Journal of Applied & Computational Mathematics

New Technique for Solving the Advection-diffusion Equation in Three Dimensions using Laplace and Fourier Transforms

Abstract

Essa KSM, Marrouf AA, El-Otaify MS, Mohamed AS and Ismail G

A steady-state three-dimensional mathematical model for the dispersion of pollutants from a continuously emitting ground point source in moderated winds is formulated by considering the eddy diffusivity as a power law profile of vertical height. The advection along the mean wind and the diffusion in crosswind and vertical directions was accounted. The closed form analytical solution of the proposed problem has obtained using the methods of Laplace and Fourier transforms. The analytical model is compared with data collected from nine experiments conducted at Inshas, Cairo (Egypt). The model shows a best agreement between observed and calculated concentration.