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ABSTRACT

Lebedeff and Hameed 1975

Lebedeff, S.A., and S. Hameed, 1975: Steady-state solution of the semi-empirical diffusion equation for area sources. J. Appl. Meteorol., 14, 546-549, doi:10.1175/1520-0450(1975)014<0546:SSSOTS>2.0.CO;2.

Turbulent transport of material emitted from a surface may be described by the steady-state, two-dimensional, semi-empirical diffusion equation. It is shown that, with wind velocity and eddy diffusivity expressed as power functions of the vertical coordinate, this equation can be solved exactly by introducing a similarity variable. The solution gives the vertical distribution of concentration for area sources in terms of the incomplete gamma function. Implications of the solution are discussed.

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