MHD FLOW AND HEAT TRANSFER OF AN EYRING - POWELL FLUID OVER A LINEAR STRETCHING SHEET WITH VISCOUS DISSIPATION - A NUMERICAL STUDY

The present work is devoted to study the numerical simulation of steady magnetohydrodynamic flow and heat transfer of an Eyring-Powell fluid over a stretching sheet with viscous dissipation. The fluid is taken to be two dimensional electrically conducting and the flow is induced by a stretching surface. The basic governing partial differential equations of non-Newtonian fluid are reduced into the coupled nonlinear ordinary differential equations by using similarity transformations. The resulting ordinary differential equations are then solved numerically using shooting method with fourth order RungeKutta scheme. The effects of Hartmann number, Eckert number, Grashoff number and Eyring-Powell fluid parameters on the velocity, temperature, skin friction and Nusselt number are analyzed graphically. The result reveals that the effects of nonNewtonian fluid parameters γ and β on velocity and temperature profiles are completely dissimilar. A comparison with the earlier available work shows excellent agreement.