Studying the Effect of the Instantaneous and Continuous Pollutants Sources on the Advection-diffusion Equation and Its Applications

Khaled S. M. Essa; Sawsan I. M. El Saied; A. A. Wheida; Mostafa El-Nazer

doi:10.24996/ijs.2024.65.2.41

Authors

Khaled S. M. Essa Mathematical and Theoretical Physics Department, Nuclear Research Centre, Egyptian Atomic Energy Authority, Cairo, Egypt
Sawsan I. M. El Saied Mathematical and Theoretical Physics Department, Nuclear Research Centre, Egyptian Atomic Energy Authority, Cairo, Egypt
A. A. Wheida Theoretical Physics Department, Physics Research Institute, National Research Centre, Cairo, Egypt https://orcid.org/0000-0002-3367-5165
Mostafa El-Nazer Theoretical Physics Department, Physics Research Institute, National Research Centre, Cairo, Egypt https://orcid.org/0000-0001-8828-3882

DOI:

https://doi.org/10.24996/ijs.2024.65.2.41

Keywords:

Instantaneous sources, Continuous sources, Advection equation, Diffusion equation, Gaussian model, Dispersion

Abstract

This study investigates instantaneous and continuous sources as point, line, and area sources. Gaussian concentration in the case of the puff model with an instantaneous point source inhomogeneous longitudinal diffusion is investigated. The concentration is calculated using different dispersion parameters to get the proposed normalized concentration of the puff model at ground level around the centerline, which is compared with observed data by the Copenhagen experiment and previous work [1].

Also, the continuous point source is used to get the Gaussian plume model in three dimensions using dispersion parameters to compare with the observed concentration data measured by the Egyptian Atomic Energy Authority for Iodine-135 (I135) in an unstable condition.