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THREE-DIMENSIONAL ANALYTICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION FOR AIR POLLUTION DISPERSION

Part of: Boundary value problems Harmonic analysis in one variable

Published online by Cambridge University Press:  26 April 2022

M. FARHANE Open the ORCID record for M. FARHANE [Opens in a new window] ,
O. ALEHYANE Open the ORCID record for O. ALEHYANE [Opens in a new window]  and
O. SOUHAR Open the ORCID record for O. SOUHAR [Opens in a new window]
M. FARHANE*
Affiliation:
Faculty of Sciences El Jadida, LIMA Laboratory, Department of Mathematics, Chouaib Doukkali University, El Jadida, Morocco; e-mail: souhar.o@ucd.ac.ma
O. ALEHYANE
Affiliation:
Faculty of Sciences El Jadida, MF Laboratory, Department of Mathematics, Chouaib Doukkali University, El Jadida, Morocco; e-mail: alehyane.o@ucd.ac.ma
O. SOUHAR
Affiliation:
Faculty of Sciences El Jadida, LIMA Laboratory, Department of Mathematics, Chouaib Doukkali University, El Jadida, Morocco; e-mail: souhar.o@ucd.ac.ma
*
e-mail: farhane.m@ucd.ac.ma
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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.

Keywords

Atmospheric dispersionFourier transformSturm–Liouville eigenvalue problem

MSC classification

Primary: 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Secondary: 34B24: Sturm-Liouville theory
Type
Research Article
Information
The ANZIAM Journal , Volume 64 , Issue 1 , January 2022 , pp. 40 - 53
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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