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Effects of Magnetic Fields, Coupled Stefan Blowing and Thermodiffusion on Ferrofluid Transport Phenomena

Author

Listed:
  • Rohana Abdul Hamid

    (Centre of Excellence for Social Innovation & Sustainability (CoESIS), Universiti Malaysia Perlis, Arau 02600, Malaysia
    Boundary Layer Research Group, Institute of Engineering Mathematics, Faculty of Applied and Human Sciences, Universiti Malaysia Perlis, Arau 02600, Malaysia)

  • Roslinda Nazar

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

  • Kohilavani Naganthran

    (Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia
    Center for Data Analytics, Consultancy and Services, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Ioan Pop

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

Abstract

The paramagnetic feature of ferrofluid allows it to be utilised in electronic devices and improvise fluid circulation in transformer windings. Hence, the present article aims to conduct the numerical study of ferrofluid boundary layer flow along with the Stefan blowing, velocity and thermal slip, and Soret effects within the stagnation region over a stretching/shrinking surface. The governing equations were solved numerically using the bvp4c function in the MATLAB computing package. Based on the results, a stronger magnetic field of ferrofluid was needed to identify the numerical solutions past the shrinking surface, while the Stefan blowing diminished the solution’s availability. More than one solution is acquired for some specific values of the shrinking parameter, and the stability analysis validated that only one solution is reliable and stable.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1646-:d:813783
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    References listed on IDEAS

    as
    1. Umair Khan & Iskandar Waini & Aurang Zaib & Anuar Ishak & Ioan Pop, 2022. "MHD Mixed Convection Hybrid Nanofluids Flow over a Permeable Moving Inclined Flat Plate in the Presence of Thermophoretic and Radiative Heat Flux Effects," Mathematics, MDPI, vol. 10(7), pages 1-21, April.
    2. Pal, Dulal & Mandal, Gopinath & Vajravalu, Kuppalapalle, 2016. "Soret and Dufour effects on MHD convective–radiative heat and mass transfer of nanofluids over a vertical non-linear stretching/shrinking sheet," Applied Mathematics and Computation, Elsevier, vol. 287, pages 184-200.
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    Cited by:

    1. Camelia Petrescu & Valeriu David, 2022. "Preface to the Special Issue on “Modelling and Simulation in Engineering”," Mathematics, MDPI, vol. 10(14), pages 1-3, July.
    2. 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.

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