One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media

Year 2019, Volume: 5 Issue: 2, 69 - 77, 30.06.2019

Raja Ram Yadav , Joy Roy Dilip Kumar Jaiswal

https://izlik.org/JA63SW97EA

Abstract

A theoretical model comprising advection-dispersion equation with temporal seepage velocity,
dispersion coefficient and time dependent pulse type input of uniform nature
applied against the flow in a finite porous domain. Input concentration is any
continuous smooth function of time acts up to some finite time and then
eliminated. Concentration gradient at other boundary is proportional to
concentration. Dispersion is proportional to seepage velocity. Interpolation method is applied to
reduce the input function into a polynomial. Certain transformations are
utilized to reduce the variable coefficient into constant coefficient in the
advection dispersion equation. The Laplace transform technique is applied to
get the solution of advection dispersion equation. Two different functions of
input are discussed to understand the utility of the present study. Obtained
result is demonstrated graphically with the help of numerical example.

Keywords

Advection , Dispersion , Porous Medium , Interpolation , Laplace Transformation Technique

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