Mixed Convection Heat Transfer in a Vented Rectangular Enclosure with an Insulated Prismatic Block under Magnetic Field
M. U. Ahammad *
Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur-1707, Bangladesh.
Sk. Farid
Mirpur Girls Ideal College, Mirpur-10, Dhaka-1216, Bangladesh.
Shohag Hossain Reyad
Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur-1707, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
In the present research, heat transfer performance, which is cooling efficiency, has been analyzed under mixed convective conditions in a vented rectangular enclosure having a centered prismatic adiabatic body. The studied problem is governed by the conservation of mass and energy along with momentum equations, considering the fluid as two-dimensional, laminar, and steady state. The Galerkin-weighted residual-based finite element method is applied for the computational procedure in this work. Velocity and temperature profiles, as well as heat transfer rate, are focused on in graphical and tabular form for the wide ranges of Reynolds number (50 ≤ Re ≤ 500) and Prandtl number (0.71 ≤ Pr ≤ 7.1). The magnetic field parameter Hartmann number is fixed at Ha = 50 throughout the simulation. It has been found that Re has a significant role both in flow patterns and thermal distributions, whereas Pr has a noteworthy control on the temperature field. More cooling efficiency is followed for the higher values of two considered controlling parameters. The important findings of this study will be beneficial for the scientific community regarding design optimization and performance enhancement in magnetohydrodynamic (MHD) applications.
Keywords: Heat transfer, rectangular enclosure, prismatic block, pertinent parameter