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Pollutant transport in a homogenous aquifer with plate stacks
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  • Khadija Kubra,
  • Sana Ullah Lehre,
  • Robert McKibbin,
  • Komal Mehmood
Khadija Kubra
Government College University Faisalabad

Corresponding Author:[email protected]

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Sana Ullah Lehre
Government College University Faisalabad
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Robert McKibbin
Massey University - Albany Campus
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Komal Mehmood
Government College University Faisalabad
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Abstract

This study aims at investigating the numerical analysis of pollutant transport in homogenous porous media in the presence of plate stacks. The investigation is performed for solid objects of the same size placed in an inline arrangement in a homogenous porous media. The pollutant transport equation (i.e., steady-state and time-dependent advection-diispersion) is chosen in mathematical modeling. Furthermore, on basis of dispersion coefficient, three more cases arise which include uniformly constant, dependence on the magnitude of velocity, and dependence on both magnitude of velocity and its direction. Such models have a wide range of applications. Generally, the analytical solution of such problems doesn’t exist, so all the work is done numerically. The governing partial differential equation of pollutant concentration is approximated by using finite difference technique. Central and one-sided finite difference formulae are used to discretize the domain. MATLAB software is used to compute approximations to velocity potential and stream function. Then equipotential lines and streamlines are visualized in form of contours. Both, velocity potential and stream function satisfy Laplace’s equation and they are harmonic. Fluid flow lines and pollutant concentration are represented graphically for various parameters involved. It is observed that the size, shape, and position of pervious objects, entrance length of the domain affect fluid flow and pollutant transport. However, there is no significant effect of heated objects on pollutant transport. Moreover, advection and dispersion depend upon the permeability of porous media and the properties of the solid matrix.