MHD Oberbeck Convection in a Casson Fluid Over a Porous Bed with Radiative Boundary

Abstract

Oberbeck convection in a Casson fluid through a vertical channel filled with porous material with an external constraint of transverse magnetic field in the presence of radiative heat flux with a boundary being radiative is studied in this paper. Analytical solution is obtained for small values of the buoyancy parameter using perturbation technique. Numerical technique is used to validate and generalize the analytical solution for larger values of buoyancy parameter. The effect of flow parameters on velocity and temperature, namely Casson parameter, Hartmann number, porous parameter, Biot number and buoyancy parameter are illustrated graphically. Mass flow rate and skin friction are also computed. It is found that increase in Hartmann number, porous parameter, Biot number and buoyancy parameters reduced the velocity whereas increase in Casson parameter increases the velocity. The study finds applications in solar collectors, nuclear technology, etc.,