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.

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Author Biography

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

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

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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

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Articles