TITLE:
An Analytical Air Pollution Model with Time Dependent Eddy Diffusivity
AUTHORS:
Tiziano Tirabassi, Marco Túllio Vilhena, Daniela Buske, Gervásio Annes Degrazia
KEYWORDS:
Analytical Solution; Advection-Diffusion Equation; Air Pollution Modeling; Integral Transform; Decomposition Method
JOURNAL NAME:
Journal of Environmental Protection,
Vol.4 No.8A,
August
8,
2013
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.