Effect of axisymmetric magnetic field strength on heat transfer from a current-carrying micro-wire in ferrofluid

Kumar, Vinay; Casel, Mario; Dau, Van Thanh; Woodfield, Peter

doi:10.1016/j.ijthermalsci.2021.106976

Cited by 6 publications

(2 citation statements)

References 47 publications

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“…The components of the magnetic field in dimensionless coordinates are given in the X-direction by Equation ( 9) and in the Y-direction by Equation (10), where L = l/d in both cases. The dimensionless form of the magnetic field properties is given by the expressions in Equation (11), where ε is the temperature number of the fluid defined in Equation (8) and N is the number of magnetic dipoles per unit volume.…”

Section: ∂U ∂Xmentioning

confidence: 99%

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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

et al. 2022

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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, 104 ≤ RaT ≤ 106, magnetic Rayleigh number, 105 ≤ RaM ≤ 108, 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.

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Section: ∂U ∂Xmentioning

confidence: 99%

“…Combined natural and thermomagnetic convection in cavities, on the other hand, has gained a lot of attention from researchers because of the many potential applications, making it advantageous compared to natural convection alone [8][9][10].…”

Section: Introductionmentioning

confidence: 99%