You Jiang, Feng Huijun, Chen Lingen, Xie Zhihui
Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, China.
Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering, Wuhan 430033, China.
Entropy (Basel). 2018 Sep 7;20(9):685. doi: 10.3390/e20090685.
A heat conduction model in a radial-pattern disc by considering non-uniform heat generation (NUHG) is established in this paper. A series of high conductivity channels (HCCs) are attached on the rim of the disc and extended to its center. Constructal optimizations of the discs with constant and variable cross-sectional HCCs are carried out, respectively, and their maximum temperature differences (MTDs) are minimized based on analytical method and finite element method. Besides, the influences of the NUHG coefficient, HCC number and width coefficient on the optimal results are studied. The results indicate that the deviation of the optimal constructs obtained from the analytical method and finite element method are comparatively slight. When the NUHG coefficient is equal to 10, the minimum MTD of the disc with 25 constant cross-sectional HCCs is specifically reduced by 48.8% compared to that with 10 HCCs. As a result, the heat conduction performance (HCP) of the disc can be efficiently improved by properly increasing the number of HCCs. The minimum MTD of the disc with variable cross-sectional HCC is decreased by 15.0% when the width coefficient is changed from 1 to 4. Therefore, the geometry of variable cross-sectional HCC can be applied in the constructal design of the disc to a better heat transfer performance. The constructal results obtained by investigating the non-uniform heat generating case in this paper can contribute to the design of practical electronic device to a better heat transfer performance.
本文建立了一种考虑非均匀热生成（NUHG）的径向图案盘的热传导模型。一系列高导热通道（HCCs）附着在盘的边缘并延伸至其中心。分别对具有恒定和可变横截面HCCs的盘进行了构型优化，并基于解析方法和有限元方法将它们的最大温差（MTDs）最小化。此外，研究了NUHG系数、HCC数量和宽度系数对优化结果的影响。结果表明，从解析方法和有限元方法获得的最优构型的偏差相对较小。当NUHG系数等于10时，具有25个恒定横截面HCCs的盘的最小MTD比具有10个HCCs的盘的最小MTD具体降低了48.8%。因此，通过适当增加HCCs的数量可以有效地提高盘的热传导性能（HCP）。当宽度系数从1变为4时，具有可变横截面HCC的盘的最小MTD降低了15.0%。因此，可变横截面HCC的几何形状可应用于盘的构型设计以获得更好的传热性能。本文通过研究非均匀热生成情况获得的构型结果有助于实际电子设备的设计以获得更好的传热性能。
