MHD natural convection and thermal control inside a cavity with obstacles under the radiation effects

Understanding of flow nature inside a close geometry as well as analysis of heat augmentation through fluids has been gaining a vital interest among research community due to industrial and engineering applications. Herein, a model study is conduced to investigate the heat and mass transfer of Magnetohydrodynamic (MHD) flow enclosed a square cavity with top wall is heated. Two heated and two clod square obstacles are placed inside the square cavity. Feasible nondimensional variables are introduced to transform the continuity, momentum and energy equations into nondimensional form. A finite element model is developed and applied to investigate the numerical solutions of nondimensional set of partial differential equations. In order to scrutinize the significant influence of dimensionless parameters on streamlines, isotherms and isoconcentrations simulations are executed when the bottom squares are heated. It is detected that Nusselt numbers increases as enhancing the thermal radiation parameter. Comparison of the achieved results for local and average Nusselt numbers with published results are presented, which are evident that the suggested method is well-matched to examine the solutions of such types of problems and it can be extended for solving diversified problem of physical nature having complex geometry.