Influence of Heat Sink on Magneto-thermal Radiative Convective Oscillatory Flow of Micropolar Fluid in a Porous Medium with Convective Boundary Condition

Abstract

The present paper deals with the investigation of the internal heat sink and magnetic field effects on natural convection oscillatory heat and mass transfer of an electrically conducting micropolar fluid flow over a vertical plate in a porous medium in the presence of chemical reaction and thermal radiation with convective boundary condition. The governing equations are converted into their dimensionless form by using non-similar transformations. The governing coupled non-linear partial differential equations are then converted into ordinary differential equations using perturbation analysis. These equations are then solved analytically with appropriate convective thermal and solutal boundary conditions valid at the porous interface. The effect of Prandtl number, heat sink parameter, Schmidt number, thermal radiation, magnetic field, chemical reaction and permeability parameter are analyzed on the temperature and concentration distributions, and local Nusselt number. The results obtained from the computation of analytical results are depicted graphically. The results show that the effects of viscosity ratio, magnetic field and internal heat sink decrease the frictional coefficient and concentration distribution at the wall whereas reverse effects are seen on the local Nusselt number.