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Effect of Buoyancy Force on an Unsteady Thin Film Flow of Al 2 O 3 /Water Nanofluid over an Inclined Stretching Sheet

Author

Listed:
  • Sumayyah Alabdulhadi

    (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia
    Department of Mathematics, Faculty of Science, Qassim University, Buraydah 52571, Saudi Arabia)

  • Sakhinah Abu Bakar

    (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia)

  • Anuar Ishak

    (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia)

  • Iskandar Waini

    (Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia)

  • Sameh E. Ahmed

    (Department of Mathematics, Faculty of Science, King Khalid University, Abha 62529, Saudi Arabia
    Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt)

Abstract

The present study looks at the heat transfer and the unsteady thin film flow of Al 2 O 3 water nanofluid past an inclined stretching sheet having a buoyancy force effect. The boundary value problem solver (bvp4c) package in Matlab is utilized in solving the converted set of ordinary differential equations (ODEs). The multi-shape Al 2 O 3 nanoparticles’ impact with respect to the flow as well as heat transfer characteristics are studied and visually displayed for certain governing parameter values, which include the mixed convection, inclination angle, magnetic, slip, and Biot number. Thus, the skin friction coefficient and the local Nusselt number are also determined. Here, the platelet shape of Al 2 O 3 nanoparticles possesses a high heat transfer and flow rate based on the outcomes. In addition, increasing the slip and magnetic parameters improves the temperature, whereas increasing the buoyancy and inclination angle parameters has reverse effects. The results also show that increasing the unsteadiness parameter and the magnetic parameter reduces the film thickness.

Suggested Citation

  • Sumayyah Alabdulhadi & Sakhinah Abu Bakar & Anuar Ishak & Iskandar Waini & Sameh E. Ahmed, 2023. "Effect of Buoyancy Force on an Unsteady Thin Film Flow of Al 2 O 3 /Water Nanofluid over an Inclined Stretching Sheet," Mathematics, MDPI, vol. 11(3), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:739-:d:1053830
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    References listed on IDEAS

    as
    1. Hazarika, Silpi & Ahmed, Sahin & Chamkha, Ali J., 2021. "Investigation of nanoparticles Cu, Ag and Fe3O4 on thermophoresis and viscous dissipation of MHD nanofluid over a stretching sheet in a porous regime: A numerical modeling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 819-837.
    2. Kohilavani Naganthran & Ishak Hashim & Roslinda Nazar, 2020. "Triple Solutions of Carreau Thin Film Flow with Thermocapillarity and Injection on an Unsteady Stretching Sheet," Energies, MDPI, vol. 13(12), pages 1-17, June.
    3. Sumayyah Alabdulhadi & Iskandar Waini & Sameh E. Ahmed & Anuar Ishak, 2021. "Hybrid Nanofluid Flow and Heat Transfer Past an Inclined Surface," Mathematics, MDPI, vol. 9(24), pages 1-14, December.
    4. Kohilavani Naganthran & Roslinda Nazar & Zailan Siri & Ishak Hashim, 2021. "Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow," Mathematics, MDPI, vol. 9(23), pages 1-19, November.
    5. Rajesh Sharma & Anuar Ishak & Ioan Pop, 2013. "Partial Slip Flow and Heat Transfer over a Stretching Sheet in a Nanofluid," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, April.
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