Effects of Variable Viscosity and Thermal Conductivity on Unsteady Free Convective Heat and Mass Transfer MHD Flow of Micropolar Fluid with Constant Heat Flux through a Porous Medium

Abstract

effects of temperature dependent viscosity and thermal conductivity on magneto-hydrodynamic unsteady free convective heat and mass transfer flow of an incompressible micropolar fluid through a porous medium along an infinite vertical plate is studied. A magnetic field of uniform strength is assumed to be applied which makes an angle α with the plane transverse to the direction of the main flow. A similarity parameter σ has been introduced and the suction velocity is considered to be inversely proportional to this time dependent parameter. The partial differential equations governing the flow, heat and mass transfer of the problem are transformed into dimensionless form of ordinary differential equations by using similarity substitutions. The governing boundary value problems are then solved numerically using Runge-Kutta shooting method. The effects of various parameters, viz. viscosity parameter, thermal conductivity parameter, mass transfer parameter, coupling constant parameter, Grashoff number, Prandtl number, Schmidt number and magnetic parameter on velocity, secondary velocity, micro-rotation, temperature and concentration field are obtained and presented graphically. The Skin-friction, Nusselt number and Sherwood number are also computed and presented in table. Keywordsfluid, variable viscosity, thermal conductivity, heat and mass transfer, MHD Flow, Hall Current