MHD Stagnation Point-flow of Micropolar Fluids Past a Permeable Stretching Plate in Porous Media with Thermal Radiation, Chemical Reaction and Viscous Dissipation
E. O. Fatunmbi *
Department of Mathematics and Statistics, Federal Polytechnic, Ilaro, Ogun State, Nigeria.
A. Adeniyan
Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The study investigates the steady two-dimensional, stagnation point, heat and mass transfer of an incompressible, electrically conducting micropolar fluid flow past a permeable stretching plate in a Darcy-Forchheimer porous medium. The presence of thermal radiation, chemical reaction, viscous dissipation, heat source/sink and variable thermal conductivity are examined. The governing partial differential equations of the fluid flow are transformed into non-linear ordinary differential equations using similarity variables. The resulting equations are solved by fourth order Runge-Kutta integration scheme alongside shooting method. Furthermore, the effects of embedded governing parameters on the dimensionless velocity, temperature, microrotation and concentration profiles are presented graphically. Similarly, the influences of the physical flow parameters on the Skin friction, Nusselt number, Sherwood and Wall couple stress are examined and presented in tables. Comparison of the present results with the published results in the literature in some limiting situations shows a perfect agreement.
Keywords: Magnetohydrodynamic flow, micropolar fluid, porous medium, stagnation point, stretching plate.