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      Permanent link:
      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

       

      Ali S Wadi1 Mourad F Dimian1 Fayez N Ibrahim1

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

       
  • Journal of Earth System Science | News

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