Mathematical Solutions of Transport of Pollutants through Unsaturated Porous Media with Adsorption in a Finite Domain.

Abstract

The objective of this paper is to demonstrate how mass transport, flow of pollutants and other technologies can be applied to define the behaviour of pollutants in the unsaturated and saturated soil zones. This paper is concerned with the development of analytical models for unsaturated and saturated flow behaviour in soils. Also, a comprehensive study on the effect of different soil parameters on the moisture movement and storage during different processes is carried out for homogeneous and isotropic soil media by considering adsorption term. The solution is obtained for the given mathematical model in a finite length initially solute free domain. The input condition is considered continuous of uniform and of increasing nature both. The solution has been obtained by using Duhamel’s theorem and integral solution technique.