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Unsteady Magnetohydrodynamics (MHD) Flow of Hybrid Ferrofluid Due to a Rotating Disk

Author

Listed:
  • Iskandar Waini

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

  • Najiyah Safwa Khashi’ie

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

  • Abdul Rahman Mohd Kasim

    (Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, Gambang 26300, Pahang, Malaysia)

  • Nurul Amira Zainal

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

  • Khairum Bin Hamzah

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

  • Norihan Md Arifin

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

  • Ioan Pop

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

Abstract

The flow of fluids over the boundaries of a rotating disc has many practical uses, including boundary-layer control and separation. Therefore, the aim of this study is to discuss the impact of unsteady magnetohydrodynamics (MHD) hybrid ferrofluid flow over a stretching/shrinking rotating disk. The time-dependent mathematical model is transformed into a set of ordinary differential equations (ODE’s) by using similarity variables. The bvp4c method in the MATLAB platform is utilised in order to solve the present model. Since the occurrence of more than one solution is presentable, an analysis of solution stabilities is conducted. Both solutions were surprisingly found to be stable. Meanwhile, the skin friction coefficient, heat transfer rate—in cooperation with velocity—and temperature profile distributions are examined for the progressing parameters. The findings reveal that the unsteadiness parameter causes the boundary layer thickness of the velocity and temperature distribution profile to decrease. A higher value of magnetic and mass flux parameter lowers the skin friction coefficient. In contrast, the addition of the unsteadiness parameter yields a supportive effect on the heat transfer rate. An increment of the magnetic parameter up to 30% reduces the skin friction coefficient by 15.98% and enhances the heat transfer rate approximately up to 1.88%, significantly. In contrast, the heat transfer is rapidly enhanced by improving the mass flux parameter by almost 20%.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1658-:d:814160
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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. Wendong Wang & Jaakko V. I. Timonen & Andreas Carlson & Dirk-Michael Drotlef & Cathy T. Zhang & Stefan Kolle & Alison Grinthal & Tak-Sing Wong & Benjamin Hatton & Sung Hoon Kang & Stephen Kennedy & Jo, 2018. "Multifunctional ferrofluid-infused surfaces with reconfigurable multiscale topography," Nature, Nature, vol. 559(7712), pages 77-82, July.
    3. 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).
    4. Naganthran, Kohilavani & Mustafa, Meraj & Mushtaq, Ammar & Nazar, Roslinda, 2020. "Dual solutions for fluid flow over a stretching/shrinking rotating disk subject to variable fluid properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    5. Khalil M. Khalil & A. Soleiman & Ahmed M. Megahed & W. Abbas, 2022. "Impact of Variable Fluid Properties and Double Diffusive Cattaneo–Christov Model on Dissipative Non-Newtonian Fluid Flow Due to a Stretching Sheet," Mathematics, MDPI, vol. 10(7), pages 1-12, April.
    6. Doaa Rizk & Asad Ullah & Ikramullah & Samia Elattar & Khalid Abdulkhaliq M. Alharbi & Mohammad Sohail & Rajwali Khan & Alamzeb Khan & Nabil Mlaiki, 2022. "Impact of the KKL Correlation Model on the Activation of Thermal Energy for the Hybrid Nanofluid (GO+ZnO+Water) Flow through Permeable Vertically Rotating Surface," Energies, MDPI, vol. 15(8), pages 1-16, April.
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    Cited by:

    1. Ishtiaq Ali & Taza Gul & Arshad Khan, 2023. "Unsteady Hydromagnetic Flow over an Inclined Rotating Disk through Neural Networking Approach," Mathematics, MDPI, vol. 11(8), pages 1-16, April.
    2. Nurul Amira Zainal & Roslinda Nazar & Kohilavani Naganthran & Ioan Pop, 2022. "Magnetic Impact on the Unsteady Separated Stagnation-Point Flow of Hybrid Nanofluid with Viscous Dissipation and Joule Heating," Mathematics, MDPI, vol. 10(13), pages 1-17, July.

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