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Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region

Author

Listed:
  • Nur Syazana Anuar

    (Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam 40450, Selangor, Malaysia)

  • Norfifah Bachok

    (Department of Mathematics & Statistics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia
    Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia)

  • Ioan Pop

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

Abstract

The numerical investigations of hybrid ferrofluid flow with magnetohydrodynamic (MHD) and heat source/sink effects are examined in this research. The sheet is assumed to stretch or shrink exponentially near the stagnation region. Two dissimilar magnetic nanoparticles, namely cobalt ferrite, CoFe 2 O 4 and magnetite, Fe 3 O 4 , are considered with water as a based fluid. Utilizing the suitable similarity transformation, the governing equations are reduced to an ordinary differential equation (ODE). The converted ODEs are numerically solved with the aid of bvp4c solver from Matlab. The influences of varied parameters on velocity profile, skin friction coefficient, temperature profile and local Nusselt number are demonstrated graphically. The analysis evident the occurrence of non-unique solution for a shrinking sheet and it is confirmed from the analysis of stability that only the first solution is the stable solution. It is also found that for a stronger heat source, heat absorption is likely to happen at the sheet. Further, hybrid ferrofluid intensifies the heat transfer rate compared to ferrofluid. Moreover, the boundary layer separation is bound to happen faster with an increment of magnetic parameter, while it delays when CoFe 2 O 4 nanoparticle volume fraction increases.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2932-:d:681332
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    References listed on IDEAS

    as
    1. 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).
    2. Kumar, Dileep & Singh, A.K. & Kumar, Devendra, 2020. "Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    3. Mustafa, Irfan & Abbas, Zaheer & Arif, Ayesha & Javed, Tariq & Ghaffari, Abuzar, 2020. "Stability analysis for multiple solutions of boundary layer flow towards a shrinking sheet: Analytical solution by using least square method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
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    Cited by:

    1. 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.
    2. Iskandar Waini & Najiyah Safwa Khashi’ie & Abdul Rahman Mohd Kasim & Nurul Amira Zainal & Khairum Bin Hamzah & Norihan Md Arifin & Ioan Pop, 2022. "Unsteady Magnetohydrodynamics (MHD) Flow of Hybrid Ferrofluid Due to a Rotating Disk," Mathematics, MDPI, vol. 10(10), pages 1-20, May.
    3. Araceli Queiruga-Dios & María Jesus Santos Sánchez & Fatih Yilmaz & Deolinda M. L. Dias Rasteiro & Jesús Martín-Vaquero & Víctor Gayoso Martínez, 2022. "Mathematics and Its Applications in Science and Engineering," Mathematics, MDPI, vol. 10(19), pages 1-2, September.

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