Hiemenz Steady Hydromagnetic Flow and Heat and Mass Transfer Through a Porous Medium onto a Stretching Surface

In the present paper, steady stagnation flow of conducting fluid through a porous medium over a flat stretching surface with heat absorption/generation and chemical reaction in the presence of magnetic field has been studied under Soret and Dufour effects. The governing partial differential equation involved in this analysis viz conservation of mass, momentum, energy and concentration are transformed into self similar steady equations using similarity transformations and are solved numerically by using the Runge-Kutta fourth order scheme along with shooting technique for the whole domain for different existing flow parameters in this investigation. A representative set of graphical results for the flow field, temperature and concentration are presented for the different existing non dimensional flow parameters. The dimensionless velocity profiles are seen to decrease with increasing the magnetic, Lewis, porosity, viscosity, radiation, chemical reaction parameters and increases with Soret, Dufour, Stretching, thermal and concentration buoyancy parameters. An enhancement of temperature and concentration profiles are observed with increasing magnetic, and porosity parameter and the both temperature and concentration fall down with increment of surface stretching parameter, Prandtl number, thermal and concentration buoyancy parameters. On the other hands, the concentration is seen to become more thicker with enhancement of Soret, radiation, viscosity parameters while the reversed effects is observed in the case of temperature distribution. The reduction in concentration is observed with the increasing Lewis, Dufour, heat absorption, chemical reaction parameter and enhancement in temperature is noted for these parameters. Furthermore, the shear stress parameters, the rate of heat transfer and mass transfer are derived for existing non-dimensional flow parameters. A special case of our results obtained during investigation is an excellent agreement with an earlier published work.