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.