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

Autor:	Jeevan Kafle, Prem Sagar Bhandari, Keshav Paudel
Rok vydání:	2021
Předmět:	Pollutant Laplace transform Advection dispersion equation Mathematical analysis Environmental science
Zdroj:	Journal of Nepal Mathematical Society. 4:33-40
ISSN:	2616-0161 2616-0153
DOI:	10.3126/jnms.v4i1.37111
Popis:	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.
Databáze:	OpenAIRE
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