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<p>This research investigates the heat transfer and melting rate of gallium within a large-scale finned cavity under the influence of a magnetic field. A two-dimensional mathematical model was developed, and simulations were conducted using a finite volume method-based program to solve the governing equations. Custom numerical functions (UDFs) were incorporated, and a magnetic field ranging from 0 to 0.1 Tesla was applied. The heating wall was maintained at a constant temperature of 43&#xa0;°C. Key properties analyzed included the liquid fraction, heat flow rate, average cavity temperature, and surface Nusselt numbers. The gallium melting process was monitored over a 60-min period until thermal equilibrium was achieved. The simulation results were validated against experimental data, showing strong agreement. The findings revealed that the application of a magnetic field influences the gallium melting rate, with a 0.1 Tesla magnetic flux reducing the melting rate by 2%. This indicates that Lorentz forces impede heat transfer through natural convection.</p>

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Magnetohydrodynamic (MHD) effects on heat transfer and melting in a large-scale cavity with fins containing gallium considering buoyancy and Lorentz forces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月25日

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  • Atef Chibani,
  • Moustafa Boukraa,
  • Tawfiq Chekifi,
  • Ayele Tulu,
  • Abdelhakim Settar,
  • Slimane Merouani,
  • Chahrazed Boucetta

摘要

This research investigates the heat transfer and melting rate of gallium within a large-scale finned cavity under the influence of a magnetic field. A two-dimensional mathematical model was developed, and simulations were conducted using a finite volume method-based program to solve the governing equations. Custom numerical functions (UDFs) were incorporated, and a magnetic field ranging from 0 to 0.1 Tesla was applied. The heating wall was maintained at a constant temperature of 43 °C. Key properties analyzed included the liquid fraction, heat flow rate, average cavity temperature, and surface Nusselt numbers. The gallium melting process was monitored over a 60-min period until thermal equilibrium was achieved. The simulation results were validated against experimental data, showing strong agreement. The findings revealed that the application of a magnetic field influences the gallium melting rate, with a 0.1 Tesla magnetic flux reducing the melting rate by 2%. This indicates that Lorentz forces impede heat transfer through natural convection.