A Finite Element Study of the Transport Phenomena in MHD Micropolar Flow in a Darcy-Forchheimer Porous Medium

摘要

We analyze the free convection magnetohydrodynamic micropolar flow, heat and species diffusion between vertical plates enclosing a non-Darcian porous medium with variable thermal conductivity and internal heat generation/absorption effects. The non-linear coupled partial differential conservation equations are transformed and solved using the finite element method subjected to appropriate boundary conditions. Numerical results for the velocity, angular velocity, temperature and concentration profiles as well as for the heat transfer rate and skin friction are plotted graphically and tabulated for the controlling thermophysical and hydrodynamic parameters, namely hydromagnetic number buoyancy ratio parameter, vortex viscosity parameter, Darcy number, Forchheimer number, thermal conductivity parameter and heat absorption/generation parameter to demonstrate the flow and transport phenomena behaviour. It is also shown that the volume flow rate, the total heat rate and the total species rate added to the fluid are decreased with a rise in vortex viscosity parameter. The flow scenario finds applications in Chemical processing, metallurgical transport modeling, aerodynamic heating and many geophysical processes e.g. crude oil recovery.