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An Analytical Air Pollution Model with Time Dependent Eddy Diffusivity

Author(s): Tiziano Tirabassi | Marco Túllio Vilhena | Daniela Buske | Gervásio Annes Degrazia

Journal: Journal of Environmental Protection
ISSN 2152-2197

Volume: 04;
Issue: 08;
Start page: 16;
Date: 2013;
Original page

Keywords: Analytical Solution | Advection-Diffusion Equation | Air Pollution Modeling | Integral Transform | Decomposition Method

Air pollution transport and dispersion in the atmospheric boundary layer are modeled by the advection-diffusion equation, that is, essentially, a statement of conservation of the suspended material in an incompressible flow. Many models simulating air pollution dispersion are based upon the solution (numerical or analytical) of the advection-diffusion equation assuming turbulence parameterization for realistic physical scenarios. We present the general time dependent three-dimensional solution of the advection-diffusion equation considering a vertically inhomogeneous atmospheric boundary layer for arbitrary vertical profiles of wind and eddy-diffusion coefficients. Numerical results and comparison with experimental data are shown.
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