Symbolic Solution to Magnetohydrodynamic Hiemenz Flow in Porous Media

摘要

A system of nonlinear ordinary differential equations governing the boundary layers of magnetohydrodynamic (MHD) Hiemenz flow in porous media is solved using a simple and efficient analytical technique of Adomian decomposition method (ADM) and Pade approximant through the computer algebra package system Maple. Several symbolic features of the Maple system are utilized to develop specific routines that compute the approximate analytical solutions of the stream, velocity and temperature functions for some exemplary prescribed parameters. Comparative study shows the well agreement of the present symbolic results with the existing numerical results.