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Natural decay of pollutants is rarely consider in mass transport equation. This paper develops a mathematical model of a filter based on iron oxide coated sand for the removal of chromium in groundwater and surface water. The natural decay of chromium was analyzed using a zero order decay reaction. The advection dispersion equation for this purpose is solved analytically using the Laplace transform method and numerically by the Fourth order Runge kutta method to determine the spatio-temporal distribution of the pollutant through the filter. The control parameters are the adsorption coefficient, the initial concentration and the chromium degradation coefficient. It has been proven that the chromium degradation coefficient strongly affect the concentration values of pollutants inside the filter. The results of this work should be used to manufacture low-cost filters based on iron oxide coated sand.

Modelling Adsorption and Transport of Chrome VI onto Iron Oxide-Coated Sand filter