Numerical simulation of thermomagnetic convection of air in a porous square enclosure under a magnetic quadrupole field using LTNE models

Jiang, Changwei; Shi, Er; Hu, Zhangmao; Zhu, Xun; Xie, Nan

doi:10.1016/j.ijheatmasstransfer.2015.07.103

Cited by 19 publications

(7 citation statements)

References 44 publications

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“…The distributions of Nu h on the hot wall and Nu c on the cold wall for different grid systems are presented in Figure 3. As the magnetic field was non-uniform, the distribution of Nu h on the hot wall was quite different from Nu c on the cold wall, which was also quite different from the distributions of Nu h and Nu c under a gravity field, as reported in Reference [13]. The results of local Nu on both hot and cold walls are nearly the same for the three different grid systems studied.…”

Section: Grid Dependence and Validationmentioning

confidence: 52%

“…They observed that thermomagnetic convection in ferrofluid occurs earlier than natural convection in non-magnetic fluids for similar experimental conditions, and that the onset of thermomagnetic convection was dependent on the current supplied to the wire. Jiang et al [13] numerically investigated the effect of permanent magnetic quadrupole fields on the thermomagnetic convection of air in a porous square enclosure in the presence or absence of a gravity field. Two cellular structures with horizontal symmetry about the middle plane of the enclosure were observed.…”

Section: Introductionmentioning

confidence: 99%

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Thermomagnetic Convection of Paramagnetic Gas in an Enclosure under No Gravity Condition

Song

Tagawa

et al. 2019

Fluids

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The thermomagnetic convection of paramagnetic gaseous oxygen in an enclosure under a magnetic field was numerically studied to simulate the thermomagnetic convection in a space environment with no gravity. The magnetic field in the enclosure was non-uniform and was generated by a permanent magnet which had a high magnetic energy product. The magnet was placed at different locations along one of the adiabatic walls with magnetic poles perpendicular to the hot and cold walls of the enclosure. The heat transfer performance, flow field, and temperature field were studied with each location of the magnet. The results show that the thermomagnetic convection in the enclosure was obviously affected by the location of the magnet. There was an optimum magnet location in terms of the best heat transfer performance in the enclosure. The optimum magnet location changed slightly and moved toward the hot wall as the magnetic flux density increased. The value of the Nusselt number, defined as the ratio of convection to conduction, reached up to 2.54 in the studied range of parameters. By optimizing the magnet location, the convection was enhanced by up to 77% at the optimum magnet location.

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Section: Grid Dependence and Validationmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 99%

Thermomagnetic Convection of Paramagnetic Gas in an Enclosure under No Gravity Condition

Song

Tagawa

et al. 2019

Fluids

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“…The finite-volume method (FVM) and the SIMPLE (semi-implicit method for pressure-linked equations) algorithm developed in our previous work [19,34] are adopted to the governing Equations (14)- (17).…”

Section: Numerical Procedures and Code Verificationmentioning

confidence: 99%

“…They found that the thermomagnetic convection was enhanced or suppressed by an outward radial magnetic field. Jiang et al [19] used the local thermal non-equilibrium models to solve the thermomagnetic convection problem of air in a porous square enclosure under a magnetic quadrupole field. Bednarz et al [8,20,21] analyzed the effect of the Rayleigh number, inclined angle, and the location of the electric coil on heat transfer of the paramagnetic fluid.…”

Section: Introductionmentioning

confidence: 99%

“…The numerical results in a porous square enclosure showed the magnetic field intensity and Rayleigh number, as well as the Darcy number, have a significant influence on flow field and heat transfer [19,34]. Except for the flow and heat transfer characteristics, efficient utilization of energy is also considered as one of the main concerns in thermal engineering applications.…”

Section: Introductionmentioning

confidence: 99%

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Effect of a Magnetic Quadrupole Field on Entropy Generation in Thermomagnetic Convection of Paramagnetic Fluid with and without a Gravitational Field

Shi

Sun

et al. 2017

Entropy

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Entropy generation for a paramagnetic fluid in a square enclosure with thermomagnetic convection is numerically investigated under the influence of a magnetic quadrupole field. The magnetic field is calculated using the scalar magnetic potential approach. The finite-volume method is applied to solve the coupled equation for flow, energy, and entropy generation. Simulations are conducted to obtain streamlines, isotherms, Nusselt numbers, entropy generation, and the Bejan number for various magnetic forces (1 ≤ γ ≤ 100) and Rayleigh numbers (10 4 ≤ Ra ≤ 10 6 ). In the absence of gravity, the total entropy generation increases with the increasing magnetic field number, but the average Bejan number decreases. In the gravitational field, the total entropy generation respects the insensitive trend to the change of the magnetic force for low Rayleigh numbers, while it changes significantly for high Rayleigh numbers. When the magnetic field enhances, the share of viscous dissipation in energy losses keeps growing.

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Internal Natural Convection: Heating from the Side

Nield¹,

Bejan²

2017

Convection in Porous Media

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Numerical simulation of thermomagnetic convection of air in a porous square enclosure under a magnetic quadrupole field using LTNE models

Cited by 19 publications

References 44 publications

Thermomagnetic Convection of Paramagnetic Gas in an Enclosure under No Gravity Condition

Thermomagnetic Convection of Paramagnetic Gas in an Enclosure under No Gravity Condition

Effect of a Magnetic Quadrupole Field on Entropy Generation in Thermomagnetic Convection of Paramagnetic Fluid with and without a Gravitational Field

Internal Natural Convection: Heating from the Side

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