MHD FLOW AND HEAT TRANSFER WITH TEMPERATURE GRADIENT DEPENDENT HEAT SINK IN A POROUS MEDIUM PAST A STRETCHING SURFACE

摘要

Free convective laminar boundary layer flow and heat transfer of an incompressible viscous fluid through a porous medium in a uniform magnetic field caused by stretching a porous wall in the presence of temperature gradient dependent heat sink/source is studied. Exact solutions are obtained for momentum and heat transfer boundary layer equations and the results are presented interms of confluent hypergeometric (Kummers) functions. Various graphs are drawn for longitudinal and transverse velocities with suction parameter (S), permeability parameter (k2), magnetic parameter (M) and variations in temperature distribution with suction parameter (S), wall temperature parameter (P), Prandtl number (P_r), heat source/sink parameter (Q) are also obtained. It is observed from the findings that the suction parameter, permeability parameter and the magnetic parameter lesser the longitudinal velocity distribution where as enhances the transverse velocity distribution. Finally the results of the present study are compared with the published results of various studies.