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The Impact of Non-Uniform Magnetic Field on Mixed Convection in a Lid-Driven Cavity Filled with Fe3O4/water nanofluid
* 1 , 2
1  Applied Energetics and Pollution Laboratory, Department of Mechanical Engineering, Faculty of Sciences Technology, University of Mentouri Brothers Constantine1, 25000 Constantine, Algeria
2  Laboratory of Mechanics, Department of Mechanical Engineering, Frères Mentouri University-Constantine, 1, Route de Ain El. Bey, Constantine, Algeria
Academic Editor: Juan Torregrosa

Abstract:

The study of Fe3O4/water nanofluid in a lid-driven cavity under mixed convection conditions has been carried out with a focus on the effect of a non-uniform magnetic field on the heat exchange process. The governing equations, including continuity, momentum, and energy, were resolved using the Finite Volume Method-based in-house solver. Several parameters were considered in the analysis, including Magnetic number, the shape of nanoparticles (cylindrical, spherical, platelet, and brick), and the Reynolds number. The results were presented in the form of isotherms and streamlines, local and average Nusselt numbers. The results showed that applying a non-uniform magnetic field positively impacts the heat exchange process. In addition, an optimal condition was defined based on the shape of nanoparticles, Magnetic number, and Reynolds number. These findings contribute to understanding the dynamics and thermals of ferrofluids in lid-driven cavities and have implications for improving heat transfer applications.

Keywords: Ferrofluid dynamics; Mixed convection; Non-uniform magnetic field; Finite Volume Method; Heat transfer.
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