.84
28.73
NA
0
29.07
0.9
15.6
15.6
9.51
Probe ID: SPH-8
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
% Satur.: 4.58%
Avg Temp: 89 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I
O1
Readings, in.H2O
Pitrh
r il\tt 1
Rep Angle
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Yaw
I dw
Angle
0.8
0.8
-0.3
-0.3
-0.3
-0.3
-0.2
-0.2
-1.3
-1.4
-1.7
-1.7
-1.7
2.1
2.2
1.2
1.2
-0.1
0.3
0.3
0.4
0.0
0.1
0.1
-1.1
-0.9
2.8
2.8
1.5
1.5
0.8
0.7
0.2
0.3
-0.2
-0.2
-0.4
-0.6
-1.9
P4-P5
-0.350
-0.330
-0.300
-0.250
-0.080
-0.060
-0.020
0.060
0.150
0.230
0.300
0.360
0.400
-0.400
-0.350
-0.310
-0.290
-0.260
-0.200
-0.090
-0.020
0.030
0.200
0.280
0.350
0.400
-0.380
-0.350
-0.310
-0.290
-0.250
-0.180
-0.080
-0.010
0.030
0.190
0.300
0.350
0.400
P1-P2
0.163
0.180
0.195
0.205
0.214
0.219
0.220
0.218
0.210
0.203
0.195
0.182
0.165
0.153
0.170
0.193
0.208
0.213
0.215
0.220
0.221
0.220
0.216
0.200
0.191
0.175
0.160
0.179
0.196
0.205
0.215
0.220
0.220
0.220
0.220
0.214
0.203
0.191
0.170
Gas
Temp, F
88
88
88
88
88
88
88
88
89
89
89
89
89
95
95
95
94
94
94
93
93
93
93
92
92
92
92
92
92
91
91
91
91
91
91
91
91
91
90
Average
ซ AK
ftl C<5 >->
Pitch Resultant
-24.5
-20.6
-17.3
-12.9
-0.8
0.4
2.7
7.2
12.6
17.6
22.1
27.0
30.0
-30.0
-23.4
-18.1
-15.7
-12.9
-8.1
-1.3
2.7
5.5
15.2
20.6
25.4
30.0
-27.6
-22.1
-17.8
-16.0
-11.7
-6.6
-0.7
3.3
5.5
14.7
21.5
25.4
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
24.5
20.6
17.3
12.9
0.9
0.5
2.7
7.2
12.7
17.6
22.2
27.0
30.0
30.1
23.5
18.1
15.8
12.9
8.1
1.3
2.7
5.5
15.2
20.6
25.4
30.0
27.7
22.3
17.8
16.0
11.8
6.6
0.7
3.3
5.5
14.7
21.5
25.4
30.1
Res
27.42
22.14
17.75
14.89
8.51
5.07
1.59
4.42
7.91
15.86
21.43
25.93
30.04
0.
0.
0.
0.
0.
Pt-Ps
1729
1795
1873
1892
1958
0.2013
0.2034
0.2054
0.
2062
0.2082
0.2105
0.2131
0.
0.
2048
19S6
0.1773
0.1868
0.
0
0
1965
1966
1938
0.2009
0.2043
0
2052
0.2173
0.2110
0.2165
0
0
2172
1477
0.1830
0.1892
0
1942
0.1968
0.1981
0.2014
0.2037
0.2052
0.2144
0.2170
0.2165
0.2110
1 "" "\ ' !ซ''" *
a""-"1"
it,
fe"
*%?
yjf
"' ~
**ซ*-C
ป ซ^
^ K
t~ "
i
,!"ป '1
j * <
"-', ,J
* ป * v", *
-*** '
T^fif"1 i
'',"*', *"|
} - ,
**$ 'ปซ
Mp-P
? ,
X/AlAflflP
ฅ tSlwwHJC
Flow Dir
28.43
28.97
29.59
29.74
30.25
30.67
30.83
30.98
31.07
31.22
31.39
31.59
30.97
30.42
28.97
29.74
30.47
30.48
30.26
30.78
31.04
31.11
32.01
31.52
31.92
31.98
26.37
29.35
29.85
30.21
30.41
30.51
30.76
30.94
31.06
31.74
31.93
31.89
31.46
Vdir
28.41
29.10
29.72
30.14
30.38
30.48
30.79
30.99
31.08
31.66
31.61
31.80
31.47
<ซ fl/epif
O, IU&C7W
Axial
25.87
27.11
28.25
28.99
30.25
30.67
30.80
30.74
30.31
29.75
29.07
28.14
26.80
26.33
26.57
28.27
29.32
29.71
29.96
30.77
31.01
30.97
30.89
29.50
28.84
27.69
23.35
27.16
28.41
29.03
29.77
30.31
30.76
30.89
30.91
30.70
29.71
28.82
27.23
Vax
25.18
26.94
28.31
29.12
29.91
30.31
30.78
30.88
30.73
30.45
29.43 j
28.60
27.2J I
TABC254.WK4
C2-167
10/15/98
-------
Table C2-55. SPH-8 Computations: 60fps
Probe: Spherical SPH-8 / NIST 30-60 Calibration
Velocity Point: 60 fps Cal Date:
Number Of Points:
39
03/04/98
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation
Readings, in.H2O
Rep Angle Angle P4-P5 P1-P2
1 -30 2.8 -1.300 0.550
-25 2.4 -1.300 0.630
-20 1.3 -1.150 0.680
-15 0.6 -0.900 0.710
-10 0.6 -0.650 0.750
-5 0.2 -0.500 0.770
0 0.0 -0.290 0.770
5 0.0 0.030 0.760
10 -0.8 0.470 0.750
15 -1.0 0.780 0.740
20 -1.2 1.000 0.700
25 -1.4 1.230 0.650
30 -2.1 1.400 0.600
2 -30 2.8 -1.360 0.550
-25 2.8 -1.300 0.630
-20 1.5 -1.100 0.680
-15 0.6 -0.900 0.710
-10 0.3 -0.600 0.750
-5 0.2 -0.300 0.760
0 0.0 -0.060 0.760
5 0.0 0.220 0.760
10 -0.2 0.550 0.750
15 -0.7 0.800 0.730
20 -0.8 1.050 0.700
25 -0.9 1.260 0.650
30 -2.2 1.400 0.580
3 -30 2.6 -1.380 0.550
-25 2.5 -1.300 0.630
-20 1.2 -1.100 0.670
-15 0.4 -0.850 0.720
-10 0.0 -0.600 0.750
-5 0.0 -0.400 0.760
0 0.0 -0.080 0.760
5 -0.2 0.240 0.760
10 -0.3 0.600 0.740
15 -0.7 0.800 0.730
20 -1.0 1.100 0.690
25 -1.1 1.250 0.650
30 -0.2 1.450 0.580
Temp, F
90
90
90
90
90
90
90
90
90
90
90
91
91
93
93
93
93
93
93
93
93
93
93
93
93
93
92
92
92
92
92
92
92
92
91
91
91
91
91
Average
29.83
0.00
29.83
28.84
28.73
NA
0
54.30
1.0
16.1
16.2
9.48
Pitch
-27.4
-23.5
-19.0
-13.8
-7.2
-4.3
-0.9
4.3
11.6
16.7
20.9
26.0
30.0
-28.9
-23.5
-18.2
-13.8
-6.3
-1.1
2.9
7.4
12.9
17.2
2.1.7
26.5
30.0
-29.4
-23.5
-18.4
-12.1
-6.3
-2.8
2.5
7.7
13.8
17.2
22.7
26.4
30.0
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
Probe ID:
Pitot Cp:
CO2, %d:
O2, %d:
Water, %:
% Satur.:
Avg Temp:
Last Row:
SPH-8
1.00
0.00
20.9
1
4.66%
89
61
_F
Volumetric Air Flow Rate,
SCFM Wet:
Resultant
27.5
23.6
19.0
13.8
7.2
4.4
0.9
4.3
11.6
16.7
21.0
26.1
30.1
29.0
23.6
18.2
13.8
6.3
1.1
2.9
7.4
12.9
17.2
21.7
26.6
30.1
29.5
23.6
18.5
12.1
6.3
2.8
2.5
7.7
13.8
17.2
22.8
26.4
30.0
Res
28.69
23.59
18.58
13.25
6.64
2.75
2.08
6.49
12.75
17.01
21.82
26.33
30.05
Pt-Ps
0.6433
0.6577
0.6646
0.6599
0.6757
0.6941
0.7043
0.7056
0.7288
0.7534
0.7421
0.7467
0.7447
0.6777
0.6577
0.6591
0.6599
0.6751
0.6945
0.7029
0.7167
0.7381
0.7461
0.7508
0.7544
0.7198
0.5112
0.6577
0.6512
0.6607
0.6751
0.6897
0.7023
0.7181
0.7349
0.7461
0.7514
0.7518
0.7198
IjSSiiifJr^;.
0|
vSlGCltl1
Flow Dir
54.93
55.54
55.83
55.64
56.30
57.06
57.48
57.53
58.47
59.45
59.00
59.24
59.16
56.54
55.69
55.76
55.79
56.43
57.23
57.58
58.14
59.00
59.32
59.51
59.65
58.27
49.06
55.64
55.37
55.77
56.38
56.98
57.50
58.14
58.76
- 59.21
59.42
59.44
58.16
Vdir
I 53.51
i 55.63
i 55.65
i 55.73
I 56.37
I 57.09
\ 57.52
S:3&*3ซ: jjfirStt'ajSf :!* C"7 QA.
5
i 59.32
j 59.31
I 59.44
1 58.53
^
Axial
48.71
50.91
52.78
54.02
55.85
56.90
57.47
57.37
57.28
56.94
55.09
53.21
51.20
49.44
51.03
52.95
54.17
56.08
57.22
57.51
57.66
57.52
56.68
55.28
53.36
50.42
42.69
51.00
52.51
54.53
56.03
56.91
57.44
57.61
57.07
56.57
54.79
53.25
50.37
Vax
46.95
50.98
52.75
54.24
55.99
57.01
57.47
57.54
57.29
56.73
55.06 j
53.27
50.66
-TABC255.WK4
C2-168
10/15/98
-------
Table C2-56. SPH-8 Computations: 90 fps
Probe: Spherical SPH-8 / MIST 30-60 Calibration
Velocity Point: 90 fps Cai Date:
03/04/98
Number Of Points:
39
Barometric Pressure, in. Hg:
Static Pressure, inches H2O:
Absolute Pressure, in. Hg:
Molecular Wt. Dry, Ib/lb-mole:
Molecular Wt. Wet, Ib/lb-mole:
Fuel Factor, Fo:
Volumetric Air Flow Rate, SCFM Dry:
Average Axial Velocity, ft/sec:
Average Yaw Angle:
Average Pitch Angle:
Average Resultant Angle:
Resultant Angle Standard Deviation:
Readings, in.H2O
Pitch Y3w r ""--- "" U,U,ปLLI-T Gap
Rep Angle Angle P4-P5 P1-P2 Temp, F
29.83
0,00
29.83
28.84
28.73
NA
0
80.62
0.9
16.1
16.1
9.55
ซ ANGLES ป
Pitch Resultant
Probe ID: SPH-8
PitotCp: 1.00
CO2, %d: 0.00
O2, %d: 20.9
Water, %: 1
%Satur.: 4.71%
Avg Temp: 90 _F
Last Row: 61
Volumetric Air Flow Rate,
SCFM Wet:
I ฐ
Wp,| rtfMffpc ff/CAf*
R-Ps Flow Dir Axial
1 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
3 -30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
2.2
2.2
0.9
0.3
0.1
0.0
0.0
0.0
-0.6
-0.9
-1.0
-1.7
-2.3
3.1
1.7
0.5
0.1
0.0
0.0
-0.3
-0.3
-0.4
-0.5
-1,3
-1.2
-2.6
2.4
2.1
0.6
0.2
0.2
-0.1
-0.1
-0.3
-0.3
-0.9
-1.0
-1.1
-2.3
-3.000
-2.900
-2.450
-2.050
-1.500
-0.700
-0.300
0.600
1.200
1.700
2.300
2.650
3.000
-3.050
-2.900
-2.500
-2.050
-1.500
-1.050
-0.500
0.030
1.000
1.650
2.200
2.600
2.950
-3.000
-2.850
-2.400
-2.000
-1.450
-0.900
-0.300
0.500
1.000
1.580
2.220
2.600
3.000
1.200
1.360
1.500
1.560
1.650
1.690
1.700
1.690
1.650
1.620
1.520
1.430
1.300
1.190
1.380
1.500
1.570
1.660
1.690
1.690
1.690
1.670
1.630
1.530
1.430
1.290
1.200
1.370
1.500
1.570
1.650
1.680
1.690
1.680
1.650
1.610
1.500
1.400
1.280
98
98
98
98
97
97
96
96
95
95
95
94
93
95
95
96
96
96
97
97
98
99
99
99
100
100
86
86
85
84
84
83
83
82
81
80
79
78
77
-29.3
-24.3
-18.4
-14.7
-7.8
-1.3
1.6
8.2
12.8
16.6
21.9
25.6
30.0
-30.0
-23.9
-18.7
-14.6
-7.7
-4.0
0.2
4.1
11.2
16.2
21.0
25.2
30.0
-29.3
-23.7
-18.0
-13.9
-7.4
-2.9
1.6
7.5
11.3
15.8
21.5
25.6
30.0
29.4
24.4
18.4
14.7
7.8
1.3
1.6
8.2
12.8
16.6
21.9
25.6
30.1
30.1
24.0
18.7
14.6
7.7
4.0
0.3
4.1
11.2
16.2
21.1
25.2
30.1
29.4
23.8
18.0
13.9
7.4
2.9
1.6
7.5
11.3
15.9
21.5
25.7
30.1
1.4975
1.4386
1.4566
1.4598
1.4873
1.5428
1.5674
1.6012
1.6226
1.6485
1.6338
1.6282
1.6134
1.5210
1.4511
1.4620
1.4673
1.4962
1.5258
1.5521
1.5679
1.6175
1.6530
1.6245
1.6153
1.6010
1.1229
1.4348
1.4511
1.4605
1.4867
1.5237
1.5581
1.5853
1.5995
1.6281
1.6037
1.5955
1.5886
84.42
82.74
83.26
83.35
84.05
85.61
86.21
87.14
87.64
88.34
87.94
87.71
87.23
84.85
82.88
83.26
83.41
84.23
85.14
85.87
86.38
87.81
88.77
88.00
87.83
87.44
72.31
81.74
82.13
82.32
83.05
84.00
84.94
85.60
85.91
86.59
85.86
85.56
85.30
73.58
75.35
79.01
80.61
83.28
85.59
86.17
86.24
85.46
84.64
81.61
79.07
75.48
73.37
75.72
78.86
80.73
83.47
84.93
85.87
86.16
86.14
85.25
82.12
79.46
75.65
63.02
74.81
78.11
79.89
82.36
83.90
84.91
84.87
84.24
83.29
79.88
77.13
73.81
Res
Vdir
Average
-30
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
29.62
24.05
18.36
14.42
7.63
2.74
1.21
6.60
11.77
16.23
21.49
25.51
30.09
80.53
82.45
82.88
83.03
83.78
84.92
85.67
86.37
87.12
87.90
87.27
87.04
86.66
Vax
69.99
75.30
78.66
80.41
83.04
84.80
85.65
85.76
85.28
84.39
81.20
78.55
74.98
TABC256.WK4
C2-169
10/15/98
-------
This Page Intentionally Left Blank
C2-170
-------
Appendix C3.
Supporting Data for
First-Order Error Analysis
of Engineering Methods
-------
This Page Intentionally Left Blank
C3-2
-------
First-order error analysis provides the total uncertainty in a single measurement of volumetric flow
generated by a specific engineering method. The analysis consists of several steps. First, an equation
providing an approximation (to first order) of the error in a single calculation of volumetric flow is
derived. The first-order equation propagates the error in each term of the engineering method
equation into an error in the calculation in volumetric flow. Assuming independence among the input
parameters for each of the engineering method calculations, the overall (resulting) uncertainty in the
calculated flow rate can be determined from the uncertainties in the primary measurement parameters
(such as temperature and pressure) using the following approach:
u(R) =
O.S
where:
U(R) = Resulting coefficient of variation in calculated volumetric or mass flow rate of flue
gas;
0.
Ufa)
x,
n
Sensitivity coefficient for the i-th parameter, i = 1 to n;
Measurement uncertainty in the i-th parameter as represented by the sampling
variance of the parameter, i = 1 to n;
the i-th parameter, i = 1 to n; and
the total number of parameters.
Sensitivity coefficients for the stoichiometry-based engineering methods were determined by
differentiation, while sensitivity testing of the engineering equation was used to determine the
sensitivity coefficients for the BTCE method. This analysis was performed using the HEATRT
computer code developed by the Energy Research Center at Lehigh University.
Table C3-1 presents the test data used in the engineering methods at each test site. Average values
for each of the parameters were calculated from the raw data.
Table C3-2 presents a statistical representationthe coefficient of variation (CV)of the uncertainty
in each of these parameters at each test site. The CV, expressed as a percent, is calculated by CV =
standard deviation divided by the mean times 100.
Figures C3 -1 through C3 -3 present the volumetric flow values calculated according to the engineering
methods for DeCordova (Figure C3-1), Lake Hubbard high-load runs (Figure C3-2), and Homer City
(Figure C3-3). The error bars on each value represent the coefficient of variation.
Table C3-1. Average of Test Measurements Used as Input to Engineering Methods for
Post-Test First-Order Error Analysis
Measured Values Full Load Tests
Test Site Inputs*
Load (M We)
Fuel Flow (scfin), (Ib/h)
DeCordova
784.90
121,941
Lake Hubbard
508.80
80,963
Homer City"
650.10
481,080
C3-3
-------
Table C3-1. Average of Test Measurements Used as Input to Engineering Methods for
Post-Test First-Order Error Analysis
Measured Values Full Load Tests
Test Site Inputs'
HHV (Btu/scf), (Btu/lb)
02,econ (%)
C02,,,,ck(%)
02,stack (%)
HAซack (%)
FuelC (Ib/lbAR)
FuelH (Ib/lbAR)
Fuel S (Ib/lb AR)
Fuel O (Ib/lb AR)
Fuel N (Ib/lb AR)
Fuel Moisture (Ib/lb AR)
Fuel Ash (Ib/lb AR)
DeCordova
1,027
1.47
8.27
2.57
17.24
72.47
23.68
0.00
0.77
3.10
-
-
Lake Hubbard
1,030
2.02
7.73
3.57
16.61
72.17
23.44
0.00
1.20
3.23
-
-
Homer City"
12,387
2.66
12.51
5.17
6.96
69.04
4.49
1.62
4.23
1.11
8.09
11.42
a AR = as received.
Run 31 was excluded.
Table C3-2. Uncertainty in Test Measurements Used as Input to Engineering Methods for
Post-Test First-Order Error Analysis
CV(% ) Full Load Tests
Test Site Inputs
Load
Fuel Flow
HHV
Oz.econ
CO2,SUKk
Ol.stack
HaOstack
FuelC
Fuel H
FuelS
FuelO
FuelN
Fuel Moisture
Fuel Ash
DeCordova
Lake Hubbard
Homer City"
Individual Measurements
0.05
0.18
0.12
3.23
1.60
5.23
2.31
0.08
0.10
-
5.05
2.77
-
-
0.11
0.44
0.27
6.64
1.15
3.98
2.34
0.30
0.62
-
15.28
7.37
-
-
0.57
1.96
1.93
4.52
0.95
2.11
6.74
1.93
2.18
11.76
11.16
5.06
7.33
10.15
' Run 31 was excluded.
C3-4
-------
DeCordova
1,700,000
ฃ 1,600,000 --
u
1,500,000 - JL^
S
o
ง 1,400,000 --
in
sir5
uj
'Sin!
!
V I t I ? i HI VI I INL-W
i^
1,300,000
-- BTOE Msthod
O- O2-Based F-Fac!of Method
-ป- C02-Based F-Factor Method
-0-MMBtu Method
--ASMEMatHlSd
0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38
Run Number
Figure C3-1. Volumetric flow values obtained using engineering methods at
DeCordova.
r
Lake Hubbard -High Load
1,250,000 -
& A i
o 1,150,000 ]-
s i.
1 1
.. ;
w
* f ^
g 1,050,000 i T
"* [
tn \
a I i
O
tu
C 950,000 -
i_ a__A_A^ft_A-_4__^_a_ ^AA A__^_A_A_A_4_ll
; ;
^
tUjj
Mt=i!^"-r~*^i
i
- i =:
1 1 f i j
3
,
.
'
I
:t:
=d
t^
; :
k.
g^s-^^a-,^*^
'f^m-hft^ -J, T;
K^t=s~j,^t=$-=s
i
I !
' T :
4-
: f
- > " i I ฑ :
D O2-Based F-Factor Method
CO2-Based F-Factof Meihod
-- STOE Mปlhod
0-MMB
tit Method
ASME Method
~-A- Unit Load
0 2
468
10 12 14
:
r
N3
-
^
>=*=!
!
:
ฑ i
N
cj
.
ih
16 18
^
H
20
i a
\ :
5 ' ]
; ""
t J
- son
| 450
i :
-I 400
-
- 350
22 24 26
Run Number
Figure C3-2. Volumetric flow values obtained using engineering methods at Lake
Hubbard during high load.
C3-5
-------
Homer City Unit 1
1,550,000
1,450,000 -r
1,350,000 -- 4-
(7 1,250,000 f
1,150,000
-c-O2-8ased F-Factor Method
CO2-8ased F-Facfor Method
MMBlu Method
ASME Method
BTCEMelhod
8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38
Run Number
Figure C3-3. Volumetric flow values obtained using engineering methods at Homer
City.
C3-6
-------
Appendix D.
Rank Order Tables
-------
This Page Intentionally Left Blank
D-2
-------
Table D-l. DeCordova Rank Order of Volumetric Flow Across All Methods for Matrix
A (Runs 1-8)
Method
DAT
Type S Straight-up
Type S Yaw-nulled
Modified Kiel
Spherical
Prandtl
French
Manual Autoprobe 1 6 Pt. Straight-up
Manual Autoprobe 16 Pt, Yaw-nulled
Baseline Autoprobes 16 Pt, Straight-up
Baseline Autoprobes 16 Pt. Yaw-nulled
Baseline Autoprobes 48 Pt, Straight-up
Baseline Autoprobes 48 Pt. Yaw-nulled
O2 F-Factor
CO2 F-Factor
MMBtu
ASMEPTC4.1
BTCE
Run
1
13
11
10
14
12
8
9
7
6
3
1
5
2
4
2
10
13
14
12
11
9
8
7
6
3
1
4
2
5
3
11
13
14
12
10
9
8
7
6
1
2
5
3
4
4
1
13
11
14
12
10
9
8
7
2
4
. 5
6
3
5
1
14
13
12
11
9
10
7
8
2
3
5
4
6
6
12
14
13
11
10
9
8
7
6
1
2
3
4
5
7
10
14
13
8
12
9
11
6
7
1
2
4
3
5
8
13
14
6
12
11
10
9
8
7
1
2
4
3
5
Rank
Median
10.5
13
12.5
13
11.5
14
13
11.5
11
9
9
7
6.5
1.5
2
4.5
3
5
Range
12
2
4
3
1
0
7
4
2
2
3
2
2
2
3
- 2
4
3
D-3
-------
Table D-2. DeCordova Rank Order Summary of Volumetric Flow for
Matrix A Runs (1-8)
Method
Prandtl
Modified Kiel
Type S Straight-up
French
Type S Yaw-nulled
Spherical
Manual Autoprobe 16 Pt. Straight-up
Manual Autoprobe 16 Pt. Yaw-nulled
DAT
Baseline Autoprobes 16 Pt. Straight-up
Baseline Autoprobes 16 Pt. Yaw-nulled
Baseline Autoprobes 48 Pt, Straight-up
Baseline Autoprobes 48 Pt. Yaw-nulled
BTCE
MMBtu
ASMEPTC4.1
CO2 F-Factor
O2 F-Factor
Rank
Median
14.0
13.0
13.0
13.0
12.5
11.5
11.5
11.0
10.5
9.0
9.0
7.0
6.5
5.0
4.5
3.0
2.0
1.5
Rank Range
Maximum
14
14
13
13
14
12
12
12
13
10
11
8
8
6
5
6
4
3
Minimum
14
12
11
6
10
10
8
10
1
S
8
6
... 6
3
3
2
1
1
Difference
0
2
2
7
4
2
4
2
12
2
3
2
2
3
2
4
3
2
D-4
-------
Table D-3, Lake Hubbard Rank Order of Volumetric Flow Across All Methods for
Matrix A (High-Load Runs 1-8)
Method
DAT
Type S Straight-up
Type S Yaw-nulled
Modified Kiel
Spherical
Prandtl
French
Manual Autoprobe 16 Pt. Straight-up
Manual Autoprobe 16 Pt, Yaw-nulled
Baseline Autoprobes 16 Pt. Straight-up
Baseline Autoprobes 16 Pt. Yaw-nulled
Baseline Autoprobes 48 Pt. Straight-up
Baseline Autoprobes 48 Pt. Yaw-nulled
O2F-Factor
CO2 F-Factor
MMBtu
ASMEPTC4.1
BTCE
Run
1
1
13
12
14
2
11
7
8
5
3
6
9
10
4
2
9
13
12
14
1
10
5
6
4
3
8
7
11
2
3
7
14
13
12
1
10
8
5
4
2
9
6
11
3
4
12
13
2
14
1
11
7
9
5
3
8
6
10
4
5
4
14
2
13
8
10
6
7
3
S
11
9
12
1
6
1
14
11
9
7
12
5
6
4
3
10
8
13
2
7
8
12
1
10
5
14
9
7
* 3
4
11
6
13
2
S
5
12
1
14
7
11
6
9
4
3
10
8
13
2
Rank
Median
6
13.5
12
14
1
13
1.5
11.5
7
11
6.5
7
4
3
9.5
7.5
11.5
2
Range
11
1
11
. 2
1
2
10
5
3
4
4
4
2
3
5
3
3
*\
3
D-5
-------
Table D-4. Lake Hubbard Rank Order of Volumetric Flow for Matrix A
(High Load Runs 1-8)
Method
Modified Kiel
Type S Straight-up
Prandtl
Type S Yaw-nulled
ASMEPTC4.1
Manual Autoprobe 16 Pt. Straight-up
Baseline Autoprobes 16 Pt. Straight-up
CO2 F-Factor
MMBtu
Baseline Autoprobes 48 Pt. Straight-up
Manual Autoprobe 16 Pt. Yaw-nulled
Baseline Autoprobes 16 Pt. Yaw-nulled
DAT
Baseline Autoprobes 48 Pt. Yaw-nulled
O2 F-Factor
BTCE
French
Spherical
Rank
Median
14.0
13.5
13.0
12.0
11.5
11.5
11.0
9.5
7.5
7.0
7.0
6.5
6.0
4.0
3.0
2.0
1.5
1.0
Rank Range
Maximum
14
14
14
13
13
14
14
11
9
9
8
9
12
5
5
4
11
2
Minimum
12
13
12
2
10
9
10
6
6
5
5
5
- 1
3
2
1
1
1
Difference
2
1
2
11
3
5
4
5
3
4
3
4
11
2
3
3
10
1
D-6
-------
Table D-5. Homer City Rank Order of Volumetric Flow Across All Methods for
Matrix A (High-Load Runs 1-8)
Method
DAT
Type S Straight-up
Type S Yaw-nulled
Modified Kiel
Spherical A"
Spherical Ba
French
Manual Autoprobe 16 Pt. Straight-up
Manual Autoprobe 16 Pt. Yaw-nulled
Baseline Autoprobes 12 Pt. Straight-up
Baseline Autoprobes 12 Pt. Yaw-
nulled
Baseline Autoprobes 16 Pt. Straight-up
Baseline Autoprobes 16 Pt. Yaw-
nulled
02 F-Factor
CO2 F-Factor
MMBtu
ASMEPTC4.1
BTCE
Run
1
11
14
6
2
1
13
5
12
4
10
8
7
9
3
2
2
14
8
5
7
13
4
12
3
11
9
6
10
1
3
7
14
13
5
6
11
2
12
4
8
9
3
10
1
4
3
14
13
5
4
12
10
11
6
9
8
1
7
2
5
4
11
3
14
10
12
6
13
5
9
8
2
7
1
6
8
3
1
13
6
14
5
12
4
11
10
7
9
2
7
7
8
1
13
6
14
4
12
3
11
10
5
9
2
S
2
8
7
13
6
14
3
12
4
9
10
5
11
1
Rank
Median
5.5
14
10.5
8
5
5
2
13
6
13
4.5
12
4
9.5
8.5
5
9
1.5
Range
9
0
7
8
3
6
6
1
4
3
8
2
3
3
2
6
4
2
Spherical A = spherical probe copies SPH-1, SPH-2, SPH-3, and SPH-4;
Spherical B = spherical probe copies SPH-5, SPH-6, SPH-7, and SPH-8.
D-7
-------
Table D-6. Homer City Rank Order Summary of Volumetric Flow Matrix A
(High-Load Runs l-8)a
Methodb
Type S Straight-up
Manual Autoprobe 16 Pt Straight-up
Baseline Autoprobes 12 Pt. Straight-up0
Baseline Autoprobes 16 Pt. Straight-up
Type S Yaw-nulled
O2 F-Factor
ASMEPTC4.1
CO2 F-Factor
Modified Kiel
Manual Autoprobe 16 Pt. Yaw-nulled
DAT
Spherical B
Spherical A
MMBtu
Baseline Autoprobes 12 Pt. Yaw-nulled
Baseline Autoprobes 16 Pt. Yaw-nulled
French
BTCE
Rank
Median
14.0
13.0
13.0
12.0
10.5
9.5
9.0
8.5
8.0
6.0
5.5
5.0
5,0
5.0
4.5
4.0
2.0
1.5
Rank Range
Minimum
14
13
11
11
6
8
7
8
3
6
2
1
2
1
2
3
1
1
Maximum
14
14
14
13
13
11
11
10
11
10
11
7
5
v 7
10
6
7
3
Difference
0
1
3
2
7
3
4
2
8
4
9
6
3
6
8
3
6
2
At Homer City, 20-point traverses (results not shown in table) instead of 48-point traverses were performed
by the baseline Autoprobes for comparison with results for 12- and 16-point traverses.
Prandtl probes were not tested at Homer City because the 0,035-in. I.D. static pressure ports could become
clogged with paniculate matter at this site.
Twelve-point traverses were performed by the Baseline Autoprobes at Homer City for comparison with
results for 16- and 20-point traverses.
D-8
-------
Appendix E.
Analysis of Variance
-------
This Page Intentionally Left Blank
E-2
-------
ANALYSIS OF VARIANCE
The analysis of variance (ANOVA) models, the classes of probes defined in the Matrix A ANOVA,
and a description of the multiple comparison method used to test whether the mean volumetric flow
values significantly differ from each other are presented in this appendix,
ANOVA Models
Two distinct ANOVA models were used to analyze the Matrix A and Matrix B data. The models
are defined in the next two subsections.
Matrix A Runs
The ANOVA model used to analyze the Matrix A data is as follows:
ijk i j ijk
where
Fijk = volumetric flow (wscfm), i = l.,.9,j=l...5, k=1...4;
H = overall mean;
PI = probe type effect, i = 1 to 9;
TJ = test team effect, j = 1 to 5; and
eijk = random error, k=l to 4.
Matrix B Runs
The ANOVA model used to analyze the Matrix B data is as follows:
F... = u + C, + T. + (PT).. + &..,
ijk " i j ^ 'i/ ijk
where
Fijk ~ volumetric flow (wscfm), i = 1 ...9, j=l...5, k=l...4;
fi = overall mean;
Q = probe copy effect, i = 1 to 4;
TJ = test team effect, j = 1 to 4;
= probe copy and test team interaction effect; and
eijk = random error, k=l to 4.
Probe Classes
For the Matrix A ANOVA, methods for determining volumetric flow were grouped into classes. The
first variation of the approach5 (Variant 1) created separate classes for the one-dimensional, two-
dimensional, and three-dimensional probes, and for the French probe and engineering methods. A
second set of classes (Variant 2) that analyzed only the in-stack methods and separated the
Autoprobes from their manual counterparts was also created. The classes occurring in each variant
and the runs used in the analyses are presented for Variant 1 in Table E-l and for Variant 2 in Table
E-2.
E-3
-------
Table E-l. Class Definitions for Variant 1
Class
ID
F
2D
3D
E
Method
Type S Straight up
Baseline Autoprobes 16 Pt. Straight up
Manual Autoprobe 16 Pt. Straight up
Prandtl
French
Type S Yaw nulled
Baseline Autoprobes 16 Pt. Yaw nulled
Manual Autoprobe 16 Pt. Yaw nulled
Modified Kiel
DAT
Spherical
02 F-Factor
CO, F-Factor
MMBtu
ASMEPTC4.1
BTCE
Runs of Available Data Used
DeCordova
1, 2, 3, 4
1,2,3,4
5, 6, 7, 8
5, 6, 7, 8
5, 6, 7, 8
1,2,3,4
1,2,3,4
5, 6, 7, 8
1,2,3,4
1, 2, 3, 4
1, 2, Yb, 4
1,2,3,4
1, 2, 3, 4
1,2,3,4
1,2,3,4
1,2,3,4
Lake Hubbard
High Load
1,2,3,4
1,2,3,4
5, 6, 7, 8
5, 6, 7, 8
5, 6, 7, 8
1,2,3,4
1,2,3,4
5, 6, 7, 8
1, X', 3, 4
1,2,3,4
1,2,3,4
1, 2, 3, 4
1,2,3,4
1, 2, 3 ,4
1,2,3,4
1,2,3,4
Lake Hubbard
Low Load
22, 23, 24 ,25
22, 23, 24 ,25
NA
NA
NA
22, 23, 24, 25
22, 23, 24, 25
NA
22, 23, 24, 25
22, 23, 24, 25
22, 23, 24, 25
22, 23, 24 ,25
22, 23, 24 ,25
22, 23, 24 ,25
22, 23, 24 ,25
22, 23, 24 ,25
Homer City
1, 2, 3, 4
1,2,3,4
5, 6, 7, 8
NA
5, 6, 7, 8
1, 2, 3, 4
1,2,3,4
5, 6, 7, 8
5, 6, 7, 8
1,2,3,4
1,2,3,4
1, 2, 3, 4
1,2,3,4
1,2,3,4
1,2,3,4
1, 2, 3 ,4
The flow value for Run 2 measured by the modified Kiel (MK-4) at Lake Hubbard was not valid due to a bent probe. The average of
the values for Runs 1,3, and 4 by the modified Kiel probes was therefore used in the analysis.
The flow value for Run 3 measured by the spherical probe at DeCordova was not available due to a damaged probe. The average of
the values for the spherical probe data from Runs 34,35,37, and 38 was used therefore used in the analysis.
Table E-2. Class Definitions for Variant 2
Class
ID.
F
2Dm
IV3Dm
ID,
2D,
Method
Type S Straight up
Prandtl
French
Type S Yaw nulled
Modified Kiel
DAT
Spherical
Baseline Autoprobes 16 Pt. Straight up
Manual Autoprobe 16 Pt. Straight up
Baseline Autoprobes 16 Pt. Yaw nulled
Manual Autoprobe 16 Pt. Yaw nulled
Runs of Available Data Used
DeCordova
1,2,3,4
5, 6, 7, 8
5, 6, 7, 8
1,2,3,4
1,2,3,4
1,2,3,4
l,2,Yb,4
1, 2, 3, 4
5, 6, 7, 8
1, 2, 3 ,4
5, 6, 7, 8
Lake Hubbard
High Load
1, 2, 3, 4
5, 6, 7, 8
5, 6, 7, 8
1,2,3,4
1, X', 3, 4
1,2,3,4
1, 2, 3, 4
1, 2, 3, 4
5, 6, 7, 8
1, 2, 3 ,4
5, 6, 7, 8
Lake Hubbard
Low Load
22, 23, 24 ,25
N/A
N/A
22, 23, 24 ,25
22, 23, 24 ,25
22, 23, 24 ,25
22, 23, 24, 25
22, 23, 24 ,25
N/A
22, 23, 24 ,25
N/A
Class
1,2.3,4
N/A
5, 6, 7, 8
1,2,3,4
5. 6, 7, 8
1, 2, 3, 4
1,2,3,4
1,2,3,4
5, 6, 7, 8
1,2,3,4
5, 6, 7, 8
The flow value for Run 2 measured by the modified Kiel (MK-4) at Lake Hubbard was not valid due to a bent probe, The average
of the values for Runs 1,3, and 4 by the modified Kiel probes was therefore used in the analysis.
The flow value for Run 3 measured by the spherical probe at DeCordova was not available due to a damaged probe. The average of
the values for the spherical probe data from Runs 34, 35,37, and 38 was used therefore used in the analysis.
E-4
-------
Multiple Means Comparison Tests
Introduction
When comparing more than two means, an ANOVA reveals whether the means significantly differ
from each other, but not which means differ from the others. Multiple comparison methods (which
are also referred to as means separation tests) provide information about differences among means.
Many multiple comparison methods are available, including Fisher's least significant difference
method, Duncan's multiple range test, Tukey's studentized range test, Dunnett's comparison of all
treatments to a control, and others. The following narrative briefly describes the Duncan's multiple
range test, which was used in this study, followed by a brief discussion of the advantages and
disadvantages of this test and other multiple comparison methods.
Duncan's multiple range test
Suppose that, following an ANOVA where the null hypothesis is rejected (i.e., the means are
significantly different), we wish to test H0: //, = //,- for all i *j, and i, j = 1 ...a. For a test in which the
sample sizes are equal, Duncan's multiple range test arranges the a treatment means in ascending
order, and the standard error of each mean is determined as
MSE
n
where
%, = standard error of each treatment average;
MSE = mean squared error obtained from the ANOVA; and
n = the sample size.
For unequal sample sizes, n in the above equation is replaced by the harmonic mean nh of
where
a I t
rM J_
n
Note that if n, = n2 -,..= na then nh- n.
The test statistic in Duncan's multiple range test is the difference between means as denoted in the
following:
t.s. =
where
E-5
-------
t.s. = test statistic;
yt average response at treatment level i, i = l.,.a; and
yjf = average response at treatment level j, j #1, i = 1 ...a.
The critical value is calculated by the following steps:
From Duncan' s table of significant ranges (which can be found in most statistics books),
obtain the values ra(p,J) forp = 2,3,...a, where a is the significance level and/is the
number of degrees of freedom for error.
Convert these ranges into a set of a-l least significant ranges (e.g., R^ for/? = 2,3,. ..a by
calculating
The Duncan's multiple range test can now be performed using the test statistics and the critical
values obtained above. The observed differences between means are tested, beginning with the
largest versus the smallest, which would be compared with the least significant range Ra (taking j?
= a). Next, the difference of the largest and the second smallest is computed and compared with the
least significant range Ra.} (taking p = a-l). This process is continued until the differences of all
possible a(a-l)/2 pairs of means have been considered. If an observed difference (test statistic) is
greater than the corresponding least significant range (critical value), then the pair of means in
question is significantly different. To prevent contradictions, no differences between a pair of means
are considered significant if the two means involved fall between two other means that do not differ
significantly.
Discussion
The problem inherent in multiple comparisons is the overall error rate. Suppose there are ten means
and each pair of means is tested at the a = 0.05 level. There are 10(10-l)/2 = 45 pairs of means to
compare, each with a 0.05 probability of a type I error (a false rejection of the null hypothesis, i.e.,
when the two mean flow values are not significantly different but one concludes that they are). The
chance of making at least one type I error is much higher than 0.05. Calculating the exact
probability is difficult, but a conservative approximation can be derived by assuming the
comparisons are independent, giving an upper bound to the probability of making at least one type
I error (the experiment- wise error rate) of
1-(1-0.05)4S = 0.90.
The actual probability is somewhat less than 0.90, but as the number of means increases, the chance
of making at least one type I error approaches 1 .
E-6
-------
Whether to control the individual type I error rate for each comparison (also referred to as the
comparison-wise error rate) or the overall type I error rate for all the comparisons (also referred to
as the experiment-wise error rate) is the prerogative of the investigator. A smaller type I error rate,
however, will generally result in a test of lower power (i.e., a decreased ability to detect differences
in means when real differences exist). The importance between the two should be weighed and
considered when choosing which multiple comparison procedure to use.
Duncan's multiple range test controls the comparison-wise error rate. Therefore, if the significance
level of each individual comparison is a, then tests on means have a significance level that is greater
than or equal to a. Consequently, Duncan's procedure is quite powerful; that is, it is very effective
at detecting differences between means when real differences exist. The overall error rate, however,
tends to be high when the number of means tested increases.
Each multiple comparison method has its own advantages and disadvantages. Fisher's least-squares
difference method is a repeated t-testeasy to compute and explain. It controls the comparison-wise
error rate, and thus has a high power at the cost of a high overall type I error rate. Fisher's test has
been suggested as being very effective for detecting true differences in means if it is applied only
when the ANOVA is significant at the 0.05 level. Tukey's studentized range test controls
experiment-wise error rate, which results in a low overall type I error rate. Consequently, this more
conservative test has less power than, for example, Duncan's multiple range test.
E-7
-------
-------
Appendix F.
Confidence Interval Plots
-------
This Page Intentionally Left Blank
F-2
-------
The central tendency analysis using the grand mean, presented in Section 3.1, indicates how close
a specific probe type's ran average is to the grand mean for all methods. The grand mean approach,
however, does not provide a sense of the run-to-run variability of each tested method or the run-by-
ran deviation of a probe's measurements from the average of all measurements on specific runs.
This latter issue, i.e., the deviation of each probe type's measurements from the run average, is
illustrated in the confidence interval graphs presented in Figures F-l through F-4.
For each site, the graphs plot the Matrix A volumetric flow values by run for each method.
Superimposed on these line plots are three shaded areas representing 90%, 95%, and 99% confidence
intervals around the mean for each ran. The methods whose line plots tend to fall within the various
shaded confidence intervals have produced values closest to the grand mean.
Visual inspection of the graphs provides a sense of a method's proximity to the true volumetric flow
value on each run and the run-to-run swings in each method's volumetric flow values.
These graphs corroborate the observations made in the grand mean analyses presented in Section 3.1.
F-3
-------
1,650,000
1,630,000
1,610,000
1,590,000
1,570,000
ฐ 1,550,000
1
1,530,000
1,510,000
1,480,000
1,470,000
1,450,000
Runl
Run 2
Run 3
Run 4
RunS
Runs
Run?
90% Cl
8&&K&& 95% Cl
58388838 99% Cl
f BTCE
ASME 4.1
- * - MMBTU
-X CO2F-Faetw
AO2 F-Faetor
* BL AP 48-PL Null.
BL AP 48-Pt. Str,
BLAP16-Pt Null.
h BLAP16-R. Str.
- Man AP 16-R. Null.
-*Man AP 16-R. Str.
-XFrench
-*Prandt!
HiSpherical
-ป- Modified Wei
S Nulled
S Straight
h DAT
RunS
Figure F-l. Method measurements of volumetric flow and 90-99% confidence intervals about the run mean
(DeCordova field test, Matrix A).
-------
1250000
1150000
10SOOQO
ฃ
8
C 950000
o
>
850000
750000
650000
Run1
Ryn2
Run 3
Ryn4
RunS
RunB
Run?
Run 8
,,". -:: 90% Cl
&WiWK 95% C!
ajMSfWft 99% C!
1 BTCE
0 ASME 4.1
- * -MMBTU
~ -X- CO2 F-Factor
& O2 F-Faotor
* BL AP 4&-F1. Null.
BL AP 48-Pt. Sit.
~ BL AP 16-Pt. Null.
1 BLAP 16-Pt. Str.
Man. AP 16-Pt. Null.
XMan AP 16-Pt Str.
M French
A Prantttl
Spherical
-* Modified Mel
_. s Nulled
- S Straight
+- DAT
Figure F-2. Method measurements of volumetric flow and 90-99% confidence intervals about the run mean (Lake
Hubbard field test, Matrix Ahigh load).
-------
: 90% Cl
Run 24
Run 25
tastffiwtHS 99% Cl
1 BTCE
ASME 4.1
- - ซ - -MMBTU
XCO2F-Factor
ftO2 F-Factor
-ซ BL AP 48-Pt. Null.
BL AP 48-Pt. Str.
BL AP 16-Pt. Nulled
- 4- - BLAP 16-Pt. Str.
Spherical
ป- Modified Kiel
S Nulled
S Straight
h DAT
Figure F-3. Method measurements of volumetric flow and 90-99% confidence intervals about the run mean
(Lake Hubbard field test, Matrix Alow load).
-------
1550000
1500000
1450000
EL
g
| 1400000 ) [
13SOOOO
1300000
Run 1
Run 2
Run 3
Run 4
RunS
Runs
Run 7
RunS
-,'.! 90% Cl
JOOCMWJW 99% Cl
- 1 - BTCE
--- ASMS 4.1
-ซ --MMBTU
X CO2 F-Factor
A O2 F-Factor
- ป - BL AP 1S-Pt Noll,
-- BLAP16-P1. Str,
- BLAP 12-Pt. Null.
--- (--- BLAP 12-Pt, Sir,
- - Man AP 16-Pt. Null.
K Man AP 16-Pt, Str.
X French
Spherical B
9 Spherical A
*- Modified Kiel
- - S Nulled
----- -s Straight
- + - DAT
Figure F-4. Method measurements of volumetric flow and 90-99% confidence intervals about the run mean
(Homer City field testMatrix A).
-------
-------
Appendix G.
Dispersion Analysis
-------
This Page Intentionally Left Blank
G-2
-------
This appendix presents a graphical display of Matrix B data (Matrix A data for the manual and
baseline Autoprobes), showing run-by-ran variability in the measurements by different copies of the
same type of probe across all three sites (Figures G-l through G-9). The graphs provide a visual
representation of each probe type's measurement variability. Each page consists of three graphs, one
for each site. The scale and length of the y-axis on the graphs are the same, facilitating site-to-site
comparisons.
Along with the graphs appearing in this appendix, a "dispersion metric" was derived as an indicator
of the extent of dispersion in probe copy measurements. For a particular set of runs at a given site,
the absolute value of the difference between the volumetric flow values obtained by every pair of
probes in a given run is calculated. These calculated differences are summed for the four runs. This
total is then divided by the sum of the minimum volumetric flow values obtained for each of the four
runs. The resulting dispersion metric is expressed as a percent of the minimum flow values obtained
during the set of runs.
The derivation of the dispersion metric, DM, can be expressed algebraically as follows:
z
&=]
V
z
Ii
(VJ-
4
VF*
/ j mm
t=l
-vtk\
J
DM = JT x 100%
where:
k = index of runs in a given test series, k- 1,2, 3,4,
i = index of test probe copies in a given run, i= 1,2,3.
j = index of test probe copies in a given ran,/= 2,3,4.
V.k = volumetric flow value obtained on run k by probe copy z.
Vj = volumetric flow value obtained on run k by probe copy j.
V^n = minimum volumetric flow value obtained by any copy of tested probe on run k.
On runs where fewer than four ^copies of a probe were tested, the average of the tested probes is
weighted to make it comparable to a four-probe test ran. In effect, the dispersion metric is a single
number that captures the spread of the measurements appearing in each "snapshot" graph in this
appendix. The higher the metric, the greater the spread. The dispersion metrics obtained for each
probe at each site are presented in Table G-l.
G-3
-------
Table G-l. Dispersion Metric Summary
Method
DAT
Type S Straight-up
Type S Yaw-nulled
Modified Kiel
Spherical A
Spherical B
Prandtl
French
Autoprobe Straight-up
Autoprobe Yaw-nulled
DeCordova
14.70%
11.22%
7.93%
8.07%
NA
7,22%
9.38%
4.31%
3.64%
Lake Hubbard
22.46%
12.70%
- 15.10%
22.59%
5.14%
5.44%
Homer City
12.25%
4.49%
6.88%
17.36%
15.69%
18.27%
19.11%
1.19%
4.31%
G-4
-------
Variability of Copies of Same Probe Type
DAT Probe, DeCordova, Matrix B
f
t5
w
S
1,600
* 1
ฃ ง 1,550
1,460 IL
Run 15
Run 16
Variability of Copies of Same Probe Type
DATProbe, Lake Hubbard, MatrixB
~. 1,050
E
s
I I
g I 1,000
11
Run 19
Variability of Copies of Same Probe Type
DATProbe. H omer City, Matrix B
1,500
1,450
I I 1.4
1,350
Run 10
Run 11
Figure G-l. Results of dispersion analysis for DAT probes.
G-5
-------
Variability of Copies of Same Probe Type
Type S-Straight Probe, DeCordova, Matrix B
1,700
_ 1,650
E
S 1,800
I ฃ
1,550
1,500
Run 9 Run 10 Run 11 Run 12
Variability of Copies of Same Probe Type
Type S-Stralght Probe, Lake Hubbard, MatrixB
~ 1,200
1,050 I I
Ran 10 Run 11
Variability of Copies of Same Probe Type
Type S-StraightProbe, HomerCity, MatrixB
1,550
1,500
ฃ
1,450
Figure G-2. Results of dispersion analysis for Type S probes straight-up.
G-6
-------
Variability of Copies of Same Probe Type
Type S-NuIled Probe, DeCordova, Matrix B
-. 1,650
C 1,900
i I
1,550
1,500
Run9 Run 10 Run 11 Run 12
Variability of Copies of Same Probe Type
Type S-Nulled Probe, Lake Hubbarf, Matrix B
1,150
1,100
1,050 I L
Run 9 Run 10 Run 11 Run 12
Variability of Copies of Same Probe Type
Type S-Nulled Probe, Homer City, Matrix B
1,500
1,350
Run 34 Run 35 Run 36 Run 37
Figure G-3. Results of dispersion analysis for Type S probes yaw-nulled.
G-7
-------
Variability of Copies of Same Probe Type
Modified Kiel Probe, DeCordova, MatrixB
1,600
Z 1,550
1,500
MK-1
Run 20 Run 21
The modified Kiel probe was not operated at Lake Hubbard
Variability of Copies of Same Probe Type
Modified Kiel Probe. Homer City, MatrixB
1,500
~ 1,450
E
1,400
1,350
Run 20 Run 21
.MK-4
Figure G-4. Results of dispersion analysis for modified Kiel probes.
Go
-5
-------
Variability of Copies of Same Probe Type
Spherical Probes (Old), Lake Hubbard, MalrixB
1,150
-. 1,100
5
1.0SO
1,000
Run 14 Run 15
SPH-1
^.SPH-2
SPH-3
&SPH-4
Variability of Copies of Same Probe Type
Spherical Probes (Old), HomerCity, MatrlxB
~ 1,450
1,400
1,300
SPH-1
SPH-2
^ SPH-3
g.SPH-4
Run 30 Run 31
Run 42
Variability of Copies of Same Probe Type
Spherical Probes (New). Homer City, Matrix 8
1,500
1,450
1,300
Run IS Run 16
Run 1?
Figure G-5. Results of dispersion analysis for spherical probes.
G-9
-------
Variability of Copies of Same Probe Type
Prandtl Probe, DeCordova, Matrix B
1,700
1,650
E
a 1,600
1,550
1,500 II
i i
^.PR-2
^.PR-3
^.PR-4
Run 24 Run 26 Run 2? Run 28
The Prandtl probe was not operated at Lake Hubbard
The Prandtl probe was not operated at Homer City
Figure G-6. Results of dispersion analysis for the Prandtl probe.
G-10
-------
1,600
E
1,500
Variability of Copies of Same Probe Type
French Probe, DeCordova, Matrix B
.^.FR-3
aFR-4
The French Probe was not operated at Lake Hubbard
1,425
f
15
""
1,275
1,225
Variability of Copies of Same Probe Type
French Probe, Homer City, Matrix B
(.FR-1
..FR-2
rFR-3
tFR-4
Run 24 Run 256
Figure G-7. Results of dispersion analysis for French probes.
G-ll
-------
Volumetric Flow (w scfm)
Thousands
".&. "en tn "ffl ot
in o (j* o tn
o o o o o
Variability of Copies of Same Probe Type
Autoprobes Straight, DeCordova, Matrix A, Ryns 5-8
_ A"' '"-
l l l I
Run 5 Run 6 Run 7 Run f
Manual! 6 pt
^. Baseline 1 6 pt
^, Baseline 48 pt
Variability of Copies of Same Probe Type
Autoprobes Straight, Lake Hubbard, Matrix A, Runs 5-8
Volumetric Flow (w scfm)
Thousands
0 0 '-* "-* M
O Oi O Ul O
o o o o o
_
4 4 * *
r i l I
-?un S Run 6 Ruft ? Ryn J
^ Manual 16 pt
^.Baseline 16pt
^ Baseline 48 pt
Volumetric Flow (w scfm)
Thousands
w ~.u to "ซi "en
o* o in o in
o o o o o
Variability of Copies of Same Probe Type
Autoprobes Straight, Homer City, Matrix A, Runs 5-8
-
Run 5 Run 6 Run 7 Run 8
_,. Manual 15 pt
.4. Baseline 1 2 pf
,,fr Baset'rte 16 pt
Figure G-8. Results of dispersion analysis for Autoprobes straight-up.
G-12
-------
Volumetric Row (wscfm)
Thousands
V tn 01 . "o> "OB
So en o tn
O O O O
Variability of Copies of Same Probe Type
Autoprobes Nulled, DeCordova, Matrix A, Runs 5-8
-
* *
iiii
Run 5 Run 6 Run 7 Run 8
vManual16pt
+. Baseline 16 pi
.4. Baseline 48 pt
l
1 200
,-, 1,150
"ง
O
S. 1 1.100
1 *
"o
"* 1,050
1 000
Variability of Copies of Same Probe Type
^utoprobes Nullsd, Lake Hubbard, Matrix A, Runs 5-8
-
- __ , r ~> .__
> f. -~if
i i i ..i
Run 5 Run 6 Run 7 Run 8
.p. Manual 1 6 pt
.ป. Baseline 16 pt
^ Baseline 48 pt
1 500
~ 1,450
e
u
^^ ~o
% c
ฃ i L400
5
1 H
f
> 1.350
1 300
Variability of Copies of Same Probe Type
Autoprobes Nulled, Homer City, Matrix A, Runs 5-8
^^
ill!
Run 5 Run 8 Run 7 Run 8
^ Manual 1 6 pt
^Baseline 12 pt
^ Baseline 16 pt
Figure G-9. Results of dispersion analysis for Autoprobes yaw-nulled.
G-13
-------
-------
Appendix H.
Initial Parameters and Results
for Uncertainty Analysis
-------
This Page Intentionally Left Blank
H-2
-------
Estimation of flue gas flow based on the MMBtu method
This method of calculating flue gas flow is based on the concept that the weight of air required for
combustion of a unit weight of fuel is proportional to heat input. Consequently, the weights of air,
dry gas, moisture, and wet gas are expressed in units of pounds per million Btu (MMBtu) fired. The
calculation procedure involves several steps, as follows (parameters for which no units are given are
dimensionless):
(a) Fuel in Combustion Products Factor:
F = 104(100 - %Unburned Combustibles Weight Loss)/HHV (Ib fuel/MMBtu). (Eq. H-l)
The quantity "%Unburned Combustibles Weight Loss" is expressed as a percent of the solid
unbumed fuel, by weight, in the as-fired (AF) fuel. The heating value of the fuel is expressed in Btu
per pound of AF fuel.
(b) Theoretical Dry Combustion Air:
Adiy = 104[11.52C + 34.57(H - O/8) + 4.32S] /HHV (Ib dry air/MMBtu). (Eq. H-2)
The quantities C, H, O, and S are percents of carbon, hydrogen, oxygen, and sulfur in AF fuel on a
weight basis.
(c) Theoretical Wet Combustion Air:
Awet = (1 + m) Adry (Ib wet air/MMBtu). (Eq. H-3)
The quantity m is the humidity ratio of inlet (ambient) air, expressed in pounds of air moisture per
pound of dry air,
(d) Unburned Combustibles Loss Factor:
C = 1 - %Unburned Combustibles Weight Loss/100. . (Eq. H-4)
(e) Products of Combustion:
P = F + C(l + E)Awet (Ib wet flue gas/MMBtu). (Eq. H-5)
The quantity E is the excess air coefficient, determined from:
E = {[B + (3(3.76 +co)]A - xuc>s - xus>s}/{p[l - (4.76 + o>)A]}. , (Eq. H-6)
where:
B is the fuel composition coefficient, determined from:
B = l+C2/2 + C3 + C5/2 + C6 + C7. (Eq.H-7)
P is the theoretical air coefficient, determined from:
p = l+C2/4 + C3-C4/2 (Eq.H-8)
and CD is moles of air moisture per mole of dry air.
H-3
-------
A is a combustion coefficient, determined from:
A = [2O2 - CO - 2(UCg + USg)( 1 - O2)]/(2 - CO). (Eq. H-9)
Other parameters are defined below:
xue s 5 xus,s = Moles of solid unburned carbon and sulfur per mole of fuel
carbon, respectively;
UCg, US. = Moles of gaseous unburned carbon and sulfur in flue gas;
C2 = mole H/mole C;
C3 = mole S/mole C;
C4 = mole O/mole C;
C5 = mole N/mole C;
C6 = mole H2O/mole C; and
C7 = mole CO2/mole C (applicable only for gaseous fuel).
Note: C2, C3, C4, C5, C6, and C7 are calculated from gaseous fuel composition data and coal ultimate
analysis.
(f) Flue Gas Mass Flow Rate:
Mfg = PQM (Ib/h). (Eq.H-10)
(g) Volumetric Flue Gas Flow Rate:
Vfg = Mfg/pfg (wcft/h).
where the quantity pfg represents the density of wet flue gas.
Estimation of Flue Gas Flow Using a Type S Probe
F = 85.49C
\
AP (Ts + 460)
(Eq. H-12)
H-4
-------
where:
stack gas total velocity (ips);
85.49
pitot tube constant (fps)
(lb/lb-mole)(in.Hg)
(ฐR)(in.H20)
CP
AP
Ms
6,,
pitot tube coefficient;
pressure differential (in. H2O);
stack temperature (ฐF);
absolute stack gas pressure (in. Hg);
molecular weight of stack gas, wet basis (Ib/lb-mole); and
yaw angle (ฐ).
In accordance with Method 2, volumetric flow results were first calculated in units of dry standard
cubic feet per minute. This flow value is then converted to wet volumetric flow by using Equation
H-14.
460) (P .)
(Eq. H-13)
Qsd
(Eq. H-14)
where:
Qsd =
Qsw ~~
60 =
avg ~~
A
T_.
std -
o
Ps,I =
dry volumetric flow rate corrected to standard conditions (dscf/min);
wet volumetric flow rate corrected to standard conditions (wscf/min);
conversion factor (sec/min);
water vapor in gas stream (%H2O/100);
average of the velocity measurements, Vs, over all points in the
traverse (ftps);
stack cross-sectional area (ft2);
standard absolute temperature (528 ฐR);
absolute stack gas pressure (in. Hg);
absolute stack gas temperature (ฐF); and
standard absolute pressure (29.92 in. Hg).
H-5
-------
Table H-l, Sampling Distribution for the Monte Carlo Analysis of the MMBtu Method
Input Parameter
Relative humidity (Ib/ib dry air)
O2 - stack (%) (wet)
CO2 - stack (%) (wet)
CO - stack (ppm) (wet)
Vm - Gas Meter Volume (cf)
Y - Meter Box Factor
Pd,,- Barometric Pressure (in.
Hg) .
Tm - Average Temperature (ฐF)
V - Impinger (ml)
W - Silica Gel (gm)
Fuel C (%)
Fuel H (%)
Fuel O (%)
Fuel S (%)
Fuel N (%)
Fuel Moisture (%)
Resulting
Parameter
E- excess air
coefficient
H2O - stack
(%)
E - excess air
coefficient
DeCordova
Mean
0.011
2.57
8.27
188.74
34.25
0.973
29.1
72
134
7.7
Std.
Dev.
0.0002
0.09
0.27
3.85
0.34
0.024
0.05
2.7
0.5
0.25
cy
(%)
2
3.60
3.27
2.04
1
2.5
0.17
3.75
0.37
3.25
Source of Estimating
Uncertainties
Run by run data
40 CFR Part 60, App. A,
Method 3A
40 CFR Part 60, App. A,
Method 3A
40 CFR Part 60, App. A,
Method 10
40 CFR Part 60, App. A,
Method 4
Homer City
Mean
0.008
5.17
12.52
240
34.75
0.983
28,8
85
45
7.2
69.26
4.503
4.219
1.623
1.118
8.08
Std.
Dev.
0.0017
0.19
0.41
7.39
0.35
0.025
0.05
2.7
0.5
0.25
0.951
0.065
0.477
0.081
0.067
0.55
cv
(%)
22.41
3.63
3.30
3.08
1
2.5
0.17
3.18
1.11
3.47
1.37
1.43
11.30
4.99
5.99
6.87
Source of Estimating
Uncertainties
Run by run data
40 CFR Part 60, App. A,
Method 3A
40 CFR Part 60, App. A,
Method 3A
40 CFR Part 60, App. A,
Method 10
40 CFR Part 60, App. A,
Method 4
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
-------
Table H-l. Sampling Distribution for the Monte Carlo Analysis of the MMBtu Method
Input Parameter
Vm - Gas Meter Volume (cf)
Y - Meter Box Factor
Pbu.- Barometric Pressure (in.
Hg)
Tm - Average Temperature (ฐF)
V - Impinger (ml)
W - Silica Gel (gin)
Fuel C (%)
Fuel H (%)
Fuel O (%)
Fuel S (%)
Fuel N (%)
Fuel Moisture (%)
Resulting
Parameter
H2O - stack
(%)
E - excess air
coefficient
DeCordova
Mean
34.25
0.973
29.1
72
134
7.7
Std.
Dev.
0.34
0.024
0.05
2.7
0.5
0.25
cv
(%)
1
2,5
0.17
3.75
0.37
3.25
Source of Estimating
Uncertainties
40 CFR Part 60, App. A,
Method 4
Homer City
Mean
34.75
0.983
28.8
85
45
7.2
69.26
4.503
4.219
1,623
1.118
8.08
Std.
Dev.
0.35
0.025
0.05
2.7
0.5
0.25
0.951
0.065
0.477
0.081
0.067
0.55
CV
(%)
1
2.5
0.17
3.18
1.11
3.47
1.37
1.43
11.30
4.99
5.99
6.87
Source of Estimating
Uncertainties
40 CFR Part 60, App. A,
Method 4
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
Official and QA as-received
coal composition data
-------
Table H-2. Span and Calibration Gas Values for O2ป CO2, and CO Monitors
at DeCordova and Homer City
Monitors
02(%)
CO2 (%)
CO (ppm)
DeCordova
Span
25
20
500
Calibration Gas
12.67
11.15
454.8
Homer City
Span
25
20
500
Calibration Gas
12.55
11.07
296.3
Table H-3. Error Components in Stack Gas Monitors
Monitors
02(%)
CO2 (%)
CO (ppm)
DeCordova
Linearity
0.25
0.20
5
Drift
0.375
0.30
7,5
Cal Gas
0.063
0.056
2.274
Results
3.60
3.27
2.04
Homer City
Linearity
0.5
0.20
5
Drift
0.375
0.30
7.5
Cal Gas
0.063
0.055
1.482
Results
3.63
3.30
3.08
Table H-4. Sampling Distribution for Monte Carlo Analysis of Type S Probe, Straight Up
Input Parameter
Stack Area (in2)
Pbar - Barometric
Pressure (in. Hg)
Pg - Static Pressure
(in. H2O)
Cp - Calibration
Coefficient
Ap (in. H2O)
Gas temperature (ฐF)
O2 - stack (%) (dry)
CO2 - stack (%) (dry)
H2O - stack (%)
DeCordova
Mean
60235.8
28.9
-1.3025
0.788
2.146
303.5
2.94
10.14
17.34
Std.
Dev.
301.2
0.05
0.05
0.005
0.04
1
0.11
0.33
0.35
cv
(%)
0.5
0.17
-3.84
0.64
2
0.33
3.60
3.27
2
Source of
Estimating
Uncertainties
Expert opinion
40 CFR Part 60,
App A, Meth. 4
40 CFR Part 60,
App A, Meth. 4
40 CFR Part 60,
App A, Meth. 2
Magnehelic spec.
40 CFR Part 60,
App A, Meth. 4
40 CFR Part 60,
App A, Meth. 3A
40 CFR Part 60,
App A, Meth. 3A
Monte Carloa
Homer City
Mean
65144.1
28.58
-2.32
0.794
1.55
283.6
5.50
13.57
6.69
Std.
Dev.
325.7
0.05
0.05
0.005
0.03
1
0.20
0.45
0.17
CV
(%)
0.5
0.17
-2.16
0.63
2
0.35
3.63
3.30
2.6
Source of
Estimating
Uncertainties
Expert opinion
40 CFR Part 60,
App A, Meth. 4
40 CFR Part 60,
App A, Meth. 4
40 CFR Part 60,
App A, Meth. 2
Magnehelic
spec.
40 CFR Part 60,
App A, Meth. 4
40 CFR Part 60,
App A, Meth. 3A
40 CFR Part 60,
App A, Meth. 3A
Monte Carlo3
Uncertainty obtained using the input parameters and associated uncertainties presented in Table H-l.
H-8
-------
Appendix II.
Wall Effects Adjustment Factors
Used in Round 2 Central Tendency Analysis
-------
This Page Intentionally Left Blank
11-2
-------
Table 11 -1 shows the wall effects adjustment factors that were used in the Round 2 Central tendency
analysis presented in Section 4.1.
Table 11-1. Wall Effects Adjustment Factors Used in the Round 2 Central Tendency
Analysis
Method
Type S Yaw-nulled
DAT
Spherical
Baseline Autoprobes 16-Pt. Yaw-nulled
Type S Straight-upa
PrandtP
DeCordova
-1.93%
-1.57%
-1.32%d
-1.33%e
-1.83%
-1.59%
Lake Hubbard
-1.93%b
-1.56%
-1.32%b
-1.58%
-1.83%b
-1.59%b
Homer City
-1.93%b
-1.57%c
-1.32%b
-1.45%ฐ
-1.83%b
-1.59%b
Not included in the grand mean calculations.
The Type S yaw-nulled, spherical. Type S straight-up, and Prandtl probe factors for Lake Hubbard and Homer City are based
on tests conducted at DeCordova. Wai! effects testing with these probe types was not carried out at Lake Hubbard. Wall effects
testing with the Prandtl probe was not carried out at Homer City. Although wall effects testing with the Type S and spherical
probes was carried out at Homer City, the results have been excluded from analysis in this report because measurements could
not be obtained beginning at 1 in. from the stack wall for every port. See Appendix J for a detailed description of problems with
wall effects testing at Homer City.
The 16-point baseline Autoprobes yaw-nulled and DAT probe factors for Homer City are the averages of the DeCordova and
Lake Hubbard results for those probe types (each site weighted equally). The results of the wall effects tests using the
Autoprobes and DAT probe at Homer City have been excluded from analysis in this report because measurements could not
be obtained beginning at 1 in. from the stack wall for every port. See Appendix J for a detailed description of problems with
wall effects testing at Homer City.
Due to problems with two of the spherical probes used at DeCordova, two DAT probes were substituted for spherical probes
during Matrix C testing. The spherical probe wall effects factor for DeCordova is based on the wall effects data collected by
the two remaining spherical probes, which were operated in Ports B and D during the test. See Table J-l in Appendix J for more
details.
The 16-point baseline Autoprobes yaw-nulled factor for DeCordova is the average of the factors obtained during the four day-
time wall effects tests in which this method was used.
11-3
-------
-------
Appendix 12.
Comparison of Manual and
Electronic Pressure Measuring Devices
-------
This Page Intentionally Left Blank
12-2
-------
According to some of the peer reviewers, manual pressure devices provide consistently higher
pressure readings than electronic transducers. To examine this assertion, Cadmus analyzed several
data sets from this project and other test programs sponsored by the U.S. Environmental Protection
Agency (EPA) and the Electric Power Research Institute (EPRI). The data sets consist of pressure
readings taken with manometers, magnehelic gauges, and various types of electronic transducers.
Data from the following tests were used: an EPA-sponsored swirl tunnel test conducted by Fossil
Energy Research Corp. (FERCo); an EPRI-sponsored field test at the Coal Creek and Columbia
power plants conducted by FERCO; an EPA-sponsored field test conducted by Radian; and a
National Institute of Standards and Technology (NIST) wind tunnel test during which the probes
used in the study were calibrated. This appendix describes the devices used, the types of data
collected, and the analyses performed in reaching the conclusions on manual and electronic pressure
devices presented in Section 4.4. This appendix also includes a more detailed discussion of the
findings than that presented in Section 4.4. Comparisons are presented in tabular format and as box-
and-wbisker plots.
EQUIPMENT AND SITE DESCRIPTIONS
NIST Wind Tunnel Test (NISTData Set)
During December 1997 through April 1998? 33 probes used in this field study were calibrated in the
wind tunnel operated by NIST in Gaithersburg, Maryland. The pressure measurements were obtained
using three types of pressure devices: inclined manometers, electronic transducers, and magnehelic
gauges. Measurements were made at three different velocities for each type of probe. The
characteristics of the pressure measurement devices used at NIST are summarized in Table 12-1.
Table 12-1. Differential Pressure Devices Used During NIST Wind Tunnel Tests
Pressure
Measurement
P,-P2
PI -Pi
P,-P2
P.-Pz
PI -Pa
P2-P3
P4-P5
P4-P5
P4-P5
P< - P5
P4-P5
Instrument
Merriam Inclined Manometer
Dwyer Magnehelic Gauge
Dwyer Magnehelic Gauge
Dwyer Magnehelic Gauge
Shortridge Electronic Manometer
Dwyer Magnehelic Gauge
Meriarn Inclined Manometer
Dwyer Magnehelic Gauge
Dwyer Magnehelic Gauge
Dwyer Magnehelic Gauge
MKS Pressure Transducer
Range
(in. H2O)
Oto4
0 to 0.5
Oto2
Oto5
Oto5
-0.5 to 0.5
Oto4
ฑ (0 to 0.25)
ฑ (0 to 1)
ฑ (0 to 5)
Oto5
Divisions
(in. H2O)
0.01
0.01
0.05
0.2
0.01
0.02
0.01
0.01
0.02
0.2
0.01
Accuracy
(ฑ% FS)
0.25
3
2
2
0.5
2
0.25
3
2
2
0.5
12-3
-------
Swirl Wind Tunnel Test (FERCo Swirl Wind Tunnel Data Set)
During July 1998, the Fossil Energy Research Corp., under contract to EPA, conducted a series of
tests at a special wind tunnel that FERCo had developed for the Electric Power Research Institute
to study swirling flow. For the EPA-sponsored work, pressure measurements were taken at three
points in the wind tunnel for each of three velocities. The test points and velocities were chosen to
simulate the flow turbulence extremes encountered in field test sites. Each measurement was taken
independently by three separate testers. All measurements were made with a Type S probe (EPA
Probe S-l 1) operated in the straight-up mode. Three pressure measurement devices were used at
each point: an inclined manometer, an electronic transducer, and a magnehelic gauge. Pressures
from the inclined manometer and magnehelic gauge were manually read and recorded. An electronic
data-logger was used with the electronic transducer, automatically collecting and storing a value
every 0.1 second. Table 12-2 summarizes the specifications and calibration data for the devices used
in the FERCo wind tunnel tests.
Table 12-2. Specification and Calibration Data in FERCo Swirl Wind Tunnel Test
Instrument
Meriam Inclined Manometer, 30-in. Scale
Dwyer Electronic Transducer
Dwyer Magnehelic
Serial
Number
12802-K2
60714420
R40D
Range
(in. H2O)
Oto4
Oto5
Oto5
Divisions
(in. H2O)
0.01
0.01
0.1
Accuracy
(db %)
0.25 FS
0.5 FS
2FS
Cal
Factor K
-
1.007
0.990
EPA Field Test (Radian Data Set)
In September 1995, Radian Corporation, under contract to EPA, conducted a series of tests at a coal-
fired boiler. During these tests, three types of pressure measurement devices were evaluated: oil
(or inclined) manometers, magnehelic gauges, and electronic transducers. The types of probes used
during the test included a 1/4" Type S, a 3/8" Type S, a 3D, and a modified Type S. Table 12-3
summarizes the specifications and requirements for the pressure measurement devices used in this
field test.
EPRI Field Tests (Coal Creek and Columbia Data Sets)
In September 1996, FERCo, under contract to EPRI, conducted field tests at two electric utilities,
Columbia and Coal Creek. The Columbia site is located in Portage, Wisconsin, and the Coal Creek
site is located in Underwood, North Dakota. Electronic transducers and magnehelic gauges were
used in parallel with each test probe to provide comparative differential pressure data. Inclined
manometers were not used during these tests.
Table 12-4 presents the specifications for the pressure measurement devices. Differential pressure
readings using the magnehelic gauges were manually recorded, and the pressures from the electronic
transducers were electronically recorded every second. Both types of pressure devices were used
to simultaneously measure velocity pressure (PrP2) for all test probes and the yaw null (Pi-Ps) and
pitch (P4-Ps) pressure readings for three-dimensional probes.
12-4
-------
Table 12-3. Differential Pressure Devices Used During the Radian Field Test
Pressure
Measurement
Pi-Pj
PI -Pa
P|-P2
Pi-Pj
P,-Pj
Pj-Pj
P4-PS
P4-P5 _^
P4-PS
P4-Ps
Instrument
Dwyer Inclined Manometer
Dwyer Inclined- Vertical Manometer
Dwyer Magnehelic Gauge
Dwyer Magnehelic Gauge
Setra Systems Pressure Transducer
Dwyer Magnehelic Gauge
Dwyer Inclined Manometer
Dwyer Inclined- Vertical Manometer
Dwyer Magnehelic Gauge
Setra Systems Pressure Transducer
Range
(in, H2O)
Oto2
0 to 1, 1 to 5
Oto2
Oto5
Oto5
-1.0 to 1.0
Oto2
0 to 1, 1 to 5
-1 to 1
Oto5
Divisions
(in. HaO)
0.01
0.01,0.1
0.05
0.10
0.01
0.5
0.01
0.01,0.1
0.05
0.01
Accuracy
(ฑ% FS)
0.25
0.25
2
2
0.5
2
0.25
0.25
2
0.5
Table 12-4. Differential Pressure Devices Used During the Field Tests at Columbia and
Coal Creek
Pressure
Measurement
PI-PI
Pi-PZ
P2-P,
PrPj
P4-P5
P4-P,
P4-P5
Instrument
Dwyer Magnehelic
Dwyer Electronic Transducer
Dwyer Magnehelic
Dwyer Electronic Transducer
Dwyer Magnehelic
Dwyer Magnehelic
Dwyer Electronic Transducer
Serial
Number
R24D
60714420
CR63
50328123
CR56
R40D
60714435
Range
(in. H2O)
Oto5
Oto5
-0.5 to 0.5
-0.25 to 0.25
-0.5 to 0.5
Oto5
Oto5
Divisions
(in.H2O)
0.1
0.01
0.01
0.01
0.02
0.1
0.01
Accuracy*
(ฑ %)
2FS
0.5 FS
2FS
0.25 FS
2FS
2FS
0.5 FS
a FS = Full scale
COMPARISON OF PRESSURE MEASUREMENTS
Averaging Procedures for the Electronic Transducers
Pressure readings from electronic transducers in the data sets were provided in three forms: (1)
averaged AP values in the NIST and Radian data sets, (2) raw 1 -second AP values in the Coal Creek
and Columbia field test data sets, and (3) raw 0.1-second AP values in the FERCo swirl wind tunnel
data set. Two approaches were used to calculate the average AP values from the 1-second or
0.1-second AP values obtained by the electronic transducer:
12-5
-------
1. Approach 1 (Straight averages)The averages of each 1-second (or 0.1-second) AP value
was calculated for the same period observed for the manual device measurements.
2. Approach 2 (Squares of the square root averages)The square roots of each 1-second or
0.1-second AP value were first calculated; next the average of these square root values over
the observation period was calculated; and finally, this value was squared.
To evaluate the differences in these two approaches, the average AP values from the electronic
transducer calculated using each approach were summarized in Table 12-5 for the FERCo swirl wind
tunnel data and Table 12-6 for the Coal Creek and Columbia field test data. The percent differences
in the average AP values for these two approaches were also calculated and summarized in the
tables. Turbulence calculations were included in the tables as a means of examining whether the
difference in these two approaches is related to the turbulence of the flow as measured by the
electronic transducer. Turbulence was calculated as (maximum - minimum) / mean * 100, using the
1-second AP values for Columbia and Coal Creek field test data and the 0.1-second AP values for
swirl wind tunnel data. Turbulence was calculated for the period when the manual device
measurements were observed.
Examination of Tables 12-5 and 12-6 results in the following observations:
The average percent difference in the AP values from the electronic transducer between
Approach 1 and Approach 2 is very small. It ranges from 0.04% to 0.3 8% for the swirl wind
tunnel test. For the Coal Creek field test and the Columbia field test, the average percent
differences between the two approaches are 0.44% and 0.14%, respectively.
ซ For the swirl wind tunnel test, turbulence at the inlet is the highest among all three test
points, followed by Test Point Ib. Test Point 5a demonstrates the least turbulence. This
observation is true for all velocity conditions conducted. A similar pattern is observed for
the average percent differences in the AP values between Approach 1 and Approach 2 for the
electronic transducers. In addition, the larger the percent difference between the two
averaging approaches, the more turbulence is observed.
For subsequent analyses, the second approach was used for calculating the average AP values for
the electronic transducer. This approach is equivalent to averaging velocities (velocity is
proportional to the square root of AP) and should therefore provide a more representative average
velocity value. The results of comparing the manual devices and the electronic transducer are
summarized in the following sections.
NIST Wind Tunnel Test (NISTData Set)
In the wind tunnel test performed at NIST, pressure readings were taken at three different velocities:
30,60, and 90 fps. Seven different probe types were used during the tests. Data obtained from the
DAT, Type S, modified Kiel, Prandtl, French, spherical, and Autoprobes were used for this analysis.
The percent differences between the manual devices (inclined manometer and magnehelic gauge)
and the electronic transducer were calculated for each probe type at each velocity. Table 12-7
12-6
-------
Table 12-5. Comparison of the Average AP Values from the Electronic Transducer
Calculated in Two Ways and TurbulenceFERCo Swirl Wind Tunnel Test
Electronic
Transducer in
Parallel With
Inclined Manometer
Magnehelic Gauge
Velocity
Condi-
tion
1
2
3
1
2
3
Test Point
Location
Ib
5a
inlet
Ib
5a
inlet
Ib
5a
inlet
Ib
5a
inlet
Ib
5a
inlet
Ib
5a
inlet
Avg. AP Values from the Electronic Transducer
Approach I8
1.776
1.529
1.537
1.430
1,234
1.216
1.154
0.980
1.000
1.794
1.539
1.518
1.445
1.221
1.244
1.149
0.965
0.995
Approach 2
1.773
1.528
1.531
1.428
1.234
1.212
1.152
0.980
0.997
1.791
1.538
1.513
1.443
1.221
1.240
1.148
0.965
0.991
%Diff.c
0.17
0.06
0.38
0.13
0.06
0.36
0.12
0.05
0.25
0.17
0.05
0.37
0.14
0.05
0.35
0.12
0.04
0.38
Turbulence
40.00
28.07
76.84
41.56
24.40
61.14
34.98
21.32
52.40
40.23
23.01
69.38
36.31
22.86
63.46
35.60
19.62
56.49
a Straight averages of the 0.1-second AP values.
Squares of the average of the square root of each 0.1-second AP values.
0 Percent difference = (Approach 1 - Approach 2) / Approach 2 * 100
Turbulence (%) = (maximum - minimum) / mean * 100.
12-7
-------
Table 12-6. Comparison of the Average AP Values from the Electronic Transducer
Calculated in Two Ways and TurbulenceCoal Creek and Columbia Field
Tests
Site
Coal Creek
Columbia
Avg. AP Values from the Electronic Transducer
Approach 1*
1.745
2.234
Approach 2b
1.738
2.231
%Diff.c
0.44
0.14
Turbulence (%)d
49.21
20.04
a Straight averages of the 0.1-seeond AP values.
.b Squares of the average of the square root of each 0.1 -second AP values.
0 Percent difference = (Approach 1 - Approach 2) / Approach 2 * 100
d Turbulence (%) = (maximum - minimum) / mean * 100.
summarizes the means and standard deviations of these percent differences. The mean AP values
calculated from the electronic transducer readings are also listed to provide the magnitude of the
pressure. A statistical test called the t-test was used to determine if the differences between the
pressure readings taken by the manual and electronic devices are statistically significant. The t-test
yields a "p-value" for each pressure difference. The smaller the p-value, the higher the probability
that two values are statistically distinguishable. Typically, when choosing the type I error rate1 of
a=0.05, a p-value smaller than 0.05 is interpreted to mean that values are statistically different. For
these analyses, a type I error rate of a = 0.05 was chosen. P-values for each comparison are listed
in Table 12-7.
In addition, data were examined visually using box-and-whisker plots2 of AP values. Figures 12-1
through 12-3 depict AP values obtained by the electronic transducer and manual devices using
different probe types at different velocity conditions. Summary statistics (average, median,
minimum, maximum, standard deviation, and interquartile range) on AP values are also provided
in Table 12-8.
Examination of Tables 12-7 and 12-8, as well as Figures 12-1 through 12-3, lead to the following
observations:
ซ The average percent difference in AP values between the inclined manometer and the
electronic transducer ranges from -1.68% to 0.42% for a velocity of 30 fps, from -1.14% to
-0.06% for a velocity of 60 fps, and from -1.25% to -0.26% for a velocity of 90 fps.
In this application, a type 1 error rate is the probability of concluding that two instruments produce different
pressure readings, when, in fact, the readings are the same.
The box-and-whisker plot is a useful tool for displaying the distribution of a data set. The plots show the median
(middle horizontal line), the 25* and the 75th percentiles (lower and upper horizontal lines of the boxes), and the
minimum and maximum values. Potential outliers are indicated by asterisks (*) or other plotting symbols and the
criterion for identifying the potential outliers is any value beyond the distance of 1.5 times the interquartile range
(75th percentile value minus the 25* percentile value) from the box.
12-8
-------
Table 12-7. Percent Difference from Electronic Device in PressureNIST Data Set
Manual
Devices
Manometer
Magnehelic
Probe
DAT
TypeS
Modified Kiel
Prandtl
French
Spherical A
Spherical B
Autoprobe
DAT
TypeS
Modified Kiel
Prandtl
French
Spherical A
Spherical B
Autoprobe
Velocity = 30 fps
Mean AP
from
Electronic
Device
(in.H20)
0,213
0.360
0.370
0.210
0.414
0.187
0.193
0.333
0.213
0.360
0.370
0.210
0.414
0.187
0.193
0.333
Percent Difference8 in AP
(in. H2O)
Mean
(%)
0.42
-0.90
-0.94
0.09
-0.16
-1.68
-1.62
-1.49
-1.00
-0.96
-0.73
-0.76
-2.36
0.38
-0.23
-1.54
s.d.
(%)
1.05
0.55
0.28
0.99
0.43
1.94
1.44
0.26
1.72
1.51
1.09
1.75
1.14
1.82
1.81
1.15
p_value
0.0000
0.0000
0.0000
0.5569
0.0221
0.0000
0.0000
0.0000
0.0000
0.0003
0.0001
0.0100
0.0000
0.0000
0.0001
0.0000
Velocity = 60 fps
Mean AP
from
Electronic
Device
(in. HjO)
0.716
1.236
1.419
0.790
1.549
0.698
0.678
1.246
0.716
1.236 '
1.419
0.790
1.549
0.698
0.678
1.246
Percent Difference" in AP
(in. HjO)
Mean
(%)
-0.34
-0.47
-0.23
-0.06
-0.07
-0,88
-0.67
-1.14
0.77
-0,97
-1.65
-0.44
-2.13
0.72
1.05
1.52
s.d.
(%)
1.10
0.22
0.25
0.36
0.23
1.02
0.94
0.11
1.58
0.42
0.35
0.47
0.38
2.68
2.66
0.46
p_value
0.0000
0.0000
0.0000
0.2770
0.0522
0.0000
0.0000
0,0000 -
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
Velocity = 90 fps
Mean AP
from
Electronic
Device
(in. H2O)
1.684
2.882
3.340
1.847
3.586
1.580
1.543
2.900
1.684
2.882
3.340
1.847
3.586
1,580
1.543
2.900
Percent Difference3 in AP
(in. HjO)
Mean
(%)
-0.38
-0.69
-0.44
-0.26
-0.27
-0.47
-0.59
-1.25
-1.53
-0.70
-0.55
-2.89
-0.57
-1.22
-1.23
1.29
s.d.
(%)
1.53
0.15
0.19
0.14
0.19
2.97
0.81
0.10
0.78
0.44
0.26
0.23
0.25
1.06
1.10
0.43
p_value
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
Percent difference = (manual - electronic) / electronic * 100.
p-va!ue for paired t-test; any value less than 0.05 indicates a statistically significant test result.
-------
0,44-
0.42-
0.40
0,38-
0.36
0.34
0.32-
a 0.30
Jl 0.28 :
03
Q 0.26
0.24
0.22
0.20-
0.18-
0.16
0,14-
0.12-
T Maximum
rh 75 %-ite
U Median
U 2S %-Hป
i- Minimum
r"
Fl
T
j.
/ /
r 1
H
- .
Mag. ctf^
I_l\3w.
U ' 59i
H Q y
\
\
Mano.
r 1
i
g |
i " x
T g T
ง 1
^ I
1
|
r
1
.
.
* i i
i
DAT Type 8 Mod Kiel Spherical A Spherical H Prandtf French Aulaprobe
Probe Type
Figure 12-1. Comparison of AP across probe type at 30 fps using NIST data.
-------
-------
3
Maximum
75 %-Ito
Median
25%-He
Minimum
Q
2-
8
6
1
Mag. E^ Mano.
T T
5 5
DAT Type S Mod Kiel Spherical A Spherical B Prandtl French Autoprobe
Probe Type
Figure 12-3. Comparison of AP across probe type at 90 fps using NIST data.
-------
Table I2-8a. Summary Statistics8 on APNIST Data at Velocity 30 fpsb
Probe
DAT
TypeS
Mod. Kiel
Prandtl
French
Spherical A
Spherical B
Autoprobes
Average AP
(in. H2O)
Mag.
0.211
0.357
0.368
0.209
0.404
0.187
0.192
0.328
Elec.
0.213
0.360
0.370
0.210
0.414
0.187
0.193
0.333
Mano
0.214
0.357
0.367
0.210
0.413
0.183
0.190
0.328
Med. AP
(in. H2O)
Mag.
0.213
0.356
0.369
0.208
0.404
0.196
0.190
0.329
Elec.
0.216
0.356
0.370
0.209
0.415
0.195
0.191
0.333
Mano
0.216
0.352
0.367
0.209
0.413
0.193
0.190
0.328
Min. AP
(in. H2O)
Mag.
0.170
0.345
0.359
0.203
0.395
0.139
0.130
0.318
Elec.
0.174
0.353
0.365
0.208
0.408
0.139
0.134
0.326
Mano
0.171
0.349
0.361
0.206
0.406
0.135
0.128
0.321
Max. AP
(in. H2O)
Mag.
0.250
0.375
0.375
0.220
0.413
0.214
0.251
0.339
Elec.
0.256
0.375
0.376
0.217
0.420
0.217
0.258
0.341
Mano
0.255
0.370
0.374
0.218
0.420
0.212
0.257
0.337
S.D. AP
(in. H2O)
Mag.
0.019
0.009
0.004
0.005
0.005
0.021
0.028
0.006
Elec.
0.020
0.008
0.004
0.003
0.004
0.022
0.029
0.005
Mano
0.019
0.008
0.004
0,004
0.004
0.022
0.030
0.005
IQRAP
(in. HjO)
Mag.
0.022
0.013
0.005
0.005
0.008
0.035
0.030
0.010
Elec.
0.024
0.011
0.008
0.004
0.007
0.038
0.034
0.007
Mano.
0.026
0.012
0.006
0.005
0.007
0.037
0.037
0.007
Med. = median, Min. = minimum, Max. = maximum, S.D. = standard deviation, IQR = interquartile range = 75* - 25* percentile.
Mag. = magnehelic gauge, Elce. = electronic transducer, Manor = manometer.
-------
Table D-8b. Summary Statistics' on APNIST Data at Velocity 60 fpsb
Probe
DAT
Type S
Mod Kiel
Prandtl
French
Spherical A
Spherical B
Autoprobes
Avg. AP
(in. H2O)
Mag.
0.722
1.224
1.395
0.786
1.516
0.703
0.685
1.265
Elec.
0.716
1.236
1.419
0.790
1.549
0.698
0.678
1.246
Mano.
0.714
1.231
1.415
0.789
1.548
0.692
0.674
1.232
Med. AP
(in. HjO)
Mag.
0.730
1.217
1.393
0.782
1.519
0.730
0.711
1.260
Elec.
0.728
1.228
1.419
0.784
1.550
0.723
0.703
1.247
Mano.
0.723
1.223
1.416
0.783
1.549
0.717
0.701
1.232
Min. AP
(in. H2O)
Mag.
0.609
1.198
1.383
0.774
1.490
0.480
0.480
1.225
Elec.
0,609
1.212
1.410
0.780
1.526
0.505
0.501
1.208
Mano.
0.601
1.205
1.402
0.778
1.525
0.496
0.493
1.194
Max. AP
(in. H2O)
Mag.
0.799
1.266
1.412
0.803
1.534
0.867
0.779
1.345
Elec.
0.790
1.278
1.432
0.812
1.566
0.810
0.767
1.315
Mano.
0.789
1.270
1.429
0.813
1.566
0.860
0.764
1.302
S.D. AP
(in. H2O)
Mag.
0.050
0.021
0.008
0.010
0.014
0.081
0.068
0.030
Elec.
0.049
0.024
0.006
0.012
0.012
0.081
0.071
0.029
Mano.
0.050
0.023
0,006
0.013
0.013
0.082
0.071
0.028
IQRAP
(in. H2O)
Mag.
0.078
0.024
0.010
0.015
0.024
0.114
0.112
0.021
Elec.
0.073
0.035
0.010
0.016
0.019
0.123
0.117
0.024
Mano.
0.073
0.033
0.007
0.018
0.021
0.120
0.116
0.021
tjj
4+
Med. = median, Min. = minimum, Max. = maximum, S.D. = standard deviation, IQR = interquartile range = 75* - 25* percentile.
Mag. = magnehelic gauge, Elec. = electronic transducer, Mano. = manometer.
-------
Table I2-8c. Summary Statistics" on AP-NIST Data at Velocity 90 fps"
Probe
DAT
TypeS
Mod Kiel
Prandtl
French
Spherical A
Spherical B
Autoprobes
Avg. AP
(in. HjO)
Mag.
1.658
2.862
3.322
1.794
3.566
1.559
1.523
2.938
Elec.
1.684
2.882
3.340
1.847
3.586
1.580
1.543
2.864
Mano.
1.678
2.863
3.326
1.843
3.576
1.571
1.534
2.864
Med. AP
(in. H2O)
Mag.
1.657
2.837
3.324
1.782
3.573
1.626
1.568
2.940
Elec.
1.680
2.866
3.340
1.834
3.594
1.647
1.590
2.913
Mano.
1.675
2.846
3.328
1.830
3.579
1.637
1.581
2.874
Min. AP
(in. BjO)
Mag.
1.365
2.798
3.314
1.777
3.470
1.169
1.159
2.870
Elec.
1,386
2.822
3.323
1.826
3.513
1.170
1.159
2.835
Mano.
1.345
2.798
3.302
1.818
3.505
1.161
1.148
2.802
Max. AP
(in. H2O)
Mag.
2.008
2.973
3.334
1.841
3.626
1.811
1.729
3.000
Elec.
2.001
2.978
3,357
1.894
3.644
1.810
1.764
2.995
Mano.
2.095
2.958
3.347
1.891
3.639
1.860
1.758
2.912
S.D. AP
(in. HjO)
Mag.
0.112
0.055
0.008
0.022
0.044
0.172
0.154
0.045
Elec.
0.116
0.058
0.012
0.026
0.042
0.181
0.162
0.038
Mano.
0.120
0.056
0.013
0.028
0.046
0.178
0.162
0.036
IQRAP
(in. H2O)
Mag.
0.117
0.068
0.010
0.032
0.078
0.258
0.253
0.090
Elec.
0.142
0.085
0.025
0.036
0.078
0.263
0.262
0.064
Mano.
0.130
0.074
0.020
0.040
0.082
0.248
0.265
0.054
Mcd. = median, Min. = minimum, Max. = maximum, S.D. = standard* deviation, IQR = interquartile range = 75th - 25* percentile.
Mag. = magnehelic gauge, Elec. = electronic transducer, Mano. = manometer.
-------
Except for the DAT and Prandtl probes at 30 fps where the inclined manometer provides
larger values than the electronic transducer on average, the inclined manometer reads lower
than the electronic transducer on average for every probe at all velocities.
A statistically significant difference between the inclined manometer and the electronic
transducer was observed for every probe at every velocity condition except for the Prandtl
at 30 and 60 fps, and the French at 60 fps. However, the differences were often too small
to have practical consequences. (For example, the mean difference in AP for the modified
Kiel at 60 fps is -0.23%, which is statistically significantly different from zero (p-
value-0.0000), but the difference is so small that it is of no practical consequence.)
ซ The average percent difference in AP values between the magnehelic gauge and the
electronic transducer ranges from -2.36% to 0.38% for a velocity of 30 fps, from -2.13% to
1.52% for a velocity of 60 fps, and from -2.89% to 1.29% for a velocity of 90 fps. These
ranges are larger than those between the inclined manometer and the electronic transducer.
The magnehelic gauge generally produces smaller pressure readings than the electronic
transducer at 30 and 90 fps, except for Spherical A at 30 fps and the Autoprobe at 90 fps.
At 60 fps, half of the probes showed lower readings from the magnehelic than from the
electronic transducer.
A statistically significant difference between the magnehelic gauge and the electronic
transducer was observed for every probe at every velocity condition. Again, the differences
were often too small to have practical consequences.
Swirl Wind Tunnel Tests (FERCo Swirl Tunnel Data Set)
In the swirl wind tunnel tests performed at FERCo, the AP values were measured at three different
velocity conditions (1,2, and 3), at three test points (Ib, 5a, and inlet), on three runs (1,2, and 3),
by three testers. A Type S probe (EPA Probe S-l 1) was used for all measurements. To determine
how the pressure measurements from manual devices differ from those from the electronic
transducers, percent differences between the manual devices (inclined manometer and magnehelic
gauge) and the electronic transducer were calculated for each set of paired measurements.
Table 12-9 summarizes the means and standard deviations of these percent differences at each
velocity condition and each test point. In addition, the mean AP values from the electronic
transducer are also presented to provide a sense of the magnitude of the pressure measurements.
To compare the pressure readings from the manual and electronic devices, a paired t-test was
performed in the same manner as the one described for the NIST data analysis. The p-value of the
t-test is also included in Table 12-9.
In addition, AP data were examined visually using box-and-whisker plots. Figures 12-4 through
12-6 depict AP values obtained by electronic transducer and manual devices using different probe
types at different velocity conditions. Summary statistics (average, median, minimum, maximum,
standard deviation, and interquartile range) on AP values are also provided in Table 12-10.
12-16
-------
Table 12-9. Percent Difference* Between Manual and Electronic Transducers in
PressureFERCo Swirl Wind Tunnel Data
Velocity
1
2
3
Test Point
Location
Ib
5a'
inlet
Ib
5a
inlet
Ib
5a
inlet
Devices
Inclined
Magnehelic
Inclined
Magnehelic
Inclined
Magnehelic
Inclined
Magnehelic
Inclined
Magnehelic
Inclined
Magnehelic
Inclined
Magnehelic
Inclined
Magnehelic
Inclined
Magnehelic
Mean AP from
Electronic
Transducer1*
(in. H2O)
1.773
1.791.
1.528
1.538
1.531
1.513
1.428
1.443
1.234
1.221
1.212
1.240
1.152
1.148
0.980
0.965
0.997
0.991
Percent Difference8 in AP (in. H2O)
Mean (%)
0.71
-0.09
-0.43
-2.46
-1.96
-0.15
0.02
1.27
-0.65
-0.78
1.18
-0.05 "
1.52
2.12
-0.56
-0.96
-0.76
-1.28
S.D.(%)
1.48
1.50
1.14
1.64
0.89
3,08
0.93
1.91
0.85
1.89
2.62
2.48
2.09
3.31
1.33
1.86
2.73
2.93
p-valuec
0.1996
0.8434
0.2771
0.0020
0.0002
0.9237
0.9753
0.0783
0.0517
0.2459
0.1962
0.9308
0.0568
0.0924
0.2432
0.1616
0.4347
0.2018
2 Percent Difference = (Manual - Electronic) / Electronic * 100.
AP values from electronic transducer were calculated as the squares of the averages of the 0.1-second sqrt(AP) values over
the same period as the manual device measurements were observed.
0 p-value for paired t-test; any value less than 0.05 indicates a statistically significant test result.
12-17
-------
5
0>
Q
1.86
1.84-
1.82-
1.80
1.78
1.76
1.74
1.72
1.70
1.68
1.64
1.62
1.60
1.58
1.56
1.54
1.52
1.50
1.48
1.46
1.44
1.42
1.40-
t
T Maximum
rh 75 %-lto
U Median
U 25%-to
I Minimum ฐ
*
/ I
\
I 1 \
Bee Inc. Bee Mag.
(1) (M)
* 0
...
T T "
M ฐ 1
U H T U
i - ID
*
o
[]
J
-L
1b
5a
Location
inlet
Squares of the averages of the 0.1 -second sqrt(delta_p) values for the electronic device were used.
Figure 12-4. Comparison of AP across probe type at velocity condition 1 using FERCo swirl tunnel data.
-------
Q
1.50
1.48
1.46
1.44
1.42 -\
1.40
1.38
1.36
1.34
1.32
1.30 H
1.28
1.26
1.24
1.22
1.20
1.18
1.16
1.14-
1.12
1.10
1.08
1.06
Maximum
75 %-Ite
Median
25 %-t*
Minimum
Elec
(M)
Mag.
*
*
1b
5a
Location
inlet
Squares of the averages of the 0.1 -second sqrt(delta_p) values for the electronic device wore used.
Figure 12-5. Comparison of AP across probe type at velocity condition 2 using FERCo swirl tunnel data.
-------
1.26-
1.24
1.22
1.20
1.18
1.16
1.14
1.12
1.10
1.08
1.06
1.04
1.02
1.00
0.98
0.96
0.94
0.92
0.90
*
n T
B 0
I
* i
*ฃ
/ r /
T Maximum
H-| 75 %-lte
U Median
U 25 %-ile
1- Minimum
/ / / \
^j?0 Inc. Bee Mag.
' ' (M) T
I I I
T ฐ n
H n I y
i y u
I 11
J-
,
1b 5a inlet
Location
Squares of the averages of the 0.1second sqrt(delta_p) values for the electronic device were used.
Figure 12-6. Comparison of AP across probe type at velocity condition 3 using FERCo swirl tunnel data.
-------
Table 12-10. Summary Statistics8 on AP-
the Square Root of AP from
FERCo Swirl Wind Tunnel Data (Squares of the Averages of
Electronic Transducer)1"'0
Velocity
1
2
3
Test
Point
Location
Ib
5a
inlet
Ib
5a
inlet
Ib
5a
inlet
Manual
Devices
Incline
Magnehelic
Incline
Magnehelic
Incline
Magnehelic
Incline
Magnehelic
Incline
Magnehelic
Incline
Magnehelic
Incline
Magnehelic
Incline
Magnehelic
Incline
Magnehelic
Avg. AP
(in. H2O)
Elec.
1,773
1,791
1.528
1.538
1.531
1.513
1.428
1.443
1,234
1.221
1.212
1.240
1.152
1.148
0.980
0.965
0.997
0.991
Man.
1.786
1.789
1.521
1.500
1.501
1.511
1.428
1.461
1.226
1.211
1.227
1.239
1.170
1.172
0.974
0.956
0.990
0.978
Med. AP
(in. H2O)
Elec.
1,777
1,800
1.535
1.536
1.521
1.509
1.432
1.455
1.230
1.203
1.227
1.250
1.155
1.149
0.983
0.960
1.001
1.007
Man.
1.790
1.800
1.520
1.500
1.500
1.500
1.420
1.450
1.220
1.200
1.250
1.250
1.180
1.150
0.980
0.950
1.000
1.000
Min. AP
(in. H2O)
Elec.
1.697
1.735
1.494
1.505
1.494
1.416
1.370
1.377
1.213
1.188
1.097
1.156
1.122
1.106
0.960
0.941
0.942
0.918
Man.
1.700
1.750
1.500
1.450
1.460
1.400
1.380
1.400
1.200
1.150
1.070
1.150
1.100
1.100
0.950
0.950
0.930
0.900
Max. AP
(in. H2O)
Elec.
1.829
1.823
1.547
1.567
1.605
1.674
1.469
1.483
1.274
1.262
1.269
1.307
1.177
1.182
0.998
0.989
1.031
1.032
Man.
1.840
1.850
1.540
1.550
1.560
1.750
1.480
1.500
1.260
1.250
1.300
1.300
1.200
1.250
1.010
1.000
1.050
1.000
S.D. AP
(in. H2O)
Elec.
0.040
0.034
0.018
0.018
0.033
0.078
0.034
0.036
0.021
0.030
0.052
0.042
0.019
0.024
0.013
0.014
0.028
0.038
Man.
0.041
0.033
0.014
0.025
0.030
0.105
0.033
0.033
0.024
0.033
0.069
0,042
0.028
0.044
0.017
0.017
0.042
0.036
IQRAP
(in. H2O)
Elec.
0.056
0.055
0.029
0.020
0.026
0.060
0.061
0.042
0.016
0.046
0.048
0.044
0.012
0.020
0.015
0.018
0.036
0.044
Man.
0.030
0.050
0.020
0.000
0.010
0.050
0.040
0.050
0.030
0.050
0.030
0.000
0,010
0.050
0,020
0.000
0.070
0.050
-------
Examination of Tables 12-9 and 12-10, as well as Figures 12-4 through 12-6 provide the following
observations:
At all three velocities, pressure measurements at Test Point Ib are generally higher than
those obtained at Test Point 5a and the inlet.
At Test Point 5a and the inlet, the pressure measurements obtained by the inclined
manometer and the magnehelic gauge are sometimes identical across the three runs and the
' three testers.
Across all three velocities, the manual devices tend to produce smaller pressure readings on
average most of the time than the electronic transducer except at Test Point Ib.
* The average percent difference in AP values between the electronic transducer and the
manual devices ranges from -2.46% to 2.12% across all velocity conditions and test points.
ซ Pressure measurements obtained at velocity conditions 2 and 3 at all test points do not
statistically significantly differ between the electronic transducer and the manual devices.
At velocity condition 1, pressure measurements with the magnehelic gauge are significantly
smaller than those obtained by the electronic transducer at Test Point 5 a; at the inlet, the
inclined manometer tends to produce smaller measurements than the electronic transducer;
and at Test Point Ib, the pressure measurements do not differ between the electronic
transducer and the manual devices.
EPA Field Tests (Radian Data Set)
For the EPA field tests conducted by Radian, pressure measurements obtained by 1/4" Type S
probe, 3/8" Type S probe, 3D probe, and modified Type S probe were included in this analysis. The
tests were conducted at one velocity. To determine how the pressure measurements from the
manual devices differ from those from the electronic transducer, the percent differences between
the manual devices (inclined manometer and magnehelic gauge) and the electronic transducer were
calculated for each set of paired measurements. Table 12-11 summarizes the mean and standard
deviation of these percent differences for each probe type. In addition, the mean AP values from
the electronic transducer were also calculated to provide information on the magnitude of the
pressure measurements. To compare the pressure readings from the manual and electronic devices,
a paired t-test was performed as described for the NIST data analysis. The p-value for the t-test is
also included in Table 12-11.
In addition, AP data were examined visually using box-and-whisker plots. Figure 12-7 depicts AP
values obtained by the electronic transducer and manual devices using different probe types.
Summary statistics (average, median, minimum, maximum, standard deviation, and interquartile
range) on AP values are also provided in Table 12-12.
12-22
-------
Table 12-11. Percent Difference from Electronic Device in PressureRadian Field Data,
Matrix B
Manual Devices
Manometer
Magnehelic
Probe
1/4" Type S
3/8" Type S
3D
ModS'
1/4" Type S
3/8" Type S
3D
ModS
Mean AP from
Electronic Device
(in. H2O)
0.734
0,736
0.428
0.623
0.734
0.736
0.428
0.623
Percent Difference in AP
(in. H2O)
Mean (%)
0.87
1.06
-5.64
-2.06
3.66
2.27
-2.30
0.60
S.D. (%)
4.84
2.76
7.55
4.03
4.74
3.48
4.40
3.77
p-valuea
0.3873
0.0598
0.0001
0.0040
0.0001
0.0004
0.0034
0.3915
a p-value for paired t-test; any value less than 0.05 indicates a statistically significant test result.
Examination of Tables 12-11 and 12-12, as well as Figure 12-7, results in the following observations:
The average percent difference in AP values between the inclined manometer and the electronic
transducer ranges from -5.64% for the 3D probe to 1.06% for the 3/8" Type S probe, and the
average percent difference in AP values between the magnehelic gauge and the electronic
transducer ranges from -2.30% for the 3D probe to 3.66% for the 1/4" Type S probe.
The manual devices produce higher pressure readings on average than the electronic transducer
for the 1/4" Type S probe and 3/8" Type S probe, and smaller pressure measurements for the
3D probe.
The inclined manometer produces significantly smaller pressure readings on average than the
electronic transducer with the 3D and modified S probes; no significant differences were
observed for the Type S probes. The magnehelic gauge provides significantly larger readings
than the electronic transducer on average for the 1/4" Type S and 3/8" Type S probes. A
significant difference was also observed for the 3D probe. No significant differences were
observed for the modified S probe between the magnehelic gauge and the electronic transducer.
EPRI Field Tests (Coal Creek and Columbia Data Sets)
In the EPRI-sponsored field tests at Coal Creek and Columbia conducted by FERCo, several probe
types were used to collect the data. Only data obtained by Type S probes were included in this
analysis. Pressure measurements were made only with electronic transducers and magnehelic
gauges.
12-23
-------
1.0-
0.9
0.8
0.7
& 0.6
CD
Q
0.5
0.4
0.3
02
Mag.
/
Elc
ซ.
Mano.
in
1 _L
III
T
* ฐ ft 4 s
] I LJ
Y Maximum 1
rh 75 %-He
U Median
U 25 %-lte
i Minimum
1/4 S 3/8 S 3D
Probe Type
Figure 12-7, Comparison of AP across probe type using Radian data.
Mod S
-------
Table 12-12. Summary Statistics" on APRadian Field Data, Matrix Bb
Probe
1/4" Type S
3/8" Type S
3D
ModS
Avg. AP
(in. H2O)
Mag.
0,760
0.751
0.418
0.626
Elec.
0.734
0.736
0.428
0.623
Mano.
0.739
0.743
0.404
0.610
Med. AP
(in. H2O)
Mag.
0.765
0.750
0.410
0.620
Elec.
0.730
0.735
0.425
0.630
Mano.
0.740
0.750
0.410
0.615
Min. AP
(in. H2O)
Mag.
0.66
0.50
0.35
0.53
Elec.
0.61
0.44
0.36
0.53
Mano.
0.64
0.45
0.28
0.53
Max, AP
(in.HjO)
Mag.
0.88
0.90
0.47
0,72
Elec.
0.86
0.90
0.48
0.70
Mano.
0.84
0.92
0.46
0.71
S.D. AP
(in. HZO)
Mag.
0.057
0.083
0.029
0.045
Elec.
0.062
0.090
0.030
0.044
Mano.
0.054
0.084
0,041
0.047
IQRAP
(in. H2O)
Mag.
0.100
0.100
0,050
0.060
Elec.
0.095
0.110
0.040
0.065
Mano.
0.090
0.100
0.065
0.070
M
K>
Med. = median, Min. = minimum, Max. = maximum, S.D. = standard deviation, IQR = interquartile range = 75 - 25 percentile.
Mag. = magnehelic gauge, Elec. = electronic transducer, Mano. = manometer.
-------
12-13 summarizes the mean and standard deviation of these percent differences for each field test.
In addition, the mean AP values from the electronic transducer was also calculated to provide
information on the magnitude of the pressure measurements. To compare the pressure readings
from the manual and electronic devices, a paired t-test was performed in the same manner as
described for the NIST data analysis. The p-values for the t-test are also included in Table 12-13.
Table 12-13. Percent Difference* Between Manual and Electronic Transducers in
Pressure (in. H2O)Coal Creek and Columbia Field Tests
Site
Coal Creek
Columbia
Mean AP from
Electronic Transducer11
(in. H2O)
1.738
2.231
Percent Difference in AP (in. H2O)
Mean (%)
3.26
0.58
S.D. (%)
4.84
1.98
p-va!uec
0.0173
0.2414
Percent Difference = (Manual - Electronic) / Electronic * 100.
AP values from electronic transducers were calculated as the squares of the average of each 1-second sqrt(AP) values
over the same period as the manual device measurements were observed.
c p-value for paired t-test; any value less than 0.05 indicates a statistically significant test result.
In addition, AP data were examined visually using box-and-whisker plots. Figure 12-8 depicts AP
values obtained by the electronic transducer and the magnehelic gauge for each field test. Summary
statistics (average, median, minimum, maximum, standard deviation, and interquartile range) on
AP values are also provided in Table 12-14.
Examination of Tables 12-13 and 12-14, as well as Figure 12-8, results in the following observations:
ซ At Coal Creek, AP values from the electronic transducer are generally lower than those from
the manual device; at Columbia, although the electronic transducer values are also lower
than the manual device readings, the differences are small.
At Coal Creek, the pressure values from the electronic transducer differ significantly from
those from the manual device. At Columbia, statistically significant differences in the two
types of pressure devices could not be demonstrated.
12-26
-------
ฐ1
2.8
2.7
2.6
2.5
2.4
2.3
2.2
2.1
2.0
1.9
1.8
1.7
1.6
1.5
-r Maximum
fJ-i 75 %-lte
U Median
U 25 %-He
1 Minimum
Elec
Manual
Tronic \
I
Coal Creek
Columbia
Site
Squares of the averages of the one-second sqrt(delta_p) values for the electronic transducer were used
Figure 12-8. Comparison of AP across probe type using FERCo field data at Coal Creek and Columbia.
-------
Table 12-14. Summary Statistics8 on APFERCo (Coal Creek and Columbia) Data,
Square Root Averages1"
Site
Coal Creek
Columbia
Avg. AP
(in. H2O)
Elec.
1.738
2.231
Man.
1.794
2.244
Med. AP
(in. H20)
Elec.
1.757
2.272
Man.
1.750
2.300
Min. AP
(in. H2O)
Elec.
1.536
1.695
Man.
1.600
1.700
Max. AP
(in. HjO)
Elec.
1.904
2.756
Man.
2.000
2.800
S.D. AP
(in.HjO)
Elec.
0.116
0.381
Man.
0.141
0.384
IQRAP
(in.H2O)
Elec.
0.157
0.728
Man.
0.250
0.775
a Elec. = electronic transducer, Man. = manual pressure device.
Med. = median, Min, = minimum, Max. = maximum, S.D. = standard deviation, IQR = interquartile range = 75* -
25* percentile.
AP values from electronic transducers were calculated as the squares of the averages of the 1-second sqrt(AP) values
over the same period as the manual device measurements were observed.
12-28
-------
Appendix J.
Wall Effects Data
-------
This Page Intentionally Left Blank
J-2
-------
Exhibit J-l. Criterion for Excluding Baseline Autoprobes Wall Effects Data Due to
Change in Load (Velocity) Between Original and Wall-Effects Runs.
Wall effects data collected under nonsteady-state load conditions were excluded from analysis in the
wall effects study according to the following procedure.
Velocity values for traverse points at the same distance from the stack wall in the baseline run and
the wall effects run were compared for each port, (If there was no traverse point in the wall-effects
run at the same distance as or within 0.25 in. of a point in the baseline run, the point velocity values
in the wall effects ran at the next larger and smaller 1-in. distances were averaged for comparison
to the value in the baseline traverse.) The percent difference in point velocity between the baseline
rim and the wall effects run was calculated for each port and averaged across all four ports. If the
average percent difference across all four ports in any given run exceeded ฑ8%, all data for that run
were excluded from analysis. The ฑ8% criterion was developed through examination of baseline
and wall-effects runs conducted at DeCordova, Lake Hubbard, and Homer City, and is slightly
greater than the maximum percent difference (6.2%) observed for any single port for all baseline and
wall-effects runs conducted under steady load conditions at these sites.
J-3
-------
Exhibit J-2. Example Calculation of Near-Wall Replacement Velocity
Wall Effects Run 21 - DAT Probe
PORT C, Test Team 3
Stack Area: 57255.5 sq, in.
1
2
3
4
5a
5b
Radius: 135 in.
(A)
Distance
from wall
(inches)
d=
d=
d=
d=
d=
,-J,,n,
d=
d=
d=
d=
d=
d=
d=
d=
d=
^i .......
d=
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
(B)
Axial vel.
V-d
ft/sec
52,42
63.85
72.42
72.02
L 72.61
75.16
80.61
81.75
80.67
81.90
82.19
82.89
83.29
84.84
85.13
84.48
85.41
(C)
Decay vel.
avg of d, d-1
26.21
58.14
68.14
72.22
72,31
73.89
77.89
81.18
81.21
81.28
82.04
82.54
83.09
84.06
84.99
84.81
84.94
pi =3.14159
(D)
(E)
Intermediate
calculations
pi(r-d+1)A2
57255.48
56410.39
55571.59
54739.06
53912.83
53092.87
52279.20
51471.81
50670.71
49875.88
49087.34
48305.09
47529.12
46759.43
45996.02
45238.90
44488.06
pi(r-d)A2
56410.39
55571.59
54739.06
53912.83
53092.87
52279.20
51471.81
50670.71
49875.88
49087.34
48305.09
47529.12 -*
46759.43
45996.02
45238.90
44488.06
43743.50
Total near-wall volumetric flow (total of column G)
(F)
Area of
segment
(col D - E)
845.09
838.80
832.52
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
i
(G)
Vol. flow
in segment
(col C X F)
22150.30
48765.46
56726.89
59672.17
59294.99
60119.46
62884.81
65034.92
64549.62
64096.23
64176.93
64046.36
63952.31
64174.02
64344.14
63676.14
63245.78
1010910.51
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (17.54 in)
b) Total area in remainder of near-wall equal area segment
(This is pi*(r-dlast)A2 - 0.75pi*rA2)
Multiply a) by b)
85,22
801.85
68334.05
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line 5a by 0.25pi*rA2. This is the substitute velocity value, V.
1079244.6
75.40
J-4
-------
Exhibit J-3. DeCordova.
Seventeen wall effects tests were conducted at DeCordova under steady load conditions during the
daytime. The results of these tests are reported in the series 7 tables in Appendix A of the
DeCordova site data report. Seven of the tests were performed using manual probes. Four copies
of each of five types of manual probes (Type S straight-up and yaw-nulled, DAT, modified Kiel,
Prandtl, and French) were used to determine wall effects in the first six manual probe tests. Because
two spherical probes had been damaged during earlier non-wall effects tests, the remaining two
operational spherical probes and two DAT probes were used in the seventh test (designated by
footnote "a" in Table J-l in this appendix). Due to the offset positions of the impact and wake
pressure ports, it was not possible to obtain accurate measurements at distances closer than 4 in. from
the stack wall using the modified Kiel probes.
The baseline Autoprobes were operated in the straight-up and yaw-nulled modes during tests
involving the Type S, DAT, modified Kiel, and spherical/DAT probes and in only the straight-up
mode during tests involving the one-dimensional Prandtl and French probes. This produced ten
additional wall effects results, counting both straight-up and yaw-nulled Autoprobe results as
separate tests.
Fourteen additional wall effects tests were conducted at DeCordova at night under nonsteady-state
load conditions, seven each using the baseline Autoprobes operated in the straight-up and yaw-nulled
modes. The data for these tests are reported in the tables in Appendix 0 of the DeCordova site data
report. Sixteen traverse points were sampled in the original traverses for all the day-time and over-
night tests.
J-5
-------
Exhibit J-4. Lake Hubbard.
At Lake Hubbard, three wall effects tests were conducted under steady load conditions during the
day: one using DAT probes and one each using the baseline Autoprobes operated in the straight-up
and yaw-nulled modes. The results of these tests are reported in the series 7 tables in Appendix A
of the Lake Hubbard site data report.
Eighteen additional wall effects tests were conducted at Lake Hubbard at night under nonsteady-state
load conditions, nine each using the baseline Autoprobes operated in the straight-up and yaw-nulled
modes. Sixteen traverse points were sampled in the original traverses for all the day-time and over-
night tests. The data for these tests are reported in the tables in Appendix O of the Lake Hubbard
site data report.
J-6
-------
Exhibit J-5. Homer City.
Day-time tests. Twenty-nine wall effects tests were conducted at Homer City under steady load
conditions during the daytime. The results of these tests are reported in the series 7 tables in
Appendix A of the Homer City site data report. Seven wall effects tests were conducted with manual
probes. Type S (straight-up and yaw-nulled), DAT, modified Kiel, and French probes were used in
five of these tests. Two different groups of four spherical probes were used in the other two tests.
Due to the offset positions of the impact and wake pressure ports, it was not possible to obtain
accurate measurements at distances closer than 4 in. from the stack wall using the modified Kiel
probes. Due to a slight extension of the sampling port nipple into the gas stream, it was not possible
to obtain accurate measurements at distances closer than 2 in. from the stack wall in Port A for the
French probes, in Ports A, C, and D, for the Type S probes, and in any port for the DAT and
spherical probes.
The baseline Autoprobes were operated concurrently during all tests involving the manual probes
at Homer City. Sixteen-point original traverses were conducted by the baseline Autoprobes for all
the manual probe tests. In addition, separate 12-point original traverses were conducted by the
baseline Autoprobes for the DAT probe test and for one of the two spherical probe tests; separate
20-point original traverses were performed by the baseline Autoprobes for all other manual probe
tests. The Autoprobes were operated in only the straight-up mode for the test involving the French
probe, and in the straight-up and yaw-nulled modes for all other manual probe tests. In all, this
produced an additional 22 wall effects test results.
Due to space limitations at the sampling site which kept them from withdrawing fully, the baseline
Autoprobes were unable to obtain measurements for sampling points closer than 5 in. from the stack
wall. In accordance with the procedure described in the "Method 2 Draft Revisions: Wall Effects
Velocity Procedure," the velocity measurements made at the 5-in. sampling point were used for all
sampling points closer to the stack wall in calculating the percent difference values reported in Table
J-l in this appendix.
Over-night tests. Fourteen wall effects tests were conducted at Homer City on the night of August
20 and the morning of August 21 under nonsteady-state load conditions, seven each using the
baseline Autoprobes operated in the straight-up and yaw-nulled modes. Sixteen traverse points were
sampled in the original traverses for all the over-night tests at Homer City.
On the night of August 22 and the morning of August 23, and again on the night of August 23 and
the morning of August 24, an additional 56 wall effects tests (28 straight-up and 28 yaw-nulled) were
conducted using the baseline Autoprobes and one of the Autoprobes that had been used in Matrix
A testing. In these tests, the baseline Autoprobes. performed 16-point Method 1 traverses while the
single additional Autoprobe took near-wall measurements in one of the manual sampling ports.
Because of its shorter shaft, the Autoprobe that had been used in Matrix A testing was able to take
near-wall measurements within 1 in. of the stack wall. The single Autoprobe took 26 sets of near-
wall measurements in Port D on the night of August 22-23 and 30 sets in Port C on the night of
August 23-24.
The data for these over-night tests are reported in the tables in Appendix O of the Homer City site
data report.
J-7
-------
Exhibit J-6. Conesville Unit 1 and 2 Stack.
Twelve wall effects tests were conducted at the Conesville Unit 1 and 2 shared stack during the day
under steady load conditions. The tests included three 16-point traverses using the baseline
Autoprobes operated in the straight-up and yaw-nulled modes and three 12-point traverses using the
baseline Autoprobes operated in each mode. Results of the tests are reported in the series J-2 tables
in this appendix.
J-8 -
-------
Exhibit J-7. Conesville Unit 3.
Twelve wall effects tests were conducted at Conesville Unit 3 during the day under steady load
conditions. The data for these tests are reported in the series J-3 tables in this appendix. The tests
included three 16-point traverses using the baseline Autoprobes operated in the straight-up and yaw-
nulled modes and three 12-point traverses using the baseline Autoprobes operated in each mode.
Due to space limitations at the sampling site which kept them from withdrawing fully, the baseline
Autoprobes were unable to obtain measurements for sampling points closer than 4 in. from the stack
wall. In accordance with the procedure described in the "Method 2 Draft Revisions: Wall Effects
Velocity Procedure," the velocity measurements made at the 4-in. sampling point were used for all
sampling points closer to the stack wall in calculating the percent difference values reported in series
J-3 tables and in Table J-l in this appendix.
J-9
-------
Exhibit J-8. Conesville Unit 5.
Twelve wall effects tests were conducted at Conesville Unit 5 during the day under steady load
conditions. These included separate 12- and 16-point traverses, using the baseline Autoprobes
operated in the straight-up and yaw-nulled modes. Ten additional wall effects tests were conducted
using the baseline Autoprobes operated in the straight-up and yaw-nulled modes at night under
nonsteady-state load conditions. Results of the tests are reported in the series J-4 tables in this
appendix. -
Due to an obstruction in the gas flow for Port D, only three of the four ports could be sampled at
Conesville Unit 5. Thus, each Method 1 traverse was only 75% complete. Three 75%-complete 16-
point original traverses (i.e., four points for each of three ports) and three 75%-complete 12-point
original traverses (i.e., three points for each of three ports) were performed by the baseline
Autoprobes for the Conesville Unit 5 day-time tests. Five 75%-complete 16-point original traverses
were performed for the over-night tests at Conesville Unit 5. While the data from these tests may
be technically suitable for the purpose of calculating the percent difference in volumetric flow due
to velocity drop-off close to the stack wall, the data were excluded from analysis because of concern
about the adequacy of a 75%-complete traverse to characterize the average cross-stack velocity.
J-IO
-------
Exhibit J-9. Picway.
Twelve wall effects tests were conducted at Picway during the day under steady load conditions
using the baseline Autoprobes operated in the straight-up and yaw-nulled modes. Separate 16- and
12-point original traverses were performed by the baseline Autoprobes for these tests. Results of the
tests are reported in the series J-5 tables in this appendix.
j-u
-------
Exhibit J-10. Mitchell.
Sixteen wall effects tests were conducted at Mitchell during the day under steady load conditions
using the baseline Autoprobes operated in the straight-up and yaw-nulled modes. These included
separate 16- and 12-point original traverses. Results of the tests are reported in the series J-6 tables
in this appendix. The results for six of the 12-point (three straight-up and three yaw-nulled) tests did
not meet the velocity stability criteria described in Exhibit J-1 in this appendix and were not included
in the results reported in Table J-l in this appendix.
7-72 -
-------
Exhibit J-ll. Titus.
Twelve wall effects tests were conducted at Titus during the day under nonsteady-state load
conditions using the baseline Autoprobes operated in the straight-up and yaw-nulled modes. These
included separate 16- and 12-point original traverses. The results for two 16-point (one straight-up
and one yaw-nulled) tests did not meet the velocity stability criteria described in Exhibit J-l in this
appendix and were not included in the results reported in Table J-l in this appendix.
Twenty additional wall effects tests were conducted at night under nonsteady-state load conditions,
ten each using the baseline Autoprobes operated in the straight-up and yaw-nulled modes. Sixteen
traverse points were sampled in the original traverses for the over-night tests at Titus. Results of the
tests are reported in the series J-7 tables in this appendix.
J-I3
-------
Table J-l. Summary of Percent Decrease in Average Velocity Between Original and Wall Effects-Adjusted Runs (for all stable velocity data)
Site
Stack
Mat'l
Statistics
Manual Type S
Straight-
Up
Yaw-
Nulled
Baseline Autoprobei
Day-Time
20 Point
Straight-
Up
Yaw-
Nulled
16 Point
Straight-
Yaw-
Nulled
12 Point
Straight-
Up
Yaw-
Nulled
Over-Night
16 Point
Straight-
Up
Yaw-
Nulled
DAT
Spherical
Modified
Kiel
Prandtl
French
DeCotdova
Steel
No. Runs
Average
-1.93%
-1.32%
-1.33%
Std. Dev.
0.06%
0.10%
1ฐ
-1.66%
-1.61%
-1.57%
-1.06%
1.46%
-1.59%
-1.13%
0.70%
0.74%
Lake
Hubbard
Steel
No. Runs
Average
-1.82%
-1.58%
-1.37%
-1.24%
-1.56%
Std. Dev.
0.98%
Homer City
Steel
No. Runs
Average
-2.09%
-2.08%
-0,71%
-0.93%
-0.61%
-1.65%
-1.21%
-0.59%
-0.27%
-0.81%
-0.68%
-0.20%
Std. Dev.
0.15%
0.14%
0.32%
0.19%
0.74%
0.42%
0.47%
Conesville
Unit 1/2
Brick
and
mortar
No. Runs
Average
-1.94%
-1.92%
Std. Dev,
0.24%
0.17%
0.12%
0.25%
Conesville
Unit3
Brick
and
mortar
No. Runs
Average
-1.50%
-1.63%
-6.03%
-6.19%
Std. Dev.
0.29%
0.18%
0.32%
0.48%
Conesvitle
UnitS
Brick
and
mortar
No. Runs
Average
-1.59%
-1.67%
-2.61%
-1.56%
-1.63%
Std. Dev.
0.89%
1.09%
0.90%
0.63%
0.52%
0.89%
Picway
Brick
and
mortar
No. Runs
Average
-1.95%
-2.37%
-2.53%
Std. Dev.
0.18%
0.23%
0.39%
0,40%
Mitchell
Brick
and
mortar
No. Runs
Average
-1.75%
-1.69%
-2.01%
-2.03%
Std. Dev.
1.83%
1.66%
Titus
Brick
and
mortar
No. Runs
3
10
10
Average
-2.71%
-2.90%
-2.84%
-3.19%
-1.77%
-2.04%
Std. Dev.
0.40%
0.33%
0.76%
0.83%
1.04%
a This value was derived from wall effects data that were collected using 2 DAT probes and 2 spherical probes. For the purposes of the round 2 analysis of Matrix A and B data
was calculated using only the spherical probe data, which were collected in Ports B and D. The % difference between the average baseline and adjusted velocities calculated using
(reported in Table 4-1). For the purposes of the round 2 analysis, this factor was assumed to be representative of the entire stack area.
presented in Section 4, a wall effects factor
only data from Ports B and D is -1.32%
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 1-2
UNITED SCIENCES AUTOPROBE TEST, 5/6/98
TABLE J-2. WALL EFFECTS VS. ORIGINAL (ORIG), OVERALL SUMMARY
Run
No.
1,3
2,3
5,6
5,7
8,9
8,10
Traverse Type
16 pt. straight-up
16pt. yaw-nulled
12 pt straight-up
12 pt. yaw-nulled
16 pt. straight-up
16pt. yaw-nulled
12 pt, straight-up
1 2 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
Avg. Velocity, ft/sec
Base i Adjusted
54.44
54.40
54.63
54.90
54.08
54.22
55.02
55.18
54.70
55.07
55.05
55.36
53.24
53.25
52.39
52.70
53.14
53.26
52.63
52.70
53.67
54.04
52.71
52.95
Difference
-1.20
-1.15
-2.24
-2.20
-0.94
-0.96
-2.39
-2.48
-1.03
-1.03
-2.34
-2.41
% Difference
-2.20%
-2.11%
-4.10%
-4.01%
-1.74%
-1.77%
-4.34%
-4.49%
-1.88%
-1.87%
-4.25%
-4.35%
TABLEJ2.WK4 J-15
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 1-2
UNITED SCIENCES AUTOPROBE TEST, 5/6/98
TABLE J-2A. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS *
16 PT. TRAVERSES
Port
Point
Run 1 (orig) - straight-up
Run 3 (wall) - straight-up
Difference
% Difference
Run 1 (orig) - yaw-nulled
Run 3 (wall) - yaw-nulled
Difference
% Difference
Run 6 (orig) - straight-up
Run 5 (wall) - straight-up
Difference
% Difference
Run 6 (orig) - yaw-nulled
Run 5 (wall) -jaw-nulled
Difference
% Difference
Run 9 (orig) - straigtit-up_
Run 8 (wall) - straight-up
Difference
% Difference _,
Run 9 (orig) - yaw-nulled
Run 8 (wall) - yaw-nulled
Port A
1
58.8
58.8
58.3
58.3
58.7
58.7
2 I 3
59.0
59.0
58.4
58.4
57.7
57.7
l_
58.2
58.2
59.4
_5U4~^
59.3
59.3
Difference I
% Difference I
58.1
58.1
58.2
58.2
58.6
58.6
55.7
55.7
56.8
56.8
56.4
56.4
56.2
56.2
57.1
57.1
57.7
57.7
4
47.7
41.7
-6.0
-12.6%
47.8
41.7
-6.1
-12.8%
47.0
41.7
-5.3
-11.3%
46.8
41.8
-5.0
-10.7%
47.0
41.3
-5.7
-12.1%
47.4
41.9
-5.5
-11.6%
PortB
5
57.9
57.9
58.1
58.1
58.8
58.8
59.0
59.0
59.3
59.3
6
58.5
58.5
58.0
58.0
57.8
57.8
57.8
57.8
58.5
58.5
t
I
59.8
59.8
58.8
58.8
7
57.9
57.9
57.5
57.5
56.9
56.9
57.7
57.7
58.0
58.0
58.1
58.1
8
50.8
47.4
-3.4
-6.7%
51.2
47.5
-3.7
-7.2%
50.3
47.5
-2.8
-5.6%
50.8
47.5
-3.3
-6.5%
49.8
47.9
-1.9
-3.8%
50.9
47.8
-3.1
-6.1%
PortC
9
58.8
58.8
58.5
58.5
59.3
59.3
59.7
59.7
60.0
60.0
60.4
60.4
10
53.3
53.3
53.5
53.5
53.5
53.5
54.0
54.0
54.8
54.8
55.1
55.1
11
51.3
51.3
51.5
51.5 .
51.0
51.0
50.8
50.8
50.9
50.9
51.4
51.4
12
46.6
42.6
-4.0
-8.6%
46.4
42.8
-3.6
L^L8%
45.5
42.5
-3.0
-6.6%
46.0
42.7
-3.3
-7.2%
46.8
42.9
-3.9
-8.3%
46.0
42.9
-3.1
-6.7%
PortD
13
14
57.0 I 57.1
57.0
57.2
57.2
56.8
56.8
i_5Ll_
56.8
56.8
56.8
56.8
57.7 ! 57.1
57.7 I 57.1
57.6
57.6
58.7
58.7
57.5
57.5
58.0
58.0
15
54.7
54.7
55.5
55.5
54.6
54.6
53.9
53.9
55.0
55.0
56.0
56.0
16
45.9
40.2
-5.7
-12.4%
44.9
39.9
-5.0
-11.1%
44.2
40.2
-4.0
-9.0%
43.7
40.0
-3.7
-8.5%
45.3
40.3
-5.0
-11.0%
44.9
40.1
-4.8
-10.7%
Average
54.44
53.24
-1.20
-2.20%
54.40
53.25
-1.15
-2.11%
54.08
53.14
-0.94
L_-1.74%
54,22
53.26
-0.96
-1.77%
54.70
53.67
-1.03
-1.88%
55.07
54.04
-1.03
-1.87%
Os
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first three points at each port were taken from the corresponding
baseline. The fourth point at each port, in a bold cell, was calculated using data obtained during wall effects runs (14 near-wall data points).
iTABLEJ2A.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 1-2
UNITED SCIENCES AUTOPROBE TEST, 5/6/98
TABLE J-2B. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
12 PT. TRAVERSES
Port
Point
Run 2 (orig) - straight-up
Run 3 (wall) - straight-up
Difference
% Difference
Run 2 (orig) - yaw-nulled
Run 3 (wall) - yaw-nulled
Difference
% Difference _j
^un Lioflii " straight-up
Run 5 (wall) - straight-up
Difference
% Difference
Run 7 (orig) - yaw-nulled
Run 5 (wall) - yaw-nulled
Difference
% Difference
Run 10 {orig) - straight-up
Run 8 (wall) - straight-up
Difference
% Difference
Run 10 (orig) - yaw-nulled
Run 8 (wall) - yaw-nulled
Difference
% Difference
1
59.3
59.3
59.2
59,2
58.5
58.5
58.4
58.4
59.2
59.2
59.3
59.3
Port A
2
57.9
57.9
r_5l_0^
,5J.O_
59.0
59.0
^5T5^
57.5
58.1
58.1
57.3
57.3
3
49.6
42.4
-7.2
-14.5%
50.5
42.4
-8.1
-16.0%
50.4
42.3
-8.1
-16.1%
r~frTT~l
42.4
-8.7
-17.0%
50.2
42.2
-8.0
-15.9%
50.3
42.6
-7.7
-15.3%
4
58.6
58.6
58.8
58.8
58.7
58.7
58.9
58.9
58.9
58.9
59.7
59.7
PortB
5
57.6
57.6
58.9
58.9
58.4
58.4
59.0
59.0
58.5
58.5
58.8
58.8
6
52.3
46.9
-5.4
-10.3%
52.6
47.1
-5.5
-10.5%
52.8
46.9
-5.9
-11.2%
54.6
47.0
-7.6
-13.9%
53.5
47.3
-6.2
-11.6%
54.0
47.4
-6.6
-12.2%
7 _^
59.1
59.1
58.8
58.8
59.5^
59.5
59.7
59.7
59.3
59.3
59.5
59.5
PortC
8
51.2
51.2
51.6
51.6
51.9
51.9
52.4
52.4
52.3
52.3
52.6
52.6
9
48.2
42.1
-6.1
-12.7%
47.2
42.5
-4.7
11M2L
48.2
42.1
-6.1
-12.7%
47.6
42.3
-5.3
-11.1%
48.0
42.4
-5.6
-11.7%
48.7
42.4
-6.3
-12.9%
10
57.6
57.6
58.2
58.2
57.4
57.4
57.4
57.4
57.8
57.8
58.1
58.1
PortD
11
55.1
55.1
56.2
56.2
56.1
56.1
-ggyn
56.7
55.5
55.5
56.8
56.8
12
49.0
40.9
-8.1
-16.5%
48.8
40.7
-8.1
-16.6%
49.3
40.8
-8.5
-17.2%
48.8
40.7
-8.1
-16.6%
49.3
41.0
-8.3
-16.8%
49.2
40.9
-8.3
-16.9%
Average
54.63
52.39
-2.24
-4.10%
54.90
52.70
-2.20
-4.01%
55.02
52.63
-2.39
-4.34%
55.18
52.70
-2.48
-4.49%
55.05
52.71
-2.34
-4.25%
55.36
52.95
-2.41
-4.35%
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first two points at each port were
taken from the corresponding baseline. The third point at each port, in a bold cell, was calculated using data
obtained during wall effects runs (18 near-wall data points).
TABLEJ2B.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 1-2
UNITED SCIENCES AUTOPROBE TEST, 5/6/98
TABLE J-2C. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Run
No,
3
5
8
Traverse
Type
straight-up
yaw-nulled
stralght-up
yaw-nulled
straight-up
yaw-nulled
Port
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Adjusted Avg. Velocity^
16 PS, Traverse
41.7
47.4
42,6
40.2
41.7
47.5
42.8
3i.9
41,7
47.5
42.5
40.2
41.8
47.5
42.7
40.0
41.3
47,9
42.9
40.3
41.9
47.8
42,9
40.1
12 Pt. Traverse
42.4
46.9
42.1
40.9
42,4
47.1
42.5
40,7
42.3
46.9
42.1
40,8
42.4
47.0
42.3
40,7
42,2
47,3
42.4
41.0
42.6
47.4
42.4
40.9
Point Distance (in) from Wall
1
15.2
38.5
31.1
22.5 J
16.5
37.2
31.3
23.1
15.3
37.0
30.9
23.5
17.0
37.1
31.3
23.8
12.6
37.8
30.7
22.3
2
24.2
41.7
35.7
26.8
24,1
42.3
35.4
25.9
24.3
41.5
36.2
25.6
23.9
42.3
36.1
25.4
22.8
42.3
36.2
24.8
15.0 j 24.0
37.7
31.5
22.6
42.1
34.3
26.7
3
34.2
44.5
39.1
30.3
34.1
44.6
39.9
28.8
,J4,7_
\44l~
39.5
30.5
34.0
44.7
40.0
28.8
34.6
44.9
39.9
30.5
34.9
44.8
39.7
28.6
4
42.0
46.7
42.0
34.3
41.8
47.0
42.1
34.9
42.0
46.5
42.4
35.1
42.0
46.0
41.9
34.3
42.0
47.1
43.0
36,2
42.8
47.4
41.7
34.3
5
45.1
48.2
44.1
39.6
44.7
48.7
44.0
39.9
44.7
48.6
43.5
40.1
45.2
48.7
43.1
40.1
44.8
48.7
43,6
39.7
45.5
48.7
44.3
38.9
6
47.1
49.8
45.1
42.9
46.6
49.5
45.6
43.3
46.4
49.4
44.7
42.9
47.3
49.9
44.3
42.7
46.1
50.2
45.2
44.0
46.6
50.7
46.2
43.6
7
48.0
51.1
46.1
46.9
47.7
51.4
46.0
46.9
48.7
51.9
45.6
45.7
47.5
51.3
46.1
46.4
48.2
51.1
46.6
46.4
47.6
51.2
46.6
45.9
8
49.3
51.9
48.0
47.0
49.2
51.7
47.1
48.0
49.0
52.5
47.2
47.3
48.9
52.4
46.6
47,0
48.9
52.6
47.6
46.9
48.8
51.4
47.3
47.5
9
50.3
52.5
47.7
49.0
50.8
52.9
47.9
47.7
50.3
53.0
48.0
_4jyLj
50.8
52.3
48.1
48,0
50.4
53.2
48.3
49.4
50.5
53.2
48.6
48.9
10
50,6
53.1
48.9
50.1
51.2
53.0
49.5
49.4
50,7
53.8
48.5
50.5
51.9
53.1
48.5
50.3
51.0
,_54.1_
^9~4~
50.0
51.9
54.3
49.0
50.6
11
52.8
53.5
LA9.1
51.7
52.3
54.3
L5ฐ-2
50.7
52.2
54.1
49.2
51.1
52.0
54.5
50.0
50.7
51.9
54.5
49.8
50.8
52.6
53.9
50.3
50.2
12
53.3
54.8
49.2
51.5
52.4
55.0
50.7
50.3
52.6
54.3
49.6
51.5
52.9
55.4
50.0
51.7
52.7
54.9
50,2
52.2
53.8
54.8
50.2
52.7
13
53.7
54.3
50.2
52.3
53.7
54.9
50.4
52.0
53.5
54.3
49.9
52.4
53.3
55.3
50.8
51.8
54.3
55.0
50.3
52.5
54.0
55.9
50,8
53.1
14
54.1
55.4
51.2
53.1
54.2
55.8
50.5
52.2
54.3
56.3
50.4
52.4
53.8
55.4
51.4
52.8
54.6
56.9
50.9
52,7
54.3
56.7
51.0
53.1
15 I 16
64.3;
55.6*
ซus
52.3
55.3
56.6
51.7
-83J1-
64.6.*.
E55=6$
f 50.2" !
51.7
53.9*.
i~56.5'^
50.5
52.8
54.5
56.5
50,4
52.7
56.1 ,
57.4
50.4
52.9
.65,7.;
?56'.2'.
?50l8,
53.833
58.1'ง
56,8 V
52.1t-
53;a
,54.5.*,
1,55.4
"50:1
' S2-.K*
'54.6P
S58H-
'SO&4!
52.8
55.2,-
ssm
51.4'"
54,1
55.8
56.8
51.3
53.9'i:
17
"-56,1 -B
"Selaf
.sttv
:54.4'>
155,8 -
*56.8%
;5t.O
53.8
55,6 -
KR K.W.
'OO.Qm
"50.3*
-'53,3
/54.9f
so?
.'5i.S~
; 54.01
55.7.--'
T67.1 if
?51,6ป"
r53;8,-
r56;4
57.6."
51.3
i54.8
18
56.3;
: 57.27
50.5
53.7 i
155.64*
857 jป
J51.5-;
'54.4'
55.7;
.,56;7.;:
sr.2'.
54.2.
^'55.7*
57.4
51.6;
54:2--'
56,3
"87,2-
'51.T*.
554,0*"-
T55.9" =,
mM '
51.4
1 543-:
Nฐte: I ' ~l Data in these cells were required for calculations of adjusted average velocity values for the 12 pt. traverses, but not for the 16 pt. traverses.
TABLEJ2C.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 3
UNITED SCIENCES AUTOPROBE TEST, 3/25/98
TABLE J-3. WALL EFFECTS VS. ORIGINAL (ORIG), OVERALL SUMMARY
Run
No.
2,4
3,4
5,7
6,7
8,10
9,10
Traverse Type
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt.^aw-nulled
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
Avg. Velocity, ft/sec
Base
19.03
19.06
19.68
19.58
19.30
19.43
19.43
19.44
19.65
19.80
19.56
19.68
Adjusted
18.81
18.79
18.45
18.41
18.98
19.09
18.23
18.13
19.32
19.46
18.45
18.53
Difference
-0.22
-0.27
-1.23
-1.17
-0.32
-0.34
-1.20
-1.31
-0.33
-0.34
-1.11
-1.15
% Difference
-1.16%
-1.42%
-6.25%
-5.98%
-1.66%
-1.75%
-6.18%
-6.74%
-1.68%
-1.72%
-5.67%
-5.84%
TABLEJ3.WK4
J-19
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
. AEP - CONESVILLE STATION, UNIT 3
UNITED SCIENCES AUTOPROBE TEST, 3/25/98
TABLE J3-A. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS *
16 PT, TRAVERSES
Port
Point
Run 2 (orij)j- straight-lip
Run 4 (wall) - straight-up
Difference
% Difference
Run 2 (orig) - yaw-nulled
Run 4 (wajj) -jawniulled
Difference
% Difference
Run 5 (orig) - straigJTt-up
Run 7 (wall) - straight-up
Difference
% Difference
Run 5 (orig) - yaw-nulled
Run 7^aI|)jj[awMTulled
Difference
% Difference
Run 8 (orig) - straight-up '
Run 1 0 (wall) - straight-up
Difference
% Difference
Run 8 (orig) - yaw-nulled
Run 10 (wall) - yaw-nulled
Difference
% Difference
Port A
1
22.0
22.0
22.3
22.3
22.4
22.4
22.1
22.1
22.0
22.0
22.4
22.4
2 _,
20.0
20.0
jieji
TasT
20.1
20.1
20.8
20.8
21.2
21.2
21.0
21.0
i
3
18.3
18.3
LlZJLj
17.9
17.9
LJ7.9
4
14.5
12.0
-2.5
tW2%
14.7
11.6
-3.1
hiiilLj
14.9
12.2
-2.7
1-18.1%
19.1
19.1
19.5
19.5
19.4
19.4
15.6
11.9
-3.7
i23J%^
14.3
12.0
-2.3
-16.1%
14.2
11.6
-2.6
-18.3%
PortB
5
21.4
21.4
20.8
20.8
21.5
21.5
21.2
21.2
20.7
20.7
21.7
21.7
6
20.2
20.2
_2O5i
-_a5-1
7
19.4
19.4
19.3
19.3
unL^,
20.4
20.4
20.6
20.6
21.8
[_218_
21.9
21.9
19.8
19.8
20.1
20.1
19.6
19.6
20.2
20.2
8
11.7
11.9
0.2
1.7%
11.6
11.8
0.2
iTzlJ
12.9
11.8
-1.1
-8.5%
11.9""!
11.9
0.0
0.0%
13.1
12.1
-1.0
-7.6%
13.7
11.9
-1.8
-13.1%
PortC
Q
21.9
21.9
22.1
22.1
22.4
22.4
22.4
22.4
21.6
~2\*>
22.3
22.3
10
21.2
21.2
21.6
21.6
21.6
LJ^yLJ
_214_,
21.4
22.0
22.0
22.7
22.7
11 _,
20.0
20.0
20.0
20.0
19.8
19.8
20.5
20.5
20.9
20.9
21.1
21.1
12
16.2
16.1
-0.1
-0.6%
17.4
16.2
-1.2
Lr6.9%
16.7
16.5
-0.2
tj.2%
16.7
16.3
-0.4
-2.4%
17.1
16.4
-0.7
-4.1%
17.1
16.6
-0.5
-2.9%
PortD
13
21,1
21.1
21.1
21.1
21.6
21.6
21.5
21.5
21.4
J2M_J
20.7
20.7
14
21.3
21.3
21.2
21.2
20.8
20.8
21.2
21.2
22.1
22.1
22.4
22.4
15
19.2
19.2
19.3
19.3
19.7
19.7
19.8
19.8
20.6
20.6
20.7
20.7
16
16.0
15.0
-1.0
-6.3%
15.3
15.0
-0.3
-2.0%
16.3
15.1
-1.2
-7.4%
15.9
14.7
-1.2
-7.5%
16.5
15.2
-1.3
-7.9%
15.3
14.7
-0.6
-3.9%
Average
19.03
18.81
-0.22
-1.16%
19.06
18.79
-0.27
-1.42%
19.30
18.98
-0.32
-1.66%
19.43
19.09
-0.34
-1.75%
19.65
19.32
-0.33
-1.68%
19.80
19.46
-0.34
-1.72%
to
o
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first three points at each port were taken from the corresponding
baseline. The fourth point at each port, in a bold cell, was calculated using data obtained during wall effects runs (15 near-wall data points).
TABLEJ3A.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESViLLE STATION, UNIT 3
UNITED SCIENCES AUTOPROBE TEST, 3/25/98
TABLE J-3B. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
12 PT. TRAVERSES
Port
Point
Run 3 (orig^- straight-up
Run -IJw^llJj^traightHJp
Difference
% Difference
Run 3 (orig) - yaw-nulled I
Run 4 (wall) - yaw-nulled
Difference
% Difference
Run 6 (orig) - straight-up
Run 7 (wall) - straight-up
Difference
% Difference
Run 6 (orig) - yaw-nulled
Run 7 (wall) - yaw-nulled
Difference
% Difference
Run 9iฐOiIiStraight-up
Run 10 (wall) - straighJNjg
Difference
% Difference
Run 9 (orjgjh:jw\WTUj!ecl
Run 10 (wall)j^aw-nulled
Difference
% Difference
1
22.3
22.3
22.9
22.9
[^22/2T
22.2
21.9
21.9
_22.6_j
~22J6~^
22.7
22.7
Port A
*y
19.5
19.5
19.6
19.6
JjUj
19.3
19.3
19.3
19.5
LlM_
19.1
19.1
3
rj6A~
11.1
-5.3
^3Z3%"
15.7
10.9
-4.8
-30.6%
16.4
11.2
-5.2
-31.7%
16.6
11.0
-5.6
-33.7%
15.5
11.2
-4.3
-27.7%
15.9
10.9
-5.0
-31.4%
4
21.8
21.8
21.4
21.4
21.9
21.9
_20,9j
20.9
21.1
21.1
22.1
22.1
PortB
5
20.9
20.9
21.1
21.1
20.3
20.3
20.6
20.6
20.9
20.9
20.6
20.6
6
13.3
11.1
-2.2
-16.5%
12.6
10.8
-1.8
-14.3%
13.7
11.0
-2.7
-19.7%
13.9
11.1
-2.8
-20.1%
13.5
11.3
-2.2
-16.3%
13.6
11.0
-2.6
-19.1%
7
22.1
22.1
22.6
22.6
21.9
21.9
21.6
21.6
22.5
22.5
22.5
22.5
PortC
8
21.4
21.4
20.9
20.9
20.9
20.9
20.7
20.7
21.5
21.5
22.3
22.3
9
18.9
14.4
_r4JL_i
-233%*
nrsm
14.5
-3.6
-19.9%
18.2
14.7
-3.5
-19.2%
18.2
14.5
-3.7
-20.3%
-jg-g-j
14.7
-3.8
-20.5%
17.5 1
14.8
-2.7
-15.4%
10
r^27p~
22.1
p^2^-
22.2
21.3
21.3
21.8
21.8
21.8
21.8
21.7
21.7
PortD
11
21.2
21.2
20.5
20.5
20.5
20.5
21.0
21.0
20.7
20.7
21.4
21.4
12
16.2
13.5
-2.7
-16.7%
17.3
13.5
-3.8
-22.0%
16.6
13.5
-3.1
-18.7%
16.8
13.2
u^y^
-21.4%
16.6
13.6
-3.0
-18.1%
16.8
13.3
-3.5
-20.8%
Average
19.68
18.45
-1.23
-6.25%
19.58
18.41
-1.17
-5.98%
19.43
18.23
-1.20
-6.18%
19.44
18.13
-1.31
-6.74%
19.56
18.45
-1.11
-5.67%
19.68
18.53
-1.15
-5.84%
K>
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first two points at each port were
taken from the corresponding baseline. The third point at each port, in a bold cell, was calculated using data
obtained during wall effects runs (21 near-wall data points).
TABLEJ3B.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 3
UNITED SCIENCES AUTOPROBE TEST, 3/25/98
TABLE J-3G. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Run
No.
4
7
10
Traverse
Type
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
Port
A
8
C
D
K_A_
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Adjusted Avg. Velocity
16 Pt Traverse
12.0
11.8
16.1
15.0
11.6
11.8
16.2
15.0
12.2
11.8
16.5
15.1
11.9
11.9
16.3
14.7
12.0
12.1
16.4
15.2
11.6
11.9
16.6
14.7
12 Pt Traversa
11.1
11.1
14.4
13.5
10.9
10.8
14.5
13.5
11.2
11.0
14.7
13.5
11.0
11.1
14.5
13.2
11.2
11.3
14.7
13.6
10.9
11.0
14.8
13.3
Point Distance (in) from Wall
1
4.3
UZZj
14.7
13.2 J
5.2
9.2
14.0
13.5
4.6
8.8
15.4
12.8
5.8
8.5
1S.1
12.4
3.7
9.1
15.0
12.7
4.9
9.3
15,1
13.2
2
4.3
8.4
14.7
13.2
5.2
9.2
14.0
13.5
4.6
8.8
15.4
12.8
5.8
8.5
15.1
12.4
3.7
9.1
15.0
12.7
3
4.3
8.4
14.7
13.2
5.2
9.2
14.0
13.5
4.6
8.8
15.4
12.8
5.8
8.5
15.1
12.4
3.7
9.1
15.0
12.7
4.9 I 4.9
9.3
15.1
13.2
9.3
15.1
13.2
4
4.3
8.4
14.7
13.2
5.2
9.2
14.0
13.5
4.6
8.8
15.4
12.8
5.8
8.5
15.1
12.4
3.7
9.1
15.0
12.7
4.9
9.3
15.1
13.2
5
10.5
9.8
15.8
13.5
10.1
10.5
15.8
13.8
10.8
10.3
15.4
13.6
10.1
JM_i
15.7
14.4
10.4
10.3
15.6
13.4
10.0
9.9
f__5
14.2
6
13.3
11.2
16.0
14.3
13.1
10.6
16.9
15.1
13.1
11.0
17.0
14.3
13.9
10.0
16.5
14.7
13.4
11.7
16.3
14.2
12.8
12.2
16.4
14.5
7
14.2
JZTi
TIT"
15.9
13.9
11.4
17.3
14.8
14.6
12.5
16.8
14.7
14.2
12.7
17.5
15.7
14.2
11.7
17.4
14.8
14.1
12.0
16.2
15.9
B I 9
14.5
12.5
h_____
15.5
15.3
13.0
17.6
15.9
14.9
12.2
16.1
15.6
14.3
11.8
17.0
15.9
15.0
12.7
17.3
14.9
15.0
11.9
17.3
16.5
15.3
13.4
17.7
17.1
15.0
13.3
17.2
16.0
15.4
13.2
17.1
16.5
16.1
14.1
17.6
17.6
15.8
12.7
18.5
16.6
15.2
13.7
18.0
16.9
10
15.8
14.7
17.5
16.7
16.0 n
13.7
17.9
17.0
16.3
13.9
17.9
17.1
16.4
15.3
18.9
17.4
15.5
13.4
18.1
16.2
16.6
13.5
17.6
17.5
11
16.5
14.7
18.7
17.4
17.1
15.0
17.9
17.9
15.9
14.4
17.5
16.9
16.2
i_!M_
W.T~
17.2
16.3
14.1
18.9
17.4
_J6.8_j
14.2
18.4
17.0
12
16.8
14.7
18.7
16.9
16.6
16.3
18.3
17.8
16.4
15.0
17.7
17.1
16.6
14.3
19.3
17.8
16.3
13.6
19.S
18.2
17.2
14.8
19.0
17.5
13
16.4
15.2
18.6
17.9
16.7
15.7
18.8
17.3
17.4
15.6
19.2
17.1
njg-g--
15.5
19.3
17.7
17.4
rj$j-
19.1
18.1
LJlZiง_
16.3
19.3
17.5
14
17.9
15.0
19.6
17.4
16.5
15.5
19.5
17.6
16.3
17.4
18.6
18.7
17.2
15.7
19.2
18.8
17.1
15.1
19.0
18.2
17.3
16.5
19.4
18.4
15
16.9
17.0
19.2
18.3
18.2
15.9
19.2
17.8
18.1
17.1
19.3
18.2
17.7
18.0
18.7
19.2
18.4
18.2
19.8
18.1
18.6
17.4
18.5
18.7
16
i 18.5*
^18,4
**9&
i^.19.3.
i-17.4."
:'.VtAi
*Mฃ'
' 18.QT
.18.0;
18.9 f
* 18.6;
18.S*ii
^18,0ป.
18.2 -,
19.21
r 18.9
M7.8 -
t.16,8
- 19,2
-18.9''
" 18.2 .
i."l8.9'
,.19',2
ฅ19.2
17
17.9,;
';174 -
18.8%
18.3,.
18,1 *
'vr>:s.(.
19.7'
'19.'4'3
.17.4rj
"te.-i%
19.1.'f
'i4?4x
';17.3?
JMJ
/49.5k'
18.5
18.4^
18/1*
iliij
19.3'*
17.S,
18.4-;
'10.6*
'iiป.9
18
18.8,3
'19.3'5
18,2.v'
18.9^
18.4
18.5 ;
19.7.
19.4
J18.1
H8.1(
319.0 ,-
C.18.8 8
18.0V
-.18 8>
19.4 "
18.4 ;
18.9
18.9
20.3:
11,8%
-18.0
19.6
20.9
18.5
19
>18.6 '-.
.",iit.i ;
*19.5 :
il:.i8,s>,;
"18 j!'
feUSI
ml---*
18',4Sl
19.1 :<
, 1fc4t
"2Q.O
;-.iej!.'.
[18,8
"1tt8 '
ฃ20.tซ
19.7 -,'
' 18.9'-*
' 19.3.1
IS.fTS
19.1 'i
18.6""
20.04
20.8 ':,
19.3CT
20
ms.4 -.
;i9.a
!ฃ*$
i^l&Mi
I18JB5
,-18;isi
-'iVM;.
< 19.W
-AW-
ฃ4ซJf
ia.9 :
ป1W .
.-17.6V,
"1910.
: 20'^*
iSS :
,18.0 2
"20.7,*
" 19,8,
fcitfft*
-18.8.
iiMi
*-2MW
f49.9n-
21
",ซ.*
19%
,2om
*MJii
f18.f^
s!Mt
^idJs"
fc19.7 '
148.0 -
ซ20.5
S20.Q
"M,*-:
c18.ซ
18.5-
ซ20:2-ป
.19.3
<19.0
f20.5,
^20.3-
ซ-19,s5
i-1ป.ป
iM8_
rifj '
^19.9
K)
K)
Note:
Data In these cells were required tar calculations of adjusted average velocity values for the 12 pt. traverses, but not for the 16 pt. traverses.
TABLEJ3C.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESV1LLE STATION, UNIT 5
UNITED SCIENCES AUTOPROBE TEST, 1/15/98
TABLE J-4. WALL EFFECTS VS. ORIGINAL (ORIG), OVERALL SUMMARY
Run
No.
2,4
3,4
5,8
6,8
9,11
10,11
N1
N2
N3
N4
N5
Traverse Type
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16pt straight-up
16 pt. yaw-nulled
12pt, straight-up
12 pt.^aw-nulled
16 pt. straight-up
16 pi^aw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16pt. straight-up
16 pi yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
Avg. Velocity, ft/sec
Base
45.14
45.25
45.51
45.50
46.83
46.71
47.08
46.44
44.73
44.16
44.62
44.52
46.87
46.51
47.14
47.17
47.25
47.22
41.69
41.84
35.38
35.12
Adjusted
44.81
44.59
44.41
44.31
45.66
45.38
45.39
44.94
44.04
43.85
43.81
43.64
46.18
45.96
46.35
46.41
46.27
45.88
40.92
40.98
35.13
34.95
Difference
-0.33
-0.66
-1.10
-1.19
-1.17
-1.33
-1.69
-1.50
-0.69
-0.31
-0.81
-0.88
-0.69
-0.55
-0.79
-0.76
-0.98
-1.34
-0.77
-0.86
-0.25
-0.17
% Difference
-0.73%
-1.46%
-2.42%
-2.62%
-2.50%
-2.85%
-3.59%
-3.23%
-1.54%
-0.70%
-1.82%
-1.98%
-1.47%
-1.18%
-1.68%
-1.61%
-2.07%
-2.84%
-1.85%
-2.06%
-0.71%
-0.48%
TABLEJ4.WK4
J-23
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 5
UNITED SCIENCES AUTOPROBE TEST, 1/15/98
TABLE J-4A, VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS *
16 PT. TRAVERSES
Port
Point
Run 2 (orig) - straigjit-up
Run 4 (wall^- straight-up
Difference
% Difference
Run 2 (orig^- yaw-nulled
Run 4 (wall) - yaw-nulled
Difference
% Difference
Run SJorig^- straight-up
Run 8 (wall) - straight-up
Difference
% Difference
Run 5 (orig) - yaw-nulled
Run 8 (wall) - yaw-nulled
Difference
% Difference
Run 9 (orig) - straight-up
Run 1 1 (wall) - straight-up
Difference
% Difference
Run 9 (orig^- yaw-nulled
Run 1 1 (wall) - yaw-nulled
Difference
% Difference
Run N1 (origji - straight-up
Run N1 (wall) - straight-up
Difference
% Difference
Run N1 (orig) - yaw-nulled
Run N1 (wall) - yaw-nulled
Difference
% Difference
Port A
1
48.7
48.7
48.6
48.6
49.6
49.6
50.0
50.0
48.2
48.2
2
48.1
48.1
47.9
47.9
48.9
48.9
48.8
48.8
48.1
48.1
47.0 i 47.1
47.0
49.3
49.3
49.2
49.2
47.1
50.0
50.0
49.6
49.6
3
47.7
47.7
47.5
47.5
47.4
47.4
48.8
48.8
46.2
46.2
47.0
47.0
47.7
47.7
47.3
47.3
4
38.9
39.0
0.1
0.4%
42.7
38.5
-4.2
-9.8%
43.2
38.2
-5.0
-11.5%,
42.8
38,0
-4.8
-11.1%
41.0
38.0
-3.0
-7.2%
39.8
38.2
-1.6
-4.1%
42.3
39.9
-2.5
-5.8%
42.6
38.9
-3.7
-8.7%
PortB
5
47.3
47.3
47.1
47.1
48.8
48.8
48.6
48.6
46.7
46.7
45.8
45.8
48.9
48.9
48.7
r-^
6
46.8
46.8
47.0
47.0
48.4
48.4
48.3
48.3
45.5
45.5
44.8
44.8
48.2
48.2
47.7
47.7
7
46.3
46.3
45.4
45.4
47.5
47.5
45.2
45.2
43.4
43.4
44.4
44.4
47.8
47.8
47.4
47.4
8
39.7
37.8
-1.9
-4.9%
39.7
37.5
-2.2
-5.4%
42.0
37.1
-4.9
dl .8%
42.3
36.9
-5.4
-12.7%
40.3
37.1
-3.2
-7.9%
37.6
37.1
-0.5
-1.4%
41.3
38.9
-2.4
-5.7%
39,4
38.8
-0.5
-1.4%
PortC
9
47.4
47.4
47.0
47.0
48.8
48.8
48.9
48.9
46.1
46.1
46.3
46.3
49.2
49.2
48.9
48.9
10
46.3
46.3
46.2
46.2
48.5
48.5
47.8
47.8
45.9
45.9
46.4
46.4
48.0
48.0
47.9
47.9
11
44.4
44.4
44.6
44.6
47.1
47.1
45.7
45.7
44.7
44.7
44.4
44.4
47.3
47.3
47.7
47.7
12
40.1
38.0
-2.1
-5.3%
39.3
37.7
-1.6
-4.2%
41.7
37.6
-4.1
-9.8%
43.3
37.5
-5.8
-13.4%
40.7
38.5
-2.2
-5.4%
39.3
37.7
-1.6
-4.0%
42.4
38.9
-3.5
-8.1%
41.8
39.4
-2.4
-5.8%
PortD
13
14
15
!
i
16
Average
45.14
44.81
-0.33
-0.73%
45.25
44.59
-0.66
-1.46%
46.83
45.66
-1.17
-2.50%
46.71
45.38
-1.33
-2.85%
44.73
44.04
-0.69
-1.54%
44.16
43.85
-0.31
-0.70%
46.87
46.18
-0.69
-1.47%
46.51
45.96
-0.55
-1.18%
to
*ซ.
FABLEJ4A.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 5
UNITED SCIENCES AUTOPROBE TEST, 1/15/98
TABLE J-4A. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS *
16 PT. TRAVERSES
Port
Point
Run N2 (orig) - straight-up
Run N2 (wajl) - straiglitup
Difference
% Difference
Run N2 (orig) ^yaw-nulled
Run N2 (wall) - yaw-nulled
Difference
% Difference
Run N3 (orig) - straight-up
Run N3 (wall)^ straight-up
Difference
% Difference
Run N3 (orig^- yaw-nulled
Run N3 (wall) - yaw-nulled
Difference
% Difference
Run N4 (orig) - straight-up
Run N4 jjwall) - straight-up
Difference
% Difference
Port A
1
50.0
50.0
50.4
50.4
50.7
50.7
50.0
50.0
2
49.0
49.0
49.8
49.8
49.4
49.4
49.7
49.7
j '
47.9
47.9
Run N4 (orig) - yaw-nulled I 48.2
Run N4 (wall) - yaw-nulled
Difference
% Difference
Run N5 (orig) - straight-up
Run N5 (wall) - straight-up^
Difference
% Difference
Run N5 (orig) - yaw-nulled
Run N5 ฃwall) - yaw-nulled
Difference
% Difference
48.2
39.8
39.8
40.3
40.3
45.1
45.1
45.1
45.1
38.9
38.9
37.4
37.4
3
47.9
47.9
47.5
47.5
48.2
48.2
47.4
47.4
41.7
41.7
41.7
41.7
36.9
36.9
35.9
35.9
4
43.4
39.7
-3.7
-8.5%
42.4
40.0
-2.4
-5.7%
42.9
39.4
-3.5
-8.2%
44.6
38.8
-5.8
-12.9%
35.4
32.6
-2.8
-7.9%
35.9
32.5
-3.3
-9.3%
28.5
26.2
-2.3
-8.0%
27.1
26.4
-0.7
-2.7%
PortB
5
49.7
49.7
50.4
50.4
49.3
49.3
48.5
48.5
47.2
47.2
47.1
47.1
6
49.4
49.4
48.2
48.2
48.6
48.6
48.2
48.2
43.6
43.6
43.5
43.5
I
39.7
39.7
39.1
39.1
38.8
L_38J_
37.0
37.0
7
46.4
46.4
47.1
47.1
47.5
47.5
48.1
48.1
8
40.6
38.9
-1.7
-4.3%
41.0
38.3
-2.7
-6.6%
41.4
38.4
-3.0
-7.2%
42.9
37.4
-5.5
1-12.7%
39.8
39.8
40.1
40.1
35.4
35.4
37.4
37.4
35.4
32.1
-3.2
-9.1%
34.8
31.9
-2.8
-8.2%
26.1
25.7
-0.4
-1.4%
26.7
26.0
-0.7
-2.7%
PortC
9
49.2
49.2
49.8
49.8
48.1
48.1
49.1
49.1
46.3
46.3
46.2
46.2
10
49.3
49.3
48.5
48.5
48.9
48.9
48.1
48.1
43.0
43.0
11
47.8
47.8
47.7
47.7
48.1
48.1
46.9
46.9
39.5
39.5
43.0 | 40.3
43.0
39.9 | 38.0
39.9
40.2
40.2
38.0
37.7
37.7
40.3
35.6
35.6
35.6
35.6
12
43.0
39.0
-4.0
-9.2%
43.3
39.3
-4.0
-9.2%
43.8
38.6
-5.2
-11.9%
43.1
38.2
-4.9
-11.4%_
35.5
32.4
-3.2
-8.9%
rsain
31.9
-4.1
-11.5%
26.9
26.5
-0.4
-1.4%
27.0
26.4
-0.6
-2.2%
PortD
13
14
15
I
16
Average
47.14
46.35
-0.79
-1.68%
47.17
46.41
-0.76
-1.61%
47.25
46.27
-0.98
-2.07%
47.22
45.88
-1.34
-2.84%
41.69
40.92
-0.77
-1,85%
41.84
40.98
-0.86
-2.06%
35.38
35.13
-0.25
-0.71%
35.12
34.95
-0.17
-0.48%
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first three points at each port were taken from the corresponding
baseline. The fourth point at each port, in a bold cell, was calculated using data obtained during wall effects runs (18 near-wall data points).
TABLEJ4A.WK4
2-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESV1LLE STATION, UNIT 5
UNITED SCIENCES AUTOPROBE TEST, 1/15/98
TABLE J-4B. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
12 PT. TRAVERSES
Port
Point
Run 3 (orig) - straight-up
Run 4 (wall) - straight-up
Difference
% Difference
Run 3 {orig) - yaw-nulled
Run 4 (wall) - yaw-nulled
Difference
% Difference
Run 6 (orig) - straight-up
Run 8 (wall) - straight-up
Difference
% Difference
Run 6 (orig) - yaw-nulled
Run 8 (wall) - yaw-nulled
Difference
% Difference
Run 10 (orig) - straight-up
Run 1 1 (wall) - straight-up
Difference
% Difference
Run 1 0 (orig) - yaw-nulled
Run 1 1 (wall) - yaw-nulled
Difference
% Difference
1
48.0
48.0
48.6
48.6
49.4
49.4
49.3
49.3
47.4
47.4
47.8
~47in
Port A
2
48.0
48.0
48.2
48.2
49.6
49.6
47.6
47.6
47 A
47.1
47.0
47.0
3
43.3
40.4
-2.9
-6.8%
43.3
39.6
-3.7
-8.6%
44.8
39.7
-5.1
-11.5%
44.8
39.4
-5.4
ฃlM%_
41.8
38.8
-3.0
-7.1%
42.1
39.1
-3.0
-7.1%
4
47.0
47.0
46.9
46.9
48.2
48.2
47.8
47.8
46.2
46.2
45.7
45.7
PortB
5
45.8
45.8
46.7
46.7
47.6
47.6
47.4
47.4
45.0
45.0
45.8
45.8
6
42.0
38.8
-3.2
-7.6%
42.4
38.7
-3.7
-8.7%
43.1
38.5
-4.6
-10.7%
42.3
38.4
-3.9
-9.3%
40.4
38.1
-2.3
-5.6%
40.2
38.2
-2.0
-5.0%
7
47.2
47.2
46.4
46.4
48.0
48.0
48.2
48.2
46.3
46.3
46.5
46.5
PortC
8
45.6
45.6
45.0
45.0
48.6
48.6
47.3
47.3
45.4
45.4
43.9
43.9
9
42.7
38.9
-3.8
-8.9%
42.0
38.7
-3.3
-7.8%
44.4
39.0
-5.4
-12.2%
43.3
39.1
-4.2
-9,8%
42.0
39.9
-2.1
-5.0%
41.7
38.7
-3.0
-7.1%
10
PortD
11
12
Average
45.51
44.41
-1.10
L -2.42%
45.50
44.31
r"rn
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 5
UNITED SCIENCES AUTOPROBE TEST, 1/15/98
TABLE J-4C. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Run
No.
4
8
11
N1
N2
N3
Traverse
Type
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
Port
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
0
A
B
C
0
A
B
C
D
A
B
C
D
A
B
C
D
Adjusted Avg. Velocity
16 PL Traverse
39.0
37.8
38.0
38.5
37.5
37.7
38.2
37.1
37.6
38.0
36.9
37.5
38.0
37.1
38,5
38.2
37.1
37.7
39.9
38.9
38.9
38.9
38.8
39.4
39.7
38.9
39.0
40.0
38.3
39.3
A 39.4
B
C
D
A
B
^H
38.4
38.6
38.8
37.4
38.2
12 Ft, Traverse
40.4
38.8
38.9
39.6
38.7
38.7
39.7
38.5
39.0
39.4
38.4
39.1
38.8
38.1
39.9
39.1
38.2
38.7
Point Distance (in^lram Wall
1
24.5
24.2
25.4
23.4
23,a
23.4
23.5
22.4
22.5
22.1
22.8
21.9
24.5
23.5
23.8
23.3
24.1
23.1
25.6
28.1
23.7
25.6
24.3
24.8
26.3
24.5
24.5
24.6
23.8
23.7
24.1
23.3
23.3
22.8
23.5
22.1
2
28.5
29.8
28.5
27.8
30.5
27.6
28,0
26.5
28.8
27.9
26.3
27.0
29.8
28.4
29.3
29.4
28.5
28.0
29.3
28.7
29.5
30.6
29.2
28.6
29.4
29.2
28.7
28.7
28.2
28.7
27.7
28.3
26.9
27.4
26.8
27.7
3
31.2
29.2
30.0
31.9
31.1
30.8
29.1
29.7
30.4
30.3
28.9
^J28.1
33.7
31.8
31.4
31.1
29.8
31.4
33.2
30.3
30.5
30.2
30.7
31.5
31.6
30.2
30.6
32.2
30.1
30.7
31.1
29.8
29.5
30.5
30.1
29.5
4
34.7
33.9
33.4
33.8
31.9
32.5
32.7
30.1
31.9
32.3
30.8
31.2
33.7
32.3
34.4
35.7
30.4
33.1
35.3 .
34.9
34.5
34.1
34.2
34.2
34.5
33.6
33.6
34.2
31.4
32.6
32.4
31.7
30.9
31.5
30.6
31.2
5
35.3
36,2
36.5
36.6
34.3
35.4
34.7
33,6
32.7
33.5
33.1
31.6
36.1
34.1
35.4
37.1
33.5
35.1
36.6
34.9
35.3
36.1
34.5
35.0
36.6
36.1
36.1
36.4
36.1
34.1
34.2
33.2
32.2
34.6
32.9
32.8
6
35.5
34.8
37.0
36.8
34,9
36.4
35.1
33.7
34.4
34.6
33.1
_34.2
36.7
35,1
36.5
34.3
35.1
35.5
36.S
35.9
36.5
36,7
35.6
33.6
36.2
36.4
35.9
39.1
36.4
35.4
35.5
33.0
33.6
35.6
32.6
34.1
789
37.8
38.4
38.2
40.4
37.5
39,1
36.6
38.2
34.7
36.4
35.3
34.2
39.6
38.0
37.1
39.3
38.3
37.5
39.0
37.8
37.4
37.0
37.6
38.6
37.9
36.3
37.8
38.0
36.6
37.7
36.9
35.2
35.0
36.1
34.2
34.7
40.6
39.4
39.9
39.8
38.5
39.5
37.7
35.9
37.5
37.0
34.9
36.0
40.2
,_37.9
39.6
41.4
38.9
40.6
40.2
39.1
39.5
40.1
38.3
40.4
40.4
38.6
38.7
38.3
37.1
39.0
37.2
36.2
37.3
36.3
34.9
36.0
38.6
37.9
38.4
40.2
36.6
37.9
37.8
35.3
38.9
37,0
35.5
36,0
39.5
39.7
38.5
39.1
37.4
40.0
40.6
40.0
39.5
41.1
38.1
40.1
40.5
39.4
39.3
39.5
37.9
39.3
38.6
37.2
37.3
38.0
37.9
38.6
10
40.0
39.6
40.0
40.3
37.9
37.3
38.5
37.7
38,7
39.1
34.8
37.8
39.4
39.6
38.9
39.7
40.2
39.8
41.5
41.6
40.5
38.9
40.2
41.9
41.1
40.3
39.6
39.2
39.4
41.1
39.7
39.5
40.7
11
38.7
38.6
38.8
39.3
37.9
38.6
12
39.9
38,2
39.2
40.7
38.0
39,i
38.2 | 38.7
37.0
40.4
39.6
38.8
38.8
39.2
37.1
37.i
38.9
36.5
39.2
40.4
39.0
41.3
40.5
40.1
40.4
42.1
41.6
42.2
42.6
40.S
41.7
42.6
40.7
40.9
40.6 i 41.0
37.8
40,5
41.1
42.6
38.4
38.2
39.1
38.1
38.5
39.6
38.5
38.9
40.9
38.2
39.2
41.4
40.1
41.4
39.9
41.4
39.8
40.9
41.7
42.2
42.6
41.6
42.1
41,1
42.4
41.9
42.9
39.4
42.0
13
43.3
39.5
41.2
40.3
39.2
38.8
40.7
39.1
39.4
39.3
37.1
39.7
40.4
38.7
39.3
40.7
38.7
40.0
42.2
41.7
42.2
40.7
41.3
41.6
42.8
42.8
43.0
42.7
41.0
43.9
40.9
41.7
43.2
42.7
40.9
43.1
14
41.5
40.3
41.6
41.2
39.3
40.4
40.0
38.2
39.0
41.7
39.7
39.7
40.9
L_40.0
39.7
40.6
40.0
40.5
42.2
41.5
42.0
42.4
40.7
42.7
43.3
41.5
42.3
42.9
42.3
44.5
15
41.5
42.1
41.2
41.5
40.7
40.5
42.8
40.2
42.4
41.1
40.6
41.6
42.1
40.2
41.1
16
42.4
41.7
41.5
42.0
41.4
42.5
42.5
42,4
42.1
43.3
43.6
42.9
42.0
40.5
41.0
41.6 | 40.6
40.7
42.7
43.8
41.2
42.5
43.1
40.1
43.1
42.7
42.6
43.5
43,4
41.9
41.8
43.5 j 43.6
42.2
42.7
41.1
42.4
44.4
42.3
43.2
43.2
41.7
42.B
39,2
39.3
41.7
42.3
43.1
43.6
43.3
43.3
44.3
42.4
42.2
44.9
44.3
43.2
43,6
43.1
42.7
41.6
43.6
43.2
17
43.6
42.3
42.2
42.7
42.6
42.9
43.4
41.9
43.5
43.3
42.9
43.4
43.1
40.4
41.0
41.4
40.7
41.9
46,1
44.2
43.6
45.9
44.7
45.9
44,4
44.7
44.2
44.1
42.7
44.0
44.2
43.0
44.2
43.9
42.7
43.3
18
44.3
41.9
41.7
42.7
42.3
41.9
43.9
42.8
43.1
43.6
42.7
43.7
41.2
41.1
44.1
42.0
41.5
41.7
44.9
43.8
43.4
43.1
44.1
44.5
44.3
43.5
43.5
45.3
42.9
44.5
45.4
44.2
44.3
44.5
42.3
42.9
\TABLEJ4C.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - CONESVILLE STATION, UNIT 5
UNITED SCIENCES AUTOPROBE TEST, 1/15/98
TABLE J-4C. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Run
No.
N4
N5
Traversa
Type
straight-lip
yaw-nulled
stmight-up
yaw-nutled
Port
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Adjusted Avg. Velocity
16 R. Traverse
32.6
32.1
32.4
32.5
31.9
31.9
26.2
25.7
26.5
26.4
26.0
26.4
12 Pt. Traverse
Point Distance (in) from Wall
1
19.7
19.9
19.1
19.3
20.0
20.2
13.5
14.3
15.9
14.5
13.9
14.4
2
23.6
22.7
22.4
22.9
23.0
23.3
17.3
17.0
17.4
16.7
16.8
18.8
3
25.9
25.4
25.7
26.0
26.0
25.6
18.5
19.1
20.0
19.4
19.1
18.4
4
28.3
26.6
27.0
28.0
28.5
27.1
21.2
20.3
21.7
20.4
20.0
20.2
5
27.8
28.9
28.7
28.8
26.8
27.8
23.0
21.7
22.6
22.1
21.6
22.2
6
28.9
30.0
29.5
29.0
28.8
30.0
23.2
23.3
24.4
23.4
22.2
23.1
7
31.7
30.7
31.3
31.8
29.9
30.9
24.9
23.7
23.6
24.6
24.1
24.8
8
33.4
30.8
32.5
33.1
30.9
31.6
25.7
25.4
25.3
25.5
23.9
25.6
9 | 10
31.6
31.2
32.0
31.9
29.9
31.4
24.9
24.9
25.7
25.8
25.1
25.4
33.1
32.3
32.2
32.4
31.5
32.1
25.0
25.5
24.9
24.9
26.2
26.0
11
31.6
32.2
32.6
33.1
31.2
32.0
28.9
27.4
25.9
28.3
27.1
26.4
12
33.5
33.1
33.1
33.9
33.1
33.5
27.4
26.9
27.2
26.8
26.4
27.6
13
35.4
33.4
34.2
35.3
34.8
35.0
29.5
27.0
28.9
27.5
26.8
27.8
14
34.5
35.3
35.4
36.1
35.3
36,5
27.1
26.4
26.9
27.7
25.1
27.4
15
36.6
34.6
36.5
35.8
35.6
37.0
29.2
27.2
28.6
27.9
28.0
27.6
16
37.1
36.5
37.2
36.2
36.1
36.4
29.6
28.7
31.0
30.4
29.9
28.2
17
36.7
36.7
36.9
36.5
36.1
36.8
31.1
29.1
31.3
30.7
30.0
31.3
18
37.3
37.0
37.1
37.1
36.7
35.7
30.7
30.4
31.4
31.5
31.4
32.0
to
oa
TABLEJ4C.WK4
2-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - PICWAY STATION
UNITED SCIENCES AUTOPROBE TEST, 1/13/98
TABLE J-5. WALL EFFECTS VS. ORIGINAL (ORIG), OVERALL SUMMARY
Run
No.
3,5
4,5
6,8
7,8
9,11
10,11
Traverse Type
16 pi straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
Avg. Velocity, ft/sec
Base
37.98
37,98
37.98
37.70
37.96
37.74
38.09
38.48
37.86
37.56
38.04
38.05
Adjusted
37.22
37.14
37.09
36.78
37.18
37.03
37.03
37.34
37.21
36.90
37.28
37.22
Difference
-0.76
-0.84
-0.89
-0.92
-0.78
-0.71
-1.06
-1.14
-0.65
-0.66
-0.76
-0.83
% Difference
-2.00%
-2.21%
-2.34%
-2.44%
-2.05%
-1.88%
-2.78%
-2.96%
-1.72%
-1.76%
-2.00%
-2.18%
TABLEJ5.WK4
J-29
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - PICWAY STATION
UNITED SCIENCES AUTOPROBE TEST, 1/13/98
TABLE J-5A. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
16 PT. TRAVERSES
Port
Point
Run 3 (orig) - straight-up
Run 5 (wall) - straight-up
Difference
% Difference
Run 3 (orig) - yaw-nulled "1
Run 5 (wall) - yaw-nulled
Difference
% Difference
Run 6 (orig) - straight-up
Run 8 (wall) - straight-up
Difference
% Difference
hun 6 (orig) - yaw-nulled
ftun 8 (wall) - yaw-nulled
Difference
% Difference
Run 9 (orig) - straight-up
Run 1 1 (wall) - straight-up
Difference
% Difference
Run 9 (orig^- yaw-nulled
Run 1 1 (wall) - yaw-nulled
Difference
% Difference
Port A
1 | 2
37-7_j
37.7
37.2
37.2
37.3
37.3
37.5
37.5
36.2
36.2
36.9
36.9
37.8
37.8
36.8
36.8
36.7
36.7
35.8
35.8
37.5
37.5
36.8
36.8
3
37.2
37.2
36.3
36.3
36.3
36.3
37.4
37.4
36.2
36.2
38.1
38.1
4
30.0
28.1
-1.9
-6.3%
"3077^"
27.4
-3.3
-10.7%
29.4
27.1
-2.3
-7.8%
29.3
27.6
-1.7
-5.8%
29.8
28.0
-1.8
-6.0%
29.7
27.5
-2.2
-7.4%
PortB
5
37.9
37.9
38.5
38.5
38.1
38.1
37.9
37.9
39.9
39.9
38.2
38.2
6 J
38.4
38.4
39.4
39.4
39.9
39.9
39.3
39.3
38.9
38,9
39.7
39.7
7
39.1
39.1
37.6
37.6
37.5
37.5
8
35.2
32.6
-2.6
-7.4%
34.5
32.5
-2.0
-5.8%
34.9
33.1
-1.8
-5.2%
38.8 35.6
38.8 32.8
39.1
39.1
38.0
38.0
-2.8
-7.9%
35.5
33.0
-2.5
-7.0%
34.3
33.2
-1.1
-3.2%
PortC
9
40.9
40.9
41.9
41.9
41.3
41.3
41.5
41.5
40.7
40.7
39.1
39.1
10
43.2
43.2
42.7
42.7
42.6
42.6
42.8
42.8
42.0
42.0
42.1
42.1
11
42.6
42.6
44.0
44,0
43.0
43.0
42.1
42 A
43.2
43.2
41.9
41.9
12
38.3
34.7
-3.6
-9.4%
38.1
34.9
-3.2
-8.4%
37.9
34.5
-3.4
-9.0%
36.9
34.5
-2.4
-6.5%
37.5
34.7
-2.8
-7.5%
37.3
34.7
-2.6
-7.0%
PortD
13
36.9
36.9
36.1
36.1
37.0
37.0
36.3
36.3
36.8
36.8
36.9
36.9
14
38.2
38.2
38.8
38.8
38.9
38.9
38.4
38.4
37.7
37.7
38.0
38.0
15
40.0
40.0
39.8
39.8
40.6
40.6
39.4
39.4
40.1
40.1
38.7
38.7
16
34.3
30.2
-4.1
ฃ12.0%
35.3
30.4
-4.9
-13.9%
36.0
31.0
-5.0
-13.9%
34.9
30.4
-4.5
-12.9%
34.6
31.3
-3.3
-9.5%
35.2
30.6
-4.6
-13.1%
Average
37.98
37.22
-0.76
-2.00%
37.98
37.14
-0.84
-2.21%
37.96
37.18
-0.78
-2.05%
37.74
37.03
-0.71
-1.88%
37.86
37.21
-0.65
-1.72%
37.56
36.90
-0.66
-1.76%
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first three points at each port were taken from the corresponding
baseline. The fourth point at each port, in a bold cell, was calculated using data obtained during wall effects runs (11 near-wall data points).
TABLEJ5A.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - PICWAY STATION
UNITED SCIENCES AUTOPROBE TEST, 1/13/98
TABLE J-5B. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS
12 PT. TRAVERSES
Port
Point
Run 4 (orig)^ straight-up
Run 5 (wall) - straight-up
Difference
% Difference
Run 4 (orig) - yaw-nulled
Run 5 (wall) - yaw-nulled
Difference
% Difference
Run 7 (orig) - straight-up
Run 8 (wajl)^ straight-up
Difference
% Difference
Run 7 (orig)^ yaw-nulled
Run 8 (wall) - yaw-nulled
Difference
% Difference
Run 10 (orig) - straight-up
Run 1 1 (wall) - strajgjiikjp^
Difference
% Difference
Run 10 (orig) - yaw-nulled
Run 1 1 (wall) - yaw-nulled
Difference
% Difference
1
_j36.3i
36.3
37.1
37,1
37.4
37.4
37.6
37.6
36.5
36.5
rwj
^JJT.4
Port A
2
^37.3]
37.3
36.8
36.8
35.8
35.8
37.3
37.3
"37J~1
37.8
37.5
37.5
3
32.8
29.8
-3.0
-9.1%
30.4
29.2
-1.2
L^9%^
32.2
29.2
-3.0
-9.3%
34.0
29.6
-4.4
-12.9%
32.1
29.9
-2.2
-6.9%
32.3
29.6
-2.7
-8.4%
4
37.7
37.7
39^2,
"sasT1
39.0
39.0
38.6
38.6
38.3
38.3
37.6
37.6
PortB
5
38.1
38.1
39.8
39.8
38.3
38.3
41.0
41.0
39.6
39.6
-33^
38.9
6
35.6
34.1
-1.5
-4.2%
35.9
33.9
-2.0
-5.6%
36.4
34.2
-2.2
-6.0%
35.9
34.1
_dJLj
-5.0%
36.7
34.5
-2.2
-6.0%
34.5
34.3
_JX2j
^O6%1
7
^418i
41.8
39.3
39.3
40.6
40.6
42.1
42.1
42.2
42.2
41.8
IHHl
PortC
8
Lj43.6_
43.6
42.3
42.3
43.6
43.6
42.6
42.6
43.1
43.1
43.4
43.4
9
39.2
36.8
-2.4
-6.1%
40.4
36.7
-3.7
-9.2%
^39ir~
36.4
_-3.1_j
-7.8%
39.6
36.4
-3.2
-8.1%
39.2
36.7
-2.5
-6.4%
38.5
36.5
-2.0
-5.2%
10
37.0
37.0
36.1
36.1
37.4
37.4
37.5
37.5
37.7
37.7
38.6
38.6
PortD
11
40.2
40.2
38.6
38.6
39.6
39.6
38.9
38.9
37.8
37.8
38.4
38.4
12
36.2
32.4
-3.8
-10.5%
36.5
32.3
-4.2
-11.5%j
37.3
32.8
-4.5
-12.1%
36.6
32.4
-4.2
-11.5%
35.5
33.3
-2.2
-6.2%
37.7
32.6
-5.1
-13.5%
Average^
37.98
37.09
-0.89
-2.34%
37.70
36.78
-0.92
L^44%__
38.09
37.03
-1.06
-2.78%
38.48
37.34
-1.14
-2.96%
38.04
37.28
-0.76
-2.00%
38.05
37.22
-0.83
-2.18%
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first two points at each port were
taken from the corresponding baseline. The third point at each port, in a bold cell, was calculated using data
obtained during wall effects runs (16 near-wall data points).
TABLEJ5B.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
AEP - PICWAY STATION
UNITED SCIENCES AUTOPROBE TEST, 1/13/98
TABLE J-5C. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Run
Adjusted Avg. Velocity
16 Pt, Traverse] 12 Pt. Traverse
29.8
-1
18.7
22.6
25.6
27.1
29.9
32.9
31.7
8
Point Distance (In) from Wall
32.9
9
34.1
10
32.5
11
35.4
12
03.2,.
13
34.8
14
15
36.2
34.1
27.0
31.1
33.5
33.0
35.9
34,9
33.9
37.5
35.7
37.7
36.5
38.2
,37,7
,38.6
36.8
26.1
30.7
31.7
35.3
36.5
37.1
40.1
39.9
41.0
41.9
41.5
42.51
4Z6
32.4
6.4
27.5
30.1
32.9
34.3
34.5
36.9
35.4
36.7
38.1
37.7
38.9',
29.2
17.2
22.4
25.0
27.0
29.3
30.3
30.8
31.7
32.1
33.7
36.4
33.6 %
33.3
27.4
29.1
31.9
33.2
35.6
34.7
3S.1
36.6
38,9
37.4
36.0
37.4,1
37,4 .
36.7
26.2
30.7
33.2
34.5
37.4
35.7
40.1
40.3
41.S
41.1
42.0
41.7
42.8; <
4Z6.-,
32.3
S.4
27.1
31.3
33.7
34.2
35.0
36.3
37.0
38.4
37.4
37.2
36.51-'-.
'38.9x
29.2
17.4
21.5
24.1
26.8
28.6
28.4
32.0
31.7
33.7
34.1
35.1
34,7
3B.ง.
34.2
28.9
32.0
32.2
33.9
34.3
35.7
35.1
36.8
38.5
36.1
37.9
38.3ป.-
38.0,
36.4
24.2
30.1
33.0
35.2
36.4
37.5
38.9
39.3
32.8
7,5
28.1
31.1
33.2
34.6
37.3
36.7
37.3
40.0
36.3
40.9
-42.3
40.9 --
36.6
39.3
_3JLO_
39.3
29.6
17.4
21.6
24.4
26,2
30,5
30.9
31.8
31.7
34,7
33.5
35.3
35.6';.
38.T;
34.9*-
34.1
27.0
31.1
32.6
34.3
34.7
34.1
38.8
37.2
36.3
38.8
37.6
37.1
39.3
36.4
24.9
31.2
33.1
35.2
35.5
37.5
39.6
39.6
40.3
41.7
40.4
. 42.1 f.
41.9,,
32.4
6.4
27.2
30.6
32.5
32.2
34,7
37.1
37.3
38.5
36.3
38.7
38.8 ;
38.41
38.0*1
29.9
17.7
23.6
25.4
27.5
29.9
30.1
31.3
33.8
34.3
35.2
34.9
34.8
36.8^,
34.8
34.5
29.0
30.8
33.6
34.6
33.7
35.3
34.7
36.4
36.5
38.0
38.3
, 38.6
J38.4'
39.7
36.7
ML.
30.0
33.1
35.9
37.0
38.3
40.2
39.4
39.7
40.1
41.6
413
42,1.1'.
43.8 '
33.3
8.2
28.8
32.3
32.8
35.5
34.7
29.6
16.1
23.1
25.7
28.1
29.5
29.3
32.3
32.5
32.S
33.3
35.1
T55F"
33.2
34.3
28.1
31.0
32.6
33.8
34.7
36.3
36.8
37.8
38.0
36.7
37.2
37.2
J37.1
38.3
38.7
34.7
36.5
24.4
30.8
34.2
35.3
36.2
36.9
39.1
39.5
40.0
41.2
42.4
40.3
"'42.4
442,5
44.1
30.8
32.6
7.4
27.9
31.0
32.9
34.4
34.8
36.1
37.0
35.9
38.8
38.5
"38.6
38.5
37:2
38.4
Notes:
Data in these cells were required for calculations of adjusted average velocity values for the 12 pt. traverses, but not for the 16 pt. traverses.
Data In these cells were not required for any calculations.
TABLEJ5C.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
ALLEGHENY POWER MITCHELL STATION
UNITED SCIENCES AUTOPROBE TEST, 12/17/97
TABLE J-6. WALL EFFECTS VS. ORIGINAL (ORIG), OVERALL SUMMARY
Run
No,
1
1
2
2
3
3
4
4
Traverse Type
16 pt. straight-up
1 6 p_t. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt. straight-up
1 6 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt straight-up
1 6 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt. straight-up
16 pt^yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
Avg. Velocity, ft/sec
Base I Adjusted
20.33
20.47
29.53
28.90
33.60
33.14
29.33
29. 1 4
30.72
30.46
36.71
36.61
36.62
36.46
36.77
36.93
20.08
20.11
24.78
24.41
33.60
33.19
29.90
29.63
29.39
29.28
34,74
34.63
36.10
35.99
36.03
36.18
Difference
-0.25
-0.36
4.75
-4.49
0.00
0.05
0.57
0.49
-1.33
-1.18
-197
-198
-0.52
-0.47
-0.74
-0.75
% Difference
-1.23%
-1 .76%
-f6,09%
-15.54%
0.00%
0.15%
194%
1.68%
-4.33%
-3.87%
-5.37%
-5.4f%
-1.42%
-1.29%
-2.01%
-2.03%
Note: Data in bold and italic font did not meet the load stability criterion
and were excluded from analysis in the wall effects study.
TABLEJ6.WK4
J-33
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
ALLEGHENY POWER MITCHELL STATION
UNITED SCIENCES AUTOPROBE TEST, 12/17/97
TABLE J-6A. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS *
16 PT. TRAVERSES
Port
Point
Run 1 (orig) - straight-up
Run 1 (wall) - straight-up
Difference
% Difference
Run 1 (orig) - yaw-nulled
Run 1 (wall) - yaw-nulled
Difference
% Difference
Run 2 (orig) - straight-up
Run 2 (wall) - straight-up
Difference
% Difference
Run 2 (orig) - yaw-nulled
Run 2 (wall) - yaw-nulled
Difference
% Difference
Run 3Jprig)_- straight-up
Run 3 (wall^- straight-up
Difference
% Difference
Run 3 (orig) - yaw-nulled
Run 3 (wall) - yaw-nulled
Difference
% Difference
Run 4 (orig) - straight-up
Run 4 {wairjH straight-up
Difference
% Difference
Run 4 (orig) - yaw-nulled
Run 4 (wall) - yaw-nulled
Difference
% Difference
Port A
1
20.6
20,6
21.1
21.1
35.5
35.5
34.9
34.9
30.2
30.2
28.5
28.5
38.0
38.0
37.3
37.3
LJ^=4
20.4
20.4
20.6
20.6
35.2
35.2
34.4
34.4
28.3
28,3
29.4
29.4
36.9
36.9
36.7
36.7
3 1_4
20.1
20.1
19.1
19.1
33.7
33.7
33.9
33.9
27.6
27.6
27.8
27.8
35.4
35.4
36.3
36.3
18.7
17.0
-1.7
-9.1%
19.0
17.3
-1.7
-8.9%
26.9
27.2
0.3
1.1 %""
26.5
27.1
0.6
2.3%
33.3
28.5
-4.8
-14.4%
33.6
28.6
-5.0
-14.9%
32.9
31,0
-1.9
-5.8%
31.8
31.3
-0.5
-1.6%
PortB
5
21.3
21.3
21.7
21.7
35.6
35.6
36.1
36.1
29.6
29.6
6 I 7
21.8
21.8
21.0
21.0
36.9
36.9
35.8
35.8
30.2
30.2
29.8 I 29.9
29.8 I 29.9
-^
^_L_
38.3
38.3
37.9
37.9
38.6
38.6
37.8
37.8
20.9
20.9
21.5
21.5
34.9
34.9
34.9
34.9
30.0
30.0
29.4
29.4
37.9
37.9
37.0
37.0
8
18.5
17.9
-0.6
-3.2%
19.6
17,6
-2.0
^10.2%
29.6
28.3
-1.3
L^.4%
F28.7
28,2
-0.5
^17%1
35.1
29.3
-5.8
-16,5%
33.7
29.6
-4.1
-12.2%
PortC
9
21.4
21.4
21.4
21.4
36.1
36.1
35.4
35.4
31.2
31.2
30.0
30.0
33.3 ! 38.3
32.4
-0.9
-2.7%
34.6
32.6
-2.0
-5.8%
38.3
38.0
38.0
10
21.5
21.5
21.5
21.5
36.6
36.6
36.8
36.8
30.0
30.0
30.3
30.3
39.2
39.2
38.2
38.2
11
21.6
21.6
21.6
21.6
36.4
36.4
35.3
35.3
29.6
29.6
29.6
29.6
39.7
39.7
37.9
37.9
12
19.6
18.7
-0.9
-4.6%
19.6
18.5
-1.1
Li5.6%
28.4
29.1
0.7
2.5%
28.5
29.1
0.6
2.1%
36.0
30.8
-5.2
-14.4%
34.7
30.4
-4.3
-12.4%
35.8
33.2
-2.6
-7.3%
35.9
33.2
-2.7
-7.5%
PortD
13
20.2
20.2
20.7
20.7
35.2
35.2
34.2
34.2
29.6
29.6
29.2
29.2
36.1
36.1
14
20.4
20.4
21.0
21.0
34.8
34.8
34.1
34.1
28.8
28.8
28.8
28.8
35.9
35.9
37.1
37.1
37.6
37.6
15
20.1
20.1
19.9
19.9
34.9
34.9
33.5
33.5
28.0
28.0
28.7
28.7
35.7
35.7
35.8
35.8
16
18.2
17.4
-0.8
-4.4%
18.2
17.2
-1.0
-5.5%
~2iJ~"
27.2
0.3
1.1%
27.3
27.3
0.0
0.0%
rs4ฃ~~
28.5
-5.5
r16.2%
33.9
28.4
-5.5
-16.2%
33.9
31.0
-2.9
-8.6%
33.5
31.1
-2.4
-7.2%
Average
20.33
20.08
-0.25
-1.23%
20.47
20.11
-0.36
-1.76%
33.60
33.60
0.00
0.00%
33.14
33.19
0.05
0.15%
30.72
29.39
-1.33
-4.33%
30.46
29.28
-1.18
-3.87%
36.62
36.10
-0.52
-1.42%
36.46
35.99
-0.47
-1.29%
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first three points at each port were taken from the corresponding
baseline. The fourth point at each port, in a bold cell, was calculated using data obtained during a wail effects run (17 near-wall data points).
TABLEJ6A.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
ALLEGHENY POWER MITCHELL STATION
UNITED SCIENCES AUTOPROBE TEST, 12/17/97
TABLE J-6B. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
12 PT. TRAVERSES
Port
Point
Run 1 (prig) - straight-up
Run 1 (wall^- straight-up
Difference
% Difference _
Run 1 (orig) - yaw-nulled
Run IJwajl^- yaw-nulled
Difference
% Difference
Run 2 (orig) - straight-up
Run 2 (wall) - straight-up
Difference
% Difference
Run 2 (orig) - yaw-nulled
Run 2 (wall) - yaw-nulled
Difference
% Difference
Run 3 (orig,} - strajght-up
Run 3 (wall) - straight-up
Difference
% Difference
Run S^origl- yaw-nulled
Run 3 (walji- yaw-nulled
Difference
% Difference
Run 4 (orig) - straight-up
Run 4 (wall) - straightnjg
Difference
% Difference
Run 4 (orig) - yaw-nulled
Run 4 (wall) - yaw-nulled
Difference
% Difference
1
25.2
25.2
25.6
25.6
29.7
29.7
29.5
29.5
36.6
36.6
37.0
37.0
37.4
37.4
37.9
37.9
Port A
2
28.3
28.3
27.8
27.8
29,5
29.5
28.9
28.9
36.5
36.5
36.6
36.6
36.4
36.4
36.5
36.5
3
31.5
17.7
-13.8
-43.8%
30.2
17.9
-12.3
-40.7%
26.5
28.7
2.2
8,3%
26.6
28.6
2.0
7.5%
33.1
28.2
-4.9
-14.8%
34.2
28.6
-5.6
-16.4%
32.9
31.9
-1.0
-3.0%
33.6
32.3
-1.3
-3.9%
4
26.5
26.5
25.6
25.6
30.5
30.5
30.9
30.9
38.0
38.0
37.6
37.6
39.6
39.6
37.6
37.6
PortB
5
30.2
30.2
29.9
29.9
30.4
30.4
29.2
29.2
37.8
37.8
38.2
38.2
37.5
37.5
37.4
37.4
6
33.2
18.6
-14.6
-44.0%
33.1
18.5
-14.6
-44.1%
27.8
29.8
2.0
7.2%
28.1
29,9
1.8
6.4%
36.8
29.6
-7.2
-19,6%
35.5
29.7
-5.8
-16.3%
37.0
33.3
-3.7
-10,0%
35.5
33.8
-1.7
-4.8%
7
27.2
27.2
26.4
26.4
30.3
30.3
30.6
30.6
39.1
39.1
37,9
37.9
37.6
37.6
39.5
39.5
PortC
8
31.9
31.9
30.5
30.5
31.4
31.4
30,9
30.9
38.5
38.5
37.3
37.3
38.6
38.6
38.7
38.7
9
33.9
19.3
-14.6
W3.1%
32.8
19.2
-13.6
L41.5%
28.6
30.7
2.1
7.3%
29.5
30.6
1.1
3.7%
36.2
30,5
-5.7
-15.7%
36.9
30.5
-6.4
-17.3%
36.3
34.3
-2.0
-5,5%
37.1
34.2
-2.9
-7.8%
10
25.6
25.6
24.9
24.9
28.9
28.9
28.3
28.3
36.6
36.6
36.7
36.7
37.0
37.0
36.6
36.6
PortD
11
28.9
28.9
28.7
28.7
30.1
30.1
29.2
29.2
36.9
36.9
37.1
37.1
36.7
36.7
37.4
37.4
12
31.9
18.0
-13.9
-43.6%
31.3
17.9
-13.4
-42.a%
28.3
28,8
0.5
1.8%
28.0
28.9
0.9
3.2%
34.4
28.6
-5.8
-16.9%
34.3
28.4
-5.9
-17.2%
34.2
32.1
-2.1
-6.1%
35.4
32.2
-3.2
-9.0%
Average_
29.53
24.78
-4.75
-16.09%
28.90
24.41
-4.49
-15.54%
29.33
29.90
0.57
1.94%
29.14
29.63
0.49
1.68%
36.71
34.74
-1.97
-5.37%
36.61
34.63
-1.98
-5.41%
36.77
36.03
-0.74
-2.01%
36.93
36.18
-0.75
-2.03%
NOTE: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first two points at each port were
taken from the corresponding baseline. The third point at each port, in a bold cell, was calculated using data obtained
during a wall effects run (18 near-wall data points).
TABLEJ6B.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
ALLEGHENY POWER MITCHELL STATION
UNITED SCIENCES AUTOPRQBE TEST, 12/17/97
TABLE J-6C. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Run
No,
1
2
3
4
Traversa
Type
straight-tip
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
Port
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Adjusted Avg. Velocity
16 Pt Traverse
17.0
17.9
18.7
17.4
17.3
17.6
18.5
17.2
27.2
28.3
29.1
27.2
27.1
28.2
29.1
27.3
28.5
29.3
30.8
28.5
28.6
29.6
30.4
28.4
31.0
32.4
33.2
31.0
31.3
32.6
33.2
31.1
12 Pt Traverse
17.7
18.6
19.3
18.0
17.9
18.5
19.2
17.9
28.7
29.8
30.7
28.8
28.6
29.9
30.S
28.9
28.2
29.6
' 30.5
28.S
28.6
29.7
30.5
28.4
31.9
33.3
34.3
32.1
32.3
33.8
34.2
32.2
Point Distance (In) from Wai!
1
13.7
13.6
15.2
13.2
14.1
13.2
15.4
12.3
19.1
18.9
20.2
17.6
19.2
18.6
20.8
17.6
25.3
22.8
25.9
22.5
24.3
23.4
24,i
22.6
25.5
24.2
25.1
23.2
25.1
23.5
26.9
22.5
2
14.6
15.2
15.8
15.0
15.2
14.5
16.0
14.5
20.6
20.5
22.2
20.5
21.1
21.5
22.4
20.6
26.6
27.4
29.1
27.2
27.4
27.4
29.0
27.1
27.1
26.5
28.4
25.6
27.4
28.3
28.9
25.5
3
15.5
15.8
16.8
15.3
16.0
15.1
17.1
15.7
22.1
22.5
24.2
22.1
21.8
22.9
24.8
21.7
29.7
29.7
31.5
28.8
30.5
29.8
31.1
28,0
27.5
28.6
31.4
27.0
29.6
29.9
31.4
28.4
4
16.2
16.9
18.3
16.3
16.2
16.6
18.0
16.3
24.2
25.7
27.2
25.0
24.5
25.5
25.6
24.2
29.5
30.6
31.8
29.8
30.1
30.8
31.8
30.2
30.4
5
17.2
19.0
18.6
16.9
16.4
17.2
18.9
17.5
25.5
26.1
26.6
25.4
24.4
26.3
27.8
25.8
30.4
31.9
33.7
L_29-7
31.3
30.6
33.2
32.0
31.2
31.4 | 32.2
31.9
29.1
30.2
32.7
31.8
29.9
32.1
30.3
31.2
32.1
32.8
31.8
6
16.9
19.2
19.1
17.5
17.8
17.3
18.6
18.1
25.1
27.0
2S.3
24.7
24.3
26.6
26.7
24.4
7 I 8
17.4
19.0
19.2
18.2
17.5
18.2
19.3
17.8
25.6
26,4
27.1
24.8
24.8
26.2
27.3
24.8
32.3 I 32.1
32.4 I 34.1
34.0 34.5
31.9 1 32.7
31.3
33.2
33.9
32.1
30.9
33.3
34.7
32.3
31.9
32.8
33.1
32.2
32.9
34.1
35.1
31.7
33.6
34.3
34.1
33.0
32.2
33.3
34.3
32.4
17.8
19.3
20.1
17.9
17.6
18.0
19.3
18.3
24.3
26,0
26.5
24.1
25.0
25.2
26.3
24.8
31.8
34.6
34.8
32.3
32.9
34.5
33.9
31.1
31.8
35.0
34.5
33.0
31.9
34.8
35.0
33.0
9
19.1
19.3
19.6
18.7
18.0
19.7
19.4
18.4
30.5
32.8
33.1
32.1
31.6
33.0
32.6
319
32.2
33.7
36.5
32.4
33.5
34.1
33.9
32.4
31.5
35.4
34.8
33.0
33.0
33.6
34.5
34.2
10
18.4
19.7
20.2
19.4
19.4
19.3
20.1
19.4
31.5
33.7
33.6
31.9
32.4
32.2
33.7
32.5
30.6
33.5
34.3
31.5
30.8
34.0
34.6
31.6
34.7
34.9
35.8
34,8
33.3
34.5
35.9
33.8
11
17.7
19.6
21.1
19.2
18.8
19.8
20.5
18.5
32.5
33.0
34.6
32.9
32,1
33.0
34.8
32.5
30.6
31.2
32.8
30.4
29.9
31.9
31.4
30.7
33.2
35.6
37.4
33.8
33.7
36.2
37.2
34.2
12
18.6
19.4
20.2
19.0
19.1
19.2
20,5
19.7
32.7
32.9
34.9
32.3
31.8
33.1
34.5
32.0
28.8
29.2
31.7
28.7
27.9
28.6
30.7
28.9
34:8
35.8
37.1
34.7
33.2
37.0
37.6
35.0
13
18.5
19.6
20.8
19.2
19.9
20.6
20.0
18.6
33.4
34.5
34.5
32.7
33.5
34.3
34.6
32.8
27.6
28.5
29.5
28.2
27.8
28.4
28.6
27.3
33.4
36.2
37.0
35,1
35.3
37.1
36.5
35.1
14
18.9
19.5
20.4
19.5
18.7
19.9
20.4
19.1
32.5
34.4
34.4
33.4
32.3
34.2
35.0
34.0
27.7
29.0
30.6
28.6
28.4
28.5
30.5
28.6
33.4
36.3
35.8
35.0
15
18.8
20.6
20.8
19.6
19.1
20.7
20.7
19.5
33.4
34.0
35.8
33.6
32.7
34.6
34.8
33.0
27,9
28.2
29.6
28.6
27.9
28.7
30.6
28.2
33.8
35.7
37.2
34.1
34.3 ! 35.5
37.1
37.1
34.5
38.0
36.0
34.9
18
19.6
19.6
21.3
20.2
19.8
20.0
21.1
19.7
33.1
33.7
35.9
33.5
33.3
34.7
35.1
34.0
26.8
29.2
30.3
28.0
27.4
31.0
29.9
28.2
36.0
36.5
38.3
35.4
35.4
38.0
37.5
34.7
17
19.5
19.7
21.4
20.4
19.8
20.1
20.5
19.7
33.5
35.1
35.5
33.2
32.9
34.6
35.5
3ง:?
28.6
28.8
29.7
28.2
27.3
30.8
29.7
27.8
35.7
37.6
37.7
35.4
35.7
35.9
37.5
34.9
18
K-18.M
S2O8S'
W.0'4
120,0 ?
25T87TT
3$3L\
;|2ll "
?19.9
12MII
34,64$
^38.8 i
Isaii
,.233.0 ',-
ป:34.9'
^35;1.
^'33.9 4
J527.7 '
$30.1 i
- 29,7 '*
^28,9 '
"1E5T
v36.1 .
30,8 -
fc-28.4i
34.8
36,1
If 37.7
-: 35.6
,3ฃ4~
,36.9 '
J37.6
' 35.3'"
Note:
Data in these cells were required for calculations of adjusted average velocity values for tie 12 pt. traverses, but not for the 16 pt. traverses.
TABLEJ6C.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7. WALL EFFECTS VS. ORIGINAL (ORIG), OVERALL SUMMARY
Run
No.
2,4
3,4
5,7
6,7
8,10
9,10
N1
N2
N3
N4
N5
N6
N7
N8
N9
N10
Traverse Type
16 pt, straight-up
16 pt. vaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
12 pt. straight-up
12 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
1 6 pt. yaw-nulled
16 pt, straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
16 pt. straight-up
16 pt. yaw-nulled
Avg. Velocity, ft/sec
Base
33.46
33.19
32.46
32.35
3166
31.22
31.68
31.52
32.46
32.39
30.63
30.48
30.71
30.51
28.84
28.53
30.83
30.49
19.96
19.91
18.83
18.73
18.24
18.11
18.25
18.09
18.10
17.96
21.83
21.89
32.89
32.66
Adjusted
32.46
32.15
31.75
31.60
30.90
30.6f
30.65
30.36
31.67
31.53
29.69
29.39
30.20
29.90
28.61
28.27
30.24
29.86
19.71
19.56
18.51
18.48
17.96
17.75
17.93
17.81
17.84
17.61
20.97
20.84
32.34
31.99
Difference I % Difference
-1.00
-1.04
-0.71
-0.75
-0.76
-0.6f
-1.03
-1.16
-0.79
-0.86
-0.94
-1.09
-0.51
-0.61
-0.23
-0.26
-0.59
-0.63
-0.25
-0.35
-0.32
-0.25
-0.28
-2.99%
-3.13%
-2.19%
-2.32%
-2.40%
-1,95%
-3.25%
-3.68%
-2.43%
-2.66%
-3.07%
-3.58%
-1.66%
-2.00%
-0.80%
-0.91%
-1.91%
-2.07%
-1.25%
-1.76%
-1.70%
-1.33%
-1.54%
-0.36 | -1.99%
-0.32
-0.28
-0,26
-0.35
-0.86
-1.05
-0.55
-0.67
-1.75%
-1.55%
-1.44%
-1.95%
-3.94%
-4.80%
-1.67%
-2.05%
Note: Data in bold and italic font did not meet the load stability criterion
and were excluded from analysis in the wall effects study.
TABLEJ7.WK4
J-37
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7A, VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
16 PT. TRAVERSES
Test
Date
Day-time
02/05/98
Day-time
02/05/98
5 (
i>
00
Day-time
02/05/98
Over-night
02/04-05/98
Port
Point
Run 2 (orig) - straight-up
Run 4 (wall) - straight-up
Difference
% Difference
Run 2 (orig) - yaw-nulled
Run 4Jwall) - yaw-nulled
Difference
% Difference
Run 5 (orig) - straight-up
Run 7 (wall) - straight-up
Difference
% Difference
Run 5 (orig^- yaw-nulled
Run 7 (wall) - yaw-nulled
Difference
% Difference
Run 8 (orig) - straight-up
Run 10JwalQ - straight-up
Difference
% Difference
Run 8 |prig) - yaw-nulled
Run lOJwalj) - yaw-nulled
Difference
% Difference
Run N1 (orig) - straight-up
Run N1 (wall) - straight-up
Difference
% Difference
Run N1 (orig) - yaw-nulled
Run N1 (wall) - yaw-nulled
Difference
% Difference
Port A
1
34.7
34.7
33.9
33.9
32.7
32.7
32,1
32.1
34.8
34.8
34.8
34.8
32.3
32.3
32.3
32.3
2 I 3
36.0
36.0
35.0
35.0
33.9
33.i
32.8
32.8
36.3
36.3
35.7
35.7
34.0
34.0
35,9
35.9
35.0
35.0
33.4
33.4
32.5
32.5
33,3
33.3
32.9
32,9
31.0
31.0
33,2 I 30.4
33.2 I 30.4
i
4
27.0
23.4
-3.6
-13.4%
27,0
23.3
-3.7
-13.6%
25.3
23.2
-2.1
-8.3%
24.7
23.3
-1.4
-5.9%
23.4
21.4
-2.0
-8.4%
24.5
21.4
-3.1
-12.5%
24.3
22.9
-1.4
-5.6%
24.9
23.0
-1.9
-7.8%
PortB
5
36.3
36.3
36.2
36.2
34,f
34.f
34.8
34.8
36.7
36.7
36.7
36.7
34.2
34.2
33.6
33.6
6_J_ 7
34.9
34.9
35.2
35.2
33.6
33.6
33.3
33.3
35.4
35.4
35.7
35.7
33.3
33.3
32.3
32.3
33.8
33.8
32.8
32.8
316
316
316
316
32.1
32.1
31.9
31.9
30.0
30.0
29,6
29.6
8
25.8
22.4
-3.4
-13.3%
26.1
21.7
-4.4
1-17.0%
24.9
22.0
-2.9
11.8%
24.5
21.5
-3.0
-12.2%
23.9
20.3
-3.6
-15.0%
23.7
20.1
-3.6
-15.0%
24.4
22.7
-1.7
-6.8%
24.8
22.0
-2.8
-11.4%
PortC
9
37.5
37.5
37.4
37.4
35.5
35.5
35.2
35.2
38.0
38.0
^8.7
38.7
35.2
35.2
34.6
34.6
10
37.2
37.2
37.3
37.3
35.3
35.3
35.3
35.3
38.3
38.3
37.5
37.5
35.0
35.0
34.8
34.8
11
36.8
36.8
36.1
36.1
34.2
34.2
34.7
34.7
34.3
34.3
34.1
34.1
32.0
32.0
31.6
31.6
12
27.7
22.8
-4.9
-17.8%
27.7
22.4
-5.3
-19.2%
27.0
22,f
-4.9
-18.1%
26.0
22.2
-3.8
-14.4%
25.1
20.6
-4.5
-18.0%
25.2
20.6
-4.6
-18.4%
26.0
22,4
-3.6
14.0%
26.0
22.5
-3.5
13.5%
PortD
13
35.4
35.4
35.0
35.0
33.6
33.6
32.6
32.6
35.2
35.2
14
34.7
34.7
35.5
35.5
33. 1
33.1
33.0
33.0
35.6
35.6
i
35.4
35,4
35.4
35.4
32.6 [ 32.4
J2.6,
32.5
32.5
32.4
32.8
32.8
i
I
15
33.7
33.7
33.6
33.6
32.2
32.2
31.1
31.1
32.4
32.4
31.8
31.8
29.5
29.5
29.6
29.6
16
27.9
24,0
-3.9
.-(a Q%
27.3
24.0
-3.3
-12.2%
26.2
23.9
-2.3
-8.6%
25.3
23.8
-1.5
-6.0%
24.6
22.1
-2.5
-10.3%
24.3
21.7
-2.6
-10.7%
25.2
23.7
-1.5
-5.8%
25.2
23.6
-1.6
-6.3%
Average
33.46
32.46
-1.00
-2.99%
33.19
32.15
-1.04
-3.13%
3166
30.90
-0.76
-2.4096
31.22
30.61
-0.61
-1.95%
32.46
31.67
-0.79
-2.43%
32.39
31.53
-0.86
-2.66%
30.71
L 30.20
-0,51
-1.66%
30.51
29.90
-0.61
-2.00%
TABLEJ7A.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7A. VELOCITY (FRS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
M 16 PT. TRAVERSES
Test
Date
Over-night
02/04-05/98
Over-night
02/04-05/98
1 *
I
* Over-night
02/04-05/98
Over-night
02/04-05/98
Port
Point
Run N2 (orig) - straight-up
Run N2 (wail) - straight-up
Difference
% Difference
Run N2 (orig) - yaw-nulled
Run N2 (wall) - yaw-nulled
Difference
% Difference
Run N3 (orig) - straight-up
Run N3 (wall) - straight-up
Difference
% Difference
Run N3 (orig) - yaw-nulled
Run N3 (wall) - yaw-nulled
Difference
% Difference
Run N4Jprig) - straight-up
Run N4 (wall) - straight-up
Difference
% Difference 1
Run N4 (orig) - yaw-nulled
Run N4 (wall) - yaw-nulled
Difference
% Difference
Run N5 (orig) - strajght-up
Run N5 (wall) - straight-up
Difference
% Difference
Run N5 (orig) - yaw-nulled
Run N5 (wall) - yaw-nulled
Difference
% Difference
Port A
1
28.5
28.5
28.8
28.8
33.7
33.7
34.1
34.1
20.2
20.2
20.0
n2OCT
2
31.1
31.1
30.8
30.8
34.4
34.4
34.0
34.0
21.4
21.4
n
31.8
31.8
30.8
30.8
32.2
32.2
31.9
31.9
19.4
19.4
i
20.9
20.9
I
20.5
20.5
20.7
20.7
19.6
19.6
19.4
19.4
19.0
19.0
18.0
18.0
18.5
18.5
4 _,
22.4
22.5
0.1
0.5%
22.8
22.2
-0.6
-2.5%
21.5
19.5
-2.0
-9.3%J
21,5
19.4
UM_
-9.6%
16.0
15.9
-0,1
-0.4%
16.6
15.9
-0.7
-4.0%
13.2
12.4
-0,8
-5.7%
~~i2in
12.1
-0.8
-6.4%
PortB
5
29.7
29.7
29.7
29.7
36.1
36.1
35.6
35.6
22.1
22.1
22.2
22.2
22.2
22.2
22.4
22.4
6
30.9
30.9
30.5
30.5
33.7
33.7
32.8
32.8
21.7
21.7
21.7
21.7
20.8
20.8
20.6
20.6
7
31.2
31.2
29.5
29.5
30.9
30.9
30.0
30.0
20.3
20.3
19.9
19.9
19.9
19.9
19.6
19.6
8
22.9
22.1
-0.8
-3.6%
22.4
21.4
-1.0
h_^_
22.1
19.2
-2.9
-12.9%
21.2
18.9
-2.3
-10.7%
17.7
16.5
-1.2
-6.9%
18.1
16.2
-1.9
-10.5%
15.6
13.9
-1.7
-10.8%
15.3
13.8
-1.5
-10.0%
PortC
9
31.2
31.2
30.8
30.8
37.5
37.5
36.9
36.9
22.0
22.0
21.7
21.7
23.2
23.2
22.8
22.8
10 I 11
32.5
32.5
32.2
32.2
35.8
35.8
36.2
36.2
22.8
22.8
r 12
32.1 | 23.5
32.1
32.4
21.4
-2.1
-9.0%
23.8
32.4 I 21.7
33.1
33.1
32.6
32.6
21.4
21.4
I
22.6
22.6
21.2
21.2
21.3
21.3
21.0
21.0
20.6
20.6
20.3
20.3
L-2.1
-8.8%
21.9
19.3
-2.6
-11.9%
22.8
19.4
-3.4
-15.1%
18.0
16.1
-1.9
-10.6%
18.2
16.1
-2.1
-11.4%
15.3
13.4
-1.9
-12.5%
15.0
13.5
-1.5
-9.9%
PortD
13
28.9
28.9
28.4
28.4
35.1
35.1
33.8
33.8
21.0
21.0
20.1
20.1
20.8
20.8
21.5
21.5
14 LJ5__
30.6
30.6
29.8
29.8
32.8
32.8
32.9
32.9
20.2
20.2
20.6
20.6
19.4
19.4
19.3
19.3
30.3
30.3
30.4
30.4
30.5
30.5
29.8
29.8
17.9
17.9
18.5
18.5
17.4
17.4
17.3
17.3
16
23.9
23.0
-0.9
-3.8%
23.4
22.9
-0.5
-2.2%
22.0
20.0
-2.0
-9.2%J
21.7
19.4
-2.3
r10.4%
17.3
16.5
-0.8
-4.6%
17.5
16.5
-1.0
J|.6%
13.6
12.9
-0.7
-5.5%
12.7
12.7
-0.0
-0.3%
Average
28.84
28.61
-0.23
-0.80%
28.53
28.27
-0.26
-0.91%
30.83
30.24
-0.59
-1.91%
30.49
29.86
-0.63
-2.07%
19.96
19.71
-0.25
-1.25%
19.91
19.56
-0.35
-1.76%
18.83
18.51
-0.32
-1.70%
18.73
18.48
-0.25
-1.33%
TABLEJ7A.WK4
2-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7A. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
16 PT. TRAVERSES
Test
Date
Over-night
02/04-05/98
Over-night
02/04-05/98
ฑ
0 Over-night
02/04-05/98
Over-night
02/04-05/98
Port
Point
Run N6 (orig) - strajght-uj>
Run N6 (wajl) - straight-up
Difference
% Difference
Run N6 (orig) -^aw-nulled
Run N6 (wair[- yaw-nulled
Difference
% Difference
Run N7^qrjgjh^straight-UฃL
Run N7 (walljj^straight-up
Difference
% Difference
Run N7 (orig) -^yaw-nulled
Run N7 (wall) - yaw-nulled
Difference
% Difference
Run N8 (orig) - straight-up
Run N8 (wall) - straight-up
Difference
% Difference
Run N8 (orig) - yaw-nulled
Run N8 (wall) - yaw-nulled
Difference
% Difference
Run N9 {orig) - straight-up
Run N9 (wall) - straight-up^
Difference
% Difference
Run N9 (orig) - yaw-nulled
Run N9 (wall) - yaw-nulled
Difference
% Difference
Port A
1
17.8
17,8
18.3
18.3
18.0
18.0
18.3
18.3
17.5
17.5
18.0
18.0
18.7
18.7
19.4
19.4
2
18.9
18.9
18.5
18.5
19.2
19.2
18.6
18.6
18.7
18.7
18.5
18.5
20.4
20.4
19.7
19.7
3
18.1
18.1
17.6
17.6
17.9
17.9
18.1
18.1
17.9
17.9
17.4
17.4
19.3
19.3
19.2
19.2
4
13.2
12.4
-0.8
-6.0%
13.3
12.2
-1.1
-8.5%
13.1
12.3
-0.8
-6.0%
13.3
12.4
-0.9
-6.7%
13.0
12.4
-0.6
-4.7%
13.2
12.1
-1.1
-8.1%
25.3
22.2
-3.1
-12.1%
25.6
21.9
-3.7
-14.4%
PortB
5
19.8
19.8
20.2
20.2
20.1
20.1
20.4
20.4
19.8
19.8
20.7
20.7
21.0
21.0
21.2
21.2
6
20.9
20.9
20.2
20.2
21.1
21.1
20.0
20.0
__oS_1
20.5
20.0
20.0
22.2
22.2
21.9
21.9
7
20.4
20.4
19.3
19.3
20.5
20.5
19.5
19.5
20.5
20.5
19.7
19.7
21.2
21.2
20.6
20.6
8
14.8
14.1
-0.7
-4.5%
15.2
13.8
-1.4
-9.0%
15.8
14.1
-1.7
-10.6%
15.0
14.0
-1.0
-6.7%
15.2
14.1
-1.1
-7.3%
15.2
14.0
-1,2
-7.9%
25.5
22.6
-2.9
-11.4%
25.3
21.4
-3.9
-15.3%
PortC
9
20.6
20.6
20.0
20.0
20.7
20.7
20.9
20.9
20.7
20.7
20.3
20.3
21.4
21.4
21.4
21.4
10
21.0
21.0
21.1
21.1
21.2
21.2
21.1
21.1
21.1
21.1
20.8
20.8
22.8
22.8
22.2
22.2
11
21.0
21.0
20.9
20.9
12
15.3
13,7
-1.6
-10.4%
15.6
13.6
-2.0
-12.5%
20.5 I 15.4
20.5 I 13.5
-1.9
Jj2.4%
20.9
20.9
20.7
20.7
20.1
20.1
21.6
21.6
21.6
21.6
15.7
13.6
-2,1
-13.3%
15.4
13,6
-1.8
-11.8%
15.8
13.5
-2.3
-14.4%
26.6
21.9
-4.7
-17.6%
PortD
13
19.1
19.1
18.9
18.9
19.1
19.1
14
19.0
19.0
18.6
18.6
18.2
18.2
18.7 I 18.9
18.7
18.8
18,8
18.4
18,4
19.4
19.4
26.3 I 19.2
21.6 I 19.2
-4.7
dSLP_%J___
18.9
18.5
18.5
18.0
18.0
19.4
19.4
20.3
20.3
15
17.4
17.4
17.8
17.8
17.1
17.1
16.9
16.9
17.8
17.8
17.4
17.4
18.8
18.8
19.4
19.4
16
14.6
13.1
-1.5
-10.1%
14.2
12.9
-1.3
-9.3%
14.1
13.3
-0.8
-5.6%
13.1
12.6
-0.5
-3.9%
13.5
12.8
-0.7
-5.0%
13.9
12.9
-1.0
-7.5%
25.7
22.6
-3.1
-12.1%
26.9
22.4
-4.5
-16.6%
Average
18,24
17.96
-0.28
-1.54%
18.11
17,75
-0,36
-1.99%
18.25
17.93
-0.32
-1.75%
18.09
17.81
-0.28
-1.55%
18.10
17.84
-0.26
-1.44%
17.96
17.61
-0,35
-1.95%
21.83
20.97
-0.86
-3.94%
21.89
20.84
-1.05
-4.80%
FABLEJ7A.WK4
3-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7A. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (ORIG) AND WALL EFFECTS-ADJUSTED (WALL) RUNS*
16 PT. TRAVERSES
Test
Date
Over-night
02/04-05/98
Port
Point
Run NIOJorig) - strajght-up
Run N10 (wall) - straight-up
Difference
% Difference
Run N10 (orig) - yaw-nulled
Run N10 (wall) - yaw-nulled
Difference
% Difference
Port A
_1^LL
_32J
32.7
32.0
32.0
34.3
r34ir~
33.5
33.5
3
36.4
36.4
36.4
36.4
4
28.1
25.7
-2.4
-8.4%
27.4
25.4
-2.0
-7.3%
PortB
5
34.2
34.2
34.6
34.6
6
33.6
33.6
33.3
33.3
7
35.4
35.4
34.7
34.7
8
27.0
24.6
-2.4
-8.9%
27.1
24.0
-3.1
-11.4%
PortC
9
35.4
35.4
35.5
35.5
10 j 11
35.2
35.2
35.6
35.6
37.1
37.1
37.0
37.0
12
27.3
24.8
-2.5
-9.2%
28.1
24.8
-3.3
-11.8%
PortD
13
33.4
33.4
32.8
32.8
14
33.4
33.4
32.5
32.5
15
35.2
35.2
33.7
33.7
16
27.6
26.0
-1.6
-5.8%
28.4
26.1
-2.3
-8.2%
Average
32.89
32.34
-0.55
-1.67%
32.66
31.99
-0.67
-2.05%
* Notes: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first three points at each port were taken from the corresponding
baseline. The fourth point at each port, in a bold cell, was calculated using data obtained during wall effects runs (11 near-wall data points).
Data in bold and italic font did not meet the load stability criterion and were excluded from analysis in the wall effects study.
TABLEJ7A.WK4
4-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7B. VELOCITY (FPS) BY EQUAL AREA SECTOR FOR ORIGINAL (OR1G) AND WALL EFFECTS-ADJUSTED (WALL) RUNS
12 PT. TRAVERSES
Port
Point
Run 3 (orifl) - straight-jup
Run 4 (wall) - straight-up
Difference
% Difference
Run 3 (oricO^_yaw-nulled
Run 4 (wall) - yaw-nulled
Difference
% Difference
Run 6 (orig) - straight-up
Run 7 (wall) - straight-up
Difference
% Difference
Run 6 (orig) - yaw-nulled
Run 7 (wall) - yaw-nulled
Difference
% Difference
Run 9jorig) - straight-up
Run 10 (wa]l) - strajgjit-up
Difference
% Difference
Run 9 (orig) - yaw-nulled
Run 1 0 (wall) - yaw-nulled
Difference
% Difference
1
34.7
34.7
34.2
34.2
32.9
32.9
32.4
32.4
31.2
31.2
L_3!2__
31.2
Port A
2
34.4
34.4
34.2
34.2
34.0
34.0
33.1
33.1
32.7
32.7
32.5
32.5
3
27.6
25.5
-2.1
-7.5%
27.4
25.5
-1.9
-7.1%
27.4
24.8
-2.6
-9.5%
27.6
24.7
-2.9
-10.6%
26.7
23.9
-2.8
-10.6%
27.2
23.8
-3.4
-12.7%
4
~~3ao~"
36.0
35.8
35.8
34.2
34.2
34.0
34.0
32.4
J*M_
32.7
32.7
PortB
5
33.5
33.5
33.6
33.6
jm^
33.0
32.0
32.0
32.5
32.5
31.5
31.5
6
26.8
24.6
-2.2
-8.0%
26.8
23.9
-2.9
-10.9%
26.6
23.6
-3.0
-11.3%
26.8
23.1
-3.7
-13.7%
25.8
22.7
-3.1
-11.9%
25.5
22.4
-3.1
-12.2%
7
37.1
37.1
37.6
37.6
35.2
35.2
35.8
35.8
34.7
34.7
33.9
33.9
PortC
8
35.5
35.5
"351T1
35.8
34.8
34.8
34.7
h^4J~
34.5
34.5
34.5
34.5
9
28.3
25.3
-3.0
-10.6%
28.4
25.0
-3.4
-12.0%
28.0
24.0
^4.0,
-14.1%
28.8
24.2
-4.6
-15.9%
26.7
23.3
-3.4
-12.6%
26.9
23.3
-3.6
-13.2%
10
35.4 ,
35.4
34.9
34.9
33.4
33.4
33.0
33.0
31.9
31.9
32.1
32.1
PortD
11
33.1
|33.1_
33.2
33.2
33.0
33.0
_32.5J
32.5
32.4
32.4
31.2
31.2
12
27.1
25.8
-1.3
-4-9%_
26.3
25.6
-0.7
-2.8%
27.7
24.9
l_^8_j
-10.1%
27.5
24.8
-2.7
-9.7%
26.0
24.0
-2.0
-7.7%
26.6
23.6
-3.0
-11.3%
Average
32.46
31.75
-0.71
-2.19%
32.35
31.60
-0.75
-2.32%
31.68
30.65
-1.03
-3.25%
31.52
30.36
-1.16
-3.68%
30.63
29.69
-0.94
-3.07%
30.48
29.39
-1.09
-3.58%
Note: In order to calculate the average velocity for a wall effects-adjusted run, the values for the first two points at each port were
taken from the corresponding baseline. The third point at each port, in a bold cell, was calculated using data
obtained during wall effects runs (15 near-wall data points).
TABLEJ7B.WK4
1-11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7C. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Test
Date
Day-time
02/05/98
bay-time
02/05/98
Day-time
02/05/98
c-~t
*.
U)
dver-night
02/04-05/98
Over-night
02/04-05/98
Run
No.
4
1
10
N1
N2
Traverse
Type
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
Port
A
B
c
D
A
B
C
D
A
B
C
L^ฃ^
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Adjusted Avg. Velocity
16 Pt. Traverse
23.4
22.4
22.8
24.0
23.3
21.7
22.4
24.0
23.2
22.0
22.1
23.9
23.3
21.5
22.2
23.8
21.4
20.3
20.6
22.1
21.4
20.1
20.6
21.7
22.9
22.7
22.4
23.7
23.0
22.0
22.5
23.6
22.5
22.1
21.4
23.0
22.2
21.4
21.7
22,9
12 Pt. Traverse
25.5
24.6
25.3
25.8
25.5
23.9
25.0
25.6
24.8
23.6
24.0
24.9
24.7
23.1
24.2
24.8
23.9
22.7
23.3
24.0
23.8
22.4
23.3
23.6
Point Distance (in) from Wall
1
18.4
15.3
13.7
20.6
18.1
14.6
13.2
20.3
19.7
16.0
14.2
22.9
20.1
15.8
14.3
22.0
16.2
13.8
11.5
19.0
16.4
11.4
18.1
17.4
16.6
14.1
19.7
17.4
18.1
13.6
20.0
19.2
17.9
14.3
21.4
TSD
17.6
14.6
21.6
2 | 3
18.4
15.3
13.7
-S5]S
18.1
14.6
13.2
20.3
19.7
16.0
14.2
uJ2Jl_
20.1
15.8
14.3
22.0
16.2
13.8
11.5
19.0
16.4
13.2
11.4
18.1
17.4
16.6
14.1
19.7
17.4
16.1
13.6
20.0
19.2
17.8
14.3
21.4
19.0
17.6
14.6
21.6
18.4
15.3
13.7
~2W~
18.1
14.6
13.2
20.3
1ง.7
16.0
14.2
22.9 _
~2fp| i
15.8
14.3
22.0
I 6.2
13.8
11.5
19.0
16.4
13.2
11.4
18.1
17.4
16.6
14.1
19.7
17.4
16.1
13.6
20.0
19.2'
17.9
14.3
21.4
19.0
17.6
14.6
21.6
4
21.8
22.2
22.5
23.6
22.6
22.2
22.1
23.6
21.3
21.9
21.5
22.5
21.0
20.7
21.3
"22:5 '
26.1
19.9
20.0
20.4
19.8
19.9
20.2
20.8
20.9
23.0
22.0
23.1
21.8
21.4
21.9
22.6
23.0
23.4
22.6
23.2
~~zzu
22.9
22.9
24.6
5
24.2
24.3
25.2
25.6
24.5
23.9
25.1
24.6
23.8
24.3
24.2
25.3
24.6
23.8
25.5
25.8
21.6
21.7
22.7
L_22.5
21.4
21.5
22.0
22.8
23.9
24.1
24.4
25.5
24.3
23.7
25.4
24.6
23.1
23.3
24.1
23.9
6
26.2
25.7
26.8
26.1
25.3 1
-ggj-i
26.5
26.7
26.5
26.1
27.3
25.9
~~2B1>
25.8
27.5
26.7
23.0
23.2
24.3
23.6
23.1
23.2
24.2
23.1
25.8
26.0
26.4
25.6
25.3
25.6
~26^~~
26.3
23.ft
24.0
24.4
24.5
7
26.8
27.8
28.7
27.4
27.3
25.3
27.6
27.5
27.9
26.8
r~25A
27.3
~27T3
26.6
28.8
27.1
24.1
24.1
25.3
23.9
24.1
24.2
25.0
24.2
27.3
27.4
27.3
27.3
26.9
26.6
28.3
27.2
25.2
25.0
25.4
24.8
23.1 | 23.7 | 25.0
23.4
24.4
23.4
23.2 | 24.7
24.8
23.7
25.8
-g^-g
8
28.5
27.1
29.6
28.4
28.6
27.6
29.5
28.9
26.2
26.6
27.5
25.6
25.7
25.6
27.7
26.8
25.7
25.3
27.4
26.4
r~Z51i
25.2
27.2
24.5
28.1
28.1
29.0
28.2
29.0
27.0
' "28.9
27.9
26.3
26.0
26.3
25.7
9
29.2
29.1
30.2
28.3
29.4
27.6
29.9
28.0
28.1
26.7
28.7
26.6
27.5
26.8
28.1
26.5
28.6
26.1
28.1
26.6
27.4
26.4
28.3
27.0
29.9
29.0
29.8
1~193~
29~-3
27.4
29.7
28.5
27.5
27.0
27.9
26.0
25.8 I 27.1
25.0
26.7
25.9
25.1
28.2
26.9
10
30.0
29.5
31.0
29.1
11
31.5
30.7
32.5
29.6
29.5 | 31.2
28.6
31.0
28.9
29.9
29.3
30.5
28.2
30.0
28.5
30.6
28.5
28.4
27.0
28.3
26.8
28.1
26.9
29.1
26.9
29.8
29.2
30.4
^29.2
29.9
28.0
31.0
28.6
27.3
26.9
28.3
26.8
27.5
26.8
28.5
27.0
30.0
32.1
30.2
28.7
28.1
29.7
28.1
29.0
27.3
29.4
27.1
30.9
29.4
31.4
29.8
31.2
29.4
32.0
29.4
30.8
29.6
31.2 .
29.4
r~3Q73
29.2
32.1
29.4 "
28.5
28,0
28.9
28.0
27.4
26.2
29.4
25.5
12
31.4
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TABLEJ7C.WK4
1 -11/11/98
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU-TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7C, POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Test
Date
Over-night
02/04-05/98
Over-night
02/04-05/98
Over-night
02/04-05/98
Over-night
02/04-05/98
Over-night
02/04-05/98
Run
No.
N3
N4
N5
N6
Hi
Traverse
Type
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
Port
A
B
C
D
A
B
c
D
A
B
C
D
A
B
C
D
A
B
C "
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
KD
Adjusted Avg, Velocity j Point Distance (in) from Wall
16 Pt. Traverse
19.5
19.2
19.3
20.0
19.4
18.9
19.4
19.4
15.9
16.5
16.1
16.5
15.9
16.2
16.1
16.5
12.4
13.9
13.4
12.9
12.1
13.8
13.5
12.7
12.4
14.1
13.7
13.1
12.2
13.8
13.6
12.9
12.3
14.1
13.5
13.3
12.4
14.0
13.6
12.6"
12 Pt. Traverse
1
i2.2
11,7
10.0
13.7
12.4
11.3
10.1
13.4
11.9
12.1
10.1
13.3
11.8
11.9
10.0
13.7
9.7
9.8
8.1
10.6
BIT
9.8
8.6
10.7
9.7
10.2
8.2
11.0
9.3
10.0
8.2
10.7
9.1
9.9
8.0
11.5
9.3
9.8
8.2
10.6
2
12.2
11.7
10.0
13.7
12.4
11.3
10.1
13.4
11.9
12.1
10.1
13.3
11.8
11.9
10,0
13.7
9.7
9.8
8.1
10.6
8.8
9.8
8.6
10.7
9.7
10.2
8.2
11.0
9.3
10.0
8.2
10.7
9.1
9.9
8.0
11.5
9,3
9.8
8,2
10.6
3
12.2
11.7
10.0
12.4
11.3
10.1
13.4
11.9
12.1
10.1
13.3
11.8
11.9
10.0
13.7
9.7
9.8
8.1
10.6
8.8
9.8
8.6
10.7
9.7
10.2
8.2
11.0
9.3
10.0
8.2
10.7
9.1 '
9.9
8.0
11.5
4
13.2
15.1
14.4
14.3
15,7
14.6
15.1
15.1
15.9
15.8
15.1
14.9
15.6
15.5
16.0
11.4
13.2
13.3
12.2
11.4
14.0
13.2
11.9
11.4
13.9
13.5
13.3
11.5
13.4
1371
13.4
11.8
14.0
13.3
13.4
9.3 | 1TI6
9.8
8.2
"ToTS""1
14.2
13.2
12.4
5
19.2
18.9
19.5
__w_^
18.9
19.1
19.8
19.0
16.6
17.8
17.7
17.6
16.7
17.0
17.5
17.2
13.0
15.0
14.4
13.5
12.3
15.1
15.0
13.0
12.6
14.6
14.9
13.0
12.3
15.7
15.5
13.0
13.0
15.6
15.4
14.5
13.0
15.3
14.9
13.3
6
23,9
24,9
25.4
24.3
24.1
24.3
24.3
17.6
18.6
18.6
17.8
"17.4
18.3
19.0
18,0
13.4
15.8
15.8
14.1
14.0
15.7
16.1
14.2
14.1
15.9
16.0
14.2
14.0
15.8
i6,o
13.6
14.2
16.6
16.4
13.6
f47i
16.3
15.9
jpr-^
13. D
7
25.8
24.9
26.3
25.5
~~24T5
24,4
25,9
25.5
17.7
19.7
19.6
18.6
19.1
18.9
19.8
18.6
14.4
17.0
17,0
15.3
14.6
16.6
16.7
13.9
14.9
17.0
17.1
15.0
14.3
16.2
17,5
14,5
14.3
18,9
16.8
14.5
14.5
16.5
17.8
8
26.2
25.9
26.8
LJ5.6
26.0
25.7
27.2
25.5
19.7
19.6
20.6
L20.4
19.6
19.8
20.7
19.7
15.2
17.7
17.3
15.0
14.8
17.0
17.3
15.5
15.2
17.4
18.0
16.2
14.6
16.9
17.1
16.4
15.1
17.1
17.3
15.1
15.3
17.3
18.3
9
27.1
26,0
27.4
26,1
26.6
25.8
27.8
25.3
20.7
21.3
21,6
20.2
2010 "'
20.6
21.4
20.1
16.0
18.5
17.9
16.5
15.5
17.2
18.1
15.5
15.9
18.4
18.9
l_14.7
15.6
17,8
18.3
15.4
15.7
18.3
18.2
16.1
16.0
17.6
17.9
16.1
10
29.1
27.9
28.8
27.8
28.5
26.7
29.2
26.7
21.4
21.6
22.8
20.5
21.0
21.5
22,7
21.2
16.1
18.0
18.5
16.1
16.4
17.8
18.2
16.5
15.8
18.9
19.2
17.0
16.0
18,1
19.0
16.0
16.3
18.4
19.2
15.9
16.0
18.2
18.4
16.1
11
29.5
28.5
29.8
28.6
29.2
27.8
30.3
27.0
22.4
22.3
22.7
22.4
22.5
22.4
23.4
21.3
17.0
18,5
19.0
15.7
16.4
18.5
18.5
15.7
18.2
19.2
19.3
17.1
16.4
18.2
19.6
16.0
16.6
19.0
18.6
17.3
16.9
19.1
19.1
15.7
12
30.7 -
29.8
&t$jf'
. 29.0 '
30.1^4,
'28.7^.
-31.2 '";
28.9 '
22,8 .
i 22',9" -
:. 24.3 .
"21.4": -'
P2Z3S
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17.0
18.5
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17.5 --
17.0',ป
18.8^
18.8 ;
19.3'*
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. 16,6'
48,5'
-19,4*.
17.1 -
17>4 " ,
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17,0
-'16..8
19.3
19.6
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13
29.2'
28.9;;-
29.631
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17.5
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-48.0--5
C'2<
Mv;
-------
WALL EFFECTS FIELD TEST SUMMARY
GPU - TITUS STATION
UNITED SCIENCES AUTOPROBE TEST, 2/4-5/98
TABLE J-7C. POINT VELOCITY (FPS) VALUES FOR WALL EFFECTS RUNS
Test
Date
Over-night
02/04-05/98
Over-night
02/04-05/98
Over-night
02/04-05/98
i
Run | Traverse
No. | Type
N8
N9
N10
straight-up
yaw-nulled
straight-up
yaw-nulled
straight-up
yaw-nulled
Port
A
B
C
D
A
B
C
D
A
B
D
A
B
C
D
A
B
C
D
A
B
C
D
Adjusted Avg, Velocity | Point Distance (in) from Wall
16 Pt. Traverse
12.4
14.1
13.6
12.8
12.1
14.0
13.5
12.9
22.2
22.6
91 Q
22.6
21.9
21.4
21.6
22.4
25,7
24.6
24.8
26.0 _j
12 Pt. Traverse
25.4 |
24.0
24.8
26.1
1 2
ง.3
10.1
8.0
10.6
9.1
10.2
8.0
10.9
18.5
17.5
1^ Q
19.6.
17.9
16.7
13.8
20.1
20.3
17.9
15.5
22.1
19.6
17.6
15.2
22.3
9.3
10.1
8.0
10.6
9.1
10.2
8.0
10.9
18.5
17.5
1** Q
19.6
17.9
16.7
13.8
20.1
20.3
17.9
15.5
22.1
19.6
17.6
15.2
22.3
3
9.3
10.1
8.0
10.6
9.1
10.2
8.0
10.9
18.5
17.5
1^ Q
19.6
17.9
18.7
13.8
20.1
20,3
17.9
15.5
22.1
19.6
17.6
15.2
22.3
4
12.0
14.4
13.8
12.8
11.3
14.0
13.5
12.9
22.2
22.6
90 Q
23.4
21.8
22.3
22.7
23.3
24.0
24.5
24.5
25.3 I
23.7
23.8
24.3
5
12.9
1413
15.0
13.6
12.3
15.2
14.8
13.2
24.7
25.3
95 A
25.7 J
6 7 | 8
T4.5
16.1
16.0
13.3
T315
15.6
16.2
13.8
27.7
27.6
70 1
28.1
25.0 j 27.6
24.5
25.8
25.2
26.3
26.3
27.0
27.4 |
26.3
25.8
27.2
25.4 | 27.2
26.8
29.3
28.3
28.6
28.0
29.1
28.7
28.3
27.9
29.4
28.3
14.9
16.7
17.1
14.6
14,7
16,5
16.5
14.3
26.0
26.8
57 Q
25.1
26.5
25.8
27.4
25.5
30.2
28.9
30.7
29.4
30.5
28.7
31.2
30.1
15.3
17.6
18.0
15.4
15.2
17.6
17.9
15.4
26.6
28.0
9R Q
26.0
26.6
25.9
27.8
25.1
31.6
30.9
32.4
30.7
31.3
29.7
31.7
30.6
9
16.1
18,4
18.4
15.7
15.8
17.8
18.2
14.9
25.4
26.4
Oft Q
26.0
25.9
25.6
26.0
24.6
32.4
31.6
33.0
31.9
32.1
30.0
33.4
31.8
10
15.6
18.2
18.4
15.7
15.7
18.2
19.1
15.6
25.5
26.2
9fi R
23.8
24.9
25.5
26.8
24.4
33.3
32.8
34.1
32.1
32.8
30.9
34.0
31.9
11
16.2
19.0
19.1
16.6
16.0
18.5
19.2
16.9
25.2
27.5
77 **
24.7
23.1
23.6
25.4
23.6
33.9
32.0
34.4
31.7
33.6
31.4
34.9
31.9
12
L 17.0 if
^ISJ'll
"'-19.2;-'*
f^f&S-f'
eJdS.Si^
'18.4 In
f&|&4' 'I
4 16.5 ''/
-22,9 i'-
""._..
22.2
';-23.8 "f
22,1
35,3
8 32,0
"35,1
3|ฃ_j
34/1,; ,
32.2
'343
%32.il 1?
13
16.9J4
aiiฅ.ฅfa
'19.7;,
it?,?}*'
;*ป16.65'-;
' 18,0, _
% 19,8||
;ifl7.Q <''
t22,6,.
p'O'I^
'22.2^
f 22.S ;
? 24,9 j>
'22.65'
^f-35.1
;?32.0 -f
34.9*
-JM.O"
'35,0 *-
32;3^,
34,8V-
I- งZA '
14
JLtJ.S.*
ปiMUM*
,'*;'I9.9 *
^17^4-
--17f3;4,
ซt8.7,, '.
4,1f9,li;<
J1S.&ป'
-.21JS>v
" 2Z*f
'20,1^
,20,8?"''
~2jyii"-
K*
, 1ป.9
SS-jZ-i.
334S '.
.-'35^'
3S.4&
35.2'-?";
32.2
Mo""
ij3',0f-
15
"%JM '*
Il9,7 ".'
^2%1 -;
MZtfo*
'ilf.l
j*rf]S>&,S ;
V2Ctt,
16,? '
rWA '-
|.|||*.,
s-Jป^
i-1S?-
^^ -
'fiKfoii
w&v
35,7-
-.33.5^
36.46
34.7
",35.2 "
33.2-;
, 35.0
?-33'.6 -
Note:
Data in these cells were required for calculations of adjusted average velocity values for the 12 pt. traverses, but not for the 16 pt. traverses.
TABLEJ7C.WK4
3-11/11/98
-------
Table J-8. Summary of Percent Decrease in Average Velocity Between Original and Wall
Effects-Adjusted Runs (day-time and over-night runs separated)
Site
Stack
Mat'l
Statistics
Manual Type S
Straight-
Up
Yaw-
Nulled
Baseline Autoprobes
Day-Time Steady Load
16 Point
Straight-
Up'
Yaw-
Nulled
12 Point
Straight-
Dp
Yaw-
Nulled
Over-Night
16 Point
Straight-
lip
Yaw-
Nulled
DAT
Prandtl
French
Aggregate Results
16 Point
12 Point
TU
DeCordova
Steel
No. Runs
Average
1.83%
-1.93%
-1.32%
-1.33%
-1.66%
-1.61%
-1.57%
-1.59%
-1.13%
-1.55%
Std. Dev.
0.06%
0.10%
0.70%
0.74%
0.25%
TU
Lake
Hubbard
Steel
No. Runs
Average
-1.82%
-1.37%
-1.23%
-1.51%
Std. Dev,
0.98%
1.02%
0.22%
AEP
Conesville
Unit 1/2
Brick
and
mortar
No. Runs
Average
-1.94%
-1.92%
-4.23%
-4.28%
-4.26%
Std. Dev.
0.24%
0.17%
0.12%
0.25
0.01%
0.04%
AEP
Picway
Brick
and
mortar
No. Runs
Average
-J.92%
-1,95%
-2.37%
-2.53%
-1.94%
-2.45%
Std. Dev.
0.18%
0.39%
0.40%
0.02%
0,11%
Allegheny
Mitchell
Brick
and
mortar
No. Runs
Average
-1.75%
-1.69%
-2.01%
-1.72%
Std. Dev.
1.83%
1.66%
0.04%
0.01%
Averages,
Based on
Equal
Weighting
of Each Site
Steel
No. Sites
Average
-1.83%
-1.93%
-1.57%
-1.46%
-1.52%
-1.43%
-1.57%
-1.59%
-1.13%
-1.53%
Std. Dev,
0.35%
0.18%
0.21%
0,26%
Brick
and
mortar
No. Sites
Average
-1.87%
-1.85%
-2.87%
-1.86%
-2.91%
Std. Dev.
0.10%
0.14%
1.19%
1.18%
0.12%
1.19%
-------
Table J-9. Comparison of Percent .Differences Between Original and Wall Effects-adjusted
Average Velocities, Using All Wall Effects Traverse Points and Using Only Two Wall
Effects Traverse Points per Port. Results for Tests Conducted at Sites with Steel Stacks
(16-point Method 1 Baseline Traverses).
Site
DeCordova
DeCordova
Lake Hubbard
DeCordova
DeCordova
Lake Hubbard
Lake Hubbard
Lake Hubbard
Lake Hubbard
Lake Hubbard
DeCordova
DeCordova
Lake Hubbard
DeCordova
Lake Hubbard
DeCordova
DeCordova
DeCordova
DeCordova
Lake Hubbard
Lake Hubbard
Lake Hubbard
Lake Hubbard
DeCordova
DeCordova
DeCordova
DeCordova
DeCordova
DeCordova
DeCordova
DeCordova
DeCordova
Lake Hubbard
DeCordova
Lake Hubbard
Lake Hubbard
Lake Hubbard
DeCordova
DeCordova
DeCordova
DeCordova
DeCordova
DeCordova
Lake Hubbard
Lake Hubbard
Lake Hubbard
DeCordova
DeCordova
Lake Hubbard
Lake Hubbard
Test No.
203
203
2(1,3)
201
201
3(nl)
2(nl)
2(n3)
2(nl)
3(nl)
13
13
21
202
5{nl)
205
202
25
18
21
21
I(n2)
3(n3)
205
23
18
206
18
23
30
207
13
I(n2)
25
5(nl)
I(n3)
3(n3)
13
36
207
36
30
206
4(nl)
I(n3)
4(nl)
204
204
l(nl)
Knl)
Day or Night
n
n
n
n
n
n
n
n
n
n
d
. d
d
n
n
n
n
d
d
d
d
n
n
n
.d
d
n
d
d
d
n
d
n
d
n
n
n
d
d
n
d
d
n
n
n
n
n
n
n
n
Type of Probe
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
1 6-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes straight-up
Type S yaw-nulled
Type S straight-up
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
Prandtl
DAT
16-point Autoprobes yaw-nulled
DAT
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
1 6-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
French
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
1 6-point Autoprobes straight-up
16-point Autoprobes straight-up
1 6-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
% Difference Using
All Data Points
-2.82%
-2.82%
-2.36%
-2.25%
-2.21%
-2.18%
-2.14%
-2.14%
. -2.04%
-1.99%
-1.93%
-1.83%
-1.82%
-1.76%
-1.70%
-1.61%
-1.59%
-1.59%
-1.57%
-1.57%
-1.56%
-1.50%
-1.49%
-1.45%
" - .43%
- .41%
- .41%
- .37%
- .36%
- .34%
- .33%
- .33%
-1.33%
-1.32%
-1.30%
-1.29%
-1.28%
-1.26%
-1.25%
-1.25%
-1.19%
-1.13%
-1.04%
-0.97%
-0.91%
-0.88%
-0.68%
-0.61%
0.96%
1.13%
% Difference Using
Two Data Points
-1.14%
-0.99%
-0.99%
-0.96%
-0.89%
-1.00%
-1.13%
-0.86%
-0.82%
-0.68%
-0.82%
-0.76%
-0,94%
0.20%
-0.90%
-1.03%
0.13%
-0.99%
-0.82%
-0.38%
-0.52%
-0.81%
-1.71%
-0.72%
-0.86%
-0.75%
-0.78%
-0.92%
-0.65%
. -0.75%
-0.75%
-0.67%
-0.62%
-1.09%
-0.19%
-1.03%
-1.60%
-0.55%
-0.50%
-0.68%
-0.49%
-0.57%
-0.43%
-0.21%
-0.85%
-0.08%
-0.74%
-0.47%
0.03%
0.20%
J-47
-------
Table J-10. Comparison of Percent Differences Between Original and Wall Effects-adjusted
Average Velocities, Using AH Wall Effects Traverse Points and Using Only Two Wall
Effects Traverse Points per Port. Results for Tests Conducted at Sites with Brick and
Mortar Stacks (16-point Method 1 Baseline Traverses),
Site
Mitchell
Mitchell
Picway
Conesville Unit 1/2
Conesville Unit 1/2
Picway
Picway
Picway
Conesville Unit 1/2
Conesville Unit 1/2
Conesville Unit 1/2
Mitchell
Picway
Conesville Unit 1/2
Picway
Mitchell
Mitchell
Mitchell
Mitchell
Mitchell
Test No.
3
3
5
3
3
8
5
8
8
8
5
1
11
5
11
4
4
1
2
2
Day or Night
d
d
d
d
d
d
d
d .
d
d
' d
d
d
d
d
d
d
d
d
d
Type of Probe
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
16-point Autoprobes yaw-nulled
1 6-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
1 6-point Autoprobes straight-up
16-point Autoprobes straight-up
16-point Autoprobes yaw-nulled
% Difference Using
All Data Points
-4.33%
-3.87%
-2.21%
-2.20%
-2.11%
-2.05%
-2.00%
-1.88%
-1.88%
-1,87%
-1.77%
-1.76%
-1.76%
-1.74%
-1.72%
-1.42%
-1.29%
-1.23%
0.00%
0.15%
% Difference Using
Two Data Points
-1.79%
-1.51%
-1.79%
-1.01%
-0.94%
-1.29%
-1.16%
-1.22%
-0.77%
-0.89%
-0.68%
-1.12%
-1.09%
-0.57%
-1.22%
-1.09%
-0.96%
-0.39%
2.08%
2.41%
J-48
-------
ATTACHMENT A.
Conesville Station Unit 1/2
Wall Effects Calculation Forms
J-49
-------
This Page Intentionally Left Blank
J-50
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
15.2
24.2
34.2
42.0
45.1
47.1
48.0
49.3
50.3
50.6
52.8
53.3
53.7
54.1
54.3
55.7
56.1
56.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.60
19.70
29.20
38.10
43.55
46.10
47.55
48.65
49.80
50.45
51.70
53.05
53.50
53.90
54.20
55.00
55.90
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01"
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
4912.74
12610.56
18508.33
23910.18
27056.77
28351.38
28944.36
29308.27
29688.16
29758.67
30171.16
30625.67
30549.31
30439.05
30267.92
30369.10
30514.82
line 3)
Total near-wall volumetric flow (total of column G)
415471.60
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
56.30
1057.20
59520.32
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
474991.923
42.44
R3U12P.WK4
10/27/98
J-51
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
38.5
41.7
44.5
46.7
48.2
49.8
51.1
51.9
52.5
53.1
53.5
54.8
54.3
55.4
55.6
56.2
56.8
57.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
19.25
40.10
43.10
45.60
47.45
49.00
50.45
51.50
52.20
52.80
53.30
54.15
54.55
54.85
55.50
55.90
56.50
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
nediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45'
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
12443.45
25669.21
27318.80
28616.90
29479.76
30134.87
30709.63
31025.19
31118.91
31144.85
31104.89
31260.70
31148.87
30975.54
30993.90
30866.05
30842.35
line 3)
Total near-wall volumetric flow (total of column G)
464011.54
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
57.20
1057.20
60471.80
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 524483.342
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 46.86
R3U12P.WK4
J-52
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORTC, USI 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
31.1
35.7
39.1
42.0
44.1
45.1
46.1
48.0
47.7
48.9
49.1
49.2
50.2
51.2
50.5
50.8
51.7
50.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.55
33.40
37.40
40.55
43.05
44.60
45.60
47.05
47.85
48.30
49.00
49.15
49.70
50.70
50.85
50.65
51.25
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
10051.73
21380.34
23705.87
25447.71
26746.13
27428.88
27757.36
28344.38
28525.67
28490.46
28595.49
28374.21
28379.45
28631.91
28397.12
27967.18
27976.47
line 3)
Total near-wall volumetric flow (total of column G)
418223.88
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
50.50
1057.20
S3388.56
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 471612.439
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.14
R3U12P.WK4
10/27/98
J-53
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wai! Effects Run 3
PORT D, USl 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
22.5
26.8
30.3
34.3
39.6
42.9
46.9
47.0
49.0
50.1
51.7
51.5
52.3
53.1
52.3
53.8
54.4
53.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.65
28.55
32.30
36.95
41.25
44.90
46.95
48.00
49.55
50.90
51.60
51.90
52.70
52.70
53.05
54.10
Intern
calcu
pi(r-d-H)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.46
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564,73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
7272.15
15779.21
18096.33
20270.31
22956.31
25368.64
27331.26
28284.13
28615.09
29227.79
29704.29
29788.59
29635.68
29761.37
29430.25
29292.38
29532.23
line 3)
Total near-wall volumetric flow (total of column G)
400813.78
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
53.70
1057.20
56771.60
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 457585.384
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 40.89
R3U12P.WK4
J-54
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 1/2
Wall Effects Run 3
PORT A, USI 12pt AUTOPROBE, yaw-nulled
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel,
V-d
ft/sec
16.5
24.1
34.1
41.8
44.7
46.6
47.7
49.2
50.8
51.2
52.3
52.4
53.7
54.2
55.3 .
56.1
55.8
55.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.25
20.30
29.10
37.95
43.25
45.65
47.15
48.45
50.00
51.00
51.75
52.35
53.05
53.95
54.75
55.70
55.95
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01"
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
5332.91
12994.64
18444.94
23816.04
26870.38
28074.63
28700.87
29187.78
29807.39
30083.09
30200.34
30221.56
30292.35
30467.28
30575.07
30755.62
30542.12
line 3)
Total near-wall volumetric flow (total of column G)
415824.90
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
55.60
1057.20
58780.28
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 474605.174
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.41
R3Y12P.WK4
J-55
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 1/2
Wall Effects Run 3
PORT B, USI 12pt AUTOPROBE, yaw-nulled
Stack Area: 33,575,5 sq. in.
line 1) radius; 103.38 in
pi =
3.14159
line 2}
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
37.2
42.3
44.6
47.0
48.7
49.5
51.4
51.7
52.9
53.0
54.3
55.0
54.9
55.8
56.6
56.8
56.8
57.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.60
39.75
43.45
45.80
47.85
49.10
50.45
51.55
52.30
52.95
53.65
54.65
54.95
55.35
56.20
56.70
56.80
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45"
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
12023.29
25445.17
27540.65
28742.42
29728.27
30196.37
30709.63
31055.32
31178.53
31233.33
31309.14
31549.35
31377.28
31257.91
31384.82
31307.78
31006.12
line 3)
Total near-wall volumetric flow (total of column G)
466039.24
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
57.70
1057.20
61000,40
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 527039.635
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 47.09
R3Y12P.WK4
J-56
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 1/2
Wall Effects Run 3
PORT C, USI 12pt AUTOPROBE, yaw-nulled
line 1)
line 2)
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
31.3
35.4
39.9
42.1
44.0
45.6
46.0
47.1
47.9
49.5
50.2
50.7
50.4
50.5
51.7
52.1
51.0
51.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.65
33.35
37.65
41.00
43.05
44.80
45.80
46.55
47.50
48.70
49.85
50.45
50.55
50.45
51.10
51.90
51.55
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45"
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
10116.37
21348.34
23864.33
25730.11
26746.13
27551.88
27879.11
28043.16
28317.02
28726.41
29091.53
29124.70
28864.81
28490.72
28536.73
28657.39
28140.23
line 3)
Total near-wall volumetric flow (total of column G)
421088.73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
51.50
1057.20
54445.76
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 475534.49
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.49
R3Y12P.WK4
J-57
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 1/2
Wall Effects Run 3
PORT D, USI 12pt AUTOPROBE, yaw-nulled
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d_ ^
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
23.1
25.9
28.8
34.9
39.9
43.3
46.9
48.0
47.7
49.4
50.7
50.3
52.0
52.2
53.1
53.9
53.8
54.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.55
24.50
27.35
31.85
37.40
41.60
45.10
47.45
47.85
48.55
50.05
50.50
51.15
52.10
52.65
53.50
53.85
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
7466.07
15683.19
17335.71
19987.90
23235.89
25583.89
27453.01
28585.35
28525.67
28637.93
29208.25
29153.56
29207.42
29422.53
29402.32
29540.85
29395.76
|
line 3)
Total near-wall volumetric flow (total of column G)
398429.54
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
54.40
1057.20
57511.64
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 455941.185
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 40.74
R3Y12P.WK4
J-58
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Run 5
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d_ f*
O
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18,0
(B)
Axial vel.
V-d
ft/sec
15.3
24.3
34.7
42,0
44.7
46.4
48.7
49.0
50.3
50.7
52.2
52.6
53.5
54.3
54.6
54.5
55.6
55.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.65
19.80
29.50
38.35
43.35
45.55
47.55
48.85
49.65
50.50
51.45
52.40
53.05
53.90
54.45
54.55
55.05
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01*
23986.84
23440,96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
4945.06
12674.57
18698.48
24067.07
26932.51
28013.13
28944.36
29428.75
29598.74
29788.16
30025.26
30250.43
30292.35
30439.05
30407.53
30120.63
30050.82
line 3)
Total near-wall volumetric flow (total of column G)
414626.08
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
55.70
1057.20
58886.00
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 473512.077
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.31
R5U12P.WK4
10/27/98
J-59
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
line 1) radius: 103.38 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
. ft/sec
37.0
41.5
44.8
46.5
48.6
49.4
51.9
52.5
53.0
53.8
54.1
54.3
54.3
56.3
55.6
55.4
56.5
56.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.50
39.25
43.15
45.65
47.55
49.00
50.65
52.20
52.75
53.40
53.95
54.20
54.30
55.30
55.95
55.50
55.95
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
11958.64
25125.10
27350.49
28648.28
29541.89
30134.87
30831 .37
31446.90
31446.80
31498.77
31484.22
31289.56
31006.12
31229.67
31245.20
30645.19
30542.12
line 3)
Total near-wall volumetric flow (total of column G)
464883.07
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
56.70
1057.20
59943,20
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 524826.269
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 46.89
R5U12P.WK4
J-60
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORTC, USI 12ptAUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
30.9
36.2
39.5
42.4
43.5
44.7
45.6
47.2
48.0
48.5
49.2
49.6
49.9
50.4
50.2
50.1
50.3
51.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.45
33.55
37.85
40.95
42.95
44.10
45.15
46.40
47.60
48.25
48.85
49.40
49.75
50.15
50.30
50.15
50.20
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
9987.08
21476.36
23991.10
25698.73
26684.00
27121.38
27483.44
27952.80
28376.63
28460.97
28507.95
28518.53
28408.00
28321.30
28089.97
27691.10
27403.29
line 3)
Total near-wall volumetric flow (total of column G)
416769.36
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
51.20
1057.20
54128.60
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 470897.961
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.08
R5U12P.WK4
J-61
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT D, USI 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
line 1) radius: 103,38 in
pi
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18,0
(B)
Axial vel.
V-d
ft/sec
23.5
25.6
30.5
35.1
40.1
42.9
45.7
47.3
48.5
50.5
51.1
51.5
52.4
52.4
51.7
52.5
53.3
54.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.75
24,55
28.05
32.80
37.60
41.50
44.30
46.50
47.90
49.50
50.80
51.30
51.95
52.40
52.05
52.10
52.90
Intern
calcu
p!(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
7595.36
15715.19
17779.40
20584.09
23360.15
25522.39
26966.04
28013,04
28555.48
29198.30
29645.94
29615.40
29664.23
29591.95
29067,25
28767.82
28877.18
i
line 3)
Total near-wall volumetric flow (total of column G)
399642.02
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
54.20
1057.20
57300.20
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
456942.222
40.83
I
R5U12P.WK4
J-62
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT A, USI 12pt AUTOPROBE, yaw-nulled
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
17.0
23.9
34.0
42.0
45.2
47.3
47.5
48.9
50.8
51.9
52.0
52.9
53.3
53.8
53.9
54.6
54.9
55.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.50
20.45
28.95
38.00
43.60
46.25
47.40
48.20
49.85
51.35
51.95
52.45
53.10
53.55
53.85
54.25
54.75
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.0f
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
5494.51
13090.66
18349.87
23847.42
27087.83
28443.63
28853.05
29037.17
29717.97
30289.55
30317.05
30279.29
30320.90
30241.39
30072.46
29954.98
29887.06
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
415397,73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
55.70
1057.20
58886.00
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 474283.726
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.38
R5Y12P.WK4
10/27/98
J-63
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT B, USI 12pt AUTOPROBE, yaw-nulled
Stack Area: 33,575.5 sq. in.
linel) radius: 103.38 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
37.1
42.3
44.7
46.0
48.7
49.9
51.3
52.4
52.3
53.1
54.5
55.4
55.3
55.4
56.5
56.1
56.5
57.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.55
39.70
43.50
45.35
47.35
49.30
50.60
51.85
52.35
52.70
53.80
54.95
55.35
55.35
55.95
56.30
56.30
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
11990.97
25413.16
27572.34
28460.01
29417.63
30319.37
30800.94
31236.04
31208.34
31085.86
31396.68
31722.54
31605.68
31257.91
31245.20
31086.92
30733.18
line 3)
Total near-wall volumetric flow (total of column G)
465819.59
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
57.40
1057.20
60683.24
Wail-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 526502.828
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 47.04
R5Y12P.WK4
J-64
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT C, USI 12pt AUTOPROBE, yaw-nulled
Stack Area; 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= ^
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
31.3
36.1
40.0
41.9
43.1
44.3
46.1
46.6
48.1
48.5
50.0
50.0
50.8
51.4
50.5
50.3
51.5
51.6
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
15.65
33.70
38.05
40.95
42.50
43.70
45.20
46.35
47.35
48.30
49.25
50.00
50.40
51.10
50.95
50.40
50.90
Intern
calcu
.pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
I
Vol. flow
in segment
(col C X F)
10116.37
21572.38
24117.87
25698.73
26404.42
26875.38
27513.88
27922.67
28227.60
28490.46
28741.38
28864.91
28779.16
28857.80
28452.96
27829.14
27785.41
line 3)
Total near-wall volumetric flow (total of column G)
418465.12
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
51.60
1057.20
54551.48
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
473016.607
42.26
j
R5Y12P.WK4
J-65
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT D, USI 12pt AUTOPROBE, yaw-nulled
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
23.8
25.4
28.8
34.3
40.1
42.7
46.4
47.0
48.0
50.3
50.7
51.7
51.8
52.8
52.8
52.8
54.0
54.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11,90
24.60
27.10
31.55
37.20
41.40
44.55
46.70
47.50
49.15
50.50
51.20
51.75
52.30
52.80
52.80
53.40
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
7692.32
15747.20
17177.25
19799.63
23111.63
25460.89
27118.21
28133.53
28317.02
28991.84
29470.86
29557.67
29550.03
29535.48
29486.09
29154.34
29150.12
line 3) |Total near-wall volumetric flow (total of column G)
398303.99
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
54.20
1057.20
57300.20
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 455604.194
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 40.71
R5Y12P.WK4
J-66
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wai! Effects Run 8
PORT A, USI 12ptAUTOPROBE, STANDARD
Stack Area; 33,575,5 sq, in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
12.6
22.8
34.6
42.0
44,8
46.1
48.2
48.9
50.4
51.0
51.9
52.7
54.3
54.6
54.5
55.2
55.7
56.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.30
17.70
28,70
38.30
43.40
45.45
47.15
48.55 .
49.65
50.70
51.45
52.30
53.50
54.45
54.55
54.85
55.45
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394,08
26810,50
26233.20
25662.19
25097,45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(coi C X F)
4072.40
11330.30
18191.40
24035.69
26963.57
27951.63
28700.87
29248.02
29598.74
29906.13
30025.26
30192.70
30549.31
30749.65
30463.38
30286.28
30269.18
line 3)
Total near-wall volumetric flow (total of column G)
412265.34
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
56.30
1057.20
59520.32
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 471785.656
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.15
R8U12P.WK4
J-67
10/27/98
-------
line t)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wai! Effects Run 8
PORT B, US! 12pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
P' =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
37.8
42.3
44.9
47.1
48.7
50.2
51.1
52.6
53.2
54.1
54.5
54.9
55.0
56.9
56.5
56.1
57.1
57.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.90
40.05
43.60
46.00
47.90
49.45
50.65
51.85
52.90
53.65
54.30
54.70
54.95
55.95
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
56.70 25097.45
56.30
56.60
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45 '
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
12217.21
25637.21
27635.72
28867.93
29759.34
3041 1 .62
30831.37
31236.04
31536.22
31646.24
31688.47
31578.21
31377.28
31596.75
31664.04
31086.92
30896.94
line 3)
Total near-wall volumetric flow (total of column G)
468770.56
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
57.20
1057.20
60471.80
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 529242.358
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 47.29
R8U12P.WK4
J-68
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORTC, USI 12ptAUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
30.7
36.2
39.9
43.0
43.6
45.2
46.6
47.6
48.3
49.4
49.8
50.2
50.3
50.9
50.4
51.4
51.6
51.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.35
33.45
38.05
41.45
43.30
44.40
45.90
47.10
47.95
48.85
49.60
50.00
50.25
50.60
50.65
50.90
51.50
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
Area of
segment
(col D - E)
32929.06 646.41
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097,45"
24539.01
23986.84
23440.96
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F) .
9922.44
21412.35
24117.87
26012.51
26901.45
27305.88
27939.98
28374.50
28585.29
28814.89
28945.64
28864.91
28693.51
28575.43
28285.43
28105.22
28112.94
line 3)
Total near-wall volumetric flow (total of column G)
420857.29
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
51.10
1057.20
54022.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 474880.176
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.43
R8U12P.WK4
J-69
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT D, US! 12pt AUTOPROBE, STANDARD
line 1)
line 2)
Stack Area:
radius:
33,575.5 sq. in.
103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
22.3
24.9
30.5
36.2
39.7
44,0
46.4
46.9
49.4
50.0
50.8
52.2
52.5
52.7
52.7
54.1
53.5
54.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.15
23.60
27.70
33.35
37.95
41.85
45.20
46.65
48.15
49.70
50.40
51.50
52.35
52.60
52.70
53.40
53.80
Intern
calcu
JPt^ll)*!
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45'
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
7207.51
15107.07
17557.56
20929.25
23577.59
25737.64
27513.88
28103.40
28704.52
29316.27
29412.50
29730.86
29892.64
29704.90
29430.25
29485.64
29368.47
line 3)
Total near-wall volumetric flow (total of column G)
401411.46
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
54.00
1057.20
57088.76
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
458500.225
40.97
L_
R8U12P.WK4
10/27/98
J-70 .
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT A, US112pt AUTOPROBE, yaw-nulled
Stack Area: 33,575,5 sq. in,
radius: 103.38 in
pi =
3.14159
_____ _
l/\ 1
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
15.0
24.0
34.9
42.8
45.5
46.6
47.6
48.8
50.5
51.9
52.6
53.8
54.0
54.3
56.1
55.8
56.4
55.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.50
19.50
29.45
38.85
44.15
46.05
47.10
48.20
49.65
51.20
52.25
53.20
53.90
54.15
55.20
55.95
56.10
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
4848.10
12482.54
18666.79
24380.85
27429.53
28320.63
28670.44
29037.17
29598.74
30201.07
30492.13
30712.27
30777.71
30580.23
30826.37
30893.66
30624.00
line 3)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
417918.21
segment
55.90
1057.20
59097.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area seqment
line 4)
line 5a)
line 5b)
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
477015.65
42.62
R8Y12P.WK4
10/27/98
J-7I
-------
linel)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT B, USl 12pt AUTOPROBE, yaw-nulled
Stack Area:
radius:
33,575.5 sq. in.
103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
37.7
42.1
44.8
47.4
48.7
50.7
51.2
51.4
53.2
54.3
53.9
54.8
55.9
56.7
57.4
56.8
57.0
57.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.85
39.90
43.45
46.10
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
48.05 31027.52
49.70
50.95
51.30
52.30
53.75
54.10
54.35
55.35
56.30
57.05
57.10
56.90
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791 .24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
26233.20 25662.19
25662.19
25097.45
24539.01
23986.84
25097.45*
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
12184.89
25541.19
27540.65
28930.69
29852.53
30565.37
31013.99
30904.71
31178.53
31705.22
31571.75
31376.16
31605.68
31794.40
31859.50
31528.65
31060.70
line 3)
Total near-wall volumetric flow (total of column G)
469153.90
line 4)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
57.60
1057.20
60894,68
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 5a) a) Add the values on lines 3 and 4. 530048.574
line 5b) b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 47.36
R8Y12P.WK4
10/27/98
J-72
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORTC, USI 12ptAUTOPROBE, yaw-nulled
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d_mll A
- O
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
31.5
34.3
39.7
41.7
44.3
46.2
46.6
47.3
48.6
49.0
50.3
50.2
50.8
51.0
50.4
51.3
51.3
51.4
(C) (D) (E) (F) (G)
Decay vel.
avg old, d-1
15.75
32.90
37.00
40.70
43.00
45.25
46.40
46.95
47.95
48.80
49.65
50.25
50.50
50.90
50.70
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
50.85 24539.01
51.30
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45"
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
646.41 10181.01
640.13 21060.28
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
23452.33
2554184
26715.06
27828.63
28244.34
28284.13
28585.29
28785.39
28974.82
29009.24
28836.26
28744.85
28313.35
28077.62
28003.76
line 3)
Total near-wall volumetric flow (total of column G)
420634.43
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
51.40
1057.20
Multiply a) by b)
54340.04
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 474974.471
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 42.44
R8Y12P.WK4
10/27/98
J-73
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT D, USI 12pt AUTOPROBE, yaw-nulled
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 18.0
(B)
Axial vel.
V-d
ft/sec
22.6
26.7
28.6
34.3
38.9
43.6
45.9
47.5
48.9
50.6
50.2
52.7
53.1
53.1
52.9
53.9
54.8
54.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.30
24.65
27.65
31.45
36.60
41.25
44.75
46.70
48.20
49.75
50.40
51.45
52.90
53.10
53.00
53.40
54.35
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
25097.45
24539.01
23986.84
23440.96
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
564.73
558.45
552.17
545.88
Vol. flow
in segment
(col C X F)
7304.47
15779.21
17525.87
19736.88
22738.87
25368.64
27239.96
28133.53
28734.32
29345.76
29412.50
29701.99
30206.70
29987.26
29597.78
29485.64
29668.70
line 3)
Total near-wall volumetric flow (total of column G)
400299.37
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
54.30
1057.20
57405.92
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 457705.288
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 40.90
R8Y12P.WK4
J-74
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575,5 sq, in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
15.2
24.2
34.2
42.0
45.1
47.1
48.0
49.3
50.3
50.6
52.8
ง3.3
53.7
54.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.60
19.70
29.20
38.10
43.55
46.10
47.55
48.65
49.80
50.45
51.70
53.05
53.50
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406,24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
Vol. flow
in segment
(col C X F)
49 12.. 74
12610.56
18508.33
23910.18
27056.77
615.00 28351.38
608.71
602.43
596.15
589.86
583.58
577.30
571.02
I
28944.36
29308.27
29688.16
29758.67
30171.16
30625.67
30549.31
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
324395.53
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
54.10
480.58
25999.58
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 350395.116
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 41.74
R3U16P.WK4
10/27/98
J-75
-------
line 1}
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
df\
ฃ.
d= 3
d= 4
d= 5
d= 6
-J__ "7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
38.5
41.7
44.5
46.7
48,2
49.8
51.1
51.9
52.5
53.1
53.5
54.8
54.3
55.4
(C) (D) (E) (F) (G)
Decay vel,
avg of d, d-1
19.25
40.10
43.10
45.60
47.45
49.00
50.45
51.50
52.20
52.80
53.30
54.15
54.55
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
LJcol D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
12443.45
25669.21
27318.80
28616.90
29479.76
30134.87
30709.63
31025.19
31118.91
31144.85
31104.89
31260.70
31148.87
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
371176.05
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
55.40
480.58
26624.34
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 397800.386
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 47.39
R3U16P.WK4
10/27/98
J-76
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORTC, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
P"
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
31.1
35.7
39.1
42.0
44.1
45.1
46.1
48.0
47.7
48.9
49.1
49.2
50.2
51.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.55
33.40
37.40
40.55
43.05
44.60
45,60
47.05
47.85
48.30
49.00
49,15
49.70
Intern
calcu
pi(r-d+1)^2_
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640,13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
10051.73
21380.34
23705.87
25447.71
26746.13
27428.88
27757.36
28344.38
28525.67
28490.46
28595.49
28374.21
28379.45
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
333227.67
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
51.20
480.58
24605.89
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 357833.559
b) Divide fine a) by 1/4*pi*rA2
This is the substitute velocity value, V. 42.63
R3U16P.WK4
J-77
10/27/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORTD, USI 16ptAUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
line 1) radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel,
V-d
ft/sec
22.5
26.8
30.3
34.3
39.6
42.9
46.9
47.0
49.0
50.1
51.7
51.5
52.3
53.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.65
28.55
32.30
36.95
41.25
44.90
46.95
48.00
49.55
50.90
51.60
51.90
intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791 .24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
L liMI*2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
25662.19 571.02
I
Vol. flow
in segment
(col C X F)
7272.15
15779.21
18096.33
20270.31
22956.31
25368.64
27331.26
28284.13
28615.09
29227.79
29704.29
29788.59
29635.68
line 3)
line 4)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
312329.79
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
53.10
480.58
25519.00
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 5a) a) Add the values on lines 3 and 4.
line 5b)
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
337848.78S
40.25
_J
R3U16P.WK4
J-78
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
16.5
24.1
34.1
41.8
44.7
46.6
47.7
49.2
50.8
51.2
52.3
52.4
53.7
54.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.25
20.30
29.10
37.95
43.25
45.65
47.15
48.45
50.00
51.00
51.75
52.35
53.05
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col CXF)
5332.91
12994.64
18444.94
23816.04
26870.38
28074.63
28700.87
29187.78
29807.39
30083.09
30200.34
30221.56
30292.35
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
324026.93
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
54.20
480.58
26047.64
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 350074.566
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 41.71
R3Y16P.WK4
J-79
10/27/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
line 4)
line 5a)
line 5b)
JAL (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
Axial vel.
V-d
ft/sec
37.2
42.3
44.6
47.0
48.7
49.5
51.4
51.7
52.9
53.0
54.3
55.0
54.9
55.8
(C) (D) (E) (F) (G)
Decay vel.
avg_of d, d-1
18.60
39.75
43.45
45.80
47.85
49.10
50.45
51.55
52.30
52.95
53.65
54.65
54.95
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
'*
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
12023.29
25445.17
27540.65
28742.42
29728.27
30196.37
30709.63
31055.32
31178.53
31233.33
31309.14
31549.35
31377.28
(use d=14 for drem)
Total near-wall volumetric flow (total of column G) 372088.73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 55.80
b) Total area in remainder segment 480.58
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 26816.57
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 398905.301
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 47.52
R3Y16P.WK4
J-80
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 3
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
31.3
35.4
39.9
42.1
44.0
45.6
46.0
47.1
47.9
49.5
50.2
50.7
50.4
50.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.65
33.35
37.65
41.00
43.05
44.80
45.80
46.55
47.50
48.70
49.85
50.45
50.55
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
10116.37
21348.34
23864.33
25730.11
26746.13
27551.88
27879.11
28043.16
28317.02
28726.41
29091.53
29124.70
28864.81
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
335403.89
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
50.50
480.58
24269.48
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 359673.366
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 42.85
R3Y16P.WK4
10/27/98
J-81
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Run 3
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
yJ_ *"l
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
23.1
25.9
28.8
34.9
39.9
43.3
46.9
48.0
47.7
49.4
50.7
50.3
52.0
52.2
(C) (D) (E) (F) (G) I
Decay vel.
avg of d, d-1
11.55
24.50
27.35
31.85
37.40
41.60
45.10
47.45
47.85
48.55
50.05
50.50
51.15
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
7466.07
15683.19
17335.71
19987.90
23235.89
25583.89
27453.01
28585.35
28525.67
28637.93
29208.25
29153.56
29207.42
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
310063.84
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
52.20
480.58
25086.47
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 335150.308
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 39.93
R3Y16P.WK4
J-82
10/27/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
^JB)
Axial vel.
V-d
ft/sec
15.3
24.3
34.7
42.0
44.7
46.4
48.7
49.0
50.3
50.7
52.2
52.6
53.5
54.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.65
19.80
29.50
38.35
43.35
45.55
47.55
48.85
49.65
50.50
51.45
52.40
53.05
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233,20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
4945.06
12674.57
18698.48
24067.07
26932.51
28013.13
28944.36
29428.75
29598.74
29788.16
30025.26
30250.43
30292.35
I
(use d=14 for drem)
Total near-wall volumetric flow (total of column G) 323658.87
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 54.30
b) Total area in remainder segment 480.58
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 26095.70
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 349754.568
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 41 .67
R5U16P.WK4
J-83
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wai! Run 5
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
line 1) radius: 103.38 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
37.0
41.5
44.8
46.5
48.6
49.4
51.9
52.5
53.0
53.8
54.1
54.3
54.3
56.3
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
18.50
39.25
43.15
45.65
47.55
49.00
50.65
52.20
52.75
53.40
53.95
54.20
54.30
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
11958.64
25125.10
27350.49
28648.28
29541.89
30134.87
30831.37
31446.90
31446.80
31498.77
31484.22
31289.56
31006.12
(use d=14 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
371763.01
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
56.30
480.58
27056.87
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 398819.873
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 47.51
R5U16P.WK4
J-84
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORTC, USI 16ptAUTOPROBE, STANDARD
Stack Area:
radius;
33,575.5 sq. in.
103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
30.9
36.2
39.5
42.4
43.5
44.7
45.6
47.2
48.0
48.5
49.2
49.6
49.9
50.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.45
33.55
37.85
40.95
42.95
44.10
45.15
46.40
47.60
48.25
48.85
49.40
49.75
Intern
calcu
pi(r-d-H)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
2979124
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
9987.08
21476.36
23991.10
25698.73
26684.00
27121.38
27483.44
27952.80
28376.63
28460.97
28507.95
28518.53
28408.00
(use d=14 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
332666.99
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
50.40
480.58
24221.42
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 356888.407
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 42,52
R5U16P.WK4
J-85
10/27/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT D, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
line 1) radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
23.5
25.6
30.5
35.1
40.1
42.9
45.7
47.3
48.5
50.5
51.1
51.5
52.4
52.4
(C) (D) (E) (F) (G) ^
Decay vel.
avg ofd, d-1
11.75
24.55
28.05
32.80
37.60
41.50
44.30
46.50
47.90
49.50
50.80
51.30
51.95
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791 .24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
7595.36
15715.19
17779.40
20584.09
23360.15
25522.39
26966.04
28013.04
28555.48
29198.30
29645.94
29615.40
29664.23
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
312214.99
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
52.40
480.58
25182.59
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
337397.583
40.20
I
R5U16P.WK4
J-86
10/27/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
33,575,5 sq. in.
103.38 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
17.0
23.9
34.0
42.0
45.2
47.3
47.5
48.9
50.8
51.9
52.0
52.9
53.3
53.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.50
20.45
28.95
38.00
43.60
46.25
47.40
48.20
49.85
51.35
51.95
52.45
53.10
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
5494.51
13090.66
18349.87
23847.42
27087.83
28443.63
28853.05
29037.17
29717.97
30289.55
30317.05
30279.29
30320.90
(used=14fordrem)
Total near-wall volumetric flow (total of column G) 325128.89
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 53.80
b) Total area in remainder segment 480.58
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 25855.41
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 350984.301
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 41.81
R5Y16P.WK4
J-87
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
_JB)
Axial vel.
V-d
ft/sec
37.1
42.3
44.7
46.0
48.7
49.9
51.3
52.4
52.3
53.1
54.5
55.4
55.3
55.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.55
39.70
43.50
45.35
47.35
49.30
50.60
51.85
52.35
52.70
53.80
54.95
55.35
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
30406.24 621.28
29791.24 I 615.00
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
11990.97
25413.16
27572.34
28460.01
29417.63
30319.37
30800.94
31236.04
31208.34
31085.86
31396.68
31722.54
31605.68
line 3)
(use d=14 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
372229.56
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
55.40
480.58
26624.34
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 398853.899
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 47.52
R5Y16P.WK4
10/27/98
J-88
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
31.3
36.1
40.0
41.9
43.1
44.3
46.1
46.6
48.1
48.5
50.0
50.0
50.8
51.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.65
33.70
38.05
40.95
42.50
43.70
45.20
46.35
47.35
48.30
49.25
50.00
50.40
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
V
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
10116.37
21572.38
24117.87
25698.73
26404.42
26875.38
27513.88
27922.67
28227.60
28490.46
28741.38
28864.91
28779.16
(use d=14 for drem)
Total near-wall volumetric flow (total of column G) 333325.22
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 51 .40
b) Total area in remainder segment 480.58
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 24702.01
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 358027.229
-b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 42.65
!
R5Y16P.WK4
J-89
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 5
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
23.8
25.4
28.8
34.3
40.1
42.7
46.4
47.0
48.0
50.3
50.7
51.7
51.8
52.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.90
24.60
27.10
31.55
37.20
41.40
44.55
46.70
47.50
49.15
50.50
51.20
51.75
Intern
calcu
pi(r-d+1)A2
33575,47
32929.06
32288.93
31655.08
31027,52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983,95
27394.08
26810.50
26233.20
25662.19
-"
Area of
segment
(col D - E)
646.41
Vol. flow
in segment
(col C X F)
7692.32
640.13 15747.20
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
17177.25
19799.63
23111.63
25460.89
27118.21
28133.53
28317.02
28991.84
29470.86
29557.67
29550.03
line 3)
(use d=14 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
310128.09
Volumetric flow in remainder of the Method 1 near-wail equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
52.80
480.58
25374.82
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 335502.91
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 39.97
R5Y16P.WK4
10/27/98
J-90
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT A, USI 16ptAUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
p,=
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
12.6
22.8
34.6
42.0
44.8
46.1
48.2
48.9
50.4
51.0
51.9
52.7
54.3
54.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.30
17.70
28.70
38.30
43.40
45.45
47.15
48.55
49.65
50.70
51.45
52.30
53.50
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
Area of
segment
(col D - E)
646.41
32288.93 640.13
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810,50
26233.20
25662.19
633.85
627.56
621.28
615.00
608.71
. 602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
4072.40
11330.30
18191.40
24035.69
26963.57
27951.63
28700.87
29248.02
29598.74
29906.13
30025.26
30192.70
30549.31
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
line 4) i Multiply a) by b)
54.60
480.58
26239.87
line 5a)
line 5b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 347005.906
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 41.34
R8U16P.WK4
J-91
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT B, USl 16pt AUTOPROBE, STANDARD
line 1)
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
line 2)
line 3}
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
37.8
42.3
44.9
47.1
48.7
50.2
51.1
52.6
53.2
54.1
54.5
54.9
55.0
56.9
(use d=14 for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.90
40.05
43.60
46.00
47.90
49.45
50.65
51.85
52.90
53.65
54.30
54.70
54.95
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
.-
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
12217.21
25637.21
27635.72
28867.93
29759.34
30411.62
30831.37
31236.04
31536.22
31646.24
31688.47
31578.21
31377.28
Total near-wall volumetric flow (total of column G) 374422.85
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 56.90
b) Total area in remainder segment 480.58
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 27345.22
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 401768.068
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 47.86
R8U16P.WK4
10/27/98
J-92
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT C, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103,38 in
pi =
3.14159
(A) (B)
Distance Axial vel.
from wall V-d
(inches) ft/sec
d= 1 30.7
d= 2 36.2
d= 3 39.9
d= 4 43.0
d= 5 43.6
d= 6 45.2
d= 7 46.6
d= 8 47.6
d= 9 48.3
d= 10 49.4
d= 11 49.8
d= 12 50.2
d= 13 50.3
drem 13.4 50.9
(use d=14 for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
15.35
33.45
38.05
41.45
43.30
44.40
45.90
47.10
47.95
48.85
49.60
50.00
50.25
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
-
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
9922.44
21412.35
24117.87
26012.51
26901.45
27305.88
27939.98
28374.50
28585.29
28814.89
28945.64
28864.91
28693.51
Total near-wall volumetric flow (total of column G) 335891.21
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 50.90
b) Total area in remainder segment 480.58
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 24461.71
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 360352.923
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. . 42.93
line 3)
line 4)
line 5a)
line 5b)
R8U16P.WK4
10/27/98
J-93
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesvilie, Units 1 and 2
Wall Effects Run 8
PORT D, USI 16pt AUTOPROBE, STANDARD
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
_JB)
Axial vel.
V-d
ft/sec
22.3
24.9
30.5
36.2
39.7
44.0
46.4
46.9
49.4
50.0
50.8
52.2
52.5
52.7
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
11.15
23.60
27.70
33.35
37.95
41.85
45.20
46.65
48.15
49.70
50.40
51.50
52.35
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
-
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571 .02
Vol. flow
in segment
(coi C X F)
7207.51
15107.07
17557.56
20929.25
23577.59
25737.64
27513.88
28103.40
28704.52
29316.27
29412.50
29730.86
29892.64 j
(use d=14 for drem)
Total near-wall volumetric flow (total of column G) 312790.68
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 52.70
b) Total area in remainder segment 480.58
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 25326.76
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 3381 1 7.448
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 40.28
R8U16P.WK4
J-94
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
15.0
24.0
34.9
42.8
45.5
46.6
47.6
48.8
50.5
51.9
52.6
53.8
54.0
54.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.50
19.50
29.45
38.85
44.15
46.05
47.10
48.20
49.65
51.20
52.25
53.20
53.90
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
4848.10
12482.54
18666.79
24380.85
27429.53
28320.63
28670.44
29037.17
29598.74
30201.07
30492.13
30712.27
30777.71
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
325617.95
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col
Multiply a) by b)
54.30
480.58
26095.70
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 351713.65
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 41.90
R8Y16P.WK4
J-95
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
37.7
42.1
44.8
47.4
48.7
50.7
51.2
51.4
53.2
54.3
53.9
54.8
55.9
56.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
18.85
39.90
43.45
46.10
48.05
49.70
50.95
51.30
52.30
53.75
54.10
54.35
55.35
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
l
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646,41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
Vol. flow
in segment
(col C X F)
12184.89
25541.19
27540.65
28930.69
29852.53
30565.37
31013.99
30904.71
31178.53
589.86 31705.22
583.58
577.30
571.02
31571.75
31376.16
31605.68
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
373971.34
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
56.70
480.58
27249.10
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 401220.442
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 47.80
R8Y16P.WK4
10/27/98
3-96
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORTC, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
31.5
34.3
39.7
41.7
44.3
46.2
46.6
47.3
48.6
49.0
50.3
50.2
50.8
51.0
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
15.75
32.90
37.00
40.70
43.00
45.25
46.40
46.95
47.95
48.80
49.65
50.25
50.50
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
,31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
596.15
589.86
583.58
577.30
571.02
Vol. flow
in segment
(col C X F)
10181.01
21060.28
23452.33
25541.84
26715.06
27828.63
28244.34
28284.13
28585.29
28785.39
28974.82
29009.24
28836.26
(use d=14 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
335498.61
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
51.00
480.58
24509.77
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 360008.383
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 42.89
R8Y16P.WK4
10/27/98
J-97
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Units 1 and 2
Wall Effects Run 8
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 33,575.5 sq. in.
radius: 103.38 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
drem 13.4
(B)
Axial vel.
V-d
ft/sec
22.6
26.7
28.6
34.3
38.9
43.6
45.9
47.5
48.9
50.6
50.2
52.7
53.1
53.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.30
24.65
27.65
31.45
36.60
41.25
44.75
46.70
48.20
49.75
50.40
51.45
52.90
Intern
calcu
pi(r-d+1)A2
33575.47
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
lediate
lations
pi(r-d)A2
32929.06
32288.93
31655.08
31027.52
30406.24
29791.24
29182.52
28580.09
27983.95
27394.08
26810.50
26233.20
25662.19
.-
Area of
segment
(col D - E)
646.41
640.13
633.85
627.56
621.28
615.00
608.71
602.43
Vol. flow
in segment
(col C X F)
7304.47
15779.21
17525.87
19736.88
22738.87
25368.64
27239.96
28133.53
596.15 28734.32
589.86
583.58
577.30
571.02
29345.76
29412.50
29701.99
30206.70
line 3)
(use d=14 for drem)
Total near-wall volumetric flow (total of column G)
311228.69
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
fa) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
53.10
480.58
25519.00
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 336747.684
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 40.12
R8Y16P.WK4
10/27/98
J-98
-------
ATTACHMENT B.
Conesville Station Unit 3
Wall Effects Calculation Forms
J-99
-------
This Page Intentionally Left Blank
UflfL
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT A, USl 12pt AUTOPROBE. STANDARD
Stack Area:
radius:
40,828.1 sq. in.
114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel,
V-d
ft/sec
5.2
5.2
5.2
5.2
10.1
13.1
13.9
15.3
15.0
16.0
17.1
16.6
16.7
16.5
18.2
17.4
18.1
18.4
18.9
18.8
18.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.60
5.20
5.20
5.20
7.65
11.60
13.50
14.60
15.15
15.50
16.55
16.85
16.65
16.60
17.35
17.80
17.75
18.25
18.65
18.85
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
1854.17
3675.66
3642.99
3610.32
5263.27
7908.01
9118.47
9769.72
10042.57
10177.19
10762.62
10851.84
10618.42
10482.23
10846.82
11016.31
10873.83
11065.47
11190.82
11192.39
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
140514.44
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.80
540.22
10156.19
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 150670,631
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 11.07
R4U12P.WK4
J-101
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
9.2
9.2
9.2
9.2
10.5
10.6
11.4
13.0
13.3
13.7
15.0
16.3
15.7
15.5
15.9
17.4
17.6
18.5
18.6
18.8
19.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.60
9,20
9.20
9.20
9.85
10.55
11.00
12.20
13.15
13.50
14.35
15.65
16.00
15.60
15.70
16.65
17.50
18.05
18.55
18,70
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
Vol. flow
in segment
(col C X F)
3280.45
6503.09
6445.29
6387.48
688.01 6776.88
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
7192.20
7429.86
8163.74
8716.82
8864.00
9331.94
10079.01
10203.89
9850.77
9815.27
10304.58
10720.68
10944.21
11130.82
11103.33
(use d=21 for drem)
Total near-wall volumetric flow (total of column G) 140065.97
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 1 9.1 0
b) Total area in remainder segment 540.22
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 10318.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 150384.235
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 11 .05
line 3)
line 4)
line 5a)
Iine5b)|
R4U12P.WK4
J-102
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT C, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
14.0
14.0
14.0
14.0
15.8
16.9
17.3
17.6
17.2
17.9
17.9
18.3
18.8
19.5
19.2
20.5
19.7
19.7
19.9
19.3
19.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.00
14.00
14.00
14.00
14.90
16.35
17.10
17.45
17.40
17.55
17.90
18.10
18.55
19.15
19.35
19.85
20.10
19.70
19.80
19.60
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013,27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86-
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650,31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
4991.99
9896.01
9808.05
9720.08
10251.33
11146.21
11550.06
11676.82
11534.04
11523.20
11640.54
11656.88
11830.13
12092.46
12097.17
12285.04
12313.47
11944.65
11880.87
11637.71
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
186013.48
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.50
540.22
10534.35
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 196547.828
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 14.44
R4U12P.WK4
10/28/98
J-103
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT D, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem 20.5
(B)
Axial vel.
V-d
ft/sec
13.5
13.5
13.5
13.5
13.8
15.1
14.8
15.9
16.0
17.0
17.9
17.8
17.3
17.6
17.8
18.0
19.4
19.4
18.4
19.4
19.7
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
6.75
13.50
13.50
13.50
13.65
14.45
14.95
15.35
15.95
16.50
17.45
17.85
17.55
17.45
17.70
17.90
18.70
19.40
18.90
18.90
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
mediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76-
30171.86
29559.25
28952,92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
4813.70
9542.58
9457.76
9372.94
9391.32
9850.93
10097.86
10271.59
10572.87
10833.78
11347.90
11495.87
11192.39
11018.98
11065.63
11078.19
11455.81
11762.75
11340.83
11222.08
line 3)
(used=21 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
19.70
540.22
area segment
172860.10
10642.40
183502.5
13.48
line 4)
line 5a)
line 5b)
R4U12P.WK4
J-104
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT A, US! 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
4.3
4.3
4.3
4.3
10.5
13.3
14.2
14.5
15.3
15.8
16.5
16.8
16.4
17.9
16.9
18.5
17.9
18.8
18.6
18.4
18.4
(C) (D) (E) (F) (G) ~
Decay vel.
avg of d, d-1
2.15
4.30
4.30
4.30
7.40
11.90
13.75
14.35
14.90
15.55
16.15
16.65
16.60
17.15
17.40
17.70
18.20
18.35
18.70
18.50
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013,27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700,57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
1533.25
3039.49
3012.47
2985.45
5091.26
8112.53
9287.33
9602.43
9876.85
10210.02
10502.50
10723.04
10586.54
10829.54
10878.08
10954.42
11149.51
11126.10
11220.82
10984.58
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
138374.70
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.40
540.22
9940.11
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 148314.804
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 10.90
R4Y12P.WK4
J-105
10/28/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT B, USI 12pt AUTOPROBE, YAW NULLED
line 1)
line 2)
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
8.4
8.4
8.4
8.4
9.8
11.2
12.7
12.5
13.4
14.7
14.7
14.7
15.2
15.0
17.0
16.4
17.1
19.3
18.7
19.8
19.1
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
4.20
8.40
8.40
8.40
9.10
10.50
11.95
12.60
12.95
14.05
14.70
14.70
14.95
15.10
16.00
16.70
16.75
18.20
19.00
19.25
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
2995.19
5937.61
5884.83
5832.05
6260.88
7158.12
8071.53
8431.40
8584.24
9225.13
9559.55
9467.19
9534.26
9535.04
10002.83
10335.52
10261.22
11035.15
11400.84
11429.90
(use d=21 for drem)
Total near-wall volumetric flow (total of column G) 137076.59
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem . 19.10
b) Total area in remainder segment 540.22
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 10318.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 147394.854
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 10.83
line 3)
line 4)
line 5a)
line 5b)
R4Y12P.WK4
J-106
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesviile, Unit 3
Wall Effects Run 4
PORT C, USI 12pt AUTOPROBE, YAW NULLED
Stack Area:
radius:
40,828.1 sq. in.
114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
14.7
14.7
14.7
14.7
15.8
16.0
16.5
16.6
17.7
17.5
18.7
18.7
18.6
19.6
19.2
19.9
18.9
18.2
19.5
18.6
20.5
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
7.35
14.70
14.70
14.70
15.25
15.90
16.25
16.55
17.15
17.60
18.10
18.70
18.65
19.10
19.40
19.55
19.40
18.55
18.85
19.05
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415,93
30790.76
30171.86'
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631 .46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
5241.59
10390.81
10298.45
10206.09
10492.13
10839.43
10975.94
11074.58
11368.32
11556.03
11770.60
12043.29
11893.91
12060.88
12128.43
12099.37
11884.64
11247.37
11310.83
11311.14
line 3)
(used=21 fordrem)
Total near-wall volumetric flow (total of column G)
186324.49
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.50
540.22
11074.57
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
197399.069
14.50
R4Y12P.WK4
J-107
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT D, US! 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20,5
(B)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
13.2
13.5
14.3
15.9
15.5
17.1
16.7
17.4
16.9
17.9
17.4
18.3
19.3
18.3
18.9
18.5
18.2
20.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
13.20
13.20
13.20
13.35
13.90
15.10
15.70
16.30
16.90
17.05
17.15
17.40
17.65
17.85
18.80
18.80
18.60
18.70
18.35
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86'
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
4706.73
9330.53
9247.59
9164.65
9184.91
9475.98
10199.18
10505.80
10804.88
11096.42
11087.78
11045.05
11096.73
11145.27
11159.40
11635.20
11517.07
11277.69
11220.82
10895.51
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
172403.16
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.00
540.22
10804.46
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 183207.623
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 13.46
R4Y12P.WK4
J-108
10/28/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT A, USI 12pt AUTOPROBE, STANDARD
line 1)
line 2)
Stack Area: 40,828,1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
5.8
5.8
5.8
5.8
10.1
13.9
14.2
14.3
16.1
16.4
16.2
16.6
16.9
17.2
17.7
18.0
17.3
18.0
18.8
17.6
18.1
(C) (D) (E) (F) (G) ^
Decay vel.
avg of d, d-1
2.90
5.80
5.80
5.80
7.95
12.00
14.05
14.25
15.20
16.25
16.30
16.40
16.75
17.05
17.45
17.85
17.65
17.65
18.40
18.20
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
Vol. flow
in segment
(col C X F)
2068.11
4099.78
4063.33
694.29 4026.89
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
5469.67
8180.70
9489.96
9535.52
10075.71
10669.63
10600.04
10562.03
10682.20
10766.39
10909.33
11047.25
10812.57
10701.67
11040.81
10806.45
(use d=21 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
143059.13
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axia! velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.10
540.22
9778.04
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 152837.164
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 11.23
R7U12P.WK4
J-109
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
8.5
8.5
8.5
8.5
10.3
10.0
12.7
11.8
14.1
15.3
13.7
14.3
15.5
15.7
18.0
18.2
17.4
18.6
18.8
19.0
19.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.25
8.50
8.50
8.50
9.40
10.15
11.35
12.25
12.95
14.70
14.50
14.00
14.90
15.60
16.85
18.10
17.80
18.00
18.70
18.90
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
3030.85
6008.29
5954.89
5901.48
6467.28
6919.51
7666.27
8197.20
8584.24
9651.91
9429.49
9016.37
9502.37
9850.77
10534.23
11201.97
10904.46
10913.89
11220.82
11222.08
line 3)
(use d=21 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
138821.59
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.50
540.22
10534.35
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 149355.94
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 10.97
R7U12P.WK4
J-110
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT C, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828,1 sq, in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6.
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
15.1
15.1
15.1
15.1
15.7
16.5
17.5
17.0
17.6
18.9
17.7
19.3
19.3
19.2
18.7
19.2
19.5
19.4
20.1
20.3
20.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.55
15.10
15.10
15.10
15.40
16.10
17.00
17.25
17.30
18.25
18.30
18.50
19.30
19.25
18.95
18.95
19.35
19.45
19.75
20.20
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643,54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86*
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
5384.22
10673.56
10578.68
10483.80
10595.33
10975.78
11482.52
11542.99
11467.75
11982.82
11900.66
11914.49
12308.44
12155.60
11847.10
11728.03
11854.01
11793.06
11850.87
11993.97
(use d=21 for drem)
Total near-wall volumetric flow (total of column G) 188875.78
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 20.20
b) Total area in remainder segment 540.22
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 10912.51
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 199788.288
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 14.68
line 3)
line 4)
line 5a)
line 5b)
R7U12P.WK4
J-Ui
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT D, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq, in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
12.4
12.4
12.4
12.4
14.4
14.7
15.7
15.9
17.6
17.4
17.2
17.8
17.7
18.8
19.2
18.9
18.5
18.4
19.7
19.2
19.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.20
12.40
12.40
12.40
13.40
14.55
15.20
15.80
16.75
17.50
17.30
17.50
17.75
18.25
19.00
19.05
18.70
18.45
19.05
19.45
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
PKr-^2_
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
4421.48
8765.04
8687.13
8609.22
9219.31
9919.10
10266.72
10572.71
11103.17
11490.37
11250.35
11270.46
11319.94
11524.14
11878.36
11789.92
11455.81
11186.74
11430.84
11548.65
(use d=21 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
173543.24!
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.30
540.22
10426.31
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 183969,55
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 13.52
R7U12P.WK4
J-112
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT A, USI 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
4.6
4.6
4.6
4.6
10.8
13.1
14.6
14,9
15.4
16.3
15.9
16.4
17.4
16.3
18.1
18.0
17.4
18.1
19.1
18.2
19.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.30
4.60
4.60
4.60
7.70
11.95
13.85
14.75
15.15
15.85
16.10
16.15
16.90
16.85
17.20
18.05
17.70
17.75
18.60
18.65
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86"
29559.25
28952,92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
1640.22
3251.55
3222.64
3193.74
5297.67
8146.62
9354.87
9870.10
10042.57
10406.99
10469.98
10401.02
10777.86
10640.10
10753.04
11171.03
10843.20
10762.31
11160.82
11073.64
line 3)
(used=21 for drem)
Total near-wall volumetric flow (total of column G)
139483.21
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.00
540.22
10264.24
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 149747.448
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 11.00
R7Y12P.WK4
J-113
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT B, USl 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
p,=
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
8.8
8.8
8.8
8.8
10.3
11.0
12.5
12.2
13.2
13.9
14.4
15.0
15.6
17.4
17.1
16.9
18.1
18.1
19.4
18.8
20.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.40
8.80
8.80
8.80
9.55
10.65
11.75
12.35
12.70
13.55
14.15
14.70
15.30
16.50
17.25
17.00
17.50
18.10
18.75
19.10
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643,54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86"
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
3137.82
6220.35
6165.06
6109.77
6570.48
7260.37
7936.45
8264.11
8418.52
8896.83
9201.88
9467.19
9757.47
10419.09
10784.30
10521.19
10720.68
10974.52
11250.83
11340.83
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
139851.56
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.50
540.22
11074.57
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 150926.134
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 11.09
R7Y12P.WK4
J-114
10/28/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT C, USI 12pt AUTOPROBE, YAW NULLED
line 1)
line 2)
Stack Area:
radius:
40,828.1 sq. in.
114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
15.4
15.4
15.4
15.4
15.4
17.0
16.8
16.1
17.1
17.9
17.5
17.7
19.2
18.6
19.3
18.6
19.1
19.0
20.1
19.9
20.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.70
15.40
15.40
15.40
15.40
16.20
16.90
16.45
16.60
17.50
17.70
17.60
18.45
18.90
18.95
18.95
18.85
19.05
19.55
20.00
Intern
calcu
pi(r-d-H)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329,16
32685.13
32047.39
31415.93
30790.76
30171.86"
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
5491.19
10885.61
10788.85
10692.09
10595.33
11043.95
11414.97
11007.67
11003.74
11490.37
11510.48
11334.86
11766.36
11934.59
11847.10
11728.03
11547.71
11550.53
11730.86
11875.22
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
186082.91
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.00
540.22
10804.46
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 196887.369
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 14.47
R7Y12P.WK4
J-115
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT D, USI 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20,5
(B)
Axial vel.
V-d
ft/sec
12.8
12.8
12.8
12.8
13.6
14.3
14.7
15.6
16.5
17.1
16.9
17.1
17.1
18.7
18.2
18.5
14.4
18.8
18.2
19.1
19.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.40
12.80
12.80
12.80
13.20
13.95
14.50
15.15
16.05
16.80
17.00
17.00
17.10
17.90
18.45
18.35
16.45
16.60
18.50
18.65
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968,10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
4564.10
9047.78
8967.36
8886.93
9081.71
9510.07
9793.91
10137.76
10639.16
11030.76
11055.26
10948.45
10905.41
11303.13
11534.51
11356.70
10077.44
10065.03
11100.81
11073.64
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
168840.44
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.40
540.22
10480.33
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 179320.767
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 13.18
R7Y12P.WK4
J-116
10/28/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT A, USI 12pt AUTOPROBE, STANDARD
line 1)
line 2)
Stack Area: 40,828.1 sq, in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
4.9
4.9
4.9
4.9
10.0
12.8
14.1
15.0
15.2
16.6
16.8
17.2
17.6
17.3
18.6
18.2
17.5
18.0
18.6
18.8
19.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.45
4.90
4.90
4.90
7.45
11.40
13.45
14.55
15.10
15.90
16.70
17.00
17.40
17.45
17.95
18.40
17.85
17.75
18.30
18.70
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86'
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
1747.20
3463.60
3432.82
3402,03
5125.66
7771.67
9084.70
9736.26
10009.42
10439.82
10860.17
10948.45
11096.73
11018.98
11221.92
11387.64
10935.10
10762.31
10980.81
11103.33
line 3)
(use d=21 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
141682.17
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.80
540.22
10696.42
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 152378.584
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 11.20
R10U12P.WK4
J-117
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A) (B)
Distance Axial vel.
from wall V-d
(inches) ft/sec
d= 1 9.3
d= 2 9.3
d= 3 9.3
d= 4 9.3
d= 5 9.9
d= 6 12.2
d= 7 12.0
d= 8 11.9
d= 9 13.7
d= 10 13.5
d= 11 14.2
d= 12 14.8
d= 13 16.3
d= 14 16.5
d= 15 17.4
d= 16 18.9
d= 17 18.4
d= 18 19.0
d= 19 20.0
d= 20 18.9
drem= 20.5 20.8
(use d=21 for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.65
9.30
9.30
9.30
9.60
11.05
12.10
11.95
12.80
13.60
13.85
14.50
15.56
16.41
16.95
18.15
18.65
18.70
19.50
19.45
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86*
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
' 606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
3316.11
6573.78
6515.35
6456.91
6604.88
7533.07
8172.85
7996.45
8484.81
8929.66
9006.79
9338.38
9920.09
10359.10
10596.75
11232.92
11425.18
11338.32
11700.86
11548.65
Total near-wall volumetric flow (total of column G) 142463.07
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 20.80
b) Total area in remainder segment 540.22
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 11236.64
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 53699.71 2
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 11 .29
line 3)
line 4)
line 5a)
line 5b)
R10U12P.WK4
J-118
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT C, USI 12pt AUTOPROBE, STANDARD
Stack Area:
radius:
40,828.1 sq. in.
114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
15.1
15.1
15.1
15.1
16.5
16.4
16.2
17.3
18.0
17.6
18.4
19.0
19.3
19.4
18.5
19.2
19.6
20.9
20.9
20.4
21.4
(use d=21 for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.55
15.10
15.10
15.10
15.80
16.45
16.30
16.75
17.65
17.80
18.00
18.70
19.15
19.35
18.95
18.85
19.40
20.25
20.90
20.65
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86'
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
5384.22
10673.56
10578.68
10483.80
10870.53
11214.38
11009.71
11208.41
11699.76
11687.35
11705.57
12043.29
12212.78
12218.75
11847.10
11666.14
11884.64
12278.13
12540.92
12261.16
Total near-wall volumetric flow (total of column G) 188388.68
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 21 .40
b) Total area in remainder segment 540.22
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 11560.77
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 199949.452
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 14.69
line 3)
line 4)
line 5a)
line 5b)
R10U12P.WK4
J-119
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT D, USI 12pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3,14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
i?)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
13.2
14.2
14.5
15.9
16.5
16.9
17.5
17.0
17.5
17.5
18.4
18.7
19.2
18.9
18.5
19.3
19.9
19.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
13.20
13.20
13.20
13.70
14.35
15.20
16.20
16.70
17.20
17.25
17.25
17.50
17.95
18.55
18.95
19.05
18.70
18.90
19.60
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
4706.73
9330.53
9247.59
9164.65
9425.72
9782.76
10266.72
10840.38
11070.03
11293.39
11217.84
11109.45
11160.50
11334.71
11597.03
11728.03
11670.23
11338.32
11340.83
11637.71
(used=21 fordrem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
-Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
19.90
540.22
area segment
174946.28
10750.44
185696.719
13.64
R10U12P.WK4
J-120
10/28/98
-------
fine 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT A, USI 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
^JBI_
Axial vel.
V-d
ft/sec
3.7
3.7
3.7
3.7
10.4
13.4
14.2
15.0
15.8
15.5
16.3
16.3
17.4
17.1
18.4
17.9
18.4
18.9
18.9
19.0
19.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
1.85
3.70
3.70
3.70
7.05
11.90
13.80
14.60
15.40
15.65
15.91
16.31
16.85
17.25
17.75
18.15
18,15
18.65
18.90
18.95
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
1319.31
2615.37
2592.13
2568.88
4850.46
8112.53
9321. 10
9769.72
10208.29
10275.67
10343.17
10500.85
10745.97
10892.68
11096.89
11232.92
11118.88
11308.00
11340.83
11251.77
line 3)
(used=21 fordrern)
Total near-wall volumetric flow (total of column G)
137564.83
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.00
540.22
10264.24
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 147829.067
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 10.86
R10Y12P.WK4
10/28/98
J-121
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT B, USI 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
9.1
9.1
9.1
9.1
10.3
11.7
11.7
12.7
12.7
13.4
14.1
13.6
15.7
15.1
18.2
16.8
18.1
18.9
19.3
20.7
20.5
(C) (D) (E) (F) (G) I
Decay vel.
avg of d, d-1
4.55
9.10
9.10
9.10
9.70
11.00
11.70
12.20
12.70
13.05
13.75
13.85
14.65
15.40
16.65
17.50
17.45
18.50
19.10
20.00
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
3244.79
6432.41
6375.23
6318.05
6673.68
7498.98
7902.67
8163.74
8418.52
8568.53
8941.75
8919.76
9342.94
9724.48
10409.19
10830.64
10690.05
11217.05
11460.84
11875.22
line 3)
(use d=21 for drem)
Total near-wall volumetric flow (total of column G)
138455.44
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.50
540.22
11074.57
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 149530.011
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 10.99
R10Y12P.WK4
J-122
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT C, USI 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
15.0
15.0
15.0
15.0
15.6
16.3
17.4
17.3
18.5
18.1
18.9
19.5
19.1
19.0
19.8
19.2
19.4
20.3
19.7
19.8
20.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.50
15.00
15.00
15.00
15.30
15.95
16.85
17.35
17.90
18.30
18.50
19.20
19.30
19.05
19.40
19.50
19.30
19.85
20.00
19.75
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86"
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600,04
593.76
Vol. flow
in segment
(col C X F)
5348.56
10602.87
10508.62
10414.38
10526.53
10873.52
11381.20
11609.91
11865.48
12015.65
12030.72
12365.30
12308.44
12029.31
12128.43
12068.42
11823.38
12035.59
12000.88
11726.78
line 3)
(used=21 fordrem)
Total near-wall volumetric flow (total of column G)
189900.73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4}
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.30
540.22
10966.53
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 200867.255
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 14.76
R10Y12P.WK4
10/28/98
J-123
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT D, USI 12pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
d= 18
d= 19
d= 20
drem= 20.5
(B)
Axial vel.
V-d
ft/sec
12.7
12.7
12.7
12.7
13.4
14.2
14.8
14.9
16.6
16.2
17.4
18.2
18.1
18.2
18.1
18.9
19.3
19.8
19.1
19.2
19.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.35
12.70
12.70
12.70
13.05
13.80
14.50
14.85
15.75
16.40
16.80
17.80
18.15
18.15
18.15
18.50
19.10
19.55
19.45
19.15
Intern
calcu
pi(r-d-H)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
30790.76
30171.86
29559.25
28952.92
28352.88
27759.12
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
625.18
618.89
612.61
606.33
600.04
593.76
Vol. flow
in segment
(col C X F)
4528.45
8977.10
8897.30
8817.50
8978.51
9407.81
9793.91
9937.01
10440.29
10768.12
10925.20
11463.67
11575.04
11461.00
11346.96
11449.53
11700.86
11853.70
11670.86
11370,52
line 3)
(use d=21 for drem)
170468.25!
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.90
540.22
10750.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 181218.694
b} Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 13.32
R10Y12P.WK4
J-124
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT A, USI 16ptAUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
:
(B)
Axial vel.
V-d
ft/sec
5.2
5.2
5.2
5.2
10.1
13.1
13.9
15.3
15.0
16.0
17.1
16.6
16.7
16.5
18.2
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
2.60
5.20
5.20
5.20
7.65
11.60
13.50
14.60
15.15
15.50
16.55
16.85
16.65
16.60
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
1854.17
3675.66
3642.99
3610.32
5263.27
7908.01
9118.47
9769.72
10042.57
10177.19
10762.62
10851.84
10618.42
10482.23
(use d=15 for drem)
line 3) Total near-wall volumetric flow (total of column G)
107777.48
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.20
794.83
14465.85
Wall-effect adjusted velocity in the Method 1 near-wallequal area segment
a) Add the values on lines 3 and 4. 122243.33
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11.98
R4U16P.WK4
J-125
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area:
radius:
40,828,1 sq. in.
114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
9.2
9.2
9.2
9.2
10.5
10.6
11.4
13.0
13.3
13.7
15.0
16.3
15.7
15.5
15.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.60
9.20
9.20
9.20
9.85
10.55
11.00
12.20
13.15
13.50
14.35
15.65
16.00
15.60
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.9a
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
3280.45
6503.09
6445.29
6387.48
6776.88
7192.20
7429.86
8163.74
8716.82
8864.00
9331.94
10079.01
10203.89
9850.77
, ,
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
109225.44
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
15.90
794.83
12637.75
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 121863.187
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11.94
R4U16P.WK4
J-126
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORTC, US! 16ptAUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(1)
Axial vel.
V-d
ft/sec
14.0
14.0
14.0
14.0
15.8
16.9
17.3
17.6
17.2
17.9
17.9
18.3
18.8
19.5
19.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.00
14.00
14.00
14.00
14.90
16.35
17.10
17.45
17.40
17.55
17.90
18.10
18.55
19.15
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93.
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
4991.99
9896.01
9808.05
9720.08
10251.33
11146.21
11550.06
11676.82
11534.04
11523.20
11640.54
11656.88
11830.13
12092.46
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
149317.80
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area In remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.20
794.83
15260.68
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 164578.478
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 16.12
R4U16P.WK4
10/28/98
J-127
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT D, USl 16pt AUTOPROBE, STANDARD
line 1)
line 2)
Stack Area: 40,828.1 sq, in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
13.5
13.5
13.5
13.5
13.8
15.1
14.8
15.9
16.0
17.0
17.9
17.8
17.3
17.6
17.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.75
13.50
13.50
13.50
13.65
14.45
14.95
15.35
15.95
16.50
17.45
17.85
17.55
17.45
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
4813.70
9542.58
9457.76
9372.94
9391.32
9850.93
10097.86
10271.59
10572.87
10833.78
11347.90
11495.87
11192.39
11018.98
line 3)
(used=15 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
17.80
794.83
14147.92
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. . 153408.387
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 15.03
R4U16P.WK4
J-I28
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT A, USI 16ptAUTOPROBE, YAW-NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
4.3
4.3
4.3
4.3
10.5
13.3
14.2
14.5
15.3
15.8
16.5
16.8
16.4
17.9
16.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.15
4.30
4.30
4.30
7.40
11.90
13.75
14.35
14.90
15.55
16.15
16.65
16.60
17.15
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
1533.25
3039.49
3012.47
2985.45
5091.26
8112.53
9287.33
9602.43
9876.85
10210.02
10502.50
10723.04
10586.54
10829.54
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
105392.70
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
16.90
794.83
13432.57
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 118825.273
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11.64
R4Y16P.WK4
J-129
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wail Run 4
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
pi =
3.14159
radius:
114 in
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
8.4
8.4
8.4
8.4
9.8
11.2
12.7
12.5
13.4
14.7
14.7
14.7
15.2
15.0
17.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.20
8.40
8.40
8.40
9.10
10.50
11.95
12.60
12.95
14.05
14.70
14.70
14.95
15.10
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013,27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
2995.19
5937.61
5884.83
5832.05
6260.88
7158.12
8071.53
8431.40
8584.24
9225.13
9559.55
9467.19
9534.26
9535.04
line 3)
(use d=15fordrem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
106477.02
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
17.00
794.83
13512.06
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 119989.076
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11.76
R4Y16P.WK4
J-130
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT C, USi 16pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
14.7
14.7
14.7
14.7
15.8
16.0
16.5
16.6
17.7
17.5
18.7
18.7
18.6
19.6
19.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.35
14.70
14.70
14.70
15.25
15.90
16.25
16.55
17.15
17.60
18.10
18.70
18.65
19.10
Intern
calcu
pi(r-d+1Jฃ2_
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
5241.59
10390.81
10298.45
10206.09
10492.13
10839.43
10975.94
11074.58
11368.32
11556.03
11770.60
12043.29
11893.91
12060.88
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
150212.06
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.20
794.83
15260.68
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
165472.732
16.21
R4Y16P.WK4
J-131
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 4
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
40,828,1 sq. in.
114 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
-- ^,,,;;v;;;;v;v
(B)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
13.2
13.5
14.3
15.9
15.5
17.1
16.7
17.4
16.9
17.9
17.4
18.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
13.20
13.20
13.20
13.35
13.90
15.10
15.70
16.30
16.90
17.05
17.15
17.40
17.65
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
4706.73
9330.53
9247.59
9164.65
9184.91
9475.98
10199.18
10505.80
10804.88
11096.42
11087.78
11045.05
11096.73
11145.27
(use d=15 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
18.30
794.83
segment
138091.48
14545.33
152636.814
14.95
R4Y16P.WK4
J-132
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area: 40,828,1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
5.8
5.8
5.8
5.8
10.1
13.9
14.2
14.3
16.1
16.4
16.2
16.6
16.9
17.2
17.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.90
5.80
5.80
5.80
7.95
12.00
14.05
14.25
15.20
16.25
16.30
16.40
16.75
17.05
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643,54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
2068.11
4099.78
4063.33
4026.89
5469.67
8180.70
9489.96
9535.52
10075.71
10669.63
10600.04
10562.03
10682.20
10766.39
line 3)
(use d=15fordrem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
110289.97
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
17.70
794.83
14068.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 124358.404
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 12.18
R7U16P.WK4
J-133
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel,
V-d
ft/sec
8.5
8.5
8.5
8.5
10.3
10.0
12.7
11.8
14.1
15.3
13.7
14.3
15.5
15.7
18.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.25
8.50
8.50
8.50
9.40
10.15
11.35
12.25
12.95
14.70
14.50
14.00
14.90
15.60
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
3030.85
6008.29
5954.89
5901.48
6467.28
6919.51
7666.27
8197.20
8584.24
9651.91
9429.49
9016.37
9502.37
9850.77
(use d=15 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
106180.92
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.00
794.83
14306.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 120487.808
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11.80
R7U16P.WK4
J-H4
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORTC, USI 16pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14,6
(B)
Axial vel.
V-d
ft/sec
15.1
15.1
15.1
15.1
15.7
16.5
17.5
17.0
17.6
18.9
17.7
19.3
19.3
19.2
18.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.55
15.10
15.10
15.10
15.40
16.10
17.00
17.25
17.30
18.25
18.30
18.50
19.30
19.25
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93,
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
5384.22
10673.56
10578.68
10483.80
10595.33
10975.78
11482.52
11542.99
11467.75
11982.82
11900.66
11914.49
12308.44
12155.60
(use d=15 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
153446.64
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.70
794.83
14863.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 168309.901
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 16.49
R7U16P.WK4
J-135
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT D, USI 16pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
__JB)
Axial vel.
V-d
ft/sec
12.4
12.4
12.4
12.4
14.4
14.7
15.7
15.9
17.6
17.4
17.2
17.8
17.7
18.8
19.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.20
12.40
12.40
12.40
13.40
14.55
15.20
15.80
16.75
17.50
17.30
17.50
17.75
18.25
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643,54
35968.10
35298.94
34636,06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
I
Vol. flow
in segment
(col C X F)
4421.48
8765.04
8687.13
8609.22
9219.31
9919.10
10266.72
10572.71
11103.17
11490.37
11250.35
11270.46
11319.94
11524.14
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
138419.15
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.20
794.83
15260.68
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 153679.826
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 15.06
R7U16P.WK4
J-136
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT A, USI 16ptAUTOPROBE, YAW-NULLED
Stack Area: 40,828.1 sq. in,
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
4.6
4.6
4.6
4.6
10.8
13.1
14.6
14.9
15.4
16.3
15.9
16.4
17.4
16.3
18.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.30
4.60
4.60
4.60
7.70
11.95
13.85
14.75
15.15
15.85
16.10
16.15
16.90
16.85
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979,47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
1640.22
3251.55
3222.64
3193.74
5297.67
8146.62
9354.87
9870.10
10042.57
10406.99
10469.98
10401.02
10777.86
10640.10
(use d=15 for drem)
line 3) Total near-wall volumetric flow (total of column G)
106715.94!
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.10
794.83
14386.37
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
121102.304
11.86
R7Y16P.WK4
J-137
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area:
radius:
40,828.1 sq. in.
114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
8.8
8.8
8.8
8.8
10.3
11.0
12.5
12.2
13.2
13.9
14.4
15.0
15.6
17.4
17.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.40
8.80
8.80
8.80
9.55
10.65
11.75
12.35
12.70
13.55
14.15
14.70
15.30
16.50
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
3137.82
6220.35
6165.06
6109.77
6570.48
7260.37
7936.45
8264.11
8418.52
8896.83
9201.88
9467.19
9757.47
10419.09
(use d=1 5 for drem)
Total near-wall volumetric flow (total of column G) 107825.39
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 1 7. 1 0
b) Total area in remainder segment 794.83
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 13591.54
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 121416.929
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11 .90
line 3)
line 4)
line 5a)
line 5b)
R7Y16P.WK4
J-138
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wai! Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT C, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
15.4
15.4
15.4
15.4
15.4
17.0
16.8
16.1
17.1
17.9
17.5
17.7
19.2
18.6
19.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.70
15.40
15.40
15.40
15.40
16.20
16.90
16.45
16.60
17.50
17.70
17.60
18.45
18.90
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93,
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
5491.19
10885.61
10788.85
10692.09
10595.33
11043.95
11414,97
11007.67
11003.74
11490.37
11510.48
11334.86
11766.36
11934.59
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
150960.07
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.30
794.83
15340.16
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 166300.228
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 16.29
R7Y16P.WK4
J-139
10/28/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 7
PORT D, USl 16pt AUTOPROBE, YAW-NULLED
Stack Area: 40,828.1 sq, in.
line 1) radius: 114 in
p,=
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
12.8
12.8
12.8
12.8
13.6
14.3
14.7
15.6
16.5
17.1
16.9
17.1
17.1
18.7
18.2
(C) (D) (E) (F) (G) 1
Decay vel.
avg ofd, d-1
6.40
12.80
12.80
12.80
13.20
13.95
14.50
15.15
16.05
16.80
17.00
17.00
17.10
17.90
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
4564.10
9047.78
8967.36
8886.93
9081.71
9510.07
9793.91
10137.76
10639.16
11030.76
11055.26
10948.45
10905.41
11303.13
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
135871.79
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.20
794.83
14465.85
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines, 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
150337.64
14.73
i
R7Y16P.WK4
J-140
10/28/98
-------
line 1}
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area:
radius:
40,828,1 sq. in,
114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1 -
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14,6
(B)
Axial vel.
V-d
ft/sec
4.9
4.9
4.9
4.9
10.0
12.8
14.1
15.0
15.2
16.6
16.8
17.2
17.6
17.3
18.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.45
4,90
4.90
4.90
7.45
11.40
13.45
14.55
15.10
15.90
16.70
17.00
17.40
17.45
Intern
caicu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
ledtate
lations
pi(r-d)A2
40115,00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
1747.20
3463.60
3432.82
3402.03
5125.66
7771 .67
9084.70
9736.26
10009.42
10439.82
10860.17
10948.45
11096.73
11018.98
(use d= 15 for drem)
Total near-wall volumetric flow (total of column G) 108137.51
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 1 8.60
b) Total area in remainder segment 794.83
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 14783.78
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 22921 .287
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 12.04
line 3)
line 4)
line 5a)
line 5b)
R10U16P.WK4
J-141
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq, in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
9.3
9.3
9.3
9.3
9.9
12.2
12.0
11.9
13.7
13.5
14.2
14.8
16.3
16.5
17.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.65
9.30
9.30
9.30
9.60
11.05
12.10
11.95
12.80
13.60
13.85
14.50
15.56
16.41
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)j
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
3316.11
6573.78
6515.35
6456.91
6604.88
7533.07
8172.85
7996.45
8484.81
8929.66
9006.79
9338.38
9920.09
10359.10
line 3)
(use d=15 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
109208.22
Volumetric flow in remainder of the Method 1 near-wal! equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
17.40
794.83
13829.99
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 123038.212
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 12.0S
R10U16P.WK4
J-142
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORTC, USI 16pt AUTOPROBE, STANDARD
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
15.1
15.1
15.1
15.1
16.5
16.4
16.2
17.3
18.0
17.6
18.4
19.0
19.3
19.4
18.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.55
15.10
15.10
15.10
15.80
16.45
16.30
16.75
17.65
17.80
18.00
18.70
19.15
19.35
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
5384.22
10673.56
10578.68
10483.80
10870.53
11214.38
11009.71
11208.41
11699.76
11687.35
11705.57
12043.29
12212.78
12218.75
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
152990.79
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.50
794.83
14704.30
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 167695.091
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 16.43
R10U16P.WK4
J-143
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT D, USI 16pt AUTOPROBE, STANDARD
Stack Area; 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
_JB)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
13.2
14.2
14.5
15.9
16.5
16.9
17.5
17.0
17.5
17.5
18.4
18.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
13.20
13.20
13.20
13.70
14.35
15.20
16.20
16.70
17.20
17.25
17.25
17.50
17.95
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
LJcoI C X F)
4706.73
9330.53
9247.59
9164.65
9425.72
9782.76
10266.72
10840.38
11070.03
11293.39
11217.84
11109.45
11160.50
11334.71
(use d=15 for drem)
line 3) Total near-wall volumetric flow (total of column G)
line 4)
line 5a)
line 5b)
139950.99
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.70
794.83
14863.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 154814.253
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 15.17
R10U16P.WK4
J-144
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 40,828,1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
3.7
3.7
3.7
3.7
10.4
13.4
14.2
15.0
15.8
15.5
16.3
16.3
17.4
17.1
18.4
(C) (D) (E) (F) (G) n
Decay vel.
avg of d, d-1
1.85
3.70
3.70
3.70
7.05
11.90
13.80
14.60
15.40
15.65
15.91
16.31
16.85
17.25
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
. 713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
1319.31
2615.37
2592.13
2568.88
4850.46
8112.53
9321.10
9769.72
10208.29
10275.67
10343.17
10500.85
10745.97
10892.68
(use d=15 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
104116.14
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.40
794.83
14624.81
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 118740.959
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11.63
R10Y16P.WK4
J-145
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14,6
__JB)
Axial vel.
V-d
ft/sec
9.1
9.1
9.1
9.1
10.3
11.7
11.7
12.7
12.7
13.4
14.1
13.6
15.7
15.1
18.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.55
9.10
9.10
9.10
9.70
11.00
11.70
12.20
12.70
13.05
13.75
13.85
14.65
15.40
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669,16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
3244.79
6432.41
6375.23
6318.05
6673.68
7498.98
7902.67
8163.74
8418.52
8568.53
8941.75
8919.76
9342.94
9724.48
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
106525.56
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.20
794.83
14465.85
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 120991.405
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 11.85
R10Y16P.WK4
J-146
10/28/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT C, USI16pt AUTOPROBE, YAW NULLED
Stack Area: 40,828.1 sq. in.
radius: 114 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= . 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
15.0
15.0
15.0
15.0
15.6
16.3
17.4
17.3
18.5
18.1
18.9
19.5
19.1
19.0
19.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.50
15.00
15.00
15.00
15.30
15.95
16.85
17.35
17.90
18.30
18.50
19.20
19,30
19.05
Intern
calcu
pi(r-d-f-1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
5348.56
10602.87
10508.62
10414.38
10526.53
10873.52
11381.20
11609.91
11865.48
12015.65
12030.72
12365.30
12308.44
12029.31
(used=15fordrem)
Total near-wall volumetric flow (total of column G) 153880.49
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 1 9.80
b) Total area in remainder segment 794.83
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15737.57
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 169618.065
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 16.62
R10Y16P.WK4
J-147
10/28/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville, Unit 3
Wall Effects Run 10
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 40,828.1 sq, in,
radius: 114 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.6
(B)
Axial vel.
V-d
ft/sec
12.7
12.7
12.7
12.7
13.4
14.2
14.8
14.9
16.6
16.2
17.4
18.2
18.1
18.2
18.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.35
12.70
12.70
12.70
13.05
13.80
14.50
14.85
15,75
16.40
16,80
17.80
18.15
18.15
Intern
calcu
pi(r-d+1)A2
40828.14
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
lediate
lations
pi(r-d)A2
40115.00
39408.14
38707.57
38013.27
37325.27
36643.54
35968.10
35298.94
34636.06
33979.47
33329.16
32685.13
32047.39
31415.93
Area of
segment
(col D - E)
713.14
706.86
700.57
694.29
688.01
681.73
675.44
669.16
662.88
656.59
650.31
644.03
637.74
631.46
Vol. flow
in segment
(col C X F)
4528.45
8977.10
8897.30
8817.50
8978.51
9407.81
9793.91
9937.01
10440.29
10768.12
10925.20
11463.67
11575.04
11461.00
(use d=15 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
135970.91
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.10
794.83
14386.37
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 150357.274
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 14.73
R10Y16P.WK4
J-148
10/28/98
-------
ATTACHMENT C.
Conesville Station Unit 5
Wall Effects Calculation Forms
J-149
-------
This Page Intentionally Left Blank
J-150
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
_JB)
Axial vel.
V-d
ft/sec
24.5
28.5
31.2
34.7
35.3
35.5
37.8
40.6
38.6
40.0
38.7
39.9
43.3
41.5
41.5
42.4
43.6
44.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.25
26.50
29.85
32.95
35.00
35.40
36.65
39.20
39.60
39.30
39.35
39.30
41.60
42.40
41.50
41.95
43.00
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461,87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15663.19
33717.13
37791.93
41509.69
43872.32
44151.29
45480.03
48398.10
48643.14
48027.70
47841.56
47533.84
50054.34
50750.52
49412.52
49684.74
50658.16
line 3)
(use d=18for drem)
Total near-wall volumetric flow (total of column G)
753190.19
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
44.30
22697.57
1005502.55
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1758692.75
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 40.36
R4U12P.WK4
10/30/98
J-151
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
24.2
29.8
29.2
33.9
36.2
34.6
38.4
39.4
37.9
39.6
38.6
38.2
39.5
40.3
42.1
41.7
42.3
41.9
(C) (D) (E) (F) (G) I
Decay vel.
avg of d, d-1
12.10
27.00
29.50
31.55
35.05
35.40
36.50
38.90
38.65
38.75
39.10
38.40
38.85
39.90
41.20
41.90
42.00
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(co! C X F)
15471.39
34353.30
37348.81
39746.00
43934.99
44151.29
45293.89
48027.70
47476.20
47355.56
47537.61
46445.28
46745.46
47758.15
49055.32
49625.52
49480.06
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
739806.S4
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.90
22697.57
951028.38
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1690834.92
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.80
R4U12P.WK4
10/30/98
J-152
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT C, USI 12pt AUTOPROBE, STANDARD
Stack Area: 130,740.5 sq. in,
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
25.4
28.5
30.0
33.4
36.5
37.0
38.2
39.9
38.4
40.0
38.8
39.2
41.2
41.6
41.2
41.5
42.2
41.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.70
26.95
29.25
31.70
34.95
36.75
37.60
39.05
39.15
39.20
39.40
39.00
40.20
41.40
41.40
41.35
41.85
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923-47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
16238,57
34289.68
37032.29
39934.96
43809.65
45835.03
46658.91
48212.90
48090.38
47905.49
47902.35
47170.99
48369.82
49553.57
49293.45
48974.11
49303.35
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
748575.51
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.70
22697.57
946488.86
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1695064.37
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.90
R4U12P.WK4
J-153
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT A, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq, in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
23.4
27.8
31.9
33.8
36.6
36.8
40.4
39.8
40.2
40.3
39.3
40.7
40.3
41.2
41.5
42.0
42.7
42.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.70
25.60
29.85
32.85
35.20
36.70
38.60
40.10
40.00
40.25
39.80
40.00
40.50
40.75
41.35
41.75
42.35
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(colCXF)
14959.94
32572.02
37791.93
41383.71
44123.02
45772.67
47899.84
49509.28
49134.49
49188.68
48388.67
48380.50
48730.79
48775.56
49233.92
49447.86
49892.39
(use d=18 for drem)
line 3)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
75S185.26
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.70
22697.57
969186.43
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1724371.7
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 39.57
R4Y12P.WK4
10/30/98
J-154
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT B, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
23.8
30.5
31.1
31.9
34.3
34.9
37.5
38.5
36.6
37.9
37.9
38.0
39.2
39.3
40.7
41.4
42.6
42.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.90
27.15
30.80
31.50
33.10
34.60
36.20
38.00
37.55
37.25
37.90
37.95
38.60
39.25
40.00
41.05
42.00
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15215.67
34544.15
38994.69
39683.01
41490.68
43153.52
44921.61
46916.52
46125.00
45522.44
46078.66
45901.00
46444.66
46980.14
47626.52
48618.79
49480.06
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
727697.12
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.30
22697.57
960107.41
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1687804.53
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.73
R4Y12P.WK4
10A30/98
J-155
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT C, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27,5
(B)
Axial vel.
V-d
ft/sec
23.4
27.6
30.8
32.5
35.4
36.4
39.1
39.5
37.9
37.3
38.6
39.9
38.8
40.4
40.5
42.5
42.9
41.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.70
25.50
29.20
31.65
33.95
35.90
37.75
39.30
38.70
37.60
37.95
39.25
39.35
39.60
40.45
41.50
42.70
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
uiec-1 C X F)
14959.94
32444.78
36968.99
39871.97
42556.15
44774.90
46845.05
48521.56
47537.61
45950.17
46139.45
47473.37
47347.08
47399.07
48162.32
49151.76
50304.73
line 3)
(use d=18 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
736408.91
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.90
22697.57
951028.38
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1687437.29
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.72
R4Y12P.WK4
J-156
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
23.5
28.0
29.1
32.7
34.7
35.1
36.6
37.7
37.8
38.5
38.2
38.7
40.7
40.0
42.8
42.5
43.4
43.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.75
25.75
28.55
30.90
33.70
34.90
35.85
37.15
37.75
38.15
38.35
38.45
39.70
40.35
41.40
42.65
42.95
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15023.87
32762.87
36146.05
38927.14
42242.78
43527.69
44487.29
45867.07
46370.67
46622.31
46625,77
46505.76
47768.21
48296.78
49293.45
50513.80
50599.25
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
area segment
43.90
22697.57
area segment
731580.76
996423.52
1728004.28
line 3)
line 4)
line 5a)
line 5b)
This is the substitute velocity value, V.
39.65
R8U12P.WK4
M57
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT B, USl 12pt AUTOPROBE, STANDARD
Stack Area: 130,740,5 sq, in.
radius: 204 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
22.4
26.5
29.7
30.1
33.6
33.7
36.2
35.9
35.3
37.7
37.0
38.4
39.1
38.2
40.2
42.4
41.9
42.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.20
24.45
28.10
29.90
31.85
33.65
34.95
36.05
35.60
36.50
37.35
37.70
38.75
38.65
39.20
41.30
42.15
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41.
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14320.63
31108.82
35576.32
37667.36
39923.81
41968.67
43370.45
44508.96
43729.69
44605.88
45409.97
45598.62
46625.14
46261.97
46673.99
48914.89
49656.78
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
705921.97
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.80
22697.57
971456.19
Wail-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1677378.16
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.49
R8U12P.WK4
J-158
10/30/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORTC, USI 12ptAUTOPROBE, STANDARD
line 1)
line 2)
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
22.5
26.8
30.4
31.9
32.7
34.4
34.7
37.5
36.9
38.7
40.4
38.2
39.4
39.0
42.4
42.1
43.5
43.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.65
28.60
31.15
32.30
33.55
34.55
36.10
37.20
37.80
39.55
39.30
38.80
39.20
40.70
42.25
42.80
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14384.56
31363.29
36209.35
39242.09
40487.88
41843.95
42874.08
44570.70
45695.07
46194.58
48084.72
47533.84
46685.30
46920,29
48459.99
50040.05
50422.54
-I
(use d=18 for drem)
line 3) iTotal near-wall volumetric flow (total of column G)
721012.29
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.10
22697.57
978265.46
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1699277.75
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.99
R8U12P.WK4
J-159
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wail Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT A, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq. in.
radius: 204 in
P'
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
__JB)
Axial vel.
V-d
ft/sec
22.1
27.9
30.3
32.3
33.5
34.6
36.4
37.0
37.0
39.1
39.6
39.1
39.3
41.7
41.1
43.3
43.3
43.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.05
25.00
29.10
31.30
32.90
34.05
35.50
36.70
37.00
38.05
39.35
39.35
39.20
40.50
41.40
42.20
43.30
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14128.83
31808.61
36842.38
39431.05
41239.98
42467.56
44052.96
45311.48
45449.40
46500.10
47841 .56
47594.32
47166.59
48476.32
49293.45
49980.83
51011.59
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
728597.03
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.60
22697.57
989614.25
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1718211.28
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 39.43
R8Y12P.WK4
J-160
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wail Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT B, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/see
22.8
26.3
28.9
30.8
33.1
33.1
35.3
34.9
35.5
34.8
38.8
38.1
37.1
39.7
40.6
43.6
42.9
42.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.40
24.55
27.60
29.85
31.95
33.10
34.20
35.10
35.20
35.15
36.80
38.45
37.60
38.40
40.15
42.10
43.25
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228,36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14576.35
31236.05
34943.29
37604.37
40049.16
41282.71
42439.75
43336.05
43238.35
42956.08
44741.28
46505.76
45241.43
45962.74
47805.12
49862.39
50952.68
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
702733.57
line 4)
line 5a)
line 5b)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col
Multiply a) by b)
42.70
22697.57
969186,43
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1671920
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.36
R8Y12P.WK4
J-161
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT C, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
21.9
27.0
28.1
31.2
31.6
34.2
34.2
36.0
36.0
37.8
38.8
38.5
39.7
39.7
41.6
42.9
43.4
43.7
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
10.95
24.45
27.55
29.65
31.40
32.90
34.20
35.10
36.00
36.90
38.30
38.65
39.10
39.70
40.65
42.25
43.15
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14000.97
31108.82
34879.99
37352.42
39359.74
41033.26
42439.75
43336.05
44221.04
45094.71
46564.98
46747.66
47046.27
47518.77
48400.45
50040.05
50834.87
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
709979.81
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.70
22697.57
991884.01
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1701863.82
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 39.05
R8Y12P.WK4
J-162
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area: 130,740.5 sq, in.
radius: 204 in
pi =
3.14159
(A) (B)
Distance Axial vel,
from wall V-d
(inches) ft/sec
d= 1 24.5
d= 2 29.8
d= 3 33.7
d= 4 33.7
d= 5 36.1
d= 6 36.7
d= 7 39.6
d= 8 40.2
d= 9 39.5
d= 10 39.4
d= 11 39.2
d= 12 39.6
d= 13 40.4
d= 14 40.9
d= 15 42.1
d= 16 42.0
d= 17 43.1
drem 27.5 41.2
(used=18fordrem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.25
27.15
31.75
33.70
34.90
36.40
38.15
39.90
39.85
39.45
39.30
39.40
40.00
40.65
41.50
42.05
42.55
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15663.19
34544.15
40197.44
42454.52
43746.97
45398.50
47341.42
49262.35
48950.23
48211.01
47780.77
47654.80
48129.18
48655.86
49412.52
49803.17
50128.01
Total near-wall volumetric flow (total of column G) 757334,11
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 41 .20
b) Total area in remainder segment 22697.57
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 935140.07
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1692474.18
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.84
line 3)
line 4)
line 5a)
line 5b)
R11U12P.WK4
10/30/98
J-163
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vet.
V-d
ft/sec
23.5
28.4
31.8
32.3
34.1
35.1
38.0
37.9
39.7
39.6
37.1
38.5
38.7
40.0
40.2
40.5
40.4
41.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.75
25.95
30.10
32.05
33.20
34.60
36.55
37.95
38.80
39.65
38.35
37.80
38.60
39.35
40.10
40.35
40.45
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
{col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15023.87
33017.34
38108.44
40375.89
41616.03
43153.52
45355.94
46854.79
47660.45
48455.43
46625.77
45719.58
46444.66
47099.83
47745.59
47789.73
47654.01
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
728700.86
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.10
22697.57
932870.32
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1661571.18
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.13
R11U12P.WK4
J-164
10/30/98
-------
line 1)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT C, USI 12pt AUTOPROBE, STANDARD
Stack Area: 130,740,5 sq. in.
radius; 204 in
pi =
3.14159
line 2)
line 3)
line 4)
line 5a)
line 5b)
(A) (B)
Distance Axial vel.
from wall V-d
(Inches) ft/sec
d= 1 23.8
d= 2 29.3
d= 3 31.4
d= 4 34.4
d= 5 35.4
d= 6 36.5
d= 7 37.1
d= 8 39.6
d= 9 38.5
d= 10 38.9
d= 11 37.9
d= 12 38.9
d= 13 39.3
d= 14 39.7
d= 15 41.1
d= 16 41.0
d= 17 41.0
drem 27.5 44.1
(use d=18 for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.90
26.55
30.35
32.90
34.90
35.95
36.80
38.35
39.05
38.70
38.40
38.40
39.10
39.50
40.40
41.05
41.00
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
\
Vol. flow
in segment
(col C X F)
15215.67
33780.74
38424.96
41446.70
43746.97
44837.26
45666.17
47348.65
47967,54
47294.46
46686.56
46445.28
47046.27
47279.38
48102.79
48618.79
48301.96
Total near-wall volumetric flow (total of column G) 738210.14
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 44. 1 0
b) Total area in remainder segment 22697.57
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 1000963.04
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1739173.18
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 39.91
R11U12P.WK4
J-165
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT A, USi 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq, in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
23.3
29.4
31.1
35.7
37.1
34.3
39.3
41.4
39.1
39.7
38.9
40.9
40.7
40.6
41.6
40.6
41.4
42.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.65
26.35
30.25
33.40
36.40
35.70
36.80
40.35
40.25
39.40
39.30
39.90
40.80
40.65
41.10
41.10
41.00
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14896.01
33526.27
38298.35
42076.59
45627.21
44525.46
45666.17
49817.94
49441.58
48149.91
47780.77
48259.55
49091.76
48655.86
48936.25
48678.01
48301.96
(used=18fordrem)
Total near-wall volumetric flow (total of column G) 751729.67
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 42.00
b) Total area in remainder segment 22697,57
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 953298.13
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1705027.8
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 39.12
line 3)
line 4)
line 5a)
line 5b)
R11Y12P.WK4
J-166
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT B, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
24.1
28.5
29.8
30.4
33.5
35.1
38.3
38.9
37.4
40.2
36.5
38.2
38.7
40.0
40.7
39.2
40.7
41.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.05
26.30
29.15
30.10
31.95
34.30
36.70
38.60
38.15
38.80
38.35
37.35
38.45
39.35
40.35
39.95
39.95
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(col D - E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15407.46
33462.66
36905.68
37919.32
40049.16
42779.36
45542.08
47657.31
46862.02
47416.66
46625.77
45175.30
46264.17
47099.83
48043.25
47315.98
47064.96
(used=18fordrem)
Total near-wall volumetric flow (total of column G) 721590.97
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 41 .50
b) Total area in remainder segment 22697.57
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 94T949.35
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1663540.31
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.17
line 3)
line 4)
line 5a)
line 5b)
R11Y12P.WK4
J-167
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT C, USI 12pt AUTOPROBE, yaw nulled
Stack Area: 130,740.5 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
23.1
28.0
31.4
33.1
35.1
35.5
37.5
40.6
40.0
39.8
39.2
39.2
40.0
40.5
42.7
39.3
41.9
41.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.55
25.55
29.70
32.25
34.10
35.30
36.50
39.05
40.30
39.90
39.50
39.20
39.60
40.25
41.60
41.00
40.60
Intern
calcu
pi(r-d+1)A2
130740.50
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
lediate
lations
pi(r-d)A2
129461.87
128189.53
126923.47
125663.69
124410.19
123162.98
121922.05
120687.41
119459.05
118236.97
117021.17
115811.66
114608.43
113411.48
112220.82
111036.44
109858.34
Area of
segment
(colD-E)
1278.63
1272.34
1266.06
1259.78
1253.49
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.51
1203.23
1196.95
1190.66
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14768.15
32508.40
37602.02
40627.84
42744.17
44026.57
45293.89
48212.90
49502.99
48760.95
48023.93
47412.89
47647.88
48177.09
49531.58
48559.57
47830.73
I
(used=18fordrem)
Total near-wall volumetric flow (total of column G) 741231.57
Volumetric flow in remainder of the Method 1 near-wail equal area segment
a) Axial velocity at drem 41 .70
b) Total area in remainder segment 22697.57
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 946488.86
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 687720.43
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 38.73
line 3)
line 4)
line 5a)
line 5b)
R11Y12P.WK4
J-168
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.5
28.5
31.2
34.7
35.3
35.5
37.8
40.6
38.6
40.0
38.7
39.9
43.3
41.5
41.5
42.4
43.6
44.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.25 ,
26.50
29.85
32.95
35.00
35.40
36.65
39.20
39.60
39.30
39.35
39.30
41.60
42.40
41.50
41.95
43.00
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
iations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196,95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15663.22
33717.19
37792.00
41509.77
43872.41
44151.38
45480.12
48398.19
48643.24
48027.80
47841.66
47533.94
50054.45
50750.62
49412.62
49684.84
50658.26
(use d=18 for drem)
Total near-wall volumetric flow (total of column G) 753191 .70
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 44.30
b) Total area in remainder segment 1 1803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 522875.21
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1276066.91
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 39.04
line 3)
line 4)
line 5a)
line 5b)
R4U16P.WK4
J-169
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wai! Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.2
29.8
29.2
33.9
36.2
34.6
38.4
39.4
37.9
39.6
38.6
38.2
39.5
40.3
42.1
41.7
42.3
41.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.10
27.00
29.50
31.55
35.05
35.40
36.50
38.90
38.65
38.75
39.10
38.40
38.85
39.90
41.20
41.90
42.00
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234,65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15471.42
34353.36
37348.88
39746.07
43935.08
44151.38
45293.98
48027.80
47476.29
47355.65
47537.71
46445.38
46745.56
47758.25
49055.42
49625.62
49480.16
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
739808.03
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.90
11803.05
494547.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1234355.91
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.76
R4U16P.WK4
J-170
10/30/98
-------
line 1}
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORTC, USI 16ptAUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(1)
Axial vel.
V-d
ft/sec
25.4
28.5
30.0
33.4
36.5
37.0
38.2
39.9
38.4
40.0
38.8
39.2
41.2
41.6
41.2
41.5
42.2
41.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.70
26.95
29.25
31.70
34.95
36.75
37.60
39.05
39.15
39.20
39.40
39.00
40.20
41.40
41.40
41.35
41.85
Intern
calcu
pi(r-d+1)A2
130741,00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
16238.60
34289.75
37032.36
39935.04
43809.73
45835.12
46659.00
48213.00
48090.47
47905.59
47902.45
47171.09
48369.92
49553.68
49293.55
48974.21
49303.45
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
748577.01
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.70
11803.05
492187.27
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1240764.28
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.96
R4U16P.WK4
J-171
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT A, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.4
27.8
31.9
33.8
36.6
36.8
40.4
39.8
40.2
40.3
39.3
40.7
40.3
41.2
41.5
42.0
42.7
42.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.70
25.60
29.85
32.85
35.20
36.70
38.60
40.10
40.00
40.25
39.80
40.00
40.50
40.75
41.35
41.75
42.35
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
iations
_j)i(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14959.97
32572.08
37792.00
41383.79
44123.11
45772.76
47899.93
49509.38
49134.58
49188.78
48388.77
48380.60
48730.89
48775.66
49234.02
49447.96
49892.50
(use d=18 for drem)
line 3) Total near-wall volumetric flow (total of column G)
755186.77
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.70
11803.05
503990.32
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1259177.1
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.52
R4Y16P.WK4
10/30/98
J-172
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 4
PORT B, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.8
30.5
31.1
31.9
34.3
34.9
37.5
38.5
36.6
37.9
37.9
38.0
39.2
39.3
40.7
41.4
42.6
42.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.90
27.15
30.80
31.50
33.10
34.60
36.20
38.00
37.55
37.25
37.90
37.95
38.60
39.25
40.00
41.05
42.00
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15215.70
34544.22
38994.76
39683.09
41490.76
43153.61
44921.70
46916.62
46125.09
45522.53
46078.75
45901.10
46444.75
46980.24
47626.62
48618.89
49480.16
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
727698.58
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.30
11803.05
499269.10
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1226967.68
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.54
R4Y16P.WK4
J-173
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wail Effects Run 4
PORT C, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d- 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.4
27.6
30.8
32.5
35.4
36.4
39.1
39.5
37.9
37.3
38.6
39.9
38.8
40.4
40.5
42.5
42.9
41.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.70
25.50
29.20
31.65
33.95
35.90
37.75
39.30
38,70
37.60
37.95
39.25
39.35
39.60
40.45
41.50
42.70
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06.
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14959.97
32444.84
36969.06
39872.05
42556.23
44774.99
46845.14
48521.66
47537.71
45950.26
46139.54
47473.47
47347.17
47399.17
48162.42
49151.87
50304.83
line 3)
(use d=18 for drem)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
Total near-wall volumetric flow (total of column G)
736410.39
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.90
11803.05
494547.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1230958.27
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.66
R4Y16P.WK4
J-174
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT A, USI 16ptAUTOPROBE, STANDARD
Stack Area: 130,741,0 sq. in.
radius: 204 in
P'-
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d- 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
tf- 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.5
28.0
29.1
32.7
34.7
35.1
36.6
37.7
37.8
38.5
38.2
38.7
40.7
40.0
42.8
42.5
43.4
43.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
.11.75
25.75
28.55
30.90
33.70
34.90
35.85
37.15
37.75
38.15
38.35
38.45
39.70
40.35
41.40
42.65
42.95
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15023.90
32762.93
36146.12
38927.22
42242.86
43527.77
44487.37
45867.16
46370.76
46622.41
46625.86
46505.85
47768.31
48296.88
49293.55
50513.91
50599.36
line 3)
(use d=18 for drem)
line 4)
Total near-wall volumetric flow (total of column G)
731582.22
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.90
11803.05
518153.99
Wall-effect adjusted velocity In the Method 1 near-wall equal area segment
lineSa) a) Add the values on lines 3 and 4. 1249736.21
line 5b) b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.24
R8U16P.WK4
J-175
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
^JB)
Axial vel.
V-d
ft/sec
22.4
26.5
29.7
30.1
33.6
33.7
36.2
35.9
35.3
37.7
37.0
38.4
39.1
38.2
40.2
42.4
41.9
42.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.20
24.45
28.10
29.90
31.85
33.65
34.95
36.05
35.60
36.50
37.35
37.70
38.75
38.65
39.20
41.30
42.15
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190,02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14320.66
31108.88
35576.39
37667.44
39923.89
41968.76
43370.54
44509.05
43729.78
44605.97
45410.06
45598.72
46625.23
46262.07
46674.09
48914.99
49656.88
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
705923.38
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.80
11803.05
505170.63
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1211094.01
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.05
R8U16P.WK4
J-176
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORTC, USI 16ptAUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
22.5
26.8
30.4
31.9
32.7
34.4
34.7
37.5
36.9
38.7
40.4
38.2
39.4
39.0
42.4
42.1
43.5
43.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.65
28.60
31.15
32.30
33.55
34.55
36.10
37.20
37.80
39.55
39.30
38.80
39.20
40.70
42.25
42.80
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(coi C X F)
14384.59
31363.35
36209.42
39242.16
40487.96
41844.03
42874.16
44570.78
45695.16
46194.68
48084.82
47533.94
46685.40
46920.39
48460.09
50040.15
50422.64
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
721013.73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.10
11803.05
508711.54
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1229725.28
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.62
R8U16P.WK4
J-I77
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT A, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
ฎ ,
Axial vel.
V-d
ft/sec
22.1
27.9
30.3
32.3
33.5
34.6
36.4
37.0
37.0
39.1
39.6
39.1
39.3
41.7
41.1
43.3
43.3
43.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.05
25.00
29.10
31.30
32.90
34.05
35.50
36.70
37.00
38.05
39.35
39.35
39.20
40.50
41.40
42.20
43.30
Intermediate
calculations
pi(r-d+1)A2| pi(r-d)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14128.86
31808.67
36842.45
39431.13
41240.06
42467.64
44053.05
45311.57
45449.49
46500.20
47841.66
47594.42
47166.69
48476.42
49293.55
49980.93
51011.69
line 3)
(use d=18 for drem)
728598.49]
Total near-wail volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4-pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.60
11803.05
514613.07
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1243211.56
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.04
R8Y16P.WK4
J-I78
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT B, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
JAT
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
22.8
26.3
28.9
30.8
33.1
33.1
35.3
34.9
35.5
34.8
38.8
38.1
37.1
39.7
40.6
43.6
42.9
42.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.40
24.55
27.60
29.85
31.95
33.10
34.20
35.10
35.20
35.15
36.80
38.45
37.60
38.40
40.15
42.10
43.25
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
. (col C X F)
14576.38
31236.12
34943.36
37604.45
40049.24
41282.79
42439.84
43336.14
43238.43
42956.16
44741.37
46505.85
45241.52
45962.83
47805.22
49862.50
50952.79
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
702734.98
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.70
11803.05
503990.32
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1206725.3
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 36.92
R8Y16P.WK4
J-179
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 8
PORT C, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
21.9
27.0
28.1
31.2
31.6
34.2
34.2
36.0
36.0
37.8
38.8
38.5
39.7
39.7
41.6
42.9
43.4
43.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.95
24.45
27.55
29.65
31.40
32.90
34.20
35.10
36.00
36.90
38.30
38.65
39.10
39.70
40.65
42.25
43.15
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14001.00
31108.88
34880.05
37352.49
39359.82
41033.34
42439.84
43336.14
44221.13
45094.80
46565.07
46747.76
47046.37
47518.86
48400.55
50040.15
50834.98
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
709981.23
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.70
11803.05
515793.37
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 122S774.6
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.50
R8Y16P.WK4
J-180
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq, in.
radius; 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.5
29.8
33.7
33.7
36.1
36.7
39.6
40.2
39.5
39.4
39.2
39.6
40.4
40.9
42.1
42.0
43.1
41.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.25
27.15
31.75
33.70
34.90
36.40
38.15
39.90
39.85
39.45
39.30
39.40
40.00
40.65
41.50
42.05
42.55
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15663.22
34544.22
40197.52
42454.60
43747.06
45398.59
47341.52
49262.45
48950.33
48211.11
47780.87
47654.89
48129.27
48655.96
49412.62
49803.28
50128.12
(use d=18 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
757335.63
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41,20
11803.05
486285.74
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1243621.37
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.05
R11U16P.WK4
J-181
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
PI
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.5
28.4
31.8
32.3
34.1
35.1
38.0
37.9
39.7
39.6
37.1
38.5
38.7
40.0
40.2
40.5
40.4
41.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.75
25.95
30.10
32.05
33.20
34.60
36.55
37.95
38.80
39.65
38.35
37.80
38.60
39.35
40.10
40.35
40.45
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15023.90
33017.40
38108.52
40375.96
41616.11
43153.61
45356.03
46854.88
47660.55
48455.53
46625.86
45719.67
46444.75
47099.93
47745.69
47789.83
47654.11
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
728702.32
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.10
11803.05
485105.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1213807.76
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.14
R11U16P.WK4
J-182
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT C, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.8
29.3
31.4
34.4
35.4
36.5
37.1
39.6
38.5
38.9
37.9
38.9
39.3
39.7
41.1
41.0
41.0
44.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.90
26.55
30.35
32.90
34.90
35.95
36.80
38.35
39.05
38.70
38.40
38.40
39.10
39.50
40.40
41.05
41.00
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15215.70
33780.81
38425.03
41446.78
43747.06
44837.35
45666.26
47348.74
47967.64
47294.55
46686.65
46445.38
47046.37
47279.47
48102.89
48618.89
48302.06
(use d=18 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
44.10
11803.05
area segment
738211.62
520514.60
1258726.22
38.51
R11U16P.WK4
J-183
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT A, US116pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.3
29.4
31.1
35.7
37.1
34.3
39.3
41.4
39.1
39.7
38.9
40.9
40.7
40.6
41.6
40.6
41.4
42.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.65
26.35
30.25
33.40
36.40
35.70
36.80
40.35
40.25
39.40
39.30
39.90
40.80
40.65
41.10
41.10
41.00
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D -E}_
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222,08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14896.04
33526.34
38298.43
42076.67
45627.30
44525.54
45666.26
49818.04
49441.67
48150.01
47780.87
48259.65
49091.86
48655.96
48936.35
48678.11
48302.06
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
751731.17
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.00
11803.05
495728.19
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1247459.36
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.17
R11Y16P.WK4
J-184
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT B, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.1
28.5
29.8
30.4
33.5
35.1
38.3
38.9
37.4
40.2
36.5
38.2
38.7
40.0
40.7
39.2
40.7
41.5
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
12.05
26.30
29.15
30.10
31.95
34.30
36.70
38.60
38.15
38.80
38.35
37.35
38.45
39.35
40.35
39.95
39.95
Intern
calcu
JPlM+l)^
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(colD-.E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15407.49
33462.72
36905.76
37919.39
40049.24
42779.44
45542.17
47657.40
46862.11
47416.76
46625.86
45175.39
46264.27
47099.93
48043.35
47316.07
47065.06
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
721592.42
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
41.50
11803.05
489826.66
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1211419.08
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.06
R11Y16P.WK4
J-185
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Run 11
PORT C, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.1
28.0
31.4
33.1
35.1
35.5
37.5
40.6
40.0
39.8
39.2
39,2
40.0
40.5
42.7
39.3
41.9
41.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.55
25.55
29.70
32.25
34.10
35.30
36.50
39.05
40.30
39.90
39.50
39.20
39.60
40.25
41.60
41.00
40.60
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14768.18
32508.46
37602.09
40627.92
42744.26
44026.66
45293.98
48213.00
49503.09
48761.05
48024.03
47412.99
47647.98
48177.18
49531.69
48559.68
47830.83
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
741233.05
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 41 .70
line 4)
line 5a)
line 5b)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
11803.05
Multiply a) by b)
492187.27
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
1233420.32
37.74
R11Y16P.WK4
10/30/98
J-186
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 1
PORT A, US116pt AUTOPROBE, STANDARD
Stack Area; 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
ฎ -,
Axial vel.
V-d
ft/see
25.6
29.3
33.2
35.3
36.6
36.5
39.0
40.2
40.6
41.5
40.4
41.4
42.2
42.2
43.8
41.7
46.1
44.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.80
27.45
31.25
34.25
35.95
36.55
37.75
39.60
40.40
41.05
40.95
40.90
41.80
42.20
43.00
42.75
43.90
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
Vol. flow
in segment
(col C X F)
1 6366.46 \
34925.92
1266.06 39564.49
1259.78 43147.48
1253.50 45063.23
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
45585.68
46845.14
48892.05
49625.93
50166.44
49786.94
49469.17
50295.09
50511.23
51198.62
50632.34
51718.55
I
(use d=18 for drem)
Total near-wall volumetric flow (total of column G) 773794.77
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 44.90
b) Total area in remainder segment 1 1 803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 529957.04
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 3)
line 4)
line 5a)l a) Add the values on lines 3 and 4.
line 5b)| b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
1303751.81
39.89
NITRUN1U.WK4
J-187
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 1
PORT B, US! 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
25.1
28.7
30.3
34.9
34.9
35.9
37.8
39.1
40.0
41.6
39.9
40.1
41.7
41.5
41.2
42.3
44.2
43.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.55
26.90
29.50
32.60
34.90
35.40
36.85
38.45
39.55
40.80
40.75
40.00
40.90
41.60
41.35
41.75
43.25
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608,90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
16046.81
34226.13
37348.88
41068.84
43747.06
44151.38
45728.31
47472.21
48581.82
49860.92
49543.78
48380.60
49212.18
49793.07
49234.02
49447.96
50952.79
line 3)
(use d=18 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
754796.74
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.90
11803.05
518153.99
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1272950.73
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.95
NITRUN1U.WK4
10/30/98
J-188
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 1
PORTC, USI 16ptAUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
_^J!L_
Axial vel.
V-d
ft/sec
23.7
29.5
30.5
34.5
35.3
36.5
37.4
39.5
39.5
40.5
41.3
41.4
42.2
42.0
42.5
43.1
43.6
43.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.85
26.60
30.00
32.50
34.90
35.90
36.95
38.45
39.50
40.00
40.90
41.35
41.80
42.10
42.25
42.80
43.35
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15151.77
33844.43
37981.91
40942.87
43747.06
44774.99
45852.40
47472.21
48520.40
48883.26
49726.15
50013.45
50295.09
50391.54
50305.62
50691.56
51070.60
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
759665.28
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.40
11803.05
512252.46
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1271917.74
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.91
NITRUN1U.WK4
J-189
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 1
PORT A, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
25.6
30.6
30.2
34.1
36.1
36.7
37.0
40.1
41.1
38.9
40.5
39.9
40.7
42.4
43.1
43.6
45.9
43.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.80
28.10
30.40
32.15
35.10
36.40
36.85
38.55
40.60
40.00
39.70
40.20
40.30
41.55
42.75
43.35
44.75
Intermediate
calculations
pi(r-d+1)A2| pi(r-d)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
I
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
16366.46
35752.95
38488.34
40501.94
43997.76
45398.59
45728.31
47595.67
49871,60
48883.26
48267.19
48622.50
48490.24
49733.22
50900.95
51342.97
52719.94
line 3)
(use d^lS for drem)
Total near-wall volumetric flow (total of column G)
762661.89!
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
43.10
11803.05
508711.54
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1271373.43
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.90
NITRUN1Y.WK4
J-190
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 1
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.3
29.2
30.7
34.2
34.5
35.6
37.6
38.3
38.1
40.2
40.1
41.4
41.3
40.7
40.1
43.3
44.7
44.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.15
26.75
29.95
32.45
34.35
35.05
36.60
37.95
38.20
39.15
40.15
40.75
41.35
41.00
40.40
41.70
44.00
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15535.35
34035.28
37918.61
40879.88
43057.63
43714.86
45418.07
46854.88
46923.53
47844.49
48814.30
49287.74
49753.64
49074.90
48102.89
49388.74
51836.36
line 3)
line 4)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
748441.14
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
44.10
11803.05
520514.60
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 5a) a) Add the values on lines 3 and 4.
line 5b)| b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
1268955.73
38.82
NITRUN1Y.WK4
J-191
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 1
PORT C, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.8
28.6
31.5
34.2
35.0
33.6
38.6
40.4
40.1
41.9
40.4
39.8
41.6
42.7
43.1
43.3
45.9
44.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.40
26.70
30.05
32.85
34.60
34.30
36.10
39.50
40.25
41.00
41.15
40.10
40.70
42.15
42.90
43.20
44.60
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15855.01
33971.66
38045.21
41383.79
43371.01
42779.44
44797.61
48768.59
49441.67
50105.34
50030.10
48501.55
48971.54
50451.39
51079.55
51165.32
52543.22
(use d=18 for drem)
line 3) |Total near-wall volumetric flow (total of column G)
761262.00
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
44.50
11803.05
525235.82
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1286497.81
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 39.36
NITRUN1Y.WK4
J-192
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 2
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= . 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22,6
(B)
Axial vel.
V-d
ft/sec
26.3
29.4
31.6
34.5
36.6
36.2
37.9
40.4
40.5
41.1
42.1
40.9
42.8
43.3
42.7
44.3
44.4
44.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.15
27.85
30.50
33.05
35.55
36.40
37.05
39.15
40.45
40.80
41.60
41.50
41.85
43.05
43.00
43.50
44.35
Intern
calcu
pi(r-d+1ฃ2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
16813.98
35434.86
38614.94
41635.75
44561 .83
45398.59
45976.49
48336.46
49687.35
49860.92
50577.21
50194.87
50355.25
51528.64
51198.62
51520.63
52248.70
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
773945.09
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
44.30
11803.05
522875.21
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1296820.3
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 39.68
NITRUN2U.WK4
J-193
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 2
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(!)
Axial vel.
V-d
ft/sec
24.5
29.2
30.2
33.6
36.1
36.4
36.3
38.6
39.4
40.3
41.6
41.7
42.8
41.5
42.6
42.4
44.7
43.5
(use d=18 for drem)
(C) (D) (E) (F) (G) |
Decay vel.
avg of d, d-1
12.25
26.85
29.70
31.90
34.85
36.25
36.35
37.45
39.00
39.85
40.95
41.65
42.25
42.15
42.05
42.50
43.55
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
nediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(coi D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15663.22
34162.51
37602.09
40187.00
43684,38
45211.51
45107.84
46237.56
47906.22
48699.94
49786.94
50376.30
50836.55
50451.39
50067.48
50336.25
51306.22
'
Total near-wall volumetric flow (total of column G) 757623.40 !
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 43.50
b) Total area in remainder segment 1 1 803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 513432.76
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 271 056.1 6
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.89
line 3)
line 4)
line 5a)
line 5b)
NITRUN2U.WK4
J-194
10/30/98
-------
fine 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 2
PORT C, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.5
28.7
30.6
33.6
36.1
35.9
37.8
38.7
39.3
39.6
42.2
42.2
43.0
42.3
43.5
42.2
44.2
43.5
(C) (D) (E) (F) (G)
Decay vel,
avg of d, d-1
12.25
26.60
29.65
32.10
34.85
36.00
36.85
38.25
39.00
39.45
40.90
42.20
42.60
42.65
42.90
42.85
43.20
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15663.22
33844.43
37538.79
40438.95
43684.38
44899.71
45728.31
47225.28
47906.22
48211.11
49726.15
51041.53
51257.68
51049.86
51079.55
50750.78
50893.88
(used=18fordrem)
Total near-wall volumetric flow (total of column G) 760939.82
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 43.50
b) Total area in remainder segment 1 1803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 513432.76
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1274372.59
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.99
line 3)
line 4)
line 5a)
line 5b)
NITRUN2U.WK4
J-195
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 2
PORT A, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel,
V-d
ft/sec
24.6
28.7
32.2
34.2
36.4
39.1
38.0
38.3
39.5
39.2
42.6
42.6
42.7
42.9
43.4
44.9
44.1
45.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.30
26.65
30.45
33.20
35.30
37.75
38.55
38.15
38.90
39.35
40.90
42.60
42.65
42.80
43.15
44.15
44.50
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15727.15
33908.04
38551.64
41824.71
44248.45
47082.33
47837.89
47101.81
47783.38
48088.90
49726.15
51525.34
51317.84
51229.40
51377.22
52290.48
52425.41
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
772046.16
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
45.30
11803,05
534678.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1306724.41
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 39.98
NITRUN2Y.WK4
J-196
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 2
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.8
28.2
30.1
31.4
36.1
36.4
36.6
37.1
37.9
39.4
40.5
41.6
41.0
42.3
419
44.3
42.7
42.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.90
26.00
29.15
30.75
33.75
36.25
36.50
36.85
37.50
38.65
39.95
41.05
41.30
41.65
42.10
43.10
43.50
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
Area of
segment
(col D - E)
129462.37 1278.63
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
!
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15215.70
33081.02
36905.76
38738.25
42305.53
45211.51
45293.98
45496.77
46063.67
47233.45
48571.14
49650.59
49693.48
49852.91
50127.02
51046.88
51247.31
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
745734.96
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
42.90
11803.05
Multiply a) by b)
506350.93
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1252085.9
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.31
NITRUN2Y.WK4
J-197
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 2
PORT C, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.7
28.7
30.7
32.6
34.1
35.4
37.7
39.0
39.3
41.1
41.7
42.1
43.9
44.5
41.8
43.2
44.0
44.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.85
26.20
29.70
31.65
33.35
34.75
36.55
38.35
39.15
40.20
41.40
41.90
43.00
44.20
43.15
42.50
43.60
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
1 14608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15151.77
33335.49
37602.09
39872.05
41804.14
43340.69
45356.03
47348.74
48090.47
49127.67
50334.05
50678.68
51738.97
52905.13
51377.22
50336.25
51365.12
line 3)
(used=18fordrem)
Total near-wall volumetric flow (total of column G)
759764.55
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
44.50
11803.05
525235.82
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1285000.37
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 39.31
NITRUN2Y.WK4
J-198
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 3
PORT A, USl 16ptAUTOPROBE, STANDARD
Stack Area: 130,741.0 sq, in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
. d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d- 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
24.1
27.7
31.1
32.4
34.2
35.5
36.9
37.2
38.6
39.7
42.6
41.1
40.9
43.5
43.6
43.6
44.2
45.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.05
25.90
29.40
31.75
33.30
34.85
36.20
37.05
37.90
39.15
41.15
41.85
41.00
42.20
43.55
43.60
43.90
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
I
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
15407.49
32953.78
37222.27
39998.03
41741.46
43465.41
44921.70
45743.70
46555.02
47844.49
50030.10
50618.20
49332.51
50511.23
51853.48
51639.07
51718.55
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
area segment
45.40
11803.05
area segment
751556.50
535858.56
1287415.06
line 3)
line 4)
line 5a)
line 5b)
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
39.39
NITRUN3U.WK4
J-199
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 3
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.3
28.3
29.8
31.7
33.2
33.0
35.2
36.2
37.2
39.5
40.7
42.4
41.7
42.2
42.3
43.1
43.0
44.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.65
25.80
29.05
30.75
32.45
33.10
34.10
35.70
36.70
38.35
40.10
41.55
42.05
41.95
42.25
42.70
43.05
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14896.04
32826.55
36779.15
38738.25
40675.99
41282.79
42315.75
44076.93
45080.98
46866.82
48753.51
50255.35
50595.90
50212.00
50305.62
50573.13
50717.17
line 3)
(use d=18 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
734951.90
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
44.20
11803.05
521694.90
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1256646.8
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.45
NITRUN3U.WK4
J-200
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 3
PORTC, USI 16ptAUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
23.3
26.9
29.5
30.9
32.2
33.6
35.0
37.3
37.3
40.7
40.9
41.9
43.2
42.7
43.2
42.7
44.2
44.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.65
25.10
28.20
30.20
31.55
32.90
34.30
36.15
37.30
39.00
40.80
41.40
42.55
42.95
42.95
42,95
43.45
Intern
calcu
^pjfcd+1)^
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14896.04
31935.91
35703.00
38045.37
39547.84
41033.34
42563.93
44632.52
45818.00
47661.17
49604.57
50073.92
51197.52
51408.95
51139.08
50869.22
51188.41
(use d=18 for drem)
line 3) [Total near-wall volumetric flow (total of column G)
737318.78
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
44.30
11803.05
522875.21
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1260193.99
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.56
NITRUN3U.WK4
J-201
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 3
PORT A, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
22.8
27.4
30.5
31.5
34.6
35.6
36.1
36.3
38.0
40.6
41.0
42.9
42.7
41.1
43.2
41.6
43.9
44.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.40
25.10
28.95
31,00
33.05
35.10
35.85
36.20
37.15
39.30
40.80
41.95
42.80
41.90
42,15
42.40
42.75
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14576.38
31935.91
36652.54
39053.20
41428.09
43777.22
44487.37
44694.25
45633.74
48027.80
49604.57
50739.16
51498.32
50152.15
50186.55
50217.81
50363.74
(used=18fordrem)
Total near-wall volumetric flow (total of column G) 743028.79
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 44.50
b) Total area in remainder segment 1 1 803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 525235.82
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1268264.61
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.80
line 3)
line 4)
line 5a)
line 5b)
NITRUN3Y.WK4
J-202
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 3
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
_ฃ)
Axial vel.
V-d
ft/see
23.5
26.8
30.1
30.6
32.9
32.6
34.2
34.9
37.9
37.8
41.1
39.4
40.9
42.4
41.7
43.6
42.7
42.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.75
25.15
28.45
30.35
31.75
32.75
33.40
34.55
36.40
37.85
39.45
40.25
40.15
41.65
42.05
42.65
43.15
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
I
Vol. flow
in segment
(col C X F)
15023.90
31999.52
36019.51
38234.34
39798.54
40846.26
41447.09
42657.08
44712.47
46255.78
47963.24
48682.98
48309.76
49852.91
50067.48
50513.91
50834.98
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
723219.76
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.30
11803.05
499269.10
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1222488.87
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 37.40
NITRUN3Y.WK4
J-203
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 3
PORT C, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
22.1
27.7
29.5
31.2
32.8
34.1
34.7
36.0
38.6
40.5
42.6
42.0
43.1
44.4
42.6
43.2
43.3
42.9
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
11.05
24.90
28.60
30.35
32.00
33.45
34.40
35.35
37.30
39.55
41.55
42.30
42.55
43.75
43.50
42.90
43.25
Intern
calcu
^pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
14128.86
31681.44
36209.42
38234.34
40111.91
41719.31
42688.02
43644.80
45818.00
48333.32
50516.42
51162.49
51197.52
52366.50
51793.95
50810.00
50952.79
(use d=18 for drem)
Total near-wall volumetric flow (total of column G) 741369.09
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 42.90
b) Total area in remainder segment 1 1 803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 506350.93
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 247720.02
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 38.17
line 3)
line 4)
line 5a)
line 5b)
NITRUN3Y.WK4
K204
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 4
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in,
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel,
V-d
ft/sec
19.7
23.6
25.9
28.3
27.8
28.9
31.7
33.4
31.6
33.1
31.6
33.5
35.4
34.5
36.6
37.1
36.7
37.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.85
21.65
24.75
27.10
28.05
28.35
30.30
32.55
32.50
32.35
32.35
32.55
34.45
34.95
35.55
36.85
36.90
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
12594.51
27546.31
31335.08
34140.05
35160.60
35358.52
37600.21
40187.78
39921.85
39534.33
39331.07
39369.71
41451.34
41833.36
42328.16
43644.49
43471.86
(use d=18 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
37.30
11803.05
segment
624809.22
440253.84
1065063.07
32.59
NITRUN4U.WK4
10/30/98
J-205
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 4
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d- 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
19.9
22.7
25.4
26.6
28.9
30.0
30.7
30.8
31.2
32.3
32.2
33.1
33.4
35.3
34.6
36.5
36.7
37.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.95
21.30
24.05
26.00
27.75
29.45
30.35
30.75
31.00
31.75
32.25
32.65
33.25
34.35
34.95
35.55
36.60
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
12722.37
27100.99
30448.83
32754.29
34784.55
36730.46
37662.25
37965.42
38079.30
38801.08
39209.49
39490.67
40007.46
41115.19
41613.76
42104.79
43118.43
line 3)
(use d_-18 for drem)
Total near-wall volumetric flow (total of column G)
613709.33
line 4)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
37.00
11803.05
436712.93
line 5a)
line 5b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1050422.26
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 32.14
NITRUN4U.WK4
J-206
10/30/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
line 1)
line 2)
Wall Effects Overnight Run 4
PORTC, US! 16ptAUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
_@)
Axial vel.
V-d
ft/sec
19.1
22.4
25.7
27.0
28.7
29.5
31.3
32.5
32.0
32.2
32.6
33.1
34.2
35.4
36.5
37.2
36.9
.37.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.55
20.75
24.05
26.35
27.85
29.10
30.40
31.90
32.25
32.10
32.40
32.85
33.65
34.80
35.95
36.85
37.05
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
i
Vol. flow
in segment
(col C X F)
12210.92
2640120
30448.83
33195.22
34909.90
36293.93
37724.30
39385.26
39614.76
39228.81
39391.86
39732.57
40488.75
41653.81
42804.42
43644.49
43648.57
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 37. 1 0
b) Total area in remainder segment 1 1803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
620777.61
437893.23
1058670.84
line 3)
line 4)
line 5a)
line 5b)j
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
32.39
NITRUN4U.WK4
J-207
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wail Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 4
PORT A, USI 16ptAUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
19.3
22.9
26.0
28.0
28.8
29.0
31.8
33.1
31.9
32.4
33.1
33.9
35.3
36.1
35.8
36.2
36.5
37.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.65
21.10
24.45
27.00
28.40
28.90
30.40
32.45
32.50
32.15
32.75
33.50
34.60
35.70
35.95
36.00
36.35
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
12338.78
26846.52
30955.26
34014.07
35599.32
36044.49
37724.30
40064.32
39921.85
39289.92
39817.39
40518.75
41631.82
42731.07
42804.42
42637.76
42823.90
line 3)
(use d=18 for drem)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
Total near-wall volumetric flow (total of column G)
625763.96
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
37.10
11803.05
437893.23
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1063657.19
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 32.54
NITRUN4Y.WK4
J-208
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 4
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
_JB)
Axial vel.
V-d
ft/sec
20.0
23.0
26.0
28.5
26.8
28.8
29.9
30.9
29.9
31.5
31.2
33.1
34.8
35.3
35.6
36.1
36.1
36.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.00
21.50
24.50
27.25
27.65
27.80
29.35
30.40
30.40
30.70
31.35
32.15
33.95
35.05
35.45
35.85
36.10
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
12786.30
27355.46
31018.56
34329.02
34659.20
34672.55
36421.32
37533.29
37342.28
37517.90
38115.27
38885.91
40849.72
41953.05
42209.09
42460.11
42529.38
(use d=18 for drem)
Total near-wall volumetric flow (total of column G) 610638.42
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 36.70
b) Total area in remainder segment 11 803.05
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) " 433172.01
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1043810.43
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 31 .94
line 3)
line 4)
line 5a)
line 5b)
NITRUN4Y.WK4
J-209
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 4
PORT C, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
fi)
Axial vet.
V-d
ft/sec
20.2
23.3
25.6
27.1
27.8
30.0
30.9
31.6
31.4
32.1
32.0
33.5
35.0
36.5
37.0
36.4
36.8
35.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.10
21.75
24.45
26.35
27.45
28.90
30.45
31.25
31.50
31.75
32.05
32.75
34.25
35.75
36.75
36.70
36.60
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
12914.16
27673.54
30955.26
33195.22
34408.50
36044.49
37786.35
38582.74
38693.48
38801.08
38966.33
39611.62
41210.69
42790.92
43756.96
43466.83
43118.43
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
621976.60
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.70
11803.05
421368.96
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1043345.56
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 31.92
NITRUN4Y.WK4
J-210
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 5
PORT A, USI 16ptAUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
_Ji)
Axial vel.
V-d
ft/sec
13.5
17.3
18.5
21.2
23.0
23.2
24.9
25.7
24.9
25.0
28.9
27.4
29.5
27.1
29.2
29.6
31.1
30.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.75
15.40
17.90
19.85
22.10
23.10
24.05
25.30
25.30
24.95
26.95
28.15
28.45
28.30
28.15
29.40
30.35
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
8630.75
19594.14
22662.54
25006.64
27702.29
28810.65
29844.39
31236.59
31077.62
30490.93
32765.76
34047.85
34231.95
33873.65
33517.23
34820.84
35755.31
line 3}
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
494069.13
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
30.70
11803.05
362353.70
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 856422.832
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 26.20
NITRUN5U.WK4
J-211
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 5
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
14.9
14.9
17.0
19.1
20.3
21.7
23.3
23.7
25.4
24.9
25.5
27.4
26.9
27.0
26.4
27.2
28.7
29.1
30.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.45
15.95
18.05
19.70
21.00
22.50
23.50
24.55
25.15
25.20
26.45
27.15
26.95
26.70
26.80
27.95
28.90
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
Vol. flow
in segment
(co! C X F)
9525.79
20293.93
22852.45
24817.68
26323.44
28062.32
29161.88
30310.60
30893.37
30796.45
32157.86
32838.33
32427.10
31958.53
31909.84
33103.49
1178.10 34047.07
(use d=18 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
481480.12
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
30.40
11803.05
358812.78
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
840292.907
25.71
NITRUN5U.WK4
J-212
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 5
PORT C, USI 16pt AUTOPROBE, STANDARD
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
15.9
17.4
20.0
21.7
22.6
24.4
23.6
25.3
25.7
24.9
25.9
27.2
28.9
26.9
28.6
31.0
31.3
31.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.95
16.65
18.70
20.85
22.15
23.50
24.00
24.45
25.50
25.30
25.40
26.55
28.05
27.90
27.75
29.80
31.15
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
10165.11
21184.57
23675.39
26266.42
27764.97
29309.53
29782.34
30187.14
31323.30
30918.66
30881.27
32112.62
33750.65
33394.87
33040.97
35294.59
36697.79
(use d=18 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
31.40
11803.05
area segment
495750.20
370615.83
866366.037
26.51
NITRUN5U.WK4
J-213
10/30/98
-------
line 1}
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 5
PORT A, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius; 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
14.5
16.7
19.4
20.4
22.1
23.4
24.6
25.5
25.8
24.9
28.3
26.8
27.5
27.7
27.9
30.4
30.7
31.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.25
15.60
18.05
19.90
21.25
22.75
24.00
25.05
25.65
25.35
26.60
27.55
27.15
27.60
27.80
29.15
30.55
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
9270.07
19848.61
22852.45
25069.63
26636.82
28374.12
29782.34
30927.93
31507.55
30979.76
32340.23
33322.14
32667.75
33035.78
33100.50
34524.74
35990.93
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
490231.361
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
31.50
11803.05
371796.14
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 862027.498
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 26.37
NITRUN5Y.WK4
J-214
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wall Effects Overnight Run 5
PORT B, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741.0 sq. in.
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
(B)
Axial vel.
V-d
ft/sec
13.9
16.8
19.1
20.0
21.6
22.2
24.1
23.9
25.1
26.2
27.1
26.4
26.8
25.1
28.0
29.9
30.0
31.4
(C) (D) (E) (F) (G) \
Decay vel.
avg of d, d-1
6.95
15.35
17.95
19.55
20.80
21.90
23.15
24.00
24.50
25.65
26.65
26.75
26.60
25.95
26.55
28.95
29.95
Intern
calcu
pi(r-d+1)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
11702164
115812.13
114608.90
113411.95
112221.28
111036.90
lediate
lations
pi(r-d)A2
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
8886.48
19530.52
22725.84
24628.71
26072.74
27313.99
28727.55
29631.55
30094.93
31346.39
32401.02
32354.53
32005.97
31060.82
31612.17
34287.87
35284.07
line 3)
(use d=18 for drem)
477965.151
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
31.40
11803.05
370615.83
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 848580.983
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 25.96
NITRUN5Y.WK4
J-215
10/30/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Conesville Unit 5
Wai! Effects Overnight Run 5
PORT C, USI 16pt AUTOPROBE, YAW NULLED
Stack Area: 130,741,0 sq. in,
radius: 204 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 22.6
^_JB)
Axial vel.
V-d
ft/sec
14.4
16.8
18.4
20.2
22.2
23.1
24.8
25.6
25.4
26.0
26.4
27.6
27.8
27.4
27.6
28.2
31.3
32.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.20
15.60
17.60
19.30
21.20
22.65
23.95
25.20
25.50
25.70
26.20
27.00
27.70
27.60
27.50
27.90
29.75
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
130741.00
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
129462.37
128190.02
126923.96
125664.18
124410.68
123163.47
121922.54
120687.89
119459.52
118237.44
117021.64
115812.13
114608.90
113411.95
112221.28
111036.90
109858.80
Area of
segment
(col D - E)
1278.63
1272.35
1266.06
1259.78
1253.50
1247.21
1240.93
1234.65
1228.36
1222.08
1215.80
1209.52
1203.23
1196.95
1190.67
1184.38
1178.10
Vol. flow
in segment
(col C X F)
9206.14
19848.61
22282.72
24313.76
26574.14
28249.40
29720.30
31113.12
31323.30
31407.49
31853.91
32656.91
33329.52
33035.78
32743.30
33044.27
35048.45
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
485751.13
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
32.00
11803.05
377697.67
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 863448.792
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 26.42
NITRUN5Y.WK4
J-216
10/30/98
-------
ATTACHMENT D,
Picway Station
Wall Effects Calculation Forms
J-217
-------
This Page Intentionally Left Blank
J-218
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 5
PORT A, USI 12ptAUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in,
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
^JB)
Axial vel.
V-d
ft/sec
18.7
22.6
25.6
27.1
29.9
32.9
31.7
32.9
34.1
32.5
35.4
33.2
34.8
36.8
36.2
36.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.35
20.65
24.10
26.35
28.50
31.40
32.30
32.30
33.50
33.30
33.95
34.30
34.00
35.00
36.50
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174,50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
5085.21
11101.21
12804.47
13834.35
14784.08
16091.13
16349.39
16146.45
16535.83
16227.88
16331.32
16284.17
15928.12
16176.68
16640.63
(use d=16 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
36.80
438.74
area segment
220320.92
16145.79
'
I
236466.706
29.79
RUN5U12P.WK4
J-219
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 5
PORT B, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
(A) (B)
Distance Axial vel.
from wall V-d
(inches) ft/sec
d= 1 27.0
d= 2 31.1
d= 3 33.5
d= 4 33.0
d= 5 35.9
d= 6 34.9
d= 7 33.9
d= 8 37.5
d= 9 35.7
d= 10 37.7
d= 1 1 36.5
d= 12 38.2
d= 13 37.7
d= 14 38.6
d= 15 38.5
drem 15.5 38.9
(use d=16 for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.50
29.05
32.30
33.25
34.45
35,40
34.40
35.70
36.60
36.70
37.10
37.35
37.95
38.15
38.10
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655,54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7342.28
15616.96
17161.18
17457.00
17870.58
18140.95
17412.36
17846.07
18066.01
17884.78
17846.60
17732.18
17778.59
17632.58
17370.08
Total near-wall volumetric flow (total of column G) 253158.21
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16 38.90
b) Total area in remainder segment 438.74
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 17067.15
"
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. " 270225.362
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 34.05
line 3)
line 4)
line 5a)
line 5b)
RUN5U12P.WK4
J-220
10/23/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wail Effects Run 5
PORTC, USI 12ptAUTOPROBE, STRAIGHT-UP
line 1)
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
line 2)
line 3)
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
^_J3)
Axial vel.
V-d
ft/sec
26.1
30.7
31.7
35.3
36.5
37.1
40.1
39.9
41.0
41.9
41.5
42.5
43.3
42.6
42.3
43.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.05,
28.40
31.20
33.50
35.90
36.80
38.60
40.00
40.45
41.45
41.70
42.00
42.90
42.95
42.80
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7097.53
15267.53
16576.74
17588.26
18622.75
18858.39
19538.28
19995.60
19966.40
20199.56
20059.39
19939.81
20097.54
19851.10
19512.85
(use d=16 for drem)
Total near-wall volumetric flow (total of column G) 2731 71 .73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16 43.10
b) Total area in remainder segment 438.74
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 18909.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 292081 .607
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 36.80
RUN5U12P.WK4
10/23/98
J-221
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 5
PORT D, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
line 1) radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
6.4
27.5
30.1
32.9
34.3
34.5
36.9
35.4
36.7
38.1
37.7
38.9
38.1
39.5
39.0
38.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
3.20
16.95
28.80
31.50
33.60
34.40
35.70
36.15
36.05
37.40
37.90
38.30
38.50
38.80
38.55
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174,50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
1740.39
9112.13
15301.61
16538.22
17429.65
17628.50
18070,38
18071.02
17794.53
18225.90
18231.43
18183.20
18036.25
17933.01
17575.24
line 2)
line 3)
(use d=16 for drem)
Total near-wall volumetric flow (total of column G)
239871.47
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
38.70
438.74
16979.40
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 256850.869
b) Divide line a) by 1/3*pl*rA2
This is the substitute velocity value, V. 32.36
RUN5U12P.WK4
J-222
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 5
PORT A, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vet.
V-d
ft/sec
17.2
22.4
25.0
27.0
29.3
30.3
30.8
31.7
32.1
33.7
36.4
33.6
36.2
34.5
34.2
36.0
(C) (D) (E) (F) (G) "
Decay vel.
avg of d, d-1
8.60
19.80
23.70
26.00
28.15
29.80
30.55
31.25
31.90
32.90
35.05
35.00
34.90
35.35
34.35
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
nediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
4677.30
10644.26
12591.95
13650.59
14602.52
15271.20
15463.59
15621.56
15746.06
16032.95
16860.47
16616.50
16349.75
16338.45
15660.43
line 3)
(use d=16 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
216127.57
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
36.00
438.74
15794.79
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 231922.365
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 29.22
RUN5Y12P.WK4
J-223
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 5
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
27.4
29.1
31.9
33.2
35.6
34.7
35.1
36.6
38.9
37.4
36.0
38.4
37.4
37.4
37.7
38.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.70
28.25
30.50
32.55
34.40
35.15
34.90
35.85
37.75
38.15
36.70
37.20
37.90
37.40
37.55
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7451.05
15186.89
16204.83
17089.49
17844.64
18012.84
17665.44
17921.06
18633.66
18591.40
17654.18
17660.97
17755,17
17285.94
17119.33
line 3)
(use d=16 for drem)
Total near-wall volumetric flow (total of column G)
252076.89
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
38.50
438.74
16891.65
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 268968.541
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 33.8i
RUN5Y12P.WK4
10/23/98
J-224
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 5
PORT C, US! 12pt AUTOPROBE, YAW-NULLED
line 1)
line 2)
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
xi= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
26.2
30.7
33.2
34.5
37.4
35.7
40.1
40.3
41.5
41.1
42.0
41.7
42.9
42.6
43.4
42.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.10
28.45
31.95
33,85
35.95
36.55
37.90
40.20
40.90
41.30
41.55
41.85
42.30
42.75
43.00
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7124,73
15294.41
16975.22
17772.02
18648.69
18730.28
19183.96
20095.58
20188.52
20126.47
19987.23
19868.59
19816.45
19758.66
19604.03
(use d=16 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
.
area segment
42.00
438.74
area segment
273174.83
18427.26
291602.092
36.74
RUN5Y12P.WK4
J-225
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 5
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
5,4
27.1
31.3
33.7
34.2
35.0
36.3
37.0
38.4
37.4
37.2
36.5
38.9
37.2
38.0
39.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.70
16.25
29.20
32.50
33.95
34.60
35.65
36.65
37.70
37.90
37.30
36.85
37.70
38.05
37.60
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
1468.46
8735.82
15514.13
17063.24
17611.21
17730.99
18045.07
18320.97
18608.98
18469.57
17942.81
17494.81
17661.47
17586.36
17142.13
(use d=16 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
39.10
438.74
area segment
239396.01
17154.90
256550.906
32.32
RUN5Y12P.WK4
J-226
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORT A, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811,5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
17.4
21.5
24.1
26.8
28.6
28.4
32.0
31.7
33.7
34.1
35.1
34.7
34.7
36.5
35.6
36.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.70
19.45
22.80
25.45
27.70
28.50
30.20
31.85
32.70
33.90
34.60
34.90
34.70
35.60
36.05
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
23811.52
23267.65
22730.06
22198,75
21673.73
21154.99
20642.53
20136,36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
4731.69
10456.11
12113.77
13361.83
14369.08
14605.01
15286.43
15921.50
16140.94
16520.27
16644.00
16569.03
16256.05
16454.00
16435.47
line 3)
(use d=16 for drem)
Total near-wall volumetric flow (total of column G)
215865.171
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
36.10
438.74
15838.67
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 231703.841
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 29.19
I
RUN8U12P.WK4
J-227
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORT B, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq, in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
28.9
32.0
32.2
33.9
34.3
35.7
35.1
36.8
38.5
36.1
37.9
38.3
38.0
37.6
37.2
37.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
14.45
30.45
32.10
33.05
34.10
35.00
35.40
35.95
37.65
37.30
37.00
38.10
38.15
37.80
37.40
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7858.95
16369.59
17054.92
17352.00
17689.02
17935.97
17918.53
17971,04
18584.30
18177.17
17798.50
18088.25
17872.29
17470.82
17050.95
(use d=16 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
37.70
438.74
area segment
255192.29
16540.66
271732.948
34.24
RUN8U12P.WK4
10/23/98
J-228
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORTC, USl 12ptAUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
24.2
30.1
33.0
35.2
36.4
37.5
38.9
39.3
40.0
40.9
42.3
40.9
43.4
42.6
42.3
42.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.10
27.15
31.55
34.10
35.80
36.95
38.20
39.10
39.65
40.45
41.60
41.60
42.15
43.00
42.45
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
6580.85
14595.54
16762.70
17903.27
18570.87
18935.26
19335.81
19545.70
19571.51
19712.24
20011.28
19749.90
19746.18
19874.21
19353.28
line 3)
(use d=16fordrem)
Total near-wall volumetric flow (total of column G)
270248.63
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a} Axial velocity at drem fd=16 42.30
line 4)
line 5a)
line 5b)
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
438.74
18558.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 288807.512
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 36.39
RUN8U12P.WK4
J-229
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORT D, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
7.5
28.1
31.1
33.2
34.6
37.3
36.7
37.3
36.3
36.6
39.3
38.0
37.8
39.3
38.4
39.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
3.75
17.80
29.60
32.15
33.90
35.95
37.00
37.00
36.80
36.45
37.95
38.65
37.90
38.55
38.85
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198,75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
2039.52
9569.09
15726.65
16879.48
17585.27
18422,81
18728.41
18495.93
18164.73
17762.95
18255.48
18349.37
17755.17
17817.46
17712.02
line 3)
(use d=16 for drem)
Total near-wall volumetric flow (total of column G)
243264.32
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
39.50
438.74
17330.40
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 260594.72
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 32.83
RUN8U12P.WK4
J-230
10/23/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORT A, USl 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
line 1) radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
17.4
21.6
24,4
26.2
30.5
30.9
31.8
31.7
34.7
33.5
35.3
35.6
36.1
34.9
35.7
36.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.70
19.50
23.00
25.30
28.35
30.70
31.35
31.75
33.20
34.10
34.40
35.45
35.85
35.50
35.30
Intermediate
calculations
pi(r-d+1)A2| pi(r-d)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
4731.69
10482.99
12220.04
13283.07
14706.27
15732.41
15868.53
15871.51
16387.75
16617.74
16547.79
16830.14
16794.80
16407.78
16093.54
(use d= 16 for drem)
Total near-wall volumetric flow (total of column G) 218576.03 J
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16 36.40
b) Total area in remainder segment 438.74
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15970.29
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 234546.319
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 29.55
line 2)
line 3)
line 4)
line 5a)
line 5b)
RUN8Y12P.WK4
J-231
10/23/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area; 23,811.5 sq. in.
line 1) radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
27.0
31.1
32.6
34.3
34.7
34.1
36.8
37.2
36.3
36.8
37.6
37.1
37.4
39.3
36.8
38.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.50
29.05
31.85
33.45
34.50
34.40
35.45
37.00
36.75
36.55
37.20
37.35
37.25
38.35
38.05
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
.23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7342.28
15616.96
16922.09
17562.01
17896.51
17628.50
17943.84
18495.93
18140.05
17811.68
17894.70
17732.18
17450.66
17725.02
17347.29
(use d=16 for drem)
Total near-wall volumetric flow (total of column G) 253509.70
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16 38.20
b) Total area in remainder segment 438.74
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16760.03
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4: 270269.734
b) Divide line a) by 1/3*pi*rA2
I This is the substitute velocity value, V. 34.05
line 2)
line 3)
line 4)
line 5a)
line 5b)
RUN8Y12P.WK4
10/23/98
J-232
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORTC, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811,5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
24.9 ,
31.2
33.1
35.2
35.5
37.5
39.6
39.6
40.3
41.7
40.4
41.6
42.1
41.9
42.2
42.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.45
28.05
32.15
34.15
35.35
36.50
38.55
39.60
39.95
4100
41.05
41.00
41.85
42.00
42.05
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
6771.21
15079.37
17081,48
17929.53
18337.44
18704.66
19512.98
19795.64
19719.59
19980.27
19746.71
19465.05
19605.64
19412.02
19170.92
(use d=16 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
segment
42.40
438.74
segment
270312.51
18602.76
288915.261
36.40
RUN8Y12P.WK4
J-233
10/23/98
-------
line 1)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area:
radius:
54,739.1 sq. in.
132 in
pi
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
| d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
19.1
20.6
22.1
24.2
25.5
25.1
25.6
24.3
30.5
31.5
32.5
32.7
33.4
32.5
33,4
33.1
33.5
33.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.55
19.85
21.35
23.15
24.85
25.30
25.35
24.95
27.40
31.00
32.00
32.60
33.05
32.95
32.95
33.25
33.30
Intermediate
calculations
pi(r-d+1)A2
54739,11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
Vol. flow
in segment
(col C X F)
7890.58
16276.11
17371.90 i
18691.05
19907,48
20109.01
19989.47
19517.29
21261.66
23860.39
24429.01
24682.23
24815.27
744.56 24533.16
738.27
24326.13
731.99
725.71
24338.69
24166.06
L
(used=18fordrem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G) 3561 65.52
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 33.10
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
167308.76
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 523474.275
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 28.69
R2U12WALWK4
J-277
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORTB, USI 12ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
line 2)
_^JA)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
tfsr 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d=r -i 4
d= 15
d= 16
d= 17
drem 20.5
_ฃ)
Axial vel.
V-d
ft/sec
18.9
20.5
22.5
25.7
26.1
27.0
26.4
26.0
32.8
33.7
33.0
32.9
34.5
34.4
34.0
33.7
35.1
34.6
(use d= 18 for drem}
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.45
19.70
21.50
24.10
25.90
26.55
26.70
26.20
29.40
33.25
33.35
32.95
33.70
34.45
34.20
33.85
34.40
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471,86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547,57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
|
Vol. flow
in segment
(col C X F)
7807.95
16153.12
17493.95
19458.07
20748.64
21102.54
21054.00
20495.11
22813.61
25592.19
25459.61
24947,22
25303.32
25649.99
25248.97
24777.89
24964.34
Total near-wall volumetric flow (total of column G) 369070.55
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 34.60
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 174890.72
line 3)
line 4)
line 5a)
line 5b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 543961.272
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 29.81
R2U12WAL.WK4
J-278
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT C, USI 12pt AUTOPROBE, STANDARD
Stack Area:
radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel,
V-d
ft/sec
20.2
22.2
24.2
27.2
26.6
26.3
27.1
26.5
33.1
33.6
34.6
34.9
34.5
34.4
35.8
35.9
35.5
35.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.10
21.20
23.20
25.70
26.90
26.45
26.70
26.80
29.80
33.35
34.10
34.75
34.70
34.45
35.10
35.85
35.70
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
8345.01
17383.05
18877.19
20749.90
21549.75
21023.06
21054.00
20964.47
23124.00
25669.16
26032.17
26310.04
26054.16
25649.99
25913.42
26241.87
25907.76
line 3)
(use d-18 for drem)
Total near-wall volumetric flow (total of column G)
380849.00
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.60
5054.65
179945.37
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 560794.371
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 30.73
R2U12WAL.WK4
J-279
11/02/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORTD, USI 12ptAUTOPROBE, STANDARD
Stack Area:
line 1) radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d*"*
- ฃ.
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
17.6
20.5
22.1
25.0
25.4
24.7
24.8
24.1
32.1
31.9
32.9
32.3
32.7
33.4
33.6
33.5
33.2
33.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.80
19.05
21.30
23.55
25.20
25.05
24.75
24.45
28.10
32.00
32.40
32.60
32.50
33.05
33.50
33.55
33.35
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(colD-E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
7270.90
15620.15
17331.22
19014.01
20187.87
19910.31
19516.35
19126.17
21804.84
24630.08
24734.38
24682.23
24402.31
24607.61
24732.18
24558.29
24202.35
(use d=18 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
33.40
5054.65
area segment
356331.24
168825.15
525156.387
28.78
R2U12WAL.WK4
J-280
11/D2/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT A, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq. in.
radius: 132 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
19.2
21.1
21.8
24.5
24.4
24.3
24.8
25.0
31.6
32.4
32.1
31.8
33.5
32.3
32.7
33.3
32.9
33.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.60
20.15
21.45
23.15
24.45
24.35
24.55
24.90
28.30
32.00
32.25
31.95
32.65
32.90
32.50
33.00
33.10
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
826.24 I 7931.89
819.96 16522.10
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
17453.27
18691.05
19587.04
19353.93
19358,64
19478.18
21960.04
24630.08
24619.87'
24190.10
24514.94
24495.93
23993.90
24155.70
24020.92
(use d=18fordrem)
Total near-wall volumetric flow (total of column G) 354957,58
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 33.00
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 166803.29
line 3)
line 4)
| ฅ VCtll Wl IWWI. aV4JM*3i.WtJ VWIWWIVJ III M I%M* lฅ 1*^1,1 t\J\A I 1
line 5a)| a) Add the values on lines 3 and 4.
line 5b)] b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
'i
i21760.868
28.60
R2Y12WAL.WK4
J-281
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27,5
(B)
Axial vel.
V-d
. ft/sec
18.6
21.5
22.9
25.5
26.3
26.6
26.2
25.2
33.0
32.2
33.0
33.1
34.3
34.2
34.6
34.7
34.6
34.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.30
20.05
22.20
24.20
25.90
26.45
26.40
25.70
29.10
32.60
32.60
33.05
33.70
34.25
34.40
34.65
34.65
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
Vol. flow
in segment
(col C X F)
7684.02
16440.10
18063.52
19538.81
20748.64
21023.06
20817.44
782.26 20103.99
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
22580.82
25091.89
24887.06
25022.93
25303.32
25501.08
25396.63
25363.48
25145.77
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
368712.56
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
34.90
5054.65
176407.12
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 545119.681
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 29.88
R2Y12WAL.WK4
J-282
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 8
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
line 1) radius: 87.06 in
pi =
3,14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel
V-d
ft/sec
6.4
27.2
30.6
32.5
32.2
34.7
37.1
37.3
38.5
36.3
38.7
38.6
38.4
38.0
37.3
40.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
3.20
16.80
28.90
31.55
32.35
33.45
35.90
37.20
37.90
37.40
37.50
38.65
38.50
38.20
37.65
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
1740.39
9031.50
15354.74
16564.47
16781.22
17141.66
18171.62
18595.91
18707.70
18225.90
18039.02
18349.37
18036.25
17655.69
17164.93
line 2)
line 3)
(use d=16 for drem)
Total near-wall volumetric flow (total of column G)
239560,36
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
40.70
438.74
17856.89
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 257417.252
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 32.43
RUN8Y12P.WK4
J-234
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 11
PORT A, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
23,811,5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
17.7
23.6
25.4
27.5
29.9
30.1
31.3
33.8
34.3
35.2
34.9
34.8
36.5
34.8
36.9
35.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.85
20.65
24.50
26.45
28.70
30.00
30.70
32.55
34.05
34.75
35.05
34.85
35.65
35.65
35.85
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
4813.27
11101.21
13016.99
13886.85
14887.82
15373.69
15539.52
16271.42
16807.31
16934.50
16860.47
16545.29
16701.10
16477.11
16344.29
line 3)
(use d=16 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
221560.84
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.90
438.74
15750.92
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
237311.76
29.90
R11U12P.WK4
J-235
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 11
PORT B, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
23,811,5 sq. in.
87.06 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
^JBL
Axial vel.
V-d
ft/sec
29.0
30.8
33.6
34.6
33.7
35.3
34.7
36.4
36.5
38.0
38.3
38.6
38.4
39.7
38.2
38.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
14.50
29.90
32.20
34.10
34.15
34.50
35.00
35.55
36.45
37.25
38.15
38.45
38.50
39.05
38.95
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174,50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7886.15
16073.91
17108.05
17903.27
17714.95
17679.74
17716.06
17771.09
17991.97
18152.80
18351.69
18254.42
18036.25
18048.55
17757.61
(use d=16 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
segment
38.80
438.74
segment
256446.53
17023.28
273469.803
34.45
R11U12P.WK4
J-236
10/23/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 11
PORT C, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in,
line 1) radius: 87.06 in
line 2)
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d- 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
24.7
30.0
33.1
35.9
37.0
38.3
40.2
39.4
39.7
40.1
41.6
41.8
42.1
43.8
43.4
43.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.35
27.35
31.55
34.50
36.45
37.65
39.25
39.80
39.55
39.90
40.85
41.70
41.95
42.95
43.60
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642,53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
.543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
6716.82
14703.06
16762.70
18113.28
18908.06
19293.98
19867.30
19895.62
19522.15
19444.21
19650.50
19797.38
19652.49
19851.10
19877.58
(use d=16 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
272056.23
area segment
43.50
438.74
19085.37
area segment
291141.601
36.68
line 3)
line 4)
line 5a)
line 5b)
R11U12P.WK4
J-237
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 11
PORT D, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
8.2
28.8
32.3
32.8
35.5
34.7
36.8
37.4
38.5
39.9
38.5
38.8
38.0
39.1
39.4
40.1
(C) (D) (E) (F) (G) !
Decay vel.
avg of d, d-1
4.10 .
18.50
30.55
32.55
34.15
35.10
35.75
37.10
37.95
39.20
39.20
38.65
38.40
38.55
39.25
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
nediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
2229.88
9945.40
16231.39
17089.49
17714.95
17987.22
18095.69
18545.92
18732.38
19103.09
18856.79
18349.37
17989.40
17817.46
17894.38
(use d=16 for drem)
Total near-wall volumetric flow (total of column G) 246582.80
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=1 6 40.10
b) Total area in remainder segment 438.74
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 17593.64
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 264176.442
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 33.28
I
line 3)
line 4)
line 5a)
line 5b)
R11U12P.WK4
J-238
10/23/98
-------
line 1}
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 11
PORT A, USl 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= ,1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
16.1
23.1
25.7
28.1
29.5
29.3
32.3
32.5
32.6
33.3
35.1
34.7
35.3
36.9
36.6
36.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.05
19.60
24.40
26.90
28.80
29.40
30.80
32.40
32.55
32.95
34,20
34.90
35.00
36.10
36.75
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)*2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
4378.17
10536.75
12963.86
14123.11
14939.70
15066.22
15590.13
16196.44
16066.90
16057.31
16451.58
16569.03
16396.59
16685.09
16754.61
(use d=16 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
36.60
438.74
area segment
218775.49
16058.04
"
234833.533
29.59
R11Y12P.WK4
J-239
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 11
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq, in.
radius: 87.06 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
28.1
31.0
32.6
33.8
34.7
36.3
36.8
37.8
38.0
36.7
37.2
37.2
37.1
38.3
38.7
37.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
14.05
29.55
31.80
33,20
34.25
35.50
36.55
37.30
37.90
37.35
36.95
37.20
37.15
37.70
38.50
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198,75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
Vol. flow
in segment
(col C X F)
7641.41
15885.76
16895.53
17430.75
17766.83
18192.20
18500.63
18645.90
18707.70
18201.54
17774.44
17660.97
17403.81
17424.60
17552.45
line 3)
(use d=16 for drem)
Total near-wall volumetric flow (total of column G)
255684.50
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
37.60
438.74
16496.78
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 272181.286
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 34.29
R11Y12P.WK4
J-240
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wai! Effects Run 11
PORTC, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87,06 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
24.4
30.8
34.2
35.3
36.2
36.9
39.1
39.5
40.0
41.2
42.4
40.3
42.4
42.5
44.1
42.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.20
27.60
32.50
34.75
35.75
36.55
38.00
39.30
39.75
40.60
41.80
41.35
41.35
42.45
43.30
Intern
calcu
pt(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455.91
I
Vol. flow
in segment
(col C X F)
6635.24
14837.46
17267.44
18244.54
18544.94
18730.28
19234.58
19645.68
19620.87
19785.34
20107.49
19631.21
19371.40
19620.00
19740.80
(use d=16 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
271017.28
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
42.00
438.74
18427.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 289444.535
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 36.47
R11Y12P.WK4
J-241
10/23/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at AEP Picway
Wall Effects Run 11
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811,5 sq. in,
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
drem 15.5
(B)
Axial vel.
V-d
ft/sec
7.4
27.9
31.0
32.9
34.4
34.8
36.1
37.0
35.9
38.8
38.5
38.6
38.5
37.2
38.4
39.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
3.70
17.65
29.45
31.95
33.65
34.60
35.45
36.55
36.45
37.35
38.65
38.55
38.55
37.85
37.80
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198,75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231.27
16769.08
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198,75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
18174.50
17699.74
17231,27
16769.08
16313.17
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
481.04
474.76
468.47
462.19
455,91
Vol. flow
in segment
(col C X F)
2012.33
9488.45
15646.96
16774.48
17455.58
17730.99
17943.84
18270.98
17991.97
18201.54
18592.21
18301.89
18059.68
17493.93
17233.31
line 3)
(use d=16 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
241198.12
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
39.20
438.74
17198.77
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 258396.898
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 32.56
R11Y12P.WK4
J-242
10/23/98
-------
line 1)
line 2}
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORT A, USI 16pt AUTOPROBE, STRAIGHT-DP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel,
V-d
ft/sec
18.7
22.6
25.6
27.1
29.9
32.9
31.7
32.9
34.1
32.5
35.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.35
20.65
24.10
26.35
28.50
31.40
32.30
32.30
33.50
33.30
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
5085.21
11101.21
12804.47
13834.35
14784.08
16091.13
16349.39
16146.45
16535.83
16227.88
line 3)
(use vel. at d=11 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equafarea
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
35.40
796.90
segment
138959.99
28210.28
167170.273
28.08
RUN5U16P.WK4
10/27/98
J-243
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORT B, US! 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
cN 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
27.0
31.1
33.5
33.0
35.9
34.9
33.9
37.5
35.7
37.7
36.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.50
29.05
32.30
33.25
34.45
35.40
34.40
35.70
36.60
36.70
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
7342.28
15616.96
17161.18
17457.00
17870.58
18140.95
17412.36
17846.07
18066.01
17884.78
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
-
area segment
36.50
796.90
area segment
164798.17
29086.87
193885.043
32.57
line 4)
line 5a)
line 5b)
RUN5U16P.WK4
10/27/98
J-244
-------
linel)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORTC, US! 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
26.1
30.7
31.7
35.3
36.5
37.1
40.1
39.9
41.0
41.9
41.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.05
28.40
31.20
33.50
35.90
36.80
38.60
40.00
40.45
41.45
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
7097.53
15267.53
16576.74
17588.26
18622.75
18858.39
19538.28
19995.60
19966.40
20199.56
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
41.50
796.90
segment
173711.05
33071.38
206782.429
34.74
line 3)
line 4)
line 5a)
line 5b)
RUN5U16P.WK4
10/27/98
J-245
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
23,811.5 sq. in.
- 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
6.4
27.5
30.1
32.9
34.3
34.5
36.9
35.4
36.7
38.1
37.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
3.20
16.95
28.80
31.50
33.60
34.40
35.70
36.15
36.05
37.40
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
Vol. flow
in segment
(col C X F)
1740.39
9112.13
15301.61
16538.22
518.74 17429.65
512.46
506.17
499.89
493.61
487.32
17628.50 i
18070.38
18071.02
17794.53
18225.90
(use vel. at d=11 for drem)
line 3)
line 4)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
line 5a)| a) Add the values on lines 3 and 4.
line 5b)
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
37.70
796.90
segment
149912.33
30043.16
179955.485
30.23
RUN5U16P.WK4
J-246
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
17.2
22.4
25.0
27.0
29.3
30.3
30.8
31.7
32.1
33.7
36.4
(C) (D) (E) (F) (G)
Decay vel,
avg of d, d-1
8.60
19.80
23.70
26.00
28.15
29.80
30.55
31.25
31.90
32.90
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
4677.30
10644.26
12591.95
13650.59
14602.52
15271.20
15463.59
15621.56
15746.06
16032.95
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
134301.98
Volumetric flow in remainder of the Method 1 near-wall equaf area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
36.40
796.90
29007.18
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 163309.162
b) Divide line a) by 1/4*pi*rA2 I
This is the substitute velocity value, V. 27.43:
RUN5Y16P.WK4
10/27/98
J-247
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
23,811-5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
27.4
29.1
31.9
33.2
35.6
34.7
35.1
36.6
38.9
37.4
36.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.70
28.25
30.50
32.55
34.40
35.15
34.90
35.85
37.75
38.15
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
7451.05
15186.89
16204.83
17089.49
17844.64
18012.84
17665.44
17921.06
18633.66
18591.40
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
36.00
796.90
segment
164601.29
28688.42
193289.716
32.47
line 4)
line 5a)
line 5b)
RUN5Y16P.WK4
J-248
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORTC, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
26.2
30.7
33.2
34.5
37.4
35.7
40.1
40.3
41.5
41.1
42.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.10
28.45
31.95
33.85
35.95
36.55
37.90
40.20
40.90
41.30
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
7124.73
15294.41
16975.22
17772.02
18648.69
18730.28
19183.96
20095.58
20188.52
20126.47
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
42.00
796.90
area segment
174139.87
33469.83
207609.694
34.88
line 4)
line 5a)
line 5b)
RUN5Y16P.WK4
10/27/98
J-249
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 5
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
5.4
27.1
31.3
33.7
34.2
35.0
36.3
37.0
38.4
37.4
37.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
2.70
16.25
29.20
32.50
33.95
34.60
35.65
36.65
37.70
37.90
Intern
calcu
^i(r-d+1)^2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
1468.46
8735.82
15514.13
17063.24
17611.21
17730.99
18045.07
18320.97
18608.98
18469.57
line 3)
(use vel. atd=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
37.20
796.90
area segment
151568.43
29644.71
181213.131
30.44
line 4)
line 5a)
line 5b)
RUN5Y16P.WK4
10/27/98
J-250
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wail Effects Run 8
PORT A, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq, in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vei.
V-d
ft/sec
17.4
21.5
24.1
26.8
28.6
28.4
32.0
31.7
33.7
34.1
35.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.70
19.45
22.80
25.45
27.70
28.50
30.20
31.85
32.70
33.90
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
4731.69
10456.11
12113.77
13361.83
14369.08
14605.01
15286.43
15921.50
16140.94
16520.27
line 3)
(use veL at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equaf area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
35.10
796.90
segment
133506.63
27971.21
161477.841
27.13
line 4)
line 5a)
line 5b)
RUN8U16P.WK4
J-251
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 8
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
28.9
32.0
32.2
33.9
34.3
35.7
35.1
36.8
38.5
36.1
37.9
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
14.45
30.45
32.10
33.05
34.10
35.00
35.40
35.95
37.65
37.30
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154,99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
7858.95
16369.59
17054.92
17352.00
17689.02
17935.97
17918.53
17971.04
18584.30
18177.17
line 3)
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 37.90
b) Total area in remainder segment 796.90
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
166911.49
30202.54
197114.027
33.11
line 4)
line 5a)
line 5b)
RUN8U16P.WK4
10/27/98
J-252
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 8
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
24.2
30.1
33.0
35.2
36.4
37.5
38.9
39.3
40.0
40.9
42.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.10
27.15
31.55
34.10
35.80
36.95
38.20
39.10
39.65
40.45
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
nediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75.
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
6580.85
14595.54
16762.70
17903.27
18570.87
18935.26
19335.81
19545.70
19571.51
19712.24
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
42.30
796.90
area segment
171513.77
33708.90
205222.671
34.47
line 4)
line 5a)
line 5b)
RUN8U16P.WK4
10/27/98
J-253
-------
linel)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 8
PORTD, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
7.5
28.1
31.1
33.2
34.6
37.3
36.7
37.3
36.3
36.6
39.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
3.75
17.80
29.60
32.15
33.90
35.95
37.00
37.00
36.80
36.45
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
nediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
2039.52
9569.09
15726.65
16879.48
17585.27
18422.81
18728.41
18495.93
18164.73
17762.95
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
39.30
796.90
area segment
153374.83
31318.20
184693.025
31.03
line 4)
line 5a)
line 5b)
RUN8U16P.WK4
10/27/98
J-254
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 8
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
Pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
17.4
21.6
24.4
26.2
30.5
30.9
31.8
31.7
34.7
33.5
35.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.70
19.50
23.00
25.30
28.35
30.70
31.35
31.75
33.20
34.10
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
nediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
4731.69
10482.99
12220.04
13283.07
14706.27
15732.41
15868.53
15871.51
16387.75
16617.74
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equaf area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
35.30
796.90
segment
135901.98
28130.59
164032.571
27.56
line 4)
line 5a)
line 5b)
RUN8Y16P.WK4
J-255
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 8
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
27.0
31.1
32.6
34.3
34.7
34.1
36.8
37.2
36.3
36.8
37.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.50
29.05
31.85
33.45
34.50
34.40
35.45
37.00
36.75
36.55
Intermediate
calculations
pi(r-d+1)A2| pi(r-d)A2
23811.52 23267.65
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
!
22730.06
22198.75
21673.73
21154.99
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
20642.53 512.46
20136.36
19636.47
19142.86
18655.54
506.17
499.89
Vol. flow
in segment
(col C X F)
7342.28
15616.96
16922.09
17562.01
17896.51
17628.50
17943.84
18495.93
493.61 18140.05
487.32 17811.68
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
165359.85
line 4)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
37.60
796.90
29963.47
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
Iine5a) a) Add the values on lines 3 and 4. 195323.313
line 5b)j b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 32.81
RUN8Y16P.WK4
10/27/98
J-256
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 8
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
^ n
Axial vel.
V-d
ft/sec
24.9
31.2
33.1
35.2
35.5
37.5
39.6
39.6
40.3
41.7
40.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.45
28.05
32.15
34.15
35.35
36.50
38.55
39.60
39.95
41.00
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
6771.21
15079.37
17081.48
17929.53
18337.44
18704.66
19512.98
19795.64
19719.59
19980.27
(use vel.at d=11 fordrem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wail-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
40.40
796.90
area segment
172912.17
32194.79
205106.957
34.46
RUN8Y16P.WK4
3-257
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 8
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
6.4
27.2
30.6
32.5
32.2
34.7
37.1
37.3
38.5
36.3
38.7
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
3.20
16.80
28.90
31.55
32.35
33.45
35.90
37.20
37.90
37.40
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
1740.39
9031.50
15354.74
16564.47
16781.22
17141.66
18171.62
18595.91
18707.70
18225.90
t
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
38.70
796.90
area segment
150315,11
30840.06
181155.163
30.43
line 4)
line 5a)
line 5b)
RUN8Y16P.WK4
10/27/98
J-258
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 11
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
linel)
line 2)
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
17.7
23.6
25.4
27.5
29.9
30.1
31.3
33.8
34.3
35.2
34.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.85
20.65
24.50
26.45
28.70
30.00
30.70
32.55
34.05
34.75
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
led late
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
4813.27
11101.21
13016.99
13886.85
14887.82
15373.69
15539.52
16271.42
16807.31
16934.50
(use vel. at d=11 for drem)
line 3) [Total near-wall volumetric flow (total of column G)
line 4)
line 5a)
line 5b)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
34.90
796.90
area segment
138632.59
27811.83
166444.419
27.96
R11U16P.WK4
J-259
10/27/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 11
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
line 1) radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
29.0
30.8
33.6
34.6
33.7
35.3
34.7
36.4
36.5
38.0
38.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
14.50
29.90
32.20
34.10
34.15
34.50
35.00
35.55
36.45
37.25
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
7886.15
16073.91
17108.05
17903.27
17714.95
17679.74
17716.06
17771.09
17991.97
18152.80
I
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
38.30
796.90
area segment
165998.00
I
j
30521.30
196519.301
33.01
line 4)
line 5a)
line 5b)
R11U16P.WK4
10/27/98
J-260
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 11
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
I (A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
24.7
30.0
33.1
35.9
37.0
38.3
40.2
39.4
39.7
40.1
41.6
(C) (D) (E) (F) (G) !
Decay vel.
avg of d, d-1
12.35
27.35
31.55
34.50
36.45
37.65
39.25
39.80
39.55
39.90
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
6716.82
14703.06
16762.70
18113.28
18908.06
19293.98
19867.30
19895.62
19522.15
19444.21
I
(use vel.at d=11 fordrem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
41.60
796.90
area segment
173227.18
33151.07
206378.251
34.67
R11U16P.WK4
J-261
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 11
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius;
23,811.5 sq. in.
87.06 in
pi =
3.14159
^JA)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
^_(1L^
Axial vel.
V-d
ft/sec
8.2
28.8
32.3
32.8
35.5
34.7
36.8
37.4
38.5
39.9
38.5
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
4.10
18,50
30.55
32.55
34.15
35.10
35.75
37.10
37.95
39.20
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
2229.88
9945.40
16231.39
17089.49
17714.95
17987.22
18095.69
18545.92
18732.38
19103.09
line 3)
(used=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
155675.40
area segment
38.50
796.90
30680.68
area segment
186356.079
31.31
line 4)
line 5a)
line 5b)
R11U16P.WK4
J-262
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 11
PORT A, US! 16pt AUTOPROBE, YAW-NULLED
linel)
line 2)
Stack Area:
radius:
23,811.5 sq. in.
87.06 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
_JB)
Axial vel.
V-d
ft/sec
16.1
23.1
25.7
28.1
29.5
29.3
32.3
32.5
32.6
33.3
35.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.05
19.60
24.40
26.90
28.80
29.40
30.80
32.40
32.55
32.95
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
4378.17
10536.75
12963.86
14123.11
14939.70
15066.22
15590.13
16196.44
16066.90
16057.31
(use vel. at d=11 for drem)
line 3) [Total near-wail volumetric flow (total of column G)
135918.59
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
35.10
796.90
segment
27971.21
163889.803
27.53
line 4)
line 5a)
line 5b)
R11Y16P.WK4
J-263
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 11
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
23,811.5 sq, in.
87.06 in
pi
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
28.1
31.0
32.6
33.8
34.7
36.3
36.8
37.8
38.0
36.7
37.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
14.05
29.55
31.80
33.20
34.25
35.50
36.55
37.30
37.90
37.35
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
7641.41
15885.76
16895.53
17430.75
17766.83
18192.20
18500.63
18645.90
18707.70
18201.54
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
37.20
796.90
segment
167868.23
29644,71
197512.937
33.18
line 4)
line 5a)
line 5b)
R11Y16P.WK4
J-264
10/27/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Run 11
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
line 1) radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
24.4
30.8
34.2
35.3
36.2
36.9
39.1
39.5
40.0
41.2
42.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.20
27.60
32.50
34.75
35.75
36.55
38.00
39.30
39.75
40.60
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198,75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
6635.24
14837.46
17267.44
18244.54
18544.94
18730.28
19234.58
19645.68
19620.87
19785.34
line 2)
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
42.40
796.90
area segment
172546.36
33788.59
206334.951
34.66
line 4)
line 5a)
line 5b)
R11Y16P.WK4
J-265
10/27/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at AEP Picway
Wall Effects Run 11
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 23,811.5 sq. in.
radius: 87.06 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
7,4
27.9
31.0
32.9
34.4
34.8
36.1
37.0
35.9
38.8
38.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-lj
3.70
17.65
29.45
31.95
33.65
34.60
35.45
36.55
36.45
37.35
Intern
calcu
pi(r-d+1)A2
23811.52
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
lediate
lations
pi(r-d)A2
23267.65
22730.06
22198.75
21673.73
21154.99
20642.53
20136.36
19636.47
19142.86
18655.54
Area of
segment
(col D - E)
543.87
537.59
531.31
525.02
518.74
512.46
506.17
499.89
493.61
487.32
Vol. flow
in segment
(col C X F)
2012.33
9488.45
15646.96
16774.48
17455.58
17730.99
17943.84
18270.98
17991.97
18201.54
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
151517.10
segment
38.50
796.90
30680.68
segment
182197.781
30.61
line 4)
line 5a)
line 5b)
R11Y16P.WK4
J-266
10/27/98
-------
ATTACHMENT E.
Mitchell Station
Wall Effects Calculation Forms
J-267
-------
This Page Intentionally Left Blank
J-268
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3,14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
13.7
14.6
15.5
16.2
17.2
16.9
17.4
17.8
19.1
18.4
17.7
18.6
18.5
18.9
18.8
19.6
19.5
19.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.85
14.15
15.05
15.85
16.70
17.05
17.15
17.60
18.45
18.75
18.05
18.15
18.55
18.70
18.85
19.20
19.55
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488,10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
5659,73
11602.37
12245.77
12797.12
13378.47
13551.73
13523.45
13767.71
14316.70
14431.69
13779.49
13741.79
13928.09
13923.22
13916.46
14054.22
14187.58
(use d=1 8 for drem)
Total near-wall volumetric flow (total of column G) 222805.59
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 19.90
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 100587.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 323393.03
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 17.72
R1U12WAL.WK4
J-269
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area:
radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
13.6
15.2
15.8
16.9
19.0
19.2
19.0
19.3
19.3
19.7
19.6
19.4
19.6
19.5
20.6
19.6
19.7
20.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.80
14.40
15.50
16.35
17.95
19.10
19.10
19.15
19.30
19.50
19.65
19.50
19.50
19.55
20.05
20.10
19.65
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54*
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
Vol. flow
in segment
(col C X F)
5618.42
11807.36
12611.92
13200.81
14379.85
15181.11
15061.10
14980.21
14976.28
15008.95
15000.94
14763.91
750.84 14641.39
744.56
738.27
731.99
725.71
14556.09
14802.39
14713.02
14260.16
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
area segment
20.60
5054.65
235563.91
104125.69
Wall-effect adjusted velocitv in the Method 1 near-wall eaual area seamen!
line 4)
line 5a)
line 5b)
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
339689.598
18.62
R1U12WALWK4
J-270
11/02/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORTC, USI 12ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
^JB1_
Axial vel.
V-d
ft/sec
15.2
15.8
16.8
18.3
18.6
19.1
19.2
20.1
19.6
20.2
21.1
20.2
20.8
20.4
20.8
21.3
21.4
21.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.60
15.50
16.30
17.55
18.45
18.85
19.15
19.65
19.85
19.90
20.65
20.65
20.50
20.60
20.60
21.05
21.35
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54"
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
826.24 6279.41
819.96 12709.31
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
13262.86
14169.68
14780.40
14982.41
15100.53
15371.34
15403.07
15316.83
15764.35
15634.60
750.84 15392.23
744.56
738.27
731.99
725.71
15337.88
15208.44
15408.41
15493.86
(use d=18 for drem)
Total near-wall volumetric flow (total of column G) 245615,59
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 21 .00
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 106147.55
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 351763.135
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 19.28
line 3)
line 4)
line 5a)
line 5b)
R1U12WAL.WK4
J-271
11/02/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wail Effects Run 1
PORT D, USl 12pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
^JiL^
Axial vel.
V-d
ft/sec
13.2
15.0
15.3
16.3
16.9
17.5
18.2
17.9
18.7
19.4
19.2
19.0
19.2
19.5
19.6
20.2
20.4
20.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
14.10
15.15
15.80
16.60
17.20
17.85
18.05
18.30
19.05
19.30
19.10
19.10
19.35
19.55
19.90
20.30
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54'
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
5453.17
11561.37
12327.13
12756.75
13298.36
13670.95
14075.43
14119.73
14200.31
14662.59
14733.75
14461.06
14341.05
14407.18
14433.26
14566.62
14731.87
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
227800.56
Volumetric flow In remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.00
5054.65
101092.90
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 328893.468
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 18.03
R1U12WALWK4
J-272
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT A, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq. in.
radius: 132 in
3,14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
14.1
15.2
16.0
16.2
16.4
17.8
17.5
17.6
18.0
19.4
18.8
19.1
19.9
18.7
19.1
19.6
19.8
19.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.05
14.65
15.60
16.10
16.30
17.10
17.65
17.55
17.80
18.70
19.10
18.95
19.50
19.30
18.90
19.35
19.70
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759,47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
Vol. flow
in segment
(col C X F)
5824.98
12012.35
12693.29
807.39 I 12998.96
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
13058.02
13591.47
13917.72
13728.60
13812.32
14393.20
14581.07
14347.49
14641.39
14369.95
13953.38
14164.02
725.71 I 14296.44
I
line 3)
(use d=18 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
226384.65
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.70
5054.65
99576.51
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 325961.159
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 17.86
R1Y12WALWK4
11/02/98
J-273
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
M-^
Axial vel.
V-d
ft/sec
13.2
14.5
15.1
16.6
17.2
17.3
18.2
18.0
19.7
19.3
19.8
19.2
20.6
19.9
20.7
20.0
20.1
21.2
(C) (D) (E) (F)
Decay vel.
avg of d, d-1
6.60
13.85
14.80
15.85
16.90
17.25
17.75
18.10
18.85
19.50
19.55
19.50
19.90
20.25
20.30 ,
20.35
20.05
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54*
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
(G)
Vol. flow
in segment
(col C X F)
5453.17
11356.38
12042.35
12797.12
13538.69
13710.69
13996.58
14158.84
14627.09
15008.95
14924.60
14763.91
14941.72
15077.28
14986.96
14896.01
725.71 14550.44
.
line 2)
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
230830.79
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
21.20
5054.65
107158.48
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 337989.264
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 18.52
R1Y12WALWK4
J-274
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORTC, US! 12pt AUTOPROBE, YAW-NULLED
line 1)
Stack Area: 54,739.1 sq. in.
radius; 132 in
pi =
3.14159
line 2}
line 3)
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
^JB)
Axial vel.
V-d
ft/sec
15.4
16.0
17.1
18.0
18.9
18.6
19.3
19.3
19.4
20.1
20.5
20.5
20.0
20.4
20.7
21.1
20.5
21.2
(used=18fordrem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.70
15.70
16.55
17.55
18.45
18.75
18.95
19.30
19.35
19.75
20.30
20.50
20.25
20.20
20.55
20.90
20.80
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
5147186
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
I
lediate
lations
_PJitd)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
6362.04
12873.30
13466.27
14169.68
14780.40
14902.92
14942.82
15097.55
15015,08
15201.38
15497,16
15521.03
15204.52
15040,05
15171.53
15298.61
15094.72
Total near-wall volumetric flow (total of column G) 243639.05
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 21 .20
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 107158.48
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 350797.532
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 19.23
R1Y12WALWK4
J-275
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq, in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/see
12.3
14.5
15.7
16.3
17.5
18.1
17.8
18.3
18.4
19.4
18.5
19.7
18.6
19.1
19.5
19.7
19.7
19.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.15
13.40
15.10
16.00
16.90
17.80
17.95
18.05
18.35
18.90
18.95
19.10
19.15
18.85
19.30
19.60
19.70
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
5081.37
10987.40
12286.45
12918.22
13538.69
14147.84
14154.28
14119.73
14239.11
14547.14
14466.56
14461.06
14378.59
14034.90
14248.69
14347.02
14296.44
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
226253,49
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.90
5054.65
100587.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 326840.927
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 17.91
R1Y12WALWK4
J-276
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT C, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d- 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
20.8
22.4
24.8
25.6
27.8
26.7
27.3
26.3
32.6
33.7
34.8
34.5
34.6
35.0
34.8
35.1
35.5
35.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.40
21.60
23.60
25.20
26.70
27.25
27.00
26.80
29.45
33.15
34.25
34.65
34.55
34.80
34.90
34.95
35.30
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
8592.88
17711.04
19202.66
20346.20
21389.52
21658,92
21290.56
20964.47
22852.41
25515.22
26146.68
26234.33
25941.53
25910.59
25765.76
25583.08
25617.48
_
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
380723.34
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.10
5054.65
177418.05
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. S58141.385
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 30.59
R2Y12WAL.WK4
J-283
11/62/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi
3.14159
(A)
Distance
from wall
(inches) .
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
17.6
20.6
21.7
24.2
25.8
24.4
24.8
24.8
31.9
32.5
32.5
32.0
32.8
34.0
33.0
34.0
33.7
33.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.80
19.10
21.15
22.95
25.00
25.10
24.60
24.80
28.35
32.20
32.50
32.25
32.40
33.40
33.50
33.50
33.85
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
7270.90
15661.15
17209.17
18529.58
20027.64
19950.05
19398.07
19399.96
21998.84
24784.01
24810.72
24417.23
24327.23
24868.21
24732.18
24521.69
24565.20
line 3)
(use d=18fordrem)
Total near-wall volumetric flow (total of column G)
356471.821
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
33.90
5054.65
171352.47
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 527824.296
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 28.93
R2Y12WALWK4
J-284
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT A, USI 12ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
25.3
26.6
29.7
29.5
30.4
32.3
32.1
31.8
32.2
30.6
30.6
28.8
27.6
27.7
27.9
26.8
28.6
27.7
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
12.65
25.95
28.15
29.60
29.95
31.35
32.20
31.95
32.00
31.40
30.60
29.70
28.20
27.65
27.80
27.35
27.70
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
10451.92
21277.84
22904.87
23898.71
23993.12
24917.69
25390.97
24993.09
24831.14
24168.26
23360.25
22486.57
21173.70
20587.01
20524.02
20019.95
20102.10
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
375081.20
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
27.70
5054.65
140013.67
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 515094.868
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 28.23
R3U12WAL.WK4
J-285
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
22.8
27.4
29.7
30.6
31.9
32.4
34.1
34.6
33.7
33.5
31.2
29.2
28.5
29.0
28.2
29.2
28.8
30.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.40
25.10
28.55
30.15
31.25
32.15
33.25
34.35
34.15
33.60
32.35
30.20
28.85
28.75
28.60
28.70
29.00
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996,06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
9419.12
20580.88
23230.34
24342.78
25034.56
25553.55
26218.94
26870.50
26499.48
25861.58
24696.21
22865.13
21661.74
21406.02
21114.64
21008.14
21045.52
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
387409.11
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
30.10
5054.65
152144.82
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 539553.936
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 29.57
R3U12WAL.WK4
11/02/98
J-286
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT C, USI 12pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
25.9
29.1
31.5
31.8
33.7
34.0
34.5
34.8
36.5
34.3
32.8
31.7
29.5
30.6
29.6
30.3
29.7
29.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12,95
27.50
30.30
31.65
32.75
33.85
34.25
34.65
35.65
35.40
33.55
32.25
30.60
30.05
30.10
29.95
30.00
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10.
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)*2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769,69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
10699.79
22548,77
24654,27
25553.86
26236.21
26904.75
27007.48
27105.18
27663.44
27247.02
25612.30
24417.23
22975.71
22373.94
22222.05
21923.12
21771.23
line 3)
line 4)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
406916.36
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
29.70
5054.65
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 5a) a) Add the values on lines 3 and 4.
line 5b) b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
150122.96
557039.318
30.53
R3U12WALWK4
11/02/98
J-287
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT D, USI 12pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
22.5
27.2
28.8
29.8
29.7
31.9
32.7
32.3
32.4
31.5
30.4
28.7
28.2
28.6
28.6
28.0
28.2
28.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.85
28.00
29.30
29.75
30.80
32.30
32.50
32.35
31.95
30.95
29.55
28.45
28.40
28.60
28.30
28.10
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
9295.18
20375.89
22782.82
23656.50
23832.90
24480.54
25469.82
25423.33
25102.73
24591.59
23627.44
22373.00
21361.41
21145.42
21114.64
20715.34
20392.38
(use d=18 for drem)
Total near-wall volumetric flow (total of column G) 375740.93
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 28.90
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 146079.25
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 521820.177
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 28.60
line 3)
line 4)
line 5a)
line 5b)
R3U12WAL.WK4
J-288
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT A, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
24.3
27.4
30.5
30.1
31.3
31.3
32.9
32.9
33.5
30.8
29.9
27.9
27.8
28.4
27.9
27.4
27.3
28.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.15 .
25.85
28.95
30.30
30.70
31.30
32.10
32.90
33.20
32.15
30.35
28.90
27.85
28.10
28.15
27.65
27.35
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273,28
lediate
iations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
10038.80
21195.85
23555.81
24463.89
24593.95
24877.95
25312.12
25736.23
25762.31
24745.53
23169.39
21880.87
20910.90
20922.06
20782.41
20239.55
19848.10
(use d=18 for drem)
line 3) [Total near-wall volumetric flow (total of column G)
378035.71
line 4)
line 5a)
line 5b)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
28.50
5054.65
144057.39
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
522093.094
28.61
R3Y12WAL.WK4
J-289
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
23.4
27.4
29.8
30.8
30.6
33.2
34.1
34.5
34.1
34.0
31.9
28.6
28.4
28.5
28.7
31.0
30.8
30.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.70
25.40
28.60
30.30
30.70
31.90
33.65
34.30
34.30
34.05
32.95
30.25
28.50
28.45
28.60
29.85
30.90
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488:10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
9666.99
20826.87
23271.02
24463.89
24593.95
25354.84
26534.35
26831.39
26615.88
26207.94
25154.25
22902.99
21398.95
21182.65
21114.64
21849.93
22424.37
(use d=18 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
30.10
5054.65
area segment
390394.88
152144.82
542539.704
29.73
R3Y12WAL.WK4
J-290
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT C, USl 12pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
24.9
29.0
31.1
31.6
33.2
33.9
35.1
33.9
33.9
34.6
31.4
30.7
28.6
30.5
30.6
29.9
29.7
30.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.45
26.95
30.05
31.35
32.40
33.55
34.50
34.50
33.90
34.25
33.00
31.05
29.65
29.55
30.55
30.25
29.80
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
10286.67
22097.80
24450.85
25311.64
25955.83
26666.30
27204.61
26987.84
26305.49
26361.88
25192.42
23508.69
22262.42
22001.66
22554.27
22142.72
21626.09
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
area segment
30.80
5054.65
area segment
400917.17
155683.07
line 4)
line 5a)j
line 5b)
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
556600.245
30.51
R3Y12WAL.WK4
J-291
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
StackArea: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d*"5
- o
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
22.6
27.1
28.0
30.2
32.0
32.1
31.7
31.1
32.4
31.6
30.7
28.9
27.3
28.6
28.2
28.2
27.8
28.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.30
24.85
27.55
29.10
31.10
32.05
31.90
31.40
31.75
32.00
31.15
29.80
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
led fate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
48305.13 47529.16
47529.16
46759.47
45996.06
28.10 45238.94
27.95
28.40
28.20
28.00
44488.10
43743.54
43005.27
42273.28
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
Vol. flow
in segment
(col C X F)
9336.50
20375.89
22416.67
23495.02
24914.39
25474.06
25154.41
24562.85
24637.15
24630.08
23780.12
22562.28
21098.61
20810.37
738.27 20966.98
731.99
725.71
20642.14
20319.81
line 2)
line 3)
(use d=18 for drem)
line 4)
Total near-wall volumetric flow (total of column G)
375177.33
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
28.40
5054.65
143551.92
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 5a)
line 5b)
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
518729.253
28.43
R3Y12WAL.WK4
J-292
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT A, USI 12pt AUTOPROBE, STANDARD
Stack Area: 54,739,1 sq. in.
radius: 132 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
25.5
27.1
27.5
30.4
31.2
30.9
33.6
31.8
31.5
34.7
33.2
34.8
33.4
33.4
33.8
36.0
35.7
34.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.75
26.30
27.30
28.95
30.80
31.05
32.25
32.70
31.65
33.10
33.95
34.00
34.10
33.40
33.60
34.90
35.85
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
10534.54
21564.83
22213.25
23373.91
24674.06
24679.24
25430.40
25579.78
24559.55
25476.74
25917.66
25742.20
25603.66
24868.21
24806.01
25546.48
26016.62
line 3)
(use d=18fordrem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
34.80
5054.65
area segment
406587.12
175901.65
582488.771
31.92
R4U12WAL.WK4
J-293
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT B, USI 12pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
24.2
26.5
28.6
31.4
32.2
33.3
34.3
35.0
35.4
34.9
35.6
35.8
36.2
36.3
35.7
36.5
37.6
36.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.10
25.35
27.55
30.00
31.80
32.75
33.80
34.65
35.20
35.15
35.25
35.70
36.00
36.25
36,00
36.10
37.05
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875,93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
Vol. flow
in segment
(col C X F)
9997.49
819.96 20785.87
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
22416.67
24221.67
25475.16
26030.44
26652.63
27105.18
27314.25
27054.60
26910.09
27029.31
27030.25
26990.20
26577.86
26424.87
26887.47
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
424904^011
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
36.10
5054.65
182472.69
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
607376.701
33.29
R4U12WAL.WK4
J-294
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORTC, USl 12ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
,_(?)
Axial vel.
V-d
ft/sec
25.1
28.4
31.4
31.9
32.1
34.7
34.1
34.5
34.8
35.8
37.4
37.1
37.0
35.8
37.2
38.3
37.7
37.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.55
26.75
29.90
31.65
32.00
33.40
34.40
34.30
34.65
35.30
36.60
37.25
37.05
36.40
36.50
37.75
38.00
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
Vol. flow
in segment
(col C X F)
10369.29
21933.81
24328.80
807.39 25553.86
801,11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
25635.39
26547.08
27125.76
26831.39
26887.47
27170.05
27940.69
28202.85
27818.64
27101.88
26947.00
27632.65
27576.89
line 3)
(use d=18 for drem)
line 4)
Total near-wall volumetric flow (total of column G)
435603.48
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
37.70
5054.65
190560.12
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 5a)| a) Add the values on lines 3 and 4.
line 5b)
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
626163.608
34.32
R4U12WALWK4
J-295
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wail Effects Run 4
PORT D, USI 12pt AUTOPROBE, STANDARD
line 1)
line 2)
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 1
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
23.2
25.6
27.0
29.1
30.3
32.3
33.0
33.0
33.0
34.8
33.8
34.7
35.1
35.0
34.1
35.4
35.4
35.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.60
24.40
26.30
28.05
29.70
31.30
32.65
33.00
33.00
33.90
34.30
34.25
34.90
35.05
34.55
34.75
35.40
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
9584.37
20006.91
21399.58
22647.26
23792.84
24877.95
25745.81
25814.46
25607.11
26092.49
26184.85
25931.48
26204.33
26096.73
25507.37
25436.68
25690.05
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
406620.26
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.60
5054.65
179945.37
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 586565.631
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 32.15
R4U12WAL.WK4
J-296
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT A, USI 12ptAUTOPROBE, YAW-NULLED
Stack Area:
radius:
54,739.1 sq. in,
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 20.5
(B)
Axial vel.
V-d
ft/sec
25.1
27.4
29.6
30.2
31.2
31.9
32.2
31.9
33.0
33.3
33.7
33.2
35.3
34.3
35.5
35.4
35.7
35.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.55
26.25
28.50
29.90
30.70
31.55
32.05
32.05
32.45
33.15
33.50
33.45
34.25
34.80
34.90
35.45
35.55
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
I
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
10369.29
21523.83
23189.66
24140.93
24593.95
25076.65
25272.69
25071.31
25180.33
25515.22
25574.13
25325.78
25716.28
25910.59
25765.76
25949.07
25798.91
(use d= 18 for drem)
Total near-wall volumetric flow (total of column G) 409974.38
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 35.40
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 178934.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 588908.822
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 32.28
line 3)
line 4)
line 5a)
line 5b)
R4Y12WAL.WK4
J-297
11/02/98
-------
linel)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area:
radius;
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
__JB)
Axial vel.
V-d
ft/sec
23.5
28.3
29.9
32.7
32.1
32.8
33.3
34.8
33.6
34.5
36.2
37.0
37.1
37.1
38.0
38.0
35.9
36.9
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
11.75
25.90
29.10
31.30
32.40
32.45
33.05
34.05
34.20
34.05
35.35
36.60
37.05
37.10
37.55
38.00
36.95
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
47529.16 46759.47
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
725.71
Vol. flow
in segment
(col C X F)
9708.30
21236.84
23677.86
25271.27
25955.83
25791.99
26061.23
26635.83
26538.28
26207.94
26986.43
27710.72
27818.64
27623.07
27722.19
27815.65
26814.90
(use d=18 for drem)
line 3) (Total near-wall volumetric flow (total of column G)
429576.97
line 4)
line 5a)
line 5b)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 36.90
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 186516.41
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 616093.378
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 33.77
R4Y12WAL.WK4
J-298
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT C, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
54,739.1 sq. in.
132 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
26.9
28.9
31.4
31.8
32.8
33.1
34.3
35.0
34.5
35.9
37.2
37.6
36.5
37.1
36.0
37.5
37.5
37.0
(use d=18 for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.45
27.90
30.15
31.60
32.30
32.95
33.70
34.65
34,75
35.20
36.55
37.40
37.05
36.80
36.55
36.75
37.50
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
45238.94 44488.10
44488.10
43743.54
43005.27
42273.28
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
11112.91
22876.75
24532.22
25513.49
25875.72
26189.41
26573.78
27105.18
26965.06
27093.08
27902.52
28316.42
27818.64
27399.70
26983.91
26900.66 i
725.71 27214.04
I
Total near-wall volumetric flow (total of column G) 436373.49
;
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 37.00
b) Total area in remainder segment 5054.65
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 187021.87
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 623395.361
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 34.17
line 3)
line 4)
line 5a)
line 5b)
R4Y12WAL.WK4
3-299
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
d= 17
drem 27.5
(B)
Axial vel.
V-d
ft/sec
22.5
25.5
28.4
29.9
31.8
32.2
32.4
33.0
34.2
33.8
34.2
35.0
35.1
34.5
34.9
34.7
34.9
35.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.00
26.95
29.15
30.85
32.00
32.30
32.70
33.60
34.00
34.00
34.60
35.05
34.80
34.70
34.80
34.80
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
lediate
lations
. pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
41547.57
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
Vol. flow
in segment
(col C X F)
9295.18
19678.93
21928.46
23535.39
24714.11
25434.32
25469.82
25579.78
26072.70
26169.46
25955.83
26196.47
26316.95
25910.59
738.27 I 25618.11
s
731.99
725.71
!
25473.28
25254.63
line 3)
(use d=18 for drem)
Total near-wall volumetric flow (total of column G)
408604.02
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.30
5054.65
178428.98
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 587032.995
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 32.17
R4Y12WAL.WK4
J-300
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT A, USI 16ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132.0001 in
pi =
3,14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem= 16.8
(B)
Axial vel.
V-d
ft/sec
13.7
14.6
15.5
16.2
17.2
16.9
17.4
17.8
19.1
18.4
17.7
18.6
18.5
18.9
18.8
19.6
19.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.85
14.15
15.05
15.85
16.70
17.05
17.15
17.60
18.45
18.75
18.05
18.15
18.55
18.70
18.85
19.20
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670,75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
5659.73
11602.37
12245.77
12797.12
13378.47
13551.73
13523.45
13767.71
14316.70
14431.69
13779.49
13741.79
13928.09
13923.22
13916.46
14054.22
line 3)
(used=17fordrem)
Total near-wall volumetric flow (total of column G)
208618.01
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.50
1218.94
23769.39
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
232387.391
16.98
R1U16WAL.WK4
J-301
11/02/98
-------
Form for calculating Replacement Near-Wail Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132.0001 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem= 16.8
(B)
Axial vel.
V-d
ft/sec
13.6
15.2
15.8
16.9
19.0
19.2
19.0
19.3
19.3
19.7
19.6
19.4
19.6
19.5
20.6
19.6
19.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.80
14.40
15.50
16.35
17.95
19.10
19.10
19.15
19.30
19.50
19.65
19.50
19.50
19.55
20.05
20.10
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
5618.42
11807.36
12611.92
13200.81
14379.85
15181.11
15061.10
14980.21
14976.28
15008.95
15000.94
14763.91
14641.39
14556.09
14802.39
14713.02
line 2)
(used=17fordrem)
221303.751
line 3) Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area In remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.70
1218.94
24013.17
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 245316.925
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 17.93
R1U16WALWK4
J-302
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT C, USI 16pt AUTOPROBE, STANDARD
line 1)
Stack Area:
radius:
130,741.0 sq. in.
132.0001 in
pi =
3.14159
line 2)
(A).
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem= 16.8
(B)
Axial vel.
V-d
ft/sec
15.2
15.8
16.8
18.3
18.6
19.1
19.2
20.1
19.6
20.2
21.1
20.2
20.8
20.4
20.8
21.3
21.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.60
15.50
16.30
17.55
18.45
18.85
19.15
19.65
19.85
19.90
20.65
20.65
20.50
20.60
20.60
21.05
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
6279.41
12709.31
13262.86
14169.68
14780.40
14982.41
15100.53
15371.34
15403.07
15316.83
15764.35
15634.60
15392.23
15337.88
15208.44
15408.41
i
(use d=17fordrem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G) 2301 21 .73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 21 .40
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 26085.38
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 256207.104
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 18.72
R1U16WAL.WK4
J-303
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT D, USI 16pt AUTOPROBE, STANDARD
Stack Area:
radius:
130,741.0 sq. in.
132.0001 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem= 16.8
(B)
Axial vel.
V-d
ft/sec
13.2
15.0
15.3
16.3
16.9
17.5
18.2
17.9
18.7
19.4
19.2
19.0
19.2
19.5
19.6
20.2
20.4
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
6.60
14.10
15.15
15.80
16.60
17.20
17.85
18.05
18.30
19.05
19.30
19.10
19.10
19.35
19.55
19.90
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
5453.17
11561.37
12327.13
12756.75
13298.36
13670.95
14075.43
14119.73
14200.31
14662.59
14733.75
14461.06
14341.05
14407.18
14433.26
14566.62
(used=17fordrem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
213068.70
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
20.40
1218.94
24866.43
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 237935.132
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 17.39
R1U16WALWK4
J-304
11/02/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT A, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
Axial vel.
V-d
ft/sec
14.1
15.2
16.0
16.2
16.4
17.8
17.5
17.6
18.0
19.4
18.8
19.1
19.9
18.7
19.1
19.6
19.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.05
14.65
15.60
16.10
16.30
17.10
17.65
17.55
17.80
18.70
19.10
18.95
19.50
19.30
18.90
19.35
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279,24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
5824.98
12012.35
12693.29
12998.96
13058.02
13591.47
13917.72
13728.60
13812.32
14393.20
14581.07
14347.49
14641.39
14369.95
13953.38
14164.02
I I I
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
212088.21
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
19.80
1218.94
24135.07
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
236223.276
17.26
I
R1Y16WALWK4
J-305
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT B, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in,
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
13.2
14.5
15.1
16.6
17.2
17.3
18.2
18.0
19.7
19.3
19.8
19.2
20.6
19.9
20.7
20.0
20.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
13.85
14.80
15.85
16.90
17.25
17.75
18.10
18.85
19.50
19.55
19.50
19.90
20.25
20.30
20.35
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
L (colCXF)
5453.17
11356.38
12042.35
12797.12
13538.69
13710.69
13996.58
14158.84
14627.09
15008.95
14924.60
14763.91
14941.72
15077.28
14986.96
14896.01
(use d=17for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
20.10
1218.94
segment
216280.35
24500,75
240781.098
17.59
R1Y16WALWK4
J-306
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 1
PORT C, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
Axial vel.
V-d
ft/sec
15.4
16.0
17.1
18.0
18.9
18.6
19.3
19.3
19.4
20.1
20.5
20.5
20.0
20.4
20.7
21.1
20.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.70
15.70
16.55
17.55
18.45
18.75
18.95
19.30
19.35
19.75
20.30
20.50
20.25
20.20
20.55
20.90
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
6362.04
12873.30
13466.27
14169.68
14780.40
14902.92
14942.82
15097.55
15015.08
15201.38
15497.16
15521.03
15204.52
15040.05
15171.53
15298.61
(use d= 17 for drem)
Total near-wall volumetric flow (total of column G) 228544.33
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 20.50
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 24988.33
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 253532.662
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 18.53
line 3)
line 4)
line 5a)
line 5b)
R1Y16WAL.WK4
11/02/98
J-307
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wai! Effects Run 1
PORTD, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
12.3
14.5
15.7
16.3
17.5
18.1
17.8
18.3
18.4
19.4
18.5
19.7
18.6
19.1
19.5
19.7
19.7
(Q (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
6.15
13.40
15.10
16.00
16.90
17.80
17.95
18.05
18.35
18.90
18.95
19.10
19.15
18.85
19.30
19.60
Intern
calcu
pi(r-d+1)A2
54739,11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
Vol. flow
in segment
(col C X F)
5081.37
10987.40
12286.45
12918.22
13538.69
14147.84
14154.28
14119.73
14239.11
14547.14
14466.56
14461.06
14378.59
14034.90
14248.69
731.99 14347.02
(use d=17 for drem)
Total near-wall volumetric flow (total of column G) 21 1957.05
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 19.70
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 24013.17
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 235970.22
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 17.24
line 3)
line 4)
line 5a)
line 5b)|
R1Y16WAL.WK4
J-308
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT A, USI 16pt AUTOPROBE, STANDARD
Stack Area:
radius:
54,739.1 sq. in.
132 in
PI
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
_^JB)
Axial vel.
V-d
ft/sec
19.1
20.6
22.1
24.2
25.5
25.1
25.6
24.3
30.5
31.5
32.5
32.7
33.4
32.5
33.4
33.1
33.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.55
19.85
21.35
23.15
24.85
25.30
25.35
24.95
27,40
31.00
32.00
32.60
33.05
32.95
32.95
33.25
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
7890.58
16276.11
17371.90
18691.05
19907.48
20109.01
19989.47
19517.29
21261.66
23860.39
24429.01
24682.23
24815.27
24533.16
24326.13
24338.69
(used=17fordrem)
Total near-wall volumetric flow (total of column G) 331999.45
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 33.50
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 40834.58
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 372834.038
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 27.24
line 3)
line 4)
line 5a)
line 5b)
R2U16WAL.WK4
J-309
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
18.9
20.5
22.5
25.7
26.1
27.0
26.4
26.0
32.8
33.7
33.0
32.9
34.5
34.4
34.0
33.7
35.1
(C) (D) (E) (F) (G) I
Decay vel.
avg of d, d-1
9.45
19.70
21.50
24.10
25.90
26.55
26.70
26.20
29.40
33.25
33.35
32.95
33.70
34.45
34.20
33.85
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087,39
48305.13
47529.16
46759.47
45996,06
45238.94
44488.10
43743.54
43005.27
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
7807.95
16153.12
17493.95
19458.07
20748.64
21102.54
21054.00
20495.11
22813.61
25592.19
25459.61
24947.22
25303.32
25649.99
25248.97
24777.89
line 3)
line 4)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
344106.20
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.10
1218.94
42784.89
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
lineSa) a) Add the values on lines 3 and 4. 386891.097
line 5b) b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 28.27
R2U16WAL.WK4
J-3IO
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORTC, USI 16ptAUTOPROBE, STANDARD
StackArea: 54,739.1 sq. in.
radius; 132 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drern 16.8
_ii)
Axial vel.
V-d
ft/sec
20.2
22.2
24.2
27.2
26.6
26.3
27.1
26.5
33.1
33.6
34.6
34.9
34.5
34.4
35.8
35.9
35.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.10
21.20
23.20
25.70
26.90
26.45
26.70
26.80
29.80
33.35
34.10
34.75
34.70
34.45
35.10
35.85
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
8345.01
17383.05
18877.19
20749.90
21549.75
21023.06
21054.00
20964.47
23124.00
25669.16
26032.17
26310.04
26054.16
25649.99
25913.42
26241.87
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
354941.24
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.50
1218.94
43272.47
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 398213.709
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 29.10
R2U16WALWK4
11/02/98
J-311
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT D, USI 16pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
line 2}
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
17.6
20.5
22.1
25.0
25.4
24.7
24.8
24.1
32.1
31.9
32.9
32.3
32.7
33.4
33.6
33.5
33.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.80
19.05
21.30
23.55
25.20
25.05
24.75
24.45
28.10
32.00
32.40
32.60
32.50
33.05
33.50
33.55
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
7270.90
15620.15
17331.22
19014.01
20187.87
19910.31
19516.35
19126.17
21804.84
24630.08
24734.38
24682.23
24402.31
24607.61
24732.18
24558.29
(use d=17 for drem)
Total near-wall volumetric flow (total of column G) 3321 28.89
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 33.20
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) _ 40468.90
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 372597.789
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 27.23
line 3)
line 4)
line 5a)
line 5b)
R2U16WAL.WK4
J-312
11/B2/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT A, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pis
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(BL_
Axial vel.
V-d
ft/sec
19.2
21.1
21.8
24.5
24.4
24.3
24.8
25.0
31.6
32.4
32.1
31.8
33.5
32.3
32.7
33.3
32.9
(used=17for drem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.60
20.15
21.45
23.15
24.45
24.35
24.55
24.90
28.30
32.00
32.25
31.95
32.65
32.90
32.50
33.00
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow I
in segment
(col C X F)
7931.89
16522.10
17453.27
18691.05
19587.04
19353.93
19358.64
19478.18
21960.04
24630.08
24619.87
24190.10
24514.94
24495.93
23993.90
24155.70
j
Total near-wall volumetric flow (total of column G) 330936.65
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 32.90
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 40103.22
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 371039.872
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 27.1 1
line 3)
line 4)
line 5a)
line 5b)
R2Y16WAL.WK4
J-313
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wail Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT B, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
18.6
21.5
22.9
25.5
26.3
26.6
26.2
25.2
33.0
32.2
33.0
33.1
34.3
34.2
34.6
34.7
34.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.30
20.05
22.20
24.20
25.90
26.45
26.40
25.70
29.10
32.60
32.60
33.05
33.70
34.25
34.40
34.65
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
7684.02
16440.10
18063.52
19538.81
20748.64
21023.06
20817.44
20103.99
22580.82
25091.89
24887.06
25022.93
25303.32
25501.08
25396.63
25363.48
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
34.60
1218.94
area segment
343566.79
42175.42
385742.215
28.19
line 4)
line 5a)
line 5b)
R2Y16WALWK4
11/02/98
J-314
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT C, US! 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
20.8
22.4
24.8
25.6
27.8
26.7
27.3
26.3
32.6
33.7
34.8
34.5
34.6
35.0
34.8
35.1
35.5
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
10.40
21.60
23.60
25.20
26.70
27.25
27.00
26.80
29.45
33.15
34.25
34.65
34.55
34.80
34,90
34.95
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305,13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807:39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
8592.88
17711.04
19202.66
20346.20
21389.52
21658.92
21290.56
20964.47
22852.41
25515.22
26146.68
26234.33
25941.53
25910.59
25765.76
25583.08
(use d=17 for drem)
line 3)
line 4)
line 5a)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
line 5b) b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
35.50
1218.94
area segment
355105.86
43272.47
398378.328
29.11
R2Y16WAL.WK4
J-315
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 2
PORT D, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq, in.
radius: 132 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
17.6
20.6
21.7
24.2
25.8
24.4
24.8
24.8
31.9
32.5
32.5
32.0
32.8
34.0
33.0
34.0
33.7
(C)
Decay vel.
avg of d, d-1
8.80
19.10
21.15
22.95
25.00
25.10
24.60
24.80
28.35
32.20
32.50
32.25
32.40
33.40
33.50
33.50
(D)
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
(E) (F) (G)
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
80111
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
7270.90
15661.15
17209.17
18529.58
20027.64
19950.05
19398.07
19399.96
21998.84
24784.01
24810.72
24417.23
24327.23
24868.21
24732.18
24521.69
(use d=17 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
33.70
1218.94
area segment
331906.62
41078.37
372984.993
27.26
R2Y16WAL.WK4
J-316
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT A, USI 16ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
^_JA)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
25.3
26.6
29.7
29.5
30.4
32.3
32.1
31.8
32.2
30.6
30.6
28.8
27.6
27.7
27.9
26.8
28.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.65
25.95
28.15
29.60
29.95
31.35
32.20
31.95
32.00
31.40
30.60
29.70
28.20
27.65
27.80
27.35
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305,13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
10451.92
21277.84
22904.87
23898.71
23993.12
24917.69
25390.97
24993.09
24831.14
24168.26
23360.25
22486.57
21173.70
20587.01
20524.02
20019.95
(use d=17 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
354979.09
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2,
Multiply a) by b)
28.60
1218.94
colE
34861.76
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 389840.859
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 28.49
R3U16WALWK4
J-317
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT B, USI 16pt AUTOPROBE, STANDARD
Stack Area:
line 1) radius:
54,739.1 sq. in.
132 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
22.8
27.4
29.7
30.6
31.9
32.4
34.1
34.6
33.7
33.5
31.2
29.2
28.5
29.0
28.2
29.2
28.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.40
25.10
28.55
30.15
31.25
32.15
33.25
34.35
34.15
33.60
32.35
30.20
28.85
28.75
28.60
28.70
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912,87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
9419.12
20580.88
23230.34
24342.78
25034.56
25553.55
26218.94
26870.50
26499.48
25861.58
24696.21
22865.13
21661.74
21406.02
21114.64
21008.14
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
line 4)
line 5a)
line 5b)
366363.59
Volumetric flow in remainder of the Method 1 near-wall equal area segment
1218.94
a) Axial
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35105.55
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 401469.146
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 29.34
R3U16WAL.WK4
J-318
11/02/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORTC, USI 16ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
(A)
Distance
from wall
. (inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
25.9
29.1
31.5
31.8
33.7
34.0
34.5
34.8
36.5
34.3
32.8
31.7
29.5
30.6
29.6
30.3
29.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.95
27.50
30.30
31.65
32.75
33.85
34.25
34.65
35.65
35.40
33.55
32.25
30.60
30.05
30.10
29.95
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
,
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731,99
Vol. flow
in segment
(col C X F)
10699.79
22548.77
24654.27
25553.86
26236.21
26904.75
27007.48
27105.18
27663.44
27247.02
25612.30
24417.23
22975.71
22373.94
22222.05
21923.12
line 3)
(use d=17 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
385145.13
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
29.70
1218.94
36202.60
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
421347.728
30.79
R3U16WAL.WK4
1-319
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wai! Effects Run 3
PORT D, USl 16pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
/TJ2\
1 ^j J
Axial vel.
V-d
ft/sec
22.5
27.2
28.8
29.8
29.7
31.9
32.7
32.3
32.4
31.5
30.4
28.7
28.2
28.6
28.6
28.0
28.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.85
28.00
29.30
29.75
30.80
32.30
32.50
32.35
31.95
30.95
29.55
28.45
28.40
28.60
28.30
Intermediate
calculations
j)i(r-d-M)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
9295.18
20375.89
22782.82
23656.50
23832.90
24480.54
25469.82
25423.33
25102.73
24591.59
23627.44
22373.00
21361.41
21145.42
21114.64
20715.34
(use d= 17 for drem)
Total near-wall volumetric flow (total of column G) 355348.55
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 28.20
b) Total area in remainder segment 1 21 8.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
34374.19
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 389722.733
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 28.48
line 3)
line 4)
line 5a)
line 5b)
R3U16WALWK4
J-320
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT A, US!16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
24.3
27.4
30.5
30.1
31.3
31.3
32.9
32.9
33.5
30.8
29.9
27.9
27.8
28.4
27.9
27.4
27.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.15
25.85
28.95
30.30
30.70
31.30
32.10
32.90
33.20
32.15
30.35
28.90
27.85
28.10
28.15
27.65
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
45238.94 44488.10
44488,10
43743.54
43005.27
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
10038.80
21195.85
23555.81
24463.89
24593.95
24877.95
25312.12
25736.23
25762.31
24745.53
23169.39
21880.87
20910.90
20922.06
20782.41
20239.55
(use d=17 for drem)
Total near-wall volumetric flow (total of column G) 358187.60
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 27.30
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 33277.14
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 391464.74
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 28.61
line 3)
line 4)
line 5a)
line 5b)
R3Y16WALWK4
J-321
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT B, USI 10pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pr =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
23.4
27.4
29.8
30.8
30.6
33.2
34.1
34.5
34.1
34.0
31.9
28.6
28.4
28.5
28.7
31.0
30.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.70
25.40
28.60
30.30
30.70
31.90
33.65
34.30
34.30
34.05
32.95
30.25
28.50
28.45
28.60
29.85
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
Vol. flow
in segment
(col C X F)
9666.99
20826.87
23271.02
24463.89
24593.95
25354.84
26534.35
26831.39
26615.88
26207.94
25154.25
22902.99
750.84 21398.95
744.56
738.27
21182.65
21114.64
731.99 | 21849.93
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
367970.52
line 4)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
30.80
1218.94
37543.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
line 5a) a) Add the values on lines 3 and 4.
line 5b)i b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
405513.956
29.63
R3Y16WALWK4
J-322
11/02/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT C, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
24.9
29.0
31.1
31.6
33.2
33.9
35.1
33.9
33.9
34.6
31.4
30.7
28.6
30.5
30.6
29.9
29.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.45
26.95
30.05
31.35
32.40
33.55
34.50
34.50
33.90
34.25
33.00
31.05
29.65
29.55
30.55
30.25
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
10286.67
22097.80
24450.85
25311.64
25955.83
26666.30
27204.61
26987.84
26305.49
26361.88
25192.42
23508.69
22262.42
22001.66
22554.27
22142.72
(use d=17 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
29.70
1218.94
area segment
379291.08
36202.60
415493.686
30.36
R3Y16WAL.WK4
J-323
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 3
PORT D, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec.
22.6
27.1
28.0
30.2
32.0
32.1
31.7
31.1
32.4
31.6
30.7
28.9
27.3
28.6
28.2
28.2
27.8
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
11.30
24.85
27.55
29.10
31.10
32.05
31.90
31.40
31.75
32.00
31.15
29.80
28.10
27.95
28.40
28.20
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
45238.94 44488.10
44488.10
43743.54
43005.27
i
i
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
9336.50
20375.89
22416.67
23495.02
24914.39
25474.06
25154.41
24562.85
24637.15
24630.08
23780.12
22562.28
21098.61
20810.37
20966.98
20642.14
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
354857.51
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
27.80
1218.94
33886.61
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 388744.125
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 28.41
R3Y16WAL.WK4
J-324
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT A, USI 16ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
25.5
27.1
27.5
30.4
31.2
30.9
33.6
31.8
31.5
34.7
33.2
34.8
33.4
33.4
33.8
36.0
35.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.75
26.30
27.30
28.95
30.80
31.05
32.25
32.70
31.65
33.10
33.95
34.00
34.10
33.40
33.60
34.90
Intern
calcu
pi(td+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
10534.54
21564.83
22213.25
23373.91
24674.06
24679.24
25430.40
25579.78
24559.55
25476.74
25917.66
25742.20
25603.66
24868.21
24806.01
25546.48
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
380570.50
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.70
1218.94
43516.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 424086.757
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 30.99
R4U16WAL.WK4
J-325
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wail Effects Run 4
PORT B, USI 16pt AUTOPROBE, STANDARD
line 1)
line 2)
Stack Area:
radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
24.2
26.5
28.6
31.4
32.2
33.3
34.3
35.0
35.4
34.9
35.6
35.8
36.2
36.3
35.7
36.5
37.6
(C) (D) (E) (F) (G)
Decay vel,
avg of d, d-1
12.10
25.35
27.55
30.00
31.80
32.75
33.80
34.65
35.20
35.15
35.25
35.70
36.00
36.25
36.00
36.10
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488,10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
9997.49
20785.87
22416.67
24221.67
25475.16
26030.44
26652.63
27105.18
27314.25
27054.60
26910.09
27029.31
27030.25
26990.20
26577.86
26424.87
(use d=17 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
37.60
1218.94
segment
398016.54
45832.25
443848.791
32.43
R4U16WALWK4
J-326
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORTC, USI 16ptAUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
25.1
28.4
31.4
31.9
32.1
34.7
34.1
34.5
34.8
35.8
37.4
37.1
37.0
35.8
37.2
38.3
37.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.55
26.75
29.90
31.65
32.00
33.40
34.40
34.30
34.65
35.30
36.60
37.25
37.05
36.40
36.50
37.75
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
ations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769,69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
10369.29
21933.81
24328.80
25553.86
25635.39
26547.08
27125.76
26831.39
26887.47
27170.05
27940.69
28202.85
27818.64
27101.88
26947.00
27632.65
(use d=17 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
37.70
1218.94
area segment
408026.59
45954.14
453980.738
33.17
R4U16WAL.WK4
J-327
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT D, USI 16pt AUTOPROBE, STANDARD
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
23.2
25.6
27.0
29.1
30.3
32.3
33.0
33.0
33.0
34.8
33.8
34.7
35.1
35.0
34.1
35.4
35.4
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
11.60
24.40
26,30
28.05
29.70
31.30
32.65
33.00
33.00
33.90
34.30
34.25
34.90
35.05
34.55
34.75
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
9584.37
20006.91
21399.58
22647.26
23792.84
24877.95
25745,81
25814.46
25607.11
26092.49
26184.85
25931.48
26204.33
26096.73
25507.37
25436.68
line 2)
line 3)
line 4)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
380930.21
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.40
1218.94
43150.58
line 5a)
line 5b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 424080.786
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 30.99
R4U16WAL.WK4
1-328
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT A, USI 16pt AUTOPROBE, yaw nulled
Stack Area:
radius:
54,739.1 sq. in.
132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
25.1
27.4
29.6
30.2
31.2
31.9
32.2
31.9
33.0
33.3
33.7
33.2
35.3
34.3
35.5
35.4
35.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
12.55
26.25
28.50
29.90
30.70
31.55
32.05
32.05
32.45
33.15
33.50
33.45
34.25
34.80
34.90
35.45
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005,27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(co! D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
10369.29
21523.83
23189.66
24140.93
24593.95
25076.65
25272.69
25071.31
25180.33
25515.22
25574.13
25325.78
25716.28
25910.59
25765.76
25949.07
(use d=17 for drem)
line 3) Total near-wall volumetric flow (total of column G)
line 4)
line 5a)
line 5b)
384175.47
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
35.70
1218.94
43516.26
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 4276i1.733
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 31.25
R4Y16WALWK4
J-329
11/02/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT B, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
radius: 132 in
pi =
3.14159
(A) (B)
Distance Axial vel.
from wall V-d
(inches) , ft/sec
d= 1 23.5
d= 2 28.3
d= 3 29.9
d= 4 32.7
d= 5 32.1
d= 6 32.8
d= 7 33.3
d= 8 34.8
d= 9 33.6
d= 10 34.5
d= 11 36.2
d= 12 37.0
d= 13 37.1
d= 14 37.1
d= 15 38.0
d= 16 38.0
drem 16.8 35.9
(used=17fordrem)
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
11.75
25.90
29.10
31.30
32.40
32.45
33.05
34.05
34.20
34.05
35.35
36.60
37.05
37.10
37.55
38.00
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
826.24 9708.30
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
21236.84
23677.86
25271.27
25955.83
25791.99
26061.23
26635.83
26538.28
26207.94
26986.43
27710.72
27818.64
27623.07
27722.19
27815.65
Total near-wall volumetric flow (total of column G) 402762.07
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 35.90
b) Total area in remainder segment 1218.94
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 43760.05
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 446522.119
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 32.63
line 3)
line 4)
line 5a)
line 5b)
R4Y16WAL.WK4
J-330
11/02/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT C, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
26.9
28.9
31.4
31.8
32.8
33.1
34.3
35.0
34.5
35.9
37.2
37.6
36.5
37.1
36.0
37.5
37.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
13.45
27.90
30.15
31.60
32.30
32.95
33.70
34.65
34.75
35.20
36.55
37.40
37.05
36.80
36.55
36.75
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
11112.91
22876.75
24532.22
25513.49
25875.72
26189.41
26573.78
27105.18
26965.06
27093.08
27902.52
28316.42
27818.64
27399.70
26983.91
26900.66
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
409159.45
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
37.50
1218.94
45710.36
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
454869.807
33.24
R4Y16WAL.WK4
J-331
11/02/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at Allegheny, Mitchell Station
Wall Effects Run 4
PORT D, USI 16pt AUTOPROBE, yaw nulled
Stack Area: 54,739.1 sq. in.
line 1) radius: 132 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
d= 15
d= 16
drem 16.8
(B)
Axial vel.
V-d
ft/sec
22.5
25.5
28.4
29.9
31.8
32.2
32.4
33.0
34.2
33.8
34.2
35.0
35.1
34.5
34.9
34.7
34.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.25
24.00
26.95
29.15
30.85
32.00
32.30
32.70
33.60
34.00
34.00
34.60
35.05
34.80
34.70
34.80
Intern
calcu
pi(r-d+1)A2
54739.11
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
lediate
lations
pi(r-d)A2
53912.87
53092.92
52279.24
51471.86
50670.75
49875.93
49087.39
48305.13
47529.16
46759.47
45996.06
45238.94
44488.10
43743.54
43005.27
42273.28
Area of
segment
(col D - E)
826.24
819.96
813.67
807.39
801.11
794.82
788.54
782.26
775.97
769.69
763.41
757.12
750.84
744.56
738.27
731.99
Vol. flow
in segment
(col C X F)
9295.18
19678.93
21928.46
23535.39
24714.11
25434.32
25469.82
25579.78
26072.70
26169.46
25955.83
26196.47
26316.95
25910.59
25618.11
25473.28
line 3)
(use d=17 for drem)
Total near-wall volumetric flow (total of column G)
383349.39
line 4)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
34.90
1218.94
42541.10
line 5a)
line 5b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 425890.497
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 31.12
R4Y16WAL.WK4
J-332
11/02/98
-------
ATTACHMENT F.
Titus Station
Wall Effects Calculation Forms
J-333
-------
This Page Intentionally Left Blank
J-334
-------
line 1)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 3
PORT A, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904,1 sq. in.
83.5002 in
pi =
3.14159
line 2)
line 3)
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
^JB)
Axial vel.
V-d
ft/sec
18.4
18.4
18.4
21.8
24.2
26.2
26.8
28.5
29.2
30.0
31.5
31.4
31.8
32.6
33.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.20
18.40
18.40
20.10
23.00
25.20
26.50
27.65
28.85
29.60
30.75
31.45
31.60
32.20
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
4797.85
9480.09
9364.48
10103.38
11416.57
12350.25
12820.87
13203.51
13595.27
13762.72
14104.21
14227.68
14096.99
14162.33
(use d=15 for drem)
Total near-wall volumetric flow (total of column G) 167486.21
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16 33.00
b) Total area in remainder segment 571 .98
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 18875.27
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 186361.477
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 25.52
RUN3U12P.WK4
J-335
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 3
PORT B, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
15.3
15.3
15.3
22.2
24.3
25.7
27.8
27.1
29.1
29.5
30.7
31.0
31.9
31.3
32.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.65
15.30
15.30
18.75
23.25
25.00
26.75
27.45
28.10
29.30
30.10
30,85
31.45
31.60
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
3989.52
7882.90
7786.77
9424.80
11540.66
12252.24
12941.82
13108.01
13241.84
13623.23
13806.07
13956.24
14030.07
13898.44
line 3)
line 4)
line 5a)
line 5b)
(use d=15fordrem)
Total near-wall volumetric flow (total of column G)
161482.61
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
32.30
571.98
18474.89
Wall-effect adjusted velocity In the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 179957.497
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 24.65
RUN3U12P.WK4
11/04/98
J-336
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 3
PORT C, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
13.7
13.7
13.7
22.5
25.2
26.8
28.7
29.6
30.2
31.0
32.5
32.6
32.6
33.8
33.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.85
13.70,
13.70
18.10
23.85
26.00
27.75
29.15
29.90
30.60
31.75
32.55
32.60
33.20
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
3572.31
7058.54
6972.46
9098.07
11838.49
12742.33
13425.62
13919.80
14090.07
14227.68
14562.89
14725.31
14543.09
14602.16
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
165378.82
Volumetric flow in remainder of the Method 1 near-wall equal area segment
**\ fiviol wal/i^i+w *it /-Irarvi (rl 4fi O
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall, Effects Run 3
PORTD, USI 12ptAUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
20.6
20.6
20.6
23.6
25.6
26.1
27.4
28.4
28.3
29.1
29.6
30.6
30.4
32.0
32.1
Decay vel.
avg of d, d-1
10.30
20.60
20.60
22.10
24.60
25.85
26.75
27.90
28.35
28.70
29.35
30.10
30.50
31.20
Intern
caicu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436,72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
5371.51
10613.58
10484.14
11108.69
12210.77
12668.81
12941.82
13322.89
13359.65
13344.26
13462.07
13616.95
13606.27
13722.51
(use d=15 for drem)
line 3) (Total near-wall volumetric flow (total of column G)
169833.92
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
32.10
571.98
18360.49
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 188194.413
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 25.78
RUN3U12P.WK4
J-338
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 3
PORT A, US! 12pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5002 in
p,=
3.14159
line 2)
line 3)
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
Axial vel.
V-d
ft/sec
18,1
18.1
18.1
22.6
24.5
25.3
27.3
28.6
29.4
29.5
31.2
31.5
31.8
32.1
32.8
(used=15fordrem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.05
18.10
18.10
20.35
23.55
24.90
26.30
27.95
29.00
29.45
30.35
31.35
31.65
31.95
Intermediate
calculations
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
4719.62
9325.52
9211.80
10229.05
11689.58
12203.23
12724.11
13346.77
13665.96
13692.98
13920,74
14182.44
14119.29
14052.38
Total near-wall volumetric flow (total of column G) 167083.45
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=1 6 32.80
b) Total area in remainder segment 571 ,98
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18760.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 85844.328
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 25.45
line 4)
line 5a)
line 5b)
RUN3Y12P.WK4
1-339
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 3
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
__JA)_^
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
14.6
14.6
14.6
22.2
23.9
25.1
25.3
27.6
27.6
28.6
30.0
30.5
30.5
31.1
31.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.30
14.60
14.60
18.40
23.05
24.50
25.20
26.45
27.60
28.10
29.30
30.25
30.50
30.80
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436,72
16971.76
16513.09
16060.70
15614.59
I
lediate
lations
_pj(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)^
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
3806.99
7522.24
7430.51
9248.87
11441.39
12007.19
12191.92
12630.49
13006.22
13065.28
13439.14
13684.81
13606.27
13546.58
(use d=15 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
156627.90
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
31.00
571.98
17731.31
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
174359.212
23.88
RUN3Y12P.WK4
J-340
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 3
PORTC, US! 12ptAUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904,1 sq. in.
83.5002 in
pi =
3.14159
I (A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
.d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
22.1
25.1
26.5
27.6
29.5
29.9
31.0
32.1
32.1
33.2
33.8
33.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
13.20
13.20
17.65
23.60
25.80
27.05
28.55
29.70
30.45
31.55
32.10
32.65
33.50
Intern
calcu
pi(r-d+1)A2
21904,07
21382.56
20867.34
20358.40
19855,75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
Area of
segment
(col D - E)
521.51
515.22
20358.40 508.94
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
I
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
3441.94
6800.93
6717.99
8871.88
11714.39
12644.31
13086.96
13633.28
13995.83
14157.93
14471.15
14521.73
14565.40
14734.10
(use d=15 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
1633S7.83
segment
33.60
571.98
19218.46
segment
182576.29
25.01
RUN3Y12P.WK4
J-341
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 3
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5002 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
20.3
20.3
20.3
23.6
24.6
26.7
27.5
28.9
28.0
28.9
30.2
29.9
30.4
30.9
30.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.15
20.30
20.30
21.95
24.10
25.65
27.10
28.20
28.45
28.45
29.55
30.05
30.15
30.65
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471 .24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
5293.28
10459.01
10331.46
11033.30
11962.58
12570.79
13111.15
13466.15
13406.78
13228.02
13553.80
13594.33
13450.13
13480.61
(use d=15 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
168941.39
area segment
30.80
571.98
17616.92
area segment
186558.313
25.55
RUN3Y12P.WK4
J-342
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORT A, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
19.7
19.7
19.7
21.3
23.8
26.5
27.9
26.2
28.1
29.9
28.7
29.1
28.9
28.9
30.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.85
19.70
19.70
20.50
22.55
25.15
27.20
27.05
27.15
29.00
29.30
28.90
29.00
28.90
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971,76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
5136.83
10149.88
10026.10
10304.44
11193.20
12325.75
13159.53
12917.00
12794.16
13483.75
13439.14
13074.08
12937.11
12710.91
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
163651.88
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
30.40
571.98
17388.13
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 181040.011
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 24.80
RUN6U12P.WK4
J-343
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORT B, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
_JB)
Axial vel.
V-d
ft/see
16.0
16.0
16.0
21.9
24.3
26.1
26.8
26.6
26.7
29.3
28.1
27.8
27.8
28.3
29.2
(C) (D) (E) (F) (G) 1
Decay vel.
avg ofd, d-1
8.00
16.00
16.00
18.95
23.10
25.20
26.45
26.70
26.65
28.00
28.70
27.95
27.80
28.05
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
4172.04
8243.55
8143.02
9525.33
11466.21
12350.25
12796.68
12749.87
12558.54
13018.79
13163.93
12644.31
12401.78
12337.06
line 3)
(use d=15 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
155571.38
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
29.20
571.98
16701.75
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 172273.13
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 23.59
RUN6U12P.WK4
J-344
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORTC, USI 12pt AUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
__JA)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
14.2
14.2
14.2
21.5
24.2
27.3
28.4
27.5
28.7
30.5
29.7
29.4
29.6
29.6
30.1
(C) (D) (E) (F)
Decay vel.
avg ofd, d-1
7.10
14.20
14.20
17.85
22.85
25.75
27.85
27.95
28.10
29.60
30.10
29.55
29.50
29.60
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060,70
15614.59
15174.76
Area of
segment
(col D - E) .
521.51
515.22
508.94
Vol. flow
in segment
(col C X F)
3702.69
7316.16
7226.93
502.66 8972.41
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
11342.11
12619.80
13474.01
13346.77
13241.84
13762.72
13806.07
13368.14
13160.16
13018.79
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
158358.60
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
30.10
571.98
17216.53
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 175575.139
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 24.05
RUN6U12P.WK4
J-345
11/04/98
-------
linel)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORT D..USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5002 in
p, =
3.14159
(A) (B) (C) (D) (E) (F) (G)
Distance Axial vel.
from wall V-d
(inches) ft/sec
d= 1 22.9
d= 2 22.9
d= 3 22.9
d= 4 22.5
d= 5 25.3
d= 6 25.9
d= 7 27.3
d= 8 25.6
d= 9 26.6
d= 10 28.2
d= 11 28.1
d= 12 27.6
d= 13 27.2
d= 14 26.8
drem 14.7 28.7
Decay vel.
avg of d, d-1
11.45
22.90
22.90
22.70
23.90
25.60
26.60
26.45
26.10
27.40
28.15
27.85
27.40
27.00
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
5971.24
11798.59
11654.70
11410.29
11863.31
12546.29
12869.25
12630.49
12299.36
12739.81
12911.66
12599.07
12223.34
11875.25
(used=15fordrem)
Totai near-wall volumetric flow (total of column G) 1 65392.64
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=1 6 28.70
b) Total area in remainder segment 571 .98
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16415.77
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 181808.407
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 24.90
line 3)
line 4)
line 5a)
line 5b)
RUN6U12P.WK4
J-346
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORT A, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq, in.
radius: 83.5002 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
Axial vel.
V-d
ft/sec
. 20.1
20,1
20.1
21.0
24.6
26.5
27.3
25.7
27.5
30.0
29.0
28.5
28.3
28.1
29.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.05
20.10
20.10
20.55
22.80
25.55
26.90
26.50
26.60
28.75
29.50
28.75
28.40
28.20
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
5241.13
10355.97
10229.67
10329.58
11317.30
12521.79
13014.39
12654.36
12534.98
13367.51
13530.87
13006.22
12669.44
12403.04
(use d=15 for drem)
line 3) ITotal near-wall volumetric flow (total of column G)
163176.24
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drern (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
29.70
571.98
16987.74
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 180163.988
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 24.68
RUN6Y12P.WK4
J-347
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq, in.
83.5002 in
pi
3.14159
(A) (B)
Distance Axial vel.
from wall V-d
(inches) ft/sec
d= 1 15.8
d= 2 15.8
d= 3 15.8
d= 4 20.7
d= 5 23.8
d= 6 25.8
d= 7 26.6
d= 8 25.6
d= 9 26.8
d= 10 28.5
d= 11 27.3
d= 12 26.6
d= 13 27.5
d= 14 28.3
drem 14.7 28.9
(used=15fordrem)
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.90
15.80
15.80
18.25
22.25
24.80
26.20
26.10
26.20
27.65
27.90
26.95
27.05
27.90
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col G X F)
4119.89
8140.51
8041.24
9173.47
11044.29
12154.22
12675.72
12463.35
12346.49
12856.05
12796.99
12191.92
12067.20
12271.09
Total near-wall volumetric flow (total of column G) 152342.44
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=1 6 28.90
b) Total area in remainder segment 571 .98
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16530.16
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 168872.601
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V, 23.13
line 3)
line 4)
line 5a)
line 5b)
RUN6Y12P.WK4
J-348
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORTC, USI 12pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5002 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
14.3
14.3
14.3
21.3
25.5
27.5
28.8
27.7
28.1
30.6
29.4
29.4
29.6
29.5
31.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.15
14.30
14.30
17.80
23.40
26.50
28.15
28.25
27.90
29.35
30.00
29.40
29.50
29.55
Intern
calcu
pi(r-d+1)A2
21904,07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
nediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
Vol. flow
in segment
(col C X F)
3728.76
7367.68
7277.83
8947.27
11615.12
12987.37
13619.15
477.52 13490.03
471.24
464.96
458.67
452.39
446.11
439.82
13147.59
13646,48
13760.21
13300.28
13160.16
12996.80
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
159044.73
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
31.30
571.98
17902.91
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 176947.637
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 24.24
RUN6Y12P.WK4
J-349
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 6
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
22.0
22.0
22.0
. 22.5
25.8
26.7
27.1
26.8
26.5
28.5
27.1
26.9
28.5
27.6
28.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.00
22.00
22.00
22.25
24.15
26.25
26.90
26.95
26.65
27.50
27.80
27.00
27.70
28.05
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
nediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
Vol. flow
in segment
(col C X F)
5736.56
11334.89
11196.66
11184.09
11987.40
12864.85
13014.39
12869.25
12558.54
12786.31
12751.13
12214.54
12357.17
439.82 12337.06
I
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
165192.84
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
28.10
571.98
16072.58
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 181265.4t5
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 24.83
RUN6Y12P.WK4
J-350
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 9
PORT A, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
16.2
16.2
16.2
20.1
21.6
23.0
24.1
25.7
28.6
28.4
30.9
31.2
30.6
32.1
32.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.10
16.20
16.20
18.15
20.85
22.30
23.55
24.90
27.15
28.50
29.65
31.05
30.90
31.35
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867,34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521,51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
4224.19
8346.60
8244.81
9123.20
10349.37
10929.00
11393.64
11890.33
12794.16
13251.27
13599.67
14046.72
13784.71
13788.48
line 3)
(use d=15 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
155766.16
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
32.40
571.98
18532.08
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
174298.24
23.87
RUN9U12P.WK4
J-351
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 9
PORT B, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
13.8
13.8
13.8
19.9
21.7
23.2
24.1
25.3
26.1
27.0
29.4
30.3
29.5
31.3
30.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.90
13.80
13.80
16.85
20.80
22.45
23.65
24.70
25.70
26.55
28.20
29.85
29.90
30.40
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
3598.39
7110.07
7023.36
8469.75
10324.55
11002.51
11442.02
11794.82
12110.87
12344.60
12934.59
13503.85
13338.61
13370.65
line 2)
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
148368.63
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
30.60
571.98
17502.52
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 165871.156
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 22.72
RUN9U12P.WK4
J-352
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Run 9
PORTC, USI 12ptAUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5002 in
pi =
3.14159
(use d=15 for drem)
(A)
Distance
from wall
(inches) .
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
11.5
11.5
11.5
20.0
22.7
24.3
25.3
27.4
28.1
28.3
31.4
31.6
31.2
33.7
32.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.75
11.50
11.50
15.75
21.35
23.50
24.80
26.35
27.75
28.20
29.85
31.50
31.40
32.45
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(co! D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
_{col C X F)
2998.66
5925.06
5852.80
7916.83
10597.56
11517.10
11998.40
12582.73
13076.91
13111.78
13691.41
14250.30
14007.77
14272.29
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
area segment
32.60
571.98
area segment
151799.57
I
18646.48
170446.054
23.34
RUN9U12P.WK4
11/04/98
J-353
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 9
PORT D, USI 12pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in -
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
19.0
19.0
19.0
20.4
22.5
23.6
23.9
26.4
26.6
26.8
29.8
30.4
29.3
32.1
29.9
Decay vel.
avg ofd, d-1
9.50
19.00
19.00
19.70
21.45
23.05
23.75
25.15
26.50
26.70
28.30
30.10
29.85
30.70
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
4954.30
9789.22
9669.84
9902.32
10647.19
11296.56
11490.40
12009.71
12487.86
12414.35
12980.46
13616.95
13316.30
13502.60
line 3)
(use d=15for drem)
Total near-wall volumetric flow (total of column G)
158078.06
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
29.90
571.98
17102.14
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 175180.197
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 23.99
RUN9U12P.WK4
J-354
11/04/98
-------
Form for calculating Replacement Near-Wail Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 9
PORT A, USI 12pt AUTOPROBE, YAW-NULLED
line 1)
line 2)
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14,7
Axial vel.
V-d
ft/sec
16.4
16.4
16.4
19.8
21.4
23.1
24.1
26.6
27.4
28.1
31.2
30.9
30.1
32.3
31.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.20
16.40
16.40
18.10
20.60
22.25
23.60
25.35
27.00
27.75
29.65
31.05
30.50
31.20
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
4276.34
8449.64
8346.60
9098.07
10225.28
10904.49
11417.83
12105.21
12723.48
12902.55
13599.67
14046.72
13606.27
13722.51
line 3)
line 4)
line 5a)
line 5b)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
155424.66
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col
Multiply a) by b)
31.50
571.98
18017.30
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 173441.968
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 23.75
RUN9Y12P.WK4
J-355
11/04/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 9
PORT B, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5002 in
pi =
3.14159
(A)
Distance
from wail
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
19.9
21.5
23.2
24.2
25.2
26.4
26.9
29.4
28.8
28.6
30.6
30.2
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
6.60
13.20
13.20
16.55
20.70
22.35
23.70
24.70
25.80
26.65
28.15
29.10
28.70
29.60
Intern
calcu
pi(r-d+1)A2j
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52 '
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
3441.94
6800.93
6717.99
8318.95
10274.91
10953.50
11466.21
11794.82
12157.99
12391.10
12911.66
13164.56
12803.28
13018.79
I
(use d=15 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V.
146216.64
area segment I
30.20
571.98
17273.73
area segment
163490.369
22.39
RUN9Y12P.WK4
J-356
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 9
PORTC, USl 12pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5002 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
11.4
11.4
11.4
20.2
22.0
24.2
25.0
27.2
28.3
29.1
32.0
31.8
30.8
33.0
32.9
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
5.70
11.40
11.40
15.80
21.10
23.10
24.60
26.10
27.75
28.70
30.55
31.90
31.30
31.90
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
lations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
. (col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
Vol. flow
in segment
(col C X F)
2972.58
5873.53
5801.90
7941,96
10473.46
11321.07
11901.63
12463.35
13076.91
13344.26
14012.48
14431.25
13963.16
14030.39
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
151607.94
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
32.90
571.98
18818.07
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 170426.01
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 23.34
RUN9Y12P.WK4
J-357
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 12-point
Traverse at GPU Titus
Wall Effects Run 9
PORT D, USI 12pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5002 in
pi
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
d= 11
d= 12
d= 13
d= 14
drem 14.7
(B)
Axial vel.
V-d
ft/sec
18.1
18.1
18.1
20,8
22.8
23.1
24.2
24.5
27.0
26.9
29.4
29.8
28.9
30.3
29.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.05
18.10
18.10
19.45
21.80
22.95
23.65
24.35
25.75
26.95
28.15
29.60
29.35
29.60
Intern
calcu
pi(r-d+1)A2
21904.07
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
lediate
iations
pi(r-d)A2
21382.56
20867.34
20358.40
19855.75
19359.37
18869.29
18385.48
17907.96
17436.72
16971.76
16513.09
16060.70
15614.59
15174.76
Area of
segment
(col D - E)
521.51
Vol. flow
in segment
(col C X F)
4719.62
515.22 9325.52
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
458.67
452.39
446.11
439.82
9211.80
9776.66
10820.92
11247.55
11442.02
11627.69
12134.43
12530.58
12911.66
13390.76
13093.25
13018.79
line 3)
(use d=15 for drem)
Total near-wall volumetric flow (total of column G)
155251.25
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (d=16
b) Total area in remainder segment
Subtract 2/3 pi rA2 from last entry in item 2, col E
Multiply a) by b)
29.80
571.98
17044.94
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 172296.188
b) Divide line a) by 1/3*pi*rA2
This is the substitute velocity value, V. 23.60
RUN9Y12P.WK4
J-358
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line/I)
line 2)
line 3)
Wall Effects Run 1
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
17.4
17.4
17.4
20.9
23,9
25.8
27.3
28.1
29.9
29.8
30.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.70
17.40
17.40
19.15
22.40
24.85
26.55
27.70
29.00
29.85
Intermediate
calculations
pi(r-d+1)A2l pi(r-d)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4537.10
8964.87
8855.54
9625.87
11118.76
12178.73
12845.07
13227.40
13665.97
13878.97
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 108898.27
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 30.80
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16746.29
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 125644.569
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.94
N1U16P.WK4
J-359
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 1
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP ,
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
16.6
16.6
16,6
23.0
24.1
26.0
27.4
28.1
29.0
29.2
29.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.30
16.60
16.60
19.80
23.55
25.05
26.70
27.75
28.55
29.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907,98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4328.50
8552.69
8448.39
9952.59
11689.58
12276.75
12917.64
13251.28
13453.91
13530.25
I .... .. _
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 108401.59
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1 ) 29.60
b) Total area in remainder segment . 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16093.84
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 124495.429
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.73
N1U16P.WK4
J-360
11/05/98
-------
-line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 1
PORTC, USI 16pt AUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
pi
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
14.1
14.1
14.1
22.0
24.4
26.4
27.3
29.0
29.8
30.4
31.2
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
7.05
14.10
14.10
18.05
23.20
25.40
26.85
28.15
29.40
30.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3676.62
7264.64
7176.05
9072.94
11515.85
12448.28
12990.21
13442.29
13854.46
13995.21
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 105436.55
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 31 .20
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16963.78
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 122400.323
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.35
N1U16P.WK4
J-361
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 1
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A) (B) (C) (D) (E) (F) (G)
Distance Axial vel.
from wall V-d
(Inches) ft/sec
d= 1 19.7
d= 2 19.7
d= 3 19.7
d= 4 23.1
d= 5 25.5
d= 6 25.6
d= 7 27.3
d= 8 28.2
d= 9 29.5
d= 10 29.2
drem 10.6 29.4
Decay vei.
avg of d, d-1
9.85
19.70
19.70
21.40
24.30
25.55
26.45
27.75
28.85
29.35
Intern
calcu
pi(r~d+1)A2
21904.10
21382.59
20867.37
20358.43
19855J8
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(colCXF)
5136.83
10149.88
10026.11
10756.84
12061.86
12521.80
12796.69
13251.28
13595.28
13646.49
(used=11 for drem)
Total near-wall volumetric flow (total of column G) 1 13943.06
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 29.40
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15985.10
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 129928.157
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 23.73
N1U16P.WK4
J-362
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 1
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
ft/sec
17.4
17.4
17.4
21.8
24.3
25.3
26.9
29.0
29.3
29.9
30.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.70
17.40
17.40
19.60
23.05
24.80
26.10
27.95
29.15
29.60
Intern
calcu
pi(r-d-H)A2
21904.10
21382,59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4537.10
8964.87
8855.54
9852.06
11441.40
12154.23
12627.35
13346.78
13736.65
13762.73
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
30.30
543.71
area segment
109278.72
16474.44
125753.161
22.96
line 3)
line 4)
line 5a)
line 5b)
N1Y16P.WK4
J-363
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 1
PORT B, USI 18pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904,1 sq. in,
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
16.1
16.1
16.1
21.4
23.7
25.6
26.6
27.0
27.4
28.0
29.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8,05
16.10
16.10
18.75
22.55
24.65
26.10
26.80
27.20
27.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867,37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4198.12
8295.08
8193.92
9424.80
11193.21
12080.71
12627,35
12797.63
12817.74
12879.31
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
29.20
543.71
area segment
104507.89
15876.36
120384.243
21.98
line 4)
line 5a)
line 5b)
N1Y16P.WK4
11/05/98
J-364
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 2)
Wall Effects Run 1
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
__JA)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
13.6
13.6
13.6
21.9
25.4
26.6
28.3
28.9
29.7
31.0
32.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.80
13.60
13.60
17.75
23.65
26.00
27.45
28.60
29.30
30.35
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
I
Vol. flow
in segment
(col C X F)
3546.24
7007.03
6921.58
8922.15
11739.22
12742.34
13280.49
13657.17
13807.34
14111.45
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This Is the substitute velocity value, V.
segment
32.10
543.71
segment
105735.00
17453.12
123188.115
22.50
line 4)
Iine5a)
line 5b)
N1Y16P.WK4
J-365
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 1
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904,1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
20.0
20.0
20.0
22.6
24.6
26,3
27.2
27.9
28.5
28.6
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.00
20.00
20.00
2130
23.60
25.45
26.75
27.55
28.20
28.55
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5215.06
10304.45
10178.79
10706.58
11714.40
12472.79
12941.83
13155.77
13288.98
13274.53
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
29.40
543.71
area segment
113253.16
15985.10
129238.261
23.60
line 4)
line 5a)
line 5b)
N1Y16P.WK4
J-366
11/05/98
-------
GPU Titus, Wai! Effects Run 1
Autoprobe, 16pt, yaw-nulled
Substitute Substitute pasted values
Contractor Test Port Traverse point Axial velocity to be copied to weadj file
USI-AP A 4 23.0 23.0
USI-AP B 8 22.0 22.0
USI-AP C 12 22.5 22.5
USI-AP D 16 23.6 23.6
N1Y16P.WK4 11/05/98
J-367
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Run 2
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
19.2
19.2
19.2
23.0
23.1
23.8
25.2
26.3
27.5
27.3
28.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.60
19.20
19.20
21.10
23.05
23.45
24.50
25.75
26.90
27.40
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
.5006.45
9892.27
9771.64
10606.05
11441.40
11492.61
11853.26
12296.23
12676.36
12739.82
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
28.50
543.71
area segment
107776.09
15495.76
123271.853
22.51
line 4)
line 5a)
line 5b)
N2U16P.WK4
J-368
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 2
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d ______ f*
c.
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
17.9
17.9
17.9
23.4
23.3
24.0
25.0
26.0
27.0
26.9
28.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.95
17.90
17.90
20.65
23.35
23.65
24.50
25.50
26.50
26.95
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
, pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 4667.48
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
9222.48 I
9110.01
10379.85
11590.31
11590.62
11853.26
12176.85
12487.87
464.96 12530.59
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axia! velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
105609.33
area segment
28.00
543.71
15223.90
area segment
120833.235
22.07
line 4)
line 5a)j
line 5b)
N2U16P.WK4
J-369
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Run 2
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
14.3
14.3
14.3
22.6
24.1
24.4
25.4
26.3
27.9
28.3
28.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.15
14.30
14.30
18.45
23.35
24.25
24.90
25.85
27.10
28.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3728.77
7367.68
7277.83
9274.01
11590.31
11884.68
12046.79
12343.98
12770.61
13065.29
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
28.90
543.71
area segment
101349.95
15713.24
117063.193
21.38
line 4)
line 5a)
line 5b)
N2U16P.WK4
J-370
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 2
PORTD, USI 16ptAUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
^JA)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G) !
Axial vet.
V-d
ft/sec
21.4
21.4
21.4
23.2
23.9
24.5
24.8
25.7
26.0
26.8
28.0
(used=11 for drem)
Decay vel.
avg of d, d-1
10.70
21.40
21.40
22.30
23.55
24.20
24.65
25.25
25.85
26.40
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5580.11
11025.76
10891.30
11209.23
11689.58
11860.17
11925.83
12057.47
12181.56
12274.87
I
Total near-wall volumetric flow (total of column G) 1 10695.90
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 28.00
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15223.90
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 125919.801
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.99
N2U16P.WK4
J-371
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 2
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in,
radius: 83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A) (B) (C) (D) (E) (F) (G)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel. Decay vel.
V-d
ft/sec avg of d, d-1
19.0 9.50
19.0 19.00
19.0 19.00
22.8 20.90
23.1 22.95
23.7 23.40
25.0 24.35
25.8 25.40
27.1 26.45
27.5 27,30
27.4
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4954,30
9789.23
9669.85
10505.51
11391.76
11468.10
11780.69
12129.10
12464.31
12693.33
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 1 06846.1 8
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=11 ) 27.40
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 14897.68
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 121743.857
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.23
N2Y16P.WK4
J-372
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 2
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 2)
line 3)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
17.6
17.6
17.6
22.9
23.4
23.2
24.7
25.0
25.1
26.8
26.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.80
17.60
17.60
20.25
23.15
23.30
23.95
24.85
25.05
25.95
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4589.25
9067.92
8957.33
10178.79
11491.04
11419.09
11587.17
11866.46
11804.57
12065.64
i
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
26.20
543.71
area segment
103027.25
14245.22
117272,473
21.42
line 4)
line 5a)
line 5b)
N2Y16P.WK4
J-373
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 2
PORTC, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
__(AJL_
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
14.6
14.6
14.6
22,9
24.4
24.8
25.8
26.7
28.2
28.5
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.30
14.60
14.60
18.75
23.65
24.60
25.30
26.25
27.45
28.35
Intern
calcu
pi(r-d+1)A2
21904,10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-dJA2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3806.99
7522.25
7430.51
9424.80
11739.22
12056.21
12240.31
12534.99
12935.55
13181.53
I
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
29.40
543.71
area segment
102872.37
15985.10
118857.468
21.71
line 3)
line 4)
line 5a)
line 5b)
N2Y16P.WK4
J-374
11/05/98
-------
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 2
PORT D, US! 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
21.6
21.6
21.6
24,6
23.4
23.7
24.5
25.9
26.9
27.0
25.5
(C) (D) (E) (F) (G)
Decay vel.
avg old, d-1
10.80
21.60
21.60
23.10
24.00
23.55
24.10
25.20
26.40
26.95
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907,98
17436.74
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
i
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5632.26
11128.81
10993.09
11611.36
11912.95
11541.62
11659.74
12033.59
12440.74
12530.59
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wail equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
111484.75
segment
25.50
543.71
13864.63
segment
125349.38
22.89
line 4)
line 5a)
line 5b)
N2Y16P.WK4
J-375
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 3
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi*
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vet.
V-d
ft/sec
. 18.4
18.4
18.4
21.8
24.2
26.2
26.8
28.5
29.2
30.0
31.5
(C) (D) (E) (F) ' (G)
Decay vel.
avg of d, d-1
9.20
18.40
18.40
20.10
23.00
25.20
26.50
27.65
28.85
29.60
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
21904.10
21382.59
20867.37
20358,43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4797.85
9480.09
9364.48
10103.39
11416.58
12350.26
12820.88
13203.52
13595.28
13762.73
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
31.50
543.71
segment
110895.08
17126.89
128021.968
23.38
line 4)
line 5a)
line 5b)
RUN3U16P.WK4
J-376
11/04/98
-------
line 1)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 3
PORT B, USl 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
15.3
15.3
15.3
22.2
24.3
25.7
27.8
27.1
29.1
29.5
30.7
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
7.65
15.30
15.30
18.75
23.25
25.00
26.75
27.45
28.10
29.30
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3989.52
7882.90
7786.77
9424.80
11540.67
12252.25
12941.83
13108.02
13241.85
13623.24
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
30.70
543.71
segment
105791.86
16691.92
122483.783
22.37
RUN3U16P.WK4
J-377
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 3
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
_^JB)
Axial vel.
V-d
ft/sec
13,7
13.7
13.7
22.5
25.2
26.8
28.7
29.6
30.2
31.0
32.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.85
13.70
13.70
18.10
23.85
26.00
27.75
29.15
29.90
30.60
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3572.31
7058.55
6972.47
9098.08
11838.50
12742.34
13425.63
13919.81
14090.08
14227.69
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
106945.46
area segment
32.50
543.71
17670.60
area segment
124616.059
22.76
RUN3U16P.WK4
J-378
11/04/98
-------
Form for calculating Replacement Near-Wai! Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 3
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
20.6
20.6
20.6
23.6
25.6
26.1
27.4
28.4
28.3
29.1
29.6
Decay vel.
avg of d, d-1
10.30
20.60
20.60
22.10
24.60
25.85
26.75
27.90
28.35
28,70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
Vol. flow
in segment
(col C X F)
5371.51
10613.58
10484.15
11108.70
12210.78
12668.82
483.81 12941.83
477.52
471.24
464.96
13322.90
13359.66
13344.27
line 3)
(use d=11 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
29.60
543.71
area segment
115426.21
16093.84
131520.048
24.02
RUN3U16P.WK4
J-379
11/04/98
-------
line 1)
line 2}
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 3
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
pi
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
ft/sec
18.1
18.1
18.1
22.6
24.5
25.3
27.3
28.6
29.4
29.5
31.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.05
18.10
18.10
20.35
23.55
24.90
26.30
27.95
29.00
29.45
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59 j
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
I
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4719.63
9325.53
9211.80
10229.05
11689.58
12203.24
12724.11
13346.78
13665.97
13692.99
line 3)
(use vel. at d=11for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
110808.68
area segment
31.20
543.71
16963.78
area segment
127772.461
23.33
line 4)
line 5a)
line 5b)
RUN3Y16P.WK4
J-380
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wai! Effects Run 3
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
linel) radius: 83.5003 in
pi
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(1L_
Axial vel.
V-d
ft/sec
14.6
14.6
14.6
22.2
23.9
25.1
25.3
27.6
27.6
28.6
30.0
(C) (D) (E) (F) (G) I
Decay vel.
avg of d, d-1
7.30
14.60
14.60
18.40
23.05
24.50
25.20
26.45
27.60
28.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(co! D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3806.99
7522.25
7430.51
9248.87
11441.40
12007.20
12191.93
12630.50
13006.23
13065.29
line 3)
line 4)
line 5a)
line 5b)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
30.00
543.71
segment
102351.18
16311.33
118662.503
21.67
RUN3Y16P.WK4
J-381
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Run 3
PORT C, US! 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
22.1
25.1
26.5
27.6
29.5
29.9
31.0
32.1
(C) (D) (E) (F) (G)
Decay vel,
avg of d, d-1
6.60
13.20
13.20
17.65
23.60
25.80
27.05
28.55
29.70
30.45
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3441.94
6800.94
6718.00
8871.88
11714.40
12644.32
13086.97
13633.29
13995.84
14157.94
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
32.10
543.71
area segment
105065.52
17453.12
122518.64
22.37
RUN3Y16P.WK4
11/04/98
J-382
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Run 3
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
20.3
20.3
20.3
23.6
24.6
26.7
27.5
28.9
28.0
28.9
30.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.15
20.30
20.30
21.95
24.10
25,65
27.10
28.20
28.45
28.45
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5293.28
10459.02
10331.47
11033.30
11962.59
12570.80
13111.16
13466.16
13406.79
13228.03
I I
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
30.20
543.71
area segment
114862.60
16420.07
131282.672
23.97
line 4)
line 5a)
line 5b)
RUN3Y16P.WK4
J-383
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
19.7
19.7
19.7
21.3
23.8
26.5
27.9
26.2
28.1
29.9
28.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9,85
19.70
19.70
20.50
22.55
25.15
27.20
27.05
27.15
29.00
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
nediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496,37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5136.83
10149.88
10026.11
10304.45
11193.21
12325.76
13159.54
12917.01
12794.17
13483.76
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
111490.72
area segment
28.70
543.71
15604.50
area segment
127095.225
23.21
RUN6U16P.WK4
J-384
11/04/98
-------
Form for calculating Replacement Near-Wai! Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
line 3)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
16.0
16.0
16.0
21.9
24.3
26.1
26.8
26.6
26.7
29.3
28.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.00
16.00
16.00
18.95
23.10
25.20
26.45
26.70
26.65
28.00
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
I
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4172.05
8243.56
8143.03
9525.33
11466.22
12350.26
12796.69
12749.88
12558.55
13018.80
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
28.10
543.71
area segment
105024.37
15278.27
120302.641
21.97
line 4)
line 5a)
line 5b)
RUN6U16P.WK4
J-385
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORTC, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel,
V-d
ft/sec
14.2
14.2
14.2
21.5
24.2
27.3
28.4
27.5
28.7
30.5
29.7
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
7.10
14.20
14.20
17.85
22.85
25.75
27.85
27.95
28.10
29.60
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 3702.69
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
7316.16
7226.94
8972.41
11342.12
12619.81
13474.02
13346.78
13241.85
13762.73
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
105005.52
segment
29.70
543.71
16148.21
segment
121153.729
22.12
line 3)
line 4)
line 5a)
line 5b)
RUN6U16P.WK4
J-386
11/04/98
-------
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORTD, USI 16ptAUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
line 2)
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
22.9
22.9
22.9
22.5
25.3
25.9
27.3
25,6
26.6
28.2
28.1
Decay vel.
avg of d, d-1
11.45
22.90
22.90
22.70
23.90
25.60
26.60
26.45
26.10
27.40
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907,98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502,66
496.37
490.09
483.81
477.52
471,24
464.96
Vol. flow
in segment
(col C X F)
5971.24
11798,60
11654.71
11410.30
11863.31
12546.30
12869.26
12630.50
12299.37
12739,82
:
(used=11 for drem)
Total near-wall volumetric flow (total of column G) 11 5783.41
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 28. 1 0
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15278.27
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 31 061 .681
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 23.93
RUN6U16P.WK4
J-387
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 2)
line 3)
line 4)
line 5a)
line 5b)
(A) (B) (C) (D) (E) (F) (G) i
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel. Decay vel.
V-d
ft/see avgofd, d-1
20.1 10.05
20.1 20.10
20.1 20.10
21,0 20.55
24.6 22.80
26.5 25.55
27.3 26.90
25.7 26.50
27.5 26.60
30.0 28.75
29.0
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5241.13
10355.97
10229.68
10329.58
11317.30
12521.80
13014.40
12654.37
12534.99
13367.52
I
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 111 566.75
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 29.00
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15767.61
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 127334.365
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 23.25
RUN6Y16P.WK4
J-388
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORT B, USi 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in,
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
15.8
15.8
15.8
20.7
23.8
25.8
26.6
25.6
26.8
28.5
27.3
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
7.90
15.80
15,80
18.25
22.25
24.80
26.20
26.10
26.20
27.65
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464,96
Vol. flow
in segment
(col C X F)
4119.90
8140.52
8041.24
9173.48
11044.30
12154.23
12675.73
12463.36
12346.50
12856.06
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
27.30
543.71
area segment
103015.31
14843.31
117858.618
21.52
line 3)
line 4)
line 5a)
line 5b)
RUN6Y16P.WK4
J-389
11/04/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORTC, USI 16ptAUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
14.3
14.3
14.3
21.3
25.5
27.5
28.8
27.7
28.1
30.6
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.15
14.30
14.30
17.80
23.40
26.50
28.15
28.25
27.90
29.35
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
lediate
lations
pi(r-d)A2
21382.59
20867.37
20867.37 20358.43
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3728.77
7367.68
7277.83
8947.28
11615.13
12987.38
13619.16
13490.04
13147.60
13646.49
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
29.40
543.71
area segment
105827.36
15985.10
121812.459
22.24
line 4)
line 5a)
line 5b)
RUN6Y16P.WK4
3-390
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 6
PORT D, US! 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
line 2)
21,904,1 sq. in.
83.5003 in
pi =
3.14159
line 3)
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d_ o
Q
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
22.0
22.0
22.0
22.5
25.8
26.7
27.1
26.8
26.5
28.5
27.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.00
22.00
22.00
22.25
24.15
26.25
26.90
26.95
26.65
27.50
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 5736.56
515.22
11334.90
508.94 11196.67
502.66
496.37
490.09
483.81
477.52
471.24
464.96
11184.10
11987.41
12864.86
13014.40
12869.26
12558.55
12786.32
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 11 5533.02
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 27. 1 0
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 14734.56
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 130267.585
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 23.79
RUN6Y16P.WK4
J-391
11/04/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
16.2
16.2
16.2
20.1
21.6
23.0
24.1
25.7
28.6
28.4
30.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.10
16.20
16.20
18.15
20.85
22.30
23.55
24.90
27.15
28.50
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907,98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
Vol. flow
in segment
(col C X F)
4224.20
8346.61
8244.82
9123.21
10349.38
490.09 10929.00
483.81
477.52
471.24
464.96
11393.65
11890.33
12794.17
13251.28
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 100546.64
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 30.90
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16800.66
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 117347.306
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 21 .43
RUN9U16P.WK4
J-392
11/04/98
-------
Form for calculating Replacement Near-Wai! Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area;
line 1) radius;
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
13.8
13.8
13.8
19.9
21.7
23.2
24.1
25.3
26.1
27.0
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.90
13.80
13.80
16.85
20.80
22.45
23.65
24.70
25.70
26.55
Intermediate
calculations
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
pi(r-d)A2
21382.59
Area of
segment
(col D - E)
521.51
Vol. flow
in segment
(col C X F)
3598.39
20867.37 515.22 ! 7110.07
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
1697179
508.94
502.66
496.37
490.09
483.81
477.52
471,24
7023.36
8469.76
10324.56
11002.52
11442.03
11794.83
12110.88
464.96 i 12344.61
I
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2 .
This is the substitute velocity value, V.
area segment
29.40
543.71
area segment
95221 .00 j
15986.10
111206.098
20.31
line 4)
line 5a)
line 5b)
RUN9U16P.WK4
J-393
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORTC, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area; 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2}
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
11.5
11.5
11.5
20.0
22.7
24.3
25.3
27.4
28.1
28.3
31.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.75
11.50
11.50
15.75
21.35
23.50
24.80
26.35
27.75
28.20
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855,78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2998.66
5925.06
5852.80
7916.83
10597.56
11517.11
11998.40
12582.74
13076.92
13111.79
(use vel. at d=11 for drern)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
95577.89
area segment
31.40
543.71
17072.52
area segment
112650.406
20.57
RUN9U16P.WK4
J-394
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in,
line 1) radius: 83.5003 in
line 2)
pi =
3.14159
line 3)
line 4)
line 5a)
line 5b)
(A) (B) (C) (D) (E) (F) (G)
Distance Axial vel.
from wall V-d
(inches) ft/sec
d= 1 19.0
d= 2 19.0
d= 3 19.0
d= 4 20.4
d= 5 22.5
d= 6 23.6
d= 7 23.9
d= 8 26.4
d= 9 26.6
d= 10 26.8
drem 10.6 29.8
Decay vel.
avg of d, d-1
9.50
19.00
19.00
19.70
21.45
23.05
23.75
25.15
26.50
26.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4954.30
9789.23
9669.85
9902.33
10647.20
11296.57
11490.41
12009.72
12487.87
12414.35
(used=11 for drem)
Total near-wall volumetric flow (total of column G) 104861.82
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 29.80
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16202.58
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 120864.407
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.07
RUN9U16P.WK4
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORT A, USI 16ptAUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi
3.14159
line 2)
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
L ft/see
16.4
16.4
16.4
19.8
21.4
23.1
24.1
26.6
27.4
28.1
31.2
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
8.20
16.40
16.40
18.10
20.60
22.25
23.60
25.35
27.00
27.75
Intern
calcu
ฃiฃr-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
Area of
segment
(col D - E)
521.51
515.22
508.94
19855.78 502.66
19359.40
496.37
18869.31 490.09
18385.51
17907.98
17436.74
16971.79
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4276.35
8449.65
8346.61
9098.08
10225.28
10904.50
11417.84
12105.22
12723.49
12902.56
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
31.20
543.71
area segment
100449.57
16963.78
117413.344
21.44
line 3)
line 4)
line 5a)
line 5b)
RUN9Y16P.WK4
J-396
11/04/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq, in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
13.2
13.2
13.2
19.9
21.5
23.2
24.2
25.2
26.4
26.9
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.60
13.20
13.20
16.55
20.70
22.35
23.70
24.70
25.80
26.65
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
Vol. flow
in segment
(col C X F)
3441 .94
6800.94
6718.00
8318.96
10274.92
490.09 10953.51
483.81
11466.22
477.52 11794.83
471.24
464.96
12158.00
12391.11
I .
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pt*rA2
This is the substitute velocity value, V.
94318.42
area segment
29.40
543.71
15985.10
area segment
110303.516
20.14
line 4)
line 5a)
line 5b)
RUN9Y16P.WK4
J-397
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
11.4
11.4.
11.4
20.2
22,0
24.2
25,0
27.2
28.3
29.1
32.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.70
11.40
11.40
15.80
21.10
23.10
24.60
26.10
27.75
28.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 2972.58
515.22 5873.54
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
5801.91
7941.97
10473.47
11321.07
11901.64
12463.36
13076.92
13344.27
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
32.00
543,71
area segment
95170.73
17398.75
112569.481
20.56
line 4)
line 5a)
line 5b)
RUN9Y16P.WK4
J-398
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Run 9
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
line 3)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
18.1
18.1
18.1
20.8
22.8
23.1
24.2
24.5
27.0
26.9
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.05
18.10
18.10
19.45
21.80
22.95
23.65
24.35
25.75
26.95
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
47124
464.96
Vol. flow
in segment
(col C X F)
4719.63
9325.53
9211.80
9776.66
10820.93
11247.56
11442.03
11627.70
12134.44
12530.59
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
102836.87
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
29.40
543.71
15985.10
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 118821.967
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 21.70
RUN9Y16P.WK4
J-399
11/04/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Night Run 1
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904,1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
17.4
17.4
17.4
20.9
23.9
25.8
27,3
28.1
29.9
29.8
30,8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.70
17.40
17.40
19.15
22.40
24.85
26.55
27.70
29.00
29.85
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
|
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4537.10
8964.87
8855.54
9625.87
11118.76
12178.73
12845.07
13227.40
13665.97
13878.97
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
30.80
543.71
area segment
108898.27
16746.29
125644.569
22.94
line 4)
line 5a)
line 5b)
N1U16P.WK4
J-400
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 1
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
16.6
16.6
16.6
23.0
24.1
26.0
27.4
28.1
29.0
29.2
29.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.30
16.60
16.60
19.80
23.55
25.05
26.70
27.75
28.55
29.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4328,50
8552.69
8448.39
9952.59
11689.58
12276.75
12917.64
13251.28
13453.91
13530.25
(use vel. at d-11for drem)
line 3)
line 4)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
[Wall-effect adjusted velocity in the Method 1 near-wall equal area
line 5a)j a) Add the values on lines 3 and 4.
line 5b)j b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
29.60
543.71
segment
108401.59
16093.84
124495.429
22.73
N1U16P.WK4
J-401
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 1
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
P"
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
14.1
14.1
14.1
22.0
24.4
26.4
27.3
29.0
29.8
30.4
31.2
(C) (D) (E) (F) (G)
Decay vel,
avg of d, d-1
7.05
14.10
14.10
18.05
23.20
25.40
26.85
28.15
29.40
30.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
18869.31 i 490.09
18385.51
17907.98
17436.74
16971.79
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3676.62
7264.64
7176.05
9072.94
11515.85
12448.28
12990.21
13442.29
13854.46
13995.21
line 2)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
31.20
543.71
area segment
105436.55
16963.78
122400.323
22.35
line 3)
line 4)
line 5a)
line 5b)
N1U16P.WK4
J-402
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 1
PORTD, US! 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
19.7
19.7
19.7
23.1
25.5
25.6
27.3
28.2
29.5
29,2
29.4
Decay vel.
avg of d, d-1
9.85
19.70
19.70
21.40
24.30
25.55
26.45
27.75
28.85
29.35
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col.D-E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5136.83
10149.88
10026.11
10756.84
12061.86
12521.80
12796.69
13251.28
13595.28
13646.49
i
(used=11 for drem)
Total near-wall volumetric flow (total of column G) 113943.06
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 29.40
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15985.10
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 129928.157
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 23.73
N1U16P.WK4
J-403
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 1
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
line 1)
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
3.14159
line 2)
line 3}
line 4)
line 5a)
line 5b)
(A) (B) (C) (D) (E) (F) (G)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel. Decay vel.
V-d
ft/sec avgofd, d-1
17.4 8.70
17.4 17.40
17.4 17.40
21.8 19.60
24.3 23.05
25.3 24.80
26.9 26.10
29.0 27.95
29.3 29.15
29.9 29.60
30.3
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4537.10
8964.87
8855.54
9852.06
11441.40
12154.23
12627.35
13346.78
13736.65
13762.73
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 109278.72
Volumetric flow in remainder of the Method 1 near-wail equal area segment
a) Axial velocity at drem (use d=1 1) 30.30
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 16474.44
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 1 25753.1 61
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.96
N1Y16P.WK4
J-404
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 1
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in,
radius: 83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
^JB)
Axial vel.
V-d
ft/sec
16.1
16.1
16.1
21.4
23.7
25.6
26.6
27.0
27.4
28.0
29.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.05
16.10
16.10
18.75
22.55
24.65
26.10
26.80
27.20
27.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow i
in segment
(col C X F)
4198.12
8295.08
8193.92
9424.80
11193.21
12080.71
12627.35
12797.63
12817,74
12879.31
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 104507.89
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 29.20
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15876.36
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 120384.243
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 21 .98
N1Y16P.WK4
J-405
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 1
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in,
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d/5
a
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
13.6
13.6
13.6
21.9
25.4
26.6
28.3
28.9
29.7
31.0
32.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.80
13.60
13.60
17.75
23.65
26.00
27.45
28.60
29.30
30.35
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3546.24
7007.03
6921.58
8922.15
11739.22
12742.34
13280.49
13657.17
13807.34
14111.45
line 3)
line 4)
line 5a)
Iine5b)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
105735.00
I
area segment
32.10
543.71
17453.12
area segment
123188.115
22.50
N1Y16P.WK4
J-406
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 1
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
20.0
20.0
20.0
22.6
24.6
26.3
27.2
27.9
28.5
28.6
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.00
20.00
20.00
21.30
23.60
25.45
26.75
27.55
28.20
28.55
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
17436.74 471.24
16971.79
464.96
Vol. flow
in segment
(col C X F)
5215.06
10304.45
10178.79
10706.58
11714.40
12472.79
12941.83
13155.77
13288.98
13274.53
line 3)
(use vel. at d=11 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wail-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
29.40
543.71
area segment
113253.16
15985.10
129238.261
23.60
N1Y16P.WK4
J-407
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Night Run 2
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
19.2
19.2
19.2
23.0
23.1
23.8
25.2
26.3
27.5
27.3
28.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.60
19.20
19.20
21.10
23.05
23.45
24.50
25.75
26.90
27.40
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5006.45
9892.27
9771.64
10606.05
11441.40
11492.61
11853.26
12296.23
12676.36
12739.82
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
28.50
543.71
area segment
107776.09
15495.76
123271.853
22.51
line 4)
line 5a)
line 5b)
N2U16P.WK4
J-408
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 2
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
17.9
17.9
17.9
23.4
23.3
24.0
25.0
26.0
27,0
26.9
28.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.95
17.90
17.90
20.65
23.35
23.65
24.50
25.50
26.50
26.95
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4667.48
9222.48
9110.01
10379.85
11590.31
11590.62
11853.26
12176.85
12487.87
12530.59
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wail equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
28.00
543.71
area segment
105609.33
15223.90
120833.235
22.07
N2U16P.WK4
J-409
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 2
PORTC, USI 16pt AUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
radius; 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
14.3
14.3
14.3
22.6
24.1
24.4
25.4
26.3
27.9
28.3
28.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.15
14.30
14.30
18.45
23.35
24.25
24.90
25.85
27.10
28.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
17907.98 477.52
17436.74
16971.79
471.24
464.96
Vol. flow
in segment
(col C X F)
3728.77
7367.68
7277.83
9274.01
11590.31
11884.68
12046.79
12343.98
12770.61
13065.29
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
28.90
543.71
area segment
101349.95
15713.24
117063.193
21.38
line 3)
line 4)
line 5a)
line 5b)
N2U16P.WK4
J-410
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Night Run 2
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
cN 2
d- 3
d= 4
d- 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
21.4
21.4
21.4
23.2
23.9
24.5
24.8
25.7
26.0
26.8
28.0
Decay vel.
avg of d, d-1
10.70
21.40
21.40
22.30
23.55
24.20
24.65
25.25
25.85
26.40
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5580.11
11025.76
10891.30
11209.23
11689.58
11860.17
11925.83
12057.47
12181.56
12274.87
(used=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
110695.90
area segment
28.00
543.71
15223.90
area segment
125919.801
22.99
N2U16P.WK4
J-411
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 2
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904,1 sq. in.
radius: 83.5003 in
pi =
3.14159
(use vel. at d=11 for drem)
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
ft/sec
19.0
19.0
19.0
22.8
23.1
23.7
25.0
25.8
27.1
27.5
27.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.50
19.00
19.00
20.90
22.95
23.40
24.35
25.40
26.45
27.30
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
JiT-dJ*?
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4954.30
9789.23
9669.85
10505.51
11391.76
11468.10
11780.69
12129.10
12464.31
12693.33
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
106846.18
area segment
27.40
543.71
14897.68
area segment
121743.857
22.23
line 4)
line 5a)
line 5b)
N2Y16P.WK4
J-412
11/95/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 2
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
17.6
17.6
17.6
22.9
23.4
23.2
24.7
25.0
25.1
26.8
26.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.80
17.60
17.60
20,25
23.15
23.30
23.95
24.85
25.05
25.95
Intermediate
calculations
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
pi(r-d)A2
21382.59
Area of
segment
(col D - E)
521.51
20867.37 515.22
20358.43 508.94
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4589.25
9067.92
8957.33
10178.79
11491.04
11419.09
11587.17
11866.46
11804.57
12065.64
(use vel. at d^l 1 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
26.20
543.71
segment
103027.25
14245.22
117272.473
21.42
line 4)
line 5a)
line 5b)
N2Y16P.WK4
J-413
11/05/98
-------
line 2}
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 2
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel,
V-d
ft/sec
14.6
14.6
14.6
22.9
24.4
24.8
25.8
26.7
28.2
28.5
29.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.30
14.60
14.60
18.75
23.65
24.60
25.30
26.25
27.45
28.35
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3806.99
7522.25
7430.51
9424.80
11739.22
12056.21
12240.31
12534.99
12935.55
13181.53
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
29.40
543.71
segment
102872.37
15985.10
118857.468
21.71
line 4)
line 5a)
line 5b)
N2Y16P.WK4
J-414
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 2
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
21.6
21.6
21.6
24.6
23.4
23.7
24.5
25.9
26.9
27.0
25.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.80
21.60
21.60
23.10
24.00
23.55
24.10
25.20
26.40
26.95
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
18385.51 483.81
17907.98
17436.74
16971.79
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5632.26
11128.81
10993.09
11611.36
11912.95
11541.62
11659.74
12033.59
12440.74
12530.59
line 2)
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
25.50
543.71
area segment
111484.75
13864.63
12S349.38
22.89
line 4)
line 5a)
line 5b)
N2Y16P.WK4
J-415
11/55/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 3
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
StackArea: 21,904,1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
12.2
12.2
12.2
13.2
19.2
23.9
25.8
26.2
27.1
29.1
29.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.10
12.20
12.20
12.70
16.20
21.55
24,85
26.00
26.65
28.10
Intern
calcu
pi(r-d-i-1)A2
21904.10
21382.59
20867.37
20358,43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(coi C X F)
3181.18
6285.72
6209.06
6383.73
8041.24
10561.44
12022.60
12415.61
12558.55
13065.29
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
90724.43
area segment
29.50
543.71
16039.47
area segment
106763.896
19.50
line 3)
line 4)
line 5a)
line 5b)
N3U16P.WK4
J-416
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 3
PORT B, US! 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
11.7
11.7
11,7
15.1
18.9
24.9
24.9
25.9
26.0
27.9
28.5
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
5.85
11.70
11.70
13.40
17.00
21.90
24.90
25.40
25.95
26.95
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3050.81 I
6028.10
5954.59
6735.59
8438.34
10732.97
12046.79
12129.10
12228.69
12530.59
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
28.50
543.71
area segment
89875.56
15495.76
105371.324
19.24
line 4)
line 5a)
line 5b)
N3U16P.WK4
J-417
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wai! Effects Night Run 3
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/see
10.0
10.0
10.0
14.4
19.5
25.4
26.3
26.8
27.4
28.8
29.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.00
10.00
10.00
12.20
16.95
22.45
25.85
26.55
27.10
28.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471 .24
464.96
Vol. flow
in segment
(col C X F)
2607.53
5152.23
5089.39
6132.41
8413.52
11002.52
12506.40
12678.25
12770.61
13065,29
line 2)
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
89418.15
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
29.80
543.71
16202.58
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 105620.732
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 19.29
N3U16P.WK4
J-418
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 3
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel,
V-d
ft/sec
13.7
13.7
13.7
15.8
19.8
24.7
25.5
25.6
26.1
27.8
28.6
(use d=1 1 for drem)
Decay vel.
avg of d, d-1
6.85
13.70
13.70
14.75
17.80
22.25
25.10
25.55
25.85
26.95
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
I
Vol. flow
in segment
(col C X F)
3572.31
7058.55
6972.47
7414.18
8835.44
10904.50
12143.55
12200.72
12181.56
12530.59
Total near-wall volumetric flow (total of column G) 9381 3.88
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 28.60
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15550.13
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 109364.006
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 19.97
N3U16P.WK4
J-419
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 3
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904,1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
Axial vel.
V-d
ft/sec
12.4
d= 2 12.4
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
12.4
14.3
18.9
24.3
24.5
26.0
26.6
28.5
29.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.20
12.40
12.40
13.35
16.60
21.60
24,40
25.25
26.30
27,55
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3233.34
6388.76
6310.85
6710.46
8239.79
10585.94
11804.88
12057.47
12393.62
12809.57
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
90534.67
area segment
29.20
543.71
15876.36
area segment
106411.029
19.43
line 4)
line 5a)
line 5b)
N3Y16P.WK4
J-420
11/D5/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 3
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
line 2)
pi =
3.14159
line 3)
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
11.3
11.3
11.3
15.7
19.1
24.1
24.4
25.7
25.8
26.7
27.8
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.65
11.30
11.30
13.50
17.40
21.60
24.25
25.05
25.75
26.25
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2946.51
5822.01
5751.01
6785.86
8636.89
10585.94
11732.31
11961.96
12134.44
12205.12
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 88562.06
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 27.80
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 15115.16
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 103677.223
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 18.93
N3Y16P.WK4
J-421
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 3
PORT C, US! 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.1
10.1
10.1
14.6
19.8
24.3
25.9
27.2
27.8
29.2
30.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.05
10.10
10.10
12.35
17.20
22.05
25.10
26.55
27.50
28.50
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2633.60
5203.75
5140.29
6207.80
8537.62
10806.48
12143.55
12678.25
12959.11
13251,28
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
89561.72
area segment
30.30
543.71
16474.44
area segment
106036.158
19.36
line 4)
line 5a)
line 5b)
N3Y16P.WK4
J-422
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 3
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
13.4
13.4
13.4
15.1
19.0
24.3
25.5
25.5
25.3
26.7
27.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.70
13.40
13.40
14.25
17.05
21.65
24.90
25.50
25.40
26.00
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464,96
Vol. flow
in segment
(col C X F)
3494.09
6903.98
6819.79
7162.85
8463.16
10610.44
12046.79
12176.85
11969.50
12088.88
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
27.00
543.71
area segment
91736.33
14680.19
106416.528
19.43
line 4)
line 5a)
line 5b)
N3Y16P.WK4
J-423
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 4
PORT A, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 21,904,1 sq. in.
radius: 83.5003 in
P' =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
11.9
11.9
11.9
15.1
16.6
17.6
17.7
19.7
20.7
21.4
22.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.95
11.90
11.90
13.50
15.85
17.10
17.65
18.70
20.20
21.05
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
nediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3102.96
6131.15
6056.38
6785.86
7867.51
8380.54
8539.19
8929.69
9519.05
9787.35
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
22.40
543.71
area segment
75099.67
12179.12
87278.7923
15.94
N4U16P.WK4
J-424
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 4
PORT B, USl 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi
3.14159
{A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axiai vel.
V-d
ft/sec
12.1
12.1
12.1
15.9
17.8
18.6
19.7
19.6
21.3
21.6
22.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.05
12.10
12.10
14.00
16.85
18.20
19.15
19.65
20.45
21.45
Intern
calcu
pKr-d+l)*^
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3155.11
6234.19
6158.17
7037.19
8363.89
8919.63
9264.90
9383.34
9636.86
9973.33
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
22.30
543.71
area segment
78126.60
12124.75
90251.3543
16.48
line 3)
line 4)
line 5a)
line 5b)
N4U16P.WK4
J-425
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Night Run 4
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
10.1
10.1
10.1
15.8
17.7
18.6
19.6
20.6
21.6
22.8
22.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.05
10.10
10.10
12.95
16.75
18.15
19.10
20.10
21.10
22.20
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2633.60
5203.75
5140.29
6509.40
8314.25
8895.13
9240.71
9598;22
9943.17
10322.05
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
75800.56
al area
I area
segment
22.70
543.71
segment
12342.24
88142.7975
16.10
line 4)
line 5a)
line 5b)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
N4U16P.WK4
J-426
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 4
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d=. 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
13.3
13.3
13.3
15.1
17.6
17.8
18.6
20.4
20.2
20.5
22.4
Decay vel.
avg of d, d-1
6.65
13.30
13.30
14.20
16.35
17.70
18.20
19.50
20.30
20.35
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 3468.01
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
16971.79 464.96
6852.46
6768.89
7137.72
8115.70
8674.59
8805.28
9311.71
9566.18
9461.88
(use d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
78162.42
segment
22.40
543.71
12179.12
segment
90341.5392
16.50
line 3)
line 4)
line 5a)
line 5b)
N4U16P.WK4
J-427
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 4 .
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in,
line 1) radius: 83.5003 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
ft/sec
1.1.8
11,8
11.8
14.9
16.7
17.4
19.1
19.6
20.0
21.0
22.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.90
11,80
11.80
13.35
15,80
17.05
18.25
19.35
19.80
20.50
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
nediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3076.88
6079.63
6005.48
6710.46
7842,69
8356.03
8829.47
9240.08
9330.56
9531.62
line 2)
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
22.50
543.71
segment
75002.91
12233.49
87236.4021
15.93
N4Y16P.WK4
J-428
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wai! Effects Night Run 4
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: '83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
_JB)_
Axial vel.
V-d
ft/sec
11.9
11.9
11.9
15.6
17.0
18.3
18.9
19.8
20.6
21.5
22.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.95
11.90
11.90
13.75
16.30
17.65
18.60
19.35
20.20
21.05
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
52151
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3102.96
6131.15
6056.38
6911.52
8090.88
8650.09
8998.80
9240.08
9519.05
9787.35
I i
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
76488,26
area segment
22.40
543.71
12179.12
area segment
88667.3802
16.19
line 4)
line 5a)
line 5b)
N4Y16P.WK4
J-429
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 4
PORTC, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.0
10.0
10.0
15.5
17.5
19.0
19.8
20.7
21.4
22.7
23.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.00
10.00
10.00
12.75
16.50
18.25
19.40
20.25
21.05
22.05
Intern
calcu
Lpj(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2607.53
5152.23
5089.39
6408.87
8190.15
8944.14
9385.85
9669.85
9919.61
10252.30
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
76619.92
area segment
23.40
543.71
12722.83
area segment
88342.753
16.13
line 4)
line 5a)
line 5b)
N4Y16P.WK4
J-430
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 4
PORT D, USI 16pt AUTOPRQBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
13.7
13.7
13.7
16.0
17.2
18.0
18.6
19.7
20.1
21.2
21.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.85
13.70
13.70
14.85
16.60
17.60
18.30
19.15
19.90
20.65
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3572.31
7058.55
6972.47
7464.44
8239.79
8625.58
8853.66
9144.57
9377.68
9601.36
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
21.30
543.71
area segment
78910.43
11581,04
90491.4724
16.53
line 4)
line 5a)
line 5b)
N4Y16P.WK4
J-431
11/05/98
-------
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORT A, US! 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
pi =
3.14159
line 1)
line 2)
radius:
(A)
83.5003
(B)
in
(C)
(D)
(E)
(F)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
Axial vel.
V-d
ft/sec
9.7
9.7
9.7
11.4
13.0
13.4
14.4
15.2
16.0
16.1
17.0
Decay vel.
avg of d, d-1
4.85
9.70
9.70
10.55
12.20
13.20
13.90
14.80
15.60
16.05
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
I
Vol. flow
in segment
(col C X F)
2529.30
4997.66
4936.71
5303.02
6055.75
6469.19
6724.91
7067.35
7351.35
7462.56
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
17.00
543.71
segment
58897.80
9243.08
68140.8864
12.44
line 4)
line 5a)
line 5b)
N5U16P.WK4
J-432
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORT B, USi 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
9,8
9.8
9.8
13.2
15.0
15.8
17.0
17.7
18.5
18.0
18.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.90
9.80
9.80
11.50
14.10
15.40
16.40
17.35
18.10
18.25
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)*2
21382.59
Area of
segment
(col D - E)
521.51
20867.37 ! 515.22
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
508.94
502.66
Vol. flow
in segment
(col C X F)
2555.38
5049.18
4987.61
5780.55
496.37 6998.86
490.09
483.81
477.52
471.24
464.96
7547.38
7934.43
8285.03
8529.45
8485.47
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
18.50
543.71
area segment
66153,33
10058.65
76211.9817
13.92
line 3)
line 4)
line 5a)
line 5b)
N5U16P.WK4
J-433
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORTC, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches) ,
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
8.1
8.1
8.1
13.3
14.4
15.8
17.0
17.3
17.9
18.5
19.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.05
8.10
8.10
10.70
13.85
15.10
16.40
17.15
17.60
18.20
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2112.10
4173.30
4122.41
5378.42
6874.77
7400.36
7934.43
8189.53
8293.83
8462,22
line 2)
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
62941.36
area segment
19.00
543.71
10330.51
area segment
73271.8641
13.38
line 4)
line 5a)
line 5b)
N5U16P.WK4
J-434
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
10.6
10.6
10.6
12.2
13.5
14.1
15.3
15.0
16.5
16.1
15.7
Decay vel.
avg of d, d-1
5.30
10.60
10.60
11.40
12.85
13.80
14.70
15.15
15.75
16.30
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2763.98
5461.36
5394.76
5730.28
6378.39
6763.24
7111.96
7234.48
7422.03
7578.80
(use d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
15.70
543.71
segment
61839.28
8536.26
70375.5436
12.85
N5U16P.WK4
J-435
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
ft/sec
8.8
8.8
8.8
11.4
12.3
14.0
14.6
14.8
15.5
16.4
16.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.40
8.80
8.80
10.10
11.85
13.15
14.30
14.70
15.15
15.95
Intern
calcu
pi(r-d+1J^
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2294.63
4533.96
4478.67
5076.83
5882.02
6444.68
6918.44
7019.59
7139.29
7416.07
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow In remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
16.40
543.71
area segment
57204.16
8916.86
66121.0228
12.07
line 4)
line 5a)
line 5b)
N5Y16P.WK4
J-436
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
r~w
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
9.8
9,8
9.8
14.0
15.1
15.7
16.6
17.0
17.2
17.8
18.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.90
9.80
9.80
11.90
14.55
15.40
16.15
16.80
17,10
17.50
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 2555.38
515.22
508.94
5049.18
4987.61
502.66 5981.61
496.37
490.09
483.81
477.52
471.24
464.96
7222.23
7547.38
7813.48
8022.39
8058.21
8136.75
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
65374.21
segment
18.50
543.71
10058.65
segment
75432.8643
13.78
N5Y16P.WK4
J-437
11/05/98
-------
line 1}
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
8.6
8.6
8.6
13.2
15.0
16.1
16.7
17.3
18.1
18.2
18.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.30
8.60
8.60
10.90
14.10
15.55
16.40
17.00
17.70
18.15
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
lediate
lations
pi(r-d)A2 ,
21382.59
20867.37
20358.43
19855.78
19855.78 19359.40
19359.40
18869.31
18385.51
17907.98
17436.74
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
Vol. flow
in segment
(col C X F)
2242.47 i
4430.91
4376.88
5478.95
6998.86
7620.90
7934.43
8117.90
8340.95
464.96 8438.97
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
18.50
543.71
area segment
63981.23
10058.65
74039.8787
13.52
line 3)
line 4)
line 5a)
line 5b)
N5Y16P.WK4
J-438
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 5
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
rl O
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.7
10.7
10.7
11.9
13.0
14.2
13.9
15.5
15.5
16.5
15.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.35
10.70
10.70
11.30
12.45
13.60
14.05
14.70
15.50
16.00
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436,74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2790.06
5512.88
5445.65
5680.01
6179.84
6665.22
6797.48
7019.59
7304.22
7439.31
line 2)
(use vel. at d-11for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
60834.28
area segment
15.70
543.71
8536.26
area segment
69370.5452
12.67
N5Y16P.WK4
J-439
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/see
9.7
9.7
9.7
11.4
12,6
14.1
14.9
15.2
15.9
15.8
16.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.85
9.70
9.70
10.55
12.00
13.35
14.50
15.05
15.55
15.85
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2529.30
4997.66
4936.71
5303.02
5956.48
6542.70
7015.20
7186.73
7327.79
7369.57
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
59165.15
area segment
16.20
543.71
8808.12
area segment
67973.268
12.41
line 3)
line 4)
line 5a)
line 5b)
N6U16P.WK4
J-440
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904,1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
10.2
10.2
10.2
13.9
14.6
15.9
17.0
17.4
18.4
18.9
19.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.10
10.20
10.20
12.05
14.25
15.25
16.45
17.20
17.90
18.65
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436,74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2659.68
5255.27
5191.18
6057.01
7073.32
7473.87
7958.62
8213.40
8435.20
8671.45
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
66989.00
area segment
19.20
543.71
10439.25
area segment
77428.2452
14.14
N6U16P.WK4
J-441
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORTC, USl 16ptAUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
8.2
8.2
8.2
13.5
14.9
16.0
17.1
18.0
18.9
19.2
19.3
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.10
8.20
8.20
10.85
14.20
15.45
16.55
17.55
18.45
19.05
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907,98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 2138.17 !
515.22
508.94
502.66
496.37
490.09
18385.51 483.81
17907.98
477.52
17436.74 471.24
16971.79
464.96
4224.82
4173.30
5453.82
7048.50
7571.89
8007.00
8380.54
8694.38
8857.43
line 3)
line 4)
line 5a)
line 5b)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
19.30
543.71
area segment
64S49.86
10493.62
75043.4775
13.70
N6U16P.WK4
J-442
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
line 2)
p,=
3.14159
line 3)
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
11.0
11.0
11.0
13.3
13.0
14.2
15.0
16.2
14.7
17.0
17.1
(use d=1 1 for drem)
Decay vel.
avg of d, d-1
5.50
11.00
11.00
12.15
13.15
13.60
14.60
15.60
15.45
15.85
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
19359.40 496.37
18869.31
18385.51
17907.98
17436,74
16971.79
490.09
483.81
477.52
Vol. flow
in segment
(col C. X F)
2868.28
5667.45
5598.33
6107.27
6527.31
6665.22
7063.58
7449.37
471.24 7280.66
464.96
7369.57
Total near-wall volumetric flow (total of column G) 62597.04
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem 17.10
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 9297.46
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 71894.4929
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 13.13
N6U16P.WK4
J-443
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
ft/sec
9.3
9.3
9.3
11.5
12.3
14.0
14.3
14.6
15.6
16.0
16.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.65
9.30
9.30
10.40
11.90
13.15
14.15
14.45
15.10
15.80
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
Vol. flow
in segment
(col C X F)
2425.00
4791.57
4733.14
5227.62
5906.84
490.09 6444.68
483.81
477.52
471 .24
464.96
6845.86
6900.21
7115.73
7346.32
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 57736.98
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 16.40
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 8916.86
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 66653.8382
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 12.17
.
N6Y16P.WK4
J-444
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
line 1)
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.0
10.0
10.0
13.4
15.7
15.8
16.2
16.9
17.8
18.1
18.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.00
10.00
10.00
11.70
14.55
15.75
16.00
16.55
17.35
17.95
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
1697179
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
Vol. flow
in segment
(col C X F)
2607.53
5152.23 !
5089.39
5881.08
7222.23
7718.91
7740.91
7903.01
471.24 8176.02
464.96
8345.98
(use vel. at d=1 1 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G) 65837.29 1
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1} 18.20
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 9895.54
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 75732.8231
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 13.83
N6Y16P.WK4
J-445
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORT C, USM 6pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
line 3)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
8.2
8.2
8.2
13.1
15.5
16.0
17.5
17.1
18.3
19.0
19.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.10
8.20
8.20
10.65
14.30
15.75
16.75
17.30
17.70
18.65
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
21904.10
21382.59
21382.59 20867.37
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
Vol. flow
in segment
(col C X F)
521.51 2138.17
515.22
508.94
502.66
496.37
490.09
483,81
477.52
471.24
464.96
4224.82
4173.30
5353.29
7098.13
7718.91
8103.76
8261.16
8340.95
8671.45
(use vei. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
64083.96
area segment
19.60
543.71 .
10656.73
area segment
74740.6911
13.65
line 4)
line 5a)
line 5b)
N6Y16P.WK4
J-446
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 6
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.7
10.7
10.7
13.4
13.0
13.6
14.5
16.4
15.4
16.0
16.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.35
10.70
10.70
12.05
13.20
13.30
14.05
15.45
15.90
15.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
Vol. flow
in segment
(col C X F)
2790.06
5512.88
5445.65
502.66 6057.01
496.37
490.09
483.81
477.52
471.24
464.96
6552.12
6518.19
6797.48
7377.74
7492.72
7299.83
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
16.00
543.71
area segment
61843.68
8699.37
70543.055
12.88
N6Y16P.WK4
J-447
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 7
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
line 1)
line 2)
StackArea; 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
9.1
9.1
9.1
11.8
13.0
14.2
14.3
15.1
15.7
16.3
16.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.55
9.10
9.10
10.45
12.40
13.60
14.25
14.70
15.40
16.00
Intermediate
calculations
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
I
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
Vol. flow
in segment
(col C X F)
2372.85
4688.53
508.94 ! 4631.35
502.66
496.37
490.09
5252.76
6155.03
6665.22
483.81 6894.24
477.52
471.24
464.96
7019.59
7257.10
7439.31
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
58375.98
area segment
16.60
543.71
9025.60
area segment
67401.5822
12.31
N7U16P.WK4
J-448
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 7
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
9.9
9.9
9.9
14.0
15.6
16.6
16.9
17.1
18.3
18.4
19.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.95
9.90
9.90
11.95
14.80
16.10
16.75
17.00
17.70
18.35
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359,40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2581.45
5100.70
5038.50
6006.74
7346.32
7890.45
8103.76
8117.90
8340.95
8531.96
line 3)
(use vel. at d=11 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
19.00
543.71
area segment
67058.74
10330.51
77389.2465
14.13
N7U16P.WK4
11/05/98
J-449
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
Wall Effects Night Run 7
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
8.0
8,0
8.0
13.3
15.4
16.4
16.8
17.3
18.2
19,2
18.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.00
8.00
8.00
10.65
14.35
15.90
16.60
17.05
17.75
18.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382,59
20867.37
20358,43
19855.78
19359.40
18869,31
18385.51
17907,98
nediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
17436.74 i 16971.79
I
Area of
segment
(col D - E)
521.51
Vol. flow
in segment
(col C X F)
2086.02
515.22 4121.78
508.94
502.66
496.37
490.09
483.81
477.52
471,24
464.96
4071.51
5353.29
7122.95
7792.43
8031.19
8141.78
8364.52
8694.70
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
63780.17
area segment
18.60
543.71
10113.02
area segment
73893.1875
13.49
line 4)
line 5a)
line 5b)
N7U16P.WK4
J-450
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 7
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
11.5
11.5
11.5
13.4
14.5
13.6
14.5
15.1
16.1
15.9
17.3
Decay vel.
avg of d, d-1
5.75
11.50
11.50
12.45
13.95
14.05
14.05
14.80
15.60
16.00
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
Vol. flow
in segment
(col C X F)
2998.66
5925.06
5852.80
6258.07
496.37 6924.40
490.09
483.81
477.52
471.24
464.96
6885.76
6797.48
7067.35
7351.35
7439.31
line 3)
(used=11 for drem)
Total near-wall volumetric flow (total of column G)
63500.25
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
17.30
543.71
9406.20
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 72906.4453
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 13.31
N7U16P.WK4
J-451
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 7
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
ft/sec
9.3
9.3
9.3
11.6
13.0
14.1
14.5
15.3
16.0
16.0
16.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.65
9.30
9.30
10.45
12.30
13.55
14.30
14.90
15.65
16.00
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2425.00
4791.57
4733.14
5252.76
6105.39
6640.72
6918.44
7115.10
7374.91
7439.31
I
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
58796.33
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
16.90
543.71
9188.71
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 67985.0417
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 12.42
N7Y16P.WK4
J-452
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 7
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
line 1) radius:
21,904,1 sq. in.
83.5003 in
pi =
3.14159
line 2)
line 3)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
9.8
9.8
9.8
14.2
15.3
16.3
16.5
17.3
17,6
18.2
19.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.90
9.80
9.80
12.00
14.75
15.80
16.40
16.90
17.45
17.90
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)*2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2555.38
5049.18
4987.61
6031.87
7321.50
7743.42
7934.43
8070.15
8223.14
8322.73
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
line 4)
line 5a)
line 5b)
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
66239.41
area segment
19.10
543.71
10384.88
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
76624.2879
13.99
N7Y16P.WK4
J-453
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wai! Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 7
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
8.2
8.2
8.2
13.2
14.9
15.9
17.8
18.3
17.9
18.4
19.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.10
8.20
8.20
10.70
14.05
15.40
16.85
18.05
18.10
18.15
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
|
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2138.17
4224.82
4173.30
5378.42
6974.04
7547.38
8152.14
8619.30
8529.45
8438.97
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
19.10
543.71
area segment
64176.01
10384.88
74560.8846
13.62
line 3)
line 4)
line 5a)
line 5b)
N7Y16P.WK4
J-454
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 7
PORT D, USi 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.6
10.6
10.6
12.4
13.3
13.6
14.0
14.2
16.1
16.1
15.7
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.30
10.60
10.60
11.50
12.85
13.45
13.80
14.10
15.15
16.10
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907,98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2763.98
5461.36
5394.76
5780.55
6378.39
6591.71
6676.53
6733.08
7139.29
7485.81
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
60405.46
.
area segment
15.70
543.71
8536.26
area segment
68941.7166
12.59
line 4)
line 5a)
line 5b)
N7Y16P.WK4
J-455
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORT A, US! 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
9.3
9.3
9.3
12.0
12.9
14.0
14.9
15.3
16.1
15.6
16.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.65
9.30
9.30
10.65
12.45
13.45
14.45
15.10
15.70
15.85
Intermediate
calculations
pi(r-d+1)A2| pi(r-d)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
Vol. flow
in segment
(col C X F)
2425.00
4791.57
4733.14
502.66 5353.29
496.37
490.09
483.81
477.52
471.24
464.96
6179.84
6591.71
6991.01
7210.60
7398.47
7369.57
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
16.20
543.71
area segment
59044.20
8808.12
67852.3165
12.39
line 4)
line 5a)
line 5b)
N8U16P.WK4
J-456
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORT B, USi 16pt AUTOPROBE, STRAIGHT-DP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
P"
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
.ft/sec
10.1
10.1
10.1
14.4
14.3
16.1
16.7
17.6
18.4
18.2
19.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.05
10.10
10.10
12.25
14.35
15.20
16.40
17.15
18.00
18.30
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
20358.43 19855.78
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
19359.40
18869.31
18385.51
17907.98
17436.74
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24 .
16971,79 464.96
Vol. flow
in segment
(col C X F)
2633.60
5203.75
5140.29
6157.54
7122.95
7449.37
7934.43
8189.53
8482.33
8508.72
(use vel. at d=1 1 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G) 66822.49
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 19.00
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 10330,51
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 77152.9981
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 14.09
N8U16P.WK4
J-457
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORT C, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
line 1) radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
8.0
8.0
8.0
13,8
15.0
16.0
17.1
18.0
18.4
18.4
19.1
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.00
8.00
8.00
10.90
14.40
15.50
16.55
17.55
18.20
18.40
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2086.02
4121.78
4071.51
5478.95
7147.77
7596.39
8007.00
8380.54
8576.57
8555.21
line 3)
(use vel. at d=11 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
64021.75
area segment
19.10
543.71
10384.88
area segment
74406.632
13.59
N8U16P.WK4
J-458
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORTD, USl 16ptAUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
10.6
10.6
10.6
12.8
13.6
13.3
14.6
15.4
15.7
15.7
16.6
Decay vel.
avg of d, d-1
5.30 ~1
10.60
10.60
11.70
13.20
13.45
13.95
15.00
15.55
15.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385,51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2763.98
5461.36
5394.76
5881.08
6552.12
6591.71
6749.10
7162.85
7327.79
7299.83
line 3)
(used-11 for drem)
Total near-wall volumetric flow (total of column G)
61184.57
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
16.60
543.71
9025.60
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 70210.1735
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 12.82
N8U16P.WK4
J-459
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3,14159
line 2)
line 3)
(A) (B)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel.
V-d
L ft/sec
9.1
9.1
9.1
11.3
12,3
13.8
14.7
15.2
15.8
15.7
16.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.55
9.10
9.10
10.20
11.80
13.05
14.25
14.95
15.50
15.75
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
nediate
lations
pi(r-d)A2
21382.59
Area of
segment
(col D - E)
521.51
20867.37 515.22
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2372.85
4688.53
4631.35
5127.09
5857.20
6395.67
6894.24
7138.98
7304.22
7323.07
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
16.00
543.71
area segment
57733.21
8699.37
66432.5841
12.13
line 4)
line 5a)
line 5b)
N8Y16P.WK4
J-460
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.2
10.2
10.2
14.0
15.2
15.6
16.5
17.6
17.8
18.2
18.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.10
10.20
10.20
12.10
14.60
15.40
16.05
17.05
17.70
18.00
Intern
calcu
pi(r-d+1)A2
lediate
lations
pi(r-d)A2
21904.10 21382.59
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
2659.68
5255.27
5191.18
6082.14
7247.05
7547.38
7765.10
8141.78
8340.95
8369.23
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
66599.75
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
18.50
543.71
10058.65
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 76658.403
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 14.00
N8Y16P.WK4
J-461
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius;
21,904.1 sq. in,
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
cN 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
8.0
8.0
8.0
13.5
14.8
16.2
16.5
17.9
18.2
19.1
19.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
4.00
8.00
8.00
10.75
14.15
15.50
16.35
17.20
18.05
18.65
Intern
calcu
.pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(coi C X F)
2086.02
4121.78
4071.51
5403.55
7023.68
7596.39
7910.24
8213.40
8505.89
8671.45
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
19.20
543.71
area segment
63603.92
10439.25
74043.1701
13.52
line 3)
line 4)
line 5a)
line 5b)
N8Y16P.WK4
J-462
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 8
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
P"
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
10.9
10.9
10.9
12.9
13.2
13.8
14.3
15.4
14.9
15.6
16.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
5.45
10.90
10.90
11.90
13.05
13.50
14.05
14.85
15.15
15.25
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
Vol. flow
in segment
(col C X F)
2842.21
5615.93
5547.44
5981.61
6477.67
6616.21
6797.48
7091.22
7139.29
464.96 7090.60
I
line 3)
(use vel. at d=11 for drern)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
16.90
543.71
segment
61199.65
9188.71
70388.3663
12.85
line 4)
line 5a)
line 5b)
N8Y16P.WK4
J-463
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904,1 sq. in.
83,5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
18.5
18.5
18.5
22.2
24.7
27.7
26.0
26.6
25.4
25.5
25.2
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
9.25
18.50
18.50
20.35
23.45
26.20
26.85
26.30
26.00
25.45
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
nediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(co! D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4823.93
9531.62
9415.38
10229.05
11639.95
12840.35
12990.21
12558.87
12252.25
11833.16
(use vel. at d=11 for drem)
line 3)
Total near-wall volumetric flow (total of column G)
108114.76
Volumetric flow in remainder of the Method 1 near-wall equal area segment
line 4)
line 5a)
line 5b)
a) Axial velocity at drem (use d=11)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
25.20
543.71
13701.51
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 121816.272
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 22.25
N9U16P.WK4
J-464
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
17.5
17.5
17.5
22.6
25.3
27,6
26.8
28.0
26.4
26.2
27.5
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.75
17.50
17.50
20.05
23.95
26.45
27.20
27.40
27.20
26.30
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)*2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
16971.79 464.96
Vol. flow
in segment
(col C X F)
4563.18
9016.39
8906.44
10078.26
11888.13
12962.88
13159.54
13084.14
12817.74
12228.37
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
108705.07
area segment
27.50
543.71
14952.05
area segment
123657.114
22.58
line 3)
line 4)
line 5a)
line 5b)
N9U16P.WK4
J-465
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORTC, USI 16ptAUTOPROBE, STRAIGHT-DP
Stack Area: 21,904.1 sq. in.
pi =
3.14159
line 1)
line 2)
radius: 83.5003 in
(A) (B) (C
) (D) (E)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
Axial vel.
V-d
ft/sec
13.9
13.9
13.9
22.9
25.5
29.1
27.9
28.3
26.9
26.6
27.3
Decay vel.
avg of d, d-1
6.95
13.90
13.90
18.40
24.20
27.30
28.50
28.10
27.60
26.75
Intermediate
calculations
pi(r-d+1)A2 pi(r-d)A2
21904.10 | 21382.59
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3624.46
7161.59
7074.26
9248.87
12012.23
13379.45
13788.49
13418.41
13006.23
12437.60
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wali equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
27.30
543.71
area segment
105151.60
14843.31
119994.907
21.91
line 4)
line 5a)
line 5b)
N9U16P.WK4
J-466
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
19.6
19.6
19.6
23.4
25.7
28.1
25.1
26.0
26.0
23.8
24.7
Decay vel,
avg of d, d-1
9.80
19.60
19.60
21.50
24.55
26.90
26.60
25.55
26.00
24.90
Intern
calcu
pi(r-d-H)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436,74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
Vol. flow
in segment
(col C X F)
5110.76
10098.36
9975.21
10807.11
12185.96
490.09 13183.42
483.81
477.52
471.24
464.96
12869.26
12200.72
12252.25
11577.43
line 3)
(used=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
24.70
543.71
area segment
110260.47
13429.66
123690.13
22.59
line 4)
line 5a)
line 5b)
N9U16P.WK4
J-467
11/05/98
-------
line 1)
line 2)
line 3)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq, in.
radius: 83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A) (B) (C) (D) (E) (F) (G)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
Axial vel. Decay vel.
V-d
ft/sec avgofd, d-1
17.9 8.95
17.9 17.90
17.9 17.90
21.8 19.85
25.0 23.40
27.6 26.30
26.5 27.05
26.6 26.55
25.9 26.25
24.9 25.40
23.1
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4667.48
9222.48
9110.01
9977.73
11615.13
12889.36
13086.97
12678.25
12370.06
11809.91
!
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 107427.38
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=1 1) 23.10
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 12559.72
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 11 9987.097
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 21 .91
N9Y16P.WK4
J-468
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
16.7
16.7
16.7
22.3
24.5
26.8
25.8
25.9
25.6
25.5
23.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.35
16.70
16.70
19.50
23.40
25.65
26.30
25.85
25.75
25.55
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
Vol. flow
in segment
(col C X F)
4354.57
8604.22
8499.29
9801.80
11615.13
12570.80
483.81 12724.11
477.52
471.24
16971.79 464.96
12343.98
12134.44
11879.65
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
23.60
543.71
segment
104527.99
12831.58
117359.568
21.43
line 4)
line 5a)
line 5b)
N9Y16P.WK4
J-469
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORT C, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
13.8
13.8
13.8
22.7
25.8
29.3
27.4
27.8
26.0
26.8
25.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
6.90
13.80
13.80
18.25
24.25
27.55
28.35
27.60
26.90
26.40
Intermediate
calculations
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3598.39
7110.07
7023.36
9173.48
12037.05
13501.97
13715.92
13179.65
12676.36
12274.87
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
25.40
543.71
area segment
104291.12
13810.26
118101.372
21.57
N9Y16P.WK4
J-470
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 9
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
StackArea: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
line 2)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
20.1
20.1
20.1
23.3
25.2
28.3
25.5
25.1
24.6
24.4
23.6
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.05
20.10
20.10
21.70 .
24.25
26.75
26.90
25.30
24.85
24.50
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5241.13
10355.97
10229.68
10907.64
12037.05
13109.90
13014.40
12081.34
11710.32
11391.45
line 3)
(use vel. at d=11 for drem)
[Total near-wall volumetric flow (total of column G)
110078.89
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
23.60
543.71
area segment
12831.58
122910.463
22.45
line 4)
line 5a)
line 5b)
N9Y16P.WK4
J-471
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Night Run 10
PORT A, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3,14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
20.3
20.3
20.3
24.0
26.3
28.6
30.2
31.6
32.4
33.3
33.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
10.15
20.30
20.30
22.15
25.15
27.45
29.40
30.90
32.00
32.85
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
Area of
segment
(col D - E)
21382.59 | 521.51
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5293.28
10459.02
10331.47
11133.83
12483.78
13452.97
14223.92
14755.48
15079.69
15273.84
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi ^2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
122487.27
segment
33.90
543.71
18431.80
segment
140919.069
25.73
line 4)
line 5a)
line 5b)
N10U16P.WK4
J-472
11/05/98
-------
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 10
PORT B, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area: 21,904.1 sq. in.
line 1) radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
17,9
17.9
17,9
24.5
26.3
28.0
28.9
30.9
31.6
32.8
32.0
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
Intern
calcu
pi(r-d+1)A2
8,95 21904.10
17.90
17.90
21.20
25.40
27,15
28.45
29,90
31.25
32.20
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
j3i(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4667.48
9222.48
9110.01
10656,31
12607.87
13305.94
13764.30
14277.95
14726.26
14971.62
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
,
Volumetric flow in remainder of the Method 1 near-wall equal area
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal area
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
segment
32.00
543.71
segment
117310.23
17398.75
134708.974
24.60
N10U16P.WK4
J-473
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
line 1)
line 2)
line 3)
Wall Effects Night Run 10
PORTC, USI 16ptAUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
line 4)
line 5a)
line 5b)
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B)
Axial vel.
V-d
ft/sec
15.5
15.5
15.5
24.5
27.0
29.1
30.7
32.4
33.0
34.1
34.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
7.75
15.50
15.50
20.00
25.75
28.05
29.90
31.55
32.70
33.55
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4041.67
7985.95
7888.56
10053.12
12781.60
13747.02
14465.82
15065.87
15409.56
15599.31
(use vel. at d=1 1 for drem)
Total near-wall volumetric flow (total of column G) 1 17038.48
Volumetric flow in remainder of the Method 1 near-wall equal area segment
a) Axial velocity at drem (use d=11) 34.40
b) Total area in remainder segment 543.71
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b) 18703.65
Wall-effect adjusted velocity in the Method 1 near-wall equal area segment
a) Add the values on lines 3 and 4. 135742.132
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V. 24.79
N10U16P.WK4
J-474
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 10
PORT D, USI 16pt AUTOPROBE, STRAIGHT-UP
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.6
(B) (C) (D) (E) (F) (G)
Axial vel.
V-d
ft/sec
22.1
22.1
22.1
25.3
27.4
28.7
29.4
30.7
31.9
32.1
31.7
Decay vel.
avg of d, d-1
11.05
22.10
22.10
23.70
26.35
28.05
29.05
30.05
31.30
32.00
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5762.64
11386.42
11247.56
11912.95
13079.43
13747.02
14054.58
14349.58
14749.82
14878.63
(use d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
31.70
543.71
area segment
125168.63
17235.63
142404.262
26.01
line 3)
line 4)
line 5a)
line 5b)
N10U16P.WK4
J-475
11/05/98
-------
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 10
PORT A, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in,
line 1) radius: 83.5003 in
pi =
3.14159
(A) (B)
Distance
from wall
(inches)
d= 1
Axial vel.
V-d
ft/sec
19.6
d= 2 19.6
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
19,6
23,7
26,3
28.3
30.5
31.3
32.1
32.8
33.6
(C) (D) (E) (F) (G)
Decay vel.
avg ofd, d-1
9.80
19.60
19.60
21.65
25.00
27.30
29.40
30.90
31.70
32.45
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359,40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
5110.76
10098.36
9975.21
10882.51
12409.33
13379.45
14223.92
14755.48
14938.32
15087.86
line 2)
(use vel. at d=11 for drem)
line 3)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V,
area segment
33.60
543.71
area segment
120861.18
18268.68
139129.863
25.41
N10Y16P.WK4
J-476
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 10
PORT B, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area:
radius:
21,904.1 sq. in.
83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
17.6
17.6
17.6
23,8
25.8
27.9
28.7
29.7
30.0
30.9
31.4
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
8.80
17.60
17.60
20.70
24.80
26.85
28.30
29.20
29.85
30.45
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
4589.25
9067.92
8957.33
10404.98
12310.05
13158.91
13691.73
13943.69
14066.52
14157.94
line 3)
(use vel. at d=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
31.40
543.71
area segment
114348.33
17072.52
131420.846
24.00
line 4)
line 5a)
line 5b)
N10Y16P.WK4
J-477
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wail Effects Night Run 10
PORTC, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
pi =
3.14159
(A)
Distance
from wall
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
15.2
15.2
15.2
24.3
27.2
29.4
31.2
31.7
33.4
34.0
34.9
(C) (D) (E) (F) (G)
Decay ve!.
avg of d, d-1
7.60
15.20
15.20
19.75
25.75
28.30
30.30
31.45
32.55
33.70
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E) .
521.51
515.22
508.94
502.66
496.37
490.09
483.81
477.52
471.24
464.96
Vol. flow
in segment
(col C X F)
3963.44
7831.38
7735.88
9927.46
12781.60
13869.54
14659.34
15018.11
15338.87
15669.05
line 3)
(use vei. at d=11 for drem)
line 4)
line 5a)
line 5b)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem (use d=1 1)
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
area segment
34.90
543.71
area segment
116794.69
18975.51
135770.2
24.79
N10Y16P.WK4
J-478
11/05/98
-------
line 1)
line 2)
Form for calculating Replacement Near-Wall Velocity in Augmented 16-point
Traverse at GPU Titus
Wall Effects Night Run 10
PORT D, USI 16pt AUTOPROBE, YAW-NULLED
Stack Area: 21,904.1 sq. in.
radius: 83.5003 in
PI
3.14159
(A)
Distance
from wail
(inches)
d= 1
d= 2
d= 3
d= 4
d= 5
d= 6
d= 7
d= 8
d= 9
d= 10
drem 10.8
(B)
Axial vel.
V-d
ft/sec
22.3
22.3
22.3
25.4
27.2
28.3
30.1
30.6
31.8
31.9
31.9
(C) (D) (E) (F) (G)
Decay vel.
avg of d, d-1
11.15
22.30
22.30
23.85
26.30
27.75
29.20
30.35
31.20
31.85
Intern
calcu
pi(r-d+1)A2
21904.10
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
lediate
lations
pi(r-d)A2
21382.59
20867.37
20358.43
19855.78
19359.40
18869.31
18385.51
17907.98
17436.74
16971.79
Area of
segment
(col D - E)
521.51
515.22
508.94
502.66
Vol. flow
in segment
(col C X F)
5814.79
11489.46
11349.35
11988.35
496.37 ! 13054.61
490.09
483.81
477.52
471.24
464.96
13599.99
14127.15
14492.84
14702.70
14808.88
(use vel. atd=11 for drem)
Total near-wall volumetric flow (total of column G)
Volumetric flow in remainder of the Method 1 near-wall equal
a) Axial velocity at drem
b) Total area in remainder segment
Subtract 3/4 pi rA2 from last entry in item 2, col E
Multiply a) by b)
Wall-effect adjusted velocity in the Method 1 near-wall equal
a) Add the values on lines 3 and 4.
b) Divide line a) by 1/4*pi*rA2
This is the substitute velocity value, V.
125428.12
I
!
area segment
31.90
543.71
17344.38
area segment
142772.5
26.07
line 3)
line 4)
line 5a)
line 5b)
N10Y16P.WK4
J-479
11/05/98
-------
This Page Intentionally Left Blank
J-480
-------