Lattice Boltzmann approach for MagnetoHydroDynamic convective heat transfer

Abstract

Magneto-convection heat transfer mode inside a partially open-ended 2D enclosure, which is filled with conducting fluid, is considered as suitable research model in order to scope out our understanding into frequent decisive practicable applications in sustainable and renewable energy domains, especially solar energy collectors. Nevertheless surprising, continuously there is no existing literature dealing with it. Further, for Computational Fluid Dynamics (CFD)’s approaches, it is a considerable defiance to predict and anticipate this coupled complex physical engineering problem in MagnetoHydroDynamic (MHD) configurations. In the current numerical prototype, we introduce the lattice Boltzmann method (LBM) in the aim to overcome such engineering simulation difficulty. It is to be noted that this mesoscopic approach becomes nowadays an essential attractive and alternative for CFD approaches to simulate complex numerous fluid flow problems. ) has become an alternative and attractive approach to simulate numerous fluid flow problems. This paper intends to provide a brief review of researches on application of MHD convection with LBM on the prediction of thermodynamic behavior identifying more opportunities for future research. Besides, some new results are highlighted within this paper. To begin, the present LB model is validated against existing benchmark tests in literature. With the handout of this in house Fortran 90 LB code, we investigate the effects of Hartmann number, Rayleigh number, Prandtl number and the position of the partially open-ended side in the magneto-convective partially open ended y filled with conducting fluid cavity primly. It is established that these elements all impact flow and temperature fields patterns significantly. The obtained results can serve crucial theoretical prototypes for the related future practical magneto-convective applications. Our finding will be a useful tool allowing identifying opportunities for future research related to the considered engineering area.