Analytical Solution for Advection-Dispersion Equation of the Pollutant Concentration using Laplace Transformation

Authors

  • Keshav Paudel Khwopa Engineering College, Libali, Bhaktapur, Nepal
  • Prem Sagar Bhandari Birendra Multiple Campus, Bharatpur, Chitwan, Nepal
  • Jeevan Kafle Central Department of Mathematics, Tribhuvan university, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/jnms.v4i1.37111

Keywords:

Pollutant, Concentration, Laplace tranformation, Dispersion, Analytical solution

Abstract

We present simple analytical solution for the unsteady advection-dispersion equation describing the pollutant concentration C(x; t) in one dimension. In this model the water velocity in the x-direction is taken as a linear function of x and dispersion coefficient D as zero. In this paper by taking k = 0, k is the half saturated oxygen demand concentration for pollutant decay, we can apply the Laplace transformation and obtain the solution. The variation of C(x; t) with different times t upto t → ∞ (the steady state case) is taken into account advection-dispersion equation in our study.

Downloads

Download data is not yet available.
Abstract
149
PDF
259

Author Biography

Keshav Paudel, Khwopa Engineering College, Libali, Bhaktapur, Nepal

and Central Department of Mathematics, Tribhuvan university, Kathmandu, Nepal

Downloads

Published

2021-05-14

How to Cite

Paudel, K., Bhandari, P. S., & Kafle, J. (2021). Analytical Solution for Advection-Dispersion Equation of the Pollutant Concentration using Laplace Transformation. Journal of Nepal Mathematical Society, 4(1), 33–40. https://doi.org/10.3126/jnms.v4i1.37111

Issue

Section

Articles