MHD convection in a partially driven cavity with corner heating

Abstract

Abstract: The paper presents a pertinent modification to the wall-moving thermal systems (classically represented by lid-driven cavity) by introducing a partial motion of the boundary walls. The effect of partial wall motion is investigated under magnetohydrodynamic (MHD) mixed convection in the cavity filled with porous medium. The corner heating arrangement is chosen for this investigation. The heater is placed at the right-bottom corner of the cavity, whereas the halves of the adjacent sides (which are moving) of the top-left corner are utilized for cooling. The present MHD thermofluid flow in porous cavity under partially driven condition is solved numerically using Brinkman–Forchheimer–Darcy model and analyzed using heatlines, streamlines, isotherms and average Nusselt number. The detailed insights of partially driven cavity are captured for different values of Richardson number (Ri = 0.1–100), Reynolds number (Re = 10–500), Hartmann number (Ha = 0–100), Darcy number (Da = 10−7 to 10−3) and porosity (ε = 0.1–1.0). The result reveals that the partial wall motion and its direction have a significant impact on the thermofluid flow structures and heat transfer rate. Graphic abstract: [Figure not available: see fulltext.]