Research Papers: Forced Convection

Effect of Local Magnetic Fields on Electrically Conducting Fluid Flow and Heat Transfer

[+] Author and Article Information
Hulin Huang

e-mail: hlhuang@nuaa.edu.cn
Academy of Frontier Science,
Nanjing University of Aeronautics
and Astronautics, Nanjing, 210016, PRC

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received November 1, 2011; final manuscript received July 2, 2012; published online December 28, 2012. Assoc. Editor: Sujoy Kumar Saha.

J. Heat Transfer 135(2), 021702 (Dec 28, 2012) (8 pages) Paper No: HT-11-1492; doi: 10.1115/1.4007413 History: Received November 01, 2011; Revised July 02, 2012

The prediction of electrically conducting fluid past a localized zone of applied magnetic field is the key for many practical applications. In this paper, the characteristics of flow and heat transfer (HI) for a liquid metal in a rectangular duct under a local magnetic field are investigated numerically using a three-dimensional model and the impact of some parameters, such as constrainment factor, κ, interaction parameter, N, and Reynolds number, Re, is also discussed. It is found that, in the range of Reynolds number 100 ≤ Re ≤ 900, the flow structures can be classified into the following four typical categories: no vortices, one pair of magnetic vortices, three pairs of vortices and vortex shedding. The simulation results indicate that the local heterogeneous magnetic field can enhance the wall-heat transfer and the maximum value of the overall increment of HI is about 13.6%. Moreover, the pressure drop penalty (ΔPpenalty) does not increasingly depend on the N for constant κ and Re. Thus, the high overall increment of HI can be obtained when the vortex shedding occurs.

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Fig. 1

Structure of the wake of a solid (a) and magnetic obstacles (b)

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Fig. 2

Schematic representation of the system under investigation

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Fig. 3

Comparison of the streamwise velocity along the centreline (z = 0, y = 0). Case I—Re = 100, N = 4; Case II—Re = 100, N = 11.25; and Case III—Re= 400, N = 11.25. Dashed vertical lines indicate borders of the magnetic obstacle.

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Fig. 4

Streamwise (ux) and spanwise (uy) velocities along the spanwise cuts in z = 0 plane for N = 9 and Re = 100. (a) and (b) x = −3, (c) and (d) x = 0.4, (e) and (f) x = 3.

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Fig. 5

Local Nu/Nu0 distribution under different κ (a) and N (b) at Re = 100

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Fig. 6

Local fc/fc0 distribution under different κ (a) and N (b) at Re = 100

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Fig. 7

Overall increment of the heat transfer and pressure drop penalty vary with κ (a) and N (b) at Re = 100

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Fig. 8

The instantaneous velocity ux (a) and uy (b) along the centreline (y = z = 0) vary with Re at N = 9 and κ = 0.2

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Fig. 9

Mass flow streamlines on z = 0 plane at N = 9 and κ = 0.2, (a) Re = 100 and (b) Re = 400

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Fig. 10

Instantaneous mass flow streamlines on z = 0 plane at N = 9, Re = 900 and κ = 0.2. (a) t = 2643.84, (b) t = 2646.9, (c) t = 2649.96, and (d) t = 2653.02.

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Fig. 11

Time traces (a) and the power spectral density function (b) of the uy at monitoring point P

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Fig. 12

Local Nu/Nu0 distribution over the heated wall at N = 9 and κ = 0.2. (a) Different Re, (b) Re = 900.

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Fig. 13

Instantaneous temperature contours on z = 0 plane at N = 9, Re = 900, and κ = 0.2. Light and gray shading shows hot and cold fluid, respectively.

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Fig. 14

Overall increment of the heat transfer and pressure drop penalty vary with Re




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