An approximate analytical solution to the diffusion equation for short-range dispersion from a continuous ground-level source |
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| Authors: | J D Wilson |
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| Institution: | (1) Atmospheric Environment Service, 4905 Dufferin Street, Downsview, Ontario, Canada;(2) Present address: New Zealand Meteorological Service, P.O. Box 722, Wellington, New Zealand |
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| Abstract: | An easily-evaluated expression for the dimensionless concentration profile  (z/z
0,/z
0, z
0/L) = = cu
*/kQ (or z
0cu*/kQ) downwind of a continuous ground-level area (or line) source in the stable surface layer is obtained by integrating the diffusion equation using the Shwetz approximation method (c = concentration, Q = source strength, k = von Kárman's constant). The analytical solution compares closely with concentration profiles obtained using a trajectory-simulation model over a useful range of heights, the important discrepancies occurring at the upper edge of the plume. The analytical solution is used to generate predictions of ground-level concentration for the Project Prairie Grass experiments; good agreement with the observations is obtained at all downwind distances (50 to 800 m). |
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