Hybrid-lattice Boltzmann Method for the Simulation of Magnetohydrodynamic Conjugate Heat Transfer and Entropy Generation in Three Dimensions

• Published in: Arabian journal for science and engineering (2011) Vol. 49; no. 1; pp. 1181 - 1206
• Main Authors: Benhamou, Jaouad, Channouf, Salaheddine, Lahmer, El Bachir, Jami, Mohammed, Mezrhab, Ahmed
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2024; Springer Nature B.V
• Subjects: Engineering; Entropy; Finite difference method; Fluid flow; Fluid friction; Free convection; Hartmann number; Heat conductivity; Heat exchange; Heat transfer; Heat transmission; Humanities and Social Sciences; Magnetic fields; Magnetic flux; multidisciplinary; Rayleigh number; Research Article-Physics; Science; Thermal conductivity; Conjugate heat transfer; Magnetic field; Heat exchanger; Hybrid-lattice Boltzmann method; Entropy generation
• ISSN: 2193-567X; 1319-8025; 2191-4281
• DOI: 10.1007/s13369-023-08273-y

The exploration of interactions between magnetic fields and thermal convection represents an extremely interesting field of research, which has captured the considerable attention of the scientific community, as evidenced by several recent publications. This investigation opens up promising horizons in diverse fields of application, such as heat exchange systems, electronic devices, plasma analysis, magnetic cell separation, power generation, and many others. In this perspective, the present paper proposes a three-dimensional numerical study of the influence of the magnetic field on free convection and entropy generation in the presence of thermal conduction. The numerical methodology adopted incorporates the finite difference technique for temperature determination and the lattice Boltzmann method for characterizing fluid flows and the magnetic field. The aim is to perform a three-dimensional numerical study of the effect of changing magnetic field intensity, Rayleigh number, and thermal conductivity on heat exchange in a differentially heated cavity divided by a conducting solid, acting as a heat exchange device. The obtained results show that the heat exchange rate is inversely proportional to the increase of the magnetic field intensity and directly proportional to the thermal conductivity and Rayleigh number. In addition, the impact of the magnetic field on entropy production in the thermal system is examined in a second step. The results reveal that increasing the Hartmann number intensifies entropy production due to magnetic influence. However, this increase simultaneously leads to a reduction in the rate of entropy production, attributable to temperature gradients, fluid friction as well as total entropy production.