Mathematical modelling of pollutant concentration distribution in river

Abstract

In recent years, the interest in preserving the quality of water for distribution processes in order to maximize the fulfillment of various sectors has considerably increased. Be it domestic sources, industrial or agricultural effluents, the massive increase of industrial productions accompanied by high growth of large urban populations has led to severe water pollution problems. Therefore, to identify water pollution, water quality models becomes an important tool to recognize the behaviors of pollutants in water environment. In this dissertation, the most important objective is to understand and formulate a mathematical model involving the study of pollutant transport in water environment via an advection-diffusion equation in river. The analytical solution of the model is found using Laplace transform method. Once the equation is solved, the solution is plotted using Maple for an easier analysis of the result. Graph of concentration of the pollutant against distance will be interpret and discuss. The result suggests that the concentration of pollutant is decrease against distance.