Atmospheric Dispersion Calculator
Air Pollution Control Stacks Equation Formulas
Solving for contaminant concentration at ground level along the plume centerline.
Inputs:
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Conversions:
pollution rate emission rate(Q)
= 0
= 0
gram/second
average wind speed (u)
= 0
= 0
meter/second
y direction plume standard deviation (σy)
= 0
= 0
meter
z direction plume standard deviation (σz)
= 0
= 0
meter
effective stach height (H)
= 0
= 0
meter
Solution:
contaminant concentration at ground level along the plume centerline (C) = NOT CALCULATED
Other Units:
Change Equation
Select to solve for a different unknown
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 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 for superadiabatic conditions
 | 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 for subadiabatic conditions
 | 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.
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