Numerical modelling of Darcy-Brinkman-Forchheimer magnetohydrodynamic mixed convection flow in a porous medium with transpiration and viscous heating

摘要

A mathematical model is presented to investigate the combined effects of buoyancy, porous inertial drag, boundary vorticity diffusion (Brinkman friction), transverse magnetic field, viscous dissipation, wall transpiration thermal conductivity and various other thermofluid parameters on the convection boundary layer flow of an electrically-conducting fluid past a vertical permeable semi-infinite plate in a saturated porous medium. The transformed boundary layer equations are solved numerically on a ξ-η domain using the robust Keller-box finite difference method and a powerful double-shooting Runge--Kutta method (DSRK). Results are presented graphically for the local skin-friction function (surface shear stress parameter) and the local Nusselt number function (local heat transfer parameter) for a wide range of the pertinent physical parameters. For the special case of ξ = 0 (at the leading edge), plots are given to compare the computations by both numerical methods and found to be in excellent agreement.