New Technique for Solving the Advection-diffusion Equation in Three Dimensions using Laplace and Fourier TransformsEssa KSM1*, Marrouf AA1, El-Otaify MS1, Mohamed AS2 and Ismail G2
- *Corresponding Author:
- Essa KSM
Mathematics and Theoretical Physics
NRC, Atomic Energy Authority, Cairo, Egypt
Received date: November 16, 2015 Accepted date: December 04, 2015 Published date: December 10, 2015
Citation: Essa KSM, Marrouf AA, El-Otaify MS, Mohamed AS, Ismail G (2015) New Technique for Solving the Advection-diffusion Equation in Three Dimensions using Laplace and Fourier Transforms. J Appl Computat Math 4:272. doi:10.4172/2168-9679.1000272
Copyright: © 2015 Essa KSM, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.