The study of Newtonian and Non-Newtonian fluid in porous medium is very important owing to its wide area of practical applications. The applications are in engineering practices, particularly in applied geophysics, geology, food technology, filtration and oil recovery processes. Several studies involving heat and mass transfer in Newtonian fluid flow through porous media have been undertaken. This study, evaluated the effects of variable viscosity, viscous dissipation, porosity and chemical reaction on heat and mass transfer flow of MHD micro polar fluid along a permeable stretching sheet in a non-Darcian porous medium. Dimensionless parameters were used to non-dimensionalize the governing equations and the resulting sets of equations were analyzed and solved numerically by using Runge Kutta with shooting method. The effects of the various physical parameters entering into the problem on velocity, micro rotation, temperature and concentration profiles are presented graphically. Also, the effects of pertinent parameters on local skin-friction coefficient, local Nusselt number and local Sherwood number are also presented graphically and discussed. It was concluded that variable porosity and viscosity increased velocity and reduced temperature of MHD flow. Increment in viscous dissipation decreased the temperature of the flow while the physical parameters had significant effect on the velocity, temperature and concentration profiles of the flow.
Keywords: Darcian porous medium, Magneto hydrodynamics (MHD), chemical reaction, micro polar fluid, viscous dissipation and physical parameter
