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ANALYTICAL SOLUTIONS OF THE ATMOSPHERIC DIFFUSION EQUATION WITH MULTIPLE SOURCES AND HEIGHT-DEPENDENT WIND SPEED AND EDDY DIFFUSIVITIES. (R825689C072)
Citation:
Lin, J. S. AND L. M. Hildemann. ANALYTICAL SOLUTIONS OF THE ATMOSPHERIC DIFFUSION EQUATION WITH MULTIPLE SOURCES AND HEIGHT-DEPENDENT WIND SPEED AND EDDY DIFFUSIVITIES. (R825689C072). ATMOSPHERIC ENVIRONMENT. American Chemical Society, Washington, DC, 30(2):239-254, (1996).
Description:
Abstract
Three-dimensional analytical solutions of the atmospheric diffusion equation with multiple sources and height-dependent wind speed and eddy diffusivities are derived in a systematic fashion. For homogeneous Neumann (total reflection), Dirichlet (total adsorption), or mixed boundary conditions, the solutions for a single source are comprised of three components: a source strength, a crosswind dispersion factor, and a vertical dispersion factor. The two dispersion factors together constitute a Green's function--the concentration response due to a unit disturbance (source). When the general point source Green's functions are derived for a bounded domain (inversion effect) with various boundary conditions and arbitrary power-law profiles for wind speed and eddy diffusivities, previously published equations are found to be simplified versions of this more general case. A methodology based on the superposition of Green's functions is proposed, which enables the estimation of ambient concentrations not only from a single source, but also from multiple point, line, or area releases.
Author Keywords: Dispersion models; Gaussian plume equation; Green's function; inversion layer; K-theory; line source