Analytical Solution of the advection diffusion equation using Fourier and square complement methods and comparing with Gaussian model

Authors

Khaled S. M. Essa Department of Mathematical and Theoretical Physics, Nuclear Research Center (NRC), Egyptian Atomic Energy Authority (EAEA), Cairo, Egypt
H. M. Taha Department of Mathematical and Theoretical Physics, Nuclear Research Center (NRC), Egyptian Atomic Energy Authority (EAEA), Cairo, Egypt
Esmat M. S. Elfeky Holding Company for Waterand Wastewater (HCWW), Cairo, Egypt

DOI:

https://doi.org/10.47577/technium.v30i.12869

Keywords:

: Fourier transform, square complement methods, Sulfur Hexafluoride , Iodine-135

Abstract

Two approaches have been used to solve the two-dimensional atmospheric diffusion problem analytically. First, the integration has been solved using the separation of variables, Fourier transform, and square complement methods. Next, the normalized cross-wind integrated concentration of pollutants at the earth's surface with variable eddy diffusivity and wind speed with power in vertical height and downwind distance has been obtained using the Gaussian plume model. creating a Gaussian plume model by using the dispersion parameters of Briggs and Brookhaven National Laboratories. Sulfur Hexafluoride (SF₆) tracer data sets from the northern portion of Copenhagen, Denmark, and Iodine-135 data sets under unstable conditions, are used to validate the current and Gaussian models.

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Published

2025-05-30

How to Cite

Essa, K. S. M., Taha, H. M., & Elfeky, E. M. S. (2025). Analytical Solution of the advection diffusion equation using Fourier and square complement methods and comparing with Gaussian model. Technium: Romanian Journal of Applied Sciences and Technology, 30, 35–48. https://doi.org/10.47577/technium.v30i.12869