Effects of Variable Viscosity and Thermal Conductivity on MHD Flow Past A Moving Vertical Plate With Variable Surface Temperature And Concentration in A Porous Medium

Abstract

This paper investigates the influence of variable viscosity and thermal conductivity on the problem of steady laminar two dimensional magnetohydrodynamic (MHD) boundary layer flow past a moving vertical plate in a porous medium. The temperature and concentration level at the plate surface are assumed to follow a power law type of distribution. Fluid viscosity and thermal conductivity are assumed to vary as an inverse linear function of temperature. The non-linear partial differential equations with prescribed boundary conditions governing the flow are discretized by using Crank-Nicholson formula and the resulting finite difference equations are solved by an iterative scheme based on Gauss-Seidel method by developing computer codes for  matlab software. The solution for velocity field, temperature and concentration fields are presented graphically. The skin-friction coefficient at the plate, the Nusselt number and the Sherwood number are presented in tables. The effects of different parameters are also interpreted.