3D MHD convection and entropy production in a rectangular cavity with localized heating: A study on conductive fluid dynamics

Marwa Nefzi, Brahim Ben-Beya () and Rachid Bessaih ()
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Marwa Nefzi: Laboratory of Soft Matter Physics and Fluid Physics, Physic Department, Faculty of Sciences of Tunis, University of Tunis El Manar, 2092 El Manar 2, Tunis, Tunisia
Brahim Ben-Beya: Laboratory of Soft Matter Physics and Fluid Physics, Physic Department, Faculty of Sciences of Tunis, University of Tunis El Manar, 2092 El Manar 2, Tunis, Tunisia
Rachid Bessaih: LEAP Laboratory, Department of Mechanical Engineering, University of Mentouri, Brothers-Constantine 1, 25000 Constantine, Algeria

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 05, 1-31

Abstract: This study aims to investigate the magnetoconvection of an electrically conducting fluid within a rectangular enclosure through a comprehensive three-dimensional computational analysis. The enclosure has a hemispherical block for bottom heating and incorporates two elliptical sources with differing temperatures along its vertical sidewalls. The primary focus is to optimize heat transfer and fluid flow characteristics within this thermal system by analyzing various control parameters. The simulations were carried out with the relevant parameters of the problem, including the Rayleigh number (103≤Ra≤106), Hartmann number (0≤Ha≤100), the inclination of the magnetic field (0∘≤χ≤90∘), and the radius of the hemispherical block (0.2≤HR≤0.5). Three distinct scenarios represent different positions for the localized heat sources. Among these configurations, the Middle–Middle (MM) arrangement is the most favorable, with the specific value for the radius HR yet to be determined. The findings highlight the effective control of heat transfer rate and irreversibility effects by manipulating the parameters Ha, HR and χ. It is demonstrated that selecting HR and Ha values of 0.4 and 15 allows for optimal thermal system configuration. A correlation with two variables (Ha,HR) expressing the rate of heat transfer through the cavity was established and verified. The analysis of the helicity confirms the predicted optimal case.

Keywords: Magnetoconvection; 3D-simulation; parallelepipedic enclosure; hemispherical block; elliptical source; entropy generation; correlation; helicity (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0129183124502309

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