Magnetohydrodynamic Conjugate Flow of Casson Fluid Over a Vertical Plate Embedded in a Porous Medium with Arbitrary Wall Shear Stress

Abstract

The influence of thermal radiation on unsteady magnetohydrodynamic (MHD) free convection flow of Casson fluid over a vertical plate embedded in porous medium with arbitrary wall shear stress has studied. Casson fluid is a non-Newtonian fluid. The partial differential equations that govern the flow, heat and mass transfer are transformed to non-dimensional by using suitable non-dimensional variables, which are then solved analytically by using the Laplace transform technique. Analytical expressions for velocity, temperature and concentration fields are determined. Additionally, the exact expressions of the Nusselt number and Sherwood number are also obtained. Numerical results of velocity, temperature and concentration profiles with various values of embedded flow parameters are graphically shown and the influences to the characteristic of the fluid flow are discussed in detail. The variations in Nusselt number and Sherwood number are displayed in tabular form.