A Closed Form Solution For Pollutant Dispersion In Atmosphere Considering Nonlocal Closure Of The Turbulent Diffusion
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D. Buske, M. T. Vilhena, T. Tirabassi, R. S. Quadros & B. Bodmann
Atmospheric air pollution turbulent fluxes can be assumed proportional to the mean concentration gradient. This assumption, along with the equation of continuity, leads to the advection-diffusion equation. Moreover, large eddies are able to mix scalar quantities in a manner that is counter to the local gradient. In this work we present an analytical solution of the three-dimensional steady state advection-diffusion equation, considering nonlocal turbulence closure using the Integral Transform Technique (GILTT). Numerical results and statistical comparisons with experimental data are presented. Keywords: air pollution modelling, analytical solutions, advection-diffusion equation, nonlocal closure, integral transform. 1 Introduction In the last years, special attention has been given to the issue of searching analytical solutions for the advection-diffusion equation in order to simulate the pollutant dispersion in the Atmospheric Boundary Layer (ABL). We are aware of the existence of analytical solutions in the literature, but for specific and particular problems. Among them we mention the works [1–6]. In fact, all these solutions are valid for very specialized practical situations with restrictions on
air pollution modelling, analytical solutions, advection-diffusion equation, nonlocal closure, integral transform.