A Closed Form Solution For Pollutant Dispersion
In Atmosphere Considering Nonlocal Closure Of
The Turbulent Diffusion
Author(s)
D. Buske, M. T. Vilhena, T. Tirabassi, R. S. Quadros
& B. Bodmann
Abstract
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
Keywords
air pollution modelling, analytical solutions, advection-diffusion
equation, nonlocal closure, integral transform.
Related Book
Other papers in this volume
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