Hydromagnetic Boundary-Layer Flow And Heat Transfer Over A Convectively Heated Permeable Vertical Plate Stretching Exponentially In Thermally Radiating Porous Medium

Abstract

The aim of the present study is to investigate the combined effects of magnetic field and porous medium permeability on an hydromagnetic and thermally radiating Newtonian fluid past a permeable exponentially stretching vertical flat plate with convective heat exchange at the surface with the surroundings. Consideration is given to the influence of thermal and Ohmic dissipation, surface mass flux (injection or suction) as well as the velocity ratio of the mainstream with the upstream. The mainstream velocity is assumed to be stretched exponentially and the prescribed wall temperature is also of the exponential form. The governing system of nonlinear partial differential equations is reduced into another system of ordinary differential equations by means of extant transformation, and the resulting equations are then solved  numerically by a shooting technique. The features of the flow and heat transfer characteristics within the boundary layer are examined, analyzed and discussed with the help of tables and Maple-codes generated plots. The results unveil that the combined magnetic and porous medium parameter impedes the fluid
motion, radiation and Biot parameters enhance the fluid temperature, Grashof number and the velocity ratio accelerate the fluid motion amongst others. The results compare reasonably well with previous studies in the literature.