EPA-R4-72-001
April 1972                    Environmental Monitoring Series
The Growth and Decay
of  Turbulent Mixing
in  the Planetary
Boundary Layer
                             \
                              UJ
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                            Office of Research and Monitoring
                            U.S. Environmental Protection Agency
                            Washington, D.C.  20460

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                                     EPA-R4-72-001

The Growth and  Decay

   of  Turbulent  Mixing

      in the Planetary

      Boundary Layer
                  by

            Dr. R. S. Sholtes

           University of Florida
        Gainesville, Florida 32601
          Contract No. EHSD 71-40
         Program Element No. 1A1009
       Project Officer:  G. C. Holzworth
          Meteorology Laboratory
     National Environmental Research Center
      Research Triangle Park, N.C. 27711
              Prepared for

       OFFICE OF RESEARCH AND MONITORING
     U.S. ENVIRONMENTAL PROTECTION AGENCY
          WASHINGTON, D. C. 20460

              April 1972

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This report has been reviewed by the Environmental Protection Agency



and approved for publication.  Approval does not signify that the



contents necessarily reflect the views and policies of the Agency,



nor does mention of trade names or commercial products constitute



endorsement or recommendation for use.
                                    11

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                          TABLE OF CONTENTS







Introduction  	     1



Objectives  	     2



Methods 	     4



Equipment 	     9



Findings and Discussion 	    11



Conclusions	    95
                                 111

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             THE GROWTH AND DECAY OF TURBULENT MIXING

                  IN THE PLANETARY BOUNDARY LAYER


INTRODUCTION


       It has been wisely said that a problem well understood is

well on the way to a solution.  In the field of air pollution con-

trol, it is safe to conclude that a firm understanding is yet to be

obtained.  Through the efforts of many investigators progress is

steadily being made in understanding this widespread and complex

problem.

       A small but significant part of this effort is that of under-

standing the mechanisms of dispersion and mixing of pollutants in

the lower atmosphere.

       In work preceding this  considerable effort was expended in

examining methods of predicting daily mixing heights using early

morning radiosonde observations of the vertical temperature structure.

                                 2 3
The method described by Holzworth '  was essentially verified for most

daytime hours.     In as much as the method is based upon a redistri-

bution of heat imput to the ground, it would not be surprising to
TlcCaldin,  R.  0.  and R.  S.  Sholtes,  "Mixing Height  Determinations  by
 Means of an Instrumented Aircraft." Final Report N,A,P.C.A.   Research
 Contract No.  CPA 22-69-76,  June,  1970.
2
 Holzworth, G.  C.,  "Mixing Depths,  Wind  Speeds,  and Air Pollution
 Potential for Selected Locations  in the U.S."  Journal of Applied Mete-
 orology, Vol.  6, No. 6,  December,  1967,  pp.  1039-1044.

 Holzworth, G.  C.,  "Large-Scale Weather  Influences  on Community Air
 Pollution Potential in the U.S."   Journal of the Air Pollution Control
 Association,  Vol.  19, No. 4, April, 1969, pp. 248-254.

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suspect that its predictive value would be limited in the late




afternoon when temperatures and radiant energy input rapidly decrease.




The work described by McCaldin and Sholtes  suggested such a phenomena




as illustrated in Figure 1, reproduced from that  report.   These data




suggest an orderly buildup of the mixing height followed  by a rela-




tively extremely rapid decrease or collapse prior to sunset.  Exam-




ination of the figure will reveal that one method of determining the




upper limit was labeled "aircraft turbulence". This method was based




upon sensing the lateral acceleration of the experimental aircraft;




a measure which exhibited a dramatic change upon  passage  from the




turbulent layer upward into the undisturbed air mass above.  While




reducing the data to construct figures such as Figure 1,  the authors




noted a definite decrease in the amplitude of the lateral acceleration




record as the mixing layer or zone experienced the late afternoon rapid




decrease or collapse.  These observations suggested further investi-




gation of this time period using some technique involving the aircraft




lateral acceleration, as an indicator of mixing vigor.






OBJECTIVES





       This project was performed in order to examine the development




and collapse of mixing layeTs with particular emphasis upon the latter




using aircraft motion due to air turbulence  as the primary measured




quantity.  Variations in this process which might be attributed to




cloud cover, urbanization, wind patterns and other meteorological para-




meters were sought.

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         Toward  this end data were collected in several meteorological

  patterns and in one urban (Atlanta)  and  one rural (Gainesville,  Flor-

  ida) setting.   The area of Atlanta used  was densly populated with con-

  siderable  industry and a high percentage of the surface area covered

  by man made structures.   The Gainesville site on the other hand  was

  essentially vegetative surface coverage  distant from any population

  center.
                                                 AIRCRAFT TURB.

                                                 AIRCRAFT TEMP.

                                                 HOLZIORTH
1500-'
                                                              SUNSET: 1732
1000-
 500 -
    0600
                                      TIHE  (HOURS)
                                       FIGURE   I
                     DEVELOPMENT IN MIXING HEIGHT DURING COURSE OF DAY  -
                     AS DETERMINED BY SEVERAL METHODS.
                     GAINESVILLE,  FLA. 10 DEC. 1970

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METHODS





       Data were gathered by making vertical soundings with an




instrumented aircraft and recording signals that would furnish




measures of the mixing height and a function of turbulent energy




levels therein.  Thus, altitude, temperature and lateral acceleration




of the aircraft were sensed and recorded simultaneously.




       As will be explained later, the RMS value of the aircraft




lateral acceleration was monitored and recorded in addition to the




aforementioned three; this value serving as an atmospheric turbulence




indicator.  These parameters as measured are illustrated in Figure 2.




       Basic to the recording of mixing height phenomenon is a re-




liable indicator of altitude.  These data are illustrated on Figure 2,




whereupon it would seem that the aircraft went aloft in a stepwise




fashion.  This appearance is due to the pressure transducer con-




struction and does not interfere with good altitude resolution.   As




indicated this part of the instrumentation is directly readable in




thousands of feet above ground level (AGL).




       Trace #1 illustrates the temperature profile found by the




instrumented aircraft during an afternoon sounding.  Using the




temperature profile, the mixing height is the first point above the




surface at which the profile becomes isothermal (3400 ft AGL in this




case).




       Trace #2 illustrates the form in which the aircraft lateral




acceleration is recorded.  Signal variations represent yaw and lateral

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                            FIGURE 2.
                 EXAMPLE OF DATA AQUISITION

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acceleration experienced by the aircraft;  frequency and amplitude


of the trace is considered to be an indicator of atmospheric

          4
turbulence .  In the mixing layer this turbulence was sufficient


to cause lateral aircraft accelerations on the order of 0.1 g.


Above the mixing layer the engine vibration produced an acceleration


of about 0.02 g.  Thus, there was found to be on the order of a


five-fold difference in accelerometer amplitude below and above


the mixing height.  In most cases, a rather well-defined delineation


between the two zones existed.  Using lateral acceleration the mixing


height is the altitude where this transition occurs (3500 ft  in Figure


2).


    Trace #3 derives directly from this accelerometer trace and


is simply the RMS value thereof, determined electronically using


a ten second averaging time.  For convenience altitudes AGL are


manually superimposed upon this trace.

                                         4
    Franz conducted extensive experiments  in which these RMS


values were correlated with ground based measurements of the lateral


component of the wind as measured by a wind vane.  He concluded


that the RMS of the aircraft accelerometer output was proportional


to atmospheric turbulence and therefore could be used as an atmos-


pheric turbulence indicator.  It  should be emphasized that these


indications are relative one  to another since it was not possible


to obtain a calibration.
4
 Franz, J. J., "Aircraft Accelerometer Studies for Mixing Height
 Determinations."  M.S. Thesis, University of Florida, June, 1970.

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       Using this turbulence indicator,  the mixing height is the




altitude where its value approaches its  base or zero level (3500




ft in Figure 2).




       Figure 3 illustrates the method of reducing each RMS




sounding to useable form.   Due to the nature of an actively mixing




layer, the turbulence indicator levels are anything but constant.




A system was therefore developed whereby the RMS or turbulence




indicator trace was divided into 200 foot altitude intervals within




which the average value was visually established by drawing a




horizontal line at the average amplitude.  This series of values




was then integrated over the entire mixing layer for that day and




time.  The upper limit of  the mixing height was taken as that




elevation (AGL) at which the RMS signal  returned to the zero or




baseline level.




       Satisfactory soundings of the atmosphere were made on 15




days during the period of  15 October, 1970 through 15 December, 1971.




On each day, repetitive soundings were made in order to follow the




temporal development of the mixing height with emphasis on the late




afternoon period.  Flight  speeds were generally 90 mph (IAS).  One




crew member flew the aircraft while the  other operated instruments




and made appropriate notations.

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EQUIPMENT


       A Cessna 172 (Skyhawk) aircraft was used for this activity

The only aircraft modification involved the installation of a larger

than normal alternator to provide the needed power for the instru-

ment package.

       The instrument package with its several components was

approved by the FAA for restricted category operation.  Basically,

these restrictions limited operation to daylight hours and no more

than a two-person crew.

       As installed,  the instruments were capable of measuring eight

parameters, although only four were used in this study.   As previously

indicated, the variables recorded were altitude, lateral acceleration,

temperature,  and RMS of acceleration; all recorded simultaneously on

a null-balance potentiometric recorder.

       All equipment was designed to operate on 110 volt 60 cycle

current.  Power was made available through two inverters operating

from the aircraft 12 volt DC system.  Altitude was determined by

using a potentiometric absolute pressure transducer acting in a voltage

divider network.  Excitation was provided by a regulated power supply.

The output from the transducer was fed directly to the recorder.  An

adjustable zero was provided on this channel of the recorder to accom-

modate barometric pressure changes, adjustments being made at the

beginning of each flight.
 McCaldin, R. 0«, and Johnson, L. W.,  "The Use of Aircraft in Air
 Pollution Research."  J.A.P.C.A., Vol.  19, No.  6, June,  1969,
 pp.  405-409.

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                               10
       Temperature was measured with a linear response ther-

mistor network situated in a DC bridge circuit.   These circuits

proved reliable,  but did suffer from component temperature sen-

sitivity.  Response time of this element was on the order of

five seconds or less.

       Aircraft acceleration was sensed by a potentiometric type

yaw accelerometer rigidly fixed to the airframe.   The total range

of this instrument is + 0.33 g.  Its excitation was through a re-

gulated DC power supply and the output fed directly to the recorder.

       RMS values of the above accelerometer signal were derived

and provided for recording purposes by a Thermo-System RMS volt-

meter.  This instrument provided many time average selections;  for

this study, the 10 second option was found to be optimal.

       As indicated, all variables are routed to a null-balance

potentiometric recorder.  This unit has four channels, thereby

allowing all variables to be simultaneously recorded on a single

chart.  Chart speed for this work was standardized at 1 inch  per

minute.  Ground meteorological instruments were located at Gaines-

ville Airport and Fulton County Airport, Atlanta.   Among the  ob-

servations recorded by the FAA stations at these sites are Total
                                                                 •
Sky Cover and Total Opaque Sky Cover, the latter being of particu-

lar interest in this study.  These observations are defined as fol-

lows:

       Total Sky Cover - The amount, in tenths,  of the entire
       sky that is covered (total sky cover) or hidden (total
       opaque sky cover) by layers at and below a given level.
       This amount cannot be greater than 1.0.

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                                 11
       Opaque Sky Cover - The amount (to. the nearest tenth)
       of cloud layers or observing phenomena (aloft or sur-
       face-based) that completely hides all or a portion of
       the sky and/or higher clouds that may be present.
FINDINGS AND DISCUSSION

       Since the sampling method and extent of soundings resulted

in such an array of data for each day it was decided to group all

data for an Individual day together.  Discussion of each set of data

is located with the data rather than in a continuous text.   Generally

these data clearly show that the atmospheric turbulence and height of

mixing undergo a very rapid decrease in the hours prior to  sunset.

Cloud cover and rainshowers will influence these phenomenon by up-

setting the energy input to the surface and in the case of  rain by the

additional mechanism of direct cooling.

       For each of the 15 satisfactory days of experimentation, two

figures are presented which contain the following:


       a)  Turbulence indicator vs time of day as determined
       using the procedure described by Figure 3.

       b)  Surface temperature vs time of day as recorded hourly
       by the local FAA station.

       c)  Sky opacity vs time of day as observed and defined
       by the local FAA station.

       d)  Surface wind velocity and direction as recorded  by
       the local FAA station.

       e)  Turbulent mixing height vs time of day as determined
       from aircraft data using only ascents.

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                               12
September 13, 1971





       The weather of September 13,  1971 in Atlanta was dominated




by a polar continental air mass and dew points were running in the




fifties.  A weak cold front had passed Atlanta the morning of the




12th, and another weak cold front was approaching from the northwest.




This second front passed through Atlanta late in the afternoon on




the 13th.  Upper winds were north-westerly carrying in dry air;  up




to 18,000 feet.




       The temperature regime in Atlanta for this- date ranged from




a high of 78 to a low of 58.  No precipitation occurred in Atlanta




during the 24-hour period, however,  considerable precipitation existed




to the north and northeast of this area.




       Locally the mixing behavior was somewhat typical having a




buildup then rapid collapse.  The sky cover of 0.5 average did not




seem to overly influence these data wiih the possible exception that




the growth of the turbulent mixing height was stunted.




       During the period 1400-1600 there occurred an increase in sky




opacity which was reflected in the turbulent mixing height after a




short delay period.  This is an outstanding example of the dependence




of mixing height development upon sunshine or radiant energy input to




the earth's surface.

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                         13
                      FIGURE 4.
               ATMOSPHERIC BEHAVIOR
                 ATLANTA, GEORGIA
                 SEPTEMBER 13,  1971
0900  1000 1100 1200  1300 1400 1500  1600 1700 1800  1900 2000 2100
                     TIME - EOT

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                               16
September 14, 1971





       On September 14, 1971,  a high pressure area was  centered




in southern Mississippi and the Atlanta area was  still  in the polar




continental air mass which appeared the previous  day.   Winds  aloft




were northwesterly; about 25 to 30 knots at 18,000 feet.   The air




was comparatively dry and stable with dew points  running  in the




fifties.




       The high temperature for Atlanta this date was  90,  and the




low at 57.  There was no precipitation recorded in the  area during




the 24-hour period.




       This weather regime allowed another normal pattern of  mixing




height growth and decay.

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                             17
                          FIGURE 6.
                   ATMOSPHERIC BEHAVIOR
                      ATLANTA,  GEORGIA
                     SEPTEMBER 14, 1971
0800 0900 1000 1100 1200  1300 1400 1500  1600  1700 1800  1900 2000 2100
                         TIME-EOT

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                                 20
March 24, 1971





       On March 24, 1971, the southeastern United States was




dominated by a large mass of polar continental air centered over




southern Minnesota.  The upper wind flow was north-easterly on




the surface backing to west-north-west up to 18,000 feet.  The air




was relatively dry and stable up to 18,000 feet and winds were fairly




strong; upper winds at 18,000 feet were 80 knots.  The high temp-




erature during this period was 52 and the low 30.  The area of pre-




cipitation barely skirts the Atlanta area and quite possibly some




shower activity was experienced.




       These data also provided what is considered an expected growth




and decay pattern in turbulent mixing.  The clearing sky in the morn-




ing hours contributed this pattern by allowing unrestricted solar




heating.




       There are several interesting observations for this date.




Shortly after the noon hour the sky became clear thus allowing unob-




structed radiant energy transfer.  Surface temperatures continued to




rise, peaking about 1700 hours, the mixing height somewhat followed the




surface temperature pattern but the turbulence indicator displayed a




decaying pattern from the 1400 hours.  There is no readily apparent




reason for this latter behavior.

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                             21
                          FIGURE 8.
                   ATMOSPHERIC BEHAVIOR
                      ATLANTA, GEORGIA
                        MARCH 24, 1971
0700 0800 0900 1000  IIOQ  1200  1300 1400 1500 1600 1700 1800  I9OO 2000
                        TIME - EST

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                               24
March 18, 1971





       On March 18, 1971, a high pressure ridge extending from




Pittsburg, Pennsylvania, to Columbia, South Carolina covered most




of the eastern half of the nation.  The lower level circulation




over Gainesv'lle was from the east.  The winds at 18,000 feet were




west-north-west at 30 to 40 knots.  This was a polar continental




air mass but with moisture coming in at lower levels due to the




easterly winds.  The temperature regime during the 24-hour period




reached a high of approximately 76 and a low of 38.  There was no




precipitation for this 24-hour period.




       This was a clear day with unusually large excursion in surface




temperature.  This resulted in high values of turbulence indicator




with a very dramatic collapse in this indicator and turbulence mix-




ing height near sunset.




       Surface temperature and mixing height roughly peak at the




same hour; some three hours after the turbulence indicator peak.

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                               FIGURE 10.
                        ATMOSPHERIC  BEHAVIOR
                         GAINESVILLE,  FLORIDA
                            MARCH 18, 1971
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-------
                                28
November 17, 1970





       On November 17, 1970,  a weak high pressure area covered




the eastern half of the nation.   The pressure gradient was weak




and Gainesville surface circulation, which was westerly,  was




dominated by a high pressure center in the Gulf about 100 miles




south of Pensacola.  Winds aloft were generally westerly and at




18,000 feet were about 300 ,  at 20 knots.  This was a polar con-




tinental air mass with relatively dry air.   The Gainesville area




experienced a high temperature in the neighborhood of 63 with lows




in the high twenties.   There was no precipitation during the 24-




hour period.




       This was a clear day with a large excursion in surface temp-




erature.  While values of turbulence indicator did not achieve levels




of some other days, they were reasonably high and dissipated in the




late afternoon exhibiting the dramatic collapse along with mixing




height normally found in this time period.   Surface winds were notably




light but westerly.




       Surface temperature and mixing height peak at the same hour;




approximately three hours after the turbulence indicator peak.

-------
                                  29
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   80
   70
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   30
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      FIGURE 12.

ATMOSPHERIC BEHAVIOR

 GAINESVILLE, FLORIDA

   NOVEMBER  17, 1970
                                                              j
      00 0700 0800 0900  1000 1100  1200 1300 1400  1500 1600 1700  1800 1900

                           TIME - EST

-------
               30
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31



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-------
                               32
May 31, 1971





       On May 31, 1971,  a weak high pressure area dominated the




southeastern part of the country.   The canter of the high was




in northwestern Alabama.  The wind flow at lower levels over




Gainesville was north-westerly but very light.   At approximately




L8,000 feet, winds were north-westerly at 30 knots.   The air was




dry and stable.  The temperature regime in Gainesville ranged  from




a high of 88 to a low 55 with no precipitation being experienced




during the 24-hour period.




       Surface temperature and mixing height follow typical pattern




peaking at approximately 1700 hours.  Turbulence indicator pattern




is atypical in that growth stopped as early as 1000-1100 hours, and




did not attain magnitudes that might be expected for a clear day.




Explanation might be associated with light winds and higher than




usual mixing heights attained, thus spreading the energy available




to the higher altitudes.

-------
                                    33
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-------
                               36
January 20, 1971





       On January 20, 1971, Che eastern half of the nation was




dominated by a strong high pressure system centered over north-




western Alabama.  Surface winds over Gainesville were north-westerly




at 5 to 10 knots.  However, winds in the upper atmosphere were rather




strong; at 18,000 feet winds of over 80 knots were reported.  The




temperature during this 24-hour period ranged from -a high of 45 to




a low of 21.  There was no precipitation during the period.




       This was a clear day and the coldest experienced in the test




program.  Turbulence indicator values rose to high levels, drama-




tically decreasing with the approach of sunset.  Turbulent mixing




height followed an expected clear day pattern.  Generally this would




be considered a typical clear day.




       Surface temperature and "mixing height patterns correspond,




each peaking at about 1700 hours.  Turbulence indicator attained a




high magnitude and peaked approximately two hours  earlier at.  1500




hours.

-------
                                 37
   90 f-
   80
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   60
CC
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   30
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       FIGURE 16.

ATMOSPHERIC  BEHAVIOR

 GAINESVILLE, FLORIDA

   JANUARY 20,  1971
1 1 1 1 1 1 1 1 1 1
m
I I
    060007000800 0900 1000 1100  1200  1300 1400  1500 1600  1700 1800 1900

                            TIME - EST

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-------
                                40
January 21, 1971





       On January 21, 1971,  the southeastern United States  was




under the domination of a continuing high pressure system cantered




over north central Florida.   The winds at Gainesville were  near




calm in the morning due to the weakness of the pressure gradient




near the center of the high.   As the high drifted eastward  off the




coast of Florida during the afternoon, winds shifted to southwest




bringing in some low level warm moist air.   This  moisture layer was




very shallow and no precipitation occurred.   The  winds at 18,000




feet were backed around from northwesterly on the previous  date to




west-north-west on the 21st.   They averaged about 30 knots.  The




temperature regime during the 24-hour period ranged from a  high of




63 to a low of 20.




       With clear skies all day, this date experienced an unusually




high temperature excursion from sunup until the high for the day;




some 43 fahrenheit degrees.   Winds were light and variable  in direc-




tion.  The turbulence indicator rose to the highest values  experienced




in these series of experiments.  The turbulent mixing height pattern




was typical for clear weather.




       Surface temperature and mixing height both peaked at approxi-




mately 1600 hours.  Turbulence indicator attained quite high magnitudes.




The combination of high turbulence indicator, reasonably high mixing




height and a quite high surface temperature excursion, would seem to




suggest an influence of the warm moist air.   The  afternoon  entry  of




this air would suggest super adiabatic lapse rates.  Dew point daia

-------
                                41
recorded by the Gainesville FAA station show the entry of  this




moist air.   Sufficient data are not available to confirm the super-




diabatic condition.

-------
90 r-
               FIGURE 18.
        ATMOSPHERIC BEHAVIOR
         GAINESVILLE, FLORIDA
           JANUARY  21  1971
SOO 0700 0800 0900 1000  1100  1200 1300  1400 1500  1600 1700 1800  1900
                       TIME - EST

-------
         43
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-------An error occurred while trying to OCR this image.

-------
                               45
May 7. 1971





       On the 6th of May,  the Bermuda high was centered about




300 miles east of Melbourne,  Florida.   The pressure gradient




indicated that winds would be south-westerly during the day.




On the 7th, the same pressure system dominated the area.   How-




ever, the high had drifted further out to sea and the pressure




gradient weakened considerably.   Some low level moisture was




coming in.  The winds were very light and variable at times at




the surface.  Winds aloft  (18,000 feet)  were west-south-west




at 20 knots.  Dew points on the morning of the 7th were in the




fifties.  Surface temperatures cooled to very near the dew point




during the night so that on the morning of the 7th,  there was




patchy ground fog all over north Florida.  This,  however,  dissi-




pated quickly after sunrise due to the dryness of the air aloft.




       The temperature regime for this date ranged from a high  of




89 to a low of 59.  There was no precipitation reported in the




Florida area.




       This was a day with partial but continuous sky opacity.




The turbulence indicator pattern has an unexplained dip at the  time




period that its maximum value might have been expected.   Turbulent




mixing height displayed a typical pattern with possibly a slower




collapse rate than observed on some clear days.




       Surface temperature and mixing height followed similar pat-




terns, both peaking about  1600 hours.   Turbulence indicator also




peaked at this approximate time.   The several peaks  are not as  well




defined as those occurring on some of the days with no cloud cover.

-------
                                46
90 r-
       FIGURE 20.
ATMOSPHERIC  BEHAVIOR
 GAINESVILLE, FLORIDA
       MAY 7,  1971
  3800 0900 1000  1100 1200  1300 1400  1500 1600  1700 1800 1900 2000 2100
                         TIME - EOT

-------
47

-------
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-------
                                49
May 5, 1971





       On May 5, 1971 an eastwardly drifting high pressure center




was located about 300 miles east of Daytona Beach.   The Gainesville




area had near calm in the morning but by afternoon winds became




light south-easterly.  Some low level moisture existed due to the




winds off the adjacent sea.  The winds at 18,000 feet were about




320  at 20 knots.  This was a dry and stable air mass.   The tempera-




ture regime during the 24-hour period ranged from a high of approxi-




mately 83 to a low of 47.  There was no precipitation reported dur-




ing this period.




       This was a day with continuous but partial sky opacity.  Sur-




face winds were light and variable.  Other parameters exhibit what




might be considered expected behavior with respect to buildup and




collapse of the mixing layer.




       Surface temperature and mixing height followed similar pat-




terns, both peaking at about 1600 hours.   Turbulence indicator also




peaked at this approximate time.  The several peaks are not as  well




defined as those occurring on some of the days with no cloud cover.

-------
                                  50
90-
   80 -
                              FIGURE 22.
                        ATMOSPHERIC  BEHAVIOR
                         GAINESVILLE, FLORIDA
                              MAY 5,  1971
QC.
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    0800 0900 1000  1100
                   1200 1300  1400  1500 1600 1700 1800 1900 2000 2100

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-------
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-------
52



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-------
                              53
May 24, 1971





       On May 24, 1971,  there was a high pressure centered  300




miles east of Wilmington,  North Carolina.   The  high pressure  ex-




tended all the way up Hudson Bay.  There was  an intense  low pres-




sure system over the western great lakes with a trough extending




to southern Texas.  This deepening low pressure system and  trough




in combination with the high produced a strong  pressure  gradient.




Surface winds for the day were generally southeast to southerly.




The winds at 18,000 feet were about 340 ,  at  15'knots.   The temp-




erature in Gainesville ranged from approximately a high  of  88 to




a low of 60.  There was no precipitation report for Gainesville




during the 24-hour period.




       An interesting day in that the sky opacity increased during




the morning thereafter decreasing in the afternoon,  becoming  clear




again before sunset.  Some anomaly occurred at  approximately  1500




hr. as reflected in a sharp decrease in turbulence indicator  and




turbulent mixing height.  No data available seem to explain this




behavior.  The possibility exists that a local  rainshower occurred




and did not get recorded on the weather observation sheet.  The




rapid collapse prior to sunset is still evident, having  occurred  some




time after the above anomaly.

-------
90 h
80 -
      FIGURE 24.
ATMOSPHERIC  BEHAVIOR
 GAINESVILLE, FLORIDA
      MAY  24, 1971
  08000900 1000  1100  1200 1300 1400  1500 1600 1700 1800  1900 2000  2IOO
                           TIME- EOT

-------
                 55
1
      1
                         13SNDS
                                     t\J
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(0      in    *     »o     evj
    c.oi x u - lev aannnv

-------An error occurred while trying to OCR this image.

-------
                                 57
June 22, 1971





       The Florida weather of June 22, 1971 was dominated by




a high pressure center located over the central section of the




peninsula.  Temperatures ranged from a high of 93 to a low of 73.




Winds in the Gainesville area at about 18,000 feet were west to




west-north-west at 20 knots.




       This was a typical summer day in Florida with cumulus




buildups leading to local thunderstorms in the early afternoon.




All data reflect the cooling effect of shower activity.   It is




interesting to note the recovery of turbulence indicator and tur-




bulent mixing height with clearing skies in the later afternoon




hours and the collapse of this recovery at a time expected due to




approaching sunset.

-------
                               58
90 -
                           FIGURE 26.
                    ATMOSPHERIC BEHAVIOR
                     GAINESVILLE, FLORIDA
                         JUNE 22, 1971
08000900  1000  1100  1200 1300  1400 1500 1600 1700 1800 1900 2000 2100
                         TIME - EOT

-------
59

-------An error occurred while trying to OCR this image.

-------
                              61
April 21, 1971





       On April 21, 1971,  a weak high pressure system centered




approximately 400 miles southeast of the southern tip of the




Florida peninsula dominated the Gainesville weather.   Surface




winds were light due to the weak pressure gradient and generally,




southwesterly.  Dew points were in the sixties and some ground




fog occurred during the morning hours which quickly burned off.




The maximum temperature attained was 85 and the low 59.   The low




level winds bringing moisture off the Gulf produced considerable




cloudiness during the day.  Winds at 15,000 feet were about 300  ,




at 25 knots.  No precipitation occurred at Gainesville during




the 24-hour period.




       The above cloudiness appeared at Gainesville just prior to




noon.  This increase in cloud cover stunted the continued increase




in turbulence indicator and turbulence mixing height.   In spite  of




the cloud cover however these two parameters experienced the rapid




collapse in the hours preceding sunset.

-------
                                   62
  90 -
  80
   70
   60
CE
O
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UJ
o
z
UJ  40
CD
cr
   30
   20
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       FIGURE 28.

ATMOSPHERIC  BEHAVIOR

 GAINESVILLE, FLORIDA

     APRIL 21, 1971
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                                66
June 4, 1971





       On June 4, 1971, the southeastern United States  was  dominated




by a large but weak high pressure system.  The high had two centers,




one over eastern Kentucky and the other over eastern South  Carolina.




This put the Gainesville area on the southern part of the high and




surface winds during the day were easterly.  Considerable low level




moisture caused some patchy ground fog in the early morning which




soon dissipated due to the dryness of the upper air.  Winds aloft




were very light and variable.  At approximately 18',000  feet,  winds




were easterly at 5 knots or less.  No precipitation occurred at Gaines-




ville during the preceding 24-hours and the temperature ranged from a




high of approximately 90 to a low of 68.




       Considerable cloud cover was experienced all day.  The turbu-




lence indicator data reflect a brief effect of & local  rainshower.  The




rate of collapse of turbulence indicator and turbulent  mixing height




is less than experienced on a clear day.

-------
                               67
90 r
80 -
      FIGURE 30.
ATMOSPHERIC BEHAVIOR
 GAINESVILLE, FLORIDA
      JUNE 4, 1971
 0800 0900 1000 MOO  1200 1300  1400 1500 1600  1700 1800 1900  2000 2100
                         TIME  - EOT

-------
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-------
                               70
June 15, 1971





       June 15, 1971 was a typical summer meteorological situa-




tion.  The Bermuda high extended into the Gulf of Mexico with




high pressure centered about 300 miles south of New Orleans.




The surface circulation was generally south to southwest bring-




ing in considerable moisture.  The winds at about 18,000 feet




over Gainesville were northwesterly during the day, at 10 knots




or less.  The temperature regime ranged from a high of 93 to a




low of 73.




       A truly cloudy day with considerable rain and thunder-




storm activity.  These activities led to the reduction of tur-




bulence indicator and turbulent mixing height at an early hour.




Surface temperatures dramatically reflect the thundershower cool-




ing effect.  It should be appreciated that turbulence surely existed




in and near these thundershowers.  Aircraft operations were continued




"in between" such formations.

-------An error occurred while trying to OCR this image.

-------
        72
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                               75
CHANGE IN LAPSE RATES DURING COLLAPSE PERIOD





       Lapse rates for the days  and hours  involved  in  the  study




are summarized in Table I.  These rates  were  determined within




the mixing layer, usually from 200' to 2200'  above  the surface.




During the late hours the mixing layer is  ill-defined  due  to  the




very rapid collapse being experienced;  in  which  case the above




system of determining this rate  was used;  i.e. no attempt  was




made to restrict the lapse rate  determination to a  height  within




the mixing layer.  While there are large deviations, it would




seem that the lapse rate becomes more stable  with the  approach




of sunset.

-------
           76
         TABLE I

Mixing Height Lapse Rates
 with Approach of Sunset
Date
01/21/71

09/13/71




03/18/71




09/14/71



03/24/71


04/21/71




11/17/70


05/05/71




05/07/71
Time
1605
1810
1315
1530
1730
1820
1855
1340
1535
1655
1750
1840
1440
1630
1740
1825
1410
1530
1855
1420
1530
1650
1830
1855
1110
1620
1750
10L9
1405
1550
1815
1945
1010
Time of
Sunset
1757

1949




1838




1949



1843


1900




1745


1909




1910
Lapse Rate
QC/IOO M
0.917
0.753
0.973
0.918
0.868
0.835
0.835
0.902
0.933
0.737
0.836
0.737
0.983
0.885
0.885
0.738
0.885
1.00
1.05
0.852
0.836
0.786
0.770
0.606
1.00
0.852
0.902
0.787
0.860
0.590
0.830
0.787
0.750

-------
                               77
                             TABLE I
                            Continued
                    1320                                 0.967
                    1500                                 1.007
                    1630                                 1.065
                    1830                                 1.190
                    1850                                 0.950
                    1920                                 0.885
                    1955                                 0.935
05/24/71            1035              1921               0.983
                    1310                                 0.983
                    1545                                 1.000
                    1730                                 1.037
                    1840                                 0.871
                    1915                                 1.037
                    1925                                 0.837
05/31/71            1350              1923               0.904
                    1650                                 0.960
                    1810                                 0.950
                    1930                                 0.917
06/04/71            1245              1925               0.721
                    1530                                 0.902
                    1640                                 0.787
                    1750                                 0.982
06/15/71            1010              1931               0.819
                    1110                                 0.950
                    1300                                 1.068
                    1630                                 0.640
06/22/71            1000              1932               0.492
                    1210                                 0.982
                    1425                                 0.862
                    1600                                 0.656
                    1730                                 0.852
                    1815                                 0.819

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                               78
MAPPING OF MIXING HEIGHT OVER URBAN AREAS





       Attempts were made to map the mixing height over Atlanta on




3/24/71; over Jacksonville, Florida on 12/11/71 and Tampa,  Florida




on 12/12/71.  The first two showed very little in the way of a heat




island.  The data of 12/12/71 at Tampa, however,  did reveal such an




effect, with an increase in the upper limit of turbulence on the




order of 400-500 feet.   These data were taken approximately 3-4




hours before sunset at which time the turbulent mixing should have




been at its maximum.  Weather was clear with widely scattered clouds




over the downtown area.  This procedure was found to be very




difficult from an operational point of view.  For any future work




in this area a different approach would be suggested, such as exam-




ining the turbulence indicator amplitude at some uniform altitude




while quickly traversing the urban area in downwind and cross-wind




directions.

-------
                                79
DIURNAL VARIATION OF TURBULENCE INDICATOR WITH HEIGHT





       As explained in Figure 3,  in the reduction of data the




turbulence indicator was evaluated at 200 foot intervals  for




each sounding and an integrated value for the sounding used for




diurnal plotting purposes.   Absent from this system is any in-




dication of the behavior of turbulence as evidenced by this "tur-




bulence indicator" as a function of height above the earth's sur-




face.  These data are too numerous to present here in their en-




tirety.  Generally this turbulence indicator, and therefore tur-




bulence, was greatest at or near the surface with a progressive




reduction up to the limit of turbulent mixing.  Also the magni-




tude of this indicator increased with time throughout the active




mixing layer, maintaining the reduction in magnitude with height,




until that time of day when the inverse process or decay began.




During the decay period, the general period pattern was that the




magnitude of turbulence decreased at all levels, with the near  sur-




face levels maintaining the largest although decreasing magnitudes




until virtually all the energy had dissipated and no significant




turbulence was measurable.   These phenomena are illustrated in




Figures 34 through 41.  The apparent discontinuities or departures




from a linearly reducing magnitude with height are attributed to




the cell structure of atmospheric mixing combined with the fact that




the aircraft was moving through the mobile system rather than sound-




ing in a strictly vertical  path.

-------
                   80
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                     FIGURE 34.
         DIURNAL VARIATION OF TURBULENCE
                   WITH HEIGHT
                  24 MARCH 1971
                 ATLANTA, GEORGIA
                            SUNSET 1845
                                     I
                                         J
    0   2   4   6   8   10   12   14   16
     TURBULENCE INDICATOR - Scale Divisions

-------
                          81
                        FIGURE 35.

             DIURNAL VARIATION OF  TURBULENCE

                    AT GIVEN ALTITUDE

                     24 MARCH 1971

                   ATLANTA,  GEORGIA
   15 r
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5  10
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    SUNSET I84S
   0700    0900      1100     1300

                            TIME
1500
1700
I9OO

-------
                  82
                   FIGURE 36.
       DIURNAL VARIATION OF TURBULENCE
                WITH  HEIGHT
              17 NOVEMBER 1970
            GAINESVILLE, FLORIDA
5r
                          SUNSET 1750
 0   2   4    6   8    10   12   14   16
  TURBULENCE INDICATOR - Scale Divisions

-------
                          83
                        FIGURE 37.

            DIURNAL  VARIATION OF TURBULENCE

                   AT GIVEN ALTITUDE

                    17 NOVEMBER 1970

                 GAINESVILLE,  FLORIDA

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                    84
                     FIGURE 38.

          DIURNAL VARIATION OF TURBULENCE

                   WITH HEIGHT

                  21  APRIL 1971

              GAINESVILLE, FLORIDA
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                            SUNSET 1900
        I
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    0   2   4    6    8   10   12   14   16   18

     TURBULENCE INDICATOR-Scale Divisions

-------
                           85
                        FIGURE 39.
            DIURNAL  VARIATION OF TURBULENCE
                   AT GIVEN  ALTITUDE
                     21  APRIL 1971
                 GAINESVILLE,  FLORIDA
   15
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   0700
                                       SUNSET 1900
0900
1100
 1300
TIME
1500
1700
1900

-------
                        86
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                      FIGURE 40.
          DIURNAL  VARIATION OF TURBULENCE
                    WITH  HEIGHT
                   18  MARCH 1971
               GAINESVILLE,  FLORIDA
                    1340
                              SUNSET 1838
     0246    8   10   12   14   16
      TURBULENCE INDICATOR - Scale Divisions

-------
                          87
                        FIGURE 41.

            DIURNAL  VARIATION  OF TURBULENCE

                   AT GIVEN ALTITUDE

                     18  MARCH 1971

                 GAINESVILLE,  FLORIDA
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                                     SUNSET 1838
\2000 AGL
             I
   0700    0900      1100      1300     1500     1700     1900


                            TIME

-------
                                88
CORRELATION OF MEASURED AND PREDICTED MIXING  HEIGHTS





       Using those days for which an early morning  temperature




sounding existed,  a correlation was established  between  the




measured turbulent mixing height and that predicted by the Holz-




worth technique, similar to the study of reference  1  .   Antici-




pating poor results during the late afternoon period  of  turbulent




energy decay, the study was partitioned into  an  examination  of




data taken prior to the beginning of the decay and  that  taken af-




ter this point in time for a particular day.   Figure  42  illustrates




these data prior to the decay, which are comparable to those of re-




ference 1, Figure 4.  These data herewith presented have a correla-




tion coefficient of 0.68 versus 0.87 of those in reference 1. The




reduced level of correlation could be due to  the inclusion of cloudy




days in the current investigation.  Similar data for  the measurements




taken during the decay period are shown in Figure 43. As expected,




there is considerably more scatter and the correlation is not as  good.




It is interesting to note that although the data are  scattered,  the




line of best fit, forced through the origin,  is  very  close to the ideal,




indicating a random scatter.

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                               92
DIURNAL MAXIMA OF TURBULENCE.  TEMPERATURE AND MIXING





       In an effort to better understand the interrelationships




of surface temperature, turbulent mixing height and turbulence in-




dicator, Table II was prepared which lists the hour at which each




of these parameters reached its peak on the test days.




       Surface temperature peaked at an earlier hour than turbu-




lent mixing height on six out of twelve days, the inverse happen-




ing on three days, the inverse happening on three out of twelve.




The above six days were distributed among various- degrees of cloud




cover.  The data suggests a delayed reaction of mixing height to




surface temperature but is not conclusive.




       Turbulence indicator peaked at an earlier hour than surface




temperature on nine out of twelve days, the inverse happening on




two occasions each of which had significant cloud cover.




       Turbulence indicator peaked at an earlier hour than turbulent




mixing height on twelve out of twelve days.  Generally the time sep-




arations were significant.




       These combinations suggest that the time progression of peak-




ing events is turbulence indicator, surface temperature and finally




turbulent mixing height.  The time differential between the latter two




is less distinct.  Radiant energy data on several of these experimental




days were available.  Review of these data indicates that both all wave-




length and short wave radiant energy peaked at' approximately the same

-------
                                 93
hour as turbulence indicator.   Considering that the majority of




this turbulence is considered  to be a redistribution of radiant




energy, this correspondence would seem reasonable.   It  is  diffi-




cult to reason the delay in surface air temperature increase.  The




delay in peaking of turbulent  mixing height can be  explained on




the basis of time required for the heated air cells to  complete




their rise and resulting establishment of the upper limit  of mix-




ing height.

-------
                                        94
                                    TABLE  II
TIMES OF MAXIMUM PARAMETER
DATE
09/13/71
09/14/71
03/24/71
03/18/71
11/17/70
05/31/71
01/20/71
01/21/71
05/07/71
05/05/71
05/24/71
06/22/71
04/21/71
06/04/71
06/15/71
TEMPERATURE
1600
1700
1700
1600
1600
1700
1700
1600
15-1600
16-1700
1500
NB
1400
1200
ND
MIXING
HEIGHT
1800
1700
1600
1700
1600
1600
1630
1600
1600
1700
ND
ND
16-1700
1500
ND
TURBULENCE
INDICATOR
1700
1500
14-1500
1330
1330
1400
1500
1500
14-1600
1600
ND
ND
1100
1300
ND
INDICATION
CLOUD
C_OVER
.5
0
0-.2
0
0
0
0
0
.2
.2
.4
.6-. 7 Rain & Thundershowers
.6
.7-.&
.8-1.0 Thunderstorms
ND - Not Well Defined

-------
                                 95
                            CONCLUSIONS







       Atmospheric turbulence as measured  by  the  turbulence in-




dicator described herein undergoes an  orderly buildup during the




morning and early afternoon hours and  experiences a rapid decay




throughout its active height in the hours  preceding sunset.




       Turbulent mixing height as measured with an aircraft yaw




accelerometer system also experiences  an orderly  buildup to a maximum




and with the approach of sunset undergoes  a rapid collapse and might be




better described as rapidly losing its identity insofar as defining




an upper limit.




       The total turbulent energy within the  mixing height attains




a maximum level at a time prior to the attainment of a maximum in




turbulent mixing height or surface temperature.




       During the period of decay or collapse in  turbulence and tur-




bulent mixing height, there is a trend in  the lapse rate toward a more




stable condition, however not in proportion to the total decay or col-




lapse in mixing.








              ^U.S. Government Printing Office:  1973--7't6-769/ltlf>3 Region No. 'l

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