• Analytical solutions for one-dimensional advection–dispersion equation of the pollutant concentration

• # Fulltext

https://www.ias.ac.in/article/fulltext/jess/123/06/1317-1324

• # Keywords

Pollutant; concentration; Laplace transformation; dispersion.

• # Abstract

We present simple analytical solutions for the unsteady advection–dispersion equations describing the pollutant concentration $C(x, t)$ in one dimension. The solutions are obtained by using Laplace transformation technique. In this study we divided the river into two regions 𝑥 ≤ 0 and 𝑥 ≥0 and the origin at 𝑥 = 0. The variation of $C(x, t)$ with the time 𝑡 from 𝑡 = 0 up to 𝑡 $\rightarrow \infty$ (the steady state case) is taken into account in our study. The special case for which the dispersion coefficient 𝐷 = 0 is studied in detail. The parameters controlling the pollutant concentration along the river are determined.

• # Author Affiliations

1. Department of Mathematics, AinShams University, Cairo 0020, Egypt.

• # Journal of Earth System Science

Volume 131, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019