Three-dimensional analytical solution of the advection-diffusion equation for air pollution dispersion

Authors

DOI:

https://doi.org/10.21914/anziamj.v64.16883

Keywords:

atmospheric dispersion, Fourier transform, Sturm-Liouville eigenvalue problem

Abstract

We develop a new analytical solution of a three-dimensional atmospheric pollutant dispersion. The main idea is to subdivide vertically the planetary boundary layer into sub-layers, where the wind speed and eddy diffusivity assume average values for each sub-layer. Basically, the model is assessed and validated using data obtained from the Copenhagen diffusion and Prairie Grass experiments. Our findings show that there is a good agreement between the predicted and observed crosswind-integrated concentrations. Moreover, the calculated statistical indices are within the range of acceptable model performance.

 

doi:https://doi.org/10.1017/S1446181122000037

Author Biographies

Mehdi Farhane, Chouaib Doukkali University

Faculty of Sciences El Jadida, LIMA Laboratory, Department of Mathematics, Chouaib Doukkali University, El Jadida, Morocco.

Omar Alehyane, Chouaib Doukkali University

Faculty of Sciences El Jadida, MF Laboratory, Department of Mathematics, Chouaib Doukkali University, El Jadida, Morocco.

Otmane Souhar, Chouaib Doukkali University

Faculty of Sciences El Jadida, LIMA Laboratory, Department of Mathematics, Chouaib Doukkali University, El Jadida, Morocco.

Published

2022-06-28

Issue

Section

Articles for Printed Issues