Radiation and Hall Effects on Magnetohydrodynamic (MHD) Free Convective Dissipative Fluid in the Presence of Heat Source

Abstract

The investigation deals with a study of one dimensional free convective fluid
flow through a porous medium due to combined effects of thermal and mass
diffusion in the presence of nth order chemical reaction. The objective of this
work is to study heat and mass transfer in an unsteady MHD free convective
flow past an infinite vertical plate with constant suction/injection. Energy
equation takes into account of thermal radiation, heat source and Hall current
effects. Dimensionless governing equations of the problem are solved
numerically under appropriate transformed boundary conditions using an implicit
finite difference scheme. Numerical solutions for temperature, velocity and
concentration fields were obtained for suitable parameters such as buoyancy
ratio parameter, Prandtl number, temperature dependent thermal conductivity
and viscosity parameter, radiation parameter, Forchheimer parameter and
Schmidt number. The local skin-friction, Nusselt number and Sherwood number
were also presented and analyzed. The results obtained are discussed with the
aid of graphs to observe impact of various parameters involved in the problem
under investigation