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Heat Transfer and Fluid Circulation of Thermoelectric Fluid through the Fractional Approach Based on Local Kernel

Author

Listed:
  • Maryam Al Owidh

    (Department of Physics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia)

  • Basma Souayeh

    (Department of Physics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
    Laboratory of Fluid Mechanics, Physics Department, Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis 2092, Tunisia)

  • Imran Qasim Memon

    (Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76062, Pakistan)

  • Kashif Ali Abro

    (Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76062, Pakistan
    Institute of Ground Water Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9401, South Africa)

  • Huda Alfannakh

    (Department of Physics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia)

Abstract

A thermoelectric effect occurs when a material’s intrinsic property directly converts temperature differences applied across its body into electric voltage. This manuscript presents the prediction for maximum and optimal heat transfer efficiency of a thermoelectric fluid via the non-classical approach of the differential operator. The fractionalized mathematical model is also established to analyze the efficiency and characteristics of thermoelectric fluid through a temperature distribution and velocity field. The comprehensive analytical approach of integral transforms and Cardano’s method are applied to provide analytical solutions that include the dynamic investigation of the temperature distribution and velocity field. A dynamic investigation of the temperature distribution and velocity field of the thermoelectric fluid is explored on the basis of magnetization and anti-magnetization, which describe the behavior for sine and cosine sinusoidal waves. The rheological parameter, i.e., magnetization, suggests that by employing varying magnetic fields, the magnetized intensity generates 34.66% of the magnetic hysteresis during the thermoelectric effect.

Suggested Citation

  • Maryam Al Owidh & Basma Souayeh & Imran Qasim Memon & Kashif Ali Abro & Huda Alfannakh, 2022. "Heat Transfer and Fluid Circulation of Thermoelectric Fluid through the Fractional Approach Based on Local Kernel," Energies, MDPI, vol. 15(22), pages 1-12, November.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:22:p:8473-:d:971388
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    References listed on IDEAS

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    Cited by:

    1. Basma Souayeh & Kashif Ali Abro & Suvanjan Bhattacharyya, 2023. "Editorial for the Special Issue “Heat Transfer Enhancement and Fluid Flow Features Due to the Addition of Nanoparticles in Engineering Applications”," Energies, MDPI, vol. 16(5), pages 1-3, February.

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