Thermal analysis of magnetohydrodynamic mixed convection in vented channel-driven cavity with corner heater: influence of adiabatic rod and flow parameters

In this study, we investigate the flow structure and heat transfer characteristics within a vented channel-driven cavity. The bottom corner walls of the cavity are heated, and an adiabatic rod is positioned vertically downward from the top wall of the channel to redirect the external forced flow toward interior of the square cavity. Additionally, the flexibility of geometry allows for customization to meet specific requirements of practical application to optimize performance for a particular task. Magnetic field is applied against the vertical direction of the cavity. To address the governing equations, we employed the ADI-finite difference method. The Nusselt number is utilized as the sensitivity parameter for heat transfer assessment. Our investigation primarily focused on assessing the impact of various key physical parameters. This study advances the progress toward more effective and dependable cooling solutions across sectors including aerospace, energy production, and electronics cooling. The results show that higher Reynolds and Richardson numbers enhance heat transfer, but an increased Hartmann number reduces it. Increasing rod length improves heat transfer, whereas changing the rod’s thickness does not significantly boost heat transfer.