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For information about fluids, refer to the CIVIL<br />

ENGINEERING and FLUID MECHANICS sections.<br />

For information about geohydrology and hydrology, refer<br />

to the CIVIL ENGINEERING section.<br />

For information about ideal gas law equations, refer to the<br />

THERMODYNAMICS section.<br />

For information about microbiology (biochemical<br />

pathways, cellular biology and organism characteristics),<br />

refer to the BIOLOGY section.<br />

For information about population growth modeling, refer to<br />

the BIOLOGY section.<br />

For information about sampling and monitoring (Student’s<br />

t-Distribution, standard deviation, and confidence<br />

intervals), refer to the MATHEMATICS section.<br />

AIR POLLUTION<br />

Activated carbon: refer to WATER TREATMENT in this<br />

section.<br />

Air stripping: refer to WATER TREATMENT in this<br />

section.<br />

Atmospheric Dispersion Modeling (Gaussian)<br />

σy and σz as a function <strong>of</strong> downwind distance and stability<br />

class, see following figures.<br />

ENVIRONMENTAL ENGINEERING<br />

143<br />

Q<br />

C =<br />

2πuσ<br />

y<br />

σ<br />

z<br />

⎛<br />

⎜ 1<br />

exp −<br />

⎜ 2<br />

⎝<br />

y<br />

σ<br />

2<br />

2<br />

y<br />

⎞⎡<br />

⎟<br />

⎛<br />

⎢ ⎜<br />

1<br />

exp −<br />

⎟⎢<br />

⎜<br />

⎠⎣<br />

⎝<br />

2<br />

( z + H )<br />

( z − H )<br />

⎛<br />

⎜<br />

1<br />

+ exp −<br />

⎜<br />

⎝<br />

2 2<br />

σz<br />

2 ⎞⎤<br />

⎟⎥<br />

⎟<br />

⎠⎥⎦<br />

where<br />

C = steady-state concentration at a point (x, y, z)<br />

(µg/m 3 ),<br />

Q = emissions rate (µg/s),<br />

σy = horizontal dispersion parameter (m),<br />

σz = vertical dispersion parameter (m),<br />

u = average wind speed at stack height (m/s),<br />

y = horizontal distance from plume centerline (m),<br />

z = vertical distance from ground level (m),<br />

H = effective stack height (m) = h + ∆h<br />

where h = physical stack height<br />

∆h = plume rise, and<br />

x = downwind distance along plume centerline (m).<br />

Concentration downwind from elevated source<br />

C<br />

Q<br />

( H ) ⎞<br />

⎟<br />

2<br />

( max)<br />

=<br />

πuσ<br />

yσ<br />

z<br />

exp⎜<br />

⎜<br />

−<br />

2<br />

2<br />

σ z<br />

where variables as previous except<br />

C(max) = maximum ground-level concentration.<br />

H<br />

z<br />

2<br />

= σ for neutral atmospheric conditions<br />

Atmospheric Stability Under Various Conditions<br />

Day<br />

Night<br />

Solar Insolation<br />

Cloudiness e<br />

Surface Wind<br />

Speed a (m/s)<br />

Strong b Moderate c<br />

Slight d<br />

Cloudy Clear<br />

(≥4/8) (≤3/8)<br />

6<br />

Notes:<br />

C D D D D<br />

a. Surface wind speed is measured at 10 m above the ground.<br />

b. Corresponds to clear summer day with sun higher than 60° above the horizon.<br />

c. Corresponds to a summer day with a few broken clouds, or a clear day with sun 35-60° above the<br />

horizon.<br />

d. Corresponds to a fall afternoon, or a cloudy summer day, or clear summer day with the sun 15-35°.<br />

e. Cloudiness is defined as the fraction <strong>of</strong> sky covered by the clouds.<br />

f. For A–B, B–C, or C–D conditions, average the values obtained for each.<br />

* A = Very unstable D = Neutral<br />

B = Moderately unstable E = Slightly stable<br />

C = Slightly unstable F = Stable<br />

Regardless <strong>of</strong> wind speed, Class D should be assumed for overcast conditions, day or night.<br />

Turner, D. B., "Workbook <strong>of</strong> Atmospheric Dispersion Estimates," Washington, DC, U.S. Environmental Protection Agency, 1970.<br />

⎛<br />

⎝<br />

1<br />

⎠<br />

σ<br />

2<br />

z<br />

2<br />

⎞<br />

⎟<br />

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