On The Theory Of Filtration At A Decreasing Rate

Abstract

We investigate a one – dimensional filtration model based on [4]. The resulting equation, together with initial and boundary conditions were solved by analytical method. Various cases of the model were considered to obtain the concentration of impurities suspended in the liquid. Hence we employed the Laplace transform, asymptotic techniques, separation of variable to suite each of the cases to be considered. The result obtained, shows that filtration occurs at a decreasing rate in accordance with practical condition of filter use.