An Approximate Analytical Solution of the Burger's Equation for Longitudinal Dispersion Phenomenon Arising in Fluid Flow through Porous Medium

Abstract

The present paper discusses the longitudinal dispersion phenomenon in miscible fluid flow through porous medium. The mathematical formulation yields a nonlinear partial differential equation in the form of Burger's equation. An approximate analytical solution of the Burger's equation for longitudinal dispersion phenomenon has been obtained. Homotopy analysis method is adopted to solve this equation with suitable boundary conditions. The numerical interpretation of solution has been obtained at distancex for a given timet. The graphical interpretation of solution has been also given by Mathematica software.