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Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface

Author

Listed:
  • Ebrahem A. Algehyne

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
    Nanotechnology Research Unit (NRU), University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Essam R. El-Zahar

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, P.O. Box 83, Al-Kharj 11942, Saudi Arabia
    Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt)

  • Muhammad Sohail

    (Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, Pakistan)

  • Umar Nazir

    (Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, Pakistan)

  • Hussein A. Z. AL-bonsrulah

    (Department of Mechanical Engineering, Faculty of Engineering, Kufa University, Najaf 54002, Iraq)

  • Dhinakaran Veeman

    (Centre for Computational Mechanics, Chennai Institute of Technology, Chennai 600069, India)

  • Bassem F. Felemban

    (Department of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

  • Fahad M. Alharbi

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

Abstract

The numerical, analytical, theoretical and experimental study of thermal transport is an active field of research due to its enormous applications and use in numerous systems. This report covers the impacts of thermal transport on pseudo-plastic material past over a horizontal, heated and stretched porous sheet. Modeling of energy conservation is based upon a generalized heat flux model along with a heat generation/absorption factor. The modeled phenomenon is derived in the Cartesian coordinate system under the usual boundary-layer approach proposed by Prandtl, which removes the complexity of the problem. The modeled rheology is obtained in the form of coupled, nonlinear PDEs. These derived PDEs are converted into ODEs with the engagement of similarity transformation. Afterwards, converted ODEs containing some emerging parameters have been approximated numerically with a powerful and effective scheme, namely the finite element approach. The obtained results are compared with the published findings as a limiting case of current research, and an excellent agreement in the obtained solution was found, which guarantees the effectiveness of the used methodology. Furthermore, it is recommended that the finite element approach is a good method among other existing methods and can be effectively applied to nonlinear problems arising in the mathematical modeling of different phenomenon.

Suggested Citation

  • Ebrahem A. Algehyne & Essam R. El-Zahar & Muhammad Sohail & Umar Nazir & Hussein A. Z. AL-bonsrulah & Dhinakaran Veeman & Bassem F. Felemban & Fahad M. Alharbi, 2021. "Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface," Energies, MDPI, vol. 14(23), pages 1-14, December.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:23:p:8115-:d:694614
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    References listed on IDEAS

    as
    1. Sohail, Muhammad & Naz, Rahila, 2020. "Modified heat and mass transmission models in the magnetohydrodynamic flow of Sutterby nanofluid in stretching cylinder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    2. Hina, S. & Mustafa, M. & Hayat, T. & Alotaibi, Naif D., 2015. "On peristaltic motion of pseudoplastic fluid in a curved channel with heat/mass transfer and wall properties," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 378-391.
    3. Umar Nazir & Muhammad Sohail & Hussam Alrabaiah & Mahmoud M Selim & Phatiphat Thounthong & Choonkil Park, 2021. "Inclusion of hybrid nanoparticles in hyperbolic tangent material to explore thermal transportation via finite element approach engaging Cattaneo-Christov heat flux," PLOS ONE, Public Library of Science, vol. 16(8), pages 1-19, August.
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    Cited by:

    1. Basma Souayeh & Katta Ramesh, 2023. "Numerical Scrutinization of Ternary Nanofluid Flow over an Exponentially Stretching Sheet with Gyrotactic Microorganisms," Mathematics, MDPI, vol. 11(4), pages 1-26, February.
    2. Wenxiong Xi & Mengyao Xu & Kai Ma & Jian Liu, 2022. "Heat Transfer Enhancement Methods Applied in Energy Conversion, Storage and Propulsion Systems," Energies, MDPI, vol. 15(19), pages 1-3, October.

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