IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i15p2612-d872245.html
   My bibliography  Save this article

Numerical Study of the Flow and Thermomagnetic Convection Heat Transfer of a Power Law Non-Newtonian Ferrofluid within a Circular Cavity with a Permanent Magnet

Author

Listed:
  • Nidhal Ben Khedher

    (Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il 81451, Saudi Arabia
    Laboratory of Thermal and Energetic Systems Studies (LESTE), National School of Engineering of Monastir, University of Monastir, Monastir 5000, Tunisia)

  • Mohammad Shahabadi

    (School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, OK 73019, USA)

  • Abed Saif Alghawli

    (Computer Science Department, Prince Sattam Bin Abdulaziz University, AL-Aflaj 11912, Saudi Arabia)

  • Christopher Neil Hulme

    (Department of Materials Science and Engineering, KTH Royal Institute of Technology, Brinellvägen 23, SE-100 44 Stockholm, Sweden)

  • Seyed Abdollah Mansouri Mehryan

    (Young Researchers and Elite Club, Yasooj Branch, Islamic Azad University, Yasooj 7591493686, Iran)

Abstract

The aim of this study is to analyze the thermo-magnetic-gravitational convection of a non-Newtonian power law ferrofluid within a circular cavity. The ferrofluid is exposed to the magnetic field of a permanent magnet. The finite element method is employed to solve the non-dimensional controlling equations. A grid sensitivity analysis and the validation of the used method are conducted. The effect of alterable parameters, including the power law index, 0.7 ≤ n ≤ 1.3, gravitational Rayleigh number, 10 4 ≤ Ra T ≤ 10 6 , magnetic Rayleigh number, 10 5 ≤ Ra M ≤ 10 8 , the location of the hot and cold surfaces, 0 ≤ λ ≤ π/2, and the length of the magnet normalized with respect to the diameter of the cavity, 0.1 ≤ L ≤ 0.65, on the flow and heat transfer characteristics are explored. The results show that the heat transfer rate increases at the end of both arcs compared to the central region because of buoyancy effects, and it is greater close to the hot arc. The location of the arcs does not affect the heat transfer rate considerably. An increase in the magnetic Rayleigh number contributes to stronger circulation of the flow inside and higher heat transfer. When the Kelvin force is the only one imposed on the flow, it enhances the heat transfer for magnets of length 0.2 ≤ L ≤ 0.3.

Suggested Citation

  • Nidhal Ben Khedher & Mohammad Shahabadi & Abed Saif Alghawli & Christopher Neil Hulme & Seyed Abdollah Mansouri Mehryan, 2022. "Numerical Study of the Flow and Thermomagnetic Convection Heat Transfer of a Power Law Non-Newtonian Ferrofluid within a Circular Cavity with a Permanent Magnet," Mathematics, MDPI, vol. 10(15), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2612-:d:872245
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/15/2612/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/15/2612/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wu, Shenyi & Rincon Ortiz, Camilo, 2020. "Experimental investigation of the effect of magnetic field on vapour absorption with LiBr–H2O nanofluid," Energy, Elsevier, vol. 193(C).
    2. Nidhal Ben Khedher & Mikhail Sheremet & Abed Saif Alghawli & Abdullah Mohamed & Seyed Abdollah Mansouri Mehryan, 2022. "Effect of Non-Identical Magnetic Fields on Thermomagnetic Convective Flow of a Nanoliquid Using Buongiorno’s Model," Mathematics, MDPI, vol. 10(8), pages 1-19, April.
    Full references (including those not matched with items on IDEAS)

    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. Madruga, Santiago & Mendoza, Carolina, 2022. "Introducing a new concept for enhanced micro-energy harvesting of thermal fluctuations through the Marangoni effect," Applied Energy, Elsevier, vol. 306(PA).
    2. Atul Bhattad & Vinay Atgur & Boggarapu Nageswar Rao & N. R. Banapurmath & T. M. Yunus Khan & Chandramouli Vadlamudi & Sanjay Krishnappa & A. M. Sajjan & R. Prasanna Shankara & N. H. Ayachit, 2023. "Review on Mono and Hybrid Nanofluids: Preparation, Properties, Investigation, and Applications in IC Engines and Heat Transfer," Energies, MDPI, vol. 16(7), pages 1-40, March.
    3. Ji, Qiang & Wang, Yikai & Yin, Yonggao & Wang, Mu & Che, Chunwen & Cao, Bowen & Chen, Wanhe, 2023. "Cooling performance of compression-absorption cascade system with novel ternary ionic-liquid working pair," Energy, Elsevier, vol. 278(PB).
    4. Sehgal, Shitiz & Alvarado, Jorge L. & Hassan, Ibrahim G. & Kadam, Sambhaji T., 2021. "A comprehensive review of recent developments in falling-film, spray, bubble and microchannel absorbers for absorption systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 142(C).
    5. Niu, Xiaofeng & Ke, Qing & Wang, Zhaohua & Zhou, Junming & Dong, Honglin & Mahian, Omid, 2023. "Study on the regeneration process and overall performance of a microencapsulated phase change material slurry dehumidification system," Renewable Energy, Elsevier, vol. 216(C).
    6. Sylwia Wciślik, 2020. "Efficient Stabilization of Mono and Hybrid Nanofluids," Energies, MDPI, vol. 13(15), pages 1-26, July.

    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:15:p:2612-:d:872245. 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.