The study of a magneto hydrodynamic (MHD) free convection flow of an incompressible viscous fluid flow past a vertical surface is analyzed by taking into account viscous dissipation under the influence of radiation effect and chemical reaction with constant heat and mass fluxes. The governing partial differential equations have been converted into a set of ordinary differential equations using non dimensional quantities. The perturbation technique has been applied to solve the system of partial differential equations. The velocity, temperature and concentration fields have been studied for the effect of the permeability parameter (α), Grashof number for heat transfer (Gr), Grashof number for mass transfer (Gm), Prandtl number (Pr), magnetic parameter (M), chemical reaction parameter (Kr), Schmidt number (Sc), Eckert number (E), radiation parameter (F) etc. The expressions for the skin-friction, rate of heat transfer and rate of mass transfer are also derived. It is observed that when the radiation parameter increases, the velocity increases near the vertical surface. It is also seen that the concentration decreases with an increase in the chemical reaction parameter (Kr).
The present study deals with thermal radiation effect on two dimensional magnetohydrodynamics (MHD) natural convection boundary layer flow of viscous fluid surrounded by porous vertical surface with heat source, chemical reaction and radiation effect. The governing partial differential equations have been converted into a set of ordinary differential equations using non dimensional quantities. Perturbation technique has been employed to solve the system of partial differential equations. Most of the studies so far have presented the numerical and semi analytical solution for flow velocity and temperature in the form of a series solution. The effects of various parameters on flow variables are illustrated graphically, and the physical aspects of the problem are discussed. It has been observed that the velocity increase with increasement in permeability and radiation parameters and reverse trend has been found with respect to magnetic parameter.
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