Numerical study of magneto-hydrodynamic free convection heat transfer and fluid flow

Abstract

Magneto-Hydro-Dynamic associate to convection heat transfer mode in a two-dimensional cavity filled with conducting fluid having a partially open-ended wall, is discussed in the present work. This engineering application is crucial to understand dynamic and thermal behavior of flow in frequent conclusive practicable and industrial applications in renewable and sustainable energy fields, specifically in collectors based on solar energy. However, scare open literature is find dealing with this important subject. Simulation of this coupled complex engineering physical problems in Magneto-Hydrodynamic (MHD) configurations is a great challenge for traditional CFD numerical approaches. In this paper, we apply the lattice Boltzmann method (LBM) in order to resolve a given engineering numerical simulation struggle. Knowing that, LBM is becoming in the last decades, an essential attractive tool for existing CFD approaches aiming to resolve complex numerous fluid flow problems with complex numerous difficulties. We intend in this work to afford a short review of researches dealing with application involving MHD convective simulations based on LBM aiming to predict the dynamic and thermal behavior recognizing more openings horizon for coming research. In addition, novel findings were highlighted within this work. First, the proposed Lattice Boltzmann model is validated and good agreement is found. Using an in-house LBM code, we introduce the effect of the Rayleigh number, Prandtl number, Hartmann number and geometrically, the position of the partially open-ended wall side in the MHD enclosure. Parametric findings show that all the coefficients influence significantly flow field and also temperature field patterns. This paper provides very useful beginnings for the applicable future MHD convective engineering studies.