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A Magnetite–Water-Based Nanofluid Three-Dimensional Thin Film Flow on an Inclined Rotating Surface with Non-Linear Thermal Radiations and Couple Stress Effects

Author

Listed:
  • Asad Ullah

    (Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Pakistan)

  • Ikramullah

    (Department of Physics, Kohat University of Science & Technology, Kohat 26000, Pakistan)

  • Mahmoud M. Selim

    (Department of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam bin Abdulaziz University, Al-Aflaj 710-11912, Saudi Arabia
    Department of Mathematics, Suez Faculty of Science, Suez University, Suez 34891, Egypt)

  • Thabet Abdeljawad

    (Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan
    Department of Computer Science and Information Engineering, Asia University, Taichung 41354, Taiwan)

  • Muhammad Ayaz

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Nabil Mlaiki

    (Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia)

  • Abdul Ghafoor

    (Institute of Numerical Sciences, Kohat University of Science & Technology, Kohat 26000, Pakistan)

Abstract

This study is related to the heat energy transfer during 3 D nanofluid (water-based) motion over a rotating surface by incorporating the combined impacts of thermal radiations and couple stress. The flow is modeled by a set of non-linear coupled PDEs, which is converted to a set of coupled non-linear ODEs by using suitable similarity transformations. The transformed equations are solved with the built-in NDSolve command. The effects of relevant interesting parameters on the nanofluid velocity components and temperature distribution are explained through various graphs. It is found that the velocity component f ( η ) is increased with higher values of γ and A 0 while it drops with an increasing rotation parameter and nanoparticle volume fraction. The fluid temperature increases with higher α n f , R d , ϵ 2 , ϵ 3 , A 1 and drops with increasing P r , ϵ 1 and couple stress parameter ( A 0 ) . The Nusselt number remains constant at a fixed P r and R d , whereas it increases with increasing P r and is reduced with rising R d . A comparison between the achieved results is carried out with the analytical results through different tables. An excellent agreement is observed between these results.

Suggested Citation

  • Asad Ullah & Ikramullah & Mahmoud M. Selim & Thabet Abdeljawad & Muhammad Ayaz & Nabil Mlaiki & Abdul Ghafoor, 2021. "A Magnetite–Water-Based Nanofluid Three-Dimensional Thin Film Flow on an Inclined Rotating Surface with Non-Linear Thermal Radiations and Couple Stress Effects," Energies, MDPI, vol. 14(17), pages 1-19, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:17:p:5531-:d:629152
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    References listed on IDEAS

    as
    1. Tasawar Hayat & Arsalan Aziz & Taseer Muhammad & Bashir Ahmad, 2015. "Influence of Magnetic Field in Three-Dimensional Flow of Couple Stress Nanofluid over a Nonlinearly Stretching Surface with Convective Condition," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-18, December.
    2. Muhammad Ramzan, 2015. "Influence of Newtonian Heating on Three Dimensional MHD Flow of Couple Stress Nanofluid with Viscous Dissipation and Joule Heating," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-24, April.
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    Cited by:

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    2. Beom-Jin Kim & Jae-Hong Hwang & Byunghyun Kim, 2022. "FLOW-3D Model Development for the Analysis of the Flow Characteristics of Downstream Hydraulic Structures," Sustainability, MDPI, vol. 14(17), pages 1-17, August.

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