Numerical computations of magnetohydrodynamic (MHD) thermal fluid flow in a permeable cavity: A time dependent based study

This study presents a comprehensive analysis of unsteady, two-dimensional flow with the interaction between cold walls and heated cylindrical obstacles. The investigation focuses on the interplay among fluid dynamics, heat transfer, and magnetic fields. The behavior of the conducting fluid with the effect of a magnetic field present is described using the MHD equations, while the obstacles are maintained at elevated temperatures. The unsteady nature of the flow introduces additional complexities. The analysis provides insights into various flow pattern formation, boundary layers, and thermal distributions. The impact of magnetic forces on fluid dynamics and heat transfer is examined, shedding light on the overall behavior of the system. The obtained results clearly indicate that changes in the spacing distance on cylindrical obstacles will induce deformations in the isotherms, especially near the obstacles, resulting in localized variations. As the Hartmann number increases, the impact of magnetic forces becomes more pronounced. An increase in the Eckert number, tends to improve convective heat transfer efficiency. This research contributes to a better understanding of MHD-driven flow with practical implications in areas such as magnetohydrodynamic power generation, astrophysical phenomena, and controlled fusion.