Finite Element Analysis for Magneto-Convection Heat Transfer Performance in Vertical Wavy Surface Enclosure: Fin Size Impact

The goal of this paper is to represent a numerical study of magnetohydrodynamic mixed convection heat transfer in a lid-driven vertical wavy enclosure with a fin attached to the bottom wall. We use a finite element method based on Galerkin weighted residual (GWR) techniques to set up the appropriate governing equations for the present flow model. We have conducted a parametric investigation to examine the impact of Hartmann and Richardson numbers on the flow pattern and heat transmission features inside a wavy cavity. We graphically represent the numerical results, such as isotherms, streamlines, velocity profiles, local and mean Nusselt numbers, and average surface temperature. Comparisons between the results of this work and previously published work in a literature review have been produced to examine the reliability and consistency of the data. The different sizes of the fin surface significantly impact flow creation and temperature fields. Additionally, the long fin size is necessary to enhance the heat transfer rate on the right surface at large Richardson numbers and low Hartmann numbers. Fin surfaces can significantly increase the mixing of fluid inside the enclosure, which can mean reductions in reaction times and operating costs, along with increases in heat transfer and efficiency.