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Constructal entransy dissipation rate minimization for ＂disc-to-point＂ heat conduction

ISSN号：0577-6686
期刊名称：《机械工程学报》
时间：0
分类：TK123[动力工程及工程热物理—工程热物理;动力工程及工程热物理—热能工程] TN791.02[电子电信—电路与系统]
作者机构：[1]Postgraduate School of Naval University of Engineering, Wuhan 430033, China
相关基金：This work was supported by the National Natural Science Foundation of China （10905093）, the Program for New Century Excellent Talents in University of China （NCET-04-1006） and the Foundation for the Author of National Excellent Doctoral Dissertation of China （200136）.

作者： XIAO QingHua CHEN LinGen SUN FengRui[1]

关键词：构形理论, 最小化, 耗散率, 光盘, 导热率, 高导热材料, 优化程序, 传热性能, constructal theory, entransy dissipation rate, ＂disc-to-point＂ heat conduction, generalized thermodynamic optimization

中文摘要：

把理论基于 constructal， disc-to-point 热传导被最小化一个批评的点是坚定的 entransy 驱散率优化那散布高传导性的材料根据优化光线或分支模式。结果证明批评的点被二材料和分配到全部体积的高传导性的材料的体积部分的热传导性比率的产品决定。最佳的热转移性能的观点能基于 entransy 驱散极值原则被归因于圆盘。基于 MTD 最小化(最大的温度差别最小化) 基于 EDR 最小化(entransy 驱散率最小化) 把结果与那些作比较，一个人发现从二个优化过程导出的表演是不同的。当热传导性比率和卷部分的产品是 30 时，以前的过程的批评的点为磁盘的 nondimensional 半径哪个等于 1.75 是那，当后者过程的为磁盘的这半径哪个等于 2.18 是那时。从二个过程比较热转移表演，吝啬的热转移温度差别为从而收到改进表演限额的以前的过程更被减少。

英文摘要：

Based on constructal theory, ＂disc-to-point＂ heat conduction is optimized by minimizing the entransy dissipation rate whereby a critical point is determined that distributes the high-conductivity material according to optimized radial or branch patterns. The results show that the critical point is determined by the product of the thermal conductivity ratio of the two materials and the volume fraction of the high-conductivity material allocated to the entire volume. The notion of optimal heat transfer performance can be attributed to the disc based on the entransy dissipation extremum principle. Comparing the results based on EDR minimization （entransy dissipation rate minimization） with those based on MTD minimization （maximum temperature difference minimization）, one finds that the performance derived from the two optimization procedures are different. When the product of the thermal conductivity ratio and volume fraction is 30, the critical point of the former procedure is that for which the nondimensional radius of the disc equals 1.75, while that of the latter procedure is that for which this radius of the disc equals 2.18. Comparing heat transfer performances from the two procedures, the mean heat transfer temperature difference is decreased more for the former procedure thereby receiving an improved performance quota.