Point space equation for dispersion

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AJ Atmospheric Dispersion Equation Formulas Calculator

Air Pollution Control - Stacks

Solving for plume contaminant concentration at a point in space.

Inputs:

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pollution rate emission rate(Q) gram/secondaverage wind speed (u) meter/secondy direction plume standard deviation (y) meterz direction plume standard deviation (z) metery position (y) meterz position (z) metereffective stach height (H) meter

Calculate

Page 1 of 6AJ Atmospheric Dispersion Model Design Calculator Plume Contaminant Concentration Point Space

1/23/2006http://www.ajdesigner.com/phpdispersion/point_space_equation.php

Conversions:

Solution:

Other Units:

Change Equation Select an equation to solve for a different unknown

Gaussian plume dispersion model developed by Pasquill

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

plume contaminant concentration at a point in space (C) = HAS NOT BEEN CALCULATED

plume contaminant concentration at a point in space

plume contaminant concentration at ground level



wind speed at elevation from known wind speed and elevation

effective stack height

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

weather station wind speed

elevation

weather station elevation

stability parameter

effective stack height



plume rise for superadiabatic conditions

plume rise for neutral stability conditions

physical stack height

plume rise

plume rise

stack gas exit speed

stack diameter

average wind speed

stack heat emission rate

plume rise


stack diameter

average wind speed



plume rise for subadiabatic conditions

Where


plume rise


stack diameter

average wind speed


C = downwind concentrationQ = pollution source emission rateu = average wind speed y = y direction plume standard deviationz = z direction plume standard deviationx = position in the x direction or downwind directiony = position in the y directionz = position in the z directionH = effective stack height



Reference: 1) P. Aarne Vesilind, J. Jeffrey Peirce and Ruth F. Weiner. 1994. Environmental Engineering. Butterworth Heinemann. 3rd ed.

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Point space equation for dispersion

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