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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
Univ Hail, Coll Engn, Dept Mech Engn, Hail 81451, Saudi Arabia.;Univ Monastir, Natl Sch Engn Monastir, Lab Thermal & Energet Syst Studies LESTE, Monastir 5000, Tunisia..ORCID iD: 0000-0003-1274-6443
Univ Oklahoma, Sch Aerosp & Mech Engn, Norman, OK 73019 USA..
Prince Sattam Bin Abdulaziz Univ, Comp Sci Dept, Al Aflaj 11912, Saudi Arabia..
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Process.ORCID iD: 0000-0002-6339-4612
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2022 (English)In: Mathematics, E-ISSN 2227-7390, Vol. 10, no 15, article id 2612Article in journal (Refereed) Published
Abstract [en]

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 <= lambda <= pi/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.

Place, publisher, year, edition, pages
MDPI AG , 2022. Vol. 10, no 15, article id 2612
Keywords [en]
non-Newtonian ferrofluid, permanent magnet, thermomagnetic convection, magnetization
National Category
Other Physics Topics Neurosciences Accelerator Physics and Instrumentation
Identifiers
URN: urn:nbn:se:kth:diva-316738DOI: 10.3390/math10152612ISI: 000839933600001Scopus ID: 2-s2.0-85136814702OAI: oai:DiVA.org:kth-316738DiVA, id: diva2:1691366
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QC 20220830

Available from: 2022-08-30 Created: 2022-08-30 Last updated: 2023-06-07Bibliographically approved

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Hulme-Smith, Christopher

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