IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i10p1658-d814160.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/10/1658/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/10/1658/
    Download Restriction: no
    ---><---

    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. 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).
    4. 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.
    5. 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).
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Mir Waqas Alam & Syed Ghazanfar Hussain & Basma Souayeh & Muhammad Shuaib Khan & Mohd Farhan, 2021. "Numerical Simulation of Homogeneous–Heterogeneous Reactions through a Hybrid Nanofluid Flowing over a Rotating Disc for Solar Heating Applications," Sustainability, MDPI, vol. 13(15), pages 1-16, July.
    3. Asad Ullah & Nahid Fatima & Khalid Abdulkhaliq M. Alharbi & Samia Elattar & Ikramullah & Waris Khan, 2023. "A Numerical Analysis of the Hybrid Nanofluid (Ag+TiO 2 +Water) Flow in the Presence of Heat and Radiation Fluxes," Energies, MDPI, vol. 16(3), pages 1-15, January.
    4. Muhammad Shoaib Arif & Wasfi Shatanawi & Yasir Nawaz, 2023. "Finite Element Study of Electrical MHD Williamson Nanofluid Flow under the Effects of Frictional Heating in the View of Viscous Dissipation," Energies, MDPI, vol. 16(6), pages 1-19, March.
    5. Li, Xiang & Yu, Peng & Niu, Xiao-Dong & Li, De-Cai & Yamaguchi, Hiroshi, 2021. "A magnetic field coupling lattice Boltzmann model and its application on the merging process of multiple-ferrofluid-droplet system," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    6. 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.
    7. Beom-Jin Kim & Jae-Hong Hwang & Byunghyun Kim, 2022. "FLOW-3D Model Development for the Analysis of the Flow Characteristics of Downstream Hydraulic Structures," Sustainability, MDPI, vol. 14(17), pages 1-17, August.
    8. Muhammad Shoaib Arif & Wasfi Shatanawi & Yasir Nawaz, 2023. "Modified Finite Element Study for Heat and Mass Transfer of Electrical MHD Non-Newtonian Boundary Layer Nanofluid Flow," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    9. Saddam Sultan Akbar & Meraj Mustafa, 2022. "Application of Exponential Temperature Dependent Viscosity Model for Fluid Flow over a Moving or Stationary Slender Surface," Mathematics, MDPI, vol. 10(18), pages 1-13, September.
    10. Jiawei Tang & Patrick Luk, 2022. "Wearable Bio-Inspired Pulsating-Flow Cooling for Live Garments Based on a Novel Design of Ferrofluid Micro-Valve," Energies, MDPI, vol. 15(23), pages 1-18, November.
    11. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1658-:d:814160. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.