Atmospheric Dispersion Calculator

Air Pollution Control Stacks Equation Formulas


Solving for plume contaminant concentration at a point in space.

plume contaminant concentration at a point in space

Inputs:

pollution rate emission rate(Q)
average wind speed (u)
y direction plume standard deviation (σy)
z direction plume standard deviation (σz)
y position (y)
z position (z)
effective stach height (H)


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
y position (y)
= 0
= 0
meter
z position (z)
= 0
= 0
meter
effective stach height (H)
= 0
= 0
meter

Solution:

plume contaminant concentration at a point in space (C)
= 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 spaceplume contaminant concentration at a point in space
plume contaminant concentration at ground levelplume contaminant concentration at ground level
contaminant concentration at ground level along contaminant concentration at ground level along
the plume centerline
contaminant concentration at ground level alongcontaminant 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 elevationwind speed at elevation
wind speed at weather stationweather station wind speed
elevation elevation
weather station elevationweather station elevation
stability parameterstability parameter
effective stack height
effective stack heighteffective stack height
physical stack heightphysical stack height
plume rise plume rise
plume rise for superadiabatic conditions
plume rise for superadiabatic conditionsplume rise
stack gas exit speedstack gas exit speed
stack diameterstack diameter
average wind speedaverage wind speed
stack heat emission ratestack heat emission rate
plume rise for neutral stability conditions
plume rise for neutral stability conditionsplume rise
stack gas exit speedstack gas exit speed
stack diameterstack diameter
average wind speedaverage wind speed
stack heat emission ratestack heat emission rate
plume rise for subadiabatic conditions
plume rise for subadiabatic conditionsplume rise
stack gas exit speedstack gas exit speed
stack diameterstack diameter
average wind speedaverage wind speed
stack heat emission ratestack 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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