Magnetohydrodynamic mixed convection in a double lid driven porous square enclosure filled with copper-water nanofluid with heat generating elliptic block

Magnetohydrodynamic mixed convection in a double lid driven porous square enclosure filled with copper- water nanofluid with heat generating elliptic block has been numerically simulated in this paper. The governing differential equations are solved by finite element method (Galerkin weighted residual method). The top lid moves at a constant speed with cold temperature. The bottom lid moves at constant speed with heated temperature, linearly heated left and right wall, and a heat generating elliptic body is placed at the center. The magnetic field of strength B is applied parallel to x-axis. Numerical results are obtained for a wide range of parameters such as Darcy number, Grashof number, Reynolds number and copper-water nanofluids is used with Prandtl number of 6.2 throughout the simulation. The streamlines, isotherms, velocity plots and the variation of the average Nusselt number at the hot surface as well as average fluid temperature in the enclosure is presented and discussed. Comparisons with previously numerical works are performed and good agreements between the results are observed. It is found that the governing parameters would result in higher heat transfer. Moreover, it is observed that the both the Darcy number and moving lid ordinations have a significant effect on the flow and thermal fields in the enclosure.