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MHD Mixed Convection of Hybrid Ferrofluid Flow over an Exponentially Stretching/Shrinking Surface with Heat Source/Sink and Velocity Slip

Author

Listed:
  • Syafiq Zainodin

    (Department of Mathematics, Universiti Pertahanan Nasional Malaysia, Kuala Lumpur 57000, Malaysia)

  • Anuar Jamaludin

    (Department of Mathematics, Universiti Pertahanan Nasional Malaysia, Kuala Lumpur 57000, Malaysia)

  • Roslinda Nazar

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

  • Ioan Pop

    (Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania)

Abstract

This paper investigates the mixed convection flow related to Fe 3 O 4 - CoFe 2 O 4 / water hybrid ferrofluids on stagnation point over an exponentially stretching/shrinking surface with the influence of magnetohydrodynamic (MHD), velocity slip, and heat source/sink. The proposed system of differential equations is reduced using the similarity transformation procedure that is numerically solvable using MATLAB. Dual solutions are obtained for various governing parameters, in which the first solution is found to be in a stable state via the stability analysis. The CoFe 2 O 4 nanoparticles volume fraction increases the heat transfer rate and the skin friction coefficient while delaying the separation of the boundary layer at the bifurcation point. Adding CoFe 2 O 4 nanoparticles in hybrid ferrofluids gives a better heat transfer rate than that obtained with ferrofluids. The presence of a magnetic field enhances the fluid flow velocity. The increased strengths of the heat sink and stretching parameters give better results on the heat transfer, while the results are reversed for the heat source and shrinking parameters. The presence of velocity slip does influence the skin friction and the fluid flow.

Suggested Citation

  • Syafiq Zainodin & Anuar Jamaludin & Roslinda Nazar & Ioan Pop, 2022. "MHD Mixed Convection of Hybrid Ferrofluid Flow over an Exponentially Stretching/Shrinking Surface with Heat Source/Sink and Velocity Slip," Mathematics, MDPI, vol. 10(23), pages 1-20, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4400-:d:980298
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    References listed on IDEAS

    as
    1. Nur Syazana Anuar & Norfifah Bachok & Ioan Pop, 2021. "Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region," Mathematics, MDPI, vol. 9(22), pages 1-14, November.
    2. Ebrahimi, Amin & Rikhtegar, Farhad & Sabaghan, Amin & Roohi, Ehsan, 2016. "Heat transfer and entropy generation in a microchannel with longitudinal vortex generators using nanofluids," Energy, Elsevier, vol. 101(C), pages 190-201.
    3. Abdul Quayam Khan & Amer Rasheed, 2019. "Mixed Convection Magnetohydrodynamics Flow of a Nanofluid with Heat Transfer: A Numerical Study," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-14, January.
    4. Rohana Abdul Hamid & Roslinda Nazar & Kohilavani Naganthran & Ioan Pop, 2022. "Effects of Magnetic Fields, Coupled Stefan Blowing and Thermodiffusion on Ferrofluid Transport Phenomena," Mathematics, MDPI, vol. 10(10), pages 1-17, May.
    5. Shahirah Abu Bakar & Norihan Md Arifin & Najiyah Safwa Khashi’ie & Norfifah Bachok, 2021. "Hybrid Nanofluid Flow over a Permeable Shrinking Sheet Embedded in a Porous Medium with Radiation and Slip Impacts," Mathematics, MDPI, vol. 9(8), pages 1-14, April.
    6. Mehrez, Zouhaier & Cafsi, Afif El, 2021. "Heat exchange enhancement of ferrofluid flow into rectangular channel in the presence of a magnetic field," Applied Mathematics and Computation, Elsevier, vol. 391(C).
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