# Atmospheric Dispersion Calculator

## Air Pollution Control Stacks Equation Formulas

### Solving for plume contaminant concentration at a point in space.

#### Inputs:

 pollution rate emission rate(Q) gram/second
 average wind speed (u) meter/secondcentimeter/hourcentimeter/secondfoot/dayfoot/hourfoot/minutefoot/secondinch/dayinch/hourinch/minuteinch/secondkilometer/daykilometer/hourkilometer/minutekilometer/secondknotmach sea level 15 Cmeter/daymeter/hourmeter/minutemile/daymile/hourmile/minutemile/secondmillimeter/secondspeed of light in vacuumyard/second
 y direction plume standard deviation (σy) meterangstromattometercentimeterchaindekameterdecimeterexameterfemtometerfootgigameterhectometerinchkilometerlight yearlinkmegametermicrometermicronmilemillimeternanometerparsecpetameterpicometerrodterameteryard
 z direction plume standard deviation (σz) meterangstromattometercentimeterchaindekameterdecimeterexameterfemtometerfootgigameterhectometerinchkilometerlight yearlinkmegametermicrometermicronmilemillimeternanometerparsecpetameterpicometerrodterameteryard
 y position (y) meterangstromattometercentimeterchaindekameterdecimeterexameterfemtometerfootgigameterhectometerinchkilometerlight yearlinkmegametermicrometermicronmilemillimeternanometerparsecpetameterpicometerrodterameteryard
 z position (z) meterangstromattometercentimeterchaindekameterdecimeterexameterfemtometerfootgigameterhectometerinchkilometerlight yearlinkmegametermicrometermicronmilemillimeternanometerparsecpetameterpicometerrodterameteryard
 effective stach height (H) meterangstromattometercentimeterchaindekameterdecimeterexameterfemtometerfootgigameterhectometerinchkilometerlight yearlinkmegametermicrometermicronmilemillimeternanometerparsecpetameterpicometerrodterameteryard

#### Conversions:

 pollution rate emission rate(Q)= 0 = 0gram/second
 average wind speed (u)= 0 = 0meter/second
 y direction plume standard deviation (σy)= 0 = 0meter
 z direction plume standard deviation (σz)= 0 = 0meter
 y position (y)= 0 = 0meter
 z position (z)= 0 = 0meter
 effective stach height (H)= 0 = 0meter

#### 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 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
 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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