Air
&EPA       APT I
            Course 411
            Air  Pollution
            Meteorology

            Student Workbook
            United States         Air Pollution Training Institute    EPA 450/2-81-014
            Environmental Protection    MD 20              April
            Aqency           Environmental Research Center
                          Research Triangle Park NC 27711

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United States
Environmental Protection
Agency
Air Pollution Training Institute
MD20
Environmental Research Center
Research Triangle Park NC27711
EPA 450/2-81-014
April 1981
Air
APTI
Course  411
Air Pollution
Meteorology

Student Workbook
Technical Content:
Donald R. Bullard

Instructional Design:
Marilyn M. Peterson

Northrop Services. Inc.
P.O.Box 12313
Research Triangle Park, NC 27709

Under Contract No.
68-02-2374
EPA Project Officer
R. E. Townsend

United States Environmental Protection Agency
Office of Air, Noise, and Radiation
Office of Air Quality Planning and Standards
Research Triangle Park, NC 27711

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                                   Notice

This is not an official policy and standards document. The opinions and selections are
those of the authors and  not necessarily those of the Environmental Protection
Agency. Every attempt has been made to represent the present state of the art as well
as subject areas still under evaluation. Any mention of products or organizations does
not constitute endorsement by the United States Environmental Protection Agency.
                                Availability

This document is issued by the Manpower and Technical Information Branch, Con-
trol Programs Development Division, Office of Air Quality Planning and Standards,
USEPA. It was developed for use in training courses presented by the EPA Air Pollu-
tion  Training Institute and others receiving contractual or grant support from the
Institute. Other organizations are  welcome to use the document.
This publication is available, free of charge, to schools or governmental air pollution
control agencies intending to conduct a training course on the subject covered. Submit
a written request to the Air Pollution Training Institute, USEPA, MD-20, Research
Triangle Park,  NC 27711.
Others may obtain copies, for a fee, from the National Technical Information Service
(NTIS), 5825 Port Royal  Road, Springfield, VA 22161.
Sets of slides and films designed for use in the training course of which this publication
is a part may be  borrowed from the Air Pollution Training Institute upon written
request. The slides may be freely copied. Some films may be copied; others must be
purchased from the commercial distributor.

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                                INTRODUCTION
The Air Pollution Training Institute has developed Course 411 Air Pollution Meteorology
to train meteorologists, engineers, and physical scientists responsible for measuring and
evaluating meteorological factors that affect the dispersion and concentration of pollutants
in the atmosphere. Meteorological factors and the role they play in the transport and
dispersion of air pollution are presented. You will have an opportunity to calculate
estimates of continuous-release pollutant concentrations and become familiar with
meteorological instruments. Discussions will be held to enable you to evaluate air pollution
control strategies,  and the planning  and interpretation of surveys.
  This workbook is designed to provide you with a guide to the lecture materials.
Included herein are the course goal, course objectives, and lesson objectives and outlines.
  A Study Guide lists reading assignments, homework assignments, and class exercises
associated with this course. The homework problems and class exercises are included in
this workbook.

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                             TABLE OF CONTENTS
 Lesson
 Lesson
Lesson  5:
Lesson
Lesson
6:
7:
Lesson  8:
Course Goal and Objectives	  0-1
Study Guide	  0-2
Lesson  1:  Registration, Course Information, and Pretest	  1-1
Lesson  2:  Radiation, General Circulation, and Meteorological Scales of Motion  	  2-1
        3:  Winds, Temperature, Pressure Systems, and Fronts	  3-1
        4:  Atmospheric Stability and Atmospheric Stability Analysis	  4-1
             Attachment 4-1. Derivation of the dry adiabatic lapse rate	  4-3
             Figure 4-1. Adiabatic diagram	  4-5
             Maximum Mixing Depth Exercises 1 and 2 (and solutions)	  4-6
           Effects of Meteorological Factors on the Transport
           and Dispersion of Air Pollution	  5-1
           Influence of Topography on Atmospheric Motion	  6-1
           Wind Roses and Air Pollution Roses	  7-1
           Figure 7-1. Local climatological data	  7-2
           Fundamentals and Applications of Basic Statistics	  8-1
             Figure 8-1. Wind data for Cincinnati,  Ohio	  8-2
             Figure 8-2. Frequency of occurrance	  8-2
             Figure 8-3. Cumulative frequency distributions	  8-2
             Attachment 8-1. Wind speed: standard deviation	  8-3
             Attachment 8-2. Wind direction: standard deviation	  8-4
             Attachment 8-3. Long term/short term methodology	  8-5
           Problem Set A:  	  9-1
             Atmospheric Stability Analysis (Al.)	  9-2
             Figure Al. Adiabatic diagram	  9-3
             Meteorological Roses (A2.)	  9-4
             Figure A2-1. Local climatological data	  9-5
             Figure A2-2. Air pollution wind rose worksheet	  9-6
             Figure A2-3. Air pollution wind rose graph	  9-6
          Effective Stack Height	10-1
          Basic Principles of Turbulence and Dispersion	11-1
          Atmospheric Dispersion Estimates	12-1
             Figure 12-1. Coordinate system showing Gaussian distributions in
                        horizontal and vertical	12-3
             Figure 12-2. Generalized Gaussian equation	12-3
             Figure 12-3. Generalized Gaussian diffusion equation	12-4
             Figure 12-4. Special forms of Gaussian diffusion equation	12-4
             Attachment 12-1. Dispersion Estimate Suggestion No. 1	12-5
          Class Exercise 1:  Atmospheric Dispersion Estimates	13-1
             Figures 13-1. —13-5. Examples of Dispersion Estimate problems	13-2
          Introduction to the Guideline on Air Quality Models,EPA-4bQ/2-78-Q27	14-1
             Table 14-1. Models applicable to specific pollutants, sources,
                        and averaging times	14-2
Lesson  9:
Lesson 10
Lesson 11
Lesson 12
Lesson 13:
Lesson 14:
                                            v

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 Lesson 15:  Selected Meteorological Instruments	     15_1
             Attachment 15-1. Meteorological instrumentation: advantages
                              and disadvantages	15-2
 Lesson 16:  Meteorological Data Reduction and Sigma y Calculation	  16-1
 Lesson 17:  Class Exercise 2: Meteorological Data Reduction and Sigma y Calculation	  17-1
             Attachment 17-1. Meteorological data reduction exercise sheet	  17-2
             Attachment 17-2. Calculation of OQ   and oy	  17.3
 Lesson 18:  Problem Set B: Effective Stack Height and Dispersion Estimates	  18-1
 Lesson 19:  Air Pollution Climatology, Stagnation, and Forecasting	  19-1
 Lesson 20:  Natural Removal Processes in the Atmosphere	  20-1
 Lesson 21:  Class Exercise 3: Site Analysis	  21-1
             Figure 21-1. Lake Winnemucca	  21-3
             Figures 21-2. —21-4. Wind roses	  21-4
             Table 21-1. Percentage frequencies of annual wind direction and speed ....  21-5
             Table 21-2. Normal precipitation amounts by month	  21-6
             Table 21-3. Summary data sheet for Lake Winnemucca	  21-7
             Table 21-4. National Ambient Air Quality Standards	  21-7
Appendix:  Maximum Mixing Depth (solution) Example 1	  A-3
           Maximum Mixing Depth (solution) Example 2	  A-4
                                           VI

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                       COURSE GOAL AND OBJECTIVES
Course Goal

The purpose of Course 411 Air Pollution Meteorology is to familiarize you with
meteorological factors and their role in the transport and dispersion of air pollution,  with
calculation methods for continuous-release pollutant concentrations, and with
meteorological instruments.

Course Objectives
Upon completion of this course, you  should be able to:
1. describe the effect that solar radiation has on the earth's surface and its resulting
   influence in the atmosphere.
2. identify statements that correctly explain how the topography of an area, relevant
   meteorological factors, and the location of sources collectively effect the transport  and
   dispersion of source emissions.
3. calculate an estimate of plume rise, given relevant meteorological and source
   parameters for a particular site, using the methods suggested by Briggs.
4. calculate an air  pollution concentration estimate for a given source emission at a given
   receptor site using the  Pasquill-Gifford method.
5. choose the proper  method of siting an anemometer from a list of relevant
   meteorological information, topography, and location of sources.
6.  choose the most  appropriate meteorological instrument for site conditions, given
   relevant meteorological information, topography, and source location.
7.  decide which factors must be considered in site selection for  a proposed new source
   given sufficient geographical, topographical, instrumentational, climatological, and
   source data about  a general location and facilities and justify this decision in a report.
                                           0-1

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                                  STUDY GUIDE
 A.  Reading Assignments
     The following reading assignments should be completed as indicated:
     1. Before course begins:
         411 Student Manual,   Section One, pages 1-1 to 1-21
                               Section Two, pages 2-1 to 2-28
         Turner, Workbook of Atmospheric Dispersion Estimates
         Bnggs, Plume Rise
    2. Monday Night:
         411 Student Manual,   Section Three, pages 3-1  to 3-45
                               Section Seven, pages 7-1 to 7-8
                               Appendix, pages 9-7 to 9-8
    3. Tuesday Night:
         411 Student Manual,   Section Seven, pages 7-27 to 7-35
                               Section Six, pages 6-1 to 6-38
                               Section Five, pages 5-23 to 5-34
    4. Wednesday Night:
         411 Student Manual,   Section Five, pages 5-1 to 5-22
                               Section Four, pages 4-1 to 4-12
                              Section Seven, pages 7-9 to 7-26
    5.  Thursday Night:
         Be prepared to present  team answer to Site Analysis Exercise.
         Review all materials to prepare for posttest.
B.  Homework Problems
    The following assignments should be completed and turned in as indicated:
    1. Homework Problem Set A: Due Wednesday Morning
         Stability Analysis, Meteorological Roses, and Mixing Depth
   2. Homework Problem Set B: Due Thursday Morning
         Effective Stack Height  and Dispersion Estimates
C. Class Exercises
   The following exercises are to be completed by instructors and students during class as
   indicated:
   1. Class Exercise 1: Tuesday Afternoon
        Dispersion Estimates Calculations
   2. Class Exercise 2: Wednesday Afternoon
        Meteorological  Data Reduction and Sigma y Calculation
   3.  Class Exercise 3: Thursday Afternoon
        Site Analysis
                                         0-2

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                                   LESSON 1:
                Registration, Course Information, and Pretest
Lesson Goal:            The purpose of this lesson is to familiarize you with the course
                        structure and objectives, to have you meet instructors and other
                        students, to conduct the pretest, to present pertinent logistical
                        information, and to obtain registration information.

Lesson Objectives:       At the end of this lesson, you should be familiar with the basic
                        content and structure of this course.  There are no testable
                        objectives for this lesson.

Lesson Outline:           I. Introduction

                         II. Course Structure and Requirements

                        III. Registration

                        IV. Pretest
                                           l-.l

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                                      LESSON 2:
     Radiation, General Circulation, and Meteorological Scales of Motion
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with the complex
interaction of the sun's radiation and the earth's atmosphere and
surface, the global circulatory patterns,  and the meteorological
scales of motion.

At the end of this lesson, you should be able to:

1. explain the interaction between solar radiation and the
   earth's surface as it affects air pollution.

2. name the four meteorological scales of motion and describe
   the relative horizontal and vertical distances that characterize
   each of them.

  I. Role of Meteorology in the Source-Receptor Relationship

 II.  Radiation

     A. solar radiation

     B. radiation from earth's surface

     C. heat transfer processes

     D. selective absorption in atmosphere

     E. terrestrial reflectivity of atmosphere

III.  Radiation Balance

     A. annually

     B. daytime

     C. nighttime

IV.  Radiation Excess vs. Deficits

     A. radiation absorbed vs. reradiated globally

     B. heat exchange mechanisms
                                           2-1

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  V. General Circulation of Atmosphere




     A.  nonrotating earth case




     B.  rotating earth




     C.  tri-cellular circulation pattern




     D.  zonal vs. meridional circulation




VI.  Meteorological Scales of Motion




     A.  microscale




     B.  mesoscale




     C.  synoptic scale




     D. macroscale
                  2-2

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Lesson Goal:
                      LESSON 3:
Winds, Temperature, Pressure Systems, and Fronts


         The purpose of this lesson is to familiarize you with the
         physical processes that cause wind, the role of temperature in
         meteorology, and the types and characteristics  of fronts.
Lesson Objectives:
Lesson Outline:
         At the end of this lesson, you should be able to:

         1. name the forces that cause wind.

         2. recall the scales of temperatures used and the role of
            temperature in meteorology.

         3. recall the types of fronts and the characteristics of each type.

            I. Awareness of Weather and Its Effects

              A. radio-tv forecasts

              B. planning and probability forecasts

              C. reading surface weather charts

          II. Motion Picture: "General Circulation of the Atmosphere"

         III.  Wind

              A. definition

              B. equations of motion

              C. types of wind

         IV.  Temperature

              A. definition

              B. scales

              C. importance of temperature

          V. Fronts

              A. definition

              B. types of fronts

              C. frontal characteristics
                                          3-1

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                                     LESSON 4:
           Atmospheric Stability and Atmospheric Stability Analysis
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with atmospheric
stability, the characteristics and factors of stability, and the
applications of atmospheric stability to air pollution
meteorology.

At the end of this lesson, you shold be able to:

1. define atmospheric stability.

2. identify three classes of stability.

3. identify the four types of temperature profiles and the
   stability each profile depicts.

     I.  Introduction

   II.  Atmospheric Stability

       A. definition

       B. effect of stability on vertical motion

       C. effect of stability on an air parcel

  III.  Atmospheric Lapse Rate

  IV.  Adiabatic Diagram

       A. composition

       B. examples

   V.  Environmental Lapse Rate

       A. definition

       B. measure of lapse rate

       C. temperature profiles

       D. factors that complicate stability

       E. pseudo-adiabatic lapse rate
                                           4-J

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  VI.  Determining the Stability of a Layer




       A.  lifting air parcel




       B.  subsidence




 VII.  Pseudo-Adiabatic Diagram




VIII.  Mixing Depth




       A.  definition




       B.  calculation




       C.  examples
                        4-2

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             Attachment 4-1. Derivation of the dry adiabatic lapse rate.
The first law of thermodynamics is a statement of the law of conservation of energy for a

thermodynamic system. Thus,


                                   dH=dU + dW                                 (1)


  Where, dH = infinitesimal amount of heat is added per unit mass
          dU = change in internal energy per unit mass

          dW = work done by  unit mass of the system


By integrating the equation of state,  pa= RT, gives the following result,


                                  pda + adp = RdT                                (2)


But remember that dU = Q,dT and dW = pda


  Where, Cv= the specific  heat of air at constant volume


Substituting into the first law of thermodynamics gives,


                                  dH = CvdT + pda                                (3)


Then, substituting for pda from (2) into (3) gives,


                                dH = (Cv+R)dT-adp                              (4)


However, for an isobaric process, dp = 0, so that equation (4) becomes,

                                dH             _
                                —              — L.v + K.
                                dT  p = constant                                   (5)



But.                    dj?              =CP, so  that CP = CV+R,
                        dT  p = constant

Therefore,                        dH = CpdT - adp                                (6)


However, a=RT/p, from equation of state, so that for unit mass,

                                               RTdp
                                  dH = CpdT- —_L                              (7)
                                               Mp


Now, if the process is adiabatic, which means that heat is not added or removed from the
parcel, then:


                                               RTdp                              (s\
                                  dH=CpdT-	- = 0                           (  '
                                               Mp
                                          4-3

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                        Attachment 4-1. (continued).
 Then, rewriting equation (8) gives,
                                  —     RT

                                  dp    CpMp                                        (9^



 From the relationship of pressure to height by using the hydrostatic equation,


                                   dp=-Cgdz                                       (10)


 If you make a substitution for denisty,  e, through the equation of state into (10), then


                                        pM
                                 dp =  —	gdz

                                        RT                                          (11)

Substituting for dp into equation (9) gives,


                                   dT       RT

                                 Mp        C^Mp                                    (12)
                               	gdz        r
                                 RTS

Therefore, after clearing the equation,


                                   dT      g
   Where,  g= gravitational constant,  9.806 m/s/s

           Cp = the specific heat of air  at constant pressure





Equation  (13) is for the dry adiabatic lapse rate,  r,. Water vapor in the atmosphere is
ignored in this derivation.


The value of the dry adiabatic lapse rate is:


                             -5.4°Fper 1000 feet, or


                             - 9.8°C  per kilometer, or


                             -0.0098°C per meter





                                     Example



An example of the dry adiabatic lapse rate is shown on slide 411 4-4 in the lecture series.
                                     4-4

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     1000
     800*

     600
                           Maximum Mixing Depth
                                  Example 1

                  The maximum mixing depth for a day can be
                  estimated from a temperature profile by following
                  these steps:
                   1. Plot the maximum surface temperature
                     for the day on the morning profile.
                     (e.g., 16°C)
                   2. From this point draw a line parallel to a dry
                     adiabat to the point where it intersects the
                     morning profile.
                   3. Read the height above ground at this
                     point. This is the maximum mixing depth
                     (MMD) for the day.
                   4. The MMD on the example profile below is
                     approximately	meters.
                 Now that you have worked this one, please turn
                 page and work the next exercise on your own.
                                            Dry adiabat
     400
     200
Surface 0
             \    \   Vr
	1\
                                              Maximum mixing depth
                                       Typical afternoon lapse rate
               Typical early
              morning profile
                                 10
                                                      Maximum for the day
                                  Temperature (°C)

                                       4-6

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                                     LESSON 5:
            Effects of Meteorological Factors on the Transport and
                            Dispersion of Air Pollution
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with the effect
that wind, atmospheric stability, and fronts have on the
transport and dispersion of air pollution.

At the end of this lesson, you  should be able to:

1.  describe the effect of wind on the transport and  dispersion of
   air pollution.

2.  name the two types of turbulence and the causes of each
   type.

3.  describe the relationship among stability, turbulence, and
   dispersion of air pollution.

  I. Introduction

 II.  Wind

     A.  direction

     B.  speed

III.  Variability

     A.  determination

     B.  eddy

     C.  mechanical turbulence

     D.  thermal turbulence

     E.  wind records and turbulence

IV.  Relationship between Turbulence and Atmospheric
     Stability

     A.  vertical temperature  measurements

     B.  stability categories
                                         5-1

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 V.  Variations of Wind with Height




     A. speed increases




     B. direction changes




VI.  Diurnal Variations of Wind




     A. day/night/day change




     B. reasons
                 5-2

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                                   LESSON 6:
              Influence of Topography on Atmospheric Motion
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize students with the
various ways the physical shape of the earth's surface influences
atmospheric motion and the resultant shape and dispersion of
various plumes from sources.

At the end of this lesson, you should be able to:

1. state the basic effects that topography has on atmospheric
   motion.

2. distinguish between thermal and geometric types of
   topographical influences.

3. identify both thermal and geometric influences for each of
   the four types of topographical shapes.

4. identify plume dispersion characteristics given a particular
   topographical shape.

  I. Introduction

 II.  Types of Topographical Terrain

     A. planar

     B. mountain/hill

     C. valley

     D. urban areas

     E.  land-water interface

III.  Dispersion Characteristics of Topographical Types

     A. flat

     B. mountain/valley

     C. urban

     D. land-water interface
                                          6-.1

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    Attachment 6-1. Climatic changes produced by cities.
   .,,                                     Comparison with
   Element                                  rural environs
   Contaminants
     dust particles	10 times more
     sulfur diox.de	5 times more
     carbon dioxide	10 times more
     carbon monoxide	25 times more
   Radiation
     total on horizontal surface	         15 to 20% less
     ultraviolet, winter	'.'.'.'	30% less
     ultraviolet, summer	      ^m jess
   Cloudiness
     ?ouds	5 to 10% more
     f°g-™ter	100% more
     fog, summer	30% more
   Precipitation

     r°UmSu n ' ' •	5 to 10% more
     days with 0.2  inches	10% more
   Temperature
     annual mean	lto 1.5oFmore
     winter minima	2to3.0°Fmore
   Relative Humidity
     annual mean	6% lesg
     wmter	2% less
    summer	8% less
  Wind Speed
    annual mean	20 to 30% less
    extreme gusts	10 to 20% ,ess
    calms	5 to 20% more
Taken from, "Symposium: Air Over Cities," SEC Technical
Report A62-5,  Public Health Service, Robert A. Taft
Sanitary Engineering Center, Cincinnati, Ohio, 1961.
                            6-2

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 Lesson Goal:
Lesson Objectives:
Lesson Outline:
               LESSON 7:
 Wind Roses and Air Pollution Roses


 The purpose of this lesson is to familiarize you with the various
 methods used to construct wind roses and display wind data, and
 to identify uses for wind  and air pollution roses.

 At the end of this lesson,  you should be able to:

 1. identify the uses of wind  roses and air pollution roses.

 2. identify the different methods of constructing wind roses and
    air pollution roses.

 3. choose correct statements that identify biases present in wind
    data summaries.

   I.  Tabulations of Data  and Wind Roses

      A. older attempts at wind roses

      B. current wind roses in use

      C. data summaries available

 II.  Methods of Construction

      A. wind roses

      B.  air pollution roses

 III.   Biases in Wind Data Tabulations

     A.  wind speed bias

     B.  wind direction

     C.  example of bias

IV.  Correcting Biases by Statistical Means
                                                             /

     A. decalming roses

     B.  debiasing roses

 V.  Applications of Wind  Roses to Air Pollution

     A.  air pollution roses

     B.  visibility roses
                                          7-1

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                                      LESSON 8:
                 Fundamentals and Applications of Basic Statistics
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with the fun-
damentals of statistics and the applications of statistics to
meteorological data.

At the end of this lesson, you should be able to:

1.  choose appropriate statements that give the meanings of the
   arithmetic and geometric mean, standard deviation, and
   frequency distribution.

2.  solve problems that illustrate the arithmetic and geometric
   mean, standard deviation, and frequency distribution using
   meteorological data.

  I. Definitions of  Statistical Terms  and Symbols

     A. population

     B. sample

     C. frequency distribution

     D. measures of central tendency

     E. measures of dispersion

 II.  Basic Formulas

     A. frequency distribution

     B. measures of central tendency

     C. measures of dispersion

III.  Applications of Statistics to Meteorology

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Wind speed categories
Category
1
2
3
4
5
6
Wind speed
0-3
4-7
8-12
13-18
19-24
25-31
Frequency: Fj
50
167
268
193
52
14
Fre-
quency
distri-
bution
744 Total
Relative frequency: Fj/n
0.065
0.225
0.360
0.260
0.070
0.020
Rela-
tive
fre-
quency
distri-
bution
1.000 Total
                   Figure 8-1. Wind data for Cincinnati, Ohio.
300
250
*o. 20°
of
obs. 150
100-
50
0

/ x '
F
di
n !!
requency
itribution
\\x
\ \\.
\
\ N
\ :\
\
\ \ \




	
—
. __ _
— ~—
1 :;

/TTTTTI
1 23456
Wind speed category
                                                             Relative frequency
                                                                distribution
0.390
0.325
0.260
Fi/n
0.195
0.130
Oftfii
n





i
\\x
\\\
i
^%
:^
\\\




	






	
EEEE

///
///
1    23456
   Wind speed category
                      Figure 8-2. Frequency of occurrence.
Cat
1
2
3
4
5
6
Fi
50
217
485
678
730
744


Cumulative
frequency
distribution


Cat
1
2
3
4
5
6
Fi/n
0.1965
0.290
0.650
0.910
(l.!)80
1.000


Relative
cumulative
frequency
distribution

750
600
450
300
150










            123456
        Wind speed category
                                                 Fj/n
0.8
0.4
0.2















 123456
 Wind, speed category
                Figure 8-3. Cumulative frequency distributions.
                                       8-2

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     Attachment 8-1. Wind speed: standard deviation.


 The method of finding the standard deviation of the sample is:

S2= £(X.-X>


 the square root of the variance:

    i
 S= .,        ,
          n-1
Example:

Cincinnati wind data gave the following wind speeds:

X=10.3 mph

n= 31 days

Then,   (X, - X)z

         1.44
         1.69
         2.25
         0.64
         1.21
         4.84
        29.16
        23.03
        51.84
         6.25
         5.76
£ =    275.71

Substituting into the equation for variance found above:

     z_ 275.71 _


Then, taking the square root of the variance is
                              8-3

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          Attachment 8-2. Wind direction: standard deviation.

Example:
Research Triangle Park wind direction trace gave the following data:
 0= 120° (over a 4 hour average)
#j= a  15 minute average of 6
 n=16
and,
Nr.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16

L(8. - 9)1
100
0
25
25
625
100
100
625
100
400
25
25
100
625
1225
1225
5325
e,
130
120
115
115
095
110
110
095
115
140
115
115
110
145
155
155
1940
(60*
16,900
14,400
13,225
13,225
9,025
12,100
12,100
9,025
13,225
19,600
13,225
13,225
12,100
21,025
24,025
24,025
240,550
 S2 =  ... = 355 which is the variance of the direction
      15
Taking the square root of the variance gives the following result:

S=  355=19°
                               8-4

-------
Attachment 8-3. Long term/short term methodology.
The Difference Method:

•x(a,n)-X(S,n) = d
•x(a,N) = d + X~(S,N)

Where,  x~= average of quantity at "a" being reduced
         X = average of quantity at "S"
         S = long-term climatological station
         N = normal period of observation at "S"
         n = short period of observation at "a"
         a = short-term observation station
         d = difference  between  quantity at "a" and "s"

Meteorological uses of  the Difference Method:
   wind direction
   lapse rate
   temperatures
   cloudiness
   number of days with haze/smoke
   snow covered duration

Example: using wind direction
     240°-260°= -20°
     x(a,N) = -20° +290°= 270°

The Ratio Method:
x(a,n) = q = »(a,N)
X~(S,n)'x(S,N)
x(a,N) = qX~(S,N)
Where   xj= n-year average at "a"
         X = n-year average at "S"
        3c(a,N) = normal period average at "a"
         X(S,N) = normal period average at "S"
         q= quasi-constant ratio

Meteorological uses of  the Ratio Method:
   wind speed
   precipitation
   snow depth

Example: using wind speed

   3.1                IT
         =0.72=
    4.3               5.2

    = 3 . 7
                       8-5

-------
                                   LESSON 9:
                                  Problem Set A
          Atmospheric Stability Analysis and Meteorological Roses


Lesson Goal:            At the end of this problem session, you will be familiar with the
                        appropriate methods of calculating maximum mixing depth,
                        determining atmospheric stability,  and plotting air pollution
                        r/-\cf*c
                       roses.
Lesson Objectives:      At the end of this lesson, you should be able to:

                       1.  determine the stabilities of a specified atmospheric sounding
                          using the method given in Atmospheric Stability Analysis,
                          Lesson 4.

                       2.  plot an air pollution rose for a specified local climatological
                          data sheet location.

                       3.  determine the maximum mixing depth for a specified
                          atmospheric sounding.
                                         9-1

-------
                                   PROBLEM Al.
                            Atmospheric Stability Analysis
 Plot on adiabatic diagram (Figure Al-1.)
 The 1200Z (0700L EST) radiosonde observation was:

SFC








Pressure
(mb)
982
966
909
900
883
850
786
756
700
Temperature
<°Q
16.2
23.2
19.0
19.1
19.2
16.8
12.5
13.8
10.8
Dew Point
(°C)
15.2
15.2
10.0
7.3
3.2
0.2
- 7.2
-10.2
-15.5
Height— MSL
meters
297
297



1540


3172
 The winds reported were:
Height above
surface (ft)
Sfc
2000
3000
4000
5000
6000
7000
8000
9000
10000
Direction
(degrees)
200
210
210
240
270
270
270
270
270
250
Speed
(kts)
!5
11
7
4
Ei
7
8
9
b
7
What are the heights above ground level of the bases and tops of the inversion layers? The
maximum recorded temperature for the day was 86 °F. What do you estimate the maximum
mixing depth (MMD) was on this day? What is the 1200Z average wind speed through the
afternoon maximum mixing depth?
                                          9-2

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

-------
                                PROBLEM A2.
                             Meteorological Roses
From the Local Climatological Data Supplement (LCD) provided (see Figure A2 1) con
struct an air pollution rose from Table F that shows the percent frequen™ of restricted
visibility observations due to haze or smoke for at least 3 wind directs  *
  The worksheet for constructing the rose is Figures A2.2 and the graph  is Figure A2.3.
                                       9-4

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

-------
                                                                              *.
          Method A
                                           Method B
                                                                           Method C
  N
   HK
                                  N
                                    HK
                                                                  N-
  OBS
  NNE
                                                                    HK
                                   OBS
                                       HK
      HK
                                  NNE.
                                      •HK
  OBS
                                  OBS
                                      HK
                                  NE
 CALMHK
 OBS
 TOTAL
                                    HK
                                  OBS
                                     HK
                                   CALM
                                         HK
                                   OBSHK
                                   TOTAL
 OBS
                                                                       N
                                                                    NNE,
                                                                      HK
                                                                  OBS
                                                                      'NNE
                                                                  NE
                                                                     'HK
                                                                   OBS
                                                                      NE
CALMHK
OBSCALM
TOTAL
Numerator from row in Table F   ^umerator from row in Table F     Numerator from row in Table F
Denominator from total in Table B   Denominator from total in Table B

                     Figure A2-2. Air pollution wind rose worksheet.
                                                               Denominator from total in Table B
                      NNW
                                                      NNE
             NW
                                                                 NE
   WNW
                                                                        ENE
   wsw
                                                                        ESE
             SW
                                                                SE
                      ssw
                                                     SSE
                   Figure A2-3. Air pollution wind rose graph.
                                        9-6

-------
                                   LESSON 10:
                             Effective Stack Height
Lesson Goal:            The purpose of this lesson is to familiarize you with the
                        engineering and meteorological factors that determine plume
                        rise; with the current plume rise equations used and their
                        applications; and with the plume rise of larger power plants.

Lesson Objectives:       At the end of this lesson, you should be able to:

                        1.  identify the engineering and meteorological factors that
                           determine plume rise.

                        2.  calculate current plume rise equations  and identify their
                           applications.
Lesson Outline:
   I. Important Engineering Factors

     A. height of stack

     B. diameter of stack

     C. exit velocity

     D. temperature of effluent

 II.  Meteorological Factors

     A. wind speed

     B. lapse rate

     C. ambient  air temperature

     D. atmospheric pressure

     E. density

     F. gravity

III.  Current Plume Rise Equations

     A. composition

     B. approaches to  plume rise equations

     C. current formulas
                                         10-1

-------
IV. Slide Sequence of Plumes and Stacks




 V. Modifications for Large Power Plants




     A. Pooler




     B. LAPPES
                    10-2

-------
                                  LESSON 11:
               Basic Principles of Turbulence and Dispersion
Lesson Goal:
Lesson Objectives:
Lesson Outline:
To familiarize you with the causes and typical locations of
turbulence, with dimensionless numbers used in investigating
turbulence, and with the effects that turbulence has on plume
dispersion.

At the end of this lesson, you should be able to:

1. define turbulence.

2. identify the reasons for turbulent production.

3. identify typical  locations where turbulence is often found.

4. identify the effect of turbulence on the dispersion of a
   specified plume.

5. identify the recommended dimensionless numbers used in
   turbulence investigations.

     I. Factors Influencing Dispersion

       A.  wind speed

       B.  wind direction

       C.  mixing height

       D.  plume height

       E.  turbulence

   II. Definitions of Turbulence

       A.  flying

       B.  physical science

       C.  circulation

       D.  simple

   III. Reasons for Turbulent Production

       A.  mechanical turbulent production (shear)

       B.  thermal turbulent production  (heat)
                                         11-1

-------
    IV. Effects of Turbulence




        A.  mixing length theory




        B.  turbulent energy




        C.  momentum transfer




    V. Typical Locations of Turbulence




        A.  near ground




        B.  near clouds




        C.  around obstructions




        D. jet stream




   VI.  Dimensionless Numbers




        A. Richardson number, R, (gradient)




        B. Richardson number, RB (bulk)




        C. comparison of factors




  VII.   Properties of Turbulence




       A. thermal turbulent energy




       B. mechanical turbulent energy




       C. frequencies




       D. eddy size increases with height




VIII.   Gaussian Dispersion Estimates




       A. normal frequency curve




       B.  binormal in x and y




       C.  assumptions




       D.  determination of sigmas




       E.  applications
                  11-2

-------
                                   LESSON 12:
                       Atmospheric Dispersion Estimates
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with the methods
of solving dispersion estimate problems found in air pollution
using the Workbook of Atmospheric Dispersion Estimates
(WADE) by D.B. Turner.

At the end of this lesson, you should be able to:

1. select from the Workbook of Atmospheric Dispersion
   Estimates the appropriate formula and procedure for
   calculating dispersion concentrations given a specific air
   pollution situation with appropriate source data, atmospheric
   factors,  and receptor locations.

2. use the graphs and tables in the Workbook of Atmospheric
   Dispersion Estimates to determine the appropriate data to use
   in  the proper formula given the physical description and
   meteorological data about an air pollution problem.

  I. Estimates of Atmospheric Dispersion

     A. coordinate  system

     B. dispersion equations

     C. standard deviations of wind directions

 II.  Effective Height of Emission

     A. plume rise  (Holland's equation)

     B. estimating  required stack height

     C. effects of evaporative cooling

     D. effect of aerodynamic downwash
                                          12-1

-------
 III.  Special Topics

      A. inversion, breakup, fumigation

      B. plume trapping

      C. comparisons of ground-level concentration to effective
         stack helght concentration from elevated sources

      D. total dosage

      E.  crosswind-integrated concentrations

     F.  sampling times

     G.  topography

     H. area sources

IV.  Example Problems

 V. Appendices
                 12-2

-------
                                                                  (x,  - y, z)
                                                                  (x, - y, 0)
Figure 12-1. Coordinate system showing Gaussian distributions in horizontal and vertical.
               X(x,y,z) =
                          TTffyOzU
        (Jy az = standard deviation of plume width and height
               Figure 12-2. Generalized Gaussian equation.
                                    12-3

-------
   Downwind
 Concentration
 (point source)
                                              Source emission rate
        [Average"!  [Horizontal! [Vertical"!  [Effective!
          wind        plume      plume      emission
        |_ speed  J  [_  spread  J [_ spread J  [_  height  J
                                                    'Receptor
                                                     location
                                                     distance
  Ground level
  source/ground
  level receptor
  Source emission rate
                  n
                  r
                  LsJ
  Elevated source/
    ground level
      receptor
   Elevated source/
    ground level
      receptor
                                Source emission rate

           Hi    rvi    PI
           p     r       5
           sj    LsJ    LHj
                                      'Source emission rate
                                              (not on plume centerline)
               Figure 12-3. Generalized Gaussian diffusion equations.
 Downwind
concentration
 (area source)
                                           Area source emission rate
[Average 1
   wind
[_  speed J
                 "Adjusted ~j [Vertical"!   [ Effectivel
                  horizon      plume      emission
                  plume  11_  spread J   [_ height J
                 _ spread J
 Downwind
concentration
 (line source)
                           Line source emission rate
  Seasonal/ annual
      average
   concentration
                            N
/ j    / j
          [Source emission rate] [Frequencies of w/s, w/d, stability]
                   ("A"]
                    W
                   [sjN
                               fDownwindl
                                 distance
                               L  fa«°r  J
                  Figure 12-4. Special forms of Gaussian diffusion equation.
                                               12-4

-------
 Attachment 12-1. Dispersion Estimate Suggestion No. 1, November 7, 1972
                        (Model Application Branch)
 Subject: Estimation of 3-hour and 24-hour average concentrations
 In order to obtain some degree of uniformity in performing calculations of air
 pollution concentrations from point sources among EPA's air pollution
 meteorologists, the following suggestions are made:
   Calculate plume rise by using methods suggested by Briggs (1970) as modified by
 his discussion (1972).
   Assume that estimates made using equations (excluding equation 5.12, page 38)
 and sigmas suggested by the Workbook of Atmospheric Dispersion Estimates
 (WADE) are valid for averaging times up to one hour.
   To make an estimate of concentrations for a longer averaging time such as
 3-hours or 24-hours, perform calculations for each hour of the period and average
 the hourly concentrations to obtain the concentration for the longer averaging
 time. Since interest is frequently on the maximum concentration during this
 period, the difficulty is in designating the location (azimuth and range) of the
 receptor that will receive the maximum impact from the source. If conditions are
 relatively stationary during this period,  the mean direction and the distance of
 maximum for this stability and wind speed can be used for an  estimate of this
 location. For changing conditions, calculations may  need to be made at several
 receptors to approximate the maximum.
   Because of interest in the estimation of short period maximum concentrations
 (3-hour to 24-hour) with a frequency of occurrence of once per year, a computa-
 tional scheme was recently developed by the Model Application Branch with
 assistance from the Computer Techniques Group, Division of Meteorology to
 estimate the maximum 24-hour concentration for a year for single sources. This
 computational scheme can be considered a "brute force" approach as concentra-
 tions for each hour of the year 1964 (the only year that data from Asheville is
 readily available for 24 hours per day with wind direction to 10°) are calculated
 and the 24-hour concentration  for each day is determined. Concentrations at 180
 receptors (36 azimuths and 5 ranges) are found. An Interim User's Guide has been
 made available for this system.  It is anticipated that  technical review will require
 some modification to the calculations. Validation using air quality data near a
 point source is desirable, if suitable data can be found.  A final User's Guide will be
 prepared and  distributed by the Model Application Branch within the next several
 months.
Briggs, Gary A., 1971. Some Recent Analyses of Plume Rise Observations, pp.
1029-1032, in Proceedings  of the Second International Clean Air Congress,  edited
by H.M. Englund  and W.T. Berry, New York:  Academic Press.
Briggs, Gary A., 1972. Discussion on Chimney Plumes in Neutral and Stable
Surroundings, Atmospheric  Environment 6:  507-510.
                                   12-5

-------
                                    Lesson 13:
                                 Class Exercise 1
                       Atmospheric Dispersion Estimates
Lesson Goal:


Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to reinforce the material presented
in Lesson 12.

At the end of this lesson, you should be able to:

1.  work dispersion estimate problems, given adequate
   information about particular situations.

2.  identify the different forms of the Gaussian equation and
   explain their application to dispersion estimate situations.

I.  Examples of Dispersion Estimates Problems

   A. stability (Figure 13-1.)

   B. centerline concentration from an elevated source, sunny
      summer afternoon (Figure 13-2.)

   C. centerline concentration from ground-level source (Figure
      13-3.)

   D. centerline concentration from an elevated source, cloudy
      day, Stability D (Figure 13-4.)

   E. off centerline concentration (Figure 13-5.)
                                       13-1

-------
                  Example Problems (Figures 13-1.—13-5.)
                            Student Worksheets
Given: Sunny summer afternoon

Windspeed	
Insolation is	
Stability class is.
                  Figure 13-1. Stability: sunny summer afternoon.
Given:  Sunny summer afternoon,
         u=4  m/s, elevated source
         H = 20m       £=100  g/s
                    7T (7y (Tz
                           K  CXP
                                  -K
exp"
Receptor distance 200m
Stability =
Q =
¥ =
ay =
07 =
H =
y =
«>-* [r-1 -
Laz J
[V21
^ =
Vy J
X =

1000m











                  Figure 13-2. Receptor distance: sunny summer afternoon.

                                      13-2

-------
Given:  Clear night, u = 2  m/s,
        ground —level source
        Q,= 100 g/s
Receptor distance 200m
exp
exp
Stability =
Q. =
u =
*v =
°2. =
H =
y =
-vtf^l-
\n7
L L J
-M ->1 =
HT 	
L°y J
x =

1000m











                     Figure 13-3. Receptor distance: clear night.
                               13-3

-------
Given:  Stability "D",
        u = 4 m/s,  elevated source,
        H = 20  m   Q=100 g/s
Q, _ u TH2 1
7rayazu CAP " [a^J
Receptor distance 200m
1
Stability =
Q. =
u =
ay =
07 =

y =

L
Lay J
X =

rvz -
1A
Lay2.
1000m











                      Figure 13-4. Receptor distance: stability "D".
                                      13-4

-------
Given:  Stability B,
        u = 4m/s,  ground —level source
        concentration 50 meters
        off centerline, Q= 100 g/s
                        Q.
                   •  7T <7y (Tz U  CXP
Receptor distance 200m
Stability =
Q. =
u =
ay =

H =
y =
exp ~~ V£ — =
fy2!
exp ~ Vs — =
X =

1000m











                      Figure 13-5. Receptor distance: stability "B".
                                     13-5

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                                  LESSON 14:
           Introduction to the Guideline on Air Quality Models,
                               EPA-450/2-78-027
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with the
Guideline on Air Quality Models and the air quality models
recommended by the guideline for use in air pollution dispersion
modeling.

At the end of this lesson, you should be able to:

1.  recall the models that are recommended for use in air quality
   modeling.

2.  recall the uses of the Guideline as it applies to new source
   reviews, prevention of significant deterioration, and control
   strategies.

  I. Atmospheric Dispersion Modeling

     A. important in new source reviews, control strategy
        analysis, and prevention of significant deterioration

     B. mathematical set of equations

     C. predictive tool

 II.  Guideline on Air Qualty Models

     A. origin

     B. general  description

     C. status and uses

     D. recommended modeling procedures

III.  Workbook for  Comparisons of Air Quality Models

     A. purpose

     B. principal contents

     C. use (practical)
                                       14-1

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Table 14-1.  Models applicable to specific pollutants, sources, and averaging times.
Point Sources
SO2 and PM
All Averaging
Times
CRSTER
RAM
PTXXX models
ISC
VALLEY

Multi-sources
SO2 and PM
Annual
Average
AQDM
TCM
CDM/CDMQC
Rollback


Multi-sources
SO2 and PM
Short-term
Averages
Rollback
TEM
RAM
CDMQC
AQDM

NO2

Annual
Average
Rollback
CDM




°X

1-hour
Average
EKMA
Rollback




CO

1 and 8-hour
Averages
Rollback
HIWAY
PAL
Holzworth
APRAC-1A
APRAC2
                                14-2

-------
Lesson Goal:
Lesson Objectives:
Lesson Outline:
             LESSON 15:
Selected Meteorological Instruments


  The purpose of this lesson is to familiarize you with various
  meteorological instruments that are used for atmospheric
  sampling.

  At the end of this lesson, you should be able to:

  1.  recognize four meteorological instrument requirements.

  2.  identify a meteorological instrument by name given a picture.

  3.  identify statements that correctly site an anemometer at a
     specific location.

    I. Instrument Requirements

      A. durable

      B. inexpensive

      C. convenient

      D. simple

      E. sensitive

      F.  accurate

   II. Speed and Direction Instruments

      A. instruments

      B. recorders

      C.  correct siting

  III. Other Meteorological Instruments

      A. heat

      B.  radiation

      C.  visibility

      D.  humidity

      E.  precipitation

      F.  aircraft-borne instruments
                                          15-1

-------
     Attachment 15-1. Meteorological instrumentation: advantages and disadvantages.
I.  Primary Instrumentation
   A. anemometers
      1.  cup and propeller
         a.  advantages
            1.  linear relationship between sensor output and wind speed
            2.  calibration unaffected by changes in temperature, pressure, or humidity
            3.  measure wide range of wind speeds from 0.25 m/s to 50 m/s
            4.  long-term stability of calibration
            5.  sensor output easily adapts to remote indicator
            6.  wind speed data recording in either analog or digital form
            7.  generally requires little maintenance
         b,  disadvantages
            1.  higher average wind speeds in gusty winds
            2.  higher starting speeds unless made of light materials
            3.  error produced  in periods  of heavy precipitation
      2.  hotwire
         a.  advantages
            1.  instantaneous readout of speed
            2.  used in wind tunnel
         b.  disadvantages
            1.  not linear in relationship
            2.  dust deposits require frequent cleaning
            3.  rain or snow causes large errors
            4.  zero shift in circuit causes  large errors
      3.  pressure-plate
         a.  advantages—none
         b.  disadvantages
            1.  nonlinear drag
            2.  orientation into wind
      4.  bridled cup
         a.  advantages —none
         b.  disadvantages
            1.  distorts wind speed
            2.  inaccuracy at low speeds
      5.  dyne
         a.  advantages—linear relationship
         b.  disadvantages—oriented into  wind
      6.  UVW
         a.  advantages — yields component wind speed in axial direction (x, y, z)
         b.  disadvantages
            1.  requires complex data reduction
            2.  certain wind directions cause  mutual interference
            3.  serious error in heavy precipitation
                                         15-2

-------
Attachment 15-1.  Meteorological instrumentation: advantages and disadvantages, continued.
    B.  wind vanes
        1.  flat plate
           a.  advantages
              1. fast response
              2. high accuracy of wind fluctuations at low speeds
           b.  disadvantages—heavy material gives higher indications of wind fluctuations
        2.  splayed vane
           a.  advantages
              1. durable and reliable
              2. follows very small changes in wind fluctuation
           b.  disadvantages —higher mass than flat plate
        3.  airfoil vane
           a.  advantages
              1. durable and reliable
              2. follows small changes in wind fluctuation
           b.  higher mass than flat plate
 II. Secondary Instrumentation
    A.  temperature
        1.  unaspirated and unshielded thermometers
           a.  advantages —none
           b.  disadvantages —serious error in ambient temperature readings
        2.  aspirated and shielded thermometers
           a.  advantages — accurate ambient readings
           b.  disadvantages — none
                                        15-3

-------
                                    LESSON 16:
            Meteorological Data Reduction and Sigma y Calculation
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with the method
of reducing meteorological data from analog strip charts and
with how to use the results to calculate a sigma y that is
representative of the data.

At the end of this lesson,  you should be able to:

1.  reduce meteorological  data from an analog strip chart of
   wind fluctuations using the method prescribed by Pasquill.

2.  use the results from the reduction of wind data to calculate a
   representative sigma y.

  I. Determining Turbulence:  Background

    A. earlier theories
        1. Fickian
        2. von Helmholtz
        3. Prandtl
        4. Taylor

    B. current theories
        1. Panofsky
        2. Draxler

 II. Sigma Development

    A. Porton, England

    B. calculation of sigma

III. Data Reduction Exercise
                                       16-1

-------
                                     LESSON 17:
                                   Class Exercise 2
       Meteorological Data Reduction and Sigma y Calculation Exercises
Lesson Goal:


Lesson Objectives:
Lesson Outline:
 The purpose of this lesson is to reinforce the material presented
 in Lesson 16.

 At the end of this lesson, you should be able to:

 1. reduce meteorological data from an analog strip chart of
   wind fluctuations using the method prescribed by Pasquill.

 2. use the results from the reduction of wind data to calculate a
   representative sigma y.

   I. Background

     A. wind vanes

     B. standard notation

     C. Taylor's Theory

     D. Hay and Pasquill (1959)

     E. Pasquill (1974)

 II.  Data Reduction Exercise

     A. relationship of terms to a wind reduction trace

     B. assignment of specific instrument trace

III.  Exercise Review
                                        17-1

-------
                   Attachment 17-1. Meteorological data reduction exercise worksheet.
Instrument:




Time period:
Date:
19
Period
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
Total
Time
(min)




























Wind speed
(mph)




























e
(deg)




























es
(deg)




























ft-fl
(deg)




























[9, -91'
(deg)




























                                             17-2

-------
                   Attachment 17-2. Calculation of a a   and CTV
                                                  "7 fa      J
\.  The average wind speed over the period of record:.
   u = w.s. (wind speed average) =	mph =	m/s

2.  The  average wind direction over the period of record:	

   #s = w.d. (wind direction average) =	
         . .£<«s-fl>'
3' \,s
                                      radians*
                                                    I/
                                                    |/
4. %.,.=	degrees =	

   *multiply degrees by 0.0175 to equal radians




5. The applicable downwind distance = x, where:

   T = sampling period = _ minutes

   s = averaging time = _ minutes = _ seconds


   Then:       x = (j8)(u)(s)
                x = (4.0) ( _ ) ( _ )=  _ meters
                x = _ meters

   Therefore:   ay = aa   (x)
                 '     T.S

                <7y = ( _ ) ( _ ) = _ meters
6.  What type of stability is indicated with a ffy of this magnitude?
   (See manual)
                                          17-3

-------
                               LESSON 18:
                              Problem Set B
            Effective Stack Height and Dispersion Estimates
Lesson Goal:
Lesson Objectives:
The purpose of this lesson is to provide practice problems to
familiarize you with appropriate methods of calculating effective
stack height and dispersion estimates.

At the end  of this lesson, you should be able to:

1.  calculate the plume rise using Briggs method to determine
   effective stack height.

2.  calculate the concentrations downwind using the Workbook
   of Atmospheric Dispersion Estimates by Turner.
                                      18-1

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                                PROBLEM SET B
               Effective Stack Height and Dispersion Estimates
1. An electric generating power plant has an eighty meter high stack that is
   3.5 meters in diameter. The effluent gases are emitted at an exit velocity of 15 meters
   per second. The gas temperature is 93 °C and the ambient air temperature is 20 °C.
   Use the Davidson- Bryant equation to find the effective stack height when the wind
   speed is 4 meters per second.

2. Use the conditions stated above and an atmospheric pressure of 1010 millibars. Use the
   Holland equation to calculate the effective stack height.

3. Briggs has published plume rise equations that have been incorporated into dispersion
   calculations involving elevated emissions sources. The equations (modified for distance
   criteria) are:
                                       -J(uYW3; if xX/
                           x* = 14(F)5/8; when F< 55 mVs3
                           x* = 34(F)2/S; when F>55 mVs3
                                     xy=3.5x*


   Where:  Ah = plume rise, in meters
           Q/* = heat emission, in calories per second
           F= buoyancy flux= 3.7X10"S(Q,,),  in meters4 per second3
           u = wind speed, in meters per second
           x = downwind distance, in meters
           x* = distance of transition from first stage of rise to the second stage of rise,
                in meters
           x/= distance to final rise, in meters


   For the power plant described in problems 1 and 2 given the heat emission is 2,440,000
   calories per second, find the plume rise at 350 meters and at 1750 meters downwind.
                                         18-2

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    The power plant described on the previous page burns 12 tons of 2.5% sulfur con-
    tent coal per hour. The effective stack height is 120 meters and the winds are 2 meters
    per second. At one hour before sunrise,  the sky is clear. Using the information
    provided, fill in the table of values from 100 meters to 100 kilometers as given in
    Figure 18.6 below. What is the approximate distance of the maximum concentration,
          under these conditions?
X
'(km)
0.1
1.0
5.0
10.0
20.0
25.0
30.0
50.0
70.0
100.0
ay
(m)










°z
(m)










Q.
TT 0y CTZ U










H
°z










-JHT
e *kj










X
(g/m»)










                    Figure 18-6. Effective stack height and dispersion worksheet.
5. It is estimated that 80 grams per second of sulfur dioxide is being emitted from a
   petroleum refinery from an average effective stack height of 60 meters. At 8 a.m. on
   an overcast winter morning with the surface wind of 6 meters per second, what is the
   ground level concentration directly downwind from the refinery at a distance of 500
   meters?

6. A maximum concentration of 1.7X10'3 grams per cubic meter is measured 600 meters
   directly downwind of a source that has an effective stack height of 50 meters  The
   stability category is "C". What is the probable source strength, x, in grams per second
   it the mean wind speed is 5 meters per second?
                                          18-3

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                                     LESSON 19:
             Air Pollution Climatology, Stagnation, and Forecasting
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with air pollution
climatology, atmospheric stagnation, and the forecasting of air
pollution.

At the end of this lesson, you should be able to:

1.  identify areas of the United States that have the greatest
   percentage of atmospheric stagnation periods.

2.  identify correct statements describing the causes of
   atmospheric stagnation.

    I. Anticyclones

       A. location

       B. preferred tracks

       C. stagnation

       D. empirical studies of stagnation

    II. Inversion Frequencies

  III.  Mixing Depth

       A. morning radiosonde

       B. forecast maximum afternoon temperature

  IV.  Wind Speed

       A. highest seasonal average surface winds

       B. lowest seasonal average surface winds

    V.  Urban Ventilation

       A. mixing height average

       B. wind speed average
                                       19-1

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  VI.  Wind Persistence




       A. data




       B. sectors (16)




       C. percentages




       D. hours




 VII.  Episode-Days of Limited Dispersion (Holzworth)




VIII.  Forecasting Atmospheric Stagnation




       A. definition




       B. appropriate features




  IX.  NWS Guidelines and ASA Criteria
                       19-2

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                                  LESSON 20:
                Natural Removal Processes in the Atmosphere
Lesson Goal:


Lesson Objectives:
Lesson Outline:
 To familiarize you with eight natural processes present in the
 atmosphere that remove air pollution.

 At the end of this lesson, you should be able to:

 1.  list the eight natural removal processes that are
    present in the atmosphere.

 2.  choose statements about the atmosphere that identify the
    effects of specific natural removal processes.

     I. Introduction

    II. Gravitational Settling

   III.  Absorption

   IV.  Adsorption

    V.  Impaction

   VI.  Rainout

 VII.  Washout

VIII.  Coagulation

  IX.  Vegetation and Minerals
                                       20-1

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                                  LESSON 21:
                                Class Exercise 3
                                  Site Analysis
Lesson Goal:
Lesson Objectives:
Lesson Outline:
The purpose of this lesson is to familiarize you with the
numerous factors that are involved in conducting a meterological
survey. This lesson essentially ties together all the information
and knowledge gained during the previous lessons.

At the end of this lesson, you should be able to:

1.  identify at least six meteorological factors that are used in
   conducting a meteorological survey.

2.  conduct a simplified meteorological survey, given a specific
   location with physical information, meteorological data, and
   source information.

 I.  Review Previous Lessons

II.  Introduce Class Exercise 3
                                          21-1

-------
                               Class Exercise 3
                                 Site Analysis
 Problem Statement:

 A new coal burning electric generating power plant is to be built on the shore of Lake
 Winnemucca, a deep lake that is 40 miles long and 25 miles wide with the longer axis
 oriented north-south. It is located at 45 degrees North Latitude in the North Central part
 of the United States. It should be assumed that the lake does not  freeze  over in the winter.
 The coal to be used by the power plant will be transported by lake steamers and barges,
 and will enter the lake by the Metro River that empties into the lake from the east shore.
 The sulfur content of the coal used will average from 2 to 2^ percent. (See Figure 21-1.)
  The current plan is to install 99.5 percent efficiency electrostatic precipitators for
 particulates as an integral part of the plant  construction. The average source strength is
 expected to be 4X10s grams per second of SO2 and 5X105 grams  per hour of particulates
 after control. The effective emission height: under neutral stability conditions is expected
 to be 250 meters. The physical stack height  is 100 meters. The wind under neutral
 conditions is 5 meters per second.
  The terrain in the vicinity of the lake is quite flat with the highest elevations to the
 southeast rising only 300  feet above the lake level within 10 miles  of the  lake. The area
 between Urbana and Metropolis is forested,  primarily state-owned land,  while that
 between Urbana and Gotham is primarily devoted to agriculture.  A few small towns  are
 located between Urbana  and Gotham that have some associated local  commerce and
 manufacturing plants.  The area, however, can still be characterized as rural.
  The major population  centers in the vicinity of the lake are: Metropolis, a city of
 approximately 100,000 on the eastern shore  of the lake where the Metro River empties
 into it; Urbana, a town of 50,000 on the southwestern shore of the lake; and Gotham, a
 city of approximately 200,000 located on the northwestern shore of the lake where the
lake flows into the Frasier River that flows to the northwest.
  Annual wind frequency information is  available for the three largest cities and is given
in the attached tables and wind roses. Mean monthly and annual  precipitation amounts are
also given. From a large-scale study taken two years ago,  the frequency of inversions below
 500 feet are estimated on an annual basis to be: Metropolis, 20 percent;  Urbana,  25
percent; and Gotham, 29 percent.
  The problem stated above is a generalized situation that could exist. It is intended to
apply only to the meteorology that has been discussed, not to engineering problems, cost
factors,  etc.
                                          21-2

-------
  What meteorological factors should be considered in evaluating your site on the lake
shore when locating the  power plant in order to avoid problems of air pollution? You
should design a meteorology survey for a site report that would answer your company's
management questions. Include in your report the types of measurements needed to
generate data on which to base your particular recommendations. If you recommend
against building on the site,  what contingency control strategies would you suggest adop-
ting in case your are overruled by the management of the power company?
    Gotham
                           Figure 21-1. Lake Winnemucca
                                        21-3

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

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               Table 21-1. Percentage frequencies of annual wind direction and speed.
Period of record: Jan. 1956 to Dec. 1960. + indicates more than 0 but less than 0.5. Values are to
nearest whole percent not adjusted to make their sums equal to total percentages.

                                         Metropolis
Speed (miles/hour)
0-3 4-7 8-12 13-18 19-24 25-31 32-38 39-46
N
NNE
NE
ENE
E
ESE
SE
SSE
S
SSW
SW
WSW
w
WNW
NW
NW
NNW
Calm
Total
+
+
1
+
+
+
1
+
+
+
+
+
+
+
+
+
+
+
4
1
1
2
1
1
1
3
1
2
1
2
1
+
+

1
+

17
2
2
2
2
1
1
5
4
6
23
4
1
2
1
+
2
2

40
1
1
1
1
+
+
1
1
3
1
5
2
2
2
1
2
1

24
+
+
+
+
+

+
+
2
+
3
2
1
1

+
+

11
+
+





+
+
+
1
1
+
+
2
+
+

3









+
+
+
+

1
+


1










+







+

Total
4
3
6
3
3
2
10
7
14
8
15
7
6
5
5
5
3
+
100

Av. Speed
10.5
9.2
9.1
11.5
8.3
8.0
8.8
10.1
12.0
14.0
15.2
16.0
14.4
14.3
14.3
11.9
11.9

12.5
                                          Urbana
Speed (miles/hour)

N
NNE
NE
ENE
E
ESE
SE
SSE
S
SSW
SW
wsw
w
WNW
NW
NNW
Calm
Total
0-3
+
+
+
+
+
+
1
1
1
+
+
+
+
+
+
+
2
9
4-7
1
1
2
1
2
2
3
3
5
2
1
1
+
1
-t-
+

25
8-12 13-18 19-24 25-31 32-38 39-46
2
2
2
1
1
1
2
4
8
4
5
2
1
1
1
1

37
2
2
1
+
+
+
1
1
3
4
3
1
1
1
1
1

23
+
+




+
+
+
1
1
1
1
1
1
+

6
+







+

+
+
+
+
+
+

1





































Total
6
5
4
2
4
4
6
8
17
11
10
5
4
4
4
3
2
100

Av. Speed
10.9
10.8
8.0
8.1
6.4
7.4
6.5
8.1
9.1
11.0
11.6
12.2
12.8
14.2
13.5
12.9

9.9
                                             21-5

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

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                   Table 21-3. Summary data sheet for Lake Winnemucca.

Distance (mi.)
Gotham
Urbana
Metropolis
Wind Toward (%)
Gotham
Urbana
Metropolis
Lake
Speed
Mean
% Above 12 mph
Inversions (%)
1

12
20
25

25
6
15
56

—
72
27
2

20
1
23

17
17
5
38

—
66
25
3

33
7
20

15
8
13
42

—
63
24
4

27
20
2

21
3
37
35

max.
61
20
5

20
30
2

5
9
12
38

max.
61
20
6

5
34
19

9
4
11
18

	
78
29
                    Table 21-4. National Ambient Air Quality Standards.
Criteria
Pollutant
1. Sulfur Oxides
2. Particulate Matter
3. Carbon Monoxide
4. Oxidants
5. Hydrocarbons
6. Nitrogen Dioxide
7. Lead
Primary
A. 80 /ig/3 (0.03 ppm)
annual arithmetic mean
B. 365 /ig/m3 (0.14 ppm)
24-hr concentration*
A. 75 /ig/m3 annual geometric
mean
B. 260 /ig/m3 24-hr concentration
10 /ig/m3 (9 ppm) maximum
8-hr concentration*
200 /ig/m3 (0.12 ppm)
maximum 1-hr concentration*
160/ig/m3 (0.24 ppm)
maximum 3-hr (6am to 9am)
concentration*
100 /ig/m3 (0.05 ppm)
annual arithmetic mean
1.5 /ig/mVcalendar quarter
Secondary
A. 60 /ig/m3 (0.02 ppm)
annual arithmetic mean
B. 260 /ig/m3 (0.1 ppm)
24-hr concentration*
C. 1,300 /ig/m3 (0.5 ppm)
3-hr concentration*
A. 60 /ig/m3 annual geo-
metric mean
B. 150 /ig/3 24-hr concentration*
Same as primary
Same as primary
Same as primary
Same as primary

*Maximum value not to be exceeded more than once per year.
                                          21-7

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

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                  Maximum Mixing Depth Example 1
                                (Solution)
               The maximum mixing depth for a day can be
               estimated from a temperature profile by following
               these steps:
                1.  Plot the maximum surface temperature for
                   the day on the morning profile,  (e.g., 16°C)
                2.  From this point draw a line parallel to a dry
                   adiabat to the point where it intersects the
                   morning profile.
                3.  Read the height above ground at this point.
                   This is the maximum mixing depth (MMD)
                   for the day.
                4.  The MMD on the example profile below is
                   approximately    420	meters.
    1000
     800
     600
V
EC
                                            Dry adiabat
     400
     200
 Surface 0
\     \  Vr
                      Maximum mixing depth
                                                   Typical afternoon lapse rate
              Typical early
             morning profile
                                  t
                                 10           15

                                  Temperature (°C)
                                                    \
                               Maximum for the day
                                        A-3

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             Maximum Mixing Depth Example 2
                            (Solution)
          Another typical early morning profile is shown
          below. If the maximum surface temperature for
          the day is 20°C, what would you expect the
          maximum mixing depth to be?
             550     meters
1000 .
 900
                                                      Maximum mixing depth
                  5           10           15
                           Temperature (°C)
20
                               A-4

-------
                                  TECHNICAL REPORT DATA     .
                           (Please read Instructions on the reverse before completing)
 REPORT NO.
  •i-iTi i  / c n I'
                                                           3. RECIPIENT'S ACCESS!
TITLE ANDSUBTITLE
 APTI Course 411
 Air Pollution Meteorology
 Student Workbook
AUTHOR(S)
                                                             REPORT DATE
                                                              April 1981
                                                           6. PERFORMING ORGANIZATION CODE
                                                           B. PERFOI
  D.R. Bullard
 PERFORMING ORGANIZATION NAME AND ADDRESS
  Northrop Services, Inc.
  P.O. Box 12313
  Research Triangle Park, NC   27709
                                                          10. PROGRAM ELEf
                                                             B18A2C
                                                           11. CONTRACT/GRANT NO.
                                                              68-02-2374
 2. SPONSORING AGENCY NAME AND ADDRESS
  U.S. Environmental Protection Agency
  Manpower and Technical Information Branch
  Air Pollution Training Institute
  Research Triangle Park, NC  27711	
                                                           13. TYPE OF REPORT AND PERIOD COVERED
                                                                      Workbook
                                                           14. SPONSORING AGENCY CODE

                                                              EPA-OANR-OAQPS
 5. SUPPLEMENTARY NOTES
 Project Officer for  this manual is R.E.  Tovnsend, EPA-ERC,  RTP, NC
                                                                          27711
16. ABSTRACT
     This student workbook is designed  for use in the Air Pollution Training  Institute
  Course 411, "Air Pollution Meteorology,"  It contains introductory materialr  lesson
  outlines,  problem sets,  and class exercises,

     This publication  is  intended for use  in conjunction with the Course 411
  Instructor's Guide (EPA 450/2-81-013)  and the Student Manual,
17.
                                KEY WORDS AND DOCUMENT ANALYSIS
                  DESCRIPTORS
                                              b. IDENTIFIERS/OPEN ENDED TERMS
                                                                            COSATI FieW/Group
      Air pollution training
      Air Pollution Meteorology
                                               Training  course
                                               Workbook
     13B
      51
     68A
18. DISTRIBUTION STATEMENT  unlimited
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