SIMILARITY SOLUTION OF HYDROMAGNETIC FLOW AND HEAT TRANSFER PAST AN EXPONENTIALLY STRETCHING PERMEABLE VERTICAL SHEET WITH VISCOUS DISSIPATION, JOULEAN AND VISCOUS HEATING EFFECTS

Analysis is conducted on natural convective flow and heat transfer of a boundary layer MHD flow over an exponentially stretching sheet encompassed in an expanse of an incompressible, radiating and electrically conducting fluid in the presence of viscous dissipation, viscous and Joulean heating along with suction/injection, the case of a steady two dimensional model. Using appropriate similarity variables, the governing coupled non-linear equations are reduced to a set of ODEs along with the considered BCs, which are solved numerically by shooting iteration technique alongside the fourth order Runge-Kutta integration scheme through a reliable software package. A comparison with previously published results on the similar special cases is made, and the results are found to be credible. The effect of Prandtl number, Eckert number, buoyancy force, Lorentz force, the thermal radiation, viscous dissipation, Joule heating, porous medium permeability and mass blowing or fluid withdrawal on the fluid behavior are illustrated in physical terms. Finally, numerical values of pertinent physical quantities, such as the skin-friction coefficient, the local Nusselt number are presented in tabular form while those of the fluid velocity and temperature are illustrated and discussed by graphs.