# Atmospheric Dispersion Equation Formulas Calculator

## Air Pollution Control - Stacks

### Solving for stack diameter for superadiabatic conditions.

#### Inputs:

 average wind speed (u) meter/second centimeter/hour centimeter/second foot/day foot/second inch/hour inch/second kilometer/hour kilometer/second knot mach sea level 15 C meter/day mile/hour mile/second millimeter/second speed of light in vacuum yard/second stack gas exit speed (Vs) meter/second centimeter/hour centimeter/second foot/day foot/second inch/hour inch/second kilometer/hour kilometer/second knot mach sea level 15 C meter/day mile/hour mile/second millimeter/second speed of light in vacuum yard/second plume rise (Δh) meter attometer centimeter chain dekameter decimeter exameter femtometer foot gigameter hectometer inch kilometer light year link megameter micrometer micron mile millimeter nanometer petameter picometer rod terameter yard stack heat emission rate (Qh) watt foot-pound/second horsepower joule/second kilojoule/second kilowatt newton-meter/second

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#### Conversions:

 average wind speed (u) = 0 = 0 meter/second stack gas exit speed (Vs) = 0 = 0 meter/second plume rise (Δh) = 0 = 0 meter stack heat emission rate (Qh) = 0 = 0 kilojoule/second

#### Solution:

 stack diameter (d) = HAS NOT BEEN CALCULATED

#### Other Units:

Change Equation
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Gaussian plume dispersion model developed by Pasquill
 plume contaminant concentration at a point in space plume contaminant concentration at ground level contaminant concentration at ground level along the plume centerline contaminant concentration at ground level along the plume centerline when the emission source is at ground level

wind speed at elevation from known wind speed and elevation
 wind speed at elevation weather station wind speed elevation weather station elevation stability parameter

effective stack height
 effective stack height physical stack height plume rise

 plume rise stack gas exit speed stack diameter average wind speed stack heat emission rate

plume rise for neutral stability conditions
 plume rise stack gas exit speed stack diameter average wind speed stack heat emission rate

 plume rise stack gas exit speed stack diameter average wind speed stack heat emission rate

Where
 C = downwind concentration Q = pollution source emission rate u = average wind speed σy = y direction plume standard deviation σz = z direction plume standard deviation x = position in the x direction or downwind direction y = position in the y direction z = position in the z direction H = effective stack height

References - Books:

1) P. Aarne Vesilind, J. Jeffrey Peirce and Ruth F. Weiner. 1994. Environmental Engineering. Butterworth Heinemann. 3rd ed.

by Jimmy Raymond