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Research Papers

Determination of Optimized Rectangular Spreader Thickness for Lower Thermal Spreading Resistance

[+] Author and Article Information
Yen-Shu Chen1

Nuclear Engineering Division, Institute of Nuclear Energy Research, Taoyuan County, Taiwan 32546, Republic of Chinayschen@iner.gov.tw

Kuo-Hsiang Chien

Energy and Environment Research Laboratories, Industrial Technology Research Institute, Hsinchu, Taiwan 310, Republic of Chinakhchien@itri.org.tw

Yung-Shin Tseng

Nuclear Engineering Division, Institute of Nuclear Energy Research, Taoyuan County, Taiwan 32546, Republic of Chinaystseng@iner.gov.tw

Yea-Kuang Chan

Nuclear Engineering Division, Institute of Nuclear Energy Research, Taoyuan County, Taiwan 32546, Republic of Chinaykchan@iner.gov.tw

1

Corresponding author.

J. Electron. Packag 131(1), 011004 (Feb 11, 2009) (8 pages) doi:10.1115/1.3068299 History: Received March 10, 2008; Revised May 06, 2008; Published February 11, 2009

This study presents an approximation for determining an optimized thickness of a concentric heated rectangular plate and derives an analytical solution for spreading resistance of a spreader having orthotropic conductivities. The solution for the orthotropic plate is obtained by separation of variables, and the optimized thickness is determined by taking the derivative of the thermal resistance with respect to the spreader thickness. According to the calculated results, an enhanced in-plane spreading effect can reduce the spreading resistance. The spreading resistance dominates the overall resistance of thin plates, whereas the one-dimensional conduction resistance becomes important for thick plates. However, the predicted optimized thickness from the approximation shows a disparity from the analytical results, while the aspect ratio between a spreader and heat source is less than 0.2. Even so, the thermal resistance corresponding to the predicted thickness is still in good agreement with the analytical solution. The proposed approximation will be useful for practical thermal design of heat sinks by predetermining the spreader thickness.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of a rectangular spreader plate with a central heat source

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Figure 2

Spreading resistances of the square spreader under various aspect ratios

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Figure 3

Spreading resistances of the orthotropic spreader with various in-plane thermal conductivity in (a) dimensionless form and (b) the calculated values

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Figure 4

The one-dimensional, spreading, and total resistances with the aspect ratio of (a) 0.3, (b) 0.5, and (c) 0.7

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Figure 5

Optimized thicknesses of the square spreader obtained from the approximation and the analytical solution

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Figure 6

Optimized thicknesses of the rectangular spreader obtained from the approximation and the analytical solution

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