Unsteady MHD Boundary Layer Flow of Casson Fluid Over an Inclined Surface Embedded in a Porous Medium with Thermal Radiation and Chemical Reaction

Abstract

This work reports the numerical study of MHD free convection boundary layer flow of Casson fluid brought by vertically inclined porous surface in presence of thermal radiation and chemical reaction effects. Darcian viscous flow model for the porous medium is employed and the Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The homogeneous chemical reaction of first order is accounted in mass diffusion equation. The arising mathematically modelled non-linear partial differential equations of Casson fluid flow are successfully converted into linear coupled partial differential equations with the source of suitable transformation. The numerical solutions are computed through the application of finite element method. The effect logs of an interesting physical parameters namely, Grashof number for heat and mass transfer, Magnetic field parameter, Permeability parameter, Prandtl number, Schmidt number, Thermal radiation parameter, Heat sink parameter, Chemical reaction parameter, Casson fluid parameter and Angle of inclination parameter number on velocity, temperature and concentration profiles are discussed graphically. Further, the variations of skin-friction coefficient, heat and mass transfer rates are identified by way of tables. Comparison with the previous published literature is presented and an excellent agreement is reported.