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ARTICLE

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

Md. Fayz-Al-Asad^1,4, F. Mebarek-Oudina^2,*, H. Vaidya³, Md. Shamim Hasan⁴, Md. Manirul Alam Sarker⁴, A. I. Ismail⁵

1 Department of Mathematics, American International University–Bangladesh, Kuratoli, Khilkhet, Dhaka, 1229, Bangladesh
2 Department of Physics, Faculty of Sciences, University of 20 Août 1955-Skikda, Skikda, 21000, Algeria
3 Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Vinayaka Nagar, Ballari, Karnataka, 583105, India
4 Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka, 1000, Bangladesh
5 Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, Saudi Arabia

* Corresponding Author: F. Mebarek-Oudina. Email:

(This article belongs to the Special Issue: Advances in Computational Thermo-Fluids and Nanofluids)

Frontiers in Heat and Mass Transfer 2024, 22(3), 817-837. https://doi.org/10.32604/fhmt.2024.050814

Received 19 February 2024; Accepted 25 April 2024; Issue published 11 July 2024

Abstract

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.

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