Effect of Free Convection on Unsteady Viscous Flow of an Electrically Conducting Fluid past an Infinite Vertical Porous Plate with Heat Source/Sink in presence of Magnetic Field

摘要

This paper elucidates the effects free convection on unsteady flow of a viscous incompressible electrically conducting fluid along an infinite vertical porous flat plate with heat source/sink in presence of transverse magnetic field. The governing equations of the flow field are solved using multi parameter perturbation technique and approximate solutions are obtained for velocity, temperature, skin friction and the heat flux. The effects of important flow parameters such as Grashof number for heat transfer, heat source/sink parameter, magnetic parameter, Prandtl number etc. on the flow field are analyzed with the aid of figures and tables. It is noticed the effect of increasing Grashof number for heat transfer G_r or heat source parameter S is to enhance the velocity at all points of the flow field while a growing magnetic parameter M reverses the effect. A growing Prandtl number P_r/magnetic parameter M decreases the temperature of the flow field at all points and the effect of raising the heat source parameter is to enhance the temperature of the flow field at all points. Again an increase in magnetic parameter or Prandtl number decreases the skin friction at the wall while in absence of magnetic field (M=0), a growing Prandtl number reverses the effect. Further, the magnitude of heat flux at the wall decreases at all points as the magnetic parameter gradually increases in the flow field. But in case of a growing Prandtl number, there is an increase in the magnitude of heat flux at the wall at all points.