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Implicit Finite Difference Simulation of Prandtl-Eyring Nanofluid over a Flat Plate with Variable Thermal Conductivity: A Tiwari and Das Model

Author

Listed:
  • Nidal H. Abu-Hamdeh

    (Center of Research Excellence in Renewable Energy and Power Systems, and Department of Mechanical Engineering, Faculty of Engineering, K. A. CARE Energy Research and Innovation Center, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Abdulmalik A. Aljinaidi

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 21511, Saudi Arabia)

  • Mohamed A. Eltaher

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 21511, Saudi Arabia)

  • Khalid H. Almitani

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 21511, Saudi Arabia)

  • Khaled A. Alnefaie

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 21511, Saudi Arabia)

  • Abdullah M. Abusorrah

    (Center of Research Excellence in Renewable Energy and Power Systems, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Mohammad Reza Safaei

    (Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY 13699-5725, USA
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

The current article presents the entropy formation and heat transfer of the steady Prandtl-Eyring nanofluids (P-ENF). Heat transfer and flow of P-ENF are analyzed when nanofluid is passed to the hot and slippery surface. The study also investigates the effects of radiative heat flux, variable thermal conductivity, the material’s porosity, and the morphologies of nano-solid particles. Flow equations are defined utilizing partial differential equations (PDEs). Necessary transformations are employed to convert the formulae into ordinary differential equations. The implicit finite difference method (I-FDM) is used to find approximate solutions to ordinary differential equations. Two types of nano-solid particles, aluminium oxide (Al 2 O 3 ) and copper (Cu), are examined using engine oil (EO) as working fluid. Graphical plots are used to depict the crucial outcomes regarding drag force, entropy measurement, temperature, Nusselt number, and flow. According to the study, there is a solid and aggressive increase in the heat transfer rate of P-ENF Cu-EO than Al 2 O 3 -EO. An increment in the size of nanoparticles resulted in enhancing the entropy of the model. The Prandtl-Eyring parameter and modified radiative flow show the same impact on the radiative field.

Suggested Citation

  • Nidal H. Abu-Hamdeh & Abdulmalik A. Aljinaidi & Mohamed A. Eltaher & Khalid H. Almitani & Khaled A. Alnefaie & Abdullah M. Abusorrah & Mohammad Reza Safaei, 2021. "Implicit Finite Difference Simulation of Prandtl-Eyring Nanofluid over a Flat Plate with Variable Thermal Conductivity: A Tiwari and Das Model," Mathematics, MDPI, vol. 9(24), pages 1-20, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3153-:d:697151
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    References listed on IDEAS

    as
    1. Iqbal, Z. & Azhar, Ehtsham & Maraj, E.N., 2021. "Performance of nano-powders SiO2 and SiC in the flow of engine oil over a rotating disk influenced by thermal jump conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
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