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

VISHWANATH B. AWATI

[PDF]

Abstract

The paper presents analytical and semi-numerical solution for magnetohy- drodynamic (MHD) boundary layer ow of Casson uid over a exponentially permeable shrinking sheet. The governing partial dierential equations of momentum equations are reduced to ordinary dierential equations by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and innite interval de- mand novel mathematical tools for their analysis. We use fast converging Dirichlet series and approximate analytical solution by the Method of stretching of variables for the solution of the nonlinear dierential equation. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and also they are valid in much larger parameter domain as compared with HAM, HPM, ADM and the classical numerical schemes.

Keywords

magnetohydrodynamics (MHD), boundary layer ow, Casson uid, shrink- ing /stretching sheet, wall mass transfer, Dirichlet series, Powells method, method of stretching of variables.