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Atmospheric Dispersion Equation Formulas Calculator

Air Pollution Control - Stacks


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 an equation 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 a point in space
plume contaminant concentration at ground level plume 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 along 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 wind speed at elevation
wind speed at weather station weather station wind speed
elevation elevation
weather station elevation weather station elevation
stability parameter stability parameter

effective stack height
effective stack height effective stack height
physical stack height physical stack height
plume rise plume rise

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

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

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