EPA-460/3-73-004
                       LOW EMISSION
COMBUSTOR/VAPOR GENERATOR
                   FOR  AUTOMOBILE
          RANKINE  CYCLE ENGINES
       U.S. ENVIRONMENTAL PROTECTION AGENCY
           Office of Air and Water Programs
        Office of Mobile Source Air Pollution Control
      Alternative Automotive Power Systems Division
              Ann Arbor, Michigan 48105

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                                           EPA-460/3-73-004
               LOW  EMISSION
COMBUSTOR/VAPOR  GENERATOR
            FOR  AUTOMOBILE
      RANKINE CYCLE ENGINES
                      Prepared by

               T. E. Duffy, J. R. Shekleton,
              R. B. Addoms, and W. A. Compton

         Solar Division International Harvester Company
                   2200 Pacific Highway
                San Diego, California 92138

                  Contract No. 68-04-0036

                   EPA Project Officers:

           P.P. Hutchins, S. Luchter, and E. Beyma


                      Prepared for

         U.S. ENVIRONMENTAL PROTECTION AGENCY
              Office of Air and Water Programs
          Office of Mobile Source Air Pollution Control
         Alternative Automotive Power Systems Division
                Ann Arbor, Michigan 48105

                      October 1973

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This report is issued by the Office of Mobile Source Air Pollution
Control, Office of Air and Water Programs,  Environmental Protection
Agency, to report technical  data of interest to a limited number of
readers.  Copies of this report  are available free of charge to
Federal employees, current contractors and  grantees, and non-profit
organizations - as supplies  permit  - from the Air Pollution Techni-
cal Information Center, Environmental  Protection Agency, Research
Triangle Park, North Carolina 27711  or may  be obtained, for a
nominal cost, from the National  Technical Information Service,
5285 Port Royal Road, Springfield,  Virginia  22151.
This report was furnished to the U.S.  Environmental  Protection Agency
by Solar Division International  Harvester Company in fulfillment of
Contract No. 68-04-0036 and has  been reviewed  and approved for
publication by the Environmental Protection Agency.   Approval does
not signify that the contents necessarily reflect the views and policies
of the agency.  The material  presented in this report may be based
on an extrapolation of the "State-of-the-art".  Each assumption must
be carefully analyzed by the reader to assure  that it is acceptable
for his purpose.  Results and conclusions should be  viewed correspon-
dingly.  Mention of trade names  or commercial  products does not
constitute endorsement or recommendation  for use.
                   Publication No. EPA-460/3-73-004

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                               FOREWORD
       This is a final technical report on the work performed under contract
68-04-0036.   The opinions, findings,  and conclusions expressed are those
of the author and not necessarily those of the Environmental Protection
Agency.

       Contract 68-04-0036 with Solar Division of International Harvester
Company,  San Diego,  California,  was sponsored by the Environmental
Protection Agency,  Division of Advanced Automotive Power Systems  Dev-
elopment,  Ann Arbor, Michigan.  It was administered initially under the
direction of Mr. F.  P. Hutchins,  and subsequently by Mr. S. Luchter and
Mr.  E. Beyma, EPA Project Officers.

       The program was conducted at Solar Division of International
Harvester  Research Laboratories with Mr.  W. A. Compton, Assistant
Director of Research and Technical Director and Mr. T.  E. Duffy, Research
Staff Engineer,  the Project Manager.   Others contributing to the program
are:  Mr. J.  R. Shekleton,  Dr. R. B. Addoms and Mr. J. C. Napier.
Geoscience Ltd. provided analysis used in Appendix VII and VIII.

       Solar's internal report number is RDR-1708-6.
                                   111

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                              CONTENTS

Section

  1        SUMMARY            .

  2        INTRODUCTION                                          7

  3        SYSTEM REQUIREMENTS                                 9

           3.1   Test Bed Combustor/Steam Generator                9
                 3.1.1   Combustor Requirements                     9
                 3.1.2   Parallel Flow-Bare Tube Steam
                        Generator Goals                             10
   .   i           3.1.3   Controls                                    11
           3.2   High Efficiency Finned Tube Steam Generator        11
                 3.2.1   Combustor                                  11
                 3.2.2   Steam Generator                            11
                 3.2.3   Controls                                    11
           3.3   Units Designed  for EPA System Contractors         12
                 3.3.1   Fluorinol-85 System                        12
                 3.3.2   AEF-78 Vapor Generator     '               13
                 3.3.3   SES Steam Generator                        14

  4        SYSTEM CONFIGURATION ANALYSIS                    15
           4. 1   General Constraints and Selection of a Rotating
                 Cup System                                         15
           4.2.  Configuration Analysis                              18

  5        COMBUSTOR                                            21
           5.1   Overview of  Combustor Section                      21
           5.2   Combustor Rig  Tests                                22
                 5.2. 1   Description of Combustor Rig                22
                 5.2.2   Control of NOX in Combustor                 26
                 5.2.3   Combustor Rig Test Results                 27
           5.3   Integrated Combustor Performance                  34
                 5.3.1   Design                                      34
                 5.3.2   Air Supply System                           39
                 5.3.3   Flame Performance                         51
                 5.3.4   Integrated System Emissions Evaluation      57
                 5.3.5   Temperature Pattern                        77

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                           CONTENTS (Contd)

Section                                                            Page

   6      PARALLEL FLOW STEAM GENERATOR (TEST BED
          UNIT)                                                     81

           6. 1   Steam Generator Core Matrix                       81
           6.2   Construction                                        82
           6.3   Performance  Tests                                 87
                 6.3.1   Mechanical Integrity                         90
                 6.3.2   Flow Stability                               91

    7      HIGH  EFFICIENCY SINGLE FLOW PATH STEAM
           GENERATOR                                             99

           7.1   Construction                                       102
           7.2   Steady State Performance         .                 105

    8      CONTROL SYSTEM                                      109

           8.1   System Description                                110
           8.2   System Components                                112
                 8.2.1  System Flow Arrangement                   112
                 8.2.2  Air Valve and Triple Valve
                       Mechanization                              112
                 8. 2.3  Air Valve                                   115
                 8.2.4  Fuel Valve                                  115
                 8.2. 5  Water Metering System                      120
           8.3   Electronic Control                                 124
           8.4   Test Results With Parallel Flow Steam Generator   125
                 8.4. 1  Explanation of Test Results                  125
                 8.4.2  Cycling and Step Transient Performance     136
           8. 5   High Efficiency Monotube Steam Generator
                 Performance                                       141

    9      ORGANIC SYSTEMS                                     153

           9.1   Fluorinol-85 System Design                        153
                 9.1.1  Design Constraints                          154
                 9.1.2  Core                                       154
                 9.1.3  Manifolds                                   155
                 9.1.4  Combustor and Air Valve Design             156
           9.2   AEF-78  System Design                             162
           9.3   Internally Finned Tubing                            165
                                   VI

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                           CONTENTS (Contd)





Section                                                            Page





   10      SYSTEM NOISE                                         169




           APPENDIX I                                           181





           APPENDIX II                                           199




           APPENDIX III                                          203




           APPENDIX IV                                          235




           APPENDIX V                                           241




           APPENDIX VI                                          245




           APPENDIX VII                                         249




           APPENDIX VIII                                         269




           NOMENCLATURE                                      337





           REFERENCES                                          343
                                  VII

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                           ILLUSTRATIONS

Figure                                                             Page

   1       Final Combustor/Steam Generator Configuration           2

   2       Emission Measurements Versus Air Valve Position
           (Power Level)                                            4

   3A     20 Percent to 40 Percent Low Frequency Cycling of
           Steam Flow                                               4

   3B     Step Changes  in Steam Flow From High Power              5

   3C     Maximum Amplitude and Frequency Cycling                51'

   4       Preliminary Combustor Test Rig                         23

   5       Schematic of Gas Temperature Sensor  and Mechanical
           Support                                                  24

   6       Combustor Side of Vapor Generator Simulator Showing
           Location of  Thermocouples                               25

   7       Emission Probe             '                             25

   8       Test Combustor Installed in Rig                           26

   9       Emission of Nitric Oxide as a Function of Air-Fuel
           Ratio and Time          •                                 28

  10       Rig Test Combustor                                      29

  11       Upstream Side of Combustor                              29

  12       Combustor Ready for Installation on Rig                   30

  13       NO£ Emissions Versus Fuel Flow                         32

  14       CO Emissions Versus Fuel Flow                          33
                                  IX

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                       ILLUSTRATIONS (Contd)

Figure                                                             Page

  15       Hydrocarbon Emissions Versus Fuel Flow                 33

  16       Combustor Exit Plane Radial Temperature Distribution
           at Maximum Flow                                         34

  17       Initial Integrated System Test Configuration With Conical
           Cup      .                                                35

  18       Combustor/Air Supply System (Drive Motor Side)           35

  19       Top View of Combustor Air Inlet to Fan                    36

  20       Fan Mounted to Control Valve Backup Plate                37

  21       Rotary Shear Plate                                        37

  22       Combustor/Air Supply System (Vapor Generator Side)      38

  23       Conical Fuel Cup                                          38

  24       Air Supply Fan                                           40

  25       Calculated Characteristics of Fan                          41

  26       Total Pressure Rise Calculated Compared to Test Points   42

  27       Actual Static Pressure Rise  Compared to  Calculated
           Total Pressure                                           43

  28       Primary and Secondary Air Metering Port Configuration
           Shown in 50 Percent Power Position                       44

  29A     Air Valve in 2  Percent Position                            45

  29B     Air Valve in 50 Percent Position                           45

  29C     Air Valve in 100 Percent Position                          46

  30       Air Valve Backup Plate                                    46

  31A     Fan-Air Valve Flow Test Rig                              47

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                       ILLUSTRATIONS (Contd)

Figure                                                             Page

  3IB      Fan Test Rig Diffuser Air Valve Section                   47

  32        Cd Versus Fan Flow for Several Metering Plate
            Orifice Areas                                            49

  33        Fan Drive Motor                                          50

  34        Fan Drive Motor Characteristics                          51

  35        Combustor/Air Supply System Test Arrangement           52

  36        Flame at 1.5 PPH                                        53

  37        Flame at 60 PPH Fuel Flow                               53

  38        Flame at 80 PPH Fuel Flow                               54

  39        Flame at 100 PPH Fuel  Flow                              54

  40        Flame at 130 PPH Fuel  Flow                              55

  41        Emission Probe Location and Configuration                58

  42        Cylindrical Cup Configuration for Emission Tests          60

  43        Cylindrical Cup With Double Heat Shield                   61

  44        Auxiliary Air Swirler Ports                               62

  45        Tangential Slots at Base of Auxiliary Air Swirler           62

  46        Recirculation Fan on Conical Cup                          63

  47        Conical Cup Emissions With Recirculation Fan (CO2
            Adjusted to Maintain NOX at 1.38 GM/KGM)                63

  48        Emissions With JP-4 and "A" = 0. 125 and  2 Heat Shields   65

  49        Emissions With JP-4 and "A" = 0. 125 With Auxiliary
            Air Swirler                                               66

  50        NO2 Emissions With A = 0. 192,  2 Heat Shields and
            Auxiliary Air Swirler                                     67

                                   xi

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                        ILLUSTRATIONS (Contd)

Figure                                                              Page

  51        CO Emissions With A = 0. 192,  2 Heat Shields and
            Auxiliary Air Swirler                                     67

  52        HC Emissions With A - 0. 192,  2 Heat Shields and
            Auxiliary Air Swirler                                     68

  53        Combustor Post Tests Recorded in Figures 50,  51  and 52  68

  54        Emissions With Gasoline, A = 0. 192 and 2 Heat Shields    69

  55        Emissions With Gasoline, A = 0.03, Auxiliary Air
            Swirler and Recirculation Fan                             70

  56        Auxiliary Air Swirler Configuration Variations             73

  57        Combustor After 70 Hours of Operation on EPA Reference
            Gasoline                                                  75

  58        Auxiliary Air Swirler After 70 Hours of Operation  With
            EPA Reference Gasoline                                  75

  59        Combustor and Steam Generator Outlet Gas Temperature  78

  60        Test Bed Vapor Generator - Water Working Fluid          82

  61        Vapor Generator Coil Connectors                          83

  62        Vaporization Coils (6 Per Row)                            83

  63        SpecialBox Connection After Burst Pressure Test         84

  64        Vapor Generator Flow and Instrumentation                 85

  65        Assembly of Two Preheater  Coils  With Special Connector
            Welded at Inside of Coils                                  86

  66        Superheater  Outlet Row Showing the Six Thermocouples    87

  67        Test Cell Flow Schematic                                 88

  68        Test Cell Steam Generator Control Panel                   89
                                  Xll

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                        ILLUSTRATIONS (Contd)

Figure                                                              Page

  69       Steam Generator After 500 Hours of Emission and
           Control Systems Tests                                     91

  70       Vaporizer Spacers After 500 Hours of Operation            92

  71       Superheater Outlet Tube Wall Temperature (Six Flow
           Paths)                                                     94

  72       Test Bed Vaporizer Steady State Performance              97

  73       Test Bed Vaporizer.  Tube Wall Temperature at
           Superheater Outlet                                         98

  74       Preheater Coils With Copper Fins                        103

  75       One of the Two Dryer Coils                              103

  76       Assembled Steam Generator                              104

  77       Steam Generator U Connections                          104

  78       High Efficiency Finned Tube Steam Generator Steady
           State Efficiency Measurements                           106

  79       Top Coil (Vaporizer) After 70 Hours of Operation          107

  80       Bottom Coil (First Row Preheater) After 70 Hours
           of Operation                                             107

  81       Combustor/Vapor Generator  Control System              111

  82       Controls System Flow Schematic                          113

  83       Triple Valve Actuator Showing Air Valve Actuation Tab    114

  84       Triple Valve Actuator With Fuel and Water Valves
           Installed                                                 114

  85       Exploded View of Fuel Valve                              116

  86       Fuel Valve Components                                   116
                                   Xlll

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                        ILLUSTRATIONS (Contd)

Figure                                                               Page

   87      Metering Slot                                             1 17

   88      Assembled Fuel Valve                                    117

   89      Reynolds Number Vs. Percent Fuel Flow for JP-4
           and Gasoline                                              118

   90      Fuel Valve Calibration                                    119

   91      Fuel Valve Calibration 1  to 10 ppm Range                  120

   92      Water Metering Valve Orifice                             121

   93      Component Parts of the Water Metering Valve             121

   94      Assembled Water Metering Valve                          122

   95      Water Metering Vavle Calibration at 50 psi Differential    123

   96      Differential Pressure Control Valve Components           123

   97      Differential Pressure Control Valve Assembled With
           Electric Actuator                                         124

   98      Electronic  Components Required to Perform Control
           Functions                                                125

   99      Steam Generator Control Transients, Step Changes
           Prior  to Installation with 44 Ib/in. Spring in AP Valve     127

  100      Low Frequency 10 to 30 Percent Ramp Cycles After
           Installation of High Gain AP Valve                         129

  101      Full Power Steady State Performance With Step
           Transients in Steam Flow                                 131

  102      High Amplitude and Maximum Frequency Steam Flow
           Cycling System Response                                  133

  103      Transient Emissions During Peak Steam Generator
           Cycling                                                   140
                                   xiv

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                        ILLUSTRATIONS (Contd)

Figure                                                             Page

  104      Open Loop Characteristics to Step Inputs in Water Rate    143

  105      Open Loop Sinusoidal Frequency Response                145

  106      Closed Loop  Transient Response With and Without
           Derivative Compensation                                 147

  107      High Frequency Cycling                                  149

  108      Response to Step  Changes in Steam Flow                  151

  109      Fluorinol-85 Combustor/Vapor Generator (Front View)    157

  110      Fluorinol-85 Combustor/Vapor Generator (Top View)      157

  111      Fluorinol-85 Combustor/Vapor Generator (Side View)      158

  112      Fluorinol-85 System Air Metering Valve Shown in 56.7
           Percent Position                                         161

  113      AEF-78 Combustor/Vapor Generator (Front View)         163

  114      AEF-78 Combustor/Vapor Generator  (Top View)           163

  115      AEF-78 Combustor/Vapor Generator  (Side View)          164

  116      Tube Cross Section   .                                   165

  117      Photomicrographs of Tube-Fin Wall                      166-7

  118      Noise Emission Microphone Location  in Test Cell         171

  119      Sound Level,  dB(A), Versus 1 /10 Octave Frequency,
           Water Pump  Only - 600  psi Outlet Pressure - 88 dB(A)
           Overall                                                 172

  120      Sound Level,  dB(A), Versus 1/10 Octave Frequency,
           Fan Only, 5700 rpm - 30 Percent,  92 dB(A) Overall        173

  121      Sound Level,  dB(A), Versus 1/10 Octave Band Frequency.
           Full System,  20 Percent Fan, 380  Ib/hr Steam,  96 dB(A)
           Overall (Background Included)                            174
                                   xv

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                        ILLUSTRATIONS (Contd)

Figure                                                             Page

  122      Sound Level,  dB(A),  Versus 1/10 Octave Frequency.
           Full System,  20 Percent Fan,  Boiler Flooded, 94 dB(A)
           Overall (Background Included)                             175

  123      Sound Level,  dB(A),  Versus 1/10 Octave Frequency.
           Full System,  50 Percent Air Valve, 780 Ib/hr Steam,
           101 dB(A) Overall (Background Included)                   176

  124      Sound Level,  dB(A) Versus 1/10 Octave Frequency.
           Full System,  50 Percent Fan,  Boiler Flooded, 96 dB(A)
           Overall (Background Included)                             177

  125      Sound Level,  dB(A),  Versus 1/10 Octave Frequency.
           Full System,  77 Percent Fan,  1200 Ib/hr Steam, 108
           dB(A) Overall (Background Included)                       178
                                 xvi

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                                TABLES

Table                                                                Page

  I         Measured Levels at Simulated Driving Cycle
            Steady State Points                                         3

  II         Emission Level Goals                                     10

  III        Fan Test Results With No Bypass - Fan Speed
            5700 RPM                                                 48

  IV        Initial Combustor Plus Fan Air Supply Test Results        56

  V         Fan Power With High Ratio Pulley                         56

  VI        Residue  Removed From First Row of Steam Generator     92

  VII       Fluid Conditions                                          100

  VIII      Summary of Performance Parameters                    101

  IX        Overall  "A" Scale Weighed Sound Level for Steam
            Generator System and Components                        170
                                   xvn

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                                    1
                                SUMMARY
        This is the final report on a program to demonstrate a low emission
 vapor generator for automotive Rankine cycle power plants.  Prog-F-a-m_g,o_aJL§_
 were to design and test a low emission system that required low parasitic
 power, had compact packaging, high steam generator efficiency and suit-
 able controls  for fuel,  air and water for the regulation of steam pressure
 and temperature.   A steam generator  with an output of 1200 pounds per hour
 at 1000°F and 1000 psia was demonstrated by tests to have weighed emissions
 below the 1976 emission standards over a simulated driving cycle.  Figure 1
 is a cross  section of the unit tested.

        Parasitic power  limitations were the major factor in determining
 the overall configuration.  Maximum available electrical power requirements
 established a  maximum ideal input to the  system of 1. 2 HP.  To flow the
 necessary air through the  system, a large frontal area steam generator was
 integrated with a low pressure drop combustor (5 inches  of water).  Low
 emissions required the maximum possible mixing velocities at the low flows.
 To achieve this'a  unique variable  flow  comtnistor design-was used in which an
 air valve splits t'fie flow between primary and secondary air injection as a
 function of power  level required.  In this  manner the pressure drop, and
 thus velocity was  maintained relatively high at low firing rates.

        Major  design features include:  rotating  cup fuel atomization and
 injection, fully modulated  controls for air, fuel and water, symmetrical air.
 distribution with no exhaust recirculation, flat spiral steam generator tube
 matrix with extensive use  of finned tubing and a straight-through combustion
 gas flow  path.  A high degree of component integration was used to allow
. co-axial  mounting of the fan and fuel cup with a  single belt drive from a DC
 side mounted  electric motor.  Performance tests on this unit showed that
"it met major  performance  goals of the program.

        Table  I summarizes the results of emission tests. All tests were
 performed with the configuration shown in Figure 1, while operating the
 steam generator at 1000°F and 1000 psia.   Emissions were measured by an
 averaging probe located two inches downstream of the vapor generator in  the
 exhaust duct.   The characteristics of the  emissions as a  function of flow are
 shown in Figure 2.

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AND
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VALVES




WATER
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                                                  EXHAUST
FIGURE 1.  FINAL COMBUSTOR/STEAM GENERATOR CONFIGURATION
       Two different types of steam generator tube matrices were fabricated
and tested.  One unit was a test bed for initial combustor development and
was used to investigate the feasibility of parallel flow passages for compact
forced circulation steam generators.  Parallel flow development tests were
to provide background for  future organic system designs normally requiring
multiple flow passages.  Parallel flow instability was observed and analyzed
in the first unit but could be controlled by correct scheduling of the startup
procedure.  At near design conditions,  serious instabilities disappeared.  A
steady state flow imbalance between passages caused outlet temperature
differences between each of the six parallel flow paths,  but did not present
a serious operational problem.  A second unit made extensive use of extended
surfaces and had a measured efficiency of 86 percent LHV at full  steam flow
and 93 percent LHV at 25 percent steam flow.

       Both the parallel flow unit and the single  flow path high efficiency
steam generator were integrated and tested with fully modulated electronic
control system tailored for each unit.

       Steady state control system performance was within ±50 psi and ±50°F
of the setpoints.  Transient response to the steam flow  demand changes
resulting from rapid opening and closing of a throttle valve are shown in
Figure 3. Pressure and temperature outlet errors were maintained at values

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                                TABLE I
         MEASURED LEVELS AT SIMULATED DRIVING'CYCLE
                       STEADY STATE POINTS
Fuel Flow
9pph
12
15
25
Time
(%)
3
76
20
1
N02
(gm/kgm)
1.31
1.32
1.35
1.25
HC
1.0
0.8
0.9
0.5
CO
9.8
9.5
9.0
6.2
                    TIME INTEGRATED LEVELS FOR
                        DRIVING CYCLE (10 MPG)

N02
HC
CO
Actual
0. 38 gm/mile
0. 24 gm/mile
2.75 gm/miie
*ER - Emissions Ratio =
Limit
0.40 gm/mile
0.41 gm/mile
3. 4 gm/mile
Actual
Limit
ER*
0.95
0.59
0.81

of less than ±50 psia and ±50°F during "normal" driving steam flow demands
shown in Figure 3A.  Under severe steam flow demands (Figs. 3B and 3C)
steam conditions were maintained within a ±150 psia and ±100°F control
band. An open loop schedule of fuel-air-and-water valve  position as  a
function of steam flow was the primary control mode.  A closed loop  electronic
control of firing rate provided a trim regulation of pressure.   Temperature
trim was also done electronically with a thermocouple in the superheater
outlet providing a signal to regulate feedwater rate.

       Sound level measurements were made on the system and showed levels
that can be made acceptable in a closed  engine  compartment given noise
suppression treatment.

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    1.4

     .8
     .4
     0
E
01
   3.0
   2.0
   1.0
     0
      0
                               LIMIT"
             .4
             .3
             .2
             .1
             0
                                                                 O)
                                     LIMIT —
                                             .8
20        40        60
       AIR VALVE POSIT ION %
80
100
             .4

             0
    FIGURE 2.  EMISSION MEASUREMENTS VERSUS AIR VALVE
               POSITION (POWER LEVEL)
_
1 1 1 1

1


— 20 SECONDS
1 1 1 I 1 I 1 I I 1
	
1 I
  i  i  i  i
  i  i  I  I
                                     1250
                                     1000
                                     750      OUTLET PRESSURE
                                     500  PSIA 250 PSI/CM
                                     250
                                     0
                                     100
                                     80
                                     60   .    STEAM THROTTLE
                    40
                    20
                                         o/
                                         1°
                    6g5
                                              POSITION 20% CM
                                         800  SUPER HEATER OUTLET
                                         585  TEMPERATURE °F TYPE K
                                         oF   5 MV/CM
                                              FUEL-AIR-WATER
                                         %    METERING VALVES
                                              POSITION 20%/CM
   FIGURE 3A.  20 PERCENT TO 40 PERCENT LOW FREQUENCY
                CYCLING OF STEAM FLOW

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1 1 1 1

V
1
^ 	 	
^20SECONDS I
1 1 1 1 1 1 1 1 1 1 1 1
                                     1250
                                     1000
                                     750      OUTLET PRESSURE-
                                     500  PSIA 250 PSI/CM
                                     250
                                     0
                                     100
                                     80
                                     60   .    STEAM THROTTLE
  40
  20
                                         o/
                                         /»
  905
- 695
                                              POSITION 20% CM
                                         800  SUPER HEATER OUTLET
                                         585  TEMPERATURE °F TYPE K
                                         op   5 MV/CM
                                     100
                                     8°       FUEL-AIR-WATER
                                     6°  %    METERING VALVES
                                     40       POSITION 20%/CM

                                     0
FIGURE 3B.  STEP CHANGES IN STEAM FLOW FROM HIGH POWER
f\
(_
1 1 1 1

1
^ A A A A A f\ f\ /— ^__ n 	 -f
^yvWWVV/v \j\J\s — J_
— 20SECONDS I
	 II
              i  i i  i  i  i  i	i  i  i  i  i
  1250
  1000
  750       OUTLET PRESSURE
  500  PSIA 250 PSI/CM
  250
  0
  100
  80
  60  „,     STEAM THROTTLE
  40        POSITION 20% CM
  20
  0
  1115
                                     905
                                         '1010
                                     695 800  SUPER HEATER OUTLET
                                         585  TEMPERATURE °F TYPE K
                                         °F   5 MV/CM
                                     100
                                     80
                                     60
                                     40
                                     20
                                     0
           FUEL-AIR-WATER
      %    METERING VALVES
           POSITION 20%/CM
 FIGURE 3C.   MAXIMUM AMPLITUDE AND FREQUENCY CYCLING

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       Two organic fluid vapor generators were designed as backup for EPA
system contractors.  AEF-78 and Fluorinal-85 organic fluid vapor generators
were designed to interface with the same type of combustor tested with the
steam  generators described above.  Both used a rectangular straight tube
array with machined manifolds for return bends.  An all brazed construction
was used with extruded internal fins incorporated to  increase the heat trans-
fer on  the organic fluid side.

       The results  of the program proved that a low  emission compact vapor
generator could be  developed to meet the emission and control requirements
for automotive vehicles. The emission levels obtained, however,  were
borderline.  Further development work in this concept will be required
before  sufficiently large emission margins were available for the normal
tolerances required for vehicle applications.  Among the paths available
for lowering emissions are added pressure drop and  addition of exhaust
gas recirculation.  Since these changes would increase the parasitic power
demands, future work  should be based upon a vapor generator optimized
for a particular engine  system.

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                                  2
                            INTRODUCTION

         Rankine cycle engines are the most  highly developed external combus-
tion  system with much of the world's power being generated by such power
plants.  However, little development progress had been made to reduce
emissions and improve the system and components for application at power
level suitable for automobiles.  Emissions, efficiency,  packaging, controls,
and cost problems required solutions that could only be fully evaluated by
combined component technology advancements and automobile system demon-
strations.  A compact low emission vapor generator with controls compatible
with low emissions and automotive duty cycles is one of the major components
requiring advancements.   Solar, under contract to EPA, has demonstrated
two different steam  generators designed to meet the requirements of an
automotive system.  A low emission combustor based upon the results of  an
earlier  Solar combustor demonstration program contracted by EPA (Ref.  1)
has been the  basis of the design described in  this report.   Integration of these
combustor control concepts with specially designed compact vapor generators
forms the basic problem attacked by this project.

         The purpose of this work was to demonstrate by means of test results
that  a practical fully integrated steam generator had emissions below the 1976
Federal Standards.  Major goals of the program are:

          • High turndown range

          • Compact packaging

          • Low emissions during transients

          • Stable vapor generator operation

          • Accurate steady state control of  outlet pressure and superheater
            temperature

          • Sufficient control capability to prevent excessively high or low
            pressures and temperatures at the superheater outlet or burn-
            out failures during the large amplitude and frequent  steam flow
            demand changes required by normal automotive stop and go
            driving

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           • Low parasitic power

           • Low noise

         Three different fluids were required to be evaluated through the design
phase of the program.  Water, Fluorinol-85 and AEF-78 vapor generators were
designed specifically to interface with Steam Engines Systems,  Thermo Electron
and Aerojets' vehicle packages.  Each of these companies is on contract to the
EPA to develop a complete automotive Rankine Cycle system.  Solar's steam
generator program was to provide backup capability for this critical component.
At the  end of the  design phase it became apparent that the greatest gain to the
technology would be for Solar to concentrate its development tests on water
systems alone.   This decision in no way was based on technical tradeoffs
between organic based fluids and water for the automotive engine, but simply
on development cost analysis.  However, one of the two steam (water) gener-
ators tested was  designed  to specifically obtain test data on a potentially
significant problem of organic vapor generators' parallel flow  stability.
                                     8

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                                   3
                        SYSTEM REQUIREMENTS
         Two  steam generators have been designed and tested in this program.
The first unit was a test bed steam generator to evaluate its effects upon
emissions,  parallel flow,  and  the control system.  Efficiency was not  stressed
in this unit in order to expedite construction (no extended surfaces).  A second
unit designed  and tested placed emphasis on efficiency and elimination  of
parallel  flow instabilities.  It incorporated extensive finned tubing and  single flow
path in the critical vaporization and superheater tube sections.   Three other
units were designed for the automotive systems being developed by EPA.
Each of these systems had a different fluid and required an envelope designed
to interface with each of the three system contractors.

3. 1  TEST  BED COMBUSTOR/STEAM GENERATOR

         This unit incorporated six  parallel flow paths in the steam generator
and bare tubes.  Efficiency requirements were made sufficiently low to allow a
bare tube unit that could be fabricated entirely at Solar with a minimum of lead
time.

3.1.1  Combustor Requirements

           • Heat release 2. 5  x l.O6 BTU/hr based on LHV

           • Turndown ratio 40:1

           • Fuel: kerosene or JP-5, EPA reference unleaded gasoline was
                   also used when  it became available

           • Size:  24 inches square by 20 inches high not including exhaust
                   ducting

           • Weight: 175  pounds

           • Startup time  to full vapor generator in less than 15 seconds from
             a cold start.

           • Maximum electrical input to be less than 2. 5 HP electrical
             equivalent

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             Emissions to be below the 1976 Federal Standards.   Test
             results are to be compared to the limits  assuming a  10 MPG
             fuel consumption as shown in Table II.

                                TABLE II

                        EMISSION LEVEL GOALS
Constituent
Hydrocarbon (HC)
Carbon Monoxide (CO)
Oxides of Nitrogen NO + NO2
reported as (NO2)
Grams/Mile
0.41
3.4
0.4
Grams /Kilo gram*
. 1.42
11.8
1.38
"'Calculated assuming 10 MPG
3.1.2  Parallel Flow-Bare Tube Steam Generator Goals

           •  Fluid:  water

           •  Pressure:  1,000 psia

           •  Flow:  1525 Ibs/hour of steam

           •  Temperature: 1000eF

           •  Efficiency: greater than 80% based on LHV, 75% based on HHV
             (Note actual efficiency  was 78% LHV at full flow)

           •  Core diameter:  21.5 inches

           •  Core length:  less than 8 inches

           •  Maximum air side pressure drop: 3 inches of water

           •  Maximum water side pressure drop:  250 psi

           •  Construction: bare  tubes to allow rapid construction
                                    10

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           • Flow arrangement:  to be similar to an organic vapor generator
             with respect to air side  and working fluid side temperature and
             flow distributions.

3.1.3   Controls

           • Air-Fuel Control.  An automatic control of air and fuel flow is
             required to maintain the equivalence ratio at optimum levels
             across the entire  40 to 1 turndown range.

           • Steam Generator.  An automatic control of feed water, fuel and
             air flow is required to maintain the superheater outlet at 1000°F±
             100°F and 1000 psia ± 100 psi during steady state and transients
             expected in an automotive operation.  Although exact flow rate
             changes are not precisely known, high rates can be anticipated.
             Flow rate is basically determined by engine speed, (a relatively
             slow factor) and cutoff valve actuation  (a fast parametei- requi re-
             ing only a few milliseconds for full  travel). Actual test results
             were obtained with transients rates of  as high as  900 pounds per
             hour steam flow change per second.  These transients were
             made in steps as large as 80 percent of full flow.

3.2  HIGH EFFICIENCY FINNED TUBE STEAM GENERATOR

3.2.1   Combustor

         Identical to the test bed combustor, see paragraph 3.1.1.

3.2.2   Steam Generator

           • Efficiency:  85% based on LHV, 79.6% based on HHV (Note
             actual full flow was 86%  based on LHV).

           • Construction: finned tubes

           • Flow arrangement:  no parallel flow passages  in superheater  or
             vaporizer sections.   This prevents  "chugging" flow instabilities
             and simplifies the control since only a single outlet tube can be
             monitored for overtemperature.

            • All other constraints the same as the parallel  flow unit,  see
             paragraph 3.1.2.

3.2.3   Controls

         Same as test bed unit,  see paragraph 3.1.3.
                                     11

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3.3  UNITS DESIGNED FOR EPA SYSTEM CONTRACTORS
3.3.1   Fluorinol-85 System
                             Fluorinol-85 Side
             Flow
             Pressure Drop
             Outlet Pressure
             Inlet Temperature
             Outlet Temperature
             Heat Transfer to Fluorinal-85
                                 Gas Side
             Air-Fuel Ratio
             Flow
             Pressure Drop
             Inlet Temperature
             Efficiency

             Outlet Temperature
10,000 Ibm/hr
130 psi maximum
700 psia
287° F (at max.  power)
550°F
2.25 x 106 BTU/hr (reference)
25:1 (JP-5 fuel)
3740 Ibm/hr
3.0 inches water column
25008F (mean)±250°F
81% based on HHV (reference)
86. 5% based on LHV (reference)
427°F (reference)
NOTES:
         The maximum tube wall temperature during steady state operation
shall be less than 575°F.  The maximum temperature was based upon an
assumption that the gas side inlet temperature is 2750°F and a velocity
deviation at the  inlet plane of the vapor generator is 10 percent above the design
mean design value.

        Envelope requirements: Outside envelope dimensions were within
the following configuration.  A 20 inch diameter combustor section shall be
oriented in the vertical firing down position with a six inch air inlet at the top.
The 20 inch diameter shall extend vertically downward 10 inches to a rectan-
gular vapor generator section.  The vapor generator is designed to fit within
dimensions of 1 5 inches by 25 inches by a core height of  10 inches (including
transition). It shall be symmetrically installed below the vapor generator to
give an overall height of 20 inches.  Envelope parameters were held
constant in the design phases.

        Efficiency is defined by the relationship

             Q  = WfT|H
                                   12

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where   Q  =  heat transfer rate to working fluid

         T)  =  efficiency

        Wr  =  fuel rate

         H  =  heating value of fuel

The fuel is assumed to  be JP-5 with HHV =  19,800 BTU/lb, LHV  = 18, 550
BTU/lb.

3.3.2   AEF-78 Vapor Generator

                               AEF-78  Side
             Flow
             Pressure Drop
             Outlet Pressure
             Inlet Temperature
             Outlet Temperature
             Heat Transfer Rate to AEF-78
                                 Gas Side
             Air-Fuel Ratio
             Flow
             Pressure  Drop
             Inlet Temperature
             Efficiency

             Outlet Temperature
19,300 Ibm/hr
50 psi goal, 100 psi maximum
1000 psia
396°F
650°F
2.02 x 106 BTU/hr (reference)
25:1 (JP-5 fuel)
3400 Ibm/hr
3.0 inches of water column
2500«F (mean) ± 250°F
80% based on HHV (reference)
85. 5% based on LHV (reference)
455°F (reference)
NOTES:
         The maximum tube -wall temperature during steady state operation
shall be  less than 720°F.  This shall be a local temperature and shall not
represent more than a small percentage of the total  fluid temperature.  Maxi-
mum temperature shall be based upon the assumption that the gas  side inlet
temperature is 2750°F,  and the gas velocity at the inlet plane is 10 percent of
the design mean value.

         Envelope requirements.  Outside envelope requirements  shall be
within  the following  configuration.  A vertically downward firing combustor
shall be  mounted on top of the vapor  generator..  The assembled unit shall
have an outside diameter of less than 26 inches and an overall height to the
exit plane of the vapor generator of 17 inches.
                                    13

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3.3.3  Steam Generator

        Preliminary specification for a steam generator for vehicle installa
tion are listed below.
                                 Water Side
             Flow
             Pressure Drop
             Outlet Pressure
             Inlet Temperature
             Outlet Temperature
1200 Ibm/hr
150 psi goal,  250 psi maximum
1000 psia
220°F
1000°F
             Heat Transfer Rate to Water    1. 58 x 106 BTU/hr (reference)
                                 Gas Side
             Air-Fuel Ratio
             Flow
             Pressure Drop
             Inlet Temperature
             Efficiency

             Outlet Temperature
25:1
2670 Ibm/hr
3 inches of -water column
2500° F mean ± 250° F
85% based on LHV
79.6%  based on HHV
462 F  (reference)
The preliminary estimate of the maximum envelope allowed for this system
is a horizontally firing (towards back of vehicle) combustor with a maximum
diameter of 19.5 inches.  Total length of the combustor/vapor generator
shall be less than 16 inches.
                                    14

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                                   4
                   SYSTEM CONFIGURATION ANALYSIS
4. 1  GENERAL CONSTRAINTS AND SELECTION OF A ROTATING CUP
     SYSTEM

         Achieving emission levels below the 1976 Federal emission levels is
a challenging objective for a combustor rig operating independently.   Con-
straints  imposed by addition of practical automotive operations significantly
complicate the task.  Automotive requirements that have  a major influence
on the  design include:

           • Compact packaging

           • High turndown ratios

           • Low parasitic power

           • Virtually continuously varing power level  demands

           • Average  steam rate of approximately  10 percent of maximum in
             the Federal driving cycle

           • Cold startup

           • Rapid warm up

           * Minimum superheater temperature overshoot (to prevent
             lubricant and seal degradation)

           • Narrow band superheater outlet temperature control to main-
             tain temperature high as is safe for maximum cycle efficiency

           • Minimum overshoot in pressure control to prevent damage or loss
             of fluid through relief valve

           • Minimum water hold up to minimize energy  release hazards
                                    15

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        A typical example of the design constraints imposed by the high
turndown ratio can be seen in a brief review of the air-fuel ratio requirements.
To maintain the air-fuel ratio within ±10 percent of the optimum at the critical
power output of 10 to 15 percent, the valves cannot leak more than ±1 percent
of their maximum rated flow values if all other errors  are ignored.  As  a
consequence new and unconventional approaches have been incorporated to
allow accurate metering of the three input fluids, air, fuel and  water across
wide turndown ranges with compact components.

        Two basic approaches are available to obtain low emission.  One
attractive method is to premix the  air and fuel in a vapor form  prior to com-
bustion.  If the fuel and air are homogeneously mixed,  this method can ensure
low emissions by maintaining the overall air-fuel ratio sufficiently lean (and
thus low flame temperatures) to prevent the formation of  significant NOX.
Emission  levels an order of magnitude below the Federal level  are theoretically
possible with this approach. Several major problems indicate that this may
not  be an acceptable approach for an automotive system.  Initial startup  emissions
of HC with cold walls are difficult to keep within limits and may represent
the  same order of magnitude startup problem as with the  present automotive
spark ignition engine.  To ensure rapid vaporization and uniform mixing of
air  and fuel in a premixed system, large mixing volumes, high air velocities,
small fuel  droplets and large heat input values are required.  This equates
into the need for a high power consumption air atomization system, high
power consumption in the combustor fan, recirculation of high temperature
exhaust or combustor gases (with associated pumping losses) and the  need for
long mixing volumes.  Since large volumes of premixed gases are  necessary
for  correct mixing,  a flashback explosion hazard is present.  The  required
high degree of turndown necessary (40 to 1) for low fuel consumption in the
driving  cycle makes design of flame arresters difficult and unreliable at
very low velocities.  Transient performance, as  with startup emissions,  is
also questionable since the heat of vaporization added to the mixture  must be
matched to the instantaneous changes of fuel flow.  If this dynamic balance
is not maintained relatively closely, high inlet gas temperatures may occur or
"wet wall" operation will occur.  Both of these  conditions are undesirable since
they affect transient air-fuel ratios and can cause higher  emissions.

        Direct liquid fuel injection into the combustor to circumvent the above
problems  minimizes parasitic power and bulk.  Analysis  and  development
tests have  demonstrated that fuel injection, droplet vaporization, air-fuel
mixing, rich reaction and final lean burnout can achieve low emissions in an
overall  lean direct liquid fuel injection system.
                                    16

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All types of injection and atomization systems were considered.  These are
listed with  their limitations.

            • Pressure Atomizer - This system cannot form a fuel spray at
             the low fuel flows required (down to approximately 3 pounds per
             hour), it needs small orifices subject to contamination,  and the
             high fuel pressures mean an expensive fuel pump.

            • Dual Orifice Pressure Atomizer - As above but with more
             small orifices  to reduce reliability and added filtration costs.

            • Air Assist Pressure Atomizer - Requires auxiliary high pressure
             air compressor that can consume more parasitic power than the
             combustor fan.  This is a key element since fuel economy is
             directly and strongly dependent upon the combustion system.
             In the Federal  Driving Cycle the average  roadload power is
             approximately  10 percent.  Thus, addition of a typical 1 HP air
             assist compressor can cause fuel economy drops of approxi-
             mately 10 percent.  Air assist is also limited in turndown range
             thus requiring  control of the air  assist compressor flow as well
             as the main air flow into the combustor.  This adds additional
             complexity and cost over and above the  relatively expensive
             compressor and its drive system.  It also has the limitation of a
             variable drop size  dependent on fuel flow and a relatively narrow
             spray angle.

            • Air Assist (Ultrasonic) - Same as above but with less proven
             reliability.  The  spider wire that holds the resonant chamber
             can and has, at Solar, been observed to collect  spray and form
             large drops.

            • Electrostatic and Vibrating -  Auxiliary power source  required,
             have not demonstrated capability of operating over the wide range
             of fuel flows.  Performance not proven.

         Solar's initial  program for a low emission combustor (completed
June 1971,  Ref. 1},  forms the technical basis for selecting the design config-
uration.  A  2 x 10° BTU/hr combustor plus integrated air and fuel  control
system was demonstrated to have low emissions across a wide range of fuel
flows. Design features determined to be of significance for low emissions
were  used in synthesizing the design being  reported on:

            • Rotating cup atomization due to its capability for wide turndown,
             low power consumption,  insensitivity to contamination,  wide
             spray angle uniform droplet size, low fuel pressure and good
             ignition characteristics.
                                   17

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            • Fully modulated air and fuel control systems mechanically
             synchronized to maintain  desired air-fuel ratios across the
             entire 40 to 1 turndown range.  On-off controls result in ignition
             and shutdown hydrocarbon emissions during the continuously
             cycling operations for automotive usage.

            • Emphasis on symmetric air flow from inlet through fan combus-
             tor and vapor generator to ensure the  best possible uniformity
             of air-fuel mixtures.

            • Control of air flow  rate into combustor by means of a valve
             rather than speed changes of the fan-motor drive system since
             inertia lag could cause significant delays or mismatch between
             air and fuel flow.

         The rotating cup atomization and fuel injection system selected has
demonstrated that it has the  following features:

            • Requires essentially zero parasitic power to operate if carefully
             packaged into system (only several watts are necessary to
             accelerate and  overcome fuel friction  with this system).  If it is
             coaxially driven by the combustion air fan, the additional load is
             difficult to measure.

            • Has proven turndown  capabilities of greater than  100 to  1
             (Ref.  1).  Spray quality and angle control do not change over
             this large turndown range.

            • No small orifices are required thus eliminating sensitivity to
             contamination and improving reliability.

            • No pressure drop required other than  to overcome steam
             generator gas side pressure  drop.  Thus low cost standard
             automotive fuel pumps can be used.

            • Ideal  spray angle for  ingition.  Excellent ignition characteristics
             have been obtained since the fuel spray pattern can be accurately
             repeated and the  spark plug located at the  point the fuel impinges
             on the wall.

4.2  CONFIGURATION ANALYSIS

         Integrating the above features  with the specified goals (Section 3)
determined the overall system configuration (Fig. 1).  Emission goals dictated
that the maximum possible pressure drop be utilized for mixing velocities  in
the combustor.  Emission levels are also dependent upon combustor  exit
                                    18

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temperatures.  NO formation rates are negligible below 3200°F.  From
previous tests (Ref. 1) an exit temperature of 2500°F ± 250°F provided an
adequately conservative exit temperature to meet emission goals.  With a
design exit condition of 2500°F and a specified heat release of 2. 5 x 10°
BTU/hr an equivalence ratio of 0.62 is obtained.  An air flow of 3400 pounds
per hour can be calculated using these factors.  During the preliminary design
it was assumed that an overall electric motor-fan efficiency of 50 percent
could be obtained.   Therefore, ideal air horsepower available is only 1.25 HP.
At 3400 pph this limits the fan pressure rise to  less than 10. 5 inches of water.
Preliminary analysis and sizing of the air valve determined that 2.0 inches of
water pressure drop was needed for air metering (see Sec. 5).  Thus a total
of 8. 5 inches pressure drop was the maximum available for the combustor,
steam generator and exhaust ducting.  An allowance of 0.75 inch for exhaust
leaves 7.75 inches of water.

        Emission goals require that the largest portion of the available 7.75
inches of water pressure drop be allocated to the combustor.   Since the air
pressure drop across  the steam generator is exponentially  dependent upon
its frontal area, it is essential to maintain the maximum frontal area.  Prev-
ious experience has indicated that a straight through flow arrangement with a
minimum of flow transition between the combustor and steam generator would
result in the most uniform distribution of air in the combustion chamber.  As
a consequence, the full diameter available was used to design a tube matrix
that required essentially no turns or flow transition between the combustor
and steam generator.  Using the maximum diameter and a compact bare tube
matrix (for the test bed system),  the pressure drop is 2.75 inches of water.
The remaining 5.0 inches of water pressure was used to establish the com-
bustor pressure drop.

         From the  above steps the steam generator and combustor diameter
were  established.  Efficiency and pressure drop criteria determined the  tube
matrix depth (6.20 inches).  An overall height limit of 20 inches is the only
major design  constraint remaining to be satisfied.  A combustor emissions
goal is also a major criteria at this point.  To prevent combustion products
from  quenching before reaction is completed, it is good design practice  to
keep the  combustor length as long as possible (particularly  with low pressure
drop systems).  Design  studies emphasizing low parasitic power, compact
and symmetrical flow distribution finalized the configuration around an inte-
grated radial  flow fan coaxially mounted with the combustor and steam gener-
ator (see Fig.  1 and Section 5 for detail description).  This configuration
resulted in the minimum of parasitic power consumption since the same motor
that drives the fan  is used to drive the  fuel atomization and  injection cup.
Fan bearing and rotating cup bearing friction losses are minimized  as is
mounting complexity.  No external ducting is required since the fan diffuser
discharges directly into a large diameter  air metering valve.   A large dia-
meter valve is essential to provide low flow losses and the high degree of
                                    19

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symmetry essential to uniform mixing at low pressure drops.  The air valve
uses 20 ports circumferentially spaced around the combustor outer diameter
to direct air into an air swirler section.  All flow is completely symmetric
in the air and fuel injection systems.  Non-symmetrical turns, flow areas,
pressure gradients, or velocity gradients either upstream or downstream
of the combustion chamber require especially careful  attention to prevent
maldistributions that would normally increase emissions.  As a consequence
of this design investigation,  the 20 inches of total height was divided as
follows:

           • Steam generator                        6.20 inches

           • Fan,  diffuser and air valve             1.60

           • Fan inlet and drive pulley             2.00

           • Primary air swirler and insulation     2.20

           • Combustion chamber                   8.00
                                    20

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                               COMBUSTOR


5. 1   OVERVIEW OF COMBUSTOR SECTION

         System restraints required that an integrated approach be taken in
the design of the following combustor subsystems:

            • Air supply distribution and control

            • Fuel atomization, injection and distribution

            • Combustion chamber configuration

It was necessary to treat combustion as a systems  integration problem in
order to meet the following major  constraints:

            • Ideal  power limit of 0.83 HP  (7 inch pressure drop at
             3400 pounds per hour air flow)

            • Envelope limits of 24 by 24 inches square (including electrical
             drive motor) and 20 inches high

            • Aerodynamic and geometric physical interface with a large
             frontal area steam generator

As discussed in the previous section, these constrains when coupled with
the approach of using a rotating cup atomization system predetermine the
following combustor characteristics:

            • Pressure drop:  7 inches of water total (5 inches in combustor
             and 2  inches across air valve)

            • Diameter:  20 inches

            • Length:  8 inches

            • Air Flow:  3400 pounds per hour
                                    21

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           • Fuel flow:  135 pounds per hour with JP-4, JP-5 or unleaded
             gasoline

         These parameters were derived at the preliminary design phase of
the program and remained consistent through combustor rig tests  and
evaluation of the integrated system with both steam generators.  Since the
combustor and steam generator were designed to directly interface with
essentially no transition, the geometrical configuration of the combustor was
essentially frozen from the beginning of the program.  Pressure drop at
maximum flow was similarly frozen.  Emissions development thus concentrated
on improving performance by relatively minor changes in mixing,  flow  splits,
air-fuel ratios and other adjustments not requiring basic configuration
modifications.   This  section describes the  work performed to obtain the final
emission test results summarized in Section 1.  Initial combustor rig tests
are discussed first.  From these  tests the  total air-flow and flow split
between the primary and secondary air injection ports was  obtained.  Next
follows an analysis of the air supply fan, air control, and distribution system
designed to be compatible with the combustor test  rig results. A discussion
of the combustor development tests for a fully integrated air  supply fuel and
steam generator system concludes this section on  combustion.

5.2   COMBUSTOR RIG TESTS

5.2. 1  Description of Combustor Rig

        In order to verify all basic  design assumptions, a  series of full
scale combustor tests were performed prior to design finalization. Figure 4
schematically depicts the combustor  test rig setup.  High pressure air  enters
the air flow measurement sections from a high pressure compressor. Air
flow into the  combustor is measured  by means of one of three parallel orifice
runs.  Because  of the wide turndown  requirements, 40 to 1, three  different
orifices of 0.75, 1.5  and 3 inches diameter are used.  Each orifice is sized
for optimum  Reynolds number at air  flows  corresponding to the respective
fuel flows midway in the ranges of 109 to 23, 23  to 5.0 and  5.0 to 1 pounds
per hour.  The orifices are sharp edged, with corner pressure taps,  and
have upstream flow straighteners to minimize aerodynamic influence  of the
metering section from the upstream shutoff valves.  These  valves  are
manually operated so that air can be  diverted to  the metering orifice appro-
priate to the  air flow  required.

        Fuel flow is  measured by three variable area float type  meters
having ranges of 1 to  10, 10 to 110 and 50 to 170 pounds per hour.  Each flow
meter has  been  calibrated prior to use in these tests by means of a weight
flow versus time measurements at three or more points across the flow
range.
                                   22

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                                                                      _ FROM
                                                                        TANK
     TO NDIR AND
     CHEM LUM
     COOL LINES  —•
       MASS AVERAGE
       EMISSION PROBE
    SIMULATED VAPOR
    GENERATOR, AIR-
    COOLED AND
    INSTRUMENTED
   •^—i EXHAUST

 VAPOR GENERATOR
 BACK PRESS
 ORIFICE PLATE
48-INCH LONG
EXHAUST DUCT
                                     AIR METERING
                                     ORIFICE PLATE
                                                                           AIR INLET
              3.0 ORIFICE
              (SHARP EDGED
              AIRFLOW
              MEASURING
              ORIFICES)

         FLOW STRAIGHTENER
           COOLING AIR
           SUPPLY
           (WALL TEMP
           CONTROL)

         SIMULATED VAPOR
         GENERATOR SECTION"
                         COMBUSTOR
                        "SECTION
 AIR MEASUREMENT
"SECTION
             FIGURE 4.  PRELIMINARY COMBUSTOR TEST RIG

        Metered air is delivered into the combustor from a plenum chamber
that has provisions for installation of air metering orifices to simulate a
part of the aerodynamic  interaction of the air metering valve.  Air is di-
rected from this valve plate into the combustor outer case for distribution
into the primary air (swirl plate) and secondary air holes located around
the outside of the cylindrical portion of  the combustor liner.  Fuel is
delivered by means of a  dynamic seal into the drilled shaft of the cup motor.
After passing through the rotating shaft to the cup which both atomizes and
distributes the fuel in a flat spray into the 20 inch diameter combustor.
Initial testing was  performed with a perforated  Inconel radiation shield across
the exhaust plane of the combustor.  The majority of  tests performed including
the emission results described in this report, were run  without the radiation
shield.

         Immediately downstream of the radiation shield an asperated thermo-
couple  probe has been installed to monitor temperature.  The tip consists of a
four inch long triple shielded platinum rhodium (type  S) thermocouple.  It is
mounted on a long  cooled stainless  steel tube that allows  the probe to be
traversed across the entire diameter of the tail pipe (see Fig.  5).  One-half
                                       23

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                                                        STAINLESS STEEL
                                                        SUPPORT

                                                    GAS FLOW TO
                                                    ASPIRATOR
                             AIR COOLING
                             INLET
                   •TEMPERATURE
                   PROBE
                                                                JUNCTION
                                                             RADIATION SHIELD
                                                         '2ND RADIATION SHIELD

                                                         '3RD RADIATION SHIELD
      FIGURE  5.
SCHEMATIC OF GAS TEMPERATURE SENSOR AND
MECHANICAL SUPPORT
an inch downstream of the thermocouple probe is the simulated air cooled
vapor generator.  Welded to the surface of the coils are twelve type  K
thermocouples (see Fig.  6 for thermocouple location).

         An emission probe is installed at plane 4 inches downstream of the
radiation shield.  Figure 4 shows its installation in a twenty inch diameter
duct. A total of 36 holes are used to provide equal area sampling across the
20 inch diameter tail pipe. A large diameter tube collects the gas sample
for delivery to the gas analysis equipment sampling lines.   Temperature of
the sampling probe  is controlled by cooling  water flowing through passages
around the probe.  Three  thermocouples are located along the length of the
probe to ensure that the sampled gas is quenched to a sufficiently low tem-
perature to prevent further reactions (Fig.  7).  It is approximately 42 inches
from the outlet of the tail  pipe to prevent recirculation of fresh air into the
probe.

         A back pressure  orifice plate is installed immediately behind the
emission probe.   It is a flat plate orifice with 60 holes located at radial
positions to simulate a uniform flow restriction equal to the  remaining flow
restriction of the actual vapor generator.  A 48 inch long tail pipe was used
to minimize buoyancy circulation and swirl recirculation of outside air.
                                    24

-------
FIGURE 6.  COMBUSTOR SIDE OF VAPOR GENERATOR SIMULATOR SHOW-

               ING LOCATION OF THERMOCOUPLES
      DUCT,
              • 1
     COOLING
     EXHAUST
      36- 0.03 HOLES
      EQUAL AREA SPACED
                        n
                                  CENTER LINE
                                  OF COMBUSTOR
                                    r<
                      0.03 IN. HOLE
                                                  n
                                           THERMOCOUPLE
TC JACKS
TYPE K
                                                              11=-.=.==,
                                          "COOLING PASSAGE


                             FIGURE  7.   EMISSION PROBE
                                                                                  f  AIR PURGE
                                                                                  1  CONNECTION
                                                                              TO FID
                                                                  SEAL TUBE    HEATED LINE
                                               25

-------
            FIGURE 8.  TEST COMBUSTOR INSTALLED IN RIG

         Figure 8 shows the overall test rig in operation.  The large diameter
flange on the right is at the combustor exit plane and is used to seal the tail
pipe to the combustor to prevent possibilities  of air leakage into the tail pipe.
Any leakage at this point could cause errors in emissions as measured by
probe  in tail pipe.  The emission probe location is immediately downstream
of the  simulator (Fig. 4).  All emissions were measured as described in
Appendix I.

5.2.2   Control of NOX in Combustor

         Since liquid fuel (unleaded gasoline) is directly injected into the com-
bustor the  combustion process is complex.  A considerable effort has been de-
voted to  sophisticated computer modelling of the reaction kinetics of rotating
cup combustors.  Reference 1 summarizes  this analysis.  What analysis and
hundreds of hours of low emission combustor  development testing proves is
NOX emissions are the critical species and  must be minimized by preventing
reaction from  occurring at high temperatures.  This rate of formation of
NO is:
                                      67000
              dt
"(N2)(02)1/2P1/2
      1/2
where NO, N2 and O2 are concentrations of nitrogen,  oxygen,  and nitric oxide
in mole fractions,  t is time in seconds, T is temperature °K,  and P is
                                    26

-------
pressure in atmospheres.  Although this equation only holds for a homogeneous
mixture,  it helps explain the importance of rapid vaporization and mixing.
Droplet burning and combustion during the transition from rich to lean burning
both occur with local zones at stoichiometric temperatures.  Only a small
percentage of the fuel reacting at these temperatures will cause unacceptable
high NOX emissions.

         Since the local reaction zone  air-fuel ratio determines the tempera-
ture, the formation of NO as a function of air-fuel ratio and mixing versus
reaction time rates are as shown in Figure 9.  Because NO must be maintained
well below 50 ppm,  it is seen that the  mixing time must be kept very low and
the air-fuel ratio must be generally leaner than 20 to  1 to maintain reaction
zone temperatures below 3200°F and above 2500°F to keep excessive NO from
forming,  but  still sufficiently high to complete the oxidation of HC and CO in a
reasonable volume.  The important design rules and the methods of implem-
enting used throughout the combustor development are:

            • Provide rapid and uniform vaporization prior to reaction (no
             droplet burning).  The  cup causes a uniform droplet spray to be
             directed in a 180 degree  spray pattern that has a large geometric
             surface area at the injection point.  Use  of swirl flow cause
             recirculation of high temperature combustion products to assist
             in vaporization.  Cup rotation is opposite the tangential swirl
             component from the air injection port causing high relative
             velocities and consequent rapid vaporization.

            • Rapid mixing of vapor with swirl air to obtain (consistent with
             parasitic fan power requirements) on overall lean mixture.  It
             is a design goal to minimize reaction in this zone since the
             mixture must change from rich to lean in this zone.   Reaction
             at near stoichiometric conditions would produce large amounts
             of NO thus mixing rates must be made faster than reaction
             rates to keep flame temperatures below 3200°F.  By main-
             taining high air  velocities and a high swirl cone angle around
             the cup's fuel spray pattern, both of the above conditions are
             attempted to be  optimized.

            • Elimination of small pockets of slowly mixing zones or high
             temperature reaction.  High air velocities and design with com-
             plete symmetry are incorporated to eliminate this cause of NO
             formation.

  5.2.3  Combustor Rig Test Results

          Figure 10 shows the arrangement of the combustor used for rig
  test.  Photographs of both sides of the rig test unit are shown in Figures 11
                                    27

-------
10,000
  i.ooo U
 I
 o
 z
   100 h
- 67000  I-     ,1/2
          (O2)
                                                                     ("IN;. (02)'/2 P'/Z   1
                                                                     L    T'«       J
                                                     NO, N2 and O2 = CONCENTRATIONS
                                                                GRAM MOLS/CM3

                                                            I = TIME, SECONDS
                                                            T = TEMPERATURE. °K
                                                            P = PRESSURE
                                10    12    14    16    18    20    22   24   26    28
                                   AIR/FUEL RATIO
FIGURE 9.  EMISSION OF NITRIC  OXIDE  AS A FUNCTION OF AIR-FUEL,
               RATIO AND  TIME
                                             28

-------
                     SECONDARY AIR (92) .359 IN. DIA HOLE
                                                                           SIMULATOR TUBES
I'll .
                                                                               TO EMISSION CART
                      FIGURE 10.   RIG TEST COMBUSTOR
                FIGURE  11.  UPSTREAM SIDE  OF COMBUSTOR

-------
      FIGURE  12.  COMBUSTOR READY FOR INSTALLATION ON RIG
and 12.  Rig air is supplied to an annular opening around the inlet to a swirler
section.  Air is accelerated inward across the swirler obtaining a rotary
component as it is turned by the swirl blades.  Twelve curved sheetmetal
blades were  used  in the tests reported on in this section.  Figure 11 shows
the location and general shape of these swirl blades as traced by  their res-
pective weld oxidation lines on the combustor dome.  A swirler exit nozzle
is found by the annular opening between the outside diameter of the  cup and a
circular  hole cut into the combustor dome.  In the rig tests a 3 inch diameter
cup driven by variable  speed electric motor was used to atomize  and dis-
tribute the fuel.  A hollow armature shaft was used to supply fuel to the cup.
Both JP-4 and JP-5 fuel was  used with similar results.  Gasoline was not,
at this stage of the program, specified as the  development fuel.  A 20 inch
diameter flame tube with a total axial length of 8 inches before the first
row was  used in all tests.  No film cooling is provided on either the vapor
dome or  flame tube to avoid possible emissions complications. All cooling
is by  convection from the air passages on the outside or by means of radiation.
Inconel 600 was used for both the dome,  flame tube and flexible flame  tube
seal at the exit end of the flame tube.  Inconel held up relatively well even
at gas temperatures well above the design point of 2500°F. Oxidation was
no problem but some serious distortion of the dome and cracking of the flex-
ible flame  tube to outer housing seal was observed after less than 50 hours
of operation.  An  earlier prototype combustor fabricated from 321  stainless
steel  showed rapid deterioration due to oxidation and distortion.
                                     JO

-------
      Two basic  configurations were tested on this rig combustor.  Initially
all of the air was supplied over the cup in the annular port around the cup.
This would permit the fastest and most uniform vaporization,  mixing,  and
reaction.  However,  to achieve relatively good emissions, the
annular air injection port had to be reduced in area to minimize internal
recirculation into the swirler.  Thus the pressure  drop at high flows was
much greater than the maximum limit  of 5 inches.  In order to allow more air
to be injected into the combustion zone a "secondary  air" admission system
was devised.  A  series of ports were machined into the flame  tube to increase
the  total flow area of the combustor.   Tests were performed with both con-
figurations.  Initial tests were performed without the secondary flow ports in
the  flame tube.   All air  entered around the cup through the primary or "high
pressure air injection arrangement".  After completion of these tests the
secondary ports  were machined into the combustor, thus  allowing injection of
air  through both  the primary and secondary ports simultaneously.  This  split
flow configuration or "low pressure loss air injection arrangement" yielded
data for  the high fuel flow end of the power range.

      Figure 13 shows the overlapping  NOX emission  results with the two
configurations analyzed by rig tests.  With air admission through both  the
primary and secondary ports,  the  emission characteristics are seen to
steadily  rise as the fuel flow is decreased from 135 to 60 pounds per hour
(pph).  At a point near maximum allowable pressure drop of 5  inches of water,
the  NOX  level was well below the goal of 1.38 gm/Kgm.  As the pressure drop
and consequently the  mixing velocities  dropped with lower fuel flows, the
emissions increased. At approximately 80  pph fuel flow and an air side
pressure loss of 1 .4  inches  of water, the NOX level exceeded the program's
goals.  During these  tests the air cooled vapor simulator could not be kept
supplied with enough  air (because of rig air limitations) to keep its tempera-
ture sufficiently  low to prevent it being damaged.  As a consequence, it
required removal at all test points above 60 pounds per hour of fuel flow.
Since the emission averaging probe was fixed downstream of the simulator
coils,  their removal  at high fuel flows  effectively increased the actual com-
bustion length by approximately 4 inches. All test  points below 60 pph were
with the two coils that comprised the simulator cooled to below 1000°F  to
provide both quenching and  radiation cooling of the  reaction products 8  inches
from the dome.

      With only the primary air being admitted into the  combustor over the cup,
the  "S" shaped "high  pressure  loss" emission characteristic was obtained.
At a pressure drop of 4.25  inches of water good NOX  emission levels could be
obtained at a fuel flow of 70  pph.  (It should be noted that a pressure drop of
approximately 16 inches of  water would be  necessary to allow enough air into
the  combustor at the  maximum rated fuel flow of 135  pph with this high pressure
loss configuration.)  As  in the  case of  the low pressure loss configuration,
the  emissions increased as fuel flow and corresponding air pressure loss
                                    31

-------
           Lt.
           E =
           01
           -X

           01

            CM
2.0

1.8
1.6
1.4
1.2
1.0
0.8
0.6
0.4
0.2
                                                1.38 N02 LIMIT
                   HIGH PRESSURE LOSS
                   AIR INJECTION ARRANGEMENT-
                         LOW PRESSURE LOSS
                         AIR INJECTION ARRANGEMENT'
                 0     20     40     60    80
                                FUEL FLOW (pph)
                                 100
120   140
           FIGURE 13.  NO2 EMISSIONS VERSUS FUEL FLOW

was decreased.  A reversal of this trend occurred when the vapor generator
simulator was reinstalled into the  rig at flows below 60 pph.  A decrease in
NOX emissions resulted until again the characteristic  increase in emissions
as air velocities fell to extremely  low levels. NOX  emissions exceeded the
limit at 10 pph fuel flow and an air side pressure drop of approximately 0. 1
inch of water .
      The drop in NOX emissions when the vapor generator was installed was
thought to be caused by radiation cooling by the cold walls of the combustor.
Another factor that could have been important is the effects  upon swirl air
flow patterns and recirculation zones within the  reaction zones.

      CO and HC emissions were low throughout all these tests (Figs. 14 and
15).  HC emissions were generally below the background levels and thus
showed little or no effects of quenching problems on the vapor generator
simulator tubes.  At full fuel flow a temperature traverse (Fig. 16) showed
good uniformity with deviations well  within the ±250°F goal.  The average
temperature is approximately  200°F  below the theoretical exit temperature.
This is again within the expected limits  since the combustor has a highly
radiant flame  that loses  energy by direct radiation.

      Results  of these tests established  the approach  to be taken in the fully
integrated system using  fan air,  control valves and the steam  generator.
Since integration with  these components was certain to have  significant
effects upon emissions,  further development on the rig could not be justified
because of program scope limitations and lack of adequate flexibility to simulate
all  of the important fan,  valve  and steam generator effects upon performance.

-------


25
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18
16
14
1?
10
8
6
4
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-
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11.8 CO LIMIT
-
-
-
-
- 	
• ^**~~ i — ._«- i • ii r1 , , , , , *
               20
40    60    80   100
    FUEL FLOW(pph)
120   140
       FIGURE 14.  CO EMISSIONS VERSUS FUEL FLOW


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£ .U
1.8
1.6
.4
1.2
1.0
0.8
0.6
0.4
0.2

_
1.42 HC LIMIT
-
-
-
-
-
>>^^
ll II l V l «l • 1 1 1 1 T-
               20    40    60    80    100    120   140

FIGURE 15.  HYDROCARBON EMISSIONS VERSUS FUEL FLOW
                               33

-------
        O.D. OF
        FLAME TUBE-
    10
        CENTERLINE OF
        COMBUSTOR	
                    CO
                    3
                    Q
                    <
                    o;
                    C£.
                    o
                    h-
                    00
                    ^
                    CQ
                    2
                    o
                    o
                            135 LB/Hrt  8.9% C02
        AVERAGE
        TEMPERATURE 2329°F
        DISTRIBUTION +96°F
                   -124°F
                            i i
                              2100           2300          2500
                               VAPORIZER INLET TEMPERATURE (°F)
     FIGURE  16.
COMBUSTOR EXIT PLANE RADIAL TEMPERATURE
DISTRIBUTION AT MAXIMUM FLOW
      As a consequence of these rig tests a variable geometry combustor was
required.  From design studies a mechanically simple system,  the split
flow combustor,  was designed and put into final integrated systems tests.

5.3   INTEGRATED COMBUSTOR PERFORMANCE

5.3.1   Design

      Figure 17 is a cross section of  the integrated combustor,  air supply
and steam generator.   All test data reported from this section was with the
fully integrated system.  Air was supplied by the  systems integral fan and  the
steam generator was operating at approximately 1000°F and 1000 psia.   As
discussed in the previous sections,  parasitic power limitations required the
use of a type of variable geometry combustor defined here as a "split flow"
arrangement.  Practical mechanization of this requirement was achieved by
utilization of a simple shear valve immediately upstream of the  combustor"s
injection passages.  A  detailed description of the  system is given below.

      Air is drawn into the unit by a fan mounted on the top of the unit on the
centerline  axis of the combustor tube  and steam generator coils.  Coaxial
with the fan is the rotating cup for atomization and distribution of the fuel.
Both the fan and cup are belt driven by a DC electric motor mounted to the
side of the combustor within the 24 by 24 inch square envelope (see insert at
bottom left of Fig.  17 and Fig. 18 and 19).  Between the blade tips  of the fan
                                    34

-------
1 PRIMARY AIR
r 	 ^^ 	 1 1 \ ,--,
[BELT DRIVE \ \








FAN MOTOR
^24 IN.—

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                                              EXHAUST

 FIGURE 17.  INITIAL INTEGRATED SYSTEM TEST CONFIGURATION
             WITH CONICAL CUP
FIGURE 18.  COMBUSTOR/AIR SUPPLY SYSTEM (DRIVE MOTOR SIDE)
                                 35

-------
       FIGURE  19.  TOP VIEW OF COMBUSTOR AIR INLET TO FAN
and the air control ports a radial flow diffuser section converts velocity head
to 10 inches of water (Fig. 20).  Complete symmetry is maintained by spacing
the ports equally around the  circumference of the main valve plate.  A rotary
shear plate  (Fig. 21) meters air to the primary at a ratio and schedule that is
a function of fuel flow.  After being metered by the valve,  air flows radially
inward through the swirler and then radially outward around the  rotating cup
with swirl flow.  At above 50 percent power the secondary passages are also
opened allowing air to flow into the combustion zone through 90 holes  located
4 inches from the dome in the  20  inch diameter flame tube.  Figure 22 shows
the relative location of the 8.8 inch diameter primary port around a conical
cup and the  90  secondary injection ports.   A radiation shield is installed
(Fig.  22) directly below and attached  to the ID  and OD of the dome plate.  It
is made from Hastelloy X  with eight radial expansion slots to prevent thermal
expansion forces being transmitted into the dome  and the swirler blade
assembly.

      A four inch diameter conical cup (Fig.  23) was used in the initial stages
of the integrated systems testing.   It  was a compromise size matched to the
rotational speed  of the fan.  In combustor  rig  tests the best  results were
obtained at  10,000  rpm with a  3.0 inch diameter cup.  However,  satisfactory
results were obtained at as low as speed as 4500 rpm.  An existing fan was
found to have ideal characteristics (except it operated at 5800 rpm) for both

-------
FIGURE 20.  FAN MOUNTED TO CONTROL VALVE BACKUP PLATE
              FIGURE 21.  ROTARY SHEAR PLATE
                                7

-------
FIGURE 22.  COMBUSTOR/AIR SUPPLY SYSTEM (VAPOR GENERATOR SIDE)
                          I    I   !



                               6  INCHES
I   '    I   '   1  '   \.
CHES	\
                   FIGURE 23.  CONICAL FUEL CUP

-------
packaging and aerodynamic integration into the system.  It was decided to
increase the cup diameter by one inch to more closely match the tangential
velocity and droplet size used in the test rig phase of the program.   Two
possibly important side effects of this change were not considered as being
important.  One was the heat input surface area of the cup increased by over
70 percent as did the volume  of reaction products  in the  zone immediately
below the cup.   As development tests progressed several modifications were
made to improve emissions possibly associated with this change in diameter.

5.3.2   Air Supply System

      At maximum rated conditions the air supply and control system must
deliver 3400 pounds of  air per hour to the combustion system.  Flow control
into the combustor must be symmetrical to prevent hot spots and higher
emissions.   A fully modulated control of air mass flow synchronized with the
fuel is required across the entire 40 to 1 heat release range. In addition to
these features,  the air  supply system must be integrated into the overall
design to minimize the  completed package's overall length and volume.
Length  can be made a minimum by using a radial fan coaxial with the com-
bustor axis.   Figure 17 shows a cross-section of a radial fan with the
desired characteristics integrated into the unit. Figure 24 is a photograph
of the unit after modification  required for installation into  the combustor.
It is  a standard automotive fan designed to produce minimum noise.  The
initial unit used was brazed to allow transmission of drive load through its
shroud.  Subsequent units did not appear to require brazing.  It has  28 fully
shrouded blades with the following parameters:

         Tip diameter  = 9. 1 inches

         Tip width  =  1.15 inches

        Inlet blade angle, /?j  = 57 degrees  (to a radius)

        Outlet, /?2  =  25 degrees (backsweep)

        Number of blades, Z  = 28  blades,  0.05 inch thick

A detailed analysis of its performance characteristics at several speeds is
shown in Figure 25.  The correct combustor flow and pressure  ratio (3400
pounds per hour at 10 inches of water) can be obtained by operating the fan at
5740 rpm.  At this speed and flow the efficiency map calculated for this unit
indicates a total efficiency of 66 percent.  Figures 26 and 27 are plots of the
pressure and efficiency characteristics at 5700 rpm.  Experimental pressure
versus flow test points  are also included in this curve.
                                    39

-------
                      I  '   I   '   I     I     I     I     \
                                  (=; INCHES            \
                     FIGURE  24.  AIR SUPPLY FAN
      A mechanically simple shear valve has been designed to provide the
split flow characteristics required for combustion.  Figure 28  schematically
shows the principle of the valve.  A series of twenty contour ports (Fig. 29)
have been cut into a moveable plate that rotates about the axis of the com-
bustor case.  A corresponding series of matching ports have been machined
into the backup plate that forms one wall of the diffuser and the support for
the fan bearing mount  (Fig. 30).  By rotating the  metering plate orifice a
total of 34 degrees,  the air flow is regulated from 100 percent  to less  than
2 percent.  The arrangement and  shape  of the  ports has been designed to
provide separate control of primary and secondary air into the combustor
case (secondary air) and swirl vane compartments (primary air). A seal
ring is used to isolate and prevent leakage between the primary and  secondary
air passages.  At the 50 percent flow position, the secondary air is  completely
shut-off and all air is  directed into the primary zone through the swirler.
Basically for  this geometry of combustor, it was determined that a flow split
of 0. 55 pounds per second into the primary zone and 0.42 pounds per second
of air  into the secondary zone gave optimum emission performance at  full
power conditions (135  pounds per  hour fuel flow).  A maximum pressure drop
of 5 inches of water was used for  full flow conditions.  At lower power levels
tests  demonstrated that mixing  rates could not be  maintained due to  low
pressure  drops if fixed flow areas were maintained across the  combustor.
One approach that was shown satisfactory by rig tests was to inject all the air
                                     40

-------
                                                               EFFICIENCY
                                                                        20
                                                                    11,470 RPM
                                                                     456 fps
        tip dia. 9.1 in.
        tip width 1.15 in.
         ^56.6° (to rad.)
          9 25° backsweep
           28 blades-.050 in. thk
   15
8,600 RPM
 342 fps
                        Desired Operating
                          point for
                         Combustor
                                        psia
FIGURE 25.  CALCULATED CHARACTERISTICS OF  FAN
                                  41

-------
                                       3472
                                   AIR FLOW IN POUNDS PER HOUR
    FIGURE 26.
         TOTAL PRESSURE RISE CALCULATED COMPARED
         TO TEST POINTS
through the swirler at low flows.  This approach could also provide low
emissions at the high flow rates but an unacceptably high pressure  drop would
be necessary (16 inches of water) if 100 percent of the air was injected through
the swirler.

      Ten primary and secondary ports are used to obtain good symmetry
and uniform air distribution within the combustor.  Design of the valve is
dependent upon matching it with the fan, diffuser, combustor and vapor
generator characteristics.  Rig tests  were performed to obtain the  basic
data necessary for design.  Figure 31 was the flow rig designed to  simulate
the actual metering valve flow interaction with fan and diffuser.   Tests
results are compiled in Table III.  Figure 27 gives static fan pressure rise
versus flow. Figure 32 shows the variation of the coefficient of discharge, Cd,
for the air metering orifices versus flow and orifice open area Am  (in.^).
The term, Cd,  is used in the following equation for calculating volume flow
across the orifice.
W
          m
              = (7.617) (60) CdA
                                m
- PV)
(i)
                                     42

-------
                                      MAXIMUM REQUIRED
                                         FLOW
                                       3485        4646
                                    AIR FLOW IN POUNDS PER HOUR
FIGURE 27. ACTUAL STATIC PRESSURE RISE COMPARED TO CALCULATED
             TOTAL PRESSURE

where   W   is flow across metering orifice (Ib/hr)
                                   •j
         y is density of air in lb/ft^

         Ppe -  Py  is pressure difference across metering plate (inches of
                    water column)

Cd is found through the above equation (1) and the relation:
         W
           m
where Wy is flow calculated from the downstream plenum duct pressure Py
exit area (Ay) data.  The coefficient of discharge for the plenum duct orifices
is assumed to be 0.65 for all cases.  Figures 27 and 32 contain the important
interface data necessary to design the metering valve.  From  Table III and
Figure 27 it is seen that no significant stall characteristics exist with the
fan- diff user arrangement.

      Provisions had been made to fabricate a bypass valve to prevent fan
stall instabilities from causing maldistribution of air into the combustor.
However, since the fan  exhibits a near uniform  static pressure characteristic
                                     43

-------
                           BVCKUP PLATE
                              OPENING
   SECONDARY
      PORTS
                                            PRIMARY
                                           /  PORTS
                               CENTER OF
                              COMBUSTOR
FIGURE 28.  PRIMARY AND SECONDARY AIR METERING PORT
            CONFIGURATION SHOWN IN 50 PERCENT POWER
            POSITION
                            44

-------
FIGURE 29A. AIR VALVE IN 2 PERCENT POSITION
FIGURE 29B.  AIR VALVE IN 50 PERCENT POSITION
                       45

-------
FIGURE 29C.  AIR VALVE IN 100 PERCENT POSITION
      FIGURE 30. AIR VALVE BACKUP PLATE

-------
BYPASS
PORTS
 FAN
            FIGURE 31 A.  FAN-AIR VALVE FLOW TEST RIG
      FIGURE 3 IB.  FAN TEST RIG DIFFUSER AIR VALVE SECTION

-------
              TABLE HI
FAN TEST RESULTS WITH NO BYPASS
         FAN SPEED 5700 RPM
	

Fan Exit
Total
Pressure
PT
(in.H20)
13.5
10.3
11.1
8.7
11.0
12.8
11.5
10.9
10.2
11.6
11.2
13.9
12.2
10.0
10.0
10.4
13.3
12.8
12.2
11.8
13.1
12.8
12.6
12.4
12.4
12.4
Dynamic
Pressure
PD
(in. HO)
Zi
4.9
3.3
3.9
3.8
2.4
4.2
4.0
4.1
2.1
4.4
2.2
5.0
3.6
2.5
2.5
3.6
4.4
3.9
3.2
2.7 .
4.2
4.1
4.2
4.2
4.2
4.1
Static
Pressure
Upstream
Metering
Orifice
PFS
(in.H20)
10.9
9.75
9.15
7.35
11.25
11.0
10.2
9.4
10.35
11.05
10.2
10.95
10.5
10.05
9.9
9.9
10.95
10.65
10 . 45
10.35
10.85
10.55
10.45
10.35
10.35
10.4


Metering
Orifice
Area
AM
(in.2)
40
40
40
40
20
20
20
20
20
20
20
10
10
10
10
10
2
2
2
2
1
1
1
1
1
1

Static
Pressure
at Duct
O.D.
Pv
(in.H20)
10.45
8.7
6.85
3.05
7.5
9.5
4.45
1.55
7.4
9.6
8.05
8.2
10.4
4.75
2.1
0.7
1.7
6.05
8.4
10.1
6.5
4.15
0.95
0.3
0.1
0.0

Duct
Exit
Open
Area
Av
(in.2)
4.71
9.42
18.8
37.7
9.43
4.72
18.9
37.7
9.43
4.72
7.07
4.72
0
9.43
18.9
37.7
4.71
1.57
0.785
0
0.785
1.57
4.71
9.42
18.8
37.7


Flow
Leaving
Duct
wv
(Ib/hr)
1230
2244
3975
5319
2100
1180
3240
3820
2085
1190
1630
1100
0
1670
2330
2560
496
312
184
0
162
258
371
417
480
.___

Coefficient
of Discharge,
Cd, for
Metering Orifice

.34
.44
.53
.52
.433
.385
.5397
.545
.485
.395
.444
.530

.580
.667
.674
.656
.585
.517
	
.625
.821
.969
1.05
1.21

                 48

-------
     FIGURE 32.
                         1000  1500  2000 2500  3000  3500 4000  4500  5000
                          VOLUME FLOW LEAVING DUCT, Wy (LB/HR)
Cd VERSUS FAN FLOW FOR SEVERAL METERING
PLATE ORIFICE AREAS
from 100 percent down to complete shutoff of the air valve,  it was possible
to design a simple single shear plate valve without the complexity of a bypass
valve.  Prior to final sizing of the valve ports,  it was necessary to establish
the actual coefficient of discharge and its variation with flow and port opening
(Fig. 32).  Since the velocity of approach is  relatively high from the diffuser
to the ports and at 90 degrees to their flow orientation,  a nonuniform Cd is
expected.  Figure 32 indicates the variation  between a 40 to 1 area ratio of
port sizes is acceptable and is within ±10 percent of a Cd of 0. 5 at the area
size approximately proportional to the required flow shown by dotted lines.

      Port sizing is based upon a Cd of 0. 5 and application of the flow
equation (1).  To permit a reasonably  small  radial valve dimension a full
flow pressure drop of 2 inches of water has been used.  With this pressure
drop the full flow areas for primary air (0. 55 pounds per sec) is: 22.3 in^
and secondary air (0.45 pounds per sec) is 16.9 in^ for a total flow area of
39.2 in^.  Ten ports each are used for the primary and secondary flow con-
trol areas.  Ports are equally spaced around the valve to provide symmetrical
air flow.  In the case of the primary air the  ports are located to  individually
feed air into 10  separate swirl chambers to further ensure uniform air
distribution (see Fig. 28).  A linear response to valve position is provided
by contouring the ports to account for the variation of pressure drop across
the valve at reduced flow conditions.  A constant fan discharge static
pressure of 10 inches of water is maintained across  the entire flow range by
                                    49

-------
use of a  nearly constant speed 28 volt compound wound DC motor.  At full
power the pressure drop is 10 inches of water, 2 inches across the air metering
valve, 5 inches across combustor and 3 inches across the vapor generator.  At
the 3  percent power level there is nearly zero pressure drop across combustor
and vapor generator with the full ten inches pressure drop taken across the
metering valve.  Linear response is obtained by calculating the open area for
each valve position using the power level dependent pressure drop across the
valve.  Resulting contours are thus high at the  100 percent flow side and low
at the reduced power positions (Fig. 29).

      A DC electric motor drives the fan through a belt.   A search for a
compact motor with good efficiency resulted in selection of a Model 1000
Hoover  Electric unit.  Availability, small size (Fig.  33) and light weight
(13 pounds) were the primary factors used to finalize its selection.  Efficiency
at maximum rated conditions is  only slightly better than 60 percent (see Fig. 34).
Since the ideal air horsepower is  1.2 HP and the fan is 68 percent efficient,
the shaft power into the fan is 1.8 HP.  From Figure 34 the electrical power
input  for 1.8 HP is 2120 watts or  2.8 HP (electrical equivalent).  This is
slightly above the goal of 2. 5 HP but could be improved to less than 2. 5 HP
if a motor  with an efficiency of  greater than 72 percent were installed.
Although aircraft motors can be made in this range, no automotive motor of
this efficiency has been located and may require special design.
                     FIGURE 33.  FAN DRIVE MOTOR
                                    50

-------
       10000
        8000
       3
       2
                                hQ OVEFJLI.'-I£TJ? 1C CPUPANJf
                              MODEL 1000^PERFORMANCE CURVE
                                     28 VOLTS  D.C.
              60
o
u.
        6^00 u 60
       in     O
       z     ^
       o 4000 £
       P     Q.
       3     1
        2000 g
           ' £C
            o:
            3
            O
— , . __


/
^-
\/'
R.P.M.^

:FF:C;E>:CY

x
X
x
^-"

Out
~X 	


^*"
,-- — ^^

3Ut POW
	

„.,-•-"
^
.T^TM.

3r Requi


E

red at F

^
lectrica

an Effic


-^"
Input P

iency =
zs
^
^•^

/
ower =
=
	 _ —
O.fifi
1.8 fTp*
i^f
7 —
/
2120 W
2.8 HP

                    02    0.4     06    08    1.0     1.2
                                 OUTPUT HORSEPOWER
                                                            I 6
                                                                 ! 8
          FIGURE 34.  FAN DRIVE MOTOR CHARACTERISTICS

5.3.3   Flame Performance

      An initial step in the evaluation of the integrated system was a visual
examination of the flame.  Symmetry and flame length can be quickly evalua-
ted by this procedure.   These tests were  performed in a horizontal position
with all system components installed except for the steam generator.

      Figure 35 is a schematic of the test arrangement and instrumentation
used to make a preliminary evaluation of  the closely coupled air  supply and
combustor.  At a given  air valve setting fuel flow was varied to obtain
optimum flame performance as determined by visual inspection.  Static
pressure rise across the fan and pressure drops across the primary and
secondary  ports  of the combustor were measured by three manometer read-
ings each (located approximately 120 degrees around the circumference  of
the unit).   Current and voltage to the drive motor were recorded  as was the
fan speed.   Figures 36 through 40 are records of flame performance during
the integrated systems tests.  In general  the results were acceptable from
visual symmetry and flame length considerations.  Potential problems such
as diffuser  instabilities  and flow  separation due to interaction between fan,
diffuser, air valve and swirler did not appear to occur, or were not significant
enough to cause apparent asymmetry or downstream hot or cold patterns in
the flame.   Good correlation between design point and actual pressure drops
across metering valve and combustor were also  recorded.  One major
                                     51

-------
              ROTATIONAL
              AIR VALVE
              POSITION 0 to 100%

                            SECONDARY
                            AIR
         PRIMARY
         AIR
    FAN BLADES

    PULLEY
    DRIVE
  FUEL IN
Wf
2 to 135 PPH
                                                48-INCHES LONG
                                                EXHAUST DUCT,
      FIGURE 35.  COMBUSTOR/AIR SUPPLY SYSTEM TEST
                  ARRANGEMENT
                               52

-------
     FIGURE 36.  FLAME AT 1. 5 PPH
FIGURE 37.  FLAME AT 60 PPH FUEL FLOW
                    ;

-------
FIGURE 38.  FLAME AT 80 PPH FUEL FLOW
FIGURE 39.  FLAME AT 100 PPH FUEL FLOW

-------
                                                              4 Inch Cup
              FIGURE 40.  FLAME AT 130 PPH FUEL FLOW
problem discovered was with the matching of fan and motor characteristics.
Electrical input power (see Table IV)  ranges from 1100 watts (1. 5 HP) at 3
percent flow to 2360 watts (3.2 HP) at 96 percent flow.  At 22 percent power
(near the average duty cycle requirements) the electrical power required was
1.7 HP.   All of the input power levels were  well above calculated values.
Analysis of  the problem indicates that a mismatch between the fan load speed
characteristic and the motor  speed-voltage-curvent  relationships was the
cause.  In order  to operate the fan at  5700 rpm voltages below design point
were necessary.   As a consequence,  higher than design currents were recorded,
increasing I^R losses and  reducing efficiency.  A new pully drive ratio was
installed to  obtain a better speed match and  has  reduced the input power
requirements by  allowing the motor to operate at higher speeds and voltages
(28 volts).

      Table V lists results of several of the test cell operations with com-
plete system including the vapor generator.   Current values  range from 55 to
73 amps with the new pulley arrangement.  Previous results in the same flow
range varied from 70 to 100 amps or  a reduction of approximately 30 percent.

-------
                        TABLE IV





INITIAL COMBUSTOR PLUS FAN AIR SUPPLY TEST RESULTS

Power
Level
%
3
7.5
22
48
55
59
74
85
96

Fuel
Flow
(Ib/hr)
4
10
30.3
65
75
80
100
115
130

Air Valve
Position
% Open
5
10
20
40
60
60
80
90
97

Fan Discharge
Static Pressure
(in. of water)
10.3
11.2
10.5
9.5
8.4
8.1
7.6
7.1
7.0
Combustor Pressure
Drop (in. of water)

Primary Secondary
Plp P2s
<0.1 <0.1
<0.1 <0.1
<0.2 <0.1
1.2 <0.1
5
4.5 0.4
4.5 2.4
4.9 3.9
4.9 4.6

Fan
Speed
(rpm)
5900
6150
5900
5750
5500
—
5400
— .
—

Motor Input
Power

(Volts) (Amps)
21 53
22.8 60
23 55
23 70
23 80
22.5 83
22.5 94
22.5 100
22.5 105
                         TABLE V
          FAN POWER WITH HIGH RATIO PULLEY




Fan


Water



Air





Air Valve Position
Fuel Flow
Fan Speed
Volts
Amps
Flow
Press In
Press Out
Temperature Out
Fan Out
P rimary
Secondary
V.G.


%
PPH
RPM
Volts
Amps
PPH
PSIG
PSIG
OF
In. ofW.C.
In. of W.C.
In. of W.C.
In. of W.C.
Run No.
#1
46
56.5
5700
24
55
1600
370
260
400
8.7
1.0
0.25
0.4
#2
69
83
5700
25
65
1600
580
460
454
8.6
5.5
1.0
0.8
#3
82
94
5680
25
71
1600
660
530
468
8.5
5.5
2.3
1.0
#4
90
101.5
5680
25
73
1600
690
590
473
8.5
5.5
3.0
1.15
                            56

-------
5.3.4   Integrated System Emissions Evaluation

      Initial combustor test and development was performed with all the
systems and components assembled as shown in Figure 17.  Steam conditions
at the outlet of the  unit were kept at design conditions to ensure quenching
radiation effects and aerodynamic recirculation of the steam generator were
correct for emissions analysis.

      The emission probe was located two inches downstream of the vapor
generator in an exhaust plenum (Fig. 41).  It has 36 sampling ports located
across the major diameter of the vapor generator.  A Beckman Model 315A
infrared analyzer (using a 41 inch long 150 ppm full range nitric oxide NDIR
analyzer) was used for NO, CO and CO2 measurements.  Beckman's Model
402 FID  hydrocarbon analyzer was used for HC emissions.  Thermo Electron
Corporation's Chemiluminescent  Analyzer  Model 10A equipped with a high
temperature-thermo-reactor -was used to measure  NO and NO + NO2«  Values
of N©2 reported were recorded by the chemilumine scent analyzer.   Beckman's
NDIR nitric oxide analyzer was operated in parallel with the Chemiluminescent
unit as a double check by an independent measurement method.  Good correla-
tion between the two methods of measurement were observed throughout the
tests.  In general,  the NDIR would be two or three  parts per million higher
than the  Chemiluminescent analyzer.  This bias  is caused by the much greater
sensitivity of the NDIR to water vapor in the exhaust.  By replacing the
"Drierite" filter immediately upstream of the NDIR analyzer every few minutes
the high  bias of the NDIR could be eliminated.  Difficulties due to water conden-
sation with the Chemiluminescent analyzer have  been resolved by use of a water
preheater and an electrically heated sampling line. Water condensation on the
last rows of the vapor generator and in the sampling and analyzing portions of
the system were an emissions measurement problem during the first weeks
of testing.  Addition of a water preheater to the  feed water circuit increased
the inlet temperature to over 185°F.  This temperature simulates the condenser
outlet temperature in an automobile. At 185"F  the  tube wall temperature was
well above the  dew point of water vapor in the exhaust and no further problems
were observed with either NOx of HC measurements.
      Little or no NO£ formation has been observed in the exhaust from the
vapor generator.  Two or three parts per million of NO2 have been observed
in some of the initial tests but normal test results show only a  scatter that is
probably inherent in the instrument's basic accuracy.  (See Appendix I for a
more detailed discussion of the emission measurement instrumentation.)

      The initial rig tests used a three inch diameter cup normally operating
at 10, 000 rpm.  Design of the integrated combustor air valve, fan and vapor
generator required the fan and cup shaft to operate at a speed between 5, 000
and 6,000 rpm to match fan characteristics.  From variable speed tests and
analysis of the three inch diameter cup,  it was determined that good atomization


                                    57

-------
  DUCT
LOOOOOOOOOOOOOOOO

  o
 COOLING
 EXHAUST
  36- 0.03 HOLES
  EQUAL AREA SPACED
     TC         TC |          TC
              CENTER LINE
              OF COMBUSTOR
           GAS FLOW

            \    \
    0.03 IN. HOLEX        /THERMOCOUPLE
                                                      SEAL TUBE
                                                                   FLEXIBLE
                                                                   HOSE
                                                                TO NDIR
                                                                HEATED LINE
                                                                   4 AIR PURGE
                                                                   1 CONNECTION
TO FID
HEATED LINE
                                 COOLING PASSAGE
     FIGURE 41.  EMISSION PROBE LOCATION AND CONFIGURATION

could be obtained at lower  speeds but a larger diameter cup would be re-
quired.  A four inch diameter conical cup was incorporated and tested  in
the complete system.  Emissions of HC and CO were well within limits,
however, NOX emissions were slightly above limits.  At fuel flows of less
than approximately 20  pounds per hour,  it was  not possible to lower emissions
of NOX below the 1976  limits.  Analysis of these results indicated that  the
probably cause of the problem was a lack of adequate mixing rates because
of the  low pressure drop across the combustor's air swirler at low air
flows.  In particular it was theorized from flame observations, that a
relatively slow burning mass of fuel vapor was reacting in a "dead" region
immediately downstream of the cup.  It was believed that fuel vapor was
trapped  in this  low velocity zone and consequently reacting stoichiometrically
thus driving the NOX above limits as the fuel vapor reacted from rich through
to overall lean.  Correction of this problem has been based upon the basic
requirements to minimize NOX.  Essential for  low emissions in a combustor
in which fuel is introduced as a liquid,  is the need to complete  combustion
with an overall lean air-fuel ratio.  Production of NOX is exponentially
dependent upon local temperatures,  and availability of oxygen.   Since fuel is
injected  as a liquid,  some zones of stoichiometric (maximum temperature)
will occur prior to transition to an overall lean condition unless mixing rates
                                     58

-------
are made sufficiently fast.  A key feature of the combustor is to obtain a
large area (wide spray angle) interface between liquid fuel and air at a zone
that has very high shear velocities.  Under these conditions, vaporization and
mixing can occur extremely rapidly.  Since chemical reaction rates are
relatively slow compared to the high mixing rates possible, when a high
pressure drop is used, NOX production is minimized by reducing stoichio-
metric conditions.   In the actual combustor, the mixing rates and thus the
formation of NOX is, to a large extent, dependent  upon the pressure drop
available.  Thus a fundamental tradeoff between parasitic power limitations
and acceptable NOX levels has been made.   Ideal power required for this com-
bustor has been established at 1.2 HP  (approximately 2.5 HP electrical input).
In addition to the basic pressure drop-mixing rate tradeoff, it is essential
that little or no droplet burning take place  and that no pocket of vaporized
fuel is allowed to mix slowly and  react stoichiometrically.

       Improvements of emissions at the low fuel flows is thus dependent
upon achieving three goals.

           •Rapid and uniform vaporization proper to reaction (little or no
            droplet burning)

           •Elimination of pockets of stoichiometric fuel and slow mixing

           •Increasing mixing and vaporization rates

All of these goals can be completely dependent upon  mixing rates and recir-
culation or they can be independent as  in the case  of atomization and droplet
control.   Three modifications have been  incorporated to assist to reduce
NOX formation.

           •Double heat shield (see Figs. 42 and 43)

            Two heat shield discs with a  dead air space between have been
            incorporated to prevent excessive vaporization from cup surfaces
            and consequent carbon buildup. This may also assist in the mix-
            ing  since excessive fuel vapors generated in the cup are not
            accelerated tangentially at the  lip of the  cup as are the liquid
            droplets.  This gaseous fuel  may mix  slowly down stream of the
            cup in a dead zone or be entrapped in local  recirculation zones
            inside the swirler.

           • Auxiliary Air Swirler

            Approximately  3 percent of rated air flow has been routed through
            an auxiliary air swirler (Fig. 42). High velocity mixing rates
            can be provided by this method since the full fan discharge air
                                   59

-------
      AIR AT FAN
      DISCHARGE PRESS
       AUXILIARY AI
       SWIRLER
 FUEL  —
                                         REFERENCE LINE IN
                                         LINE WITH COMBUSTOR
                                         DOME
                                             AUXILIARY AIR
                                             SWIRLER EXIT
                                         DOUBLE HEAT SHIELD
                                         CONFIGURATION
                                         DEAD AIR SPACE
                             _ £ COMBUSTOR


                               RECIRCULATION FAN
                               CONFIGURATION
                                          117 PPH AUXILIARY AIR
                                          SWIRLER FLOW AT 120 DEC.
                                          CONE ANGLE WHEN B = ZERO
  CUP DIAMETER = 4 INCHES
  NORMAL SPEED RANGE = 5000
    TO 6000 RPM
FIGURE 42.
CYLINDRICAL, CUP CONFIGURATION FOR
EMISSION TESTS
  pressure (10 inches  of water) is maintained across this auxiliary
  air swirler.  In addition, the swirler provides a wide spray
  angle and recirculation in the critical fuel to air interface region
  adjacent to the lip of the cup.  Measured air flow at 10 inches of
  water pressure drop is 117 pounds per  hour at a 120 degree cone
  angle when "B" dimension equals zero.  Figure 1  shows schema-
  tically the flow route from fan discharge to auxiliary air swirler
  passage.  Air short  circuits the air valve through 20 ports  (see
                           60

-------
        FIGURE 46.  RECIRCULATION FAN ON  CONICAL CUP
    •
                                                   CO LIMIT 11.8 urn Kgm
  E
  tc -
                                                 NOTE: NOX FOR ALL POINTS A I I IS


                                                      LIMIT OF 1. 3H urn Kirm



                                                 FUEL: JP--4
                                                           11C LIMIT  1. 1^ gin Ka

                                      10       :>0

                                     \V, 1.11 MR FUEL
                                                                              '
FIGURE
47.   CONICAL CUP EMISSIONS WITH RECIRCULATION FAN


      (CO2 ADJUSTED  TO MAINTAIN NOX AT  1.38 GM/KGM)
                                       63

-------
maintained at its limit of 1.38 gm/kgm by adjustments to the air-fuel ratio.
CO and HC emissions were good down to fuel flows as low as 2.8 pounds per
hour.  This is the lowest fueling rate at which all emissions have been brought
within the limits.  An emissions peak at 30 pounds per hour  has  not been fully
explained but may be an atomization problem associated with fuel impingement
on the cup or its shroud. Another possible problem is the counter rotation of
the fan swirl from the main air swirier  which will produce lower mixing
velocities at a specific  air flow.

        To obtain a flexible cup atomizer and incorporate heat shields, auxiliary
air swirler  and  a recirculation fan the cup was  redesigned to a cylindrical
configuration shown in Figure 42.  A more stable bearing stack was also
incorporated to  eliminate a wobble that was noted with the conical cup.  A
cylindrical cup configuration was chosen for better control of vaporization and
to allow wakes from the center support spider be uniformly distributed prior
to atomization.  A number of different fuels have been tested with this final
configuration.  Auxiliary swirler dimensions A and B have been found to be
critical variables. With "A" small it has been  observed that the fuel can be
drawn back  into the auxiliary swirler causing impingement on the outer  lip of
the auxiliary air swirler.  Since the fuel accumulates into large drops and then
reatomizes  from the  swirler with relatively large droplets,  the emissions
increase.

        Test results  are graphically shown in Figures 48 through 55.   Initial
tests  and developments, including rig tests were mainly performed with
JP-5  and JP-4.   JP-4 was the initial fuel used  for combustor development
on the integrated combustor steam generator tests.  Figures 45 through 49
show  emission test results with JP-4.  Since the NOX emissions  are close to
the limit, most  of the test points recorded were obtained by adjustments of
the fuel-air ratio to  obtain best NOX or CO emission levels.  In general, this
was accomplished by moving the air valve to the desired flow position.  The
mechanically linked fuel valve  would also move to the same percent flow
position giving a nominal air-fuel ratio of 25 to 1  or approximately a CO2
reading of 8.3 percent.  By adjusting the fuel pressure across the fuel meter-
ing valve, the air-fuel ratio could be changed to a richer or leaner point.
A direct tradeoff between NOX  and CO emissions can be made by adjustments
of the fuel-air ratio at a particular air valve setting. As the air-fuel  ratio
decreased (CO2  increased) the level of CO emissions can be  drastically
reduced.  This is  due to an increase in temperature in the CO burnout zones
resulting in more complete reaction.  A corresponding but less  sensitive
increase in  NOX results from a decrease in air-fuel ratios.  In these tests
the data points were obtained by adjusting the fuel-air ratio while monitoring
and trading-off NOX against CO levels.  In general, two readings were obtained
at each power level.  One data point recorded was the NOjj level  with the CO
level  allowed to  approach its maximum specified limit.  A second point was
                                   64

-------
                     LIMIT
    10
o
o
    .9

    .8

?  .7


IS  .6
§
    .4
   2.2
   2.0
   1.8
 
-------
.10
__ 16
1
a
o 8
o
4

3.0
# 2.0
a
o
1.0


.2
^ 1.8
a
fi. 1.4

-------
9  19
                       FUEL FLOW - POUNDS PER HOUR
                        41   46.9   62.6    75      80
         3.0
         2.0
       Ol
       CM
      O
         1.0
              Configuration:
                              T
                              T
Fuel JP-4
Auxiliary Air Swirler = 3%
2 Heat Shields
 A =0.125
 B = Zero               Numbers Indicate CO9 in
Carbon: Clean                        v
                                       .40 gm/mile N02 LIMIT'
                      20        40        60
                            AIR VALVE POSITION"/*
                                      80
                                               124
                 1.38 N02 LIMIT gm/kgm
                                                    .1
                                                    0
                                                 100
FIGURE  50.   NO2 EMISSIONS WITH A = 0. 192,  2 HEAT SHIELDS AND
               AUXILIARY AIR SWIRLER
   o
   o
   01
14.0

12.0

10.0

 8.0

 6.0

 4.0

 2.0

   0
                    FUEL FLOW - POUNDS PER HOUR
            9  19   41     46.6   62.6	75   8O
                                            124
                             l       l

                         11.8 CO LIMIT gm/kgm
                                          3.4
                                    680» gm/mile
                      -Configuration:
         Auxiliary Air Swirler
         2 Heat Shields
                        Numbers Indicate
                       • 7.70
                                                          in
                                                    O
                                                    o
                                                     Ol
          0    10   20   30   40    50   60   70   80   90  100
                           AIR VALVE POSITION %
  FIGURE 51.  CO EMISSIONS WITH A = 0. 192,  2 HEAT SHIELDS AND
                 AUXILIARY AIR SWIRLER
                                       67

-------
        1.4

        1.2


        1.0
     CJ

     I   -8
     £
     *>S
     *   .6

         .4

         .2
                      FUEL FLOW - POUNDS PER HOUR
             9  19  41    ^46.6^62^       75     80

1.42 HC LIMIT cjm/kgm
   Configuration:
     Fuel JP-4
     Auxiliary Air Swirler =
     2 Heat Shields
      A = 0. 125
      B = Zero
     Carbon: Clean
.41 gm/mile
                       Numbers Indicate CO2 in
                       x
                                                                .40
           .30
                                                .20
                                                .10
               o
                -
                                                     E
                                                      •
          "0    10   20   30   40    50   60   70   80   90  100
                            AIR VALVE POSITION %

  FIGURE 52.  HC EMISSIONS WITH A = 0. 192, 2 HEAT SHIELDS AND
                AUXILIARY AIR SWIRLER
FIGURE 53.  COMBUSTOR POST TESTS RECORDED IN FIGURES 50,
              51 AND 52
                                   68

-------
     20
     16
     12
  O   *
                   LIMIT
  O
  a
    2.8
    2.4
    2.0
  3
  IN
     1.2
                NOT RECORDED
                    LIMIT
          1O      20      30      40
         FUEL FLOW POUNDS PER HOUR
CONFIGURATION

  Fuel - Gasoline
  Auxiliary Air Swirler = 3%
  2 Heat Shields
    A = 0.192
    B = Zero
  Carbon:  Inside of Cup and
   indication of combustion on
   outer lip of cup
FIGURE 54.  EMISSIONS WITH GASOLINE, A = 0. 192 AND 2 HEAT SHIEX.DS
                                     69

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16

14

12

1O

 8

 6

 4

 2

 0

0.8
I0'6
O
o
O
s
  0.4
  0.2
               LIMIT = 11. 8
              HC LIMIT =  1.42
                                          CONFIGURATION

                                            Fuel:  Gasoline
                                            Auxiliary Air Swirler = 3%
                                            Recirculation Fan
                                              A = 0.03
                                              B = 0.5
                                            Carbon: Clean
   1.5
   1.0
g
  0.5
              LIMIT  = 1.38
     5 10    20   30   40   50   60   7O   80
        FUEL FLOW POUNDS PER HOUR

 FIGURE  55.  EMISSIONS WITH GASOLINE, A « 0.03,  AUXILIARY AIR
              SWIRLER AND RECIRCULATION FAN
                                   70

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the NOX level with low CO reading.  By analyzing these limits it is possible
to obtain approximate values of the tolerance band within which the controls
are required to hold the air-fuel ratio to obtain low emissions across the
full range.

        The first tests using the cylindrical cup and dual heat shield were
disappointing.  Figures 48 and 49  show the  emission levels for fuel flow
ranges  between 16.8 and 70  pounds of fuel per  hour.  The first data point on
Figure  48 was  at 16.8 pounds  per  hour with the air-fuel ratio adjusted to move
the CO  level to near its maximum allowable limit of 11. 8 gm/Kgm.  The CO£
reading at this point was 4.8 percent. At this  condition the emissions of
NOX were well above the limit (1.65 compared to a limit of 1.38 gm/Kgm).
The next points recorded were obtained by decreasing the air-fuel ratio  to a
CO2 reading of 5.45 resulting in an order of magnitude drop in CO levels
while relatively small increases in NOX were recorded.  The general appearance
of widely  scattered data points is a result of the continual adjustments made
to CO2  levels to obtain best  emission levels or  control band information.  No
auxiliary  air swirler flow was used for the test points of Figure 48.  Addition
of 3 percent auxiliary air swirl is shown in Figure 49.  Many of the NOX
emission  data points were well below the limit indicating a significant gain by
addition of the  auxiliary air  swirler.  However,  it was not possible to reduce
NOX emissions below the limits with this configuration at fuel flows below  25
pounds  per  hour.  Visual examination of the  combustor after the test indicated
carbon  on the auxiliary air swirler.   This accumulation was indicative of fuel
impingement caused by excessive  recirculation over the cup lip due to the
auxiliary  air swirler.  By moving the cup away from the immediate discharge
of the swirler, this problem appeared to be resolved as shown by the emission
results  plotted in Figures 50 through  52.  The  "A" dimension (Fig.  42) was
increased from 0. 125 to 0. 192 inch to permit emission  levels to be held
within limits down to 9 pounds per hour of fuel  flow.  Although this  change
reduced the beneficial effects  of the air swirler, it prevented impingement.
By adjustment  of the air-fuel ratio (as shown by the %CO£ readings adjacent
to the data points) emissions of NOX and CO were traded off to obtain the
"best" results  shown in the curves on Figures  50,  51 and 52.   In order to
maintain NOX below the limits the  air-fuel ratio was increased (low CO2
values on curves) at the low  fueling rates.  A rapid increase in the main
tradeoff parameter  of CO is  illustrated by the rapid rise in CO at low fueling
rates as the overall air-fuel ratio  is made leaner.   In the mid-fuel flow ranges,
ample margins exist to allow NOX and CO to be well below the  limits.  At
fuel flows above 80  pounds per hour it was no longer possible to adjust the
air-fuel ratios and keep both CO and NOX below their limits.  At 100 percent
air valve  setting the unit was operated at its design air-fuel ratio of 25 to 1 to
do full flow vapor generator  calibrations of efficiency and stability. At these
conditions,  the CO was less  than 1/2  of its limit but NOX was approximately
twice.  In general it can be assumed that the emissions at flows above
approximately  25 pounds per hour  have little effect upon the steady  state
                                    71

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simulation of the Federal Driving Cycle.  If an assumption of 10 mpg fuel
economy is used,  the emissions at a fueling rate of 12 to 15 pounds per hour
dominate the results.  As a consequence the greatest effort has been placed
upon lowering the emissions at these low fuel flow rates.  Inspection after
emission tests shown in Figures 50,  51 and 52  showed the cup and swirler to
be free of carbon.  Figure 53 is a post test inspection after approximately 15
hours of operation with this configuration that results in the lowest emissions.

       Upon completion of tests with JP-4, the best configuration (Figs. 50
through 52) was tested with commercial automotive unleaded gasoline.  Results
are shown  in Figure 54.  Emission levels were worse.   This was unexpected
since the greater volatility of gasoline  should have been an asset  in vaporization
and rapid mixing.  Inspection after these tests  revealed carbon on the  swirler
and burn marks on the outer diameter of the cup as far back as the distance it
extended from the swirler.   To  correct this tendency for gasoline vapors to be
sucked back toward the swirler,  the inside ring of the swirler  was cut back
0. 5 inch (dimension "B" on Fig.  42) and the cup was extended only 0.03 inch
from the swirler ("A" dimension).  In addition, a recirculation fan was in-
stalled in place  of the dual heat  shield to assist in controlling the  flow  of
vaporized gasoline and recirculated products of combustion.  Results of these
tests showed a considerable  improvement (Fig. 55).  Emissions were  well
within limits at  low fuel rates of 6. 5  pounds per hour.  However,  at the critical
fuel flows of 12  to 15 pounds per hour,  the emissions of NOX could not be brought
within limits even though CO was allowed to increase towards its  limits.  At
these fuel flows the NOX was approximately 10 percent above the limits with
CO approximately 20 percent below its limit.  It appears that the  recirculation
fan is, as in the tests with JP-4 and the conical cup, producing  good emissions
performance at  the very low fuel flows as anticipated.  However,  a hump in
the emissions at fuel flows from 10 to 25 pounds per hour exists that is not
aleviated by the use of the auxiliary air swirler.  Cold flow tests  with  water
through the cup  instead of fuel has shown an interaction between auxiliary air
swirler's jet and the fan discharge jet that causes liquid to  impinge on the
swirler. Modifications incorporated to eliminate this interaction by changing
the swirl angle of the auxiliary air swirler are  discussed below.

       Efforts to improve the systems emission in the low  fuel flow range
(5 to 15 pph) were attempted. A series of cold flow tests with water used in
place of fuel resulted in the selection of an optimum auxiliary air  swirler and
recirculation fan configurations. Visual observation of the water  spray pattern
was made by removing  the combustor  section from the vapor generator coils.
An optimum configuration was defined as one  in which no water impingement
was observed on any combustor  surface except  the side walls.  Spray angles
were observed visually with the  widest angle being considered the best.  Two
configurations had excellent  spray patterns.  Figures 42 and 56 show the
geometry arrangements between the cup, the  auxiliary air swirler and the
recirculation fan.   With the "C" dimension at 0.06 and "A" at 0.075 inch a
                                   72

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                        -B-
o.:

                                      AUXILIARY AIR
                                            CUP EDGE
           FIGURE 56.  AUXILIARY AIR SWIRLER CONFIGURATION
                        VARIATIONS

 180 degree spray pattern of air and water could be obtained with only a slight
 impingement on the combustor dome.  This condition was with auxiliary air
 flow but no fan.  When the fan was added the "A" dimension had to be
 increased to 0. 137 inch to prevent impingement on the  swirler.  With that
 configuration no impingement on the dome was observed.  An ideal spray and
 air flow pattern results from high down to flows of 2 or 3 pounds per hour.
 As the  "A" dimension is decreased,  water impingement on the outer lip of
 the auxiliary air swirler was observed.  As  "C" dimension is  increased,  the
 swirl angle is increased (since the axial velocity component goes  down) and
 a greater tendency to send water back into the auxiliary swirler was observed

        Emission tests with both secondary air swirl, recirculation fan and
 combination of both were performed,  results were not as good as  the emis-
 sion levels reported above.  With "A" at 0. 075, "B" at 0. 5 and "C" at 0. 06
 inch without a recirculation fan but with a double heat shield,  emissions with-
 in limits were obtained at fuel flows above 16. 5 pounds per hour (tests run
 up to 43 pph).  At lower flows NO was above limits.  Inspection of the unit
 after runs indicated considerable carbon on the cup and on the  outer lip of
 the secondary swirler.  It was thought that the carbon formed as a result of
 high velocity recirculation of partially burnt products across the edge of the
 cup. A baffle 0. 1 inch greater than the OD of the cup lip was installed to
 eliminate this edge effect (see dimension "D" in Figure 56).  Results of emis-
 sion tests with the baffle installed were good with respect to carbon formation.
A small amount of carbon formed within the cup but all exterior surfaces re-
 mained clean.  However, emissions were not as good as without the baffle.

        Tests with the "best" swirler configuration and with the recirculation
fan were also disappointing.   A large amount of carbon formed and emissions
were all above limits.  Some of these poor results were believed to be
                                    73

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associated with the discontinuity caused by the auxiliary swirler on the main
air swirlers flow path.  The auxiliary air swirler was removed and tests
were performed with and without the recirculation fan.  In both cases the
emissions of NO were generally borderline or well above the limits.

       None of these tests showed an improvement of the configurations
reported in Figures 50 through  52.  In all the tests without the auxiliary air
swirler, there was a carbon buildup  on the inside and outside of the cup.
This indicates the main swirler is not flowing full and that a central recircul-
ation across the edge of the cup back into the swirler exit draws fuel vapor
back into  this zone.  Carbon deposits on the outside of the cup indicate that
fuel vapor burns in this area.  Heat from the recirculation flow and the com-
bustion reaction on the outside of the cup compounds the problem by generat-
ing more  fuel vapors prior to leaving the cup as  a spray.  Oxide layer buildup
has indicated cup temperatures  in excess of 600°F.

       Another  series  of tests with the main swirl vanes 80  percent blocked
allowed measurements to be performed with high pressure drop and low fuel
flows.   As in the above series of tests, this resulted in excessive recirculation
and burning  around the fuel flows of 10 to 15 pounds per hour.  However, the
safety  margin was only abour 10 percent.  It was decided to  rebuild the com-
bustor back to the configuration that resulted in the best emissions with
gasoline (Fig. 55). Although these results  were not entirely satisfactory a
combination of the auxiliary air swirler  and recirculation fan resulted in
below requirement from 6. 5 pounds  per  hour to 10 pounds per hour emis-
sions.  From 10 to 20 pounds per hour the  emissions of  NO were approxi-
mately  10 percent above limits (Fig.  55).  This configuration has been
retested with the addition of the double heat shield using the EPA reference
gasoline.   Test  results show a similar pattern with emissions of NOX 4 or 5
ppm within limits at 8. 5 pounds per  hour and reaching the limit at  14 pounds
per hour.   From 14 to 30 pounds per hour the emissions of NOX were
approximately 3 or 4 ppm above the  limit (23 ppm limit).

       Inspection after approximately 70 hours of operation with the EPA
reference gasoline  showed an extremely clean combustor and steam generator.
Figure 57 shows the overall view of  the combustor after 70 hours.  All
surfaces were clean with the exception of a small accumulation of carbon
near the exit of  the main swirler and on  the outer tube of the auxiliary  swirler
(Fig. 58).  Local recirculation patterns into the inner core of the main swirler
appear to  have been the cause of these carbon formations.  Time limitations
have not permitted the necessary redesign to eliminate  these  slow reacting
pockets.  By eliminating these slow  mixing,  rich pockets (indicative of
near stoichiometric  temperatures),  a considerable  improvement in the
emission  characteristics  will be achieved.
                                   74

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    FIGURE 57.  COMBUSTOR AFTER 70 HOURS OF OPERATION ON
                EPA REFERENCE GASOLINE
FIGURE 58. AUXILIARY AIR SWIRLER AFTER 70 HOURS OF OPERATION
            WITH EPA REFERENCE GASOLINE
                                 75

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       One approach to significantly reduce emissions below the limits is to
use exhaust gas recirculation or water injection.   Injection of water  can
also give a qualitative analysis of the mechanism of NOX formation.  Water
injection was used with the best configuration (Fig.  50,  51,  52) to assist in
analysis.

       The rotating cup was well suited to modification for water injection.
A water line was tied into the fuel line just ahead of the pickup on the cup
shaft, as shown in the schematic below.  The water was  run through a flow-
rator,  then through  a needle valve, which controlled the  water flow  rate, just
ahead of the tee.
                            Control Valve
                     Flowrator
                                        Cup Pickup
                                                                Fuel
            City Water
       It was found that this simple injection device was capable of producing
drastic reductions  in NO  emissions,  especially at low fuel flows, where
combustor pressure drop is low.  At fuel flows  on the order of 10 Ibm/hr,
the injection of one pound of water per pound of  JP-4 fuel was sufficient to
reduce NOX levels  down to less than 1/2 the level required by 1976 standards.
Water injection allowed the average flame temperature at low loads  to be
greatly increased over its permissible value for acceptable NOX emissions
without water injection. CO levels were down to about ten percent of their
values without water injections, as would be expected from the higher
average  flame temperatures.

       The mechanism by which water injection reduces NOX emissions is
fairly well known.  Primarily, the water acts to reduce the local flame
temperature by absorbing  heat as it vaporizes and as its temperature in-
creases.  At high flame temperatures it also absorbs heat as it dissociates.
The dissociation  reaction
            H2°
O
OH +  OH
also tends to reduce NO formation by competing with nitrogen for oxygen
radicals,  thus  interferring with the Zeldovich mechanism through which NO
is formed, that is,
                                    76

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            O  + N  —*- NO  + N

            N  + O2 —*- NO  -I- O

       From the foregoing, it is  apparent that water injection cannot inter-
fere with the formation of NOX unless the water is present in the gas  phase
in the regions where NOX is being formed.

       Water is considerably less volatile than the JP-4 fuel which was used
for these tests, so it is  reasonable to assume that in regions where the water
is primarily in the gas phase,  so is the fuel.  If diffusion burning from
excessively large droplets was a  significant factor in NOX formation in the
present burner, as was  thought to be one of the possible problems,  water
injection would be  unlikely to significantly reduce NOX emissions. In zones
where significant fuel is present in the liquid phase, there would be unlikely
to be much water present in the gas phase.

       The water tests therefore seems to confirm that NOX formation in
the test combustor is due  to poor mixing in the gas phase, allowing near
stoichiometric pockets of fuel  to persist for significant amounts of NO to
form.  This problem is  probably  compounded by the formation of recir-
culation  zones in the main swirler close to the cup producing NO through
much the same mechanism as  near stoichiometric pockets in the flow out-
side the  main swirler.

5.3.5  Temperature Pattern

       Evaluation of the combustor outlet temperature pattern was made
during performance analysis of the steam generator.  A triple shielded and
asperated thermocouple (Fig.  5) was used to measure the temperature. It
was positioned at one inch increments across the full 20 inch diameter of the
flame tube. Axial  position was 8  inches  downstream of the rotating cup
(immediately upstream of the first row of the steam generator).  Fuel flow
and steam conditions (1000°F and 1000 psi) were held constant throughout
the temperature traverse.  The top curve of Figure 59 records the tempera-
ture pattern at 100 percent steam flow (1200 pounds per hour), the maximum
rated condition for the high efficiency monotube unit (see Section 7).  EPA
reference gasoline was the fuel,  with a measured  fuel rate of 104 pounds
per hour.  An average temperature of 2350°F was recorded with the
maximum peak temperature of 2625°F measured 4 inches from the centerline
of the combustor.   A minimum temperature of  2135°F was recorded near the
wall of the flame tube.  A total temperature spread of +275 and -215°F
around the mean results at full flow. This is slightly above the initial goal
of ±250°F but an acceptable deviation when considering the steam generator
heat transfer assumptions.  The theoretical flame temperature at these conditions
(neglecting radiation effects) is approximately 2500°F.  Radiation heat transfer
                                    77

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               DOME
 2800

 2600

 2400

 2200

 2000

 1800

 1600

 1400

 1200

 1000

  800

  600

  400

  200
                   \
                                       CUP
              -FLAME TUBE
                                              \

                                                  MAIN AIR SWIRLER
                                                AUXILLARY AIR
                                                SWIRLER
                                        SIN. (REF)
    COMBUSTOR OUTLET
    TEMPERATURES
                                                104 PPH
STEAM GENERATOR OUTLET
TEMPERATURES
                                        i   i   i   i   i   I   I   I   i
                                                                       -SECONDARY AIR
                                                      2350 °F AVERAGE
                                                      TEMPERATURE
    12 11  10  9
                  5432101234567
                        INCHES (FROM CENTERLINE)
                                                                     10 11 12
      FIGURE 59.  COMBUSTOR AND STEAM GENERATOR OUTLET
                    GAS TEMPERATURES
from the highly luminescent flame into the relatively cool (540°F) first row
of tubes was expected to be high.  Thus the gas temperature drop of 150°F
below the theoretical level is indicative of the expected high flame emissivity.

        A typical temperature distribution at lower flows with leaner air-fuel
ratios is shown by the second curve.   It was recorded at the same station
(8 inches  from the cup) at the identical positions across the combustor's
diameter.   Fuel flow was 31 pounds per hour.  The temperature profile at
this flow is considerably  different than at the higher flows.  A major factor
in explaining this difference is the entirely different air flow arrangement
between the two flows.  At 104 pounds per hour fuel flow, approximately  50
percent of the air is being admitted into the combustor through a ring of 90
ports located 4  inches downstream of the  fuel injection cup station.   The
lower temperatures  near  the flame tube wall at high flows is probably  due to
inadequate penetration and mixing from these jets. Temperatures recorded
at the fuel flow  of 31 pounds per hour were with no secondary flow.  All air
                                     78

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is admitted through the main air swirler.  As a result, the characteristic
distribution of temperatures is considerably different.  The low temperature
recorded at about 0. 1  inch from the flame  tube wall may be a result of a
small amount of secondary air flow due to  air valve leakage.

       Although the temperature profiles are acceptable with regards to
steam generator performance,  they do not look ideal for low emissions.
Of particular  concern  is the  lack of symmetry.  As was discussed earlier in
this section, emissions at 100 percent flow is well above the goal.  The
asymmetrical shape of the temperature distribution indicates that some
degree of non-uniform fuel-air ratio distribution is taking  place, and thereby
contributing to formation of NOX.

       The four temperature curves at the bottom of Figure 59 were taken
at a station one  inch downstream of the steam generator.   Two thermocouples
mounted at 90 degrees to each other recorded temperatures from approxi-
mately 3 inches (a six inch diameter insulated manifold is  in center of
steam generator to the wall of the exhaust  plenum).   Good  distribution was
observed except for one  temperature spike in the x plane at 104 pph. This
may be  indicative of a local gas blowby causing a reduction in the efficiency
of the steam generator (see Section 7).
                                    79

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                                   6
                  PARALLEL FLOW STEAM GENERATOR
                            (TEST BED UNIT)
       At the preliminary stages of this program it was decided to incorporate a
compact steam generator into the combustor development as soon as possible
to evaluate its effects  upon emissions. A bare tube design was selected since
high efficiency for this "test bed" steam generator  was not critical and a bare
tube unit could be fabricated quicker.  In addition to acting as a test bed for
emissions tests,  the unit was designed to  provide information on parallel
flow stability and controls systems interface requirements.  Parallel flow
was an important factor because the  organic  systems being considered require
approximately an order  of magnitude greater flow than the steam system.  At
this high flow rate,  a compact vapor generator would normally require a
large number of parallel flow passages to have reasonable pumping losses.

6. 1  STEAM GENERATOR CORE MATRIX

       Geoscience Ltd. , on a subcontract to Solar  made the  heat transfer
analysis of the parallel flow steam generator (see Appendix VII for details of
the analysis).

       Output conditions of the  steam were selected to correspond to the
temperature  and  pressure (1000°F and 1000 psia) being used  in Steam
Engine Systems Rankine cycle engine being developed for EPA.

       One of the important test goals  of the program was to obtain low
emissions on a full scale vapor  generator/combustor combination. Emission
effects of cold walls, flame quenching, geometry,  temperature and velocity
distribution with  a compact vapor generator interfaced with combustor were
of prime importance.  Figure 60 is a diagram of the selected configuration.
Design details are as follows:

          •Steam flow:  1525 pounds per hour at 1000°F and 1000  psi

          • Ten flat spiral coils,  5 preheater,  2 vaporizer and 3 superheater
           coils
                                   81

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             VAPORIZER
SUPERHEATER
PREHEATER
Tq=2500°F
Wg = 1.04 Ib
/sec
55
a 1 0 X 10^
Btu/hr
(2 coils,
6 parallel
passages)
6°F 1100 psig
It
M«^H
335°F
r
STEAM
1000 ps
y
q=0.48 X 106
BtU/hr
(3 coils,
6 parallel
passages)
1
OUT 1000°F
ig
^ 550°F
RESTRICTION ' 105° psig
194°
                                                   q=0.52 X 106
                                                   Btu/hr
                                                   (5 coils,
                                                   single passage)
                                                               694°F EXHAUST
                               230°F, 1135 psig
                                                               1.53 X 103 Ib/hr
                                                               WATER INLET
         FIGURE 60.  TEST BED VAPOR GENERATOR -  WATER
                       WORKING FLUID

          • Tube size throughout unit: 0.5 inch OD,  0.035 inch wall, 321
            SS all welded construction

          • Heat transfer area (gas side)  62 ft

          •  Tube nest size:  21.5 inches OD,  6.25 inches high

          •  Gas side pressure drop:  2.8  inches of water

          •Water side pressure drop:  135 psi

          •  Tube weight:  106 pounds

          •  Water holdup:  30 pounds

          •  Triangular axial and transverse tube pitch with the pitch equal
            to 1.25 tube diameter

Each of the  five preheater rows consists of five, flat spiral coils.  Connections
at each end  of this coil are made  by specially designed fittings (bottom of
Fig. 61).  Both vaporizer and the three superheaters  rows are each  con-
structed from six flat spiral coils (Fig. 62) connected in parallel by  the
fittings shown in Figure 63.

6.2  CONSTRUCTION

       A test bed unit was constructed to  minimize lead times. All  tubing
is 321  stainless steel (0. 5 OD, 0.035 inch thick wall) with  welded construction
throughout.   A total of 10 rows of flat spiral  coils each  21. 5 inches outside
diameter make up the tube matrix.
                                   82

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                                 I

FIGURE 61.  VAPOR GENERATOR COIL CONNECTORS
   FIGURE 62. VAPORIZATION COILS (6 PER ROW)
                         8

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FIGURE 63.  SPECIAL BOX CONNECTION AFTER BURST PRESSURE TEST

Figure  64 schematically identifies the flow arrangement and row numbering
system. Inlet water enters the first row (row number 1) on the exhaust gas
side of  the flow system at the center of the coil.  It then flows radially out-
ward along the single tube spiral coil that forms  row 1 for a total length of
approximately 50 feet.  Tubes within each row and the next row are staggered
with 1.25 times outside tube diameter axial and radial pitch.   Two of the pre-
heater rows are  staggered with respect to each other in Figure 65.  Special
welded  box fittings (Figs.  61 and 63) connect each row to the next row on both
the outside and inside of each coil to form a compact preheater section con-
sisting  of rows 1 through 5 with  a total  stack height of 3. 125 inches and a
total monotube length of approximately  250 feet.  A monotube flow arrange-
ment was acceptable because water velocities can be maintained low in the
preheater and  thus a reasonable pressure drop (35 psi) was the maximum
required.  A counter flow arrangement has been  utilized in the first five
rows of tubing.

        A more complex arrangement was necessary  in the remaining five
rows.   To  ensure against potential burnout and hotspots in the superheater,
the counter flow  arrangement was modified to place  the  two vaporizer rows
10 and 9 immediately adjacent to the combustor.   Additionally the need for
large surface area with compact  tubing arrangement  dictated that small dia-
meter tubes be maintained in the vaporizer and superheater sections.  As a
result,  water side  velocities were high and a  parallel flow arrangement be-
came necessary  (a total pressure drop  of 100 psi was used for rows 6 through
10).  Each row 6 through 10 consists of six parallel flow passages connected
in a manner to form a single flat spiral. Construction of double rows 6-7 and
9-10 are identical.  Each  row consists  of six  flat spiral coils connected at
the center  to the next row by means  of a special  welded  box fitting (Fig. 62
views the downstream side of rows 9 and 10).  A manifold in the exhaust duct
distributes water from the last row of the preheater to six feed lines  connec-
ted to the six coils forming row  10.  Water flows radially inward and connects
to the inside of row 9 giving a parallel flow arrangement in the two vaporizer
coils.   From the outlets of row 9 six 0.25 inch diameter lines connect to six
adjustable  restrictor valves used to  balance flow in each of the flow paths
(flow paths are not interconnected except for final outlet of superheater).

                                    84

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                                               -1ST
                                                THERMOCOUPLE
                                                                             -3RD
                                                                              THERMOCOUPLE
                                 FROM MANIFOLD
(12) THERMOCOUPLES SPACED EVERY 8.00 INCHES ON
ALTERNATE FLOW PATH TUBES TYPICAL ROW 6 AND 9
(6) THERMOCOUPLES ON EACH OF THE SIX
OUTLET TUBES TWO INCHES FROM MANIFOLD

                           Tw SUPERHEATER
                           OUTLET
                           (SIX TUBES)
                                   V(
                                                                                                            INLET WALL
                                                                                                            TEMPERATURE
                                                                                                            TO FLOW PATH - B -
00
Ul
nNr
                 PRESSURE OUT TH,	

           PRESSURE TRANSDUCER-^L^l
             PRESSURE
             TRANSDUCER —

               (6) PRESSURE
               TRANSDUCER
               0-1500 psi
                                                                                                        TG OUT 9
                                                                                                       *10
                         \
                                                                                                       #8
                   (1) THERMOCOUPLE
                   IMMERSED
                                           (12) WALL THERMOCOUPLES
                                           EQUALLY SPACED ON ALTERNATE FLOW
                                           PATHS PLUS (10) THERMOCOUPLES
                                           EQUALLY SPACED ON FLOW PATH- B-
                                                                                                                                    FROM MANIFOLD
                                                                                                                                      TO VALVES
iL&r^ *7 f\
AjSr— *6
/a — « 	
' ( #4
( *3
( #2
s, ( *1
(2) THERMOCOUPLES
IMMERSED
(COMPRESSION FITTING)

-^
\
\
\
\
\ TG OUT 6
(6) EXHAUST AIR THER
EVERY 60 DEGREES TC
                                                                             IMMERSION PROBE
                                                                             (COMPRESSION FITTING
                                                                             TWO PLACES)
                                                                             "FROM VALVES
                                                                          "(12) WALL THERMOCOUPLES
                                                                           EQUALLY SPACED ON ALTERNATE
                                                                           FLOW PATHS

                                                                          H.. OUTLET ROW 3
                                                                                                                                  OUT ROW 1
                                  -(21 THERMOCOUPLES IMMERSED
                                   INLET COMPRESSION FITTING)
          1/8 SS TUBES (INLET
       PRESSURE TO EACH
       SUPERHEATER COIL)
                                                                                    PRESSURE
                                                                                    TRANSDUCER
                                                                                                                                              (2) THERMOCOUPLES
                                                                                                                                              IMMERSED
                                                                                                                                              (COMPRESSION FITTING
                                    FIGURE  64.   VAPOR  GENERATOR FLOW AND INSTRUMENTATION

-------
                                XX.*——Nv
                                W
                                O
  FIGURE 65.
ASSEMBLY OF  TWO PREHEATER COILS WITH SPECIAL
CONNECTOR WELDED AT INSIDE OF COILS
From the restrictor valves a 0.25 inch tube connects the flow into the first
row of the superheater (row 6).  Flow in this row is again  inward and back-
outward through row  7 where special welded connectors direct the flow into
row 8 where a central collection manifold finally connects  each of the six
flow paths to a single 0. 75 inch diameter outlet tube (Figs. 66  and 61).
       A proof pressure of 3000 psi was applied for 20 minutes as a leak
check prior to installation in the test cell.  Weight of the assembled vapor
generator is 104 pounds including instrumentation and restrictor valves.

       Instrumentation was installed to monitor steam generator performance;
the most important and useful measurements are listed below:

          • Input and Output Conditions

            Two immersed thermocouples, closed Inconel  sheath, 0.06  inch,
            type K thermocouples were  located at the inlet and outlet of  the
            vapor generator.  Two were used for redundency for these
            critical parameters.  A pressure tap is  also located at the inlet
            and  outlet.

          •Outlet Temperature in Each of the Six Parallel Superheater  Flow
            Paths
           Six surface thermocouples are installed two inches from the
           outlet of each tube in the superheater row 8 (Fig.  66).  These

                                    .so

-------
FIGURE 66.
SUPERHEATER OUTLET ROW SHOWING THE SIX THERMO-
COUPLES
             were used to monitor outlet temperature in each flow path
             for stability.

            • Superheater Thermocouples

             Four immersion type thermocouples are located in the super-
             heater.  Two are at the 33 percent and the other two at the 66
             percent point along the flow path.

            • Water  Flow Rate

             A high response turbine flow meter with direct digital readout
             in  pph  installed  in the  inlet line of the vapor generator was used
             to  measure water flow rates.

 6.3   PERFORMANCE TESTS

         Steam  generator performance, emissions and control system tests
 were all performed with the same  basic test loop.  Operation of the test
 loop is shown by the flow schematic (Fig. 67).   Untreated city water in
 the test cell supply line is passed through four deionization bottles.
                                     87

-------
                                           CONTROL
                                           CONSOLE
   AMP	H
IGN I	-K
            EXHAUST
            PLENUM
                                                 IPREHEATER
                             _, [THROTTLE!
 EXHAUST
 SYSTEM
                           R \/  I—I  .               	(	
                                     ly^X!	I   |~DE-IONIZATIol\r
                                         T       ! _SYSTEM_

              FIGURE 67.  TEST CELL FLOW SCHEMATIC

After deionization the water goes to a preheater that discharges it at a
regulated temperature between 180 to 190°F.  An insulated suction line is
connected to the inlet of a Union DX-10 triplex pump.  A variable diameter
pulley belt drive from an electric motor allows remote control of the pumps
speed.  Prior to the installation of the  automatic electronic control  system
pumps,  speed was used to adjust the water flow control  steam outlet tempera-
ture. Accumulators on the inlet and outlet reduce pressure and flow pulsations
from the piston pump to acceptable levels for accurate control.  A relief
valve protects the pressure side of the  pump circuit from overpressure.  Some
of the outlet flow from the pump is bypassed by a valve (B.P. valve  of Fig. 67)
to the inlet to  the pump. A bypass was necessary at this point to allow a
match between the pump speed characteristics and the speed range of the
variable speed drive system.  Water inlet flow is measured by turbine flow
meters  (FM) immediately ahead of the inlet to the steam generator.  Two
turbine  meters are necessary to cover  the flow range of interest.  Both are
checked periodically by means of a weight of flow versus time to ensure their
accuracy.  Under  steady state conditions the inlet water is identical to the
steam rate.  Difficulty with exact measurements of steam flow directly have
resulted in the use of water inlet flow measurement for the steam rate.  The
only difficulty with this approach has been the extremely long times  at low
flows required to obtain true steady state values.  At some control conditions,
a true steady state condition did not ever appear to be established.   Generally,
when the rate  of change of temperature for a specific flow was only 1 or 2°F
per minute the condition was considered steady state.
                                88

-------
       The blocks labeled COMB/V. G. schematically represents the test
unit.  Inlet water  temperature are measured in the 0. 5 inch diameter feed
line downstream of the reverse flow check valve.  Exhaust gases, after
passing through the unit, discharge into an exhaust plenum and then into a
15 inch duct for venting into the test cell's exhaust stack.  Steam rate is
controlled by the setting of a throttle valve.  Between the steam generator and
throttle valve a safety relief valve (R.V.) and thermocouples (TC) are installed.
From the throttle  valve the superheated steam is vented into the test cells
exhaust system.

       All functions of the  system were regulated from the test cells control
panel (Fig. 68).  Fuel flow, water flow, and air flow can each be independ-
ently regulated remotely from the control panel.  Steam flows were established
at the control panel by manually adjusting the setting of the throttle valve.
Ignitor and fuel solenoid controls are also manually controlled from the  face
of the panel.  After installation of the  steam generators control system, the
position of the air valve could be controlled automatically or manually from
the control room.  Water rate was also capable  of being manually or automat-
ically regulated by either automatic  or manual remote  positioning of the input
to the differential  pressure regulator (see Section 8).   Fan speed was adjust-
able by changing the voltage to the fan drive motor .  Important instrumentation
      FIGURE 68.  TEST CELL STEAM GENERATOR CONTROL PANEL
                                    89

-------
and control functions in the control room included:

          • Speed of water feed pump

          • Fuel pressure and flow

          • Superheater outlet temperature

          • Six parallel flow paths outlet temperatures

          •Inlet and outlet pressure of steam generator

          • Water flow

          • Fan speed

          • Fan discharge pressure

          •Primary and secondary air pressures

          • Combustor pressure

          • Temperature  of inlet air to fan

          • Combustor outlet temperature

          • Air valve position

          • Voltage and current to fan motor

          • Pressure regulator position

6.3.1   Mechanical Integrity

       The six parallel flow passage  steam generator has been operated more
than 500 hours in emissions, controls and performance development tests.
In all these tests the unit  was operated at near rated temperature and pressure.
Two leaks developed after approximately 70 hours of preliminary tests.  Both
leaks were in the vaporizer section at weld joints made to the tubes accidently
by a weld arc-over from a tube spacer.  Figure 65 shows the six tube spacers
installed in each row.  Each end of the tube spacer is welded together to hold
the spacer closely about the tubes.  In both leakage failures a small crack
formed about the weld nugget between the tube spacer and the tube wall.  It
had been anticipated that the thermal  strain would cause this type of problem
and the design required that the tubes be free to move slightly within each
spacer.  Errors in welding proved the importance of not  restricting the tubes
                                   90

-------
with a limited number of highly stressed weld joints.  After repair, no fur-
ther leaks developed during more than 400 hours of testing.  The only physical
damage noted during the final inspection of the unit was distortion and failure
of several of the spacers and flow blockage plate at the center (Fig. 69 and 70).
These failures were due to insufficient depth to the first spacer row and use
of a weld joint between the center plate and the six spacers.  A slip joint and
an increase in depth of 0.25  inch  on the second high efficiency unit has correc-
ted this problem.  The deposits shown on the center sections of the coils were
rust color and apparently were residual elements in the fuel and air.  Table
VI shows the results of a spectrographic analysis of the deposits  on the first
row of tubes.  Carbon deposits are seen on the outside of the coils and were
thought to be the result of ignition failures.

6.3.2 Flow Stability

        It has  been demonstrated that it is possible to operate a six parallel
flow steam  generator at water flows  up to rated conditions without serious
water flow maldistributions  in the superheater tubes,  and without the con-
sequent overheating of the tubes.   Successful operation has been achieved
without any flow restrictors in the water flow passages.  Balanced flow
seems to depend on  maintaining near rated outlet pressure  at all flows, and
     FIGURE 69.  STEAM GENERATOR AFTER 500 HOURS OF EMISSION
                  AND CONTROL SYSTEM TESTS
                                    9 1

-------
FIGURE 70.  VAPORIZER SPACERS AFTER 500 HOURS OF OPERATION
                             TABLE VI

    RESIDUE REMOVED FROM FIRST ROW OF STEAM GENERATOR
         (Chemical Analysis by X-ray Fluorescent Spectrography)
Elements Detected (Approximate %)
Al
Ca
Cd
Cr
Ca
Fe
K
>0.20
>1.00
>0.08
>0.25
>0.25
>0.75
>0.03
Ni >0.15
P >0.50
Pb >1.00
S >6.00
Si >11.00
Zn >0.30

                                 92

-------
on adjusting water flow so that the preheater outlet liquid is within a few
degrees of the saturation temperature.  It appears to be impossible to achieve
stable operation of the unit unless these two conditions are simultaneously
met.

       The effect of preheater outlet temperature is illustrated quite clearly
in the traces of Figure 71.  At the left hand side of the trace, the preheater
outlet temperature is only 410°F, about 75°F below the saturation temperature
at the outlet pressure of 610 psi.  The six traces shown represent steam
temperature  at superheater outlet for each of the six parallel flow superheater
tubes.  It can be seen that two of the tubes have a  much lower temperature
than the other four, and that the temperature in these  two tubes undergoes
a sustained oscillation in temperature.  It is believed  that there  is considerable
liquid phase flow in the tubes shown by these temperature oscillations, even
near the superheater outlet.  This is also shown by the mixed mean super-
heater outlet temperature,  which was quite low, in spite of the high wall
temperature,  which fluctuated between 480 and 620°F.   It -was found that with
oscillations such as those shown on the left hand side of the trace, it was
impossible to achieve anything like the rated superheater outlet temperature
of 1000°F without  producing excessive wall temperatures in the superheater
tubes.

       At the right hand side of the trace, one sees the effect of  an increase
in the preheater outlet temperature.  Preheater temperature is now 455°F,
only about 45°F below saturation temperature.  As preheater outlet tempera-
ture is increased,  the wall temperature oscillations disappear,  and the wall
temperatures of all six superheater tubes become nearly equal.  Superheater
temperature  was steady,  without the 40°F oscillation observed at the left
hand side of the trace.

       An explanation of the importance of the preheater outlet temperature
and other parallel flow stability criteria has been discussed in the literature
A brief review helps explain the  performance of the unit.  There are several
types of two phase flow instability which must be considered and,  in general
avoided, if the performance of the steam generator is  to be considered
satisfactory.  They are to be avoided for two reasons.  First, they can cause
disastrous overheating of the tube walls,  even though steady state calculations
indicate that  wall  temperatures should be  satisfactory. Second,  they can
produce oscillations in steam generator outlet temperature and pressure even
though there  has been no change  in steam  demand, air flow,  or fuel flow.
This tends to complicate the controls problem.  Flow instabilities can be
classified according to whether they  are periodic or aperiodic.

       A periodic instability results when the flow conditions are such that
an increase in flow produces a reduction in pressure drop.   For  this type of
instability, a high loss factor for the flow tends to be stabilizing,  as does a
                                    93

-------
                                  P in =640 psi
                                  P oul=610 psi
Tmout410°F
47 PPHTUEL
                                                      580to620°F
                 39% AIR FLOW
                 TSHout=902°F
                 P in = 670 psi
TF;2275 F
TSH out=908°F
39% AIR FLOW
  I  I  I  I  I  I  I I  I  I  I  I  I  I  I  I  I  I  I  I  I I
                                                                        J—I  i  I—1_J—I—L_l—I—1—I—I—I—I—I—I—I—I—I—I—I—I—I—I—I—I—1—I—I—I—I—I—L,
                                                440 PPH WATER
                                                40% AIR FLOW
                            Pout =640 psi
                            Tp'H="430lo440 F
                                              P out= 630 psi
                                              P in= 660 psi
I  I  I  I  I  I  I  I I  I  I  I  I  I  I  I  I  I  I  I  I  I I  I  I  I  I  I  I  I  I  I  I  I  I  I I ' I  I
                                                                            400 PPH WATER
                                                                                                        47 PPH FUEL.
                                                                                                        TPHout= 455° F
    h
                   HI-
Time  ~*| r~ 20 Seconds
      FIGURE 71.   SUPERHEATER OUTLET  TUBE WALL TEMPERATURE (SIX FLOW PATHS)

-------
small difference in specific volume between the liquid and the vapor phases.
Inlet subcooling has a definite destabilizing effect.  A good discussion of these
tendencies is given in chapter 7 of Tong (Ref. 2).  It should be mentioned
that any inflection point in the curve of the pressure drop versus flow is likely
to cause difficulties in parallel flow units.  If the stability is  marginal, then
large changes in flow rate can result from small differences  between the
tubes in heating rate or loss factor.  This can cause  serious  flow maldistribu-
tions with its accompanying overheating of some of the tubes, as they become
starved for water.

       Periodic flow instabilities are usually the result  of coupling between
thermal and hydrodynamic  forces. They tend to be more troublesome in
parallel flow units than they are in monotube units.  In a parallel flow unit,
oscillations can occur in one tube without significantly affecting the others.
When this is the case,  other parts of the loop,  such as accumulators and
throttle, have less chance to damp the oscillations.  Periodic instabilities
can occur in systems which are stable against aperiodic instabilities.  They
can have highly undesirable interactions with the boiler automatic controls,
if this  possibility is not carefully  eliminated in the design.  In general,  those
factors which increase the  aperiodic  stability also increase the periodic
stability.   Some other considerations are: (1) a high heat input aggravates
instability; and (2) an orifice at the inlet strongly increases the stability,
while increased resistance at the  outlet is strongly destabilizing.  Periodic
flow instabilities  can sometimes be caused by a shifting  back  and forth
between different two-phase flow regimes, for  example, slug flow and
annular flow.

       While the  analysis of flow  instabilities is quite complicated and, at
best,  only  approximate,  it  is nevertheless fairly clear what the designer must
do to eliminate the danger of two phase flow instabilities.  The approach to
the solution of this problem in the high efficiency unit discussed in the next
section is outlined below:

        1.   The preheater is designed so as  to give a very slight amount of
            vaporization before the flow enters the vaporizer. The  inlet
            subcooling for the vaporizer is therefore  zero.  Under  such
            circumstances,  it is theoretically impossible for  aperiodic .
            instabilities to  exist, because the inlet subcooling is negative.
            Collier and Pulling (Ref.  3) s-ay that their experiments  indicate
            that with two phase flow at the inlet, periodic instabilities are -
            unlikely to occur.

       2.   There is a restriction at the inlet to the vaporizer section.  This
            has  a  further stabilizing effect.
                                    95

-------
       3.   The number of parallel passages in the vaporizer and superheater
            sections will be kept as  low as possible, so that other parts of the
            loop will have the maximum possible damping  effect.

       4.   The flow will be mixed in manifolds  at both the inlet and exit of
            the vaporizer tubes.   This  will minimize the effect that flow
            instabilities in any one section have  on the other sections. It
            also ensures a very stable  flow in the superheater section, where
            tube wall temperatures are expected to be  highest.

       5.   Mass flow rates are chosen so that the transition from one type of
            two phase flow to another is not likely to take place over a large
            length of tube all at the same time.

       6.   The final design will be  analyzed by  the method presented by
            Quandt (Ref. 4) in order to determine the degree of periodic
            flow stability,  and the frequencies involved.  Such information
            will be useful in the design of the controls.

       Experience with the parallel flow steam generator tends to confirm the
results which would be  expected from a study of the literature.  Inlet subcool-
ing has been seen to have a definite  destabilizing effect.  The flow is less
stable at high heat inputs than it is at low heat inputs.  Increasing the outlet
pressure, hence  reducing the volume change due to vaporization,  has tended
to stabilize  the flow. Since test results confirm results predicted in the
literature,  this literature  is believed to be a reliable basis for design.

       Steady state performance data have  been obtained at fuel valve settings
ranging from 10 to 98 percent.  The  results are  shown in Figure 72.  At full
load,  the performance is very close  to theoretical predictions based on
2500°F flame temperature  and zero  heat loss to  the surroundings.  The rise
in efficiency with decreasing load is  much less than theory predicts, however.
There is considerable scatter in the  data at low load.

       It is believed that the low efficiency at low load is primarily due to
the fact that it is necessary to lean the combustor at low fuel flows to reduce
NOX causing a drop in flame temperature as the  load is decreased.  While at
full load the flame temperature based on CO2 measurements is in the range
2500-2700°F, at 20 percent air valve position it drops down to 1800-2000°F.
The lower temperature would cause  a noticeable loss in boiler efficiency.

       The  scatter in the low load data points is thought to be primarily due
to the fact that backlash in the fuel-air  valve  linkage used with the six parallel
flow passage unit occasionally cause rather large differences in flame tem-
perature corresponding to  the same  setting.  A contributing factor to the
scatter may be the difficulty of obtaining steady state operation at low loads.


                                   96

-------
   95 -
   90
   85
o
Q
u
U
z
u
b.
b.
   30
   75
   70
   65
LEGEND

  O  DATA POINTS

	 BEST CURVE FIT TO DATA

	THEORETICAL PREDICTION
     BASED ON 2500* F FLAME
     TEMPERATURE + ZERO
     HEAT LOSS TO SURROUNDINGS
                          8
           10
                   20
                          30      40      50      60       70
                             FUEL VALVE POSITION - % OF FULL LOAD
                                                              80
                                                                     90
                                                                           100
   FIGURE 72.  TEST BED VAPORIZER STEADY STATE PERFORMANCE

  A change in superheater temperature of only 2°F per minute can apparently
  mean that the unit is still well away from steady state at low loads.  A
  continual high frequency fluxuation in the water  inlet flow recorded by the
  turbine flowmeter used to measure water rate is also thought to be a possible
  factor contributing to the scatter of the data (see Section 8).

          The unit seems to have only limited hydrodynamic  stability at high
  loads.  Even at superheater temperatures  in excess of 1000°F, a definite
  sustained oscillation in superheater temperature can frequently be observed.
  at loads in excess of 80 percent of the design load.  The poor stability also
  seems to be reflected in worsening flow distribution in the  superheater tubes
  as  the load  is increased.  This is shown in the charts of Figure 73.  At the
  high load point, the difference between hottest and coldest tube is  slightly
                                       97

-------

1300



b-
°i 1200
w
OS
EH

K
TUBE WALL TEMPE
M M
 O H*
O O O
v\ ° ° <=>
Tube
No.



DATA POINT 23%









I

1

TF •» 1880° F
TpH = 512° F
TSH = 1004°F





I

I


^
$$
^
^
$$
$$
^
._.
l%^m%^^

1

23456












DATA POINT 81%

Tp • 2675° F
TPH " 475°F
TSH - 988" F





	
!

NX
ss
^





C?^
1
^
s§








^
^
^
^
^
XX
^
^
XV

LEGEND
TF - AVERAGE FLAME
TEMPERATURE BASED
ON CO2 MEASUREMENT
TpH = PREHEATER OUT
TEMPERATURE
Tcu - MIXED MEAN SUPER-
SH
HEATER OUT TEMPERATURE
' (INDICATED BY DOTTED
LINE ON BAR CHART)


	

1 23456
   FIGURE 73.  TEST BED VAPORIZER.  TUBE WALL TEMPERATURE
                AT SUPERHEATER OUTLET

over twice what it is at the  low load point.  The difference between hottest
tube wall temperature and mixed mean superheater temperature is also
slightly over twice as  great at high loads. Although these  stability
characteristics were present, hundreds of hours of emission tests and
closed loop control system  tests do indicate that a practical parallel flow
system can be achieved.  The main problem is controls.  Steady state and
most transient controls do not present much of a problem.  It appears from
the results that only an initial startup stability is of major concern.  Although
not worked out in demonstration tests,  it does appear as though a controlled
schedule in the rise of pressure and temperature would allow satisfactory
automatic startup  of a parallel flow unit. Additional control measurements
would probably be required to give adequate reliability.  By measuring each
of the parallel flow outlet temperatures  and restarting if chugging occurred
during transient operation,  a high degree of reliability against burnout
failures would be ensured.  Although it turned out to be unnecessary with the
automatic control  system, the six parallel flow passages temperatures were
continuously monitored to prevent damage to the unit during all test cell
operations.
                                   98

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                 HIGH EFFICIENCY SINGLE FLOW PATH
                           STEAM GENERATOR
       A second steam generator incorporating fins for high efficiency and
light weight was designed and tested.  It also incorporated essentially a
monotube flow arrangement (only two parallel flow passages in the dryer)
for improved stability.  To achieve high efficiency, 'low weight, low water
holdup and low gas side pressure drop,  small diameter finned tubing was
used in the design.  The dominant thermal resistance is on the gas side.
Fins allow this resistance to be reduced by adding heat transfer area which
is not highly stressed, as  are the tube walls.  Since the fins are unstressed,
they can be made of very light gage metal thus saving •weight.  In the pre-
heater, the fins account for only 61.9 percent of the total weight, while
providing 85.9 percent of the total heat  transfer area.   Because of the small
hydraulic diameters attainable with fins, heat transfer coefficients are much
higher, providing a further saving in weight.  Heat transfer coefficients in
the finned tube parts of the exchanger are about half again as high as the
bare tube parts  of the  exchanger.

       Gas side pressure  drop is low because fins present a surface with a
high ratio of drag to form  factor.  Friction drag allows a much higher heat
transfer per unit pressure drop than does form drag, since the viscous
dissipation in the turbulent wake does not  contribute to the heat transfer
process.

       Finned tubes help reduce water hold up,  because they allow a large
gas side heat transfer surface for a given tube length with only a small
volume of tube.

       The effect of changing tube diameter on water hold up and matrix
weight is derived in Appendix II.  Both  hold up and matrix weight increase
slightly more rapidly than in direct proportion to the tube diameter.  For
finned tubes,  fin weight increases in proportion to the square of tube diameter.

       The basic constraints used for the unit were  to have an efficiency of
at least 85 percent LHV at full load of 1200 pounds per hour of steam and
that it fit in the  same combustor used for  the first steam generator (21. 5
inch steam generator OD).
                                    99

-------
       Table VII shows the flow arrangement and fluid conditions of the steam
generator.  In general, the overall flow arrangement that proved out well on
the test bed unit was incorporated in this improved steam generator.  Place-
ment of the vaporizer tubes upstream of the dryer and superheater gives
protection against burnout failures and  high tube wall temperatures that
would result in a pure counterflow unit.  Table VIII is a summary of the units
performance and construction features.

                               TABLE VII

                           FLUID CONDITIONS
     0
      Vaporizer
 Gas In
 2670 Ibm/hr
Superheater
                                  ©
Dryer
            ©
75*
                                     0
Preheater
                                                 0
                                                                   0
                    Water In
                  1200 Ibm/hr
Station
1
2
3
4
5
6
7
8
9
10
11
Temperature
(°F)
2500
2017
1985
1714
1090
306
160
561 (3. 9% quality)
559 (57. 3% quality)
696
999
Pressure
Atmospheric








Atmospheric
1194 psia
1148 psia
1126 psia
1064 psia
1000 psia
         A comprehensive summary of the monotube steam generator design
 including sizing, heat balances,  part load-performance, dryer heat transfer,
 burnout,  air side pressure drop, and parallel flow-passage stability is con-
 tained in Appendix III.
                                   100

-------
                        TABLE VIII

      SUMMARY OF PERFORMANCE PARAMETERS

Maximum Steam Rate                 1200 Ibm/hr
Maximum Heat Transfer Rate         1.651 x 106 BTU/hr
Boiler Efficiency
   / API 56 Gasoline, S.G.  = 0.755                  \
   \HHV = 20, 160 BTU/lbm; LHV = 18, 840 BTU/lbm'

        100% load             84.4% (HHV); 90. 1%  (LHV)
          5% load             90.0% (HHV); 96.3%  (LHV)

Gas Exit Temperature
        100% load             306 F
          5% load             172 F

Gas Inlet Temperature        2500  F
Gas Side Pressure Drop       1.318 in. H2O at 100% load
Feedwater Inlet Pressure      1194  psia
Steam Outlet Pressure        1000  psia
Maximum Fin Temperature    999 F
Maximum Tube Wall
  Temperature                1031  F
Total Matrix Metal Weight     66.0  Ib
Matrix OD                    21. 5  in.
Total Matrix Depth            6. 65  in.
Water Hold up                 6.76  Ibm

Construction
    Preheater:  Three rows of single flow passage flat spiral
          coils in cross counter flow, 0.375 inch outside dia-
          meter, 0.028 inch thick 321 stainless steel tubes with
          15 copper fins per inch.  Fin outside diameter is 0.625
          inch with a thickness of 0.012 inch.  Transverse pitch
          0.717 inch, axial  pitch 0.784 inch.

    Dryer:  One  row of two  parallel flow passage flat spiral coils
          0.375 inch outside diameter, 0.028 inch thick Hastelloy
          X tubes with 15, 304 stainless steel fins per inch.  Fin
          outside diameter 0.625 inch with a thickness of 0.012
          inch.   Transverse pitch 0.717, axial pitch 0.784 inch.

    Superheater and Vaporizer: Both are two rows of bare 0. 627
         inch,  0.042 inch wall thickness 3Z1 stainless steel tubes
         in single flow passage arrangement.  The transverse and
         axial pitch  is 0.9375 inch.   Superheater is in cross counter
         flow and the vaporizer is in cross parallel flow.
                              101

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7.1  CONSTRUCTION

       Flow arrangements, matrix spacing and materials are defined in
Tables VII and VIII.  All welded construction is used with the exception of
the fins.  Fins were brazed to tubes after coiling.  Figure 74 shows a copper
finned preheater coil prior to brazing,  Three coils make up the preheater.
Flow is cross counter flow with each of the 0.375 tubes being joined in series
by special welded connectors.  The only parallel passage row in the unit is
the dryer located immediately above the preheater.  Two coils with twice
the transverse pitch (Fig.  75) of the preheater are intermeshed to form a
single dryer row with the same transverse pitch as the preheater but with
two parallel flow passages.  Tube material in the dryer was Hastelloy X.
Under normal conditions stainless  steel would be adequate but the unit was
designed to be failure proof with regards to parallel  flow instabilities.
Stress temperature characteristics are sufficiently great to allow successful
operation with zero flow through one of the two dryer coils.  Analysis of
stability characteristics indicated a high  degree of stability in this area.
Tests confirmed the analysis but did show a 60°F difference in the outlet
temperature between the separate flow paths.

       Outlet  water from the preheater bypasses the dryer and superheater
and enters the first row of the vaporizer  adjacent to  the combustor.  A
vertical tube in the center core (Fig. 76)  brings the preheater outlet water
up to a special welded connector on the inside end of the top coil.  At the
outside of the  spiral coil a special welded U-connection (Fig.  77) into the
second row of the vaporizer section. At  the inside core a jumper line brings
the outlet from the vaporizer  section down past the two superheater rows to
the dryer. Flow is divided at this point into the two  dryer coils where  it
flows from the center out to two jumper tubes.  These tubes bring the steam
down around the outside (see tube at far right of Fig.  76) of the preheater
section and across the bottom of the unit  and back up to the first row super-
heater through the center core.  In the center core the flow is combined  in
a manifold and flows  through the superheater  coils in a single flow path.
Steam from the first  superheater row is coupled by a "U" connection (Fig.  77)
to the final superheater row for discharge through an outlet tube that directs
superheated steam down the center core and out across the bottom of the
unit.

       Immersion thermocouples were installed at the inlet and outlet of
each section of the unit. Figure 77  shows the installation of a thermocouple
that records temperature on the outlet of the first row vaporizer and one
that measures temperature at the outlet of the first superheater row.  Two
wall temperature probes were installed within 3 to 4  inches of the outlet of
the superheater's last row. Both of these units agreed well with the
immersed superheater thermocouple,  but always indicated slightly higher
as was expected.


                                   102

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FIGURE 74.  PREHEATER COILS WITH COPPER FINS
   FIGURE 75.  ONE OF THE TWO DRYER COILS
                       103

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FIGURE 76.  ASSEMBLED STEAM GENERATOR
            FIGURE 77.  STEAM GENERATOR U CONNECTIONS
                     104

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7.2   STEADY STATE PERFORMANCE

        The high efficiency finned tube steam generator has been calibrated
for steady state efficiency at fuel flows from 15 to 105 pounds per hour fuel
flow, corresponding to steam rates from 240 to 1200 pounds per hour at
1000 psia and 1000°F.  The unit was stable with little  or no difficulty in
holding a particular steady state point. As a consequence, little  scatter in
the data was observed.

        The design goals for this unit are listed below.

           • Maximum Steam Rate:  1200 pph @ 1000°F and 1000 psia

           • Efficiency (LHV)  at full load 85%

           • Water Side Pressure drop at full load - 250 psi maximum

        The steady  state efficiency is  shown on  the curve of Figure 78.   As
can be seen, the design goal is  slightly exceeded at full load,  and well
exceeded at fuel flows representative of those encountered during the Federal
Driving Cycle.

       At the maximum steam flow measured,  1245 pph,  the water  side
pressure drop was 320 psi.  This corresponds  to a water side pressure drop
of 297 psi at a flow of 1200 pph, which is slightly higher than the design goal
of 250 psi.  It is thought that this increase is due to the fact that the mani-
folding system in the present unit is slightly more restrictive of the flow than
was  originally estimated.

       Although the unit meets the design goals regarding efficiency, it does
not measure up to the efficiency predicted for it by analysis,  and  gas side
pressure drop was also significantly lower than predicted.  These three
factors; low measured efficiency, high exhaust temperature, and  low gas side
pressure drop combine to  indicate  that the poorer than expected performance
is due to significant blowby being short circuited around the tube coils,  so
that  not all the combustion gases pass through the coils.  It seems quite
possible that if the blowby can be stopped, full  load efficiency can be brought
close to the 90 percent level.
        As was predicted by analysis in Appendix III, flow in the parallel
passages of the dryer was quite stable.  No tendency toward chugging was
observed.  Flow through the boiler was much more nearly constant  at
steady state than it was for the  original six parallel path unit.  The  maximum
temperature spread between the dryer outlets was 57°F, as compared with
300°F for the six parallel path unit, as reported in Section 6.
                                    105

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    1.02

    1.00

    0.98

    0.96

    0.94

  u 0.92
  UJ
  y 0.90
  L_
  m 0.88
  >
  5 0.86

    0.84

    0.82

    0.80
         EPA REFERENCE FUEL- LHV 18,500 BTU/LB (UNLEADED GASOLINE)
® DATA POINTS
D DESIGN GOAL
A ANALYTICALLY ESTIMATED POINTS
                   ®
          I   I   I
                             1	I
                              DESIGN GOAL
                                         I   I   I    I   I   I   I   i    I   I
       0  5  10  15  20  25 30 35 40 45 50  55  60  65  70 75 80  85  90  95 100
                                 FUEL FLOW	»~PPH
   FIGURE 78.  HIGH EFFICIENCY FINNED TUBE STEAM GENERATOR
                STEADY STATE EFFICIENCY  MEASUREMENTS

        Inspection of the steam generator after approximately 70 hours of
operation revealed no damage or accumulation of deposits.   EPA reference
unleaded gasoline was used as the fuel.  Both steady state efficiency measure-
ments and severe transient cycling tests  were performed during the operating
period.  No leakage or distortion occurred during  operation  of this unit,
although temperatures and pressures in excess of  1200°F and 1200 psi
occurred during some transients.  Figure 79 illustrates the  condition of the
top row just below the combustor.  Vaporization takes place in  this and the
next row at an average temperature of 550°F.  As  a consequence, the tubes
still retain a bright appearance with little traces of oxidation even though gas
temperatures in excess  of 2600°F (see Fig.  79) entered the tube matrix at
this row.   Two  rows below the last superheater coil had a relatively dark
but thin oxide coating typical of operation of 321 stainless steel at about
1100°F wall temperature.   A 1/8 inch thick Hastelloy X center core baffle
plate indicated a relatively heavy oxide layer but little distortion.  No direct
connection between this  plate and the three tube spacers was made in this
installation.   Additionally, the depth of the tube spacers was greater than
the unit described in Section 6.  As a result of these two improvements no
breakage  or distortion occurred in the first  row tube spacers on this unit.


        Figure 80 illustrates the condition of the last row preheater from the
 exhaust duct.  Both the stainless steel tubes and copper fins were in a brigh*:
 metal condition with little  indication of either oxidization or deposits.
                                    106

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FIGURE 79.   TOP COIL (VAPORIZER) AFTER 70 HOURS OF OPERATION
     FIGURE 80.  BOTTOM COIL (FIRST ROW PREHEATER) AFTER
                  70 HOURS OF OPERATION
                                 107

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                                   8
                           CONTROL SYSTEM

       A unique automatic control system was evaluated as an integral part
of the combustor steam generator test program.  Requirements for an auto-
motive steam generator control can be summarized as:

           • Maintain a fixed schedule of air-fuel ratios across the full
            operating range of the combustor to ensure low emissions,
            correct outlet temperature and prevent flame out.

           • Maintain outlet steam pressure at constant value  of 1000 psia
            (tolerance goal of ±100 psi)

           • Maintain steam outlet steam temperature at  a constant value of
            1000°F (tolerance goal of ±100°F).

An automatic control was synthesized to maintain these  functions under the
virtually continuously varying  steam demands of an automotive  city driving
cycle. Inherent in the requirements are large turndown ratios  with rapid and
frequent power level demands.

       System synthesis was based upon first providing  a positive synchro-
nization  between the fuel and air flow control subsystems.  Secondly,  it was
determined that the transient requirements for steam flow and the slow
thermal  response of the unit required an open loop schedule of fuel and water
to be instantaneously responsive to steam flow.   By providing this anticipatory
feature in the control loop,  a relatively limited authority was needed in the
closed loop temperature and pressure trim control circuits.  Response
characteristics observed during manual operation of the test bed steam
generator indicated that the best control response occurred when firing
rate (fuel-air flow) was used as the trim control input to correct pressure
errors.  Water flow rate changes were used to correct temperature errors.
In both cases outlet steam pressure and temperature were the only parameters
in addition to steam rate required as inputs to the control system. Fuel flow,
water flow and air flow were the only outputs of the control system.  Com-
ponents to allow open loop synchronized scheduling of air, fuel and water
were specially designed to be integrated into the system. Electronic  sensing,
positioning and compensation was used in  the integrated  system since its
flexibility lends itself to a highly  developmental controls program.
                                   109

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8.1  SYSTEM DESCRIPTION

       Operation of the basic open loop schedule control (anticipatory type
steam generator control) is simple and straight-forward.  Output steam flow
rate is controlled by a throttle valve that has a pressure ratio above critical
flow at all times.  It is a simple variable orifice contoured to provide a
linear change in flow area with input position.  Thus, if the pressure in the
steam generator is relatively constant,  the steam flow  is directly proportional
to the "manual  throttle position". An electrical position transducer measures
this  position and thereby provides an electrical signal directly proportional
to flow.  In  an actual automobile installation this signal could be synthesized
from the engine speed and cutoff valve position or a direct measurement of
flow. A closed loop position control subsystem (Fig. 81) automatically
moves the triple valve actuator to a position that will give the desired steady
state temperature and pressure while balancing the heat input to the steam
rate. The gain of the control system is approximately  600,000 BTU/sec.
(It takes approximately two seconds to move from 0 to full flow.)

       Closed loop trim control on output steam pressure is provided by an
electronic system.   Outlet pressure is sensed by a  strain gage transducer.
Comparison between actual pressure and the  desired  setpoint of 1000 psi is
made in an electronic controller having  a simple proportional output. A
wide adjustment of  gain is provided in this controller to assist in establishing
the best gains to be used with the system. From the  controller the  signal is
operated on by  a pressure trim gain compensator that scales the control
signal proportionally to steam flow (position of the steam throttle valve).
For  example, if operating at 5 percent steam flow the pressure circuit would
have an actual authority of ±2 percent. At 50 percent steam flow the corres-
ponding authority of the pressure trim circuit would be  ±20 percent.  The
compensated pressure trim signal is then summed together with the main
open loop position control signal (proportional to steam flow) to trim the
triple valve  actuator position from its basic position assumed as a function
of steam flow.

       Temperature trim is provided by a completely independent electronic
system.  Outlet steam temperature is sensed by a thermocouple and a pro-
portional plus integral and derivative  controller which trims the temperature
by adjustments to the feedwater rate.  For a given set of conditions, reducing
the feedwater rate decreases the water level.  When the water level (dryout
zone) drops  the  most significant effect is to increase the length of the super-
heater,  thereby increasing outlet steam temperature.  Since the feedwater
metering valve is mechanically linked to the air and fuel valves, it is
necessary that  a controller independent of the triple valve actuator be incor-
porated. The method selected was to independently regulate the pressure
drop across the water metering valve.
                                   110

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                                    POSITION
                                    FEED BACK
              TEMPERATURE
              TRIM TO AP REG
VALVE
ACTUATOR


AMP
R 1
1

1
r APREG — -,
/" X ' 1 Ww

/ WATER \1±. MAE.TERING -•••• • ',
\ PUMP J VALVE _ O, ,
\__^ 1 MOTOR !
ACTUATOR T
MECHANICAL - •
LINK BETWEEN
THREE VALVES
1
1 — v
COMBUSTION
FAN
AIR -|0j
VALVE 	 ! 	 1
•»-
1
/^~^\ I_LJ r"*"
{FUEL)-r FUEL :«i 	 j
^^ I «
L- APREG —

F
F
C

STEAM I
TEMP ;

OPEN I
POSITI
	 /CA CONTR
AMP (Vl^
vv
POSITION ^
FEED BACK

I 10V
T ^-\ m
i 	 yVAAAA-4-V >— TH
POSITION po
•i? TRANS
T S
.OOP
ON
OL
NUAL
ROTTLE
SITION
TEAM
VAPOR WlL'" ^ THROTTLE EXHAUST
V«rUK — •-+ — . ^ . — ^ — . ^^ ... . .._ . _ . — . -»-
GENERATOR STEAM J p VALVE
OUI 1
pn<;
COMBUSTOR j^
LV^i
I 1 PRESSURE * /
EXHAUST TRIM GAIN /
tXHAUbT COMPENSATION-
'ROPORTIONAL STEAM
RESSURE — JSIILv
ONTROLLER
PRESSURE
TRIM SIGNAL
ITION
NS
NA^ 	 '
FIGURE 81.  COMBUSTOR/VAPOR GENERATOR CONTROL SYSTEM
                                      111

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8.2  SYSTEM COMPONENTS

8.2.1   System Flow Arrangement

       Figure 82 schematically describes the operation of all major fluid
flow components.  The basic control approach is to mechanically schedule
fuel, air and water as a function of steam demand.  A triple valve actuator
operates each of the metering systems from a signal from the  electronic
controller.  Linkage between the large diameter rotary air shear valve (see
Section 5) drives through cams the fuel and water metering valves.  Both
valves are spool type with slotted orifices.  The water metering valve is
pressure balanced to minimize actuation loads.  A constant pressure drop of
16 psi  is used to control fuel.  Thus flow is a function of the valve's  position
only.  The mechanical linkage and cam drives allow a fixed schedule of fuel
flow to air flow  for emissions requirements.   Water flow orifice area is
controlled by the triple valve actuator but the pressure drop is regulated by
an electronic temperature trim  actuator.  A bypass differential pressure
regulator controls the pressure drop across the water metering orifice.
Pump flow must be at least 20 percent greater than the actual steam demand
to allow proper  functioning.  As pressure is increased on the upstream side
the piston of the valve moves to the  right against the balance spring force.
The bypass  orifice opens  up until the pressure drop across the piston and
metering valve is equal to the spring force balance.  By adjusting the spring
force with an electric position actuator the pressure drop and thus the flow
can be adjusted. An electronic  temperature trim circuit adjusts the flow to
maintain a constant  outlet temperature.

8.2.2  Air Valve and Triple Valve Mechanization

       A complete description of the rotary shear valve is given in Section
5.3.2.  Rotary positioning of the valve is accomplished by the attached
actuation tab shown  on the upper right hand corner of Figure 29.   This tab
projects through a seal in the combustor case wall. The tip of the air valves
actuation tab is  visible at the top of Figure 83.  Rotation of the air valve is
accomplished by a linear  screw jack actuator driven by an electric motor.
A bolt  drives the rotary shear valve through a bearing mounted in a slotted
cutout  in the tab.  Two cams on the bottom of the  linear actuator carriage
operate the  fuel (inboard) and the water metering valves.   In Figure 83 the
fuel metering valve  is installed.  Valve position is controlled by  the con-
tour of the cam  which drives the spool down reducing  the fuel metering area
as the  air valve reduces  the flow area into the combustor.   Since constant
voltage is maintained to the fan  motor, its speed and pressure  are relatively
constant.  Thus air flow  is always in correct synchronization -with fuel flow;
the ratio depending upon  the shape of the cam.  Figure 84 shows  the triple
valve actuator with both the fuel and water metering valves in operating
positions of 100 percent power output.  Microswitches installed on the  actuator
                                   112

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                     rs
OPEN LOOPJCHEDULE AND

PRESSURE TRIM CONTROL
                               AIR VALVE
                         AIR METERING PORTS
SUPERHEATER
PRESSURE

SUPERHEATER .
TEMPERATURE

STEAM FLOW  '
                          VARIABLE
                          DISCHARGE
                          PUMP
                          (FUNCTION
                          OF STEAM
                          FLOW)
                                                                                  FUEL PUMP
                                                                                  DISCHARGE
                                                                                        FUEL
                                                                                        REGULATOR
TRIPLE VALVE
 ACTUATOR
                        WATER METERING VALVE
                                                       FUEL METERING VALVE
                                                           K WATER TO
                                                       	% STEAM
                                                           v GENERATOR
                                                 FLOW METER
                                     SENSING PORT
                             AP  REGULATOR
                                                                         FUEL TO
                                                                         ROTATING
                                                                         CUP
                                                                                      HYD OR ELECT
                                                                                      TRIM TEMPERATURE
                                                                                      ACTUATOR
                                     o
                                    PUMP
                                   SUCTION
                                      TEMPERATURE TRIM CONTROL

                      FIGURE  82.   CONTROL SYSTEM FLOW SCHEMATIC

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                                     Air Valve Actuation Tab
FIGURE 83.  TRIPLE VALVE ACTUATOR SHOWING AIR VALVE ACTUATION
             TAB
                                        FIGURE 84
                                        TRIPLE VALVE ACTUATOR WITH
                                        FUEL AND WATER VALVES
                                        INSTALLED
                                    114

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carrier electrically limit travel at full and low flows.  A rotary position
transducer attached to the screw drive shaft provides a position feedback
signal.

8.2.3  Air Valve (see Section 5)

8.2.4  Fuel Valve

       A technical challenge exists in providing a linear fuel valve having a
40 to 1 turndown range.  A goal of maintaining at least ±10 percent accuracy
in the fuel-air ratio schedule means that the valve must be repeatible within
better than 10%/40 or ±0.25 percent of the full range at the final turndown
position.  To make the valve insensitive to contamination and allow use of low
pressure automotive pumps,  a low pressure drop  (15 psi)  was used in its
design.   Figures 85, 86, 87 and 88  illustrate the design of the valve.   A
rectangular slit forms the fuel metering orifice.  Flow area is controlled
by the position of a cam driven plunger.

       For accuracy at  these low flows (down to 3. 5 pounds per hour)  it is
important to size the valve metering orifice to make it insensitive to viscosity
changes  caused by temperature and blending. For normal practice a Reynolds
number greater than 4000 will ensure a relatively constant coefficient  of
discharge.

       Reynolds number is:


                  Wf   4A
            R   :
             e        n

•where
            W£  is mass flow (Ibm/sec)

            A   is flow cross section area (ft  )

            P   is perimeter of flow slot (ft)

            M   is kinematic viscosity of fuel
                (M = 1.70 x 10"5 Ib sec/ft2 for JP-4 and M = 1.02 x 10~5 Ib
                sec/ft2- for gasoline at 70°F)
         4A/P  is the hydraulic diameter of flow orifice

One hundred percent fueling rate is

            137 Ib/hr = 0.0381 Ib/sec

                                    115

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FIGURE 85. EXPLODED VIEW OF FUEL VALVE
                          im
          I   I   I   I   I
             6 INCHES
  FIGURE 86. FUEL VALVE COMPONENTS
             116

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     FIGURE 87. METERING SLOT
E.
I    I    I    I    1
     6 INCHES
                                <
  FIGURE 88.  ASSEMBLED FUEL VALVE
               117

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Assume JP-4 as a fuel and slot dimensions of 0.008 in. x 0.40 in. at 100
percent
                           4 x
Reynolds  =.
                   0.038
                   32.17
                                          = 4087
                          12
       Figure 89 shows Reynolds number for JP-4 fuel at the low range lies
in the transition zone (R  = 2000 through 4000) from laminar to turbulent
flow.  The valve was sized this way such that slot  dimensions did not become
too small and impair accurate function of valve. Low flow valve operation
will be experimentally investigated to determine if this has an  unacceptable
effect on fuel flow.   For gasoline (the normal fuel  to be used) the Reynolds
number is well above the  transition zone across the entire operating range.

       Flow test calibrations confirmed the analysis of the valves character-
istics.  Lapsed time to accumulate an accurately measured weight of fuel
was used to provide an  absolute calibration of the valve.  Figures 90 and 91
plot the data points against axial position of the valve's  spool.  Linearity
with ±5 percent is exhibited across the 40 to 1  range. Relatively linear
characteristics are maintained down  to 0.9 pph. Valve gain was 368 pph
per inch of stroke.
            8000
                        20
                                40        60        80
                              PERCENT OF FULL FLOW
                                               100
FIGURE 89.
  REYNOLDS NUMBER VS. PERCENT FUEL FLOW FOR JP-4
  AND GASOLINE; 40 to 1  Turndown Ratios; Slot Dimensions
  0. 40 Inch by 0. 008 Inch
                                  118

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FUEL MIL-F-7024A
S.G.  - .764
VISCOSITY » 1.17 CENTISTOKES
AP= 16.4 PSI
FLOW PATH: INSIDE TO OUTSIDE
                                                            GAIN • 368 PPH PER INCH
                              .15        .2
                           VALVE POSITION INCHES
        FIGURE  90.   FUEL  VALVE  CALIBRATION
                                       119

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   10 u
                                                     368 PPH PER INCH
  0.
  §5
  o
  J
  b.
  J 4
  U
9/ " ~sV DEVIATION
  ..._


—40 TO 1 RANGE
                       .01
                             .015     .02
                            VALVE POSITION INCHES
                                           .025
                                                        .035
     FIGURE 91.  FUEL VALVE CALIBRATION 1 TO 10 PPM RANGE
8.2.5   Water Metering System

       Water flow to the  steam generator is controlled by a valve similar to
the fuel valve in concept.  A slotted orifice  area (Fig. 92) is controlled by
the position of a spool land actuated by a cam.   Because the operating
pressure is over 1250 psia at maximum steam flow a pressure balanced
spool (Fig.  93) was incorporated.  Water from the feed pump enters the
right hand side port of  Figure 94 and flows around a reduced spool diameter
flow passage.  It then passes through the variable orifice to the steam
generator.  Flow rates are a function of the position of the spool and the
pressure drop across the valve.  Calibrations of the valve were made at a
                                   120

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         FIGURE 92. WATER METERING VALVE ORIFICE
FIGURE 93.  COMPONENT PARTS OF THE WATER METERING VALVE
                               121

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         FIGURE 94. ASSEMBLED WATER METERING VALVE

constant 50 psi differential pressure with water.  For each position of the
spool calibrated,  an absolute flow rate was established by measuring the
weight of water flowing through the valve during a known period of time.
Figure 95 is a plot of the flow rates measured versus valve  spool position.
From 1507  to 34  pounds per hour the  standard RMS deviation from a straight
"best fit" line was 18 pounds per hour.

       As  was discussed earlier in this  section, closed loop temperature
trim is providid by  controlling the pressure differential across the water
metering valve.  As a consequence the temperature of the outlet steam can
be regulated independent of the firing rate.  A specially designed differential
pressure control valve was designed to perform this function. Water from
the pump enters a chamber on the high pressure side of the  valve's piston
from the pump discharge.  Pressure  from the downstream side of the metering
valve is  connected by a small sensing line to the opposite side of the piston.
Downstream pressure plus the spring force balance the  piston causing it to
bypass excessive  pump flow into the pump's suction line through a needle
orifice valve.  A needle orifice and a large diameter piston  were used in
this prototype system to ensure  stability of the valve in  the pulsating  flow of
the test cells large  triplex pump.  Much smaller sizes appear quite practical
even with a triplex pump.  An electric actuator  positions the spring carrier
(thus controlling  differential pressure) in response to closed loop position
control signals from a temperature trim circuit (Fig. 97).   In a system that
employs a  variable  displacement pump,  the differential  pressure could be
controlled  by regulating the displacement of the pump.  It should be noted
that the differential pressure regulator has no direct effect upon the  steam
pressure.   Differential pressure across the metering valve  is controlled
from 15  psi to 70  psi.  Valve design is established to make the differential
pressure controller insensitive to input pressure  requirements of the steam
generator.  However, its  operation becomes non-linear at pressures below
300  psia steam generator pressure.   The inlet pressure to the steam
generator is only  a  function of steam demand, firing rate and flow pressure
                                  122

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   1600



&  1400
ID
O

oc  1200
UJ
Q.

^  1000
       2   800
           600
       K   400
       UJ
       *-

           200
             0
                 RESULTS ACROSS 40 TO 1 RANGE
                                                     .»•
                                                    *•
              -rf
           *•
• TEST DATA

* BEST STATISTICAL FIT POINTS
                   i     i     i     i    i     I     i
              0  .100 .200 .300  .400 .500 .600 .700  .800

                      VALVE INPUT POSITION (INCHES)
FIGURE 95.  WATER METERING VALVE CALIBRATION AT 50 PSI

             DIFFERENTIAL
     FIGURE 96.  DIFFERENTIAL PRESSURE CONTROL VALVE

                  COMPONENTS
                                 123

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 FIGURE 97.  DIFFERENTIAL PRESSURE  CONTROL VALVE ASSEMBLED
               WITH ELECTRIC ACTUATOR
drop across the tube matrix.  Valve performance in the system was good
with no apparent instabilities.

8.3   ELECTRONIC CONTROLS

        The functional arrangement of the electronic system is shown in
Figure  81.  For all tests performed,  a breadboard system was  used.  It
consisted of two commercially available electronic controllers integrated
into a breadboard system to perform the necessary functions discussed
earlier in this  section.   A Barber-Colman Model 260T pressure controller
was used in the pressure controller block.  A Barber-Colman Model 523C
Digital  Temperature Setpoint controller was used in the block labeled as
temperature  controller.  Both of these units had adjustable proportional
bands and set points.  Each also had an integral compensation in the forward
control loop.  Summing  amplifiers,  actuator  position,  null setting position
feedback and signal conditioning circuits were breadboarded around these  two
components to  form the  complete  control system.  Most of the features
required in the commercial controllers are not necessary in an integrated
system. However, their wide  flexibility with respect to gain ranges and
control modes  makes their use  more effective in optimizing control functions
and gains.  After gains and control compensations were established an
integrated  electronic package was fabricated  to perform all of the functions
of the electronic portions shown in Figure 81.  Only four  circuit boards were
necessary  to obtain the necessary electronic  functions. Figure 98 shows the
arrangement of these components. Program time allowed some limited
bench testing of these circuits  but problems with temperature drift, com-
parator circuit operations, and thermocouple reference junction compensation
were  not worked out of these circuits.  As a consequence, no  complete systems
tests were performed using the actual circuits shown in Figure 98.  However,
they do show the relatively few number of components  necessary to perform
the electronic functions  necessary,  and they  do perform the same functions
of the  system breadboard successfully used to control  the steam generator.
                                    124

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  FIGURE  98.
ELECTRONIC COMPONENTS REQUIRED TO PERFORM
CONTROL FUNCTIONS
8.4  TEST RESULTS WITH PARALLEL FLOW STEAM GENERATOR

8.4. 1   Explanation of Test Results

       Initial control system tests were  performed with the combustor
discussed in Section  5 and the steam generator described in Section 6.   Test
cell components were essentially the same as described in Section 6.3.
Important transient control system data was  recorded on a high response
six channel Sanborn chart data system.   Figures 99,  100,  101  and 102 are
reproductions of the Sanborn strip chart  traces.  At the top outlet steam
pressure is recorded from a strain gage transucer connected several inches
from the outlet tube of the steam generator.  Each major ordinate division
is 0. 5  cm, scales are all based  on Sanborn calibrations.  Pressure is scaled
at 250  psia per cm.  Next trace  is the steam throttle position.   Steam flow
is controlled by the position of the throttle valve.  A  contoured needle
plunger allows the  throttle valve to control steam flow directly proportional
to valve position.   Throttle valve position (steam flow rate) is  the control
system "disturbance" for transient tests and also establishes steady state
flows.   Total system volume between the outlet of the steam generatorand
the throttle valve is 40 cubic inches.  Two linear position  transducers are
mounted on the throttle valve drive mechanism.  Output voltage from one
transducer supplies the main input to the electronic  control system.  This

-------
..jij_i..i_. 4-.ui4.J--L. L ..^.f-Li;
                                                                                1250
                                                                                1000
                                                                                "750       OUTLET PRESSURE
                                                                                500  PSIA 250 pSI/cM
                                                                                250
                                                                                          STEAM THROTTLE
                                                                                          POSITION 20% CM
                                                                                          TEMPERATURE ERROR
                                                                                          SIGNAL 1V/CM
FEED WATER FLOW
200 PPH/CM
                                                                                     1010
                                                                                     800
                                                                                     585
SUPER HEATER OUTLET
TEMPERATURE °F TYPE K
5 MV/CM
                                                                                          FUEL-AIR-WATER
                                                                                          METERING VALVES
                                                                                          POSITION 20%/CM
    T
     \
     TIME IN SECONDS PER MARK
                                               FIGURE 99.  STEAM GENERATOR CONTROL TRANSIENTS, STEP CHANGES
                                                          PRIOR TO INSTALLATION WITH 44 LB/IN SPRING IN AP VALVE
                                                                                127

-------
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                                                                                       1000
                                                                                       750      OUTLET PRESSURE
                                                                                       500 PSIA 250 PSI/CM
                                                                                       250
                                                                                                                   STEAM THROTTLE
                                                                                                                   POSITION 20% CM
                                                                                                                   TEMPERATURE ERROR
                                                                                                                   SIGNAL 1V/CM
                                                                                                                   FEED WATER FLOW
                                                                                                                   200 PPH/CM
                                                                                                              1010
                                                                                                              800  SUPER HEATER OUTLET
                                                                                                              585  TEMPERATURE °F TYPE K
                                                                                                                   5MV/CM
                                                                                                FUEL-AIR-WATER
                                                                                                METERING VALVES
                                                                                                POSITION 20%/CM
                                    \
                                    TIME IN SECONDS PER MARK
                                                                          FIGURE 100. LOW FREQUENCY 10 TO 30 PERCENT RAMP CYCLES AFTER
                                                                                     INSTALLATION OF HIGH GAIN AP VALVE
                                                                                                          129

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1000
750 OUTLET PRESSURE
500 PSIA 250 PSI/CM
250
0
100
80
60 D/ STEAM THROTTLE
40 POSITION 20% CM
20
0
5
3
TEMPERATURE ERROR
SIGNAL 1V/CM
-5
1000
800
600 FEED WATER FLOW
400 200 PPH/CM
200
o
1J.151010
?of 800 SUPER HEATER OUTLET
./ 585 TEMPERATURE °F TYPE K
^/b op 5 MV/CM
100
80 FUEL-AIR-WATER
6Jj % METERING VALVES
40 POSITION 20%/CM
6
                       7
TIME IN SECONDS PER MARK
                                                FIGURE 101.
FULL POWER STEADY STATE PERFORMANCE WITH STEP
TRANSIENTS IN STEAM FLOW
                                                                                 131

-------
                        i _ 1 __ 1_J _ I
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                                                                                        1250
                                                                                        1000
                                                                                        750       OUTLET PRESSURE
                                                                                        500  PSIA 250 PSI/CM
                                                                                        250
                                                                                                  STEAM THROTTLE
                                                                                                  POSITION 20% CM
                                                                                                  TEMPERATURE ERROR
                                                                                                  SIGNAL 1V/CM
FEED WATER FLOW
200 PPH/CM
                                                                                             1010
                                                                                             800  SUPER HEATER OUTLET
                                                                                             585  TEMPERATURE °F TYPE K
                                                                                             °F    5 MV/CM
                                                                                                  FUEL-AIR-WATER
                                                                                                  METERING VALVES
                                                                                                  POSITION 20%/CM
               TIME IN SECONDS PER MARK'
                                                         FIGURE 102.  HIGH AMPLITUDE AND MAXIMUM FREQUENCY STEAM
                                                                     FLOW CYCLING SYSTEM RESPONSE
                                                                                      133

-------
signal represents "steam flow input signal" to the basic open loop position
control circuit of the triple actuator  servo.  A feedback position transducer
on the triple valve actuator provides a nulling signal to the loop.  Its position
is recorded on the bottom trace with the ordinate labeled fuel-air-water
metering valve position 20 percent per cm.  As  it can be seen from these
three traces, pressure control is obtained by operation of the triple valve
actuator in response to an open loop  signal from the steam flow error signal
(second trace labled steam throttle position) and a closed loop pressure error
signal providing  a proportional trim  adjustment  of the triple valve actuators
position.

       Analysis  of the ramp steam flow change in the middle of Figure 99
will illustrate the basic pressure loop control sequence. Pressure prior to
the steam flow change was constant at an average value shown on the data
trace of 890 psia. For the controls development tests the normal setpoint
used for the pressure system was 900 psia.  A value lower than the design
value of 1000 psia was selected to prevent possible test disruptions from
overpressure safety circuit shutdowns  or relief  valve blowdowns.  Tempera-
ture setpoint for  controls experimentation was also reduced  slightly below
the design value  to 900°F to prevent possible damage in these highly develop-
mental phases of the program.  Neither of these changes is believed to have
had significant effects on the conclusions drawn  from the dynamic or steady
state  controls tests.  From the steady  state operation at 890 psia a ramp
disturbance in steam flow was introduced by opening the steam throttle.  At
a rate of approximately 5 percent per second the steam flow  was dropped
from  50 percent  to 32 percent in approximately four seconds. It should be
noted that the time scale is the bottom  line on the trace. Each space between
marks on this line is one second of time.  Portions of  this line that show  up
as a heavy solid  line indicate the chart speed was reduced to more than one
second per mm (each small division is one mm).  From the chart it is  seen
that as soon as the steam valve is moved (thus changing steam flow) the fuel-
air-water (triple valve actuator) follows with the same slope, 5  percent valve
movement per second.  A delay or dead time of  1. 5 seconds  in the steam
generator's pressure response can be seen in the top trace.  At 1. 5 seconds
from  the initiation of steam flow reduction a rise in steam pressure starts
its maximum overshoot in 6 seconds. At 1. 5 seconds  the closed loop pressure
error  signal adds to the open loop ramp function command and increases  the
slope of the triple valve actuator to 8. 5 degrees  per second.  A  maximum
overshoot to 950  psia produces a sufficient error signal to cause the triple
valve actuator to move to 10 percent  position.  Gains in the pressure loop were
adjusted to have  a 50 psia error  signal result in  a  50 percent trim correction
signal applied to  the triple actuator.  As pressure error is corrected, the
fuel-air-water metering valve proportionally follows and settles itself in
approximately 16 seconds to a zero error position of 20 percent with the
steam pressure stable at 890 psia.
                                   135

-------
       Three of the record traces in Fig. 99 were not discussed in the above
analysis of the response characteristics of the pressure loop.   These three
charts are basically associated with the steam temperature control loop.
Superheater outlet temperature measured immediately at the outlet of  the steam
generator is recorded on the second from bottom trace.  A type K thermocouple
with an Inconel sheath 0.06 inch in diameter inserted in  the steam flow is used
in this measurement.  It also provides a feedback signal to the  temperature
trim circuit.  A non-linear temperature scale (for type K thermocouple) is
superimposed on the mV data recorded from the temperature sensor.
Temperature error  (the difference between the setpoint and feedback signal)
is displayed in the third from top  trace.  It is  scaled as  1 V per cm and was
used to investigate control system characteristics.  Voltage recorded  on this
trace essentially duplicates the superheater outlet temperature variations
but multiplied by a gain factor. Feedwater flow is the last trace to be  dis-
cussed and is located fourth from the top.  It records the linearized output
from a turbine water flow meter located in the steam generator inlet water
line.   It is a high  response measurement system and the oscillations shown
in the  trace appear to be actual water flow.  Weight  calibrations of the tur-
bine flow meter with all conditions similar except no steam being generated
in the  unit do not show these oscillations.  Also during startups and shut-
downs, the high amplitude oscillations start and disappear with the beginning
and termination of boiling in the steam generator. In addition,  when the
high efficiency steam generator (described in  Section 7)  was installed,  the
amplitude of these oscillations were observed to be lower by a factor
between 2 to 5.  A 50 cubic inch displacement accumulator is installed
down stream of the pump to dampen pressure  oscillations.  Normal pump
speed  is approximately 120 rpm and being a triplex pump,  its output pressure
and flow oscillation  is normally 6 pulsations per second. Figure 99 shows a
flow oscillation an order of magnitude slower  (approximately 0. 5 per second).
The accumulator did an  effective job of damping out  the normal pump oscilla-
tions.   Below the  prechange pressure of 400 psia,  high amplitude pump
oscillations were  observed.  When the accumulator was  unseated at 400 psia
oscillations disappeared.  Water flow can be seen (Fig.  99) to follow the
triple  valve actuator position.  Temperature trim effects are difficult to
detect  in Figure 99 since temperature variations are relatively small.
Overall performance of the closed loop control system as shown in Figure 99
is a control band of ±50 psi about  a pressure setpoint and a band of ±40°F
about a setpoint.   These are well  within the goals of the  program and are
considered good since the transients are representative of normal driving
requirements.

8.4.2   Cycling and Step Transient Performance

       Figure  100 records the closed loop performance  with cycling and
steady state dwells.  Steam flow rate is the only external disturbance to the
                                  136

-------
system.   Output steam flow is manually varied by opening and closing the
steam throttle valve.  Steam  rate was  8 and 40 percent six times within
70 seconds in the center trace that produced the most severe excusions in
pressure and temperature. It should be noted the time base for Figure 100
is 1 mm per second.  Maximum pressure overshoot in these traces was
120 psi and 75°F above the  setpoint.  It should be noted that a mechanical
stop was reached on the main metering valve (shown by the saturation lines
at -2  percent valve position) during some  of the cycles.  At this condition
the pressure loop is saturated, thus causing an increase in pressure.
Because of introduction of auxiliary air swirler with fixed flow and the desire
to maintain a fixed air-fuel ratio, fuel  flow was 8 pounds per hour under this
condition.  As a consequence, the steam rate was actually less than the
controlled corresponding mechanically limited firing  rate.  This was a
significant contributor to the  pressure  overshoot at the low steam flows.

       Steady state control from 10 to  100 percent is recorded in Figure 101.
The time base on the left side of the trace was 0. 1 mm per second for steady
state  performance and 1.0 mm per second during cycling transient analysis.
Steam flow was stepped up from 18 to 100 percent in 5 to 10 percent incre-
ments. Steam flow was left constant for approximately 100 seconds to allow
the temperature and pressure controls settle.  Pressure remained within
a ±25 psi band around the setpoint during this calibration.  Temperature
control exhibited a positive offset in the steady state control of 100°F
between the setpoint at 10 percent and the controlled temperature at 100 per-
cent.   If the  set point were defined at the 50 percent flow condition,  a steady
state  temperature control accuracy of ±50°F could be assigned to the system.
This offset change as a function of load was typical of all testing performed.
It was apparently caused by the fact that the water metering cam had signifi-
cant steady state errors with  respect to the fuel metering cam profile. A
high proportional loop gain would eliminate this  mechanical error, however,
a relatively low gain was necessary to  prevent oscillations during transients.
Addition of integral mode control also gave significant improvements (some
results showed control within ±10°F), however,  it was also destablizing and
was only used at very low gains.

       Transient response  tests were performed by stepping the steam rates
from  high flows.  The feedwater flow meter was disconnected from the
Sanborn during these tests since a manual valve was required to connect two
different turbine flow meters  into the system to measure both high and low
flow ranges.  Flow was only passed through the large turbine meter to pre-
vent damage to the low flow unit.  As it is seen from the trace, the noise
output from the large meter is of high amplitude when the flow goes below
300 pph.   Step changes show the typical overshoot in pressure expected in
a test loop with low volume (40 cubic inches) between the steam generator
and throttle valve.  Upon closing the throttle steam flow drops almost
instantaneously. However, generation of  steam is still at original levels
                                  137

-------
until the fuel flow is dropped and energy distributions in the metal tube
matrix can be rebalanced.  As a result steam pressure rapidly rises causing
an error signal to trim the triple valve actuator to further reduce fuel flow.
A pressure overshoot of 150 psi above the 900 psia setpoint occurs when
rapidly  closing the  steam throttle from 85 to 20 percent.   The bottom trace
shows the overshoot to  saturation that occurs due to the high pressure signal
driving  the valve into its mechanical stop.  Exactly the opposite sequence of
events occur when the throttle valve is rapidly opened.  From Figure 101 the
magnitude of the  pressure drop is seen to be -150 psi before the control
system  restores  the output pressure to its new steady state valve.  From
the traces it is apparent that the pressure loop is highly damped with no
tendency to oscillate.

       An explanation of the major cause of the pressure  overshoot and under-
shoot can be seen in the transient cycles at the right of Figure 101.   The
throttle valve was opened and closed as fast as the screw  jack actuation mech-
anism would allow.  Throttle valve rates as high as 50 percent per second
were recorded.   The first five cycles the triple valve actuator speed was 15
percent per second (or  only about 30 percent as fast as the throttle valve).
A small increase in actuator velocity gain was made  in the last few cycles
by changing the drive motor output  speed from the control panel.   A small
but significant reduction in the magnitude of the pressure  overshoot resulted
by this gain change. It is theorized that the magnitude of  the pressure over-
shoot is associated with the lag between the rate at which  steam flow is changed
and the  corresponding response of the triple valve actuator.  As the actuator
velocity is increased, a better instantaneous match between output steam flow
and input firing rate is  achieved. Variation in temperature and pressure are
normal  and cannot be fully eliminated with a single control mode.  Water
level for steady state operation moves towards the inlet of the unit as steam
rate is decreased (see Appendix VII).  Thus a rapid closing of the throttle
valve  from high steam flow  conditions to low flow results  in the steam gener-
ator operating at a  low  power condition with a water level  higher than normal
steady state levels.  As a consequence, outlet steam temperature will be low-
er than  normal until the controls correct the situation.  The opposite sequence
occurs in going from low to high power rapidly.  Water levels with an increas-
ing power step transient are now lower than steady state thereby giving effec-
tively greater length to  the superheater.  As a consequence,  outlet steam
temperature  will increase until corrections to the closed loop temperature
control  system raise the water level back to the normal high power level.  It
should be noted that these corrections require many seconds since the changes
in water level are dependent on feedwater flow rates.  Another factor to be
noted  is that with a  fully modulated control the response time at low powers
is much lower since feedwater trim control rates are made proportionally
lower to allow stable operation.  As can be seen from the  temperature traces,
these  are inherent characteristics of the system with a single control mode
                                   138

-------
(f eedwater rate only).  These can be partially eliminated by use of a separate
trim control with an auxiliary water injection for desuperheating.  However,
the control is sufficiently accurate to not require the added complexity and
efficiency loss associated with desuperheating.

        Maximum possible steam flow cycling rates were imposed on the
system as a final proofing for the controls.  Operation of the steam throttle
was limited to the cycling rates  shown in Figure 102 by its manual screw
jack actuation fixture.  However, these cycles are considered more severe
than could be imposed by an automotive service.  Dwells at high and low
flows after a series of cycles were maintained until the controls stabilized
pressure and temperature.  From the performance trace it is seen that peak
to peak pressure excusions were at levels  of as high as ±200 psi with normal
peaks about  ±150 psi.  Temperature variations were less than ±100"F  about
a mean temperature line although they reached a peak of 150°F above the
nominal setpoint of 900°F.

        Evaluation of the transient  response characteristics of the fuel  and
air control systems performance was made during the high velocity cycling.
Each of the emissions was plotted by a strip chart recorder during the eight
high velocity steam flow transients in the center of Figure  102.  Figure 103
shows the results with zero time starting on the right hand side.  The
relatively constant emission line at the right of each figure is a record of
the emissions during the steady  state operation of the unit with the steam
throttle at 21 percent (see Fig. 102).  Eight cycles between 21 and 96 per-
cent steam throttle position follow. As was discussed in Section 5,  a cam
drive between the air valve and fuel valve schedules the air-fuel ratio
leaner at low powers.  This  is a programmed variation and is best analyzed
by reference  to the CO^ trace.  As  it is seen, the syncronization between
the air and fuel control system is relatively good.  The rounding off of the
minimum and maximum peaks is indicative that the CO2 cell cannot respond
rapidly enough to give an exact value of the instantaneous CC>2,  but it does
fall within the bounds normally expected for the steady  state values of CO?
at the extremes of the cycling.  It should be noted that the  variation in  CC>2
(air-fuel ratio) peak values follows  very closely the triple  valve actuator
position on the bottom trace  of Figure 102.  The first peak (left one on
Fig.  102 and right one  on Fig. 103) are both the highest with the fourth one
being the next highest.  This type of correlation indicates good syncroniza-
tion between air  and fuel flow controls.  Emissions are placed on Figure 103
in order of response  of (the particular analytical system.  NOX measure-
ments by chemiluminescent techniques (Appendix I) were the slowest and
are  shown at  the top of the figure.   As discussed in Section 5, decreasing
the air-fuel ratio (increasing CO?) causes an expected increase in NO with
a decrease in CO and HC. Corresponding data points are shown on the
curves with emission limits  shown in the table.  As it can  be  seen, only NO
is a problem during these severe transients.  However, its characteristics
                                   139

-------
                  70 PPM
                        75 PPM
                             9.0%
0-1000PPM
          —I   [~9
SEC.
                                          co2 8.0%
                                      J	L
                             3.5%
                           150 PPM
    0-15%
                                                   J	L
         9 SEC.
              J   U
                          20.0 PPM
                                         0-500 PPM RANGE     I    I
                                                    9 SEC.^    I—
Power
Level
(%)
90
20
C02
(%)
7.7
6.15
CO (ppm)
Actual
290
350
Limit
462
377
NO (ppm)
Actual
60
35
Limit
31
26
HC (ppm)
Actual
30
60
Limit
120
84
FIGURE 103.   TRANSIENT EMISSIONS DURING PEAK STEAM GENERATOR
                 CYCLING (See Fig.  102)
                                        140

-------
are very similar to the steady state situation in which the emissions are
borderline at low flows and exceed limits at high flows.   From this it is con-
cluded that the air-fuel ratio control is basically satisfactory and can main-
tain reasonably accurate  control of air-fuel ratios during severe and con-
tinuous transient operation.

8. 5  HIGH EFFICIENCY MONOTUBE  STEAM GENERATOR PERFORMANCE

       Initial tests with the monotube steam generator indicated slower than
expected response  characteristics.  Open loop tests were performed to
measure some of the characteristics.  A steady state condition was obtained
on the  steam generator with both temperature and pressure loops opened.
While at a steady state temperature and pressure the water flow was
manually increased by 50 percent for approximately 10 seconds.  Through
these step tests the triple valve and the throttle  valve were maintained at
fixed positions of 20 percent.  Figure 104 shows the results.  Temperature
had a 30 to 40 second  dead time before effects of the step change •were
observed.  Pressure responds in approximately 10 seconds.  A sinusoidal
open loop response test was  also performed (Fig. 105).  Both pressure and
temperature loops were opened.   A sine wave voltage signal was imposed on
the amplifier  controlling  the position of the differential pressure regulator.
Feedwater input to the steam generator follows the sinusoidal in phase.

       Output response of the steam generator is shown by the sinusoidal
disturbance to the outlet temperature.  Input frequency was set at 0.01 cycle
per second to cause a  sustained response from the steam generator. Note
that a high frequency input had no effect upon temperature.  The  amplitude
of the temperature response to the flow variation input was ±15°F.  A phase
lag of 135 degrees in the  temperature response was measured.  These  tests
and closed loop  transient response indicated the  need for a lead compensation
in the temperature control loop.   A derivative amplifier  operating the pro-
portional error  signal added anticipation into the circuit to  improve
performance and stability.  Figure 106 shows the improvements  made by
addition of rate  compensation in the fore ward temperature control loop. In
the center of the trace a step change in throttle position from 15  to 52 per-
cent shows a typical temperature  transient characteristic with a  relatively
low gain derivative circuit.  During the next step up in steam flow the
derivative circuit was removed leaving only a proportional amplifier in the
system.  As it is seen, the addition of  a relatively low gain derivative com-
pensator significantly  reduced the magnitude of the overshoot and reduced
the settling  time to approximately one half of the value in the uncompensated
characteristic.  Further  development optimization of this circuit was not
possible due to time schedules, but significant improvements seem likely.
                                  141

-------
       Figure 107 shows the response of the control system on the monotu.be
unit to high velocity cycling of the steam throttle.  As in the discussion of
the parallel flow unit,  the speed of response of the triple valve actuator is
not sufficient to prevent a large mismatch between steam flow rates and
firing rates. This factor combined with the low discharge  volume between
the steam generator and throttle valve produce the pressure oscillations  in
the output steam.  Higher response and a larger volume (test volume was
40 cubic inches in tubing to throttle valve) will reduce the magnitude of the
pressure excusions.  Temperature responded  in a similar  manner to the
parallel flow with the inherent water level mismatch between high and low
flow  contributing to temperature fluxuations.  Response to  step changes in
throttle valve position are shown by Figure 108.   Good pressure loop
characteristics are shown in these results but a tendency to oscillate in the
temperature loop.  It should be noted that some experiments with integral
compensation were being performed in this test sequence causing greater
tendencies to oscillate.
                                   142

-------
1
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500  PSIA  250 PSI/CM
250
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                                           \
                                                                                                         FEED WATER FLOW
                                                                                                         200 PPH/CM
                                                                                                   1010
                                                                                                   800   SUPER HEATER OUTLET
                                                                                                   585   TEMPERATURE °F TYPE K
                                                                                                   op    5MV/CM
                                                                                                        FUEL-AIR-WATER
                                                                                                        METERING VALVES
                                                                                                        POSITION 20%/CM
                                 TIME IN SECONDS PER MARK
                                                       FIGURE 104.  OPEN LOOP CHARACTERISTICS TO STEP INPUTS IN WATER RATE
                                                                                              143

-------
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                                                                                 STEAM THROTTLE

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                                                                                 TEMPERATURE ERROR

                                                                                 SIGNAL 1V/CM
                                                                                 FEED WATER FLOW

                                                                                 200 PPH/CM
                                                                            800  SUPER HEATER OUTLET
                                                                            585  TEMPERATURE °F TYPE K
                                                                            OF   5 MV/CM
                                                                                 FUEL-AIR-WATER

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                                    FIGURE 106. CLOSED LOOP TRANSIENT RESPONSE WITH AND

                                                WITHOUT DERIVATIVE COMPENSATION
                                                                 147

-------
                                                                   1250
                                                                   1000
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                                                                   500  PSIA 250 PSI/CM
                                                                   250
                                                                   0
                                                                            STEAM THROTTLE
                                                                            POSITION 20% CM
                                                                            TEMPERATURE ERROR
                                                                            SIGNAL 1V/CM
                                                                            FEED WATER FLOW
                                                                            200 PPH/CM
TIME IN SECONDS PER MARK
                                                                  - 695 800  SUPER HEATER OUTLET
                                                                  ~"     585  TEMPERATURE °F TYPE K
                                                                   ^   °F   5 MV/CM
                                                                            FUEL-AIR-WATER
                                                                       %    METERING VALVES
                                                                            POSITION 20%/CM
FIGURE 107. HIGH FREQUENCY CYCLING
                                                                149

-------
                                                                                    OUTLET
                                                                                    PRESSURE
                                                                                    250 PSI/CM
                                                                                    STEAM THROTTLE
                                                                                    POSITION 20% CM
                                                                              1010
                                                                              800
                                                                              585
                                                                                   TEMPERATURE
                                                                                   ERROR
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OUTLET
TEMPERATURE
°F TYPE K
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                                                                                   FUEL-AIR-WATER
                                                                                   METERING VALVES
                                                                                   POSITION 20%/CM
         \
TIME IN SECONDS PER MARK
                                        FIGURE 108.  RESPONSE TO STEP CHANGES IN STEAM FLOW
                                                                151

-------
                                  9
                          ORGANIC SYSTEMS
       To provide a possible backup system for the EPA contractors,  two
organic systems were designed.  A Fluorinol-85 system was designed to fit
within the packaging constraints of TECO's power plant.  AEF-78 was used
in the second unit integrated into Aerojet's vehicle constraints.  Vapor
generator core analysis,  combustor design modifications, and detail designs
of the steam generators were completed in this portion of the program.
Geoscience  Limited performed the core analysis for the organic systems
(see Appendix VIII).  No parts of the system were assembled,  only  critical
long lead time tubing for the core matrix was procured.

9. 1   FLUORINOL-85 SYSTEM DESIGN

       The  general flow arrangement for the vapor generator  is shown in
the schematic below:

                                      Superheated Vapor
Gas Out
-^

]
i
Preheater
r-*--i
i




r-—J
4
Superheater
1
^Saturated V
''4 -^

ape
Vaporize:
r-«— i
i
•


i
Gas In
-^

         Liquid In
Saturated Liquid
As  shown, the working fluid flow arrangement is counterflow in the pre-
heater and the superheater, but is parallel flow in the vaporizer.  The
superheater is located between the vaporizer and the preheater.  This
arrangement requires a larger heat transfer area to achieve a given
efficiency than a pure counterflow arrangement,  but it makes  the problem
of preventing  overheating of the superheater tube walls much more tractable.
                                   153

-------
O 1
/ • * I
    i  r»«
Design Constraints
       The design constraints for this unit were as follows:

                               F-85 Side
           Flow
           Pressure Drop
           Outlet pressure
           Inlet temperature
           Outlet temperature
           Heat transfer rate to organic
                               Gas Side
           Air-fuel ratio
           Flow
           Pressure drop
           Outlet pressure
           Inlet temperature
           Efficiency

           Outlet temperature
                                   10,000 Ibm/hr
                                   130 psia maximum
                                   700 psia
                                   287°F (at max. power)
                                   550°F
                                   2.25  x 106 BTU/hr  (reference)
                                   25:1 (JP-5 fuel)
                                   3740 Ibm/hr
                                   3.0" H2O
                                   atmospheric
                                   2500°F (mean) ±250°F
                                   81% based on HHV
                                   86.5% based on LHV
                                   427°F  (reference)
(reference)
       Maximum tube wall temperature was restricted to 575°F.  Maximum
temperature for all other parts of the core was to be consistent with structural
requirements for the materials used.  Maximum temperatures were to be
based on the assumptions that the gas side inlet temperature is  2750°F,  and
the velocity at the gas side inlet plane of the vapor generator is 10 percent
above the design value.

       The vaporizer unit maximum outer dimensions were to be 15 inches
width by 25 inches length by 8 inches core depth.

9. 1.2   Core

       The preheater consists of 10 rows of 45 tubes  each.  The tubes are
1/4 inch OD by 0.020 wall thickness, and are made of  low carbon steel.   The
tubes centers have their  longitudinal and transverse spacing equal to 1.25
tube diameters, or 5/16  inch.  The tube  rows are staggered,  as shown in
the sketch below.                         5/32"
                           O    © JO
                       ©00
                      -H  5/16" h	
                                             i
                                           5/16"
                                             T
                                 154

-------
All tubes,  in preheater, vaporizer, and superheater, are 22 inches long,
leaving approximately 1-1/2 inches on each end for headers and manifolds.
The total outside area of the preheater tubes is 53.9
       The vaporizer consists of 2 rows of 21 tubes each.   The tubes are
1/2 inch OD by 0.030 wall thickness, with 16 internal longitudinal fins 0.030
inch thick by 0.056 inch high.  The tube rows are staggered, as in the pre-
heater.  The longitudinal and transverse spacings of the tube centers are the
same, at 0.675 inch.  The tubes are made of low carbon steel.  Low carbon
steel was chosen as the tube material for three reasons: it improves the
heat transfer characteristics of the  internal fins, it is possible to
fabricate in the internally finned configuration required, and it is  amply
strong at the low tube wall temperatures required.  The internal fins were
necessary  in order to keep the tube  wall temperatures below the specified
575°F maximum.  As an additional measure to prevent tube wall overheating,
the tubes are protected by a  0.010 inch  radial thickness air gap, formed by
placing a 0. 530 inch OD by 0.005 inch wall thickness AISI type 310 stainless
steel tube concentric with the internally finned tube.

       The superheater uses three rows of 21 tubes each.   The tube spacing,
tube material,  and internal fin arrangement are the same as for the vaporizer.
The superheater  tube walls are protected from overheating by a 0.020  inch
air gap,  formed by placing a 0. 550 inch OD by 0.005 inch wall thickness AISI
type 321  stainless steel tube  concentric  with the internally  finned tube.  The
gas side  heat transfer area in the vaporizer and superheater, based on the
outside area of the 1/2 inch OD tubes, is 25.4 ft .

       The working fluid side pressure  drop is estimated as 89 psi. This
includes  an allowance for pressure drop in the manifolding.  The gas side
pressure drop is estimated to be 4.3 inches of water.  It appears that the
working  fluid side pressure drop will be well within 130 psi maximum
allowable,  while  the gas side pressure drop will be in excess of the 3.0
inches of water initially specified.

9.1.3 Manifolds

       The manifolds are subject to several conflicting requirements.   They
must fit  within the required  envelope, they must be able to withstand the
temperatures and pressures  to which they will be subjected, and they must
direct the flow in the manner required by the core design.

       The flow arrangement must satisfy the conflicting requirements that
the working fluid velocities be high enough to prevent overheating of the tube
walls, but  low enough to prevent excessive pressure drop on the working
fluid  side.
                                   155

-------
       For the first eight rows of its passage through the preheater, the
working fluid flows in parallel through the 45 tubes of each row.  At the end
of each of these rows it passes through a simple return bend manifold,  which
directs it through the next  succeeding row.

       For the last two rows of the preheater, local gas  temperatures  are
high enough so that liquid flow velocities must be increased in order to pre-
vent overheating of the tube walls.  The flow is  redirected so that it passes
through only fifteen tubes in parallel, and  each tube row consists of three
liquid flow passes.

       To accomplish the change from  45  to 15  flow tubes in parallel, a
simple reducing flow manifold is  used.  Groups of three adjacent tubes are
manifolded across each other and then up to single tube in the next row.
Within the row simple return bends then connect each subsequent tube to
provide the  15 parallel flow tubes in rows  8, 9,  and 10.  From  10 the fifteen
parallel passages must be  connected to the seven parallel flow passages in
the vaporization section.  The flow from the 15  tubes on the preheater outlet
is connected by 6 passages to a common header that feeds the seven vaporiza-
tion tube inlets.  Experience from the test bed system assisted in the
decision to place the seven flow restrictors at this point in the manifolding.
Liquid phase flow is ensured at this position and thus controllable pressure
drops are more likely than the inlet to the superheater (as  in the  test bed
system).

       There is no collector manifold at the vaporizer outlet. Instead, the
flow is carried in seven parallel passages to seven tubes  of the first row of
the superheater. (The "first" row is here defined as the  first row through
which the fluid passes, which here is the row with the coolest local gas
temperatures.)  The superheater flow is then in seven parallel passages with
three passes in each tube row,  just as in the vaporizer.  As in the vaporizer,
this flow is maintained by a complex system of simple return bends.

       A collector manifold is provided at the superheater outlet, from which
the working fluid is carried to the expander.

9. 1.4  Combustor and Air Valve Design

       In order to package within the engine compartment of the TECO
power plant,  it was necessary to  redesign the combustor  and air valve to fit
within a 20 inch diameter envelope.  A  rectangular 15 by  25 inch vapor  gener-
ator was also the largest frontal area unit that could be coupled to the 20
inch diameter combustor.  Figure 109,  110 and 111 are envelope  layouts of
the front, side and top view compared to the TECO vapor generator out-
line drawing.  Basic to the approach taken is the goal of obtaining the largest
possible  diameter for the combustor combined with the largest frontal area
                                  156

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r
L FAN^^
1 MOTOR

\
\
1 uniA IML ET\ '•
\r
"TECO"^""""^
COMBUSTOR- >
VAPOR
GENERATOR
AIR INLET JjpjU FAN
, : , .. } C.
	 .JiiiiiiS----.:.. -.- . 	 ^Y' ' 1
•y r.-k-£N^-T1_J-r
-i ' o n1 ! ni A ' .
I c. U Ul A i
/ VAPOR V
// GENERATOR \
n^:-.4_./T:"^v "-•--••" -
	 ;_ _- 	 y 	 	 "_;_• 7t~. 	
,-.-. ,...-.--*..± 	 V- 	 	 -
--"- -"- _.._-. ..^us^g^j^ssr-— =, . 	 _^
! _=^. 	 -/ 	 piF=frr. ..-.....,-
/' 05 QM
( 1

. .. . ^
AIR-FUEL
~ V VALVE
i ACTUATOR
• t
; -

- r/NoUTLET
1 /
ILL/ 	 L
/
t
 OUTLINE
'^	
FIGURE 109.  FLUORINOL-85 COMBUSTOR/VAPOR GENERATOR
            (FRONT VIEW)
  r
                    TECO COMBUSTOR-VAPOR
                    GENERATOR OUTLINE
                          25.0
                                                   J
FIGURE 110.  FLUORINOL-85 COMBUSTOR/VAPOR GENERATOR
            (TOP VIEW)
                          157

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                                                          FAN MOTOR
    "TECO"COMBUSTOR-VAPOR
    GENERATOR OUTLINE

   FIGURE 111. FLUORINOL-85 COMBUSTOR/VAPOR GENERATOR
                 (SIDE VIEW)

vapor generator. Symmetrical aerodynamic flow between the combustor and
vapor generator with a minimum area transition are design features incor-
porated to minimize emissions and provide uniform stable air flow.  The
basic configuration and design approach for the  air supply, air metering,
atomization and combustion subsystems is the same as tested on the "test
bed system" (See Section 5). Air enters at the fan inlet coaxially mounted
to the combustor and fuel atomization rotating cup. A symmetrical air valve
having 20 ports  (10 each for primary and  secondary air) controls the air flow
circumferentially and axially into the combustor.  Immediately before  enter-
ing the primary zone, combustion air is caused to swirl by ten swirl vanes.
A 28 volt DC motor is mounted at any circumferential position around  the
combustor  to assist in packaging or installation. A second electric motor
drives the air valve positioning gear to control air  and fuel flow into the
combustor.  In a similar fashion to the fan drive motor the rotary fuel air-
valve actuator can be placed in any circumferential position around the com-
bustor to assist with envelope or reduce condenser fan air blockage.
As shown both the fan motor and fuel-air valve actuator would be at the rear
of the package thereby reducing their effects on condenser fan air blockage.
                                  158

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Air Metering Valve Design

       Because of space limitations with a 20 inch diameter combustor,  it
was not possible to design a linear air valve.  Although several advantages
are available with a linear design, one of the most important is a relatively
low sensitivity to leakage at the 40 to 1 turndown flow point.  The close-off
height of the ports  in this valve have been made as small as possible to help
reduce sensitivity at the  low flows.   Thus a given angular displacement will
produce a relatively small flow change.  Since equal flow is essential through
each port,  this feature is of key importance in the valve's design.

       The design parameters are:

          • Fan diffuser  section remains uninterrupted up to 13.5 inch
            diameter

          • 11.3 inches water pressure is available at fan discharge

          • Combined combustor/vapor generator pressure drop (excluding
            metering orifice) is equal to 9.3 inches of water

          • The range 0-56.7% full flow is  comprised of primary flow only
            and primary flow remains constant at 56.7% of full flow at
            56.7-100% power setting

          • Coefficient of discharge is assumed 0. 5 for the  entire range

          • Full air flow is to be 3740 Ib/hr

          • At  100% flow, 43% of the air flows through the secondary ports

From these constraints the following was decided upon:

          • Primary port height should remain constant for 0-56.7 full flow
            with the exception of the  low end of this range which was modified
            for more sensitivity

          • Secondary port height was made constant in the  56.7-100% full
            flow range

          • Primary port should gain increments of area  in the 56.7-100%
            range to compensate for  combustor pressure  loss

          • Primary port will not close at leading side in range of 56.7-
            100% flow
                                   159

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          • Ten sets of metering ports will be used

          • Primary 0-56. 7% shall include a travel of 7 degrees and
           secondary (56.7-100%) valve rotation of  10 degrees

Sample Calculation

       The port shape is obtained by an incremental flow area analysis that
proportions  secondary and primary flow with corresponding pressure drops
across air valve and combustor /vapor generator pressure drops.

          • Area  sizing of 65.6 percent power setting

          • Pressure across metering orifice is

                                       2
                 AP   =  11.3-9.3  li^6-   = 7.3 inches water
                                   100

          • Secondary flow is to be:


                              162° lb/hr  =  (0'20) 162° lb/hr
                                         =  5.4 Ib/min

The following flow relationship is used in area calculation

           Wa = 7.617 KAm v/r(P1 - PZ)                            (66)

where
           Am =  in  (area of orifice)
              y =  lb/ft3 (density at standard conditions)
            Wa =  Ibs/min
            AP =  inch of H2O
              K =  coefficient of discharge

                   _ Wa            _  _ 5.4 _
           Ams  = 7.617 K/X(P   - P)  ~  7.617(0.5)  9-076x7.3
                 =  1. 94 sq. inch

 Flow area for each of the secondary ports is 0. 194 in2 in the 65.6 percent
 valve position.  At 65.6 percent port height, hg,  of secondary is  1.125 inch
 and thus to opening width is 0.172 inch.  The corresponding height of the
 primary port is therefore equal to hs(Rs/Rp)(Amp/Ams) =  1. 125  x (9.313/
 8.00)(0.072/0. 19) where Am  is incremental area to be added to  existing
 primary area to maintain 35.4 Ib/min flow.  This is  determined through
 equation (66) .
                                  160

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       R  and R  are effective radii of secondary and primary port areas
respectively.

       The air metering port configuration determined through this method
is shown in Figure 112.  The valve is positioned at 56.7 percent full flow.

Exhaust  Gas Duct
       Since the Solar unit fires down, while the TECO unit fires upward,  it
was necessary to do some preliminary design work to ensure that Solar's
exhaust ducting would be compatible with envelope constraints imposed by
the engine compartment and by other components  in the system. One of the
most  severe of these restraints is imposed by the number two cross member,
just aft of the vapor generator,  and the system components just above it.  It
appears that the most convenient and acceptable location for the exhaust duct
to pass aft is through the  shear  web of this cross  member.
       A preliminary calculation was made to determine if it would be
possible to turn the exhaust flow aft in the space available between the
vaporizer core outlet and the number two cross member.  In addition to
space constraints, the exhaust duct must satisfy the requirements that it
produces low pressure losses and causes no serious gas flow maldistributions
in the vaporizer core.
               BACKUP PLATE
                 OPENING
                          SECONDARY
                           PORTS
       PRIMARY
        PORTS
  FIGURE 112.
                CENTER OF
                COMBUSTOR
FLUORINOL-85 SYSTEM AIR METERING VALVE SHOWN
IN 56. 7 PERCENT POSITION
                                   161

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       It was found that the maximum dynamic head to which the flow could be
accelerated without a danger of flow maldistribution in the core was 0.43 in.
H^O.   This  corresponds to a duct area of 45. 1 in , or 22  in x 2.05 in inside
dimensions.  It appears that a  duct of these dimensions could  easily pass
through the  shear web of the number  two cross member.  The minimum bend
dimensions  necessary for such a duct to achieve low losses are shown below:
                                15 in.
      Core outlet face—*
The duct is a constant,  22 in wide.  It is seen that, because of the accelerating
flow,  very little turning space is required in order to achieve low losses.

9.2  AEF-78 SYSTEM  DESIGN

       Aerojet's engine compartment envelope constraints allow the use of a
combustor configuration of 26 inches outside diameter.  Operation of the test
bed system's combustor at fuel flows up to 140 pph indicated the unit was
adequate for the 135 pph fuel flow required by Aerojet's AEF-78 combustor
and air supply control system.  Figures 113,  114 and 115 show the integration
of the 23 inch combustion system with the  rectangular vapor generator.  A
simple aerodynamic flow  system has been emphasized with a minimum of flow
area changes and no bends or turns in the  combustor or vapor generator.  As
in all of the designs,  aerodynamic symmetry is emphasized to the greatest
extent possible,  while using the  largest possible face area for the vapor
generator.

       Solar completed a detailed design of the  heat exchanger incorporating
a core matrix established through a subcontract to Geoscience Ltd (see
Appendix VIII).  The heat exchanger tube arrangement is a simple cross coun-
ter flow with all plain tubes on the gas side (no insulation or extended surfaces
are used).  From inlet  to outlet  the matrix consists  of seven rows of plain
0.25 inch diameter, 0.02  inch wall, carbon steel tubes.  These tubes are
arranged in a staggered array with an axial and transverse pitch of 1.25 times
the diameter of the tube.  Sixty tubes are in each row for a total of 420,
quarter inch tubes.  All tubes in each row are manifolded together by simple
return bends to provide sixty parallel flow passages.  The remainder of the
matrix consists  of four  rows  of internally finned 0. 5 diameter tubes,  30 to a
row.  Each row  is manifolded in a manner to provide three sets  of ten
                                   162

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                     AIR INLET
FAN
1"DIA INLET
                                                         \-
                                     "AEROJET" COMBUSTOR-VAPOR
                                     GENERATOR OUTLINE

  FIGURE 113. AEF-78 COMBUSTOR/VAPOR GENERATOR (FRONT VIEW)
                                          "AEROJET"
                                          COMBUSTOR-VAPOR
                                          GENERATOR OUTLINE
                            26.4"-

 FIGURE 114. AEF-78 COMBUSTOR/VAPOR GENERATOR (TOP VIEW)
                               163

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                       IIP   L
                                    23"DIA—
"AEROJET"
COMBUSTOR-VAPOR
GENERATOR OUTLINE
 FIGURE 115.  AEF-78 COMB US TOR/VAPOR GENERATOR (SIDE VIEW)
parallel flow paths per row.  Fins on the inside of the tubes are straight and
parallel to the axis.  Sixteen fins are equally spaced inside the tube.  Fin
height is 0.056 inch by 0.03 inch thick.  These fins and the higher velocity
fluid flow ensure that the tube wall temperature at the outlet row (adjacent
to the combustor) will not exceed 720°F. Other characteristics of the unit
are:
                            AEF-78  Side
           Flow
           Outlet pressure
           Pressure drop
           Inlet temperature
           Outlet temperature
           Heat transferred to AEF-78
           Efficiency (based on LHV)
                              Gas Side
           Outlet temperature
           Flow
           Pressure drop
           Inlet temperature
19,300 Ib/hr
1000 psi
20 psi
396°F
650°F
2.02 x 106 BTU/hr
82.2%
550°F
3500 Ib/hr
2. 9 inches of water
2500°F
                                 164

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9.3  INTERNALLY FINNED TUBING

       The French Tube Division of Noranda Metal Industries has produced
samples  of internally finned tubing which appear to be satisfactory.  These
tubes are necessary in the design of the Fluorinol-85 and AEF-78 unit.
These tubes required a special fabrication development effort since they are
unique in design.

       Tubing samples were examined under magnification.  Some small
cracks were found, but they did not appear  severe enough to affect either
the rupture strength or the  low cycle fatigue life of the tubing.  Photographs
of some  of the worst cracks are shown under 50X and 500X magnification
in Figures 116 and 117.

       Three samples of the internally finned tubing were heated to 900°F
for 10 minutes and then quenched  in water repeatedly for a total of 18 cycles,
then pressurized at room temperature until they burst.  The  bursting
pressures were  8, 000 psi for two of the samples,  and 7, 500 psi for the third.
Based on nominal wall thickness and typical room temperature properties
for low carbon steel, the samples should have burst at 7, 020 psi.  All
samples  showed considerable gross yielding before they burst.
                  FIGURE 116.  TUBE CROSS SECTION
                                  165

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                                            A.
                                            Magnification:  SOX
                                            Etchant:  Nital
     '+

-.

                                            B.

                                            Magnification:  500X
                                            Etchant:  Nital
        FIGURE 117.  PHOTOMICROGRAPHS OF TUBE-FIN WALL
                       (page 1 of 2)
                                    166

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'
                                              c.

                                              Magnification:  500X
                                              Etchant:  Nital
                                             D.

                                             Magnification:  SOX
                                             Etchant:  Nital
        FIGURE 117.   PHOTOMICROGRAPHS OF TUBE-FIN WALL
                       (page 2 of 2)
                                    167

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                                 1O
                              SYSTEM NOISE
         Table IX lists overall dB(A)* noise levels of the Rankine system
with various components operational and different power  settings.  The data
was  taken in an enclosed test cell with equipment positioned as shown in
Figure 118.

         An estimation of semi-free field levels can be made by assuming the
room to be constructed with 100 percent absorbing material on all •walls and
ceiling (but not floor) and use of the following equation:
                                                  a2
             Noise Level Reduction (db)  =  101og._	  (Ref. 16)
                                                1U a -I


where a, is the actual composite room absorption coefficient given by

                   N
                   5- _  (% area x absorption coefficient)
                 _  K. — 1                                 K
              1            Total Room Surface Area

where there are N types of surfaces in the actual test room and a^ is the
composite  room absorption coefficient assuming  100 percent absorbing
material on all surfaces except the floor.  This is determined by a similar
expression as used for ai .

         From dimensions and  surface materials given in Figure 118, a,  is
found to be 0. 0362 and a?, 0. 812.  Then the correction factor becomes:

             10 Iog10 22.43  =  13.5 dB

The  resultant dB(A) values are also given in Table IX.
* USA Standard for Sound-Level Meters, SI. 4,  1961,
                                   169

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                                TABLE IX
           OVERALL "A" SCALE WEIGHED SOUND LEVEL FOR
             STEAM GENERATOR SYSTEM AND COMPONENTS




Operational
Components
Water Pump
(Outlet pressure
600 psi)
Fan
Water Pump, Fan
/*"* 1~ 4- ~1
Steam Generator











Percent
Air
Valve
Setting

-

30
20

20



50
50



77



Fan
Speed
(rpm)

0

5700
5780

5780



5500
5500



5300



Steam
Flow
(Ib/hr)

-

-
380

steam
gener-
ator
flooded
780
steam
gener-
ator
flooded
1200



Steam
Pressure
(psig)

-

-
900

-



900
400



900


Actual
Noise
Level
[dB(A)]

88

92
96

94



101
96



108
Approximate
"Semi-Free
Field" Cor-
rected Noise
Level
[dB(A)]

75

79
83

81



88
83



95
         In order to extrapolate these sound measurements to that expected at
50 feet,  six decibels should be substracted for each doubling of distance from
actual microphone position.  However,  this rule applies only if the position
was in the "far field" from the sound source.  The semi-reverberent surround-
ings used in this test do not allow for determination of a far-field reference
required in this sort of correction.  All that can be said is that the 50-foot
level  could be less  than indicated in the "semi-free field" column of Table IX.
Installation in an engine compartment with normal noise suppression and
treatment would produce further significant reductions of noise.

         A sound level versus frequence trace (1/10 octave bandwidth) was
 made for each of the conditions listed in Table  DC.  They are shown in Fig-
 ures  119 through 125.  All of these figures use the dB(A)  frequency weight-
 ing.
                                   170

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                        H—6 FT. 10 IN.—I
              26 FT. 9 IN.
                                                        4 FT.
                                     FAN,
                                     COMBUSTOR,
                                     BOILER
                             PLASTER CEILING X^.

                             CONCRETE FLOOR Xa.0175
                                  PLAN VIEW

                                 —12 FT.—
-1 FT.
 PAINTED
 -BLOCK
 BRICK
 ys.0173
                                                       CEILING AREA
                                                       -WITH
                                                       ACOUSTIC-CELOTEX
                                                       1 IN.  THICK
                                                       7=0.57
                 7 FT.
                         '4 MICROPHONE
                                  END VIEW

FIGURE 118.  NOISE  EMISSION MICROPHONE  LOCATION IN TEST CELL
                                       171

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100
  25 30   40  50 60 7080 100    150   200 250300  400  500600  800 1000   1500  2000250030004000   6000  10,000
                                            FREQUENCY   CPS

FIGURE 119.  SOUND LEVEL, dB(A), VERSUS 1/10 OCTAVE FREQUENCY, WATER PUMP
                ONLY - 600 PSI OUTLET PRESSURE - 88 dB(A)  OVERALL

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             •100
-J
OJ
               25 30   40  50 60 70 80  100
150   200 250300  400 500600   800 1000   1500  2000250030004000   6000  10,000


             FREQUENCY  CPS
             FIGURE 120.   SOUND LEVEL, dB(A), VERSUS 1/10 OCTAVE FREQUENCY FAN ONLY -

                              5700 RPM -  30 PERCENT, 92 dB(A) OVERALL

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100
 30
  25  30   40  50 607080  100    150  200 250300  400 500600  8001000    1500 2000250030004000   6000  10,000

                                           FREQUENCY   CPS
 FIGURE 121.  SOUND LEVEL,  dB(A), VERSUS 1/10 OCTAVE BAND FREQUENCY.  FULL
                SYSTEM,   20 PERCENT  FAN, 380 LB/HR STEAM, 96 dB(A) OVERALL
                (BACKGROUND INCLUDED)

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    Water pump  only
25 30    40  50 607080  100     150  200 250300  400 500600   8001000    1500 2000250030004000   6000   10,000
                                         FREQUENCY  CPS
 FIGURE 122.  SOUND LEVEL, dB(A), VERSUS 1/10 OCTAVE FREQUENCY.  FULL
                SYSTEM, 20 PERCENT FAN, BOILER FLOODED, 94 dB(A) OVERALL
                (BACKGROUND INCLUDED)

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100
  25 30   .40  50 60 70 80  100
150  200 250300  400 500600  8001000   1500  2000250030004000   6000   10,000

            FREQUENCY  CPS
   FIGURE 123.  SOUND LEVEL, dB(A),  VERSUS 1/10 OCTAVE FREQUENCY.  FULL
                  SYSTEM, 50 PERCENT AIR VALVE, 780 LB/HR STEAM,  101 dB(A)
                  OVERALL (BACKGROUND INCLUDED)

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 100
CD
       Water pump only
   25 30   40  50  60 7080  100
150   200 250300  400 500600  8001000    1500  2000250030004000    6000  10,000

             FREQUENCY   CPS
    FIGURE  124.  SOUND LEVEL,  dB(A),  VERSUS 1/10  OCTAVE FREQUENCY.   FULL SYSTEM
                    50 PERCENT FAN, BOILER FLOODED,  96 dB(A)  OVERALL (BACKGROUND
                    INCLUDED)

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            100
00
                   Water pump only
             30
              25 30   40  50 60 70 80  100
150  200 250300  400 500600   800 1000

            FREQUENCY  CPS
1500 2000250030004000   6000   10,000
              FIGURE  125.  SOUND LEVEL,  dB(A), VERSUS 1/10 OCTAVE FREQUENCY.   FULL SYSTEM,
                              77 PERCENT FAN, 1200 LB/HR STEAM, 108 dB(A) OVERALL (BACKGROUND
                              INCLUDED)

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        The fan and its drive motor appear to be a dominant noise  source
only at the 20 percent air valve setting and no steam (frequency =  2200 cps).
The water pump is sufficiently low in noise level that it contributes no more
than 1. 1 decibel to any of the full system measurements.  The maximum
levels are due to changing from flooded to steam flow operation.  This noise
is very broad-band with no specific peaks and occurs between 2,000 and
10,000 cps.  Noise contributions  during  steam flow operation included throttle
valve sonic flow and high velocity venting into the test cell light gage metal
exhaust ducting. Elimination  of this noise source would lower maximum
system power noise by approximately  16 db.  By flooding  the steam generator
at a fixed firing  rate the noise contribution of the sonic flow throttle valve
could be eliminated.   In an automotive system,  a throttle  valve would not
normally be used, and thus this contribution would be reduced.  For normal
driving power  the noise from the  unit would be estimated to be 81  dB(A)
based on a free field correction.  Installation in a properly treated enclosed
engine  compartment would significantly reduce  this level in a vehicle.
                                   179

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APPENDIX I
    181

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                                APPENDIX I

          EMISSIONS SAMPLING EQUIPMENT AND DATA REDUCTION
        The emissions analysis is based principally on four pieces of equipment;
namely, the Beckman Nondispersive Infrared Analyzer Model 315A for the analysis
of CO2, CO and NO; the Beckman Flame lonization Detector Model 402 for the analysis
of unburnt hydrocarbons, the Thermo Electron Company Chemiluminescent Detector
Model  10A  for NOX and a Von Brand Smokemeter in conjunction with a Photovolt
Model  610 reflectometer for participates (smoke).

        A  schematic of the equipment is shown in Figure 197.

1. The Nondispersive Infrared (NDIR) Analyzer

        The Beckman NDIR Analyzer Model 315A shown in Figure 198 consists of a
group of three separate instruments for the analysis of CO, CO£ and NO in parallel
through which the sample flows concurrently.

        Each of the instruments consists of a reference cell, which is mechanically
chopped to  a frequency of 10 Hz and directed into the cells.  At the bottom of the cells
is a detecting chamber subdivided into two separate sections by a moveable metal
diaphragm. Both sides of the detecting chamber are fitted with the gaseous constituent
to be measured.

        Asa result of the absorption of the infrared radiation in the sample cell,
more radiation reaches the reference side of the detecting chamber than on the sample
side hence  the gas in the reference chamber expands and distends  the diaphragm.
Positioned  next to the diaphragm is a stationary metal button which,  together with the
diaphragm, constitutes a variable capacitor.

        When the chopper blocks the radiant beam, the gas cools  and the diaphragm
returns to the neutral position.  Thus the detector emits a variable capacitive signal,
which is superimposed on a high frequency carrier wave. This latter wave is then
modulated,  rectified,  and filtered to remove the radio frequency.  After the signal is
amplified,  it is again modulated, rectified and filtered.  A DC signal results,  which
is directly  proportional to the concentration of the gas to be analyzed in the sample.
In this fashion, each of the three components, namely CO2» CO and NO is analyzed
                                      183

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                                    .-HYDROCARRON ANALYZER.
COMBUSTOR
 EXHAUST
                                                           AIR IN
                                    CHEMILUMINESCENT ANALYZER-
MULTI-POINT
SAMPLING
PROBE
NO A
PUMP


~*
DRYER

— »


NO CELL
CO
C02 CELL
CO Al
CO CELL
                                          AIR-
       FIGURE 197.  SCHEMATIC OF SOLAR RESEARCH EMISSION ANALYSIS
                     EQUIPMENT

  in their respective instruments.  The capability of the equipment includes the measure-
  ment of NO from a few parts per million up to about 1 percent; CO and CO2 are
  measured up into the percent range.

  2.  The Beckman Model 402 Flame lonization Detector (FID)

          In this equipment, shown in Figure 199, the sensor is a burner where a
  regulated flow of sample gas passes through a flame sustained by a metered flow of
  hydrogen and air.  Within the flame, the hydrocarbon components of the sample gas
  undergo a complex ionization that produces electrons and positive ions. Polarized
  electrodes collect these ions, causing a current to flow through an electronic measur-
  ing circuit. This  ionization current is proportional to the rate at which carbon atoms
  enter the burner,  and is therefore a measure of the concentration of hydrocarbons in
  the sample stream.  The range of this  equipment is linear from 5 ppm up to 5 percent.
  It operates at an oven temperature of approximately 375° F.
                                        184

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                                                            I
                                                          Nitric Oxide
                                                          11 Inch Coll
             Flow Meters
                    Carbon Dioxide
                    ).25 Inch Cell
Carbon Monoxide
   2.5 Inch C
  10.0 Inch Cell
FIGURE 198.  BECKMAN NONDISPERSIVE INFRARED (NDIR) ANALYZER FOR
             MONITORING CO, CO2, AND NO
                                   185

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05
                                                                                                 Electronic I'nits
                             FIGURE 199.  BECK1VLAN MODEL 402 HYDROCARBON ANALYZER

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                                         WINDOW
SAMPLE
                                         PHOTOMULTIPLIER
                                               TUBE
                  -  DRY AIR IN

       FIGURE 200.  SCHEMATIC OF NO CHE MIL UMINE SCENT DETECTOR
3.  The Thermo Electron Model 10A Chemiluminescent NOx Detector

        The Chemiluminescent Detector which is shown schematically in Figure 200
operates on the basis of the reaction: NO + 03 — * NO£ + NO2* + O% whereby about
10 percent of the NO2 formed is at a higher than base energy level.  As this excited
NO2 decays in the ground state energy on the form of photons  is emitted.

        The sample gas and an excess of ozone are reacted in a low pressure
reaction chamber.   A photomultiplier tube measures the resultant emissions of
Chemiluminescent radiation through a window and provides an electrical signal which
is proportional to the-.NO concentration on the sample gas.

        The instrument (see Fig. 201) is equipped with a converter which when operated
at a temperature of about 1200° F reduces any NO£ present on the sample gas to NO
hence NO£ can be monitored using a different method.
4.  The Von Brand Smokemeter

        Exhaust smoke is sampled with a Von Brand Smokemeter (Fig. 202).  This
meters a quantity of the exhaust, set at 0. 108 cubic feet per square inch of filter
                                      187

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FIGURE 201.  THERMO ELECTRON CORP. CHEMILUMINESCENT ANALYZER
             MODEL 10A
                                188

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•<-
                                         FIGURE 202.  VAN BRAND SMOKEMETER

-------
paper, through a Whatman #4 filter paper tape which moves at a constant speed of
4 inches per minute under the sample head.  A small vacuum pump draws the sample
through the sample head and filter paper.  The instrument enables traces to be made
during steady state and transient running conditions with the particulate carbon being
retained on the filter paper". The resultant trace is analyzed with a Photovolt 610
Reflectometer. With this instrument the filter paper smoke stain is assigned a
reflectance number by adopting a standard of 100 for a clean paper trace and zero for
black. The filter tape is positioned under  a. search head which measures the amount
of light reflected from the strained tape when subjected to a standard amount of
incident light. The Von Brand Smoke number is defined  as 100-% (relative reflectance
in %).

        The  sampling probe is mounted at any convenient station and is uncooled.  The
probe design  is either single or multipoint for averaging. The sample line  is generally
kept as short as possible with the minimum of bends or kinks.

5.  Calibration

        The  NDIR, FID and CL instruments depend upon calibration gases  for their
operation.  Calibration gases can be divided into two categories:

           • Primary standards which have an accuracy of between 0.02 and 1
             percent for the component being monitored  present in the gas.  (The
             smaller the quantity of the  component in the gas, the larger the
             error becomes.)

           • Certified standards in which the error in the component monitored is
             between 2 and 5 percent.  (This is again a function of the quantity of
             concentration  of the monitored component in the gas.)

In practice,  certified standard gases are used as span gases  and zero gases for the
calibration of the emission  monitoring equipment noted above.

        The  certified standard gases were carefully analyzed against the ten
standardization procedures  of the Environmental Protection Agency at the Mobile
Source Pollution Control Lab.,  Willow Run Airport,  Ypsilanti, Michigan.  Zero
gas is defined as a gas which does not contain the component being monitored and
therefore sets the zero point on the analytical equipment. The span gas is defined as
a certified standard analyzed against the primary standard which contains a certain
concentration level of the component being monitored, to which concentration value
the analyzing equipment is set.  In the case of the flame ionization detector  and the
                                      190

-------
chemiluminescent detector, the relationship between concentration and readouts is
linear.  When calibrating the NDIR several span gas ranges are necessary since the
relationship of signal to concentration is not quite linear.

6.  Sample Treatment

        From the  sampling probe the NDIR gas sample passes through a particulate
filter and a water vapor drop which dries the sample by freezing out the water vapor.
Additional dehydration filters use chemical adsorbants to remove all traces of water
on the sample flowing to the NO cell which is extremely sensitive to water vapor inter-
ference. In the drying process the temperature of the sample drops to below  100°F.

        The samples to the FID and CLD are routed to the instruments through
heated lines maintained at temperatures  of about 250 and 350°F respectively after
passing through particulate filters.

7.  Data Reduction
        The data reduction procedure is based on IBM 360-50 Program EP-415; a
sample data point is given as Figure 203.  The various steps are described below.

Raw Data

        The raw data are given in parts per million (ppm) on a dry basis for CO and
NO by volume; ppm on a wet basis for hydrocarbons by volume (measured as carbon
atoms), and percent on a dry basis for CO2 by volume.  If the NO/NOX is measured
on the chemiluminescent instrument,  the reading is ppm wet.

Correction for Interference

        The NO and CO observed readings are corrected for interference effects.
This does not apply if the NO/NOX is measured on the chemiluminescent instrument.

           • The NO is corrected for the presence of CO,  CO£ and HC in the
            sample.

           • The CO is converted for the presence of CO£ in the sample.

           • No corrections are required to the CO£ and HC observed values.

Conversion to "Dry" Volumetric Concentrations

        This is required for the HC and NO/NOX if measured on the chemiluminescent
instrument. The correction factor is a function of the air-fuel ratio (as measured or
calculated from a carbon balance) and ultimate analyses of the fuel (5C,%H£).

                                     191

-------
awn-i. HL'1.1! F
TATA PP ff>!T
FUEL * CAPRON
I HV <*TU/LR
HUMIDITY GN/L1*
THF APOVF VAIUF
V'ATFR VAPOUR
FQUIV. PATIO
HUMIDITY FED
HUMIDITY CAL

.D.C. *3r'."> RRAYTPN 6-^-72
CftC r (\ir, I «gp SPFFD *
84.70000 r.O? 7
15.30000 HORSFPPWFP
13700.0 WA LP/SFC.
75.0000 WF I.P/HR
JP4 JIC3
1.0000
7.9^000
399.00000
0.4310?
22.00000
PF WA WAS CALniLATFD RASED ON AN ASSUMED
- 0 . 9f. 9 1 o
0.71314
1 .00000
O. QOQO]
NO
PPM qgsfRvpn 773.OOOOOO
PPM CORP. INT 773.000000
PPM WFT 773.00000O
PPM DRY ?«l. 705811
PPM DRYf, STDICH 1280.363781
PPM DRYt STHICCHUM 1730. 863281
nOM WFTEHUM 773.000000


273.000000
273.000000
773.000000
281.70581 1
1280.86328 1
1280.863781
273.000000
AS AS
( N(12 ) ( N02 J
GM/KG FUFL 31.003621 31.008671
GM/HP 310.03618? 310.08618?
GM/HR PHP 0.344973 0.344923
LB/HR 0.633612 0*633612
L3/HD PHP 0.000760 0.000760
MICPOGM/CUP. MFTER 5^1569.9375 531569.9375
F COMR en
c fpM R H/C
F COMB COEH/C
99. 0771 73
99.960360
99.04651 3
CO? RATIO MFAS/CALC WITH CH£H/C

0. 999003



loor C02 PATIO.
CO
16.^00000 •
14.500801
14.05266?
14.500801
68.034958
68.034958
14.05266?
CD
0.971808
9.718081
0.010810
0.021424
0.000024
16659.3633






H/C ASCI
9.000000
9.000000
9.000000
9.287009
47.226257
42.226257
9.000000
( H/C I
AS
CHI. 85
0.308270
3.082703
0.003429
0.006796
O.OOO008
5284.5703
                        FIGURE 203.  DATA REDUCTION


Conversion to "Equivalent Stoichiometric" Volumetric Concentrations

        This step involves a multiplication by the ratio

                Actual A/F ratio
             Stoichiometric A/F ratio

which is the inverse of the equivalence ratio.  The numerator is either obtained from
direct measurements of the air and fuel flows or a carbon balance.  The demoninator
is calculated from the ultimate analysis of the fuel.
                                      192

-------
Correction of NO/NOy for Ambient Humidity Effects

        The formation rate of NO is sensitive to the humidity of the test air supply.
The NO results are therefore normalized to a standard humidity condition of 75
grains/pound dry air in line with the correction formula laid down in the Federal
Register of July 2,  1971, Vol. 35, No.  128,  Part II, EPA "Exhaust Emission Standards
and Test Procedures".

Mass Concentrations
        From the wet basis, volumetric concentrations (corrected for humidity in
the case of NO/NOX), and the mass concentrations are calculated using the densities
of the various species as laid down in the Federal Register of July 2, 1971,  Vol.  35,
No. 128,  Part II, EPA "Exhaust Emission Standards and Test Procedures".  The
NOX is expressed as NO2 and the HC is assumed to be CH^ 85.

Combustion Efficiency and Carbon Balance

        Combustion efficiencies are extracted from the amounts of CO and HC.  (The
HC in this case is assumed to be completely unburnt fuel.)  A carbon balance is made
on the air and fuel flows into the combustor with the CO, CO2 and HC flows out of the
combustor to check on the measurement accuracies. This can only be carried out of
the air, and fuel flows are measured directly; otherwise the carbon balance must be
assumed to obtain a test air-fuel ratio.
                                      193

-------
                    SOLAR
                    RESEARCH
                    MEMORANDUM
                                      R73J-3441

                                      January 11, 1973
  To:
  cc:
T. E. Duffy. Research Staff Engineer
W. A. Compton    J. Urick, Eng.
J. V.  Long        File (PER)
D. J.  White       Ref. File
J. Stice
                                     From:   P. B. Roberts
                                             Senior Analytical Engineer

         Subject:  ANALYSIS OF EPA GAS SAMPLES. S.O. 6-3827-7,
                 EWO 6033425
  I.  BACKGROUND

         As part of a continuing effort to ensure the use of uniform gas analysis
  instrumentation, calibration and sampling methods among its contractors working
  on low emission programs, the Environmental Protection Agency delivered to
  Solar last November a number of cylinders containing gaseous constituents of
  unreported concentration for our analysis.

         The objective of the exercise was for Solar Research to label the
  concentrations of the various cylinders and to then return the cylinders to the
  EPA for presumably subsequent analysis by other contractors. A listing of the
  cylinder constituents and their approximate ranges of concentration was supplied
  by the EPA.

         As a secondary effort during this investigation,  the cylinders were
  analyzed by Engineering on their own separate instrumentation for comparison
  purposes (using their own charge number).

         The work was carried out during the month of December 1972.

  II.  INSTRUMENTATION

         The Research instrumentation comprises:

            • Beckman 315-A NDIR for CO2 and CO
            . Beckman 402 FID for UHC
SOLAR
              DIVISION OF INTERNATIONAL HARVESTER COMPANY
                                   195

-------
                                                             R73J-3441
                                                             Page 2


           • Thermo Electron 10A CLD for NO/NOX with molybdenum coil converter
            for NO 2 reduction

        The Engineering instrumentation is essentially identical to the above with
the exception that the NDIR instrument is the Model  315-B which incorporates solid
state electronics and has different CO and CO  ranges.
        The N©2 converter is of the standard stainless steel coil type.

IH.  PROCEDURE

        The procedure adopted was for Research to initially calibrate the instrumen-
tation with its available Gold Standard gases.  These have been labeled by the EPA and
are normally retained for use in labeling secondary standards only.  The NDIR curves
were checked at four points on each range.

        The EPA samples were then analyzed by introducing them into the instrumen-
tation through the calibration gas input points rather than through the various heated
sample lines. As  it was know that the diluent of each sample was either dry air or
nitrogen,  either method would give identical results with clean sample lines.

        Engineering's results were obtained after only preliminary  calibration with
their normal (secondary standard) gases and a 'one point span check on the  NDIR
ranges. It should be understood that Engineering utilizes the Research Golden
Standard gases  for initial labeling of calibration gases (secondary standards) upon
delivery.

IV.  RESULTS

        The results  are shown in tabular form in Table I.  Column #1 lists the
approximate ranges as reported by the EPA, #2 shows the Research results and
#3 gives the Engineering results.

        Total time charged for Research to complete the analysis, including reporting
is 35 hours.

        In comparison, Engineering with its reduced calibration effort completed
the analysis within 8  hours.

        The expected level of accuracy for the Research results is high except for
the three low concentration CO samples.  Due to an absence of suitable gold standards
for this instrument range only a single point calibration could be made with a secondary
standard.  Any  error however is unlikely to be more than ±10 percent.
                                      196

-------
                                                             R73J-3441
                                                             Page 3
                                   TABLE I

                             ANALYSIS RESULTS
                                   #1
                              EPA Reported
#2
#3
Cylinder
No.
B-1094
B739
37562
37853
37730
37758
37769
37793
37699
37749
B-880
37768
37581
37723
37847
37764
Gas
NO
NO
C3H8
C3H8
CO
CO
CO
CO
CO
CO
co2
co2
C02
C02
—
—
Diluent
N2
N2
Air
Air
N2
N2
N2
N2
N2
N2
N2
N2
N2
N2
N2 zero
N2 zero
Concentration
Range
0-100 ppm
0-50 ppm
0-50 ppm
0-200 ppm
0-100 ppm
0-100 ppm
0-100 ppm
0-500 ppm
0-500 ppm
0-2000 ppm
0-5%
0-5%
0-15%
0-15%
gasO. 1 ppm HC
<0. 1 ppm HC
Research Results
96. 5 (3)
47.1
33.3 (1)
150.7 (1)
21.0
46.5
78.0
271.0
447.0
-(4)
2.07
4.28
8.82
13.60
0.0
0.0
Engineering
Results
94.0
47.0
30.7 (1)
127.5 (1)
21.0
49.0
82.0
279.0
463.0
>1000.0 (2)
2.0
4.2
8.6
13.4
0.1
0.0
(1) measured as methane -
(2) Engineering instrumentation has maximum CO scale 0 -1000 ppm
(3)  2.0 ppm NO2 analyzed in addition
(4)  Not analyzed.  Available scales are 0-1000 ppm and 0-2.5%
V.  RECOMMENDATIONS
           •Obtain sufficient gold standard gases to adequately calibrate every range
            of each instrument

           •Attempt to fall into line more with previous informal EPA recommendations
            as to procedures, materials, calibration gases, etc.  Ref. :  S. I.C.  "Trip
            Report, EPA Ann Arbor, Michigan",  P. B. Roberts to J.  Watkins,
            31 Jan. 1972

           •Adopt the procedure of regular cross checks between the Engineering
            and Research instrumentation.
PBRrst
                                     197

-------
APPENDIX II
     199

-------
    EFFECT OF SCALING ON MATRIX METAL WEIGHT AND WATER HOLD UP
        Kays and London (Ref. 5), on page 10 of their book,  show that for a heat
exchanger with the gas side resistance dominating,
                                 C   \
                                  *-"                               (i>
                             6    mm
If NOg. and C  /Cmi_ remain constant,
     o      o
                           stg
                         g
Ordinarily, St can be described by an equation of the form

            St  = KRe~a                                                 (3)

                 /W\"a    -a
                        DH                                              4
            NTU oc                DH                                  (5)
The exponent a is normally in the range 0.4 < a < 0.7.

        Now if tube stress is to  remain constant,  then tube wall thickness is
proportional to tube diameter,  which means that for geometrically similar bare tube
arrangements, both matrix metal weight and hold up volume are proportional to core
volume.  The core volume is given by

                             „  -1
                                      201

-------
        From equation (5), if NTU is maintained constant;
            55  *        »
        Combining equations (6) and (7), one sees that if NTU and W are maintained
constant,

                   W V1 + a    1 + a
                                1                                         (8)
So for geometrically similar bare tube matrices, both core weight and hold up volume
tend to be proportional to tube diameter to the (1 + a) power.

        For a finned tube, the fin thickness must increase more rapidly than the tube
diameter, if fin effectiveness is to remain constant.  As is shown on page  9 of Kays
and London, if fin effectiveness is to remain constant, then, for geometrically
similar arrangements,
                    2
            d « DH  h                                                   (9)

                    / W \   / W Y ~ a   -a
but         h«st_oc_       DH.                               (10)
                     -
so          6  « DH     —                                              (11)


        Since, for a geometrically similar matrix,  spacing between the fins is
proportional to DH,  core weight for the fins is scaled by
            M «                                                         (12)
                     2
so           M «  DH                                                    (13)

        From the above, it is seen that it is advantageous from the standpoint of core
weight and hold up to keep the tube diameters as small as possible.
                                      202

-------
APPENDIX III
     203

-------
SIZING ANALYSIS

       The method used to size the various parts of the unit was essentially
the same in all cases.  First, inlet and outlet gas and water conditions were
estimated, using the design requirements and an overall heat balance.  This
fixed the required effectiveness, and the thermal capacitance rate  ratio for
the two streams.  Next, the amount of heat transfer surface needed to
produce  the required effectiveness was estimated using  the NTU-effectiveness
approach described in Chapter 2 of Kays and London (Ref. 5).   This approach
uses the functional relationship

            € =  f(NTU, C  . /C    ,  flow arrangement)              (1)
                         1111,11
where      NTU =                                                   (2)
            C =  WCp                                                (3)


                  ATmin
                                                                     (4)
                 T, .  - T .
                  hi     ci
                                                    s
Various gas side surfaces were evaluated on the basis of ease of manufactur-
ing,  water hold up volume,  gas side pressure drop, and the number of tube
rows needed to produce  the required NTU.  It was known that in all areas
the dominant film resistance would be on the gas  side, so the actual config-
uration of the water side was relatively unimportant from a heat transfer
viewpoint.

       With the gas side surface chosen,  the number of parallel passages
on the  water side could be determined on the basis  of water side pressure
drop considerations.  With the water side flow arrangement known, a check
was  made to ensure that the  water side thermal resistance did not  reduce the
NTU below the required limits.

Preheater

       The fluid stream temperature estimates used to size  the preheater
are tabulated below.

                          Gas Side        Water Side
                 Inlet      1090°F       160°F
                 Outlet     306°F       56l°F (saturated)

                                   205

-------
These conditions required

            €  = 0.851                C  •  /C      =  0.537
                                      mm  max

       Since most of the actual water hold up in the vaporizer is in the pre-
heater,  it is important to minimize the tube volume in this section.  For this
reason, a finned tube.configuration was chosen for the pr cheater. The pre-
heater is in a  cold part of the exchanger,  so copper fins were chosen because
of their high fin effectiveness and the ease with which they are manufactured.
It was decided to use a monotube arrangement if pressure drops permitted,
since this would tend toward simplicity in the manifolding  arrangements and
easy, low-cost assembly of the unit.

       The  final configuration was three rows of 3/8 OD 321  stainless steel
tubing, with 1.8 inch high by 0.012 inch thick copper fins, with 15 fins per
inch. Pertinent data for this  surface are shown in the table below.

            S  = 0.717 inch           D =  0.784 inch
            a  = 0.297                a =  151.1 ft2/ft3
         DH  = 0.00785ft           fin area/total area  =  0.859

This surface is quite similar  to  the surface of Figure 96 in Kays and
London (Ref.  5).

       Gas  side heat transfer was evaluated using the data provided in
Figure 96 of Kays and London.  Pertinent results were:

            Re =  404
             h =  32.4 BTU/ft2°F
            tube length/row  = 39.0ft
            area/row =  22.3ft2
            fin effectiveness  =  0.98
            gas side AU/row  =  710 BTU/hr°F

       Water  side friction factor and pressure drop were  evaluated using the
standard Darcy-Weisbach friction factor.  It was found that a monotube
arrangement would allow the pressure drop to be held down to a reasonable
level.  The  water side pressure drop results were:

            Re =  1.329 x 105
             f =  0.01804
            Ap -  45-3 Psi

       Heat transfer coefficient on the water  side was estimated using the
correlation  on page 399 of Bird, Stewart, and Lightfoot (Ref.  6).
                                  206

-------
           (St) (Pr)
                   2/3  _
0.026
    175
                                             (5)
The following results were obtained for the water side heat transfer.

                            h  = 5070 BTU/hr ft2°F
           water side AU/row  = 17,120 BTU/hr°F
                     area/ row  = 3.38
       With the above results for the gas and water side,  the results for
overall heat transfer were as shown below.
           AU/ row
              Cmin
          NTU/row
682 BTU/hr°F
705 BTU/hr°F
0.967
       The effectiveness for each row of tube was estimated using equation
15 on page 12 of Kays and London for  the crossflow arrangement with the
maximum capacitance side mixed and the minimum side (in this case,  the
gas side),  unmixed.
            r =
-NTU
                                                                    (6)
                   max
                   'mm
                              - e
                  /C
              'min  max
                                                                    (7)
        The number of rows necessary to achieve the required effectiveness
 was determined from equation 17b on page 13 of Kays and London, which
 applies to multipass cross counterflow exchangers with each fluid mixed
 after each pass.
            € =
                    1 - £ C .  /C
                        p  mm  max
                           1 - e
                                    n
                                       - 1
                                                                    (8)
                I-e  C  . /C
                    p  mm  max
                      1-6
                                 n
                 mm
                                       max
                                   207

-------
       The results obtained for the preheater were:

            €p  =  0.527

            f3  =  0.843

            62  =  0.737

            C4  =  0.903

Although three rows do not quite give the effectiveness of 0.851 which was
desired, it was decided that three rows would provide adequate preheating.
This was indeed the case,  as is shown by Table VI.  Water leaves the pre-
heater with only about 5° F of subcooling.  Experience with the present
test bed unit and the available literature on the subject (discussed in Section
6), indicate that such a small degree of subcooling is unlikely to produce
any hydrodynamic stability problems in the vaporizer, especially in the
monotube configuration finally chosen for the vaporizer.

Vaporizer

       The estimates of inlet fluid conditions  shown below were used to
size the vaporizer.

                 Gas Side             Water Side
                  2500°F             Saturated at
                                     545°F, 1000 psia

It was desired that the vaporizer have an ample  safety margin for burnout,
and that it produce an outlet steam quality of at least 50 percent.  This
would allow dryout to take place in a low temperature part of the boiler,  at
a high quality, so that the  reduction in water side heat transfer  associated
with dryout would not be severe.  A wide safety  margin for burnout at full
load should help keep the safety margin  adequate at part load, even when
operating at high flame temperatures.  As in the preheater,  it is desirable
that the tube volume be kept down to a minimum, and that the manifolding
arrangement be as simple as possible.

       It  was felt that the  best arrangement for  satisfying  these requirements
was two rows of 5/8 OD 321 stainless steel tubing,  arranged similar to the
surface of Figure 48 of Kays and London.  While this is certainly not the most
compact possible bare tube arrangement, it was felt that it was the most
compact which would allow reasonable ease  of manufacturing.  It was  decided
to use a monotube arrangement in the vaporizer  for improved stability,  if
pressure  drop and dryout considerations would permit it.  Pertinent data for
the gas side heat transfer  surface are shown below.

                                   208

-------
            S  =  0.9375 inch
            a  =  0.333
          DR  =  0.0496 feet
            D =  0.9375 inch
            a =  26.9 ft2/ft3

       Gas side heat transfer was evaluated by the same method as used in
the preheater design.  The results were

            Re =  1343
             h =  24.2 BTU/hr ft2°F
            tube length/row = 29.8ft
            area/row  = 4. 88 ft2
            gas side AU/row  =  118. 1 BTU/hr°F

It was assumed that the water side thermal resistance would be negligible,
as long as dryout did not occur.

       With the above information for heat transfer, the effectiveness of
the vaporizer  was determined from

            6-1- e-NTU                                         (9)

This is the  relation given on page 12 of Kays and London for heat exchangers
with C,,.  1C      =0.  The results were
      mm'  max

                 cmin  =  823 BTU/hr°F
                      €  =  0.249
                  NTU  =  0.287
            exit quality  =  51.3%

With these results, the probability of dryout in the vaporizer was estimated
using the  criteria described in Appendix IV.  The Baker plot indicates that
the flow is indeed in the  annular flow regime.  The  Westinghouse Atomic
Power Division correlation, presented as  equation (4)  in Appendix IV,
            x   , =(
            cr"                                                    do)
                                      -  _L* 0.548
                                   209

-------
was applied with the input data and results shown below.  In equation (10),
must be input in inches, and G in Ibm/hr ft2'.

            De  = 0. 561 inch

             G  = 0.750 x 106 Ibm/hr ft2

         xcr.t  = 76.1%

             L  = 59.6 ft (for two monotube rows in series)

          L/D  = 1273

       (VV/VL)  = 20.6

It is seen that there is amply safety margin for dryout, so a monotube
arrangement in the vaporizer is certainly satisfactory from that standpoint.

       Using Tippets' correlation, described in equations 5 through 9 of
Appendix V,

            x  =  0.513

        qcrit  =  2'746 x 1()5 BTU/hr ft2

            a =  0.808

            q  =  4.23 x  104 BTU/hr ft2

The margin of  safety indicated by Tippets' correlation is  not so large as it
seems. An increase in flux increases the exit quality,  which in turn,
sharply reduces the critical heat flux predicted by Tippets' correlation.

       Using the values  of quality and void fraction shown above,  the vapor
velocity can be calculated from

                  Gxvv
            Vv  =—T                                               

with   vv  = 0.445 ft3/lbm

       Vv  = 59.1 ft/sec

This is about the maximum velocity which Bennet and his co-workers (Ref.  7)
found could be tolerated without danger that the liquid film would be blown
off  the wall.
                                    210

-------
       After considering the results of all of the above correlations, it was
decided that the vaporizer would almost certainly have an ample margin of
safety for dryout at full load,  and that a monotube arrangement would not
produce high enough vapor velocities to cause premature dryout.

       Pressure drop in the vaporizer was estimated by the method presented
by Martinelli and Nelson (Ref. 8).  Their  correlation is
             P
                        , (P, x )                                     (12)
and         r  =  r(p, XG)                                            (14)

The functions  f1 and r are tabulated in Reference 8.  Applying the method  of
Reference 8 to the vaporizer tube rows, the following results were obtained:

            G =  0.750 x 106 Ibm/hr ft2

              =. 0.01734

            p  =  1000 psia

            f =  9.13

       ReLQ =  1.452 x 10. 5

       Ap    =  1.118psi/row
          LO
           xe  =  0.513

            r  =  0.155

          Ap  =  21.9 psi

For automotive boilers, it appears that vaporizer velocities low enough to
prevent premature dryout will almost always ensure that the  pressure drop
in the vaporizer will be quite acceptable low.
                                   211

-------
Dryer

       It is in the dryer that the working fluid is changed from saturated
vapor to superheated steam.  Since this is the case,  the  liquid film on the
wall must at some point become so thin that it breaks up, with a  consequent
reduction in the water side heat transfer  coefficient.  The dryer  tube is
placed in a relatively cool part of the exchanger,  so  that a decrease in water
side heat transfer coefficient will not produce  excessive  increases in tube
wall temperatures.  The tube mass flow rates are such that wall dryout will
occur at relatively high quality.  When this is  the case, fairly high heat
transfer coefficients are maintained on the water  side even after dryout,
thus keeping tube wall temperatures within reasonable  limits.

       In order to keep the  dryer  tube pressure drops  within reasonable
limits,  it was necessary to  use  either two parallel passages of 3/8 OD tube,
or a 5/8 OD monotube. In order to achieve reasonable compactness, a  finned
tube arrangement was desired.  Because of the high  fin tip temperatures
expected in the dryer, it was felt that the fins  should be stainless steel rather
than copper. In order to achieve reasonably high fin effectiveness with
stainless steel fins,  short fins were necessary.  In order to get high fin area/
total area with short fins, tube diameters must be small. For this reason,
the parallel flow 3/8 OD finned tube arrangement was chosen.

       The dryer therefore consists of one row of 3/8  OD finned tube, arranged
in two parallel flow passages.  The tube spacing and fin arrangement are
exactly the same as for the  preheater,  but the fins are 304 stainless steel
rather than copper.

       For one row of 3/8 OD tube with stainless  steel fins,  the  gas side
heat transfer results  were:

            Re   =  296

             h  =  42.0 BTU/hr  ft2°F

            tube length/row =  19.5ft

            area/row  =  22.3 ft2

            fin effectiveness =  0.76

            gas  side AU/row  =  743 BTU/hr°F

As a preliminary estimate,  it was assumed that the gas side heat transfer
would be the dominating resistance.  An initial guess of both gas  and water
side entrance and exit temperatures was made, as shown below.
                                  212

-------
                 Gas Side                       Water Side

       Inlet      1768CF              545 F,  1000 psia, 51.3% quality
       Exit      1061°F              707 F,  1000 psia

With these assumed conditions,

           C  .   = 760 BTU/hr°F
             mm

           Cmi_/C     =  0.229
             11:1111   max
           NTU/row  = 0.966

Putting these values into equation (7),

            6 = 0.576

       When this value for the effectiveness of the dryer was  factored into a
more precise heat balance for the overall exchanger, the values shown in
Table VII resulted.

       Pressure drop in the dryer was estimated by the method of Reference 8
for the two phase flow part of the dryer  (also see Appendix VI).

       The functions f^ and r of Reference 8 allow the calculation of two
phase pressure drop when the heat input to the water is uniform with length
and the water is saturated at inlet.  It follows, then, that if the heat input is
uniform but the water has some quality at inlet,  equation (12)  and (13) can be
generalized to


                             G* '   ' - *>e
Friction pressure drop in the superheated regime was estimated using the
standard Darcy-Weisbach friction factor approach.   Acceleration pressure
drop in the superheated regime was estimated from the assumed saturation
and exit conditions.  The results were:
                               Two Phase Flow

           G =  1.004 x 106 Ibm/hr ft2     ReLO = l-145xl05

         fT _. =  0.01848                   ApT ^ = 1.648psi
          J-iVj                                T .O

           p =  1000 psia                     xj = 0.513

           xe =  1.00                          f = 9.13


                                   213

-------
           f   =  14.9               r-  =  0.155
           C                          I

           r   =  0.424              Ap  =  14.03 psi
           6

                          Superheated

          R   =  4.41 x 105            f  =  0.01544

         Apf  =  20.3 psi        Ap     =  2.8 psi
           I                       cLC C

          Ap  =  23. 1 psi
       Stability of the parallel flow paths was investigated using Quandt's
(Ref. 4) approach.  The approach to designing for stability in the dryer
has been extremely conservative.  Quality is quite high at entrance to the
dryer at 57.3 percent.  As mentioned in Section 6,  this should have a
strongly stabilizing effect on the flow.  There are only two parallel passages
in the dryer.  The dryer  tube material has been selected as Hastelloy X,
as alloy with excellent strength at temperatures much higher  than those
anticipated for the dryer tube walls.  To prevent possible development test
burnout failures the dryer material and wall thickness selected allows
operation at the  maximum flow distortion.  Even with no flow through one
of the passages the tube wall would not fail at maximum system pressure
and the wall in equilibrium temperature with the combustion gases.  This
precaution was necessary as demonstrated by the test results.  No serious
maldistributions of flow occurred in the dryer during steady state or transient
tests.  Detailed  analysis of the stability of the dryer also confirmed the high
degree of stability (see page  226).

Superheater

       The fluid temperature estimates used to size the superheater are
shown below.

                    Gas Side            Water Side
           Inlet      2030°F          707 F,  1000 psia
           Outlet    1768°F         1000 F,  1000 psia
                                  214

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These conditions required

            £ =  0.221

            C  .  /C     =  0.894
             mm  max

Unlike the rest of the unit,  the maximum capacitance side in the superheater
is the gas side,  not the water side.

       In keeping with a conservative approach to the problem of
parallel flow stability,  and in order to simplify the manifolding as much as
possible,  a monotube arrangement was chosen for the superheater.  The
surface used was the same as for the vaporizer,  a 5/8 OD 321 stainless steel
monotube with the tube  lateral and depth spacing equal to 1 . 5 times the tube
OD.   The pertinent data for this  surface are presented in the vaporizer section.

       Gas side heat transfer results for this surface were

            Re  = 1448
             h  = 23.2 BTU/hr ft2°F
            tube length/ row  = 29.8 ft/ row
            area/row  = 4.88ft^/row
            gas side AU/row  =  113. 1 BTU/hrJF

       Water side friction factor and pressure drop were evaluated using the
Darcy-Wiesbach  friction factor.  Acceleration pressure drop was estimated
from the assumed inlet and exit conditions.  The  results were:

            Re  = 5.58 x  105
           Apf  = 62. 2 psi
            Ap  = 64. 2 psi
             f  = 0.01433
       Heat transfer coefficient on the water side was estimated from a
modified form of the MacAdams equation

                        0.023
           st  =

The results were
           h  =  727 BTU/hr ft2°F
           area/row  = 4.22 ft  /row
           water side AU/row  = 3070 BTU/hr°F
                                   215

-------
       ii,ven in the superheater the gas side thermal resistance greatly dom-
inates that on the water side.  This means that the superheater tube tempera-
tures will be quite close to the steam outlet temperature.  A pure counterflow
unit would probably have been feasible, although slightly less conservative,
for this unit.

       With the above results for the gas and water sides,  the  results for
overall heat transfer were

           AU/row '=  109.1  BTU/hr°F

           C  .   =718 BTU/hr°F
             mm

           NTU/row  = 0.1519

       The effectiveness for each row of tube was estimated using the same
method as described for the preheater .  The minimum capacitance side is
now the water side,  (the mixed side), so that the pertinent equations become

                      -NTU(C  . /C    )
            r  =  1 - e       mm   maX                             (17)
                      -77C  . 1C    )
           6p  =  1 -e                                               (18)


The number of rows necessary to achieve the required effectiveness was then
determined from equation (8) of this report.

       The results obtained for the superheater were

           €   = 0.1324             £_  =  0.235
            P                         2

           *3  = 0.318

       It appeared that two tube rows would be just barely adequate for the
superheater, since the required effectiveness was 0.221.

HEAT BALANCE

       As  has been pointed out, sizing of the various parts of the unit required
that assumptions be  made about entering and leaving  gas and water side con-
ditions.  In order to check these assumptions,  a heat balance was  made for
the whole exchanger. By assuming constant  heat capacities and heat transfer
coefficients,  it was possible to write this heat balance in the form of  12 linear
equations in 12 unknowns.  These equations and their derivations are  presented
below.  The numerical subscripts refer to the numbered stations shown in
Table VII.

                                   216

-------
Pr eheater

       From the definition of effectiveness, and the calculated value of the
preheater effectiveness,
                     .  0.843!                                      ,1,)
       A second preheater equation if formed from a heat balance on the pre-
heater.  The gas side specific heat is assumed  to be 0.264 BTU/lbm.  The
water inlet enthalpy at ^60°F is 127.9 BTU/lbm.  The ratio of gas side to
water side flow rate is 2.225.   The energy balance  equation for the preheater
is then

           hg  =  127.9  + (T5  - T6) x 0.264 x 2.225                  (20)

       A third preheater equation is  written to  determine the state of the
water leaving the preheater.  At the  calculated  preheater exit pressure of
1 124 psia,

           h    = 560. 9 BTU/lbm   Ah,   = 625. 9 BTU/lbm
             sat                        ig
                  (hg - 560.9)
            X8 V    625.9

Vaporizer

       The water in the vaporizer is assumed to be in equilibrium with its
vapor at the vaporizer pressure.  The average temperature of the water in the
vaporizer is therefore 558°F.  The effectiveness equation for the vaporizer
then becomes

            2500 - T
            -  =  0.249                                      (22)
            2500 - 558

       The average gas side specific heat for the vaporizer was taken as
0.308 BTU/lbm°F. The heat balance equation for the vaporizer is then

            hQ =  h0  + (2500 - T~) x  0.308 x  2.225                (23)
             /    o             <-
       The outlet pressure from the vaporizer was calculated as 1103 psia.
At this pressure,

            h  .  = 557. 8 BTU/lbm    Ah,   = 629. 8 BTU/lbm
             sat                         tg

                                  217

-------
The state equation is then
                  (h  - 557.8)
           x  =  —f	                                         (24)
             9     629.8                                             v  '
Dryer
        The water entering the dryer is assumed to be in equilibrium with its
vapor at the dryer entrance pressure of 1103 psia.  At this pressure,

            T  t  =  557°F
             sat                                                      .

The effectiveness equation is then

            T  - T
                     = 0.576                                       (25)
            T4 -  557

       The mean gas side specific heat for the dryer was taken as 0.289.
 The heat balance equation for the dryer is then

            h!0  =  ho + (T4 - T)  x 0.280 x 2.225                     <26)

       In calculating the outlet temperature of the dryer,  the dryer pressure
 was taken as 1000 psia, and an average specific heat of 0.851 BTU/lbm°F
 was assumed for the superheated vapor.  At 1000 psia,

            h   =  1191.8  BTU/lbm     T   .  = 545°F
            v                           sat

 The state equation for the dryer is then

                          (h   - 1191.8)
            T1Q  =  545  + 	^n	                             (27)
 Superheater

       The effectiveness  equation for the superheater is

           T   -  T
           	^-^  =  0.235                                      (28)


       With Cmin/C     =0.894,  and the water side as the minimum capacit-
 ance rate side, the heat balance equation for the superheater is
                                   218

-------
            T  - T
             3    4  =  0.894                                         (29)
           Tll ~ T10

       An additional heat balance equation was written in order to allow for
some heat loss from the unit to ambient.  This heat loss was idealized as a
drop in gas temperature taking place between the vaporizer and the super-
heater.  The temperature  drop used was consistant with heat loss observations
on the test bed unit now in operation.  The temperature drop used was  32°F,
so the heat loss equation is

            T2  -  T   = 32

       The solution to these equations is shown in  Table VII.  The values
shown in Table VII agree reasonably close with those assumed in the design.

       An approach similar  to that presented above is used to investigate
off-design performance of the unit in the next section.

PART LOAD PERFORMANCE

       Part load performance  of the single flow path steam generator has
been estimated at 5 percent of the  rated air flow and 2500°F flame tempera-
ture.   The results of the part load performance estimation are shown in
Table X.

       It is evident that as load is reduced, a larger proportion of the total
heat transfer takes place in the vaporizer tubes.  This causes the quality at
exit from the vaporizer to increase as load is reduced.  The ratio of water
flow to gas  flow remains nearly constant as load is reduced.  This is because
the effectiveness of the unit is  quite high,  even at full load.   Reduction  in load
therefore produces only a very slight  increase in effectiveness, hence only a
very slight increase in the  ratio of water flow to gas flow.

       In general, the method used to estimate part load performance was
to assume  that the gas side was the dominating heat transfer resistance.   If
this is the  case, and if the gas side is the minimum capitance rate side, as
is usually the case for the unit being considered here, then NTU is proport-
ional  to the Stanton number,  which in  turn can usually be considered to be
inversely proportional to Reynolds number to some power, depending on the
flow regime and heat transfer matrix  geometry.  In equation form,

            NTU oc  St  « Re~x oc  W~x                               (30)
                                   219

-------
                               TABLE X

     CONDITIONS AT 138 Ibm/hr GAS FLOW AND 66.4 Ibm/hr WATER FLOW
D
k
©
©t
Vaporizer
©
\
i
m

l) • - '
Qi)
Superheater

©1

(5

Dryer
TvJv '
	 ^ — —
*
(5
*D
Preheater
©
'Cf) 1
I©
Gas in 138 Ibm/hr
Station
1
2
3
4
5
6
7
8
9
10
11
Temperature (°F)
2500
1281
1249
990
693
172
160
418
545 (90. 6% qua
700
962
Pressure
Atmospheric



\



r
Atmospheric
1000 psia
lity)
1
1000 psia
       For the finned tubes of the preheater, the exponent x is 0.624.  The
full load NTU per row is 0.967,  so at five percent of the rated gas flow,

           NTU/row =  20°'624 x  0.967  =  6.27

For the three cross counterflow passes of the preheater, with an NTU of
6.27 per row,  the overall preheater  effectiveness is 0.978.  The full load
preheater effectiveness was 0.843.   As was expected,  the very large increase
in NTU at part load has produced only a slight increase in effectiveness.

       For the bare tubes of the vaporizer,  the exponent x is 0.409.  The
full load NTU is 0.287,  so at five percent gas flow,

           NTU =  20°'409 x 0.287  =  0.977
                                  220

-------
For a heat exchanger with the minimum to maximum capacitance rate ratio
equal to zero, this NTU produces an effectiveness of 0.624.   This effective-
ness compares to an effectiveness of 0.249 at full load.  It is this increase
in effectiveness with reducing load which causes a larger proportion of the
total heat transfer to occur in the vaporizer at part load.

       In the dryer, it is not valid to assume  that the gas side resistance
will still dominate the heat transfer process even at low load.  The large
proportion of fin area/total area on the gas side,  the rather low fin effective-
ness at full load,  the very large ratio of gas side area to water side area,
and the fact that for the finned tubes of the dryer,  the gas side exponent x
is much larger than it is on the water side, all combine  to make  the heat
transfer  resistance on the water side increase much more rapidly than it
does on the gas  side as load is reduced.  At five percent of rated gas flow,
the gas side and water  side resistances are of the same  order of magnitude.

       Heat transfer coefficient on the gas side can be estimated by an
equation  very similar in form to equation  (30)

            h  oc  W(1 ~  x)                                            (31)

where the exponent x has the  same value as it  does in equation (30).  Equation
(31) implies that thermal transport properties undergo negligible changes  as
the flow rate is changed.   This is an adequate  assumption for initial perfor-
mance estimates i

       At full load, the gas side heat transfer coefficient was 42.0 BTU/hr
ft2°F.  At five percent of the  rated gas flow, with x equal to 0.624 as in  the
preheater,

            h  =  (0.05)0'376 x 42.0 =  13.62  BTU/hr ft2

With this h, the fin effectiveness increases to  0.90,  which is considerably
above its full load value of 0. 76.  The hA/row at five percent load then
becomes 278 BTU/hr°F.  The full load gas side hA/row was 743  BTU/hr°F.
The gas side hA decreases much more slowly  than the flow rate.

       It was  expected that at part load, dryout on the water side would  occur
quite  close to  the  entrance of the dryer tube row.  Part load heat transfer
estimates in the dryer were therefore based on the assumption that the entire
length of the dryer was filled With superheated steam. At full load, the  water
side heat transfer coefficient in the superheated regime was 1080. 5 BTU/hr
ft  °F.  For turbulent flow inside tubes, x is 0.2,  so  at five percent flow,

            h  =  (0.05)0'8  x  1080.5  = 98.4  BTU/hr ft2°F
                                   221

-------
With this h, the water side hA/row becomes 332 BTU/hr0!',  which is only
slightly larger than the gas side hA/row.  The overall hA/row for the dryer
then becomes 151.3  BTU/hr°F, giving an NTU for the dryer of 3.93.  Since
at part load the dryer operates almost entirely in the superheated regime,
             8 much higher than it is at full load.  After a few iterations, the
final value of C  -n/C    used was 0.844,  which gave an effectiveness of
   ..           iii.Ji.il   TTicLjt
0.667.

       NTU in the superheater was estimated by the same method used for
the preheater and vaporizer, except that allowance must be made for the
fact that,  in the superheater, while the dominant thermal resistance is on
the gas side, the minimum capacitance side is the water side.   The exponent
x for the superheater tubes is 0.409, as it is for the vaporizer.  The full load
NTU/row for the superheater was 0. 1519.  The gas flow is at five percent of
rated flow, but the water flow is 5. 53 percent of the  rated flow.  The NTU/
row therefore becomes

           NTU/row  =  200l4°9 x 0. 1519 x (0.05/0.0553)  = 0.468

With this NTU/row,  the effectiveness for the superheater becomes 0.477.

       With effectiveness for each of the components in the exchanger esti-
mated,  linearized effectiveness, state, and energy balance equations were
written for each of the components, just as was done for the  full load per-
formance estimation, with the results shown in Table X.

DRYER HEAT TRANSFER

       The location  of the dryout point  in the dryer at full load was
estimated, and water side heat transfer coefficients  were estimated
for the dryer both at the dryout  point and in the superheated region.

       The method presented by Tippets (Ref. 10) was used to estimate the
location of the dryout point.  The results were:

           Zcrit  =  6'44 ft/(L  = 19'5 ft " total)

                x =  0.745

                              5           2
             crit     -    x 10  BTU/hr ft

where Zcr^ is the flow path distance into the tube at •which dryout occurs, x
is the quality at the dryout point, and qcrit ^s ^ne critical heat flux.

       The heat transfer coefficient at the dryout point was estimated from
the correlation of Bishop, Sandberg,  and Tong (Ref. 9).  Their correlation is
                                   222

-------
                0.0193GC f(p/pj-(p ).'
          h  =   - Pf  G  b - Ll _                       (32)
                    _  0.2    .    0.068
                    (Re)    (V/V)
They recommended using a homogeneous flow model for the estimation of the
ratio (P/PV.)-  For homogeneous flow,
          P     x((v /v  )-!)+!
         -G- = .   G  L	                                      (33)
In equation (32) the transport properties,  such as viscosity, thermal con-
ductivity, specific heat, and Prandtl number, are evaluated for the gas
phase.  Mass flux is evaluated for the entire flow, both liquid and gas.  The
input quantities and  results for equations  (32) and (33) were:

            C   = 1. 162 BTU/lbm°F      k  = 0. 031  BTU/hr ft'F
             P
             \i  = 0.0481 Ibm/hr ft     Re  = 5.76xl05

            Pr  = 1.803             PG/Pb  = °-757

        V-,/VT   =20.6                   h  = 1224 BTU/hr ft2'F
         Lr   -Li

It appears that dryout occurs at a sufficiently high quality and at sufficiently
high mass fluxes to  prevent any drastic overheating of the dryer tube wall.

       The  heat transfer coefficient in the superheated regime of the dryer
was  estimated using a modified form of the  MacAdams  equation.

                 0.023 GC

          h  =   —o~i—*~27a                                        (34)
               (Re)f°-2(Pr)f2/3

The  input quantities  and results for equation (34) were

            C   = 0.851 BTU/lbm°F      P    =  1.486
             p                            r

             H  = 0.0521 Ibm/hr ft        h  =  1080  BTU/hr ft2°F

             k  = 0.0298 BTU/hr ft°F
                                   223

-------
It is interesting to see that the average heat transfer coefficient in the super-
heated regime is slightly lower than that at the dryout point.  This is because
of the high quality at dryout, and also because the non-ideality of the vapor
phase at saturation at the dryer pressure produces quite high specific heat
and Prandtl number at the dryout point.

       With the heat transfer coefficients on the water side known,  the
overall dryer heat transfer  was re-established.  The results were:

           Gas Side AU/row = 743 BTU/hr°F

           Overall AU/row  = 659 BTU/hr°F

           NTU/row         = 0.857

           C  •  /C          = 0.222
             mm'  max

            e                =0.540

The  € computed with the  water side thermal resistance factored in was only
very slightly less than the 0.576 estimated without it.

BURNOUT

       The high quality calculated at exit from the vaporizer at five percent
gas flow indicated that as load is  reduced, a point must be reached where
dryout occurs in the vaporizer tubes rather than the dryer.  In  such a case,
tube wall temperatures in the vaporizer are subject to two conflicting ten-
dencies.  The reduction  in water  side heat transfer coefficient as dryout occurs
tends to  increase the tube wall temperature.  On the other hand, especially
in the second row of the  vaporizer, the gas  temperature  seen by the tubes
becomes lower as load is reduced,  tending to reduce the tube wall tempera-
ture.  If dryout  can be delayed to a sufficiently high quality, so that  post-
dryout heat transfer coefficients are high, and if dryout in the vaporizer can
be delayed until load is so low that gas temperatures seen by the vaporizer
tubes are low, then dryout in the vaporizer  will not produce excessive tube
wall temperatures.

       The possibility of excessive vaporizer tube wall temperatures at low
load was checked by investigating the probability and consequences of dryout
in the vaporizer tubes  at five percent of rated gas flow.   It was found that at
this  load, the water flow rate was so low that it was outside the range of all
of the correlations used  for investigating burnout at full load.  The Westing-
house APD correlation for example, predicted a dryout quality in excess of
100 percent.  The Baker plot shows that the water flow rate is so low that
even at the vaporizer  exit, the flow is probably in the stratified flow or
                                   224

-------
possibly the wave flow regime, rather than the annular flow regime.  In any
case, it appears that at this low flow rate, dryout is likely to be delayed to a
very high quality.

        In the full load dryout investigations,  it was found that when dryout
occurs  at high quality, post dryout heat transfer coefficients could be fairly
well estimated by simply using the modified MacAdams pipe flow equation
used to estimate heat transfer coefficient in the superheated regime.  This
approach was used for the vaporizer tubes, using thermal transport proper-
ties for saturated steam at 1000 psia.  Gas side heat transfer coefficient was
estimated using the same approach as was used for the dryer tubes, with
exponent x equal to 0.409 for the bare tubes of the vaporizer.   The results
for heat transfer coefficient were 90.4 BTU/hr ft^"F on the water side, and
4. 12 BTU/hr ft2°F on the gas side.

       At five percent of rated gas flow, the  gas temperature at exit from the
first row of vaporizer tubes is already down to 1744°F.  An effective gas
source  temperature for any point along a tube row can be determined from
the following equation, which is derived by considering an elemental slice
of tube  as a miniature heat exchanger with the gas side capacitance  rate
negligibly small compared to the water side capacitance rate.

                                          -NTU C  . /C \
           T    •   = T  +  i-§i	!1L_\	'_            (35)
            source     w  •            NTU

From equation (35) the  effective source temperature for the second row of
vaporizer tubes is only 1494°F.

       Since gas side and water side heat transfer areas are nearly equal,
the tube wall temperature in the vaporizer was estimated from

            TW = hwTw +  hgTsource                              <36>

It was found that even if dryout did occur in the second row of the vaporizer,
the maximum tube wall temperature would be only 586°F.

       From the above investigation the following conclusions were drawn.

       1.   At some part load  condition,  probably less than five percent load,
            the dryout zone will move into the vaporizer tubes.

       2.   When this occurs,  water side heat transfer  coefficients in the
            dried out zone will be high enough,  and effective source tempera-
            tures will be low enough,  so that excessive  tube wall temperatures
            will not result.

                                   225

-------
AIR SIDE PRESSURE DROP

       Air side pressure drop at full load has been estimated, using a slightly
mofified form of Kays and London (Ref. 5)  equation (24b) presented on page
21 of their book.
                 G2v
                    i
                  2
A   .  4fL
     v
      m
DH    v7
       i
                              (37)
                   gc

The results of the pressure drop analysis are summarized below:

            Component               AP (in. H^O)

            Vaporizer                0.151

            Superheater              0.138

            Dryer                    0.387

            Preheater                0.642

                 Total               1.318

The pressure drop is quite low, considering the high effectiveness of the unit.

PARALLEL FLOW PASSAGE STABILITY

Theory

       A computer program for preducting the hydrodynamic  stability of
flow in parallel passages was written.  The program has been used to
investigate the hydrodynamic stability of the two parallel flow tubes in the
dryer section of the steam generator. It was found that these passages
should be quite stable, with a damping coefficient in excess  of one.

       The  program uses the method of Quandt (Ref. 4) which is essentially
a perturbation analysis used to find the transfer function for the perturbation
in the water rate as a response to an input perturbation in the heating rate.
Quandt's result for the transfer function is:
                                   226

-------
           (4W./W.)
                                 -H(Ds  + Es +C)
                       s  [£(A+D)-  HD] + s[Q'(A + D) + 0(B + E) -  HE]

                       + [a(B + E) -  HC]
                                                                     (38)
where
             W  =  water rate, or its La Place transform

             g  =  average surface heat flux for the entire channel, or its
                  La Place transform

             H  =  steady state change in coolant enthalpy as it flows through
                  the channel
   A, B,  C,  D
       E, a, ft
parameters which depend on the unperturbed conditions in
the channel.  One of the main functions of the program is
to evaluate these parameters
              i  = at the inlet to the heated passage
        Each parallel flow path is idealized as shown below
   (Constant
   Pressure)
                             Heated Length
                 INLET
                               EXIT
                                           (Constant
                                           Pressure)
The heated passage is connected at both ends to manifolds which are main-
tained at constant pressure.  There are unheated inlet and exit lengths
connecting the heated passages with the manifolds.  Quandt indicates that
fluid friction, entrance losses to the heated channel, and mass inertia of
the fluid are important terms in the entrance length pressure drop.  However,
exit losses from the heated channel are important in the exit length pressure
drop.  The exit pressure drop is a function of exit losses  only because in
many cases the flow either discharges directly into a plenum or into a large
                                   227

-------
diameter pipe which later joins the effective exit plenum.  Exit friction,
elevation, and time acceleration losses are not included since these are
usually very small and the time lags associated with large steam volumes
are usually  much longer than the transients which are of interest in the
stability analysis.

       Although the  inlet enthalpy is considered to be constant, the  flow
is assumed  to be perturbed in such a way that the resistance time of the
flow in the channel is very small when compared to the time scale of the
transients considered.  If this  is the case,  then
            AW =  AWt  +  (AWe - AW^-^                            (39)

            Ah  =  Ah  --'                                            (40)
                                                                     (41)

where      z  =  distance from the inlet of the heated channel

            L  =  length of heated channel

           z1  =  a weighted distance through the heated channel

            e  =  at the exit of the heated passage

            i  =  at the inlet of the heated passage

With the assumptions described above, it is possible to make a linearized
perturbation analysis, with the end result as shown in equation (38);

       The computer program input  consists of sufficient information to
completely define the flow passage geometry,  the state of the fluid within
the passage, and the friction loss pressure gradient within the passage.
This information consists of specific volume as a function of enthalpy, in
the form of a table consisting of two  corresponding vectors  [(vl» ni)>
(v£, 1*2), (v.,, h^). . . . (vm, hm)]  , enthalpy as a function of distance through
the heated channel in the form of two corresponding vectors,  loss factors
at inlet and exit,  channel areas,  friction loss factors for  the heated channel,
areas for the inlet, main, and exit channels, lengths for the inlet and the
heated channels,  and the steady state flow rate. The program incorporates
an interpolation subroutine  which allows functional values to be determined
given a value of the independent variable and its functional dependence
expressed in the  form of two corresponding vectors.  For instance, for a
value of v between v^ and v, above, the subroutine will interpolate the value
of h which is between t  and h.
                                   228

-------
        The program assumes that in the liquid and vapor phases,  friction
pressure drop can be described by the usual Darcy-Weisbach relation,  while
in the two phase regime it can be described by the method described in
Appendix VI.   The function f, of Appendix VI is input as a function of quality
in the form of two corresponding vectors.

        In the  liquid and vapor phases, the  interpolation of specific volume
as a function of enthalpy is quite  straightforward.  In the two phase regime,
Quandt  recommends the following "fog flow" model for calculating specific
volume and the partial  derivative of  density with  respect to enthalpy.
where
where
            v =  VL  f XVLG
            v =  specific volume (=l/p )

            x =  quality
                                                          (42)
           L

          LG
     liquid phase


     change associated with change from liquid to vapor phase

            R/ 1   -R  \
       x-    I 1  - •«.„)
            P =
                 VG
                                                         (43)
            P =  average static density

          R,-, =  void fraction
           O

            G =  gas phase
           _    _   -2
                                                         (44)
The void fraction, R ,  is determined from the method suggested by Yamazaki
and Shiba (Ref.  11) where
                                                                     (45)


                                                                     (46)
•where
X  =  liquid-vapor volume flow rate ratio
                                   229

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       The program itself is primarily a straightforward evaluation of the
parameters A,  B, C, D, E, Of,  and ft , as shown in Equation (38) and in
Quandt.  These parameters in turn depend on the channel geometry and loss
factors and on six integrals of fluid properties and pressure gradients, as
shown below:
          D =..L/2gcAf
                                                          (47)
          A  = D + L./gc A
                         fi
                                                          (48)
B,!^(^U-X-1+K.
          M s Ke
                                              fi'
        + M * !
                                                                    (49)
                                                                    (50)
C  = -
                  (W/A) M
            f; M  /dv''

                                 .I +    I
                                   2      3
                                                         (51)
               Wv M
                   n
                c  f
                                                                    (52)
                   W
                                                                    (53)
               -I.
                                                                    (54)
                  L        f
                  L _2_(	L
                    aw \ az >
                       --  dz
                                                         (55)
                      if T-  dz
                                                                    (56)
   =  f  J^  fl
     •^   ^>i   T.
                            dz
                                                                    (57)
                                   230

-------
           I  B/-L  _JL  U-ilJi  dz                               (58)
            4  y     aw  \ az /  L
               o
                       T  dZ                                        (59)
                o
 /•L  _ah  z    dz
./     az  L
                 •L
            6
               o
where
            g =  acceleration due to gravity, 32.2 ft/ sec

           g  =  gravitational mass-force-time conversion constant, 32.2 ft
                 Ibm/sec2 Ib

           Ar =  flow area of heated channel

           L. =  inlet channel length

          A£- =  flow area of inlet channel

          A£  =  flow area of exit channel

            F =  Darcy-Weisbach friction factor

           K^ =  entrance loss factor for heated channel

          Ke =  exit loss factor for heated  channel

       5P£/5Z =  pressure gradient due to friction losses

              =  density

All of the integrands in I, through L. can be  determined as a function of z,
the position in the channel,  so the numerical evaluation of the integrals is
quite straightforward.  The program uses Simpson's rule.

       With the integrals I through I,  and the parameters A, B, C,  D,  E,
Q, and /S determined, it is possible,  through examination of equation  (38)
to determine any of the properties  of interest which are  usually considered
in the study of a second order system,  such as frequency response, steady
                                   231

-------
state gain, step function response, natural frequency, and system damping..
A study of these factors and how they change with changes in the system
geometrical and thermodynamic  inputs is often much more informative than
any number of particular solutions could be. The program determines steady
state gain, undamped natural frequency,  and the system damping coefficient.

       From  SL knowledge of La Place transforms,  the transfer function can
be written in the generalized form as:
          (  A Wi/Wi )          K
                <§ )         S2 + 2 /7 w  S + a> 2
Rearranging Equation (38) into this form gives:
                      + D)-HD                                       (61)

                    a(A +D) +^(B + E) - HE
                                                                     (62)
                2y[a(B + E) - HC] [£(A + D) - HD]


           G  ~ a(B + E) - CH                                          (63)

where
           w   =  undamped natural frequency

            77 =  damping factor

            G =  steady state gain
                   I
Chugging

       The phenomenon called "chugging" is associated with a diverging
oscillatory response, that is, with the damping coefficient in the range

           -1 <  *7 < 0                                              (64)

The conditions for which this can occur can be determined from a study of the
denominator of equation (38).  Beta is always positive for a heated channel,
and A and D must  always be positive.  The first term in the denominator of
equation (38) must therefore be positive.   The "chugging" stability boundary
is therefore defined by the conditions causing the bracket  multiplying s in the
denominator of equation (38) to become negative.

       The second bracket of Equation (39) may be rearranged to the form

           a-(A + D) +/9B + E(£- H)                                   (65)

                                 232

-------
Q is always positive, so the first term is always positive.  An examination of
equations (49) and (55) shows that high inlet losses tend to  make ft more
positive,  thus stabilizing the flow. Friction pressure losses also stabilize
the flow.  The fact that inlet losses tend to stabilize the flow suggests why
orifices at the inlet to  parallel flow passages are frequently mentioned as a
means of  eliminating chugging.  An examination of equations (52) and (58)
show that E must always be positive,  and that high exit losses and high friction
pressure  losses tend to drive E more positive.   This is not necessarily a
stabilizing factor, however, since E multiplies the term (ft- H).

       It  seems that in practice, the only -way for a chugging response  to
develop is for /Jto become small,  so that the  stabilizing effect of the ftB term
is  minimized while the E()9- H) term may become negative.  Equation (54)
shows that this  can happen  if the integral Io, which is always negative,  has a
large absolute value.   The  absolute value of 1^ can become very large if there
is  a substantial  region of flow in which the quality is low, as is shown by
equations (57) and (44). This is especially true if the pressure is low,  so that
VLG *s ^ar§e» as *s shown by equation (44).  A large degree of subcooling
tends to accentuate all the above effects,  because it increases the value of
the weighting multiplier z'/L in equation (58)  for regions of low quality.  All
of  the above  trends have been observed in operation of the present test bed
boiler, as has been discussed in Section 6 of  this report.
       As seen from the above discussion,  the best way to avoid chugging is
to ensure that there is  some quality at entrance to the parallel flow passages,
If this is not practical, the flow can always  be stabilized if the inlet loss
factor is made sufficiently high.

       The dryer tubes were used as a test case for the stability program.
The approach taken was to design for very high quality at entrance to the
parallel flow passages  of the dryer, as shown in Table XI.  The  stability
results from the computer run are  shown in Table XI.

       As shown, the value of  rj is  greater than one, that is,  the system is
critically overdamped.  For such a system, dynamic response to any
oscillatory input over the  entire frequency range is  quite poor.   Calculations
indicated that the dryer tubes  in the improved test bed unit would not exhibit
any tendency toward chugging.

       The reason for  the high damping coefficient in the dryer  tubes is
evident from a study of Table XI.  The  high value of the quality at inlet
to the dryer has kept the absolute value of the integral I_ quite small, thus
allowing ft to become large enough so that the  damping coefficient becomes
strongly positive.
                                   233

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                     TABLE XI




COMPUTER STABILITY RESULTS - DRYER TUBES
           L  =  -3.902 x 104 Ib secAbm ft2




           I2  =  -11. 579 Ib lbm/ft2 BTU




           I3  =  -0.12847 Ibm2/ft2 BTU




           I4  =  -3.917 x 104 Ib secAbm ft2




           I5  =  22.17 lbm/ft2




           Ig  =  195.63 BTUAbm




           A = D = 507. 2 Ib sec2/lbm ft2




           B  =  3.134 x 104 Ib  secAbm ft2




           C  »  1.8854 x 105 IbAbm ft2




           E  =  5. 662 x 104 Ib  secAbm ft2




            a  =  2173 BTUAbm sec




            ft =  368.2 BTUAbm




          
-------
APPENDIX IV
     235

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                                   BURNOUT
        The vaporizer is ordinarily required to produce dry working fluid at consider-
able superheat.  This means that at some point in the unit the quality will become so
high that there will be a transition from nucleate to film boiling, with its character-
istic drastic  reduction in fluid side heat transfer coefficient.  Flame temperature in
the combustor is ordinarily above the melting point of most high temperature alloys.
It is obvious  that the location of the point of departure from nucleate boiling must be
accurately predicted and carefully controlled in order to prevent disastrous failure
of the tubes.

        Design approach used here in the  high  efficiency steam generator is
 to place the vaporizer closest to the combustor,  using it to substantially
 cool the combustion gases  and thus protect the superheater tubes.  Burnout
 in the vaporizer section is prevented by ensuring that the vapor leaving the
 vaporizer is quite moist over the  entire 40 to  1 turndown ratio.  The transi-
 tion from nucleate to film boiling takes place in the  superheater coils,  in
 a region where  gas temperatures  are quite low.
        The departure from nucleate boiling has been estimated by a combination of
four different methods.

        The first  of these was a simple estimation of the changes in types of two
phase flow in the vaporizer. According to Tong (Ref. 2), page 147, the departure
from nucleate boiling is associated with a 'drying out" of the liquid film on the wall.
A transition from  annular to dispersed flow as the quality increases is therefore likely
to cause burnout.  Flow rate per unit area should be chosen so that the flow is annular
throughout the vaporizer, if at all possible.

        The type  of two phase flow existing was determined by the method of Baker
 (Ref. 12). A good description of the various types of flow discussed by Baker is given
on page 170 of Reference 13.

        The second method was to simply estimate the vapor velocity.  Bennett, et al.
 (Ref. 7) found that steam velocities in excess of 50 to 60 ft/sec tended to create  suffic-
ient splash and wave action to literally blow the liquid film off the  wall. Mean vapor
velocity is estimated from:
                                      237

-------
                   LrXV
            Vv =
Where G is the total mass flow rate per unit area, x is the quality,  Vv is the specific

volume of the vapor phase, and a is the void fraction.  The void fraction was estimated

from equation (4) of Yamazaki and Shiba (Ref.ll),
                 1

             "= 2
                                                                             (2)
where Rv is the volumetric flow ratio,  given by




                ''         '
        The third method was the Westinghouse Atomic Power Division Correlation

for critical enthalpy rise presented by Tong,  et al.  (Ref.14).  If the water is assumed

to enter the vaporizer as saturated liquid, this correlation gives the critical quality as:
                                                                             (4)
                               n -17De  -1.5G/106
            x   .  =  (0.825 + 2.3e     )e
             crit



                      n ,,  -0.0048L/De       1.12       n r/io
                     -0.41e             -	7	   +  0.548
                                           (v /v  )
                                             v  L



Where De is the tube diameter in inches L is the tube heated length, and G is in
                 (\
units of Ibm/hr ft .



        The fourth method was correlation presented by Tippets (Ref.10).  This

method has a solid theoretical basis and is probably the most reliable of the four.

When Tippets' equations (35a) and (35b) are combined with information about the two

phase friction factor presented on page 81 of Tong (Ref. 2) and in Yamazaki and

Shiba (Ref.ll),  there results
                             \7/4
                                      238

-------
                          0.667 
-------
APPENDIX V
     241

-------
        A MODIFIED VERSION OF THE TIPPETS BURNOUT CORRELATION



        The original correlation presented by Tippets is


             qc = ^j—                                                    (1-1)


                         a PL  (1+  PL/PV)
with         ^ -	^—r-                              (1-2)
                                  PL
                     \   i-V   PV
and          «  -  //n v	:	                                    (1-3)
         The two phase flow friction multiplier, 0-ppF' and the two
factor, fw, are related to the two phase pressure drop by
            'dp\        "TPF "F
             dL/
                                                            (1-4)
TPF       * "L "
         Tippets determined the constants in his correlation by using the method of
Martinelli and Nelson (Ref.  8 ).  Their equation is


                                      1.75 ^2
                                 It   Vl     t/1                               ft C\
                                 \    "^7     ^^                               \   7
               /TPF    \^/LO              L


where 0y is defined by

                      n \       / Hn \
                                                                            (1-6)
                                       243

-------
         Yamazaki and Shiba (Ref.ll) present a very useful empirical relation for
                           7/8
             ,  =  (1 - a)                                                     (1-7)
            /dp\       G      LO
But»        br~    = T-T- ~7T                                             (i-s)
Combining equations 1-4 through 1-8 gives




             ,     ,     'LO  /i-x7/4

             *TPF *F  = ~  \T


When this is substituted into (1-2) there results



                               ?/4
               =  Bi  +
                            0.667 cr (1 + (v /v  ))

                                          - - —                          (1-11)
when a is in Ib/ft, G2/gcPL is in psi, and D is in inches.  Equations (1-10) and (1-11)

are equations (6) and (7) of the main body of this report.



         Substituting equation (1-9) into equation (1-3) yields




                          ft Y
                  1+[1 + C  X
                      B
                       2' 1 -Q/



                                  1/2
Equations (1-12) and (1-13) are equations (8) and (9) of the main body of this report.
                                       244

-------
APPENDIX VI
     245

-------
        GENERALIZATION OF THE MARTINELLI-NELSON METHOD FOR
                 ESTIMATING TWO PHASE PRESSURE DROPS
        Martinelli and Nelson' (Ref. 8) method for two phase pressure drop depends
on their observation that the friction pressure drop can be described by the following
equation.


            (If)     -(£)   •'<".»
            \  * /TPF   \°  /LO

Integrating equation (1) from inlet to exit
                                                            i, P)dZ      (2)
             z.                                        z.
If the absolute pressure is nearly constant, and the heating is uniform,

            x =  A +K(Ze-Z.)  •                                         (3)

where            x  - x.                                      .
            K =  -~                                                   4
                  e    i

then              J        (Z  - Z.)
                  dx         s    i
            dz  = ¥  = fc IT^o
                             6    1

Substituting equation (5) into equation (2)
                                       V
                                                          AP
                           LO   e   i  Jx  P = const       e    i
                        Y
                        A
J(x,  P) dx

  P = const
        247
                                                                       (6)

-------
If           Z.  = 0  = x                                                  (7)
              11



then equation (6) reduces to



                  'AP,



                       LO /     .    "e  I   P = const
    j<
„  p-
                     T'P'R

            f  =  -	= —      J(x'  P)dx
The function f-, is presented in tabular form by Martinelli and Nelson (Ref. 8).



Rearranging equation (8)



              r


              J(x, P) dx =  x f                                           (9)


             0
Now
            y        T        y
            7f(x)dx  =  / f(x)dx -  I :
           ^a        J 0         J 0
                                     f (x) dx                              (10)
Substituting equations (9) and (10) into equation (6) gives




            AP
               TPF
             APLO             Xe-Xi



Equation (11) was used to predict two phase pressure drop in the dryer.
                                     248

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                  APPENDIX VII

 TEST BED STEAM GENERATOR CORE ANALYSIS
Appendix VII was prepared for Solar by Geoscience
Ltd. to provide a core analysis of the parallel flow
steam generator (test bed unit) described in Section 6,
                       249

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                                                     GLR-95
     VAPOR GENERATOR TECHNOLOGY SUPPORT

FOR SOLAR DIVISION OF INTERNATIONAL HARVESTER
                  (PO 3739-32134-FO3)
                      C. M. Sabin
                   H. F.  Poppendiek
                     G. Mouritzen
                     R. K.  Fergin
                   GEOSCIENCE LTD
                 410 S. Cedros Avenue
             Solana Beach, California 92075
                          251

-------
INTRODUCTION

      All of the vapor generators presently under development or being
proposed for use  in mobile Rankine cycle engines are of the forced-convection
once-through type.  Such vaporizers receive subcooled or saturated liquid
at the inlet of a continuous tube, and discharge dry,  superheated vapor from
the outlet.  In steady state operation, the flow past each point in the vaporizer
is described by a fixed vapor quality.  Typical flow regimes in such a vaporizer
can be (in order,  from inlet to outlet); (1) all liquid;  (2) a foamy, quasi-
homogeneous mixture of liquid and vapor; (3) separated annular flow with
liquid on the wall and vapor in the core;  (4) wetted liquid rivulets or droplets
on the wall, wet or dry vapor in the core; (5) film boiling droplets; (6) fog
flow;  (7) vapor superheating.

      This  sequence of processes does not appear in every vaporizer.  In
some cases,  flow regimes listed do not occur, or are replaced by others.  A
number of transition processes can occur which fall  in between the flow regimes
listed above.

      The preheater-vaporizer-superheaters to be designed for the low emission
burner are intended to accommodate three distinctly different fluids;  pure
water; Fluorinol-85, an  organic-water mixture; and  PID Fluorocarbon*, a  pure
organic. The first two of these liquids are to be vaporized and superheated,
while the third will be exited from the heat  exchanger in a super-critical con-
dition, so that no change of phase takes place.

      The two fluids containing organics are, of course, restricted in their
temperature, so that careful control of the  interior -wall temperature and heat
flux distribution throughout the heat exchanger must  be  maintained to prevent
fluid damage.

      The heat exchanger units are subject  to a number of design constraints
other than those imposed by fluid properties. There are restrictions on total
heat exchanger volume,  and on the shape of this volume, on pressure drop,
and on weight.

      In order to  originate the most optimum vapor generator designs,  and in
order to verify predicted performance in the laboratory, certain support
studies  must be performed. Those being investigated are briefly summarized
below:

      1. Test and prototype instrumentation for vaporizer temperature and
        pressure control.

      2. Flow changes  during power level transients.
*PID was the original working fluid in the Aerojet system.  This was replaced
 by AEF-78  at a later date.

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      3.  Radiation transfer between combustor, vaporizer and gases.

      4.  The effects of nonuniform gas temperature distribution on the
         vaporizer performance.

      5.  Performance of the vaporizer at reduced power levels.

      6.  Influence of duct geometry and possible inserts on working fluid heat
         transfer.

      7.  Prevention of vaporizer tube overheating by temperature monitoring.
SUMMARY

      Geoscience "s support role in the subject program consists of two study
areas, (1) vapor generator design, and (2) heat transfer and fluid flow support
for the vapor generator-combustor system.   The vapor generator design work
consists of parameter investigations of the relationships between the fluid
properties and the  requirements imposed on the vaporizer by  other components
of the power system.  Three different working fluid types and a wide power
level range  are specified. The support studies are principally concerned with
the coupling between the combustor  and vapor generator; questions involving
instrumentation, power transients,  radiation transfer, nonuniform gas tem-
perature distribution,  vaporizer performance variation with power level, tube
geometry effects,  and working fluid overheating are being  considered.

      During the last quarter,  Geoscience's work related to five different tasks:
(1) the design of the test bed vapor generator to be used with water as a working
fluid; (2) the prediction of part load  performance of the test bed water vapor
generator, (3)  the parametric design study of a Fluorinol-85 vapor generator;
(4) the analysis of peripheral heat flux in vaporizer tubes;  and (5) radiant heat
exchange analyses.  The  results of these studies are presented  in this report.
DESIGN STUDIES

Test Bed Water Vapor Generator Design

      A test bed water vapor generator has been designed for use with the
Solar combustor.  The conditions and constraints to which this design was
subjected in order to meet the objectives of Solar's combustor  development
program are presented in Tables I  and II.

      Because of the  lack of space in which to install flow transition sections,
the vapor generator cross-section should match the size and shape of the
                                   253

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                                    TABLE I
                          OPERATING CONDITIONS
                 Combustion Side:
                     Air flow
                     Air-fuel ratio
                     Combustor outlet temperature
                     Heat release In combustor

                 Water Side:
                     Inlet temperature
                     Outlet temperature
                     Outlet pressure
             1.0 Ib/sec
             26 to 1
             2500 "F + 250 "F
             2.5 x 10  Btu/hr
             250 °F
             1000 °F
             1000 psia
                                    TABLE II
WATER TEST  BED VAPOR GENERATOR DESIGN CONSTRAINTS
     Physical Maximums:
         Core diameter
         Core length
         Tubing weight
         Tube wall tempcraUu e
         Water side pressure drop
         Air side pressure drop

     Other Constraints:
         Plain tubing without extended fins
         Essential!;/ :'••.?. K;;.71.  air sH-= pressure drop and flow distribution as an
         optimum system
         Thermal efficiency 80 percent or greater baaed on fuel HHV
21.5 inches
Unspecified, preferably less than 8 inches
110 Ibs
1200°F
250 psig
3 inches of H O
                                        254

-------
combustor outlet as closely as possible and, since the combustor outlet is
circular, this cross section was chosen for the heat transfer matrix.  The
vapor generator diameter was enlarged from the 18-inch diameter of the
combustor to the maximum allowable 21.5 inches,  however,  so that a short
adaptor will be required.   The gas  side pressure drop is a strong function of
frontal area and the pressure  drop  requirement could not be met with an 18-
inch diameter matrix.  A matrix made up of a  stack of flat-wound spirals
was chosen, with the combustion products flow parallel to the spiral axis.

      The water-steam side heat transfer conductances in a unit of this type
are relatively high, and the controlling heat transfer resistance is on the gas
side.

      Plain, unfinned tubing was a necessary choice for this heat exchanger
in order to  avoid the delays associated with special procurements and,  since
the pressure drop associated with a given heat transfer rate is usually higher
for bare tube banks than for-extended surfaces, a careful consideration of the
heat exchange matrix geometry must be made.

      There are a number  of criteria by which a candidate heat exchanger sur-
face configuration can be judged for a particular service.  For the present
purpose, where volume and pressure drop constraints are both important,  the
configuration must, when compared to others,  have a high heat transfer con-
ductance, a high heat transfer area per unit of volume, and relatively low fluid
friction.  A figure  of merit for comparison of heat  transfer configurations is the
ratio of friction factor to Stanton number.  This ratio, which related the
momentum  transfer to the heat transfer for a given heat transfer rate.  The
lower is this ratio,  the more effective is the configuration in utilizing momentum
losses to enhance heat exchange.

      Data for several staggered tube arrays in cross flow are presented in
Table III , based on data taken from Reference 17.  It may be seen that
configurations 2 and 3 are the  most compact, ana that number 2 has the highest
conductance and lowest friction factor.  The friction factor-Coiburn modulus
ratio is by far the lowest of the six  configurations listed.  Configuration 2
appears  to be the most attractive for the present purpose.

      The tube diameter has a strong effect upon the heat transfer area per
unit of volume, and in the heat transfer conductance.  For the configuration 2
of Table III , which has  tubing on a 1.25 diameter  spacing in both the trans-
verse and longitudinal direction, calculations have  been made for the change
in these  parameters as functions of tube size.  These  data are presented in
Table IV.   Since a circular cross  Section arrangement adapts most easily
to the combustor, a staggered tube  matrix made up of flat spiral coils  is
the geometry of choice.   Therefore, the length of tubing in a flat coil of each
.tubing diameter  is  also shown  in Table IV.  It  is clear that from considerations
                                    255

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                                TABLE III
          SOME CHARACTERISTICS OF PLAIN TUBE ARRAYS
                        OF STAGGERED  TUBES
           (Data Taken From Selected Figures in Reference 17)
Configuration
Number
1
2
3
4
5
6
Spacing
Longitudinal Transverse
Inches Inches
.468 .563
.468 .468
. 375 . 563
.563 .563
.375 .750
.282 .938
Beat Exchange Area Per
Cubic Foot of Volume
ft2
53.6
64.4
67.1
44.8
50.3
53.6
Heat Transfer Conductance
Btu/R2-F
34.6
46.1
36.2
32.4
35.3
38.2
Friction
Factor
.080
.051
.082
.079
.140
.124
(h/Gcp)pr2/3
4.5
3.5
4.3
4.7
6.1
5.7
                             TABLE IV
   EFFECT OF TUBE DIAMETER UPON MATRIX PARAMETERS FOR A
        STAGGERED TUBE ARRAY WITH A 1.25 DIAMETER GRID
Tube Diameter
Inches
1/4
3/8
1/2
5/8
3/4
Mini'num Kiov Area
:Y;.::t;:t Arer.
•:>.?.
0.2
0.2
0.2
0.2
Hea', 1 Vansfei Area
Pfu U'-it Volume
f -'/f*3
96.6
64.4
48.3
38.6
32.2
H«:it Transfer
Cou'luctanci:
Btu/ft^ hr °F
5f.
4ii
41
38
36
Tubiug Spacing
Inches
.312
.468
.625
.781
.937
Turns in Spii-al
Coil
21.5 in. O.D.
29.6
19.8
14.8 .
11.9
9.9
Length r,f Spir .
21.5 in. O. E
Indies
1)62
775
580
4G4
387
;>f overall heat exchanger volume,  the smallest possible tubes are the best
choice,  since  the product of heat transfer area and conductance is maximized
by the small diameters.  However, the internal pressure drop also must be
considered, and to a first approximation it changes inversely as the fifth
power of the tube diameter.

     The choice of one-half inch diameter tubing allows the heat exchanger
to fit into the required volume, and the water-side pressure drop can be brought
                                  256

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 within the required limit with a reasonable number of parallel passages in
the vapor phase and two-phase regions of the vapor generator.  A choice of
smaller tubing would require such a large number of parallel passages, that
the flat spiral coil arrangement would have to be abandoned in favor of the
more easily manifolded rectangular cross section arrangement, with tube
sheets. A choice of larger tubing would decrease the number of flow passages
somewhat, but could not reduce the system to a single flow channel within the
desired total volume, because the amount of heat transfer area per unit
volume decreases rapidly with larger diameter tubing.

      The simplest arrangement of flat  coils from the point of view of flow
passage interconnections is the counterflow arrangement,  in which the com-
bustion products enter the matrix from  the same end the superheated steam
exits.   This is, however, an intolerable geometry, since superheater wall
temperatures would exceed 1200°F by a significant margin even in steady
state.

      The internal flow passage must, therefore, be modified to reduce tube
wall temperatures.  A more sstisfactory geometry has the vaporizer first,
the superheater next, and the preheater last, when listed in the direction of
combustion products flow.  With this arrangement, the first rows of the
matrix, which are immersed in gases near 2500°F, then contain boiling
water at a relatively low temperature (~550°F) and very  high internal heat
transfer conductances,  so that the wall  temperatures are far below 1200°F,
and the last tubing in the superheater, which contains 1000°F vapor with
relatively low heat transfer conductances (compared to boiling) is immersed
in much lower temperature combustion  gases.  This water flow path, which
places the superheater  section between  the vapor section and preheater
section, is the arrangement of choice.

      Forced convection boiling systems, which receive  saturated liquid at one
end of a passage and discharge dry or superheated vapor at the other all have
some location along  the passage at which the wall is  no longer covered by a
liquid film. At this  location the conductances  on the vaporizing surface change
from those characteristic of boiling to those characteristic of gaseous heat
transfer,  a decrease which can be several orders of magnitude.  For fixed
conditions the location of this point can be established with tolerable precision.
However,  in a boiler which will be subjected to sudden and rather large changes
in operating power level,  the location of the end of the liquid film can be expected
to move significant distances  upstream  or downstream, and the abrupt change in
wall temperature associated with the conductance change will also move.  In
order to avoid potential problems, the expected location  at which the liquid
film ends  has  been placed in a location of relatively low heat flux.  This is
insured by two means.  First, the vaporizer coils have been arranged so that
the flow from the preheater enters the coil adjacent to the combustor,  and the
vaporizer is operated in cross-parallel  flow.  Second, the vapor exits the


                                   257

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vaporizer and enters the superheater with a significant amount of moisture,
so that vaporization takes place in the superheater under design full  load
conditions.
       Based on the  considerations given and detailed calculations of the
requirements for each of the three sections (preheater,  vaporizer,  super-
heater),  the water test bed vapor  generator thermal and hydrodynamic
design was established.
       The physical  description  is  given in Table V.  A schematic diagram
of the flow paths is shown in Figure  1.
                                    TABLE  V
        PHYSICAL CHARACTERISTICS OF THE WATER TEST BED
                              VAPOR GENERATOR
                                       21.5 Inches
                                       6.25 Inches
                                       62ft2
Dimensions Overall:
    Matrix diameter
    Matrix thickness
    Heat transfer area (outside)

Geometry:
    Flat spiral coils arranged with axes parallel to combustion products flow
    direction
    10 flat coils; 2 in vaporizer,  3 in superheater, 5 In preheater
    Preheater and superheater, cross-counterflow; vaporizer, cross-parallel flow
    Tubing arranged on a 1.25 tube diameter staggered grid when viewed on a
    radial cut through core
    Tubing 1/2-inch outside diameter by 0.035-Inch wall thickness
    6 parallel passages in vaporizer and superheater; one passage In preheater
Pressure Drops
    Combustion products 2.6 inches of water
    Water                      175 psi
         Water Design Flow Rate:
         Weight of Tubing:
         Weight of Water Hold Up:
         Design Power Output:
                              1525 Ibs/hr
                              106 Ibs
                              30 Ibs.
                              2 x 106 Btu/hr
                                         258

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             VAPORIZER
                      SUPERHEATER
                                       PREHEATER
             C PARALLEL
             PASSAGES
     « PARALLEL
     PASSACES
                                      SINCLE PASSA6E
 COMBUSTION
 PRODUCTS
 INLET
                   MOIST
                           VAPOR
                                                    TCcTs OF COILS
                                                                SUPERHEATED VAPOR
                                                                SUBCOOLED VAPOR
SATURATED LIQUID
(MANIFOLD WITH ADJUSTABLE
 PRESSURE DROPPING ORIFICES )
         FIGURE  1.
     SCHEMATIC DIAGRAM OF WATER FLOW PATH
     THROUGH VAPOR GENERATOR
      This design could be improved significantly (although not necessarily
optimized), by the use of extended surfaces in the preheater.  The total
length of tubing in the exchanger could be reduced by at least one third, so
that water hold-up volume,  water-side pressure drop, and possible gas-side
pressure drop could be reduced.  There would probably not be a great
reduction in metal weight, however, since high temperature resistant
materials would have to be used for the fin material.

Part Load Performance of the Test Bed Water Vapor  Generator

      The part load performance of the test bed water vapor generator has
been computed for the  range of operating levels between full load and idle
(2.5 percent of full load).  The calculations were performed with the ideal-
izations that neither the water inlet and outlet conditions,  nor the combustion
products inlet temperature change over this range.

      As the power level is  decreased, a larger portion of the total heat is
transferred in the first two  coils (the  "vaporizer section") of the matrix.  As
a result, there are significant shifts in the location of the vaporization
process over the  power range.  However, no operational difficulty  should be
encountered because of these shifts.

      The heat exchanger effectiveness of the  water vaporizer as a function of
combustor load is shown in Figure  2 . As expected, the effectiveness
increases rapidly as the power level decreases.  The  thermal efficiency,
based on the lower heating value of the fuel and a 908F air stream into the
combustor is also shown.  The efficiency is necessarily lower than the
effectiveness because the water inlet temperature is above the assumed
                                    259

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                IOO
                 90
                 SO
                 70
                                rrEJtliw
                                     ENCU*
                                           I MEAT
                                            IHftf TIUMFEimeD W 1
                                            AM INPMMTK CXCHANMRj
       2O       4O       CO
     FCKEMT OF COMftUfTO* Of tWN
                                                       «O
100
      FIGURE  2
TEST BED WATER VAPORIZER PERFORMANCE
AT PART LOAD
combustor inlet air temperature.  The higher the water inlet temperature,
the lower the efficiency will be.  At 250°F water inlet, and 90°F air inlet to
the combustor, the thermal efficiency of an infinitely large vaporizer would
be 94 percent.  The two curves in Figure  2  approach 100 percent and 94
percent at zero power level.  They are, however,  not simple curves in the
region below 2. 5 percent  of full load.

      There is  a  strong influence between  the water-stream flow path through
the heat exchanger and the performance of the superheater at part load.  At the
design load, approximately 26 percent of the  total  heat flow is in the super-
heater, while at idle load (2.5 percent of full power), the superheater trans-
fers only 3 percent of  the total heat.  At that  low power level,  the vapor
discharged from the vaporizer is already  at 930°F and, therefore, rises only
70eF in its passage through the superheater.  If the same vapor generator
were arranged in cross-counterflow from preheater through superheater (an
intolerable geometry at full load with unprotected tubing), the part load
performance would be significantly better.

      The temperatures of the two streams at various points in the vapor
generator are shown in Figure 3.   It may be seen that the  steam coming out
of the vaporizer (and into the  superheater) is saturated from the full load
power level down to about 45 percent of full power.  From this level on
down,  the vapor superheats in the vaporizer section.  At the design full load,
                                  260

-------
      FIGURE 3.
                    2400
                    3000
                 3

                 5  12 OO
                 a
                     • oo
                     40 O
                                COM* PROD INLtT TO VAP
-------
        Ul
          bi
          8
        U) tt
        t IU
        25
        t- IM
          0.
          3
I I OO
              IOOO
               900
                                1
                      1
                           20       4O       6O        «O
                         PERCENT OF COMBUSTOM OCSIGM FULL LOAD
                                                 IOO
        FIGURE 4.
         TEST BED WATER VAPORIZER TUBE WALL
         TEMPERATURE
      Base Design No. 1 was optimized to.obtain the smallest size vapor
 generator which could be designed to meet the pressure drops and temperature
 limits specified in the work statement.  Base Design No. 1 is not a conserva-
 tive design and was not recommended for construction.  Rather this design
 serves as a size reference for the smallest obtainable vapor  generator,
 from which the envelope may be expected to expant to meet practical con-
 siderations for a manufactured vapor  generator,  or to meet new limitations
 for Fluorinol-85.

      In the Fluorinol-85 vapor generator extended surfaces may be employed.
 However,  the stringent limitation upon maximum fluid temperature, com-
'bined with the  relatively poor heat transfer properties of the  Fluorinol (com-
 pared to water) limit the heat fluxes so that only relatively shallow fins may
 be utilized, and these only in portions of the  heat exchanger.   The temperature
 limit on the internal wall was established at 600°F for  Base Design No.  1.
 Because of the relative magnitudes of the gas side and organic side heat
 transfer conductances, some sort of heat flux limiting for the inner wall
 is required.  Two means  to accomplish this  end are to use internal fins in the
 vaporizer and  superheater,  which would increase the inside heat transfer
 area,  or to use external insulation.  The internal fins  used alone would
 increase the internal pressure drop significantly and would be more costly to
 manufacture in the spiral .coil tube design.  To compensate for the increased
 pressure drop, it would be necessary to use  about 12 parallel passages in
                                    262

-------
                                  TABLE VI
          CONDITIONS FOR FLUORINOL-85 VAPOR GENERATOR
        Specified Flow Conditions
            Combustion side:

            Fluorinol-85 side:
        Design Constraints
               Physical maximums:
Same as for Test Bed Water Vapor Generator
(see Table I).
Inlet temperature
Outlet temperature
Outlet pressure


Core diameter
Core length
Fluorinol-85 pressure
  drop
250 °F
550 "F
700 psia


21.5 inches
8.0 Inches
                                                         100 psi (50 psl
                                                           preferred)
                                      Air side pressure drop  3 inches of H O
                                      Tubing weight         110 Ibs
                                      Tubo wull tompuruturo  600°F

        Other Constraints:
            Full rated output from a cold start in 15 seconds
            Maximum fluid temperature shall be kept sufficiently low during transients
             to prevent decomposition
each coil of the vaporizer and superheater.   The external insulation requires
more coils in order to obtain the  same total heat transfer, but is a mechanically-
simpler alternative.  External insulation must be of fairly low thermal
conductivity,  two to three orders in magnitude lower than stainless steel.
This is clear,  since the insulation is added to the outside  of the tubes and
must be reasonably thin, otherwise the effective diameter of the tubing
increases so much as to cause a significant decrease in the inside wall heat
transfer area per  unit volume.
      Design Considerations.  Near the outset of the work on Fluorinol-85
Base Design No.  1, a configuration  similar to that of the water vaporizer
was chosen.   It was also decided to use the  same combustion side heat trans-
fer configuration wherever external finning was not required.
                                       263

-------
      For a given heat exchanger configuration, pair of fluids and inlet and
outlet flow conditions, the amount of heat to be transferred in the exchanger
is fixed, and depends only on the product of heat transfer area and overall
conductance.  The overall conductance,  which normally may be computed in
a straightforward manner from the properties of the two fluid streams and
the  wall, is used to establish the required heat transfer area.  However,  it
may be shown that the overall conductances computed in the normal manner
for  the Fluorinol-85 vapor generator lead to tube wall temperatures which
greatly exceed the temperature limit for the fluid throughout a significant
portion of the heat exchanger.  There is, thus, a heat flux limit imposed by
the  fluid temperature limit.  For example,  consider the superheater outlet
condition.  At this location the bulk vapor temperature is 550°F,  and the
maximum acceptable wall temperature is 600°F, so that the maximum
acceptable temperature difference, from wall to bulk, is only 50°F.  This
temperature difference,  combined with the  vapor side heat transfer con-
ductance, yields  a maximum acceptable  heat flux which is two to three times
smaller than that which is computed from the overall heat transfer conductance
for  a matrix containing plain metal tubing.  To avoid fluid overheating, the
local overall heat transfer conductance must be decreased to a value which
yields  a heat flux less than the maximum acceptable value with the existing
local temperature difference, i.e. ,  the heat flux must be tailored locally  in
the  heat exchanger.

      There are basically three approaches which may be utilized to accom-
plish this decrease in overall conductance,  which are:  decrease the outside
(combustion products) conductance,  decrease the wall conductivity,  or
increase effective organic side conductance.  The decrease in external con-
ductance is probably the simplest, but requires changes  in heat transfer
configuration which lead to very bulky heat  exchangers,  and this choice does
not  appear to be a useful one for the present application.  An effective increase
in the internal conductance may be accomplished by an unacceptably large
increase in pressure drop, or by increasing the internal wall heat transfer
area by use of extended surfaces.  Extended surfaces on the interior lead to
the  most compact heat exchangers, but have a significant effect on pressure
drop, are very difficult to obtain in materials  usable for the present purpose,
and may be impossible to form into spirals as required.  The third alternative
is to decrease the effective thermal conductivity of the tube wall, by the
addition of an insulating layer.

      In the case of Base Design No.  1,  the insulating layer approach  to heat
flux tailoring was chosen.  Although half-inch  outside diameter tubing with an
0.020-inch wall was used to perform the calculations involving the organic
side, the outside diameter used for the combustion products side calculations
was taken to be 5/8-inch.  Therefore, a one-sixteenth inch insulating  layer
on the  outside of  the tubes was visualized.
                                   264

-------
      With these choices, an insulation conductivity which yielded the
maximum acceptable heat flux (or 600°F internal wall temperature) was
specified throughout the vaporizer and superheater sections.  It was  found
that insulation was not required on the vaporizer first row (next to the com-
bustor),  nor on  the superheater first row (farthest from the combustor).

      The preheater does not require  insulation,  but may instead be finned
externally to increase the local heat flux (based on the bare tube surface
area). However, because of the relatively poor thermal properties of
Fluorinol-85 compared to water,  only  shallow fins may be used.   These
increase the external surface area by somewhat over a factor of three.
This increase yields preheater wall temperatures which are well below the
600 F maximum,  so that somewhat larger fins  could possibly  be used.
However, the design is constrained to  integral  numbers of spiral coils, and
a full coil could not be eliminated by increasing the fin area to bring  the wall
temperature to 600°F.

      As stated  previously, no insulation was specified for the first vaporizer
coil for Base Design No. 1.  There  are several reasons why a bare coil would
probably actually be unacceptable for this application.   For one example, at
part load, the location at which vapor superheating begins is expected to move
from the superheater into the vaporizer.  The organic vapor could overheat
under this condition.

      The Fluorinol-85 is to be vaporized at a pressure quite  near the critical
point, so that the latent heat of vaporization is  a relatively small portion of the
total heat added.  The density change upon vaporization is also relatively
small.  It is expected that the forced convection vaporization processes in
this heat exchanger will be modified enough from those  usually encountered
to warrant a rather conservative vaporizing section design.

      Base Design No.  1.  Some of the physical characteristics of Fluorinol-
85 Base Design  No. 1 are given in Table VII .   A flow diagram is shown in
Figure 5.  Under design full load condition the  vapor exits the vaporizer
coil with considerable moisture, and vaporization is completed in  the first
superheater coil.  This feature is similar to that in the water  vapor generator.

      The preheater is required to have four parallel passages in order to
control pressure drop,  while the vaporizer and superheater have six.

      The size and weight of this vapor generator could be further reduced by
extensive use of internally finned tubes but  this change would increase the
internal pressure drop.
                                    265

-------
                                    TABLE  VII
                        FLUORINOL-85  BASE  DESIGN NO.  1
   Vaporizer


   Superheater
   Preheater
   Pressure drops
   Axial length

   Computed thermal efficiency
   (based on LHV)
                  1 coil 1/2-inch O.D.  x 0.020 wall tubing
                  6 parallel passages.

                  4 coils in cross-counterflow,  6 parallel passages.  First
                  three coils  effectively 5/8-inch O. D.,  built up of 1/2-inch
                  O. D.  x 0.020-inch wall tubing.  Effective thermal con-
                  ductivity of insulation in each  coil is tailored to bring inside
                  wall temperature to 600°F. The fourth coil is bare 1/2-inch
                  tubing.

                  Two coils in cross-counterflow, 4 parallel passages.  The
                  tubes are 1/2-inch O. D. x 0.020 wall with shallow fins on
                  the outside  to give an area ratio (based on the bare tube area)
                  of 3.45.  Slightly larger fins could be used without exceeding
                  the wall temperature limit. However, a complete coil could
                  not be eliminated, and partial coils are unacceptable.
                  Fluorinol-85:  36 psi
                  Combustion products:

                  5.36 inches

                  80 percent
                                                           3.1 inches of HO
                                                                         2
    O.SI9 • I
FLUORINOL
     44O°F

— •»,
»*»TU






>^— -•«*-—
MM





~l
***;**+•





5,o-r
roots*
J

/
f
1
:
/


4





.

OO4
!
0 57
/
/
/
t
1
t '
f
                                          5 26
 FIGURE  5.
FLOW DIAGRAM OF FLUORINOL-85 BASE DESIGN NO.  1
                                             266

-------
      A significant decrease in structural complexity might be realized by
changing from the spiral coil configuration to a conventional rectangular
cross section matrix utilizing lengths of straight tubing.  Although this alter-
native would require a transition section between the combustor and vapor
generator, the tube interconnections, manifolding for parallel passages,  and
the construction of the matrix would be greatly simplified.   This change might
also make the use of internally finned tubing acceptable,  since the tubing would
not have to be coiled.
                                   267

-------
             APPENDIX VIII
Appendix VIII was prepared for Solar by Geoscience
Ltd to provide a core analysis for the organic vapor
generators described in Section 9.
                 269

-------
                                                     GLR-95
     VAPOR GENERATOR TECHNOLOGY SUPPORT

FOR SOLAR DIVISION OF INTERNATIONAL HARVESTER
                 (PO 3739-32134-FO3)
                      C. M. Sab in
                   H. F. Poppendiek
                     G. Mouritzen
                     R. K. Fergin
                  GEOSCIENCE LTD
                 410 S.  Cedros Avenue
             Solana Beach,  California 92075
                          271

-------
SUPPORTING STUDIES

Methods of Controlling Wall Temperatures in Vapor Generators

       Because organic fluids in both liquid and vapor phases can decompose
(thereby adding thermal resistances to vapor  generator tubes), the wall
temperatures must be controlled. For fixed hot gas and working fluid
temperatures,  the inner tube wall temperature (maximum working fluid
temperature) can be reduced by a number of ways; several being considered
are:

       1.  Increase the working fluid convective conductance

       2.  Decrease the gas convective conductance

       3.  Add a thermal  resistance on the outer tube  surface

       4.  Combinations of items 1, 2 and 3

       An increase in the working fluid conductances can be best achieved by
using internal extended  surfaces, new boundary layer development, turbulence
promotion and rectangular ducts.  This method leads to increases in heat
flux and thus decreases in  heat exchange volume.

       A decrease  in gas conductances can be obtained by such limited pro-
cedures as operating under in-line rather than staggered flow conditions and
by increasing the heat exchanger matrix compactness with  some gas flow by-
pass.  This method, as well as the subsequent one,  yields  decreases in heat
flux and corresponding increases in  heat exchange volumes.

       The approach of utilizing added thermal resistance  at the outer tube
surface for the purpose of  reducing inside tube wall and •working fluid
temperatures has been reviewed.

       In specifying insulating  layers to be added  to the outside  of vapor
generator tube walls, it is  important to consider the relative arrangement of
the components involved.   Consider  a two-component system (one component
being a good thermal insulator).  Three different models  have been considered.
One model  is based on the  postulate  that the constituents are positioned in
laminae parallel to the heat flow; in  the second one the laminae are positioned
normal to the heat flow; the third one is based on the postulate that small
particles are uniformly distributed in a second component and that the
volume of all the particles  is small compared to the total (the  Eucken model).

       The results for the  three models are:
                                  272

-------
       Parallel Model:       k  =  k  (1  -  v) +
Series Model:



Eucken Model:
1 _
TT
k


1 - v^
ki
2£
i
_ i
+ "2
k2
- 1) + v




2 
-------
          1.000
          0.100
         0010-
             u
             j,
         0.001 •-"
             0
                                              Series Model
                                              Parallel Model
                                              Eucken Model
0.4       0.6
VOLUME FRACTION,
                                                   O.I
                                                             1.0
  FIGURE 1.   COMPARISON OF TRANSFER CONDUCTION MODELS FOR A
               TWO COMPONENT INSULATOR

Nonuniform Heat Transfer Considerations in a Vapor Generator Matrix

        1.  Radial and Tangential Gas Temperature Variations

        In order to be able to design and fabricate vapor generators that are
as compact as possible,  uniform combustion gas temperature distributions
at the vapor generator inlet must be realized.  Otherwise,  the design must
be based on minimum gas temperatures yielding larger heat exchanger
                                   274

-------
matrices.  Nonuniform gas temperature fields can result fron nonuniform
air and gas velocity fields or nonuniform fuel droplet addition to the air flow.
A number of idealized convection models have been outlined that can be used
to bound such temperature differences in the combustion gases at the entrance
of the vapor  generator.  Variations in the velocity fields and the volumetric
heat sources are being considered; thermal and fluid flow boundary layer
development and jet mixing processes are involved.

       2.  Peripheral Tube Wall Variations

       For the water test bed vapor generator,  nonuniform heat rates  do not
pose a problem as the tube wall  temperaturs are well below the material
temperature limits and water does not present a decomposition problem.
However, for the vaporizer design for Fluorinol-85, nonuniform heat rates
require careful consideration as wall temperatures must be  controlled  to a
maximum of about 6008F  to prevent decomposition of the Fluorinol-85.   The
analyses include the review of nonuniform radiation and convective conductances
which control peripheral  tube wall temperature variations.

       Values for the peripheral variation of the convective  conductance are
available in the literature only for in-line tube banks,  single tubes or staggered
tube banks with large spacing.  However, by considering the probable effects
of the closer spacing, based on photographic observations,  a close approxi-
mation can be made by using stagnation values at the leading edge, based on
the maximum velocity through the minimum flow area  and then using a  flat
plate boundary layer convective  conductance variation  to slightly less than
90 degrees (except for the front  row,  which can be approximated by using the
stagnation value based on the on-flowing stream velocity and then using
boundary layer conductance values based upon changing freestream velocity).
Convective conductances  for the  rear half of the tube are approximated by
extrapolating from 90 degrees by use of profile geometry for cylinders  at the
same Reynolds number (based on the maximum velocity and tube diameter).

       In view of the above discussion and the geometry of the tube bank, the
maximum heat flux is believed to occur at the leading edge of the second row
of the tube bank where both the convective conductance and radiation total
shape factor  are at their  maximum values (although the leading edge of  the
front row in the tube bank has a higher total shape factor for radiation,  when
considered with the convective conductance, the flux is not as great as  in the
second row).  Figure 2 shows a typical convective conductance distribution
for which wall temperature  profiles are to be calculated.
                                   275

-------
                 ! 6
                 1.4
                 I 2
                 0.8
                 0.6
                 0.4 .
                 02
                                       I
                                                 I
                             45         90        135

                                i, ANGLE TROM LEADING EDGE
ISO
  FIGURE 2.  TYPICAL TUBE OUTER CONVECTIVE CONDUCTANCE
              PERIPHERAL, VARIATION - TRANSITION REYNOLDS NUMBER
              RANGE - STAGGERED  TUBE BANK - INTERIOR TUBE

       The combined effects  of nonuniform convective conductance and
radiation will be used to provide design criteria for tube insulation or internal
finning in those  areas where tube wall  temperatures could exceed the allowable
decomposition limit for Fluorinol-85.  Radiation considerations are further
discussed in the following section.
                                   276

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Radiant Heat Transfer Considerations in a Combustor-Vaporizer System

       A grid plate located between the combustor and the vapor generator
entrance has been used at times by Solar in some of its experimental com-
bustor work.  One reason for using the grid is that  it  can act as a fluid flow
mixer.  With this component,  it may be possible to obtain more uniform
temperature and velocity fields at the vapor generator entrance.  Another
reason for considering a grid is that changes  in radiant heat transfer within
the combustor can be  made; such changes in net radiation fluxes can be sig-
nificant.  Therefore,  a study of the radiation  and convection heat transfer in
an idealized perforated radiation shield system was performed.

       Consider first only the radiant energy transfer in the  system shown
in Figure 3 (by two infinite parallel planes separated by a perforated radia-
tion shield). The two parallel planes (which represent the combustor wall
and the vaporizer surface at its entrance) are at two different uniform and
constant temperatures. The radiation shield  is infinite in extent,  thin, a
gray body,  a diffuse reflector,  a diffuse emitter,  at some uniform and con-
stant temperature, and uniformly perforated.   The  two parallel planes are
gray bodies.  Gaseous absorption in this radiation system is  small and
neglected.  The temperatures  of the two infinite planes, all gray body
absorptivities in the system,  and the amount of shield perforation are known;
the net radiant heat transferred and the shield temperature are unknown and
to be determined.

       The net radiant heat transferred at the surface of either of the two
parallel planes in the  radiation system under  consideration is equal to the
difference between the emission power of that surface and the absorbed amount
of all radiation falling upon it.  This incident  radiation (irradiation) consists
of direct and reflected radiation from the various  radiating surfaces of the
system.   For instance, the net radiation exchange at surface 1 is expressed
as follows:

            / T. \   .  _  f»    r\i  I f~•      | /-«      | /•"«        |  /^      \     / i \
            \S/     ~    11  '  1- 12   1     3L  1    °"   '       *
              nl

where,
            E      =  emissive power of surface 1

           o; ,      =  gray body absorptivity or emissivitv of plane 1

            GI      =  irradiation on surface 1 as a result of all reflected
                      radiation originating at  surface  1

            G2   ,  =  irradiation on surface 1 as a result of all direct and
                      reflected radiation originating at surface 2
                                   277

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                                  PERFORATED
                                  RADIATION
                                  SHIELD
          FIGURE 3.  PERFORATED RADIATION SHIELD SYSTEM
, T   ,
3 J_i - 1
                     = irradiation on surface 1 as a result of all direct and
                                                                   •*
                       reflected radiation originating at the left face of the
                       shield
     i
                     = irradiation on surface 1  as a result of all reflected
                       radiation originating at the right face of the shield
       The irradiation terms indicated in Equation (1) have been evaluated
considering the multiple inter-reflection processes involved (details not
shown here).   These terms are functions of wall and shield temperatures,
absorptivities  and reflectivities  and the  shield fraction.   Upon making
these substitutions, Equation (1) becomes:
       (1 - PjCj

         4    4
                                - a
                                                             - P? +aP7)
                                     - P3- P.-  P3-aP2P3)
-------
where
                             (1 -
                               -a
            a =  shield fraction equal to the nonperforated shield area per
                 unit area (e. g. , a = 1 for a shield with no perforations,
                 and a =  0 for complete perforation (no shield))

            P -  1 -. a

Similarily,  the net radiation flux at plane 2 can be expressed as,
         q
       (A)
           n
a  a
                    - P2C3)(1 -
              a(TJ
   -  p
  -  T
1    2
                   a(P  -
  -  T )
3    2
                                              (3)
where
                          (1 - a)   P.
For the specific case where no convection exists (a vacuum system),
(q/A)n  = (q/A)  ;  the simultaneous solution of Equation (2) and (3) yields the
      1        n2                                              .
net radiation flux and shield temperature.

       For the more general case where hot gases  flow through the radiation
shield (thereby transferring convective heat to it),  the sum of the net radiant
heat flow at planes 1 and 2 must be equal to the convective heat flow from the
gases to the shield, namely,

                                                                       (4)
The net radiation flows q   and q   are defined by Equations (2) and (3) and

the convective heat flow term q     ,  is given by the defining expression,
                                   279

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        .    'conv '  h As 


where
                   h  =  convective conductance of shield

                  Ag  =  total shield surface area

            (T  - T  )  =  gas-shield temperature difference
              8    *
       Upon substituting Equations (2),  (3), and (5) into Equation (4), one
equation in one unknown, T?, results; its solution yields the shield tempera-
ture,  with which the net radiation and convection heat flow terms are
determined.

       Calculations were made for the following representative conditions:

            Combustor wall temperatures           1200°F

            Vaporizer tube wall temperature        600°F

            Gas temperature  flowing past shield     2500°F

            Solid fraction of radiation shield        0. 5

            Convective conductance for radiation   53 Btu/hr ft2 °F
            shield (flow through grid)

            Emissivities of all radiating  surfaces  0.8

For the conditions given, the following results were obtained:

            t u. ,„  =  2350°F
            shield

            (q/A)n   =  10, 600 Btu/hr ft2

            (q/A)n   =  22, 200 Btu/hr ft2
                 2

       This example was representative of some recent experiments per-
formed at Solar. On the basis of temperature measurements made in the
experimental system,  the predicted shield temperature of 2350°F appears  to
be reasonable.
                                   280

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       The idealized heat transfer model described has been further general-
ized to include the effect of the radiant energy emitted by the flame within
the combustor; although the flame emissivity is low, the inclusion of this
term will give a more exact representation of convection and radiation in the
combustor-vaporizer system.
                                   281

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        APPENDIX VIII (Contd)
                                               GLR-98
VAPOR GENERATOR TECHNOLOGY SUPPORT
                FOR SOLAR,
 DIVISION OF INTERNATIONAL HARVESTER
           (PO 3739-32134-FO3)
               C. M. Sabin
               H. F.  Poppendiek
               G. Mouritzen
               R. K.  Fergin
            GEOSCIENCE LTD
           410 S.  Cedros Avenue
      Solana Beach, California  92075
                  283

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I.  SUMMARY

       Geoscience's support role in the subject program consists of two
study areas, (1) vapor generator design,  and (2) heat transfer and fluid flow
support for the vapor generator-combustor system.  The vapor generator
design work involves an investigation of the relationships between the fluid
properties and the requirements imposed on the vaporizer by other  components
of the power system.
                    \
       During the last quarter,  Geoscience performed the following tasks:
(1) Fluorinol-85 vapor generator design studies; (2) transient analyses  of the
water vapor generator; (3) radiant heat transfer analysis for the vapor  gen-
erator-combustor system; (4) studies involving nonuniform heat transfer in
vapor generator matrices; (5) investigation of methods for controlling excessive
wall temperatures in vapor generators; and (6) test instrumentation reviews.

II.  INTRODUCTION

       The vapor generators presently under consideration for use in mobile
Rankine-cycle engines are of the forced-convection,  once-through type.  In
such generators, a working fluid in the subcooled or saturated  state flows
into the generator and  is discharged in a dry, superheated vapor state at the
outlet.  In steady state operation, the flow past each point in the vaporizer is
described by a fixed vapor quality.  Typical flow regimes in  such a vaporizer
can be (in order, from inlet to outlet); (1) all liquid;  (2) a foamy, quasi-
homogeneous mixture of liquid and vapor; (3) separated annular flow with
liquid on the wall and vapor in the core; (4) wetted liquid rivulets or droplets
on the wall, wet or dry vapor in the  core; (5) film boiling droplets; (6) fog flow;
(7) vapor  superheating.  This sequence of processes does not appear in every
vaporizer.  In some cases, flow regimes listed do not occur, or are replaced
by others.  A number of transition processes can occur which fall in between
the flow regimes listed above.

       The preheater-vaporizer-superheater systems being designed for low
emission combustors are to service three different Rankine  cycle  systems.
One utilizes water, a second Fluorinol-85, and the third uses AEF-78,  a
pure organic.  The first two liquids  are to be vaporized and  superheated, -while
the third will be exited from the heat exchanger in a  super-critical conditions,
so that no change of phase takes place.

       The two organic fluids are, of course, restricted in their temperature,
so that careful control of the interior wall temperature and heat flux distribution
throughout the heat exchanger must be maintained to prevent  fluid damage.
The heat exchanger units are subject to a number  of design constraints  other
than those imposed by  fluid properties.   There are restrictions  on total heat
exchanger volume,  and on the shape of this volume, on pressure drop,  and on
weight.

                                   284

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       A number of heat transfer and fluid flow studies are being performed
for the purpose of supporting the design studies noted above.  Examples of
the main tasks being undertaken are given below:

       1.  Test and prototype instrumentation for vaporizer temperature and
           pressure control.

       2.  Flow changes during power level transients.

       3.  Radiation transfer between combustor, vaporizer and gases.

       4.  The effects of nonuniform gas temperature distribution on the
           vaporizer performance.

       5.  Performance of the vaporizer at reduced power levels.

       6.  Influence of duct geometry and possible inserts on working fluid
           heat transfer.

       7.  Prevention of vaporizer tube overheating by temperature monitoring.

III.  DESIGN STUDIES

A.  Fluorinol-85 Vapor Generator  Design Considerations

       1.  Effects of Lowering the Maximum Fluid Temperature Limit on
           Flourinol Base  Design No. 1

       The size and characteristics of Fluorinol Base Design No. 1 were
established with 600°F as the maximum temperature limit for the working
fluid.  However, new information on fluid decomposition indicates that this
temperature limit of 600°F should be considered as a peak to be reached
only during transients, and that the steady  state limit should be reduced to
575°F.  The desired superheated vapor outlet temperature is 550°F, so that
this reduction in maximum fluid temperature (or maximum wall temperature)
decreases  the available temperature difference, from wall to bulk, in the
superheater by a significant  amount.  The final portions  of the superheater,
in which the bulk fluid temperature approaches 550°F, must have nearly
double the  inside surface area.

       The overall conductances in Base Design No. 1 have been tailored to
bring the inside wall temperature near 600°F throughout  the heat exchanger,
in order to produce the most compact design possible without internal finning.
Some discussion of the changes required  to accommodate this new criterion
is required.
                                   285

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       The design changes which can be made to control the wall temperatures
are: (1) addition of internal fins; (2) vary the external fin sizes on the pre-
heater; (3) vary the number of passages in each coil; and (4) vary the insulation
on the superheater coils.

       a.   Preheater

           If the internal wall temperature limit is to be lowered to 575*F,
           it might be necessary to add internal fins to the preheater coils.
           The number of passages would then have to be increased to com-
           pensate for the additional pressure drop as a result of the internal
           finning.  If eight longitudinal fins  (height 0.067 inches, thickness
           0.020 inches)  were equally  spaced around the periphery of the half
           inch tubing, the number of passages required would increase from
           four to six.  The internal finning would make it possible to main-
           tain the two coil preheater arrangement with external finning, as
           in Base Design No. 1,  without  exceeding an  internal wall tempera-
           ture of 575 F.

           If more than eight internal fins were required,  the fluid side
           pressure  drop would exceed the specified limit or the number of
           passages  required would become impractical.

           With the addition of internal fins,  it would be possible to increase
           the external finning. However, it does not seem possible to reduce
           the preheater  section from two coils to one coil by this method.
           From a manufacturing point of view, the combination  of internal
           and external finning would make it more desirable to design a
           vapor generator with a  square  cross section.

       b.   Vaporizer

           If the in-side wall temperature limit is lowered from 600°F to
           575°F, either  internal finning or outside insulation would be required
           on the vaporizer coil, which was previously  bare tubing.  If outside
           insulation is chosen, the number of vaporizer coils would have to
           increase from one to two.  Internal finning would require an in-
           crease in the number of passages  from six to ten in order to
           compensate for the increased pressure drop.

       c.   Superheater

           Internal fins could be added to the superheater coilst for the purpose
           of lowering the wall temperature.  It would then have been possible
           to reduce  the number of superheater coils from four to two for the
           obsolete 600°F maximum temperature.   The overall internal pressure
           drop could also have been maintained below 50 psig.  No external


                                   286

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            insulation would be necessary with internal finning if the wall tem-
            perature limit is 600°F.  External insulation would be necessary
            in addition to the internal finning if the wall  temperature limit is
            575°F, unless the total pressure drop could  be increased to,  say,
            100 psig.  In that case,  sixteen diagonal fins across  the entire
            tube cross section would lower the temperature to nearly  575°F.
            The pressure drop in two superheater coils  would be 68 psi using
            six passages in each coil.

            Base Design No.  1 has not been analyzed for part load operations
            or  overload  operation.  The latter would  result in excessive wall
            temperatures.  It is possible that certain part load operations
            could  also result in excessive temperatures  because the liquid-
            vapor distribution would be different from the design point opera-
            tion.  However,  since other changes in the operating characteristics
            are sure to take place before the Flourinol design is frozen,  it is
            felt that these changes should be established before further detailed
            analysis is performed.

       2.  Special Fluorinol-85 Vapor Generator Problems

       The Fluorinol vapor generator  operates at a high pressure so that
vaporization occurs near the  critical point.   The latent heat of vaporization  is,
therefore, a relatively small portion of the total heat added,  as seen in
Figure 4.  The vaporizer is,  therefore, the least bulky portion of the  vapor
generator,  in contrast to a water  system.  The largest heat addition occurs
in the preheater where the temperature difference is  smallest.   Furthermore,
the thermal conductivity of Fluorinol liquid is relatively low  so that external
as well as internal finning is  desirable in order to obtain a compact design.

       Because the operating temperature of the superheater (550°F) is very
close to the allowable limit for the Fluorinol (575°F to 600°F), it is the most
difficult and most critical component to design.

       Because of the low temperature limit,  it is also necessary to control
the liquid-vapor cycle so that no superheating occurs in  the vaporizer at part
load operating conditions. In Base Design No. 1, only the superheater would
provide the temperature protection required.  In a practical  design such
protection will have to be provided in the vaporizer as well.

       A  few observations may be made concerning the vaporization process
in Fluorinol.  As the critical point is approached, the change in; fluid volume
with a change of phase approaches zero,  and for Fluorinol vaporizing  at 700
psia, the  volume change is approximately five times.  The familiar energetic
bubble action in nucleat boiling, which is frequently visualized,  is associated
with density changes  of several orders of magnitude,  and one may expect this
process to be suppressed with small density change.  For vaporization under

                                    287

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    100
200
 ENTHALPY, BTU/LB
                                                              300
FIGURE 4.  ENTHALPY,  PRESSURE AND TEMPERATURE CHART FOR
            FLUORINOL

forced convection conditions in tubes, the flow through a large portion of the
vapor quality range is annular, with the vapor flowing down the core.  The
thickness of the liquid layer on the wall is inversely related to the ratio of
vapor velocity to liquid velocity,  a ratio which is, in turn, related to the
density ratio.  In the case of vaporization near the critical point, thick liquid
layers with small mixing due to bubble generation may very well occur, and
under such conditions heat transfer conductances may not be particularly
high. In the complete absence of bubble generation at the wall, one model of
the vaporization heat transfer process visualizes the heat as being convected
across a superheated liquid layer to vaporize liquid  at the interface with the
vapor.  Such a process may very well be the dominant heat  transfer  mechan-
ism in the vaporizer.

       It is well  established that vapor bubble generation next to liquid-solid
interfaces in boiling occurs at particular nucleation  sites, which are surface
cavities and crevices containing inert gas or vapor.   In the  absence of suitable
cavities or in the absence  of inert gases to render the cavities active,  many
liquids can superheat without phase change far above their equilibrium satur-
ation temperature. Metallic tubing is usually  adequately provided with pot-
ential nucleation  cavities,  because the manufacturing processes enhance
their formation.  However, in sealed, carefully  cleaned and evacuated systems,
these potential  sites may not be active.
                                   288

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       The preceding considerations indicate that for a conservative design
for organic vaporization, it would be appropriate to use a relatively low heat
transfer conductance, based on an annular flow model without bubble genera-
tion.

       3.  Alternative Geometries

       External insulation  and external and internal fins will be required for
the Fluorinol vapor generator. A conventional rectangular array substituted
for the spiral coils, would  simplify the installation of insulation and eliminate
the possibility of collapse of internal longitudinal fins during coiling. In
addition,  a rectangular array  is much easier to manifold, so that the use of
many parallel channels to control pressure drop would not present serious
difficulties.  A  short flow transition section would be required between the
combustor and vapor generator to adapt the change in cross section, but if
the actual flow area change -were not large, this adaptor could probably be
simple in form.

B.  Transient Behavior of the  Water Vapor Generator

       There are two distinct  transient operations of major importance in the
operations of the water vapor  generator.  These are; the startup process, and
varying load during operation.  In the former  case,  the heat exchanger is
initially full of water, and the  liquid must be cleared from the vaporizer and
superheater coils during  the startup.  In the latter case,  the heat exchanger
responds  to changes in combustor  output, steam demand at the outlet, and
water flow at the inlet. Since  these two transient operations are very difficult
in nature,  they  can be discussed independently.

       1.  Vapor Generator Startup

       The idealized startup process proceeds in the following manner.  With
the heat exchanger completely full of liquid at ambient air temperature, the
combustor is impulsively brought to full rated output and maintained at that
level until the superheater outlet conditions are at the design point, 1000 psia
and 1000°F.  During this  process,  the boiler tube may be dry, filled with
stagnant or flowing fluid.

       a.   Dry Tube

            In the case of the dry tube, the temperature history of  the first
            coil wall is similar to that of the voltage on the capacitor in a
            series resistance-capacitor circuit impulsively  subjected to a
            steady voltage at time equal to zero.
                                   289

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The governing equation is

      fm  =  1 - e^                                       (1)

where
             T   - T.
      T    =  —^	
      t  =
          R C
            g
values of the constants appropriate to the vapor generator are as
follows

Tm  = metal wall temperature

T^   = initial temperature (a constant), 70°F

T    = gas temperature (a constant after t  = 0), 2500°F
 &

t    = time

C__  = metal wall heat capacity Me    =  1.2 Btu/°F for the first coil
 m                      r    J    pm

M    = metal mass,  11 Ibs

c    = metal specific  heat, 0.11 Btu
 pm          r

R    = 1/h A,  the heat transfer resistance on the gas side

hg   = gas side heat transfer conductance,  43 Btu/ft  hr°F

A    = gas side heat transfer area, 6.2 ft

The time constant RgC  has the value 16.1 seconds.  In the
absence  of cooling, the metal temperature will go to the gas
temperature.  However, at some time after combustor startup
the water flow would presumably begin.  The time taken for the
wall of the first coil to reach the saturation temperature of water
at 1000 psi, 545°F, is, from Equation (1).

      t  = 3. 52  seconds
                        290

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     The test bed water vapor generator contains six coils between the
     preheater inlet and the end of the first vaporizer coil,  representing
     a length of 280 feet of tubing.  The design liquid velocity is approx-
     imately eight feet per second, so that the transit time from the
     inlet of the preheater to the outlet of  the first vaporizer coil  is
     about 35 seconds.  It seems clear that a startup process with the
     vapor generator dry would have to have significant operational
     advantages to justify the necessary careful timing.

b.   Tube Filled With Stationary Fluid

     In the case of startup of the boiler containing stationary liquid, the
     temperature history of the first coil wall is similar to that of the
     voltage on the first capacitor in a series arrangement of resistor-
     capacitor and resistor-capacitor.  The temperature history of the
     liquid mixed mean is similar to that of the voltage  on the second
     capacitor.  The governing equations are
           1+r2
T    =  1 + 	
 m        r    r.
                                     1  +
    and
              =
      (1 -  K) -
                                    rl - r2
                                                              (2)
                                + Ke
                                     "*
                        1  - K
                                                    (3)
    where
                 T  -
                 ig
          K  =
It  .  •»-
14-:;—
                                 - 1 *
                               1 - 4K
        =  liquid mixed mean temperature

        =  1/htfAfl heat transfer resistance on liquid side

        =  liquid heat capacity for entire first coil, 3 Btu/°F

        =  1/hgA, the heat transfer resistance  on the gas side
                             291

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Ag  = heat transfer area on liquid side of first coil, 5.4 ft"

hg  = liquid side heat transfer conductance

Evaluation of these solutions depends upon the establishment of a
conductance for the liquid side.  For a stationary liquid,  the
classical solution for the flow of heat in a cylinder  subjected to a
uniform external heat flux may be used.  The appropriate solution
may be found on page 203 of Reference 18,  and elsewhere.   The
conductance extracted from this  solution is a function of time, but
may be approximated by a constant for the early part of the  heat-
ing process.  For the thermal properties of water and the dimen-
sions of the water vapor generator,  the water side  conductance
may be computed to be approximately

      U0  =  128 Btu/ft2 hr F

Based on the indicated constants, Equation  (2) for the vaporizer
tube wall becomes

      f   =  1  - 0.765 e~°'3lT - 0.235 e'3'24*            (4)

The composite  time constants for the two terms are 52.0 seconds
and 4. 98 seconds, respectively.  The vaporizer tube wall reaches
the temperature of 545°F when Tm = 0. 196,  t - 0. 263, and t = 4. 23
seconds.

Equation (3) for the mixed mean  liquid temperature becomes, with
introduction of  the indicated constants,

      T^  = 1.0 +40 e'1-025* -  41 e-f                    (5)

The time constants for the two  terms are 15.7  seconds  and 16. 1
seconds,  respectively.  At t = 4.23  seconds, when  the tube wall
has come to the boiling point,  the liquid mixed mean temperature
is 187°F.

The idealizations upon which Equation (4) and (5) are based become
invalid after subcooled boiling begins at the wall. At this time,
the effective inside conductances and the  mixing of  the liquid in-
crease to fairly high values.  However,  the possibility of film
boiling, with a  consequent decrease  in the inside wall conductance
to a very low value is a distinct possibility if boiling continues
without forced convection.  It,  therefore, appears that the water
flow will have to be established soon after the wall  reaches the
water boiling point in order to insure that film boiling does not
                        292

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    occur.  With this constraint, it appears unlikely that there will be
    any net vapor generation possible before water flow must be started.

c.  Tube Filled With Moving Fluid

    These cases are more complex than the preceding two.   The
    analyses presented below strictly apply only to such short lengths
    of tubing that the average temperature for heat transfer from the
    gas may be taken as the arithmetic mean temperature between
    inlet-and outlet liquid  flows.  They  are  further restricted to water
    flows large enough that the liquid side heat transfer resistance is
    negligible compared to that on the gas side.

    Other restrictions consistent with the above qualifications are:

          1. Water and metal temperatures are identical

          2. Conductances are invariant

          3. Gas temperature is invariant

          4. Water flow in invariant

    (1) Constant Inlet Water Temperature

    The governing differential equation for  the water outlet tempera-
    ture is
                 A
          T  + ^±  =  0                                      (6)
               dt
                R
                T
          T  -   WO
               ~rl~
    The reference temperature is
T —
TR
2 hgA
Ci
(
T_l_ T
g wi
|2wc
P
C.
Ci -

T
R
    The reference time is
                    Ct
          TR  ~ 2wc  + h  A,
                    P   g I
                            293

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The other new symbols are

A.   =  gas side heat transfer area for chosen tube length

C»   =  heat capacity of both water and metal for chosen tube length
 JL

w     =  water flow rate

c     =  water heat capacity

Twi  =  water inlet temperature

TWQ  =  water outlet temperature

The solution to Equation (6) for the appropriate boundary condition
$  =  Tj, A =   0, is
      A
     JL      -t



For conditions appropriate to the entire water vaporizer first
coil and full design water flow,  the time constant is

      TR  = 4.59 seconds

The reference temperature is

      TR = 458°F

The resulting  temperature history of the water outlet is,  for
an initial temperature of 70°F,

      458°F -  T         A
      	-°   =  a'*                                 (8)
        388°F
After one time constant, 4.59 seconds, the temperature has
increased to 3l6°F.

It may be observed that in this case the time to boiling tempera-
ture cannot be computed,  since the water will not reach boiling
with a 70°F inlet to the first coil.  The limit temperature is
458°F.

The restriction of this case to fixed inlet temperature invalidates
the solution for times  great enough so that the preheater outlet
temperature has begun to rise.  For cases with significant

                       294

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variation in first vaporizer coil inlet temperature,  the following
analysis is presented.

(2)  For the case/of a variable water temperature of the form


Twi =  X(l - e~^                                         (9)

similar to Equation (8), the differential equation is  of the form
                             wo    ~
                                                          (10)
                           dt

where the appropriate temperatures are normalized according
to the relationship

            T - T
                  initial
      T  =	
           T     - T
            boil    initial
           •2wc       2h A
               P        g
Equation (10) has the solution

       wo =  (kl + k2> - e~  C +

where C is an arbitrary constant dependent upon the initial
conditions .

This equation has not been evaluated in detail.  The essential
information with regard to the time constant has already been
obtained. The time constant for this case is identical to that for
the constant water temperature inlet case.

Although the time constants are the same, the actual water flow
temperature from the preheater is not described well by the
relationship used.  The preheater gas  side temperature varies
during startup.  At the initial instant,  while the heat exchanger
coil is at a uniform temperature, the gas temperature profile is
                        295

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            easily computed,  and its variation is shown in Figure 5.  Also
            shown in the figure is the gas temperature distribution for the
            steady  state full load condition.

       d.   Startup of the Test Bed Water Vaporizer Generator as a Whole

            The transient behavior of the entire heat exchanger during startup
            can be  computed numerically subject to some simplifications.   The
            early part of this  process has been worked out and the calculations
            indicate that the time constants obtained from Equations (8) and (11)
            are representative of the behavior of the entire heat exchanger  core.

            Therefore, one may  expect the heat exchanger to be near the design
            full load output within two to three time cons tants, or ten to  fifteen
            seconds.  However,  the design full load conditions have been com-
            puted with a liquid flow into the preheater of 250°F, and since after
            fifteen  seconds the preheater inlet flow will probably be still near
            the initial temperature of the condenser, hot well and pump
            assemblies, the steam output will probably be somewhat below  the
            full design superheat.

            The principal difficulty with this numerical calculation (and the
            one which makes transient analysis by means of  tables available
               =! 3
                                                    . STEADY STATE
                                                         I
                        23456789   10
                         COIL NUMBER (COUNTING FROM COMBUST OR END)
                                                     II (OUTLET)
FIGURE 5.
GAS TEMPERATURE DISTRIBUTION AT FACE OF EACH COIL
AT STARTUP AND STEADY STATE FULL LOAD
                                   296

-------
            in the heat exchanger literature impossible) is caused by the com-
            plex water flow path.  The flow path is also responsible for the
            serious problem associated with actual startup of the vapor
            generator.   The onset of boiling will almost certainly occur near
            the  outlet end in the first coil of the vaporizer section (next to the
            combustor).  In order to accommodate the vapor expansion, the
            liquid will have to be expelled from the superheater coils.  This
            process could be  quite violent under some circumstances.

            The analyses presented for temperature history of the first coil
            indicate a temperature rise in the absence of boiling, which is in
            the  order of 25  to 50°F per second.  At the temperature level of
            545°F (the design boiling point), this temperature rise rate corres-
            ponds to a saturation pressure change of in the range of 200 to 500
            psi  per second.  If the pressure in the vapor generator is not to
            exceed 1200 to  1500 psi, then the superheater must be cleared in
            a few  seconds.  Since each of the six passages is some 32 feet
            long and the design water velocity is of the order of eight feet/
            second, this clearing process requires some significant changes
            in flow velocity.

            If adequate flow accelerations cannot be attained within the pressure
            limits of the vapor generator,  the combustor heat release would have
            to be limited to something less than full power on startup.  This
            change would lead to longer startup times.

       2.  Transient Performance Characteristics

       Perturbations around the full load design point have several aspects.
At a change in load, the  water flow must change as well as the  combustor
firing rate in order to bring the system into equilibrium at the  new demand
level.

       The transient times for the two streams through the heat exchanger
core are very different.  At full  load, the gas stream transit time is 14 milli-
seconds.  The water stream total transit time is 36.4 seconds, of which 35.0
seconds is required for the water to pass through the preheater, 0.8 seconds
for the vaporizer, and 0.6 through the  superheater.  The long  time required
for a particle of water to flow through the vapor generator is indicative of the
time required for a thermal change in the inlet condition to make  itself felt
at the steam outlet. However, flow rate accommodation times are much
shorter.  Since  the liquid in the preheater  is substantially incompressible,  a
flow rate  change at the inlet to the preheater is instantaneously transmitted to
the location of the onset of boiling.
                                   297

-------
       The principal time lags associated with a change in steam demand are
probably caused by the inertia of the water in the preheater, which affects the
rate of change of flow; the flow response time  of the steam vapor space con-
sidered as a  long, narrow storage reservoir; and the thermal time constant
of the wall.

       A  simple  analysis of the vaporizer wall in the first coil can be used to
illustrate the magnitude of time lags associated with energy storage in the
vaporizer metal.  Consider a tube initially in steady state at the design full
load conditions, which at time t = 0 is subjected to an impulsive  change in gas
temperature  while all other conditions are held constant.  This perturbation
is approximately that which occurs when the combustor  output is suddendly
changed to a  new level.  The governing equation for the tube wall temperature
is:


           —  = f ,  -  T                                            (12)
           dT       f

where

t    = t/T

       /-L  + X  T  + A- T
                   0    -    .
                   s    ^   el
Tf   =  - -- —  =  normalized final tube wall temperature
T    =  T/Tgd

T    =  tube wall temperature

T  ,  =  inlet gas temperature

T  ^  =  design inlet gas temperature

T    =  water saturation temperature

t    =  time

T    =  time constant  = 	
Crn  = tube wall heat capacity (for entire first coil)

w_   = gas flow rate
  O
                                   298

-------
c    = gas heat capacity
 re~t
U    = gas side conductance based on gas side heat transfer area
 o
U,   = boiling side conductance

A    = gas side heat transfer area for first coil

       This equation is subject to the following idealizations and approxi-
mations:

       1.  Conductances are invariant with time

       2.  Gas side temperature  is always greater than tube wall temperature

       3.  The mean gas side temperature for heat transfer may be approxi-
           mated by the average of the incoming and outgoing gas tempera-
           tures for the single coil

       4.  The saturation temperature is constant and the fluid is always
           boiling

The approximate boundary condition for Equation (12)  is

           I  = 0,  T  =  Td

The solution is simply

            T  = T        T
            _f        = e'* .                                         (13)
            Tf - Td

The time constant, T,  is of particular interest.  The following constants are
appropriate to the water vapor generator

           wgc   =  1.2 x 103 Btu/hr°F

            Ug    =  43 Btu/ft2 hr°F

            Cm   =  1.2Btu/°F

           A      =  6.2ft2
                                    299

-------
           Ub =  3000 Btu/£t2hr

           A!  =4.5

           \2  =  0.0645

       These yield the time constant value

           T =  0. 23 seconds

It appears that the wall temperature will have accommodated itself to a new
level within one  second of onset of a temperature change.

IV.  SUPPORT STUDIES

A.  Radiant Heat Transfer Considerations for the Combustor-Vapor Generator
    Design

       In the previous quarterly report, an equation set was defined which
accounts for  thermal radiant heat transfer processes between the combustor
and entrance  of the vapor generator.   The system consisted of two planes
separated by a perforated radiation shield. Plane one  of this idealized system
represented the combustor walls, plane two represented the entrance  of the
vapor generator, and the perforated radiation shield represented a flow dis-
tribution grid for the system.  The analysis accounted  for radiant exchange
from the various surfaces identified,  including multiple interreflection as
well as convective heat addition to the flow distribution grid from the hot
gases.  This  system has subsequently been extended to include radiant heat
transfer  from the luminous  flame.  The luminous radiation was postulated
to be absorbed completely at the first impingement on a surface (reasonable
approximation).   This extension consisted of adding a constant thermal input
term to the shield as a result of the absorption of the luminous heat  transfer
from the flame.   The general equation set that defines  the thermal radiation,
convection and luminous radiation shield absorption for this system  follows:

           Iconv  +  lium  =  qn  +  qn
                               J.      Ct

           \  = *!<*!'  T2' a» a'S' T3>


           qn   = f2(Tl'  T2' a» a'S' T3)
             £*


           Icon  =  hAs
                                   300

-------
where

       q     ,   convective heat transfer to shield
        conv

       q,    ,   luminous heat transfer from flame

       q     ,   net thermal radiation exchange at plane  1

       q     ,   net thermal radiation exchange at plane  2

       T     ,   known temperature of plane 1

       T?   ,   known temperature of plane 2

       T-   ,   unknown temperature of the shield

       T     ,   known gas temperature
         5
       T,   ,   known flame temperature

       a     ,   solid fraction of shield

       a     ,   gray body absorptivity or emissivity of radiation surface

       h     ,   convective conductance of shield

       A     ,   total shield area
         s

       f.r    ,   flame  emissivity

       In order to calculate the total net radiant fluxes at planes 1 and 2, one
would add the net thermal flux and the absorbed luminous flux.  The net thermal
fluxes would be obtained from equation set (14) and the luminous flux from
classical  procedures; at plane 2, however,  only that fraction of the luminous
radiation  that passes through the perforated radiation shield would be involved.

       In order to illustrate the effects of varying the porosity and emissivity
of the radiation shield on the  net radiation flux at plane 2 (at the first row of
tubes in the vapor generator) and on shield temperature, parameter evalua-
tions of the equation set were performed neglecting the effect of flame
luminosity.  Some of the results are shown in Figure 6 and 7.  Note that the
net radiant flux at plane 2 (vapor generator entrance) significantly increases
as the solid fraction of the shield increases. Also note  that it is possible to
reduce the net radiant flux at the vapor  generator entrance by decreasing the
emissivity of the  shield.

                                   301

-------
                    30OO —
                   2500 -
                   20OO
                           CONSTANTS:
                                  o,= 02 = a 3 = 0.8
                                  h =53 BTU/HRFT2°F
                                                 SO ,OOO
                                                 20,000 —
                                                 10,000
                       0            0.5
                         SOLID FRACTION OF SHIELD, 1
            FIGURE 6.  (q/A)    AND T  VERSUS a
                              2
B.  Nonuniform Heat Transfer in Vapor Generator Matrices

       1.  Effects of Combustion Gas Velocity and Temperature Variations
           From Their Mean Values on Tube Wall Temperatures
       When dealing with vapor generator systems that utilize organic
working fluids such as Fluorinol-85,  it is important to be able to define
quantitatively the effect of combustion gas velocity and temperature variations
(from their mean values) on tube wall hot spots.  An elementary analysis has
been performed which establishes the criteria for defining the hot spots.

       Consider the thermal circuit shown in Figure 8.  In this system it is
postulated that the convective conductance of the working fluid, hc, the tube
wall thickness,  6 , the tube wall thermal conductivity,  kw,  and the working
fluid bulk temperature,
ture,

                        T ,  are all constants.  The combustion gas tempera-
      Tn,  and velocity, u (and,  therefore,  the convective conductance, h  ),
       &
are variable and control the wall temperature, tw«

       A heat flow equation can be written for the thermal circuit in terms
of the unknown wall temperature, t  ,
                                     namely,
                                    302.

-------
                     3000  -
                     250O
                     2000
                     1500
                                a = 0. 5
                                Tg= 25OO°F
                                 h=53BTU/HRFT2 "f

                                      I
                                     0.5
                             EMISSIVITY OF SHIELD, a 3
                                                    30,000
                                                  - 20,000
                                                  - 10,000  i
              FIGURE 7.  (q/A)n   AND ?3 VERSUS a
               (U)

             hc
 tw

•Tc
                                  w
                -COMBUSTION
                 GASES

                   .TUBE WALL
-WORKING
 FLUfD
                                                                        1 w
FIGURE 8.  THERMAL CIRCUIT DESCRIBING HEAT FLOW FROM COMBUS-
             TION GASES TO THE WORKING FLUID
                                      303

-------
       A heat flow equation can be written for the thermal circuit in terms of
the unknown wall temperature,  tw,  namely,

                T  - T         t  _ T
                 8    C     --=-^-                             (»)
J
h
           —
           ha   * k
            g      w

Upon regrouping Equation (14) in a dimensionless form, one obtains

t -
w
T
go


T
C
T
C




h
(**
h
g
go
h
c
h 6
g w
k
w





+ .
+ i
h /
c

(r -
' K
i T
^ go


T
C
- T
C

                                                                    (16)
where
       h    ,  the uniform or design value of h
        go                                  8

            ,  the uniform or design value of
        O                                   O
         o

The convective conductance on the combustion gas side is a function of the
local gas velocity (dependent upon the Nusselt-Reynolds modulus function for
flow over tubes).  For the  systems under consideration, it can be shown that
the conductance varies as the 0.6 power of the velocity, namely;

           h       /   0) . 6
                    o
Therefore, the dimensionless wall temperature can be expressed as
           t  -  T            C             T -  T
           _w _ c       _ i _      g     c
            T  -r   =   ~I -   ~      r  -T
            g     C
             o
 (t)
                                  304

-------
where            hgQ

            °1  =  h~
                   c
                  V-    \
             2
                     w       c

       Equation (18) has been used to predict mean wall temperature varia-
tions in tubes of a typical Fluorinol-85 superheater.  The results are shown
in Figures 9 and 10  in terms of gas velocity ratio,  U./UQ, and temperature
ratio,  T  -  TC/ T  - T , typical of this system.
        e       BO
       Some experimental information available from Solar's combustor gas
temperature traverses indicate that the temperature ratio might vary from a
low value of 1.05 to a high value approaching 1.3.  Clearly by good combustor
desigri it is not  expected that the high value will be  typical, but that the low
value can be achieved.  No experimental information is available on the velocity
ratio,  u/uQ.

       It was thought appropriate to determine from Figure  10 how large a
wall temperature increase would result for the hypothetical condition that
both the combustion gas velocity and temperature ratios are  equal to 1.2.
For  this case, the wall temperature increase above the design (uniform)
value was t  - t    =  38°F.  The results indicate that such temperature
           vv    ^^O
asymmetries at the  hot spots could cause decomposition and  deposition
problems; thus, lower gas velocity and temperature ratios should be set.

       It is believed that it would be fruitful to analyze combustion processes
and secondary air addition processes for idealized  flow geometries repres-
entative of the Solar combustor for the purpose of estimating the limiting
gas velocity and temperature ratios that may occur and what can be done
about reducing them.  Some possible mathematical  model studies that would
give such information have been outlined for future  evaluation.

       2.  Effects of Peripheral Variations in Heat Transfer Around Vaporizer
           Tubes

       The matter of peripheral variations in heat  transfer  in vapor generator
tubes is also of interest in connection with excessive wall temperatures,  if
organic working fluids are used.

       The peripheral variation in heat flux is composed of convection and
radiation terms.  The latter mode is only present to any practical extent in
the first or second row at the vapor generator entrance, of course.
                                   305

-------
                 O.15
                 0.12
                 0. II
                 O.IO
                 0.09
  WHERE:
hc= 3S3BTU/HR FT2 °F
««.-_ 0.0002 HRFT'-F
*w       BTU
T^ = 440 *F

T,= 1540'F
                    0.8    1.0   1.2   1.4    1.6    1.8    2jO    2.2
  FIGURE 9.  DIMENSIONLESS TUBE WALL TEMPERATURE VERSUS
              GAS VELOCITY AND TEMPERATURE RATIOS
       Maximum peripheral wall temperature variations (without considering
peripheral tube wall conduction) at the vaporizer inlet of the Fluorinol-85
vapor generator were calculated.  At the stagnation point of the first tube, the
ratio of the local convective heat flux of the tube is greater than  1. 5 (depending
on how large the radiation flux is as shown in Figures 6 and 7, for example).
This means that the inner tube wall temperature at the stagnation point can be
as much as 49°F greater than a mean inner tube wall temperature.  Similar
calculations have been made for the  superheater. In this case,  the maximum
inner wall temperature excess at the stagnation point is a little higher than the
value for the vaporizer tubes,  namely,  54°F.  Although the radiation flux does
not exist and the gas  temperature is only 1540°F (rather than 2500°F) for the
superheater, the inner wall-working fluid temperature difference is higher
in this component because of the relatively low working fluid convective con-
ductance that exists.
                                   306

-------
                -10 -
                - 20 -
 FIGURE 10.
TUBE  WALL, TEMPERATURE VERSUS GAS VELOCITY
AND TEMPERATURE RATIOS
       Geoscience has previously studied the effects of peripheral heat con-
duction in tube walls for asymmetrical heat transfer situations.  An analytical
solution has been developed that can be used to predict the peripheral wall
temperature distribution when there is a step function variation in the heat
transfer conductance on one  side of the wall and a uniform value on the other.
The solution also accounts for wall  thickness and its thermal conductivity.
It is possible to use this work to predict how much the wall temperature hot
spots described in  the first part of this section will be reduced as a result
of tube wall conduction. In addition to this method of analysis,  it is also
possible to perform two-dimensional flux plots with  a thermal analog appara-
tus,  if necessary.

C.  Methods for  Controlling  Excessive Wall Temperatures in Vapor Generators

       There are a number of methods by which excessive wall temperatures
in vapor generators can be reduced, two of which have been studied by
Geoscience to date. They involve rather direct and  relatively uncomplicated
                                   307

-------
approaches to the problem.  One method involves adding thin thermal
resistances to the outside of vapor generator tubes and the second one con-
sists of internal tube finning.

       1.  External Thermal Resistance
       The addition of a thermal resistance to the outer tube surface has the
additional advantage that it does not increase the internal fluid pressure drop.
Further, if the resistance layer is thin, it does  not significantly change gas
flow patterns or increase the heat exchanger size.

       The overall heat transfer conductance, U,  for the insulated tube
system is,
                 1
                                                                     (19)
where the subscripts o,  r, w, and i, refer to outside, added thermal resis-
tance, wall and inside, respectively.  The other symbols have been described
previously.  It is clear that the  overall heat transfer coefficient can be reduced
by increasing the thickness of the added resistance in addition to decreasing
its thermal conductivity. Figure  11 illustrates this  feature for typical
Fluorinol-85 superheater conditions.
                                CONSTANTS : h0 = 40 BTU/HR FT2 °F
       0.0
              0.01     0.02
0.03     0.04     0.05
       6 ,  INCHES
                                                     0.06
                                                             0.07     0.08
   FIGURE  11.  THE EFFECTS OF kr AND <$r ON THE CONDUCTANCE U
                                   308

-------
       It is seen that a gas layer would provide a high thermal resistance to
the wall.  In this case, the tube could be wrapped with a thin foil which is
spaced by dimples pressed into,  say, one percent of the foil area.  By varying
the depth of the dimples,  various thermal resistances can be obtained to
satisfy the requirements  in each row of tubes.  For example, the material
gaps required for each row of the superheater in the system illustrated  in
Figure 12 would be:

                     Overall         Material       Material
                  Heat Transfer  .   Having a       Having a
             Row  Conductance,    kr = 0.035 (gas)  kr  = 0.10
             No.  Btu/hr ft2°F      6,  Inches       6, Inches
2
3
4

5
U
U
U

U
2
3

4
5
= 12
= 17
= 25

= 36
6
6
6

6
2
3

4
5
= 0.
= 0.
= 0.

= 0.
031
017
006

000
6
6
6

6
2
3

4
5
= 0.
= 0.
= 0.

= 0.
075
040
015

000
        The above calculations illustrate that a gas gap would increase the
overall tube diameter less than twelve percent for a half inch tube.  In com-
parison, an insulator with k  = 0. 10 Btu/hr ft°F would increase the  overall
tube diameter up to 30 percent.
   ROW NO.    I
GAS
2500°F
3740LB/MR


Cfc-r O.S29 » 1


FLUORINOL

440 °F







36 BTU







2092 °F



MR




550°F
1 I 7OOPSI4
/
' ' /
f
1 1
'/
,
^
t







CL ;







rji. /
'-^?
/
K
' N
0.576


/
t
t
1
1
f
' f
/
/
f
i
rf
(
f
•06BTU
t
t
/
f
/
_ /
/
f t
'""*/

/
A
/HR

f
t
f
i
f
' f
f


^^



/
i


t
~~


X.





















1543°F I








+**^* »_
-
-
•
-
-
E
;
440°F ~





—Xi


1= 0






: i

—


^*-



| 690°F
- '~«-^-^
-
-
888 > I06BTU/HH
_ _
\_ ~
: ;

r :








_
-
:FLUORINOL
-
; 300° F
- 736PSIA
9450LB/HR
 FIGURE 12.  FLOW DIAGRAM OF FLUORINOL,-85 BASE DESIGN NO. 1
                                    309

-------
       In order to demonstrate the insulating effectiveness of various types of
tube insulators, a one-half inch diameter steel pipe, covered with test insul-
ation samples, was heated electrically to a glowing red color.  The test
samples consisted of:

       (1) A dimpled  stainless steel foil,

       (2) A single stainless steel foil wrapped directly on the pipe,

       (3) A stainless steel foil separated from the tube by a fine gauge
           screen,

       (4) A stainless steel foil separated from the tube by a coarse gauge
           screen,

       (5) A ceramic  coating.

       Except for the  ceramic coating, each test sample had a  small hole
drilled through the foil, through which the pipe wall color-temperature could
be estimated.   It is noted that the reverse direction of heat flow in these tests
in comparison to that to a vapor generator tube is unimportant because one is
only interested in the thermal insulating effect.  The dimpled foil showed
significant insulating characteristics because of the air gap between it and the
pipe wall.  The thermal insulating effect of the foil wrapped directly on  the
wall was not very good (as expected because of the thin air gap).  Both foil
samples separated by  the screens demonstrated good insulating characteristics,
the one  with the coarse screen being somewhat better.  The ceramic coating
was not as good an insulator as the other test samples because the coating
was in direct contact with the wall.  These tests verified that gas gaps are
very effective as insulators as would be expected from the previous calculations.

       2.  Internal Finning

       Another method of reducing the inner tube wall temperatures in the
Fluorinol vapor generator  is to increase the internal tube wall area by adding
fins. However, increased surface area also means additional pressure
losses,  particularly in viscous fluids.  In order to avoid profile pressure
losses,  the fins should be longitudinal and with a  cross sectional geometry
which reduces the equivalent tube diameter the least possible.   Ring or  spiral
fin arrangements are,  therefore,  undesirable.  In order to minimize pressure
losses,  sudden flow changes should be avoided at the tube inlets and outlets.

       In designing internal finning, the pressure losses and the heat transfer
effectiveness must be  optimized for  each component in the vapor generator so
that allowable pressure losses are distributed most advantageously for obtaining
desired heat fluxes and temperatures in each tube section.  The number of flow
                                   310

-------
passages in each section must be large enough,  within practical limits,  to
effectively reduce the pressure drop to a minimum in each section.

       In some cases,  external finning or external resistance is required
together with internal finning in order to control optimum heat fluxes.  To do
this, it is necessary to optimize the external and internal geometries to
obtain  the best design.

       Design  trade-offs using internal finning on the Fluorinol vapor generator
for the purpose of lowering wall  temperatures are given in the design section
of this report.

D.  Instrumentation Support

       Geoscience has  also reviewed the water test bed vapor generator
that has been fabricated by Solar and made recommendations  concerning
primarily thermocouple instrumentation.  It is important that the actual
steady state and transient  performances of the system are  determined and
compared to design values.
                                   311

-------
                                            GLR-102
VAPOR GENERATOR TECHNOLOGY SUPPORT
             FOR SOLAR
DIVISION OF INTERNATIONAL HARVESTER
        (P03739-32134-F03)
            C.  M.  Sabin
            H.  F.  Poppendiek
            G.  Mouritzen
            R.  K.  Fergin
          GEOSCIENCE LTD
      410 South Cedros Avenue
  Sol ana Beach, California 92075
                313

-------
I.  SUMMARY

       Geoscience's support role in the subject program consists of two
study areas (1) vapor generator design, and (2) heat transfer and fluid flow
support for the vapor generator-combustor system.  The vapor generator
design work involves an investigation of the relationships between the fluid
properties and the requirements imposed on the vaporizer by other  compon-
ents of the power system.

       During the last quarter, Geoscience performed the following tasks:
(1) final Fluorinol-85 vapor generator design, (2) final AEF-78 vapor genera-
tor design, (3) water  test bed vapor generator performance experiments,
and (4) several support studies.  Also there are summarized project meetings
and test cell experiments.

II.  PROJECT MEETINGS AND TEST CELL EXPERIMENTS

A.  Ann Arbor Rankine Cycle Contractor's Meeting (January 20-21,  1972).

       Geoscience participated in the Solar presentation by reporting on its
vapor generator design and support studies for Solar.

B.  Progress Report to S.  Luchter,  P. Hutchins, H. Naser and A.  Kreeger
    (January 27,  1972)

       Geoscience reported progress to date and reviewed questions relative
to AEF-78 physical properties and vapor generator design efficiencies.

C.  Technical Discussions  With Aerojet Staff Members (February 7, 1972)

       Solar and Geoscience staff visited Aerojet to review physical proper-
ties and thermal stability questions in addition to considering vapor  generator
efficiency limitations.

D.  Progress Report to P.  Hutchins (February 23,  1972).

       The water test bed vapor generator was operated for Mr. Hutchins at
Solar. Geoscience reviewed and interpreted the steady state and transient
performance characteristics of the  generator.  Additional steady state water
test bed vapor generator  experiments were scheduled to  be performed within
the next several weeks.

E.  Progress Report to G.  Thur and W. Mirsky (February 24, 1972).

       The water test bed vapor generator was operated for Messrs Thur and
Mirsky.  Geoscience reviewed and interpreted the steady state and transient
                                  314

-------
performance characteristics of the generator.  Additional steady state water
test bed vapor generator experiments were scheduled to be performed within
the next several weeks.

F.  Test Cell Experiments

        In this quarterly period, Geoscience staff assisted Solar in the opera-
tion of the water test bed vapor generator.  During the many tests performed,
Geoscience proposed modifications to the test cell equipment to simplify
system operation; these modifications were subsequently made. Steady state
and startup performance data were obtained during these tests.

III. VAPOR  GENERATOR DESIGN STUDIES

        Two vapor generator designs  have been completed during this quarter.
These are for the  fluids Fluorinol-85 and AEF-78.  Descriptions of these two
vapor generatores are given below.   The test bed water vapor generator
operation has shown that it performs as expected.  Some details on the opera-
tion are presented in the following paragraphs,  also.

A.  Fluorinol-85 Vapor Generator Design

       A  demonstration prototype vapor generator was designed for  a
Fluorinol-85 Rankine cycle  engine system.  The resulting design conditions are

           Fluorinol-85 Side:

           Flow                       10,000 Ibm/hr
           Pressure drop              89 psi
           Outlet pressure             700 psia
           Inlet temperature           287°F  (at max. power)
           Outlet temperature          550°F
           Heat transfer rate           2.25 x  106 Btu/hr
           Efficiency                  81% based on HHV  of JP-5  (19800 Btu/lb)
           Max tube wall temperature  506°F

           Gas Side:

           Air-fuel ratio               25 to 1  (JP-5 fuel)
           Flow (gas)                  3740 Ibm/hr
           Pressure drop              4.3  inches H^O
           Outlet pressure             atmospheric
           Inlet temperature           2500°F (mean) ± 250°F

       In the direction of the gas flow, the vapor generator consists  of a
vaporizer, a superheater and preheater.  The prcheater and superheater are
in counterflow to the gas and the vaporizer is parallel.


                                  315

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       The preheater consists of ten rows of 45 tubes each (i/4-inch (JlJ
tubing with 0.016 inch walls).  Longitudinal and transverse spacing is 5/16-
inch in a triangular array.  Tube heat transfer length is 22 inches with an
outside area of 53. 9 ft .

       Material, stainless steel or carbon steel.  First eight rows of preheater
measured from cold end,  are 45 tubes in parallel.  Remaining two rows are
15 tubes  in parallel.

       Flow exiting  preheater passes into first vaporizer  row adjacent to com-
bustor, then into second vaporizer row,  in a cross parallel flow arrangement.
From second vaporizer row, saturated vapor flows into 1/2-inch tube row
farthest from combustor,  passes through two remaining 1/2-inch tube rows in
a cross-counterflow arrangement.

       All 1/2-inch  tubes are arranged seven tubes in parallel,  so that each
parallel path makes  three passes in  each row.

       The five  vaporizer and superheater rows consist of 1/2-inch  OD tubing,
0.030-inch wall,  16  internal longitudinal fins 0.030-inch thick by 0.056-inch
high. Material is carbon  steel,  longitudinal and transverse  spacing  is 0.675-
inch. Active heat transfer length is  22 inches with a  total outside  heat transfer
area of 25.4 ft2.

       In order  to control the amount of  heat transferred through the vaporizer,
the tubes are insulated with a foil tube forming a 0.010-inch thick  insulating
layer of gas around the vaporizer tubes.  The combined conduction and radiation
effects result in all saturated vapor  at the vaporizer  outlet.

       All three rows of the superheater are, likewise, insulated  with a 0.020-
inch thick gas  layer  to obtain superheated vapor of  550°F at the outlet.  An
experiment was  performed at Geoscience to support the analysis of the foil tube.

       The maximum tube wall temperature was calculated to occur at the
superheater outlet.   This  temperature is 566°F as compared to the design limit
of 575°F.  It is not feasible to lower  this temperature for safety reasons since
the outlet temperature of the Fluorinol is 550°F.  Tube wall temperatures at
the vaporizer inlet and outlet and at  the superheater inlet are about 470°F.
                                                                      I

       Carbon steel tubing was used in the design in  order to obtain  minimum
peripheral tube wall temperature variations. Also, internal finning  was used
in designing the vaporizer and superheater in order to obtain minimum tube
wall temperature.
                                   316

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B.  AEF-78 Vapor Generator Design

       An AEF-78 vapor generator designed for 85.5 percent thermal
efficiency (based on the  LHV) has been completed.  This unit is of rectangular
cross section, utilizing  straight tubes in tube sheets.  The heat exchanger is
made up of four rows of 15 one-half inch diameter internally finned tubes at
the combustor end, followed by ten rows of 60 one-fourth inch diameter plain
tubes at the cooler end.   The total gas  side heat exchange area is approximately
106 square feet.  Although the most critical location in the matrix with respect
to fluid overheating is at the outlet, the combination of the high temperature
tolerance of AEF-78 (the maximum acceptable tube wall temperature is 810°F)
and the internally finned tubing allow this heat exchanger to be arranged com-
pletely in a cross counterflow arrangement, without the complex paths  required
in the test bed water vapor generator and the Fluorinol-85 vapor generator.
This AEF-78  vapor generator is expected to have a maximum tube wall tem-
perature near 720°F.

       Physical characteristics of this design are listed in the table below.

       With the specified flow conditions imposed by the other engine compon-
ents on this design, a thermal efficiency of 85.5 percent based on the lower
heating value  requires a heat exchanger effectiveness of 0.97.  In this range
of effectiveness,  an increase of only one percent in effectiveness requires a
heat transfer  area increase of over ten percent.  In a joint meeting with
Aerojet personnel, it was decided that the decrease in size, complexity, and
weight of the vapor generator justified a decrease in the specified thermal
efficiency.  It was, therefore, decided to decrease the efficiency to 82.2 per-
cent,  and thereby eliminate three rows of quarter inch tubing.  With this
change,  the total number of quarter inch tubes decreases from 600 to 420,
arranged in seven rows  of 60 tubes each.

       A change  such as this does not affect the vapor flow rate or heat
transfer rate. Instead,  the combustion products flow rate  increases (by some
three percent) and the exhaust temperature rises  about 100°F.  The fuel-air
ratio is, of course, held constant,  so the combustion products inlet to the
vapor generator remains at 2500°F.

C.  The  Water Test-Bed Vapor Generator Performance

       During the past quarterly period, the water test bed vapor generator
has been operated with the Solar combustor for the purpose of determining
experimental  steady state and transient performance characteristics.

       A number of experiments have been performed with the vapor generator
covering the following ranges of parameters:
                                   317

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                                TABLE I

Characteristics of AEF-78 Vapor Generator for 85. 5 Percent Thermal
       Efficiency (Based on the Lower Heating Value)
  AEF-78 Side:
       Flow                         19,3001b/hr
       Pressure drop                20 psi
       Outlet pressure              1,000 psi
       Inlet temperature             396°F
       Outlet temperature           650°F
       Heat transfer rate to organic  2.02 x 10^ Btu/hr
  Gas Side:

       Outlet temperature           455°F
       Flow                        3,400 Ib/hr
       Pressure drop               2.9 inches of water
       Inlet temperature             2500°F mean

  Tube Arrangement:

       Four rows of 30 tubes each, internally finned 1/2 inch OD carbon
       steel tubing at combustor end of heat exchanger.  Internal fins
       identical to those for Fluorinol-85 vapor generator.  Exterior of
       tubes bare.

       Ten rows of 60 tubes each, bare 1/4 inch OD tubing at combustion
       products outlet end.

       AEF-78 flow path through exchanger is cross counterflow.  Cold
       fluid enters at combustion products outlet end and passes through
       1/4 inch tubing with 60 tubes in each row in parallel.  Return bends
       are manifolded.  The half-inch tubing is  to be ten parallel paths,
       so each group of three  tubes in each row is  in series. Superheated
       vapor outlet collector manifold is at row next to combustor outlet
       face.

  Physical Characteristics of Tube Bank:

       Tubes                       23 inches long (heat transfer length)
       Face area                   23 x 19.1 inches
       Total thickness               5.6 inches
       Tube bank weight (without
         tube sheets or headers)      92 Ibs
       Liquid hold up weight         38 Ibs.


                                   318

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       (1) Water flow rate range        400-1700 Ibs/hr

       (2) Percent air                  22-51 percent

       (3) Fuel rate                    40-75 Ib/hr

       (4) Inlet water pressure         150-1100 psia

       (5) Outlet water pressure        15-1100  psia

       (6) Exit water temperature      up to 1100°F

       (7) Degree of superheat         9-580°F

       When operating the system so that the  temperature out of the preheater
was close to the saturation temperature, the flows and the temperature pro-
files in the six parallel passages (through the  vaporizer and superheater) were
satisfactorily balanced.

IV. SUPPORT STUDIES

       The vapor generator  support activities carried on by Geoscience during
this quarter included analysis of two phase flow in parallel channels, some
assistance to Solar on fabrication sources, and proposals for  the fabrication
or mechanical simplification of the vapor generators.  Typical examples of
this work are given in the following paragraphs.

A.  Two  Phase Flow in Parallel Channels

       Analyses have been made for the differences in mass flow rate through
parallel  tube vapor generators for the cases of liquid flow in some  channels
and vapor in others (hypothetical -worst  case).  In particular,  one is interested
in the difference in maximum wall temperature at  the vapor generator exit for
the case  where half the tubes are filled  with vapor and another half liquid. The
results of the analyses show that a number of  the important system parameters
control this process. An important variable is the fluid density.  One can show
that a water vapor-filled tube can have approximately twice the temperature
rise that a liquid-filled tube  has for a typical set of design conditions.  In an
actual  situation, however, this  temperature difference would be less because
the tubes would contain two phases rather  than either vapor or liquid alone. It
is pointed out that for the Fluorinol-85 case, this hypothetical  result would be
much smaller.  These calculated performance features were noted during the
water test bed vapor generator  tests. For example, flow asymmetries could
be generated by reducing the vapor generator back pressure (to create a large
liquid-vapor density ratio).  It was also possible to show that flow asymmetries
could be  created by increasing the water flow  rate to such a value that the exit
temperature of the preheater was well below the saturation temperature.


                                     319

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       When the water test bed vapor generator is operated with very large
water flow and low combustor power, the liquid from the preheater passes
into the vaporizer rows very much subcooled.  Under this condition, the
location at which vapor generation begins is not well established,  and small
variations  in flow from one channel to the next can cause chugging and erratic
behavior.  If in the  startup process the  combustor power level and water flow
rate are reasonably well matched, startup occurs without difficulty, since the
first vaporization occurs at nearly the same location in all  tubes.

B.  Proposals For the Simplification of the Fluorinol-85 Vapor Generator
    Return Bends

       The tube connection arrangement for the Fluorinol-85 vapor generator
which was proposed in the  sketches submitted with the design utilized mani-
folded return bends through the preheater. In the preheater rows 9 and 10,
where the flow makes three passes instead of one,  the manifolded return
bends led to a header design which is bulky and expensive to produce.  It is,
therefore,  suggested that an individual return bend arrangement be made for
the preheater rows  8,  9, and 10.  The three-to-one flow area reduction
required in going from row 8 to  9 would then be accomplished locally, with 15
identical reducing return passages,  so that these returns need not have a
passage depth from the tube sheet greater than that of the manifolded return
bends on rows 1 through 7.  This arrangement also allows the use of 15 (or
less)  small tubes as connectors  between the preheater outlet and the vaporizer
inlet manifold, so that less space is  required for this connection.

       The construction of the tube bend assembly can be accomplished in
several ways.  It is possible  to machine the assembly from a. solid block.  It
is also possible,  however,  to braze  the assembly from a number of small
subassemblies in several stages.  This latter approach may decrease the
machining costs significantly, so that a net savings is  realized in spite of the
additional steps in assembly.  The individual return bends in preheater rows
8, 9,  and 10 and in the vaporizer and superheater sections could, for example,
be built up from short pieces of  drawn tubing reformed in cross section to
provide the required passages.  The row-to-row pressure drop is  small,  so
that pressure across these dividers  need not be a serious consideration in
choice of their wall thickness.  They would, however,  be loaded in tension,
since they would provide the link between the cover plate and the tube sheet.
If the manifolds were built  up of tubing,  there would be voids in the assembly
which were not part of the flow passages.  However, these would be sealed
and need not present a problem.

       It is also possible to form the return bend arrangement for the super-
heater (or vaporizer) from reformed tubing sections.  These would have to be
in the order of 1/2 to 5/8 of an inch  thick to provide adequate flow area.  If
the preheater  return assembly were  made up of the same thickness,  a continuous
                                   320

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cover plate could be used for the entire assembly.  This cover plate would be
perforated only by inlet, outlet,  and section interconnection lines.  It appears
that a rather large decrease in machine work would be accomplished by this
means.

       The manifolding could also be made up with return bends, separators
machined from a single plate,  but using a cover plate rather than machining
the cover integral.  In  this manner,  a large portion of the metal removal
could be accomplished  by through drilling, rather than by  use  of an end mill.
The cover plate would then be brazed on in a separate step.

V.  DESIGN PROCEDURES FOR COMBUSTION HEATED FORCED CONVEC-
    TION VAPOR GENERATORS

A.  Principal Design Steps

       The vapor generator has  performance criteria specified by require-
ments  of the system.  This information usually includes the following items:

            Inlet thermodynamic state of both streams

            Mass flows of both streams

            Outlet vapor thermodynamic state

            Minimum acceptable thermal efficiency of burner-vaporizer
            combination at full load

            Maximum acceptable pressure drops  in both streams

            Matrix volume limits

       If these specifications are made arbitrarily, it may be  impossible to
satisfy them all.  More discussion of this  aspect  appears in Section B.

       The first five steps  in the design procedure are straighforward
thermodynamic calculations.  However, it is frequently necessary to use
some arrangement for  superheater and vaporizer other than counterflow to
limit tube wall temperatures so these steps may be done several times.

Step 1       By energy balance and with properties tables for the fluids,
            establish for the preheater, vaporizer, and superheater sections:

                 Enthalpy changes in each stream
                 Heat flow
                 State  points between sections
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           If pressure drops are expected to alter fluid state points
           significantly, assume some pressure drop distribution for the
           above calculations.

       The next four steps may be done by several equivalent procedures.
The notation  used here is from Kays and London, Compact Heat Exchangers,
2nd Edition.

Step 2      For both streams compute the capacity rates for each of the
           three sections.   The capacity rate for a vaporizing fluid is
           infinite.  Compute the capacity rate ratios for each section.

Step 3      Compute heat transfer effectiveness  of each section.

Step 4      Compute the NTU requirement for each section, utilizing a
           reasonable choice for the heat exchanger arrangement, such
           as multipass counter cross flow.

Step 5      Using the appropriate value of Cmjn,  compute the product AU
           from the NTU values for each  section.

       The establishment of the overall conductance requires computation of
hot and cold side heat transfer conductances.   For normal combinations of
fluids, the controlling heat transfer resistance will be on the hot,  combustion
products side.  It is at this point in the procedure that the major choices  are
available to the designer.  There are several tradeoffs which must be con-
sidered.

       a.  For most heat exchange surfaces,  pressure drop goes up more
           rapidly with increasing velocity than does heat transfer conduct-
           ance.  If pressure drop is an important criterion, as it is with
           most automotive  power plants, then one wants to use the maxi-
           mum available frontal area, and in addition consider configura-
           tions which have  relatively large free flow area.

       b.  Neither the conductance nor the area per unit of volume of a sur-
           face configuration is to be maximized but,  instead, the product
           ah must be maximized for a compact matrix.

       c.  Extended surfaces on the hot side  increase heat fluxes on the
           vaporizing fluid side.  If the vaporizing fluid is an organic and
           subject to thermal decomposition or if the possibility of film
           boiling  exists, extended surfaces cannot be used without con-
           sideration of the  cold side conditions.
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            An example of such a condition occurs in the Fluorinol-85 vapor
            generator near the preheater outlet.  The overall U at this
            location (which depends only weakly on the internal conductance),
            together with the local AT,  specifies a heat  flux which could lead
            to unacceptably high wall temperatures.  The internal velocity
            was tripled at this location in order to raise the internal conduc-
            tance and bring the wall  temperature down.  If an extended surface
            configuration had been used which held the overall ah constant but
            decreased the internal wall  area,  the internal velocity would have
            to be increased still more to control wall temperature.  Pressure
            drop goes up rapidly with velocity increase so such a change would
            probably make the internal pressure drop too high. An extended
            surface configuration which had a lesser ah product would, of
            course, lead to a preheater with larger volume.

Step 6      Choose a hot side heat exchanger surface appropriate to the hot
            side  surface and determine  appropriate conductance relationships.

            Proper heat transfer  relationships for the cold  side flows may be
            chosen with the aid of the following guidelines.

            a.  For the all-liquid (preheat) and all vapor (superheat) locations
               use standard single phase relationships.  Beware  of using
               relationships for fully established flow for computations in-
               volving short runs of tubing.

            b.  Subcooled boiling  may occur near the preheater outlet.

            c.  The point of the so-called "boiling burnout" or  "transition
               boiling" which corresponds to the end of  the wetted wall in the
               vaporization region,  marks the change from boiling or liquid-
               like conductances to vapor-like conductances.  This point is
               usually found at vapor qualities significantly less than unity.
               The location depends upon the fluid properties, the mass  flux,
               heat flux, orientation in the gravitational field, etc. A wealth
               of literature is available which describes this phenomenon
               with varying degrees of  accuracy.

            d.  The actual boiling conductance depends upon the fluid the  local
               thermodynamic conditions,  and the phase distributions.

            e.  The maximum heat flux which can be applied during boiling
               without film boiling is limited.  If the computed wall tempera-
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               tare under wetted wall boiling is too high,  the liquid will not
               remain in contact with the wall, since the  liquid in contact
               with the wall must clearly be superheated.

Step 8     Compute cold side conductances as functions of pressure drop,
           number  of parallel passages, or tube diameter (in the case of a
           monotube circuit).  Choose particular combinations for each
           section or subsection which meet the design requirements.

Step 9     Compute overall conductances using proper corrections for fin
           effectiveness, wall resistance,  etc.  Beware of fin effectivenesses
           which are too low.  Fin effectiveness relationships are based upon
           the idealization  that the gas side conductances are uniform.  Since
           they are in actuality not uniform,  the designer depends upon con-
           duction in the fin to transfer heat from one area of  the fin to
           another.  Low fin effectiveness  implies that the heat flow into  the
           tube wall from the fin will not be uniform.

Step 10    Compute the required heat transfer area  and the heat exchanger
           volume from the required AU product determined in Step 5.  If
           the volume is too great,  choose a more compact surface (larger
           ah product).

Step 11    Compute the gas side pressure drop.

       It may be observed that the frontal area, heat transfer surface type
and array, and flow paths have been determined, but that the construction of
the matrix is not defined. All of these calculations are equally valid for a
round cross section or a tube-in-sheet geometry.  If a tube sheet geometry is
chosen, it must have a number of tubes in each row which is  evenly divisible
by the number of parallel flow paths.  A nested spiral arrangement may have
any number.  The tube sheet arrangement has a high cold  side pressure loss
in tube bends, and this pressure loss does not contribute to the heat transfer
performance.

Step 12    Choose configuration, manifolding connections, tube wall thick-
           nesses and other mechanical details.  Since an approximate tube
           wall thickness was necessarily made before internal conductances
           and pressure drops could be calculated, a large change in tube
           wall thickness could require recalculation of some of the above
           steps.
                                  324

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B.  Vapor Generator Example Design for AEF-78

Initial Data:

       AEF-78

           Flow                        19,300 Ib/hr
            ^p                          50 psi goal, 100 psi max.
           Outlet pressure              1000 psia
           Inlet temperature            396°F
           Heat transfer rate to organic 2.02 x 10°  Btu/hr
       Gas Side
            Outlet temperature
            Air-fuel ratio
            Flow
            Outlet pressure
            Inlet temperature

       General Constraints

            Efficiency based on HHV
            Efficiency based on LHV
            Maximum tube wall
             temperature
            Maximum face size

            Maximum core thickness
Step 1
Step 2
                            455°F
                            25:1 (JP-5)
                            3400 Ib/hr
                            3.0 inches H2O
                            atmospheric
                            2500 F (mean) ±250°F
                            80 percent
                            85. 5 percent

                            810°F
                            26 in.  diameter circle, or 26 in.
                             by 21 in. rectangle
                            6 inches
In this case there is no change of phase, so energy balance
specified all information for Step 2.

Overall gas capacity rate:
                   mm
              2.02 x 10  Btu/hr
                    2045°F
                                             =  988 Btu/hr°F
                   max
               2.02 x 10  Btu/hr
                     254°F
                                             =  7950 Btu/hr°F
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Step 3      For the entire matrix:


                   _ 2000 F - 455°F  _
                 6 ~ 2500 F - 396°F  ' °'9?

Step 4      A reasonable first choice of flow arrangement for this unit is
           multipass counter cross flow.  For the probable number of passes,
           this arrangement is indistinguishable from counterflow.  From
           the appropriate equation in Kays and London,

                          A TT
                 NTU =    U    =  3.9
                          min

Step 5
                 AU = 3.9 (988 Btu/hr°F) =  3870 Btu/hr°F

Step 6      Choose 1/2 inch OD plain tubes in a staggered array,  5/4 dia-
           meter on centers.  It has been shown that this configuration yields
           compact vapor generators.  For more details on the basis for this
           choice among other staggered bare tube arrays,  see Geoscience
           Ltd quarterly report to Solar for June to August  1971,  GLR-95.
           The heat transfer and flow friction characteristics of this geo-
           metry are to be found in Figure 10-6,  page 185 of Kays and
           London's Compact Heat Exchangers,  2nd Edition.

           Choose a rectangular matrix of 10.09 inches by 23 inches.

                 Af = 3.05 ft

           This area corresponds to 30 tubes in  each  row of one-half inch
           tubes, each 23 inches long.

           For average gas properties,

                 h  = 31.3 Btu/ft2 hr°F
                  O

           This value ranges from a maximum (at the combustion products
           inlet)  of 38.9 Btu/ft2 hr°F to a minimum (at the  combustion
           products outlet of 24.8 Btu/ft2°F.
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            For one quarter inch tubing in a geometrically similar array,
            the corresponding values are

                 h       =42.9 Btu/ft2 hr°F
                  mean

                 h. ,  .   =51.5 Btu/ft  hrcF
                  inlet

                 h  .. .  = 32.2 Btu/ft2 hr°F
                  outlet

Step 7      The internal conductances may be computed based on standard
            correlations.  No details can be shown because of the proprietary
            nature of the fluid AEF-78.  The fluid throughout this vapor
            generator  may be treated as single phase.  There are, however,
            some temperature levels at which the transport properties vary
            rapidly with small temperature changes.

Step 8      For ten parallel paths,  the internal conductance  at 650°F is

                 hr  = 895 Btu/ft2 hr°F

            This value is based on the Dittus-Boelter correlation for heat
            transfer to a single phase fluid in a tube.  The half inch tubing
            is internally finned and, including the fin effectiveness, approxi-
            mately doubles the heat transfer over that of a bare tube.

Step 9      If the gas  side conductance is  computed for the inlet  state of the
            combustion products (the same location where the vapor exits),
            the gas side  conductance may  be determined to be

                 h  = 38.9 Btu/ft2 hr°F
                  O
            The overall conductance, including the wall infludence is,

                 U  = 38.0  Btu/ft2 hr°F

            The overall  AT at this location is 1850°F,  so that the local heat
            flux is (based on the outside wall area)


                  .)       =  70,300 Btu/ft2hr
                   outlet

            The inside wall to vapor temperature difference  is 43°F.   This is,
            of course, a mean value and does not take into consideration the
            peripheral variations in heat flux due to radiation from the com-
            bustor and circumferential distribution of gas side heat flux.   This
            mean value does not include possible  variations in local flux from
                                    327

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           combustor hot spots or local high velocities.  All of these varia-
           tions have been discussed in previous quarterly reports.

           The apparent mean wall temperature at the superheated vapor exit,
           based on gas convection alone, is 693°F.  This value,  which is very
           conservative compared to the 810°F maximum allowable, therefore
           allows the design to be tolerant of local high fluxes and variations
           in fluid properties from those so far measured for this fluid.

           A typical relationship between number of flow passages, heat
           transfer, and pressure drop is shown in Table II (for a one-half
           inch OD by 0.020 wall thickness tube which is internally smooth,
           and unf inned).

                                TABLE II
Number of
parallel
passages
1
2
5
10
15
20
25
h
Btu/hr ft2 F
5640
3240
1560
895
648
513
434
P dyn
psi
157
39
6.3
1.6
0.7
0.4
0.25
1/Amax
Based on Twall = 810°F
0.9 x 10*?
0. 52 x 10^
0.16 x 106
0. 14 x 10
0. 10 x 10^
0.082 x 10
0.070 x 10
Step 10     The quantity, a , for this staggered tube configuration and one-
           half inch tubes is 48.3 ft2/ft ,  so that

                 UQ  = 1500 Btu/ft3 hr F

           The total volume available for this vapor generator is  1. 53  ft ,
           so that based on the above  figure, the maximum AU product with
           this configuration (neglecting wall and liquid heat transfer resis-
           tances)  is 2290 Btu/hr°F, less than the 3870 Btu/hr°F  required  to
           meet  the specified performance.  Clearly the entire  matrix cannot
           be made up of one half inch plain tubing.

           One quarter inch tubing in  an array similar to that of the one half
           inch tubing has an a of 96.6 ft2/ft3,  so  that

                 Ua  = 3660 Btu/ft3 hr°F
                                   328

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            based on properties at temperatures typical of the cooler end of
            the exchanger.  The matrix may be made up of a combination of
            one-half inch and quarter-inch tubing.  Such a combination is
            four rows  of one-half inch tubing,  30 tubes  per row,  and ten  rows
            of one-fourth inch tubing, 60 tubes per row.

Step 11     The gas side pressure drop for this  configuration may be computed
            to be 2.9 inches of water.  This is within the  design maximum limit.

Step 12     It can be shown for this geometry  that the inside wall temperature
            in the last row of the one-fourth inch tubing is not critical with all
            60 tubes in parallel,  and since this flow path configuration yields
            a simple manifolded return bend arrangement for the entire small-
            tube section,  it is chosen for the entire quarter inch tube section.
            At the connection between the one-fourth and one-half inch sections,
            the flow goes into a 10-tubes-in-parallel arrangement, so that six
            one-fourth inch tubes feed each of 10 one-half inch tubes.  Each
            of the 10 streams in the one-half inch section therefore  makes
            three passes across  the exchanger in each row, for a total of 12
            passes between the last one-quarter  inch tube row and the super-
            heater vapor outlet.

Commentary on the Design:

       The one-fourth inch section of this exchanger contains 60 tubes.
Because the effectiveness is very near one, a  small decrease in performance
yields  a large decrease in tube number, and in weight.  After consultation
with Aerojet, Solar, and EPA personnel,  the effectiveness and efficiency were
decreased,  so that the one-fourth inch tube section was reduced to seven rows.
The  consequences of this change are discussed in Section C of this report.

       Portions of this exchanger could very well be designed with finned
tubing  as well as plain tubing. Some precautions associated with such a
change are noted in the description of the  Design Steps.  It should be clear
that  there are many configurations which will  satisfy the particular design
requirements, and that choices  must be made  frequently on the basis of cost,
materials and component availability, fabrication techniques,  and other con-
siderations not related to the  heat transfer calculations.

C.  Effects of Thermal Efficiency Specification

       The usual definition of thermal efficiency of a combustor-vapor
generator assembly is the ratio of the heat transferred  to the working fluid
divided by  the heat of combustion of the fuel added. This  definition may be  •
formed either with the lower or higher heating value.   Therefore,
                                   329

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                     C

             LHV ~   W (LHV)
(20)
where
               7?  is the thermal efficiency
               C  is the combustion products  capacity rate
             Tjn  is the combustion products  temperature into the vapor
                 generator
            T  .  is the combustion products  temperature out of the vapor
                 generator
             Wp  is the flow
            LHV  is the lower heating value of the fuel

       For an efficient combustor with small heat loss,  Equation (2) may be
written
                      C (T.  -
           *I*V =  C(T.  -T    h)                                 (21)
                       v  in   comb'

where

           T    i is the  air (and fuel) temperature at the combustor inlet

The heat exchanger effectiveness is defined as the ratio of the heat trans-
ferred to that which would be transferred in an infinite counterflow heat
exchanger, i.e. , for  the condition of zero temperature difference between
the inlet cold side temperature and the outlet hot side temperature.   Therefore,

                 C(T.   - T   )
            C =     "  _°"t                                         (22)
where
                C
           T •  is the inlet cold side temperature
The quantity (. cannot exceed unity.

       These two expressions, (21) and (22), can be combined to yield a
relationship between €. and 77.

                        (T.  - T  . )
                                                                     <23>
                         .
                         in    comb
                                  330

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       The efficiency of a boiler-vapor generator combination is limited by
the difference between the ambient air and the working fluid inlet, even with
very large heat exchangers, where € approaches unity.

       A graph of Equation (23) utilizing a 2500°F peak combustion products
temperature, a 70°F ambient and using inlet working fluid temperature as a
parameter, is shown in Figure 13.

       The relationships between  effectiveness and heat exchanger size are
all exponential in form, so that for effectiveness near unity, a small increase
in effectiveness requires a large increase in exchanger size.  Figure  14 is a
graph of heat exchanger size as a  function of inlet liquid temperature and
T)     for a counterflow arrangement.
 -L/rl V

       A detailed analysis of these considerations has been worked out for the
AEF-78  vapor generator, which is a  cross counterflow tube bank made up
partly of one-half inch tubing (in the hot section) and partly of one-fourth
inch tubing  (in the cool section).  Figure 15 shows the percentage change  in
total gas side heat transfer area as a function of thermal efficiency for the
design operating conditions.  The  design operating liquid inlet temperature
is 396°F. It may be seen that the  slope of this curve is very steep.  At the
                 1.0

                 09


                 08

                 0.7


                 06

                 O.5


                 04 -


                 0.3 -

                 02 -
 ILHV = '

IOBTC,N=TCO«>
                             200
                                   300
                                        400
                                              5OO    60O
                             INLET LIQUID TEMPERATURE, 'f
FIGURE 13.  RELATIONSHIP BETWEEN THERMAL, EFFICIENCY,  EFFECT-
             IVENESS,  AND INLET LIQUID TEMPERATURE
                                    331

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                             200    300     400
                            INLET LIQUID TEMPERATURE ,*F
FIGURE 14.
VAPOR GENERATOR SIZE AS EFFECTED BY EFFICIENCY
AND LIQUID INLET TEMPERATURE 70°F AMBIENT AIR
85 percent efficiency level, a one percent change in thermal efficiency causes
a ten percent change in required heat transfer area.

       For this particular vapor generator, the design thermal efficiency was
very difficult to meet within the required volume, and the one-fourth inch tube
section consisted of a rather formidable number of tubes.  Discussions
between Geoscience, Solar, Aerojet and EPA led to a reduction in the thermal
efficiency requirement to simplify the matrix.  A graph of the relationship
between heat transfer area, thermal efficiency,  and number of one-fourth
inch tubes  is shown in Figure 16.

D.  Factors Affecting Gas Side Pressure Drop

       Two equations are given by Kays and London for heat exchanger
pressure drop.  For simplicity,  the equation appropriate to tube banks will
be used here.  The following arguments hold for both.

       The pressure drop relationship is
                                                                     (24)
                                   332

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                      too


                      96

                      96

                      94


                      92

                      90


                      88


                      66

                      84

                      62


                      80

                      78

                      76


                    f  74

                      72

                      70


                      68

                      66

                      64
                          I   I  I   I  I   I   I  I   I   I
                       68  70 72  74  76  78  8O  82  84  86 86  90
                                n THERMAL EFFICIENCY, PERCENT
FIGURE 15.  EFFECT OF VAPOR GENERATOR THERMAL, EFFICIENCY
              UPON REQUIRED HEAT TRANSFER AREA OF AEF-78 MATRIX
             m
             >c
where
            Ap    is pressure drop
            G     is mass velocity,  w/Ac (It is based on minimum free flow area)
            P-.     is inlet gas density
            P^    is outlet gas density
                  is mean gas density
                  is the proportionality constant in Newton's second law
                  is the ratio between free flow area and frontal area for the
            O     matrix
            f      is friction factor
            A     is heat exchange area
            A     is minimum free flow area
            w     is mass flow rate

        For simplicity,  density variations are neglected in this discussion
(first term in the square brackets).  In a real combustion heated vapor genera-
tor, flow accelerations and density changes may not be neglected.
                                     333

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                 120

                 no

                 100

                  95

                  90

                  85

                  80

                  75

                  70

                  65

                  60

                  55

                  50

                 45

                 40
                  35
ROWS «GO TUBES
                   76  77 78  79  80  81  82  83  84  85  86  87
                             IJ THERMAL EFFICIENCY, PERCENT

  FIGURE 16.  AEF-78 VAPOR GENERATOR EFFECT OF THERMAL
                EFFICIENCY  UPON HEAT TRANSFER AREA REQUIRED


       Since the design mass  flow rate and not mass velocity is specified,

make this substitution.  Then  Equation (24) becomes
            AP  =
                    w
 fA
2g~
                      (25)
where
            A, is the heat exchanger frontal area
It may be clearly seen that both frontal area and contraction coefficient a have
a very strong effect upon the pressure drop.

       For typical heat exchange configurations, the conductance variation
with Reynolds modulus may be written in the form
               = KRe
                      'm
                      (26)
                                     334

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where
            h     is heat transfer conductance

            K    is a constant dependent upon the configuration, but also
                 combining some gas properties dependent upon the heat
                 exchanger operating conditions

            m    is approximately constant, and varies between 0.38 and
                 0.55 for must surfaces

            Re   the Reynolds modulus, is 4 r.

Equation (26) in its expanded form, is
           h  =
                                   (-m)
                       -  m)
 rhY   1 /  1  \(1
T)    J(£)
Equation (27) indicates the manner in which the gas side conductance depends
upon the gas flow rate,  exchanger frontal area, and the matrix contraction
coefficient.

       From this relationship,  the principal reason that the effectiveness
(and efficiency) of a vapor generator rises at part load can be seen.  The
effectiveness is a function of the quantity NTU,  which contains conductance
in the numerator and flow rate in the denominator.  The overall conductance
is controlled by the gas side conductance in the usual vapor generator.  If
the flow rate is decreased,  the gas side conductance decreases to a lesser
extent,  so  the conductance-flow rate ratio (and the value of NTU) increases.
Consequently, the heat exchange effectiveness rises.

       The ratio of pressure drop to heat transfer conductance may be con-
structed from Equations (25) and (27)


            AP       J1 * ">      tA
                                       K
Pressure drop rises with a decrease in free flow area much more rapidly
than does the heat transfer conductance.
                                   335

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                           NOMENCLATURE


q             heat flax

Cp            specific heat at constant pressure

Pr            Prandtl number

\l             viscosity

k             thermal conductivity

€             effectiveness

AU           overall thermal conductance

Z             distance along the tube

P             pressure

J             a function of quality and pressure

A, K          constants

NTU          number of transfer units

St            Stanton number

Re            Reynolds number

W            mass flow rate

x             an exponent which describes, in part,  the dependence of
              Stanton number on Reynolds number, also quality

h             heat transfer coefficient,  also enthalpy

C             capacitance rate

T             temperature
                                  337

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4P            pressure drop

G             total mass flow rate per unit free flow area,  also  steady state
               gain

v              specific volume

O              ratio free flow/frontal area,  or surface tension in Ib/ft

f              fanning friction factor,  or Darcy-Weisbach fraction factor

Ot              ratio gas side heat transfer area/volume, also void fraction

S              transverse spacing,  center to center

D             spacing between tube rows,  center  to center

£p            effectiveness for one tube row

Vv            mean vapor velocity

Rv            volumetric flow  ratio

 p             density

C"C',  m       empirically determined constants

L             matrix depth, also tube length

DH            hydraulic diameter

No            overall surface effectiveness

gc            gravitational  mass-force-time-length conversion factor  (4. 17
               x 108 ft/lbm/lb hr2), or 32.2 ft Ibm/lb sec2

a              exponent describing  dependence of Stanton number on Reynolds
               number

AF            frontal area

V             core volume

M             core weight,  also a loss parameter defined by equation (20)

 6             fin thickness

                                   338

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4J             a small perturbation in the quantity J

©             average surface heat flux for one channel of a parallel flow
               system, or its  La Place transform

H             steady state change in coolant enthalpy as it flows through
               the channel

A, B, C.D,     parameters which depend on the  unperturbed conditions in a
E,0t, B         parallel flow channel

z1             a weighted distance through the heated channel, defined by
               equation (11)

fj   •          a function used to evaluate friction pressure drop in two phase
               flow,  defined in equation (8)  of Appendix VI..

 P             average static density

RQ            void fraction

 A             liquid-vapor volume flow rate ratio

g              acceleration due to gravity

Af             flow area  of heated channel

Li             inlet channel  length

Afi            flow area  of inlet channel

Afe            flow area  of exit channel

F             Darcy-Weisbach friction factor

KJ             entrance loss factor for heated channel

Ke            exit loss factor for heated channel

3P£/3z         pressure gradient due  to friction losses

B, B£          defined in text

Hf             latent heat of vaporization
                                   339

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              tube radius
  TBF

I, through
16

(JO


r, f,

h

Subscripts

sat

crit

f

G

b

min

max

TPF

LO
source
w
              two phase flow friction multiplier

              integrals used in evaluating hydrodynamic stability, defined
              in equations (25 through 30)

              undamped natural frequency

              damping factor

              functions tabulated in Reference (8)

              enthalpy
for saturated liquid

critical (for  dryout)

evaluated at  the mean between bulk and wall temperature

gas phase

average bulk property

minimum capitance side

maximum capitance side

two phase flow

computed assuming the entire flow is in the liquid phase

inlet, or at inlet to the row

exit

liquid phase

source

water
                                  340

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g
w
m
h
c
gas side
tube wall
mean value
hot side
cold side
v              vapor

LPF           computed assuming that only the liquid phase is flowing,
               that is,  total flow rate is G(l-x)
                                   341

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                             REFERENCES


 1.    Duffy,  T. E., Shekleton,  J. R. ,  LeCren,  R. T., and Compton,  W. A.,
       "Low Emission Burner for Rankine Cycle Engines for Automobiles",
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       Harvester for the Environmental Protection Agency, Office of Air
       Programs, Ann Arbor, Michigan, under Contract No. EHS 70-106
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 2.    Tong, L. S., Boiling Heat Transfer and Two Phase Flow, New York:
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 3.    Collier, J. G. , and Pulling,  D. J.,  "Instabilities in Two-Phase
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 4.    Quandt, E.,  "Analysis and Measurement of Flow Oscillations",
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 5.    Kays, W. M., and  London, A. L., Compact Heat Exchangers.
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 6.    Bird, R. B., Stewar,t, W.  C. , arid Lightfoot, E. N. , Transport
       Phenomena.  New York:  John Wiley & Sons (I960).

 7.    Bennett,  J. A.  R.,  Collier, J. G., Pratt, H. R. C. ,  and Thorton,
       J. D. ,  "Heat Transfer to  Two Phase  Gas-Liquid Systems, Part I:
       Steam-Water Mixtures in the Liquid-Dispersed  Region in an Annulus",
       Trans. Inst.  Chem. Engr., Vol. 39,  pp. 113-126 (1961).

 8.    Martinelli, R. C. and Nelson, D.  B., "Prediction of Pressure Drop
       During Forced Circulation Boiling of  Water", ASME Trans. Vol.  70,
       pp. 695-702 (1948).

 9.    Bishop, A. A. , Sandberg,  R.  O. and Tong, L.  S. , "Forced Convection
       Heat Transfer at High Pressure After the Critical Heat Flux", ASME
       Preprint 65-HT-31  (1965).

10.    Tippets,  F.  E. , "Analysis of the Critical Heat Flux Condition in High
       Pressure Boiling Water Flows",  Trans.  ASME  J. Heat Transfer,
       Vol. 86C, pp. 23-28 (Feb. 1964).
                                  343

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11.   •  Yamazaki,  Y. and Shiba, M.,  "A Comparative Study on the Pressure
       Drop of Air-Water and Steam-Water Flows", Concurrent Gas Liquid
       Flow.  Ed. by E. Rhodes, D. S. Scott, pp. 359-380, Plenum Press
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12.     Baker, O. ,  "Simultaneous Flow of Oil and Gas",  Oil and  Gas J. ,
       Vol. 53,  pp.  185-190 (1954).

13.     Chemical Engineering (June 13,  I960).

14.     Tong, L. S., Currin, H. B., and Thorp,  A.  G. II,  "New Correlations
       Predict DNB Conditions", Nucleonics, Vol.  21, No. 5, pp. 43-47
       (1963).

15.     Peterson, J. R. , "The Effect of Swirl Flow Upon the Performance of
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       Engineering Congress in Detroit, Michigan (Jan.  12-16, 1970).

16.     Kent's Mechanical Engineers Handbook, 12th Ed.  New York:  John
       Wiley & Sons (1958).

17.     Kays, William and London, A.  L. ,  Compact Heat Exchangers,
       2nd Edition, New York:  McGraw-Hill Co. (1964).

18.     Carslaw, H. S. and Jaeger,  J.  C. ,  Conduction of Heat in Solids,
       Second Edition, Oxford (1959).
                                  344

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