An analytical solution of thermal resistance of cubic heat spreaders for electronic cooling

被引:48
作者
Feng, TQ [1 ]
Xu, JL [1 ]
机构
[1] Chinese Acad Sci, Guangzhou Inst Energy Convers, Guangzhou 510070, Peoples R China
关键词
electronic cooling; spreading thermal resistance; Fourier series; three-dimensional;
D O I
10.1016/j.applthermaleng.2003.07.001
中图分类号
O414.1 [热力学];
学科分类号
摘要
A three-dimensional analytical solution using the method of Fourier expansion is developed for determination of the spreading thermal resistance of a cubic heat spreader for electronic cooling applications. The model assumes that the heat spreader is receiving a uniform heat flux centroidally with a projected heating area from the heat source. Heat is conducted inside the heat spreader in a three-dimensional coordinate, then transferred to a heat sink with a constant convective heat transfer coefficient. Dimensionless expressions in the form of infinite series are provided to compute the maximum spreading thermal resistance, the surface temperature fields and the heat flux distribution as a function of relative projected heating area, plate thickness and Biot number. The correlation developed herein is effective and accurate to predict the spreading thermal resistance. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:323 / 337
页数:15
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