Analytical solution of the advection-diffusion equation with nonlocal closure of the turbulent diffusion
In this work we consider the nonlocal Closure or the turbulent diffusion in the advection-diffusion equation, Accounting for the current knowledge oil the Convective Boundary Layer structure and characteristics, we obtain all expression for the advection-diffusion equation depending oil eddy diffusivity, skewness, Lagrangian time scale and vertical turbulent velocity. This expression is solved analytically using the Laplace transform technique. The present study shows that the inclusion of the countergradient term modifies the maximum concentration which is one of the most important parameters in air-quality applicative context. (c) 2005 Elsevier Ltd. All rights reserved.
advection-diffusion equation nonlocal closures convective boundary layer countergradient analytical model