Effects of a magnetic quadrupole field on thermomagnetic convection of air in a porous square enclosure

Jiang, Changwei; Feng, Wei; Zhong, Hui; Zeng, Junyong; Zhu, Qunzhi

doi:10.1016/j.jmmm.2014.01.027

Cited by 15 publications

(7 citation statements)

References 29 publications

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“…A similar value for φ was considered by Ilis et al [34]. Integrating Equation (25), the total entropy generation (S total ) over the domain Ω can be defined as:…”

Section: Entropy Generation Calculationmentioning

confidence: 97%

“…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%

“…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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“…A similar value for φ was considered by Ilis et al [34]. Integrating Equation (25), the total entropy generation (S total ) over the domain Ω can be defined as:…”

Section: Entropy Generation Calculationmentioning

confidence: 97%

Section: Numerical Procedures and Code Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Self Cite

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“…6(a) and (b) that increase of magnetic and electrical field intensity boosts the average value and rate of change of surface heat flux. Obtained results were given in [9,10,12,15,17].…”

Section: (A) and (B)mentioning

confidence: 99%

“…It is seen that temperature distribution increases by the increase of Hartman number [8]. Jiang et al argued that the heat transfer rate in the porous enclosure increases with the increase of the magnetic force [9]. Mabood and Khan noticed that with the increasing values of magnetic parameter, the rate of heat transfer significantly increases for each constant value of Prandtl number [10].…”

Section: Introductionmentioning

confidence: 99%