DIRICHLET SERIES AND APPROXIMATE ANALYTICAL METHOD FOR THE SOLUTION OF MHD BOUNDARY LAYER FLOW OF CASSON FLUID OVER A STRETCHING/SHRINKING SHEET

Abstract

The paper presents analytical and semi-numerical solution for magnetohydrodynamic (MHD) boundary layer flow of Casson fluid over a exponentially permeableshrinking sheet. The governing partial differential equations of momentum equations arereduced to ordinary differential equations by using a classical similarity transformationalong with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel mathematical tools for their analysis. We use fast converging Dirichlet seriesand approximate analytical solution by the Method of stretching of variables for thesolution of the nonlinear differential equation. These methods have the advantages overpure numerical methods for obtaining the derived quantities accurately for various valuesof the parameters involved at a stretch and also they are valid in much larger parameterdomain as compared with HAM, HPM, ADM and the classical numerical schemes