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Effect of Non-Identical Magnetic Fields on Thermomagnetic Convective Flow of a Nanoliquid Using Buongiorno’s Model

Author

Listed:
  • Nidhal Ben Khedher

    (Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il 81451, Saudi Arabia
    Laboratory of Thermal and Energetic Systems Studies (LESTE), National School of Engineering of Monastir, University of Monastir, Monastir 5000, Tunisia)

  • Mikhail Sheremet

    (Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634045 Tomsk, Russia)

  • Abed Saif Alghawli

    (Computer Science Department, Prince Sattam Bin Abdulaziz University, AL-Aflaj 11912, Saudi Arabia)

  • Abdullah Mohamed

    (Research Centre, Future University in Egypt, New Cairo 11745, Egypt)

  • Seyed Abdollah Mansouri Mehryan

    (Young Researchers and Elite Club, Yasooj Branch, Islamic Azad University, Yasooj 7591493686, Iran)

Abstract

Energy transport intensification is a major challenge in various technical applications including heat exchangers, solar collectors, electronics, and others. Simultaneously, the control of energy transport and liquid motion allows one to predict the development of the thermal process. The present work deals with the computational investigation of nanoliquid thermogravitational energy transport in a square region with hot cylinders along walls under non-uniform magnetic influences. Two current-carrying wires as non-identical magnetic sources are set in the centers of two heated half-cylinders mounted on the bottom and left borders, while the upper wall is kept at a constant low temperature. Buongiorno’s model was employed with the impact of Brownian diffusion and thermophoresis. Governing equations considering magnetohydrodynamic and ferrohydrodynamic theories were solved by the finite element technique. The effects of the magnetic sources strengths ratio, Lewis number, Hartmann number, magnetic number, buoyancy ratio, Brownian motion characteristic, and thermophoresis feature on circulation structures and heat transport performance were examined. For growth of magnetism number between 0 and 10 3 one can find an increment of heat transfer rate for the half-cylinder mounted on the bottom wall and a reduction of heat transfer rate for the half-cylinder mounted on the left wall, while for an increase in magnetism number between 10 3 and 10 4 , the opposite effects occur. Moreover, a rise in the Lewis number characterizes the energy transport degradation. Additionally, an intensification of energy transport could be achieved by a reduction of the thermophoresis parameter, while the Brownian diffusion factor and buoyancy ratio have a negligible influence on energy transport. Furthermore, the heat transfer rate through the half-cylinder mounted on the bottom wall declines with an increase in the magnetic sources strengths ratio.

Suggested Citation

  • Nidhal Ben Khedher & Mikhail Sheremet & Abed Saif Alghawli & Abdullah Mohamed & Seyed Abdollah Mansouri Mehryan, 2022. "Effect of Non-Identical Magnetic Fields on Thermomagnetic Convective Flow of a Nanoliquid Using Buongiorno’s Model," Mathematics, MDPI, vol. 10(8), pages 1-19, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1222-:d:789468
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    References listed on IDEAS

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    1. Sardari, Pouyan Talebizadeh & Giddings, Donald & Grant, David & Gillott, Mark & Walker, Gavin S., 2020. "Discharge of a composite metal foam/phase change material to air heat exchanger for a domestic thermal storage unit," Renewable Energy, Elsevier, vol. 148(C), pages 987-1001.
    2. Fatih Selimefendigil & Hakan F. Oztop & Mikhail A. Sheremet & Nidal Abu-Hamdeh, 2019. "Forced Convection of Fe 3 O 4 -Water Nanofluid in a Bifurcating Channel under the Effect of Variable Magnetic Field," Energies, MDPI, vol. 12(4), pages 1-16, February.
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    1. Nidhal Ben Khedher & Mohammad Shahabadi & Abed Saif Alghawli & Christopher Neil Hulme & Seyed Abdollah Mansouri Mehryan, 2022. "Numerical Study of the Flow and Thermomagnetic Convection Heat Transfer of a Power Law Non-Newtonian Ferrofluid within a Circular Cavity with a Permanent Magnet," Mathematics, MDPI, vol. 10(15), pages 1-16, July.

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