• LIE GROUP TREATMENT FOR THE FLOW OF NON-NEWTOWNION FLUID THROUGH POROUS MEDIA

Abstract

This paper shows the solution of non-linear equation describing the transient flow of power law fluids through porous medium. The solution is obtained by infinitesimal group transformation group method. At first, the one parameter lie group transformation in terms of characteristics function W is taken. Then the solution of the characteristics function W for the infinitesimals was obtained. The next step is to find the absolute invariants. Using these similarity variables the partial differential equation can be transformed into an ordinary differential equation. Analytical solution of Ordinary Differential Equation is presented.