# Atmospheric Dispersion Calculator

Air Pollution Control Stacks Equation Formulas

### Solving for stack diameter for superadiabatic conditions. ## Inputs:

average wind speed (u)
stack gas exit speed (Vs)
plume rise (Δh)
stack heat emission rate (Qh)

## 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)
= NOT CALCULATED

## Other Units:

Change Equation
Select to solve for a different unknown
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 alongthe plume centerline contaminant concentration at ground level alongthe plume centerline when the emission source isat 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
plume rise for neutral stability conditions
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.

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