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An Analytical Air Pollution Model with Time Dependent Eddy Diffusivity
Institute of Atmospheric Sciences and Climate (ISAC), National Research Council (CNR), Bologna, Italy
Graduate Program in Mechanical Engineering, Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil
Department of Mathematics and Statistics (IFM/DME), Federal University of Pelotas (UFPel), Pelotas, Brazil
epartment of Physics, Federal University of Santa Maria (UFSM), Santa Maria, Brazil
- 1 Institute of Atmospheric Sciences and Climate (ISAC), National Research Council (CNR), Bologna, Italy
- 2 Graduate Program in Mechanical Engineering, Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil
- 3 Department of Mathematics and Statistics (IFM/DME), Federal University of Pelotas (UFPel), Pelotas, Brazil
- 4 epartment of Physics, Federal University of Santa Maria (UFSM), Santa Maria, Brazil
Journal of Environmental Protection·Volume 04 (2013)·Pages 16–23·Published 29 July 2013·DOI10.4236/jep.2013.48A1003
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Abstract
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 .
KeywordsAnalytical SolutionAdvection-Diffusion EquationAir Pollution ModelingIntegral TransformDecomposition Method
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