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Research Papers

Constructal Theory Based Geometric Optimization of Wavy Channels in the Low Reynolds Number Regime

[+] Author and Article Information
Gongnan Xie

School of Mechanical Engineering,
Northwestern Polytechnical University,
Xi'an, Shaanxi, China
e-mail: xgn@nwpu.edu.cn

Masoud Asadi

Department of Mechanical Engineering,
Azad Islamic University Science
and Research Branch,
Tehran, Iran

Bengt Sunden

Division of Heat Transfer,
Department of Energy Sciences,
Lund University,
P.O. Box 118,
Lund SE-22100, Sweden
e-mail: bengt.sunden@energy.lth.se

Shaofei Zheng

School of Mechanical Engineering,
Northwestern Polytechnical University,
Xi'an, Shaanxi, China

1Corresponding author.

Contributed by the Electronic and Photonic Packaging Division of ASME for publication in the JOURNAL OF ELECTRONIC PACKAGING. Manuscript received December 23, 2013; final manuscript received May 15, 2014; published online June 10, 2014. Assoc. Editor: Mehmet Arik.

J. Electron. Packag 136(3), 031013 (Jun 10, 2014) (8 pages) Paper No: EP-13-1138; doi: 10.1115/1.4027728 History: Received December 23, 2013; Revised May 15, 2014

To obtain better fluid mixing and higher heat transfer in the low Reynolds number regime, various wavy fins are employed in heat sinks (heat exchangers) for electronic cooling applications. However, it was reported in previous works that in the low Reynolds number regime there are no remarkable differences in the thermal performance of a straight-plate and a wavy-wall channel. In this study, the constructal theory is applied to optimize the geometry of wavy-wall channels of an electronic heat sink, where the objective is to minimize the global thermal resistance. The domain has three degrees of freedom: The interplate-spacing (S), the wavelength ratio (λ1/λ2), and the amplitude ratio (a1/a2). The two times minimized global thermal resistance indicates that the thermal–hydraulic performance of the wavy channels is unaffected by the amplitude ratio, while the wavelength ratio and interplate separation have strong impacts on the overall performance. In addition, the thermal performances at four Reynolds numbers are evaluated, and it is found that the constructal-wavy channels can exhibit much better thermal performance in the low Reynolds number regime.

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Figures

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Fig. 1

Schematics of wavy-fin heat exchanger and single wavy channel. (a) Structure of wavy-fin heat exchanger; (b) 2D single wavy channel; and (c) mesh schematic.

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Fig. 2

Optimization of the global thermal resistance as function of the amplitude ratio (a1/a2) for several values of the wall-to-wall spacing (S)

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Fig. 3

The behavior of the minimized global thermal resistance as function of the wall-to-wall spacing (S) for several values of the wavelength ratio (λ1/λ2)

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Fig. 4

The behavior of local Nusselt number for down wall for various ratio of the wavelength (λ1/λ2)

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Fig. 5

The behavior of local Nusselt number for upper wall for various ratio of the wavelength (λ1/λ2)

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Fig. 6

Streamlines inside wavy channels at various wavelength ratios (λ1/λ2) and wall-to-wall spacing (S) for the amplitude ratio (λ1/λ2) of 1.0

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Fig. 7

Temperature distributions inside wavy channels at various wavelength ratios (λ1/λ2) and wall-to-wall spacing (S) for the amplitude ratio (λ1/λ2) of 1.0

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Fig. 8

The optimal configuration and minimal global thermal resistance for wavy channels under various Reynolds numbers

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