Hydromagnetic Mixed Convection along a Vertical Cylinder in a Stratified Non-Darcian Porous Medium

Abstract

In the present problem, the simultaneous heat and mass transfer by steady, laminar, incompressible, viscous and conductive to electricity combined convection flow straight a vertical cylinder placed inside a non-Darcian thermally stratified porous medium are considered. The condition of variable surface temperature and variable surface concentration are analyzed. All the regime of convection (free, mixed, and forced) will be studied. The governing nonlinear partial differential equations will be converted to nonsimilar form by using suitable transformations. Then they are solved by a finite difference method. Hydrodynamic, thermal, and concentration profiles as well as local Nusselt and Sherwood numbers that reflect the amount of heat and mass transfer will be analyzed and discussed. The results show that increasing the value of the power law index of the surface temperature of the cylinder, curvature parameter, and buoyancy ratio leads to enhance the rates of heat and mass transfer. On contrast the rates of heat and mass transfer are reduced when the value of inertia effect parameter, square of the Hartmann number, and local thermal stratification parameter are raised. Enhancing the value of Lewis number causes lowering the rate of heat transfer and growing the rate of mass transfer.