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Entropy 2017, 19(3), 96; doi:10.3390/e19030096

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

1,2
,
1,2
,
1,2
and
1,2,*
1
School of Energy and Power Engineering, Changsha University of Science and Technology, Changsha 410114, China
2
Key Laboratory of Renewable Energy Eletric-Technology of Hunan Province, Changsha 410114, China
*
Author to whom correspondence should be addressed.
Academic Editor: Eliodoro Chiavazzo
Received: 2 January 2017 / Revised: 26 February 2017 / Accepted: 28 February 2017 / Published: 3 March 2017
(This article belongs to the Section Thermodynamics)
View Full-Text   |   Download PDF [5150 KB, uploaded 3 March 2017]   |  

Abstract

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 (104Ra ≤ 106). 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. View Full-Text
Keywords: entropy generation; thermomagnetic convection; heat transfer; numerical simulation; magnetic quadrupole field entropy generation; thermomagnetic convection; heat transfer; numerical simulation; magnetic quadrupole field
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Shi, E.; Sun, X.; He, Y.; Jiang, C. Effect of a Magnetic Quadrupole Field on Entropy Generation in Thermomagnetic Convection of Paramagnetic Fluid with and without a Gravitational Field. Entropy 2017, 19, 96.

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