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Constructal entransy dissipation rate minimization for heat conduction based on a tapered element

ISSN号：1001-6538
期刊名称：Chinese Science Bulletin
时间：0
页码：2400-2410
分类：TQ330.46[化学工程—橡胶工业] 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]
作者机构：[1]College of Naval Architecture and Power, 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 Universities of China （NCET-04-1006） and the Foundation for the Author of National Excellent Doctoral Dissertations of China （200136）. The authors wish to thank the reviewers for their careful, unbiased and constructive suggestions, which led to this revised manuscript.
相关项目：换热过程和热机最优构型研究

作者： Xiao Qinghua|Chen Lingen|Sun Fengrui|

关键词：构形理论, 耗散率, 最小化, 热传导, 元素, 锥形, 优化目标, 平均温差, constructal theory, entransy dissipation rate, volume-to-point heat conduction, generalized thermodynamic optimization

中文摘要：

把理论，一个逐渐变细的元素的结构和高传导性的连接基于 constructal 被作为优化目的拿 entransy 驱散率的最小化优化。当控制卷的内部复杂性增加时，结果证明热转移的吝啬的温度差别不能总是减少。在那里存在为热转移导致最小的吝啬的温度差别的一份最佳的 constructal 订单。在有可变形状的高传导性的连接的热当前的密度线性地不取决于长度。因此，优化构造基于最大的温度差别的最小化与那些基于 entransy 驱散率的最小化不同。与构造相比基于最大的温度差别的最小化，构造基于 entransy 驱散的最小化，率能减少吝啬的温度差别，并且显著地改进热转移表演。因为 entransy 更合适描述热转移能力，在发情传导的各种各样的 constructal 问题可以用这个基础更有效地被处理。

英文摘要：

Based on constructal theory, the structure of a tapered element and high-conductivity link is optimized by taking the minimization of the entransy dissipation rate as the optimization objective. The results show that the mean temperature difference of the heat transfer cannot always decrease when the internal complexity of the control-volume increases. There exists an optimal constructal order leading to the minimum mean temperature difference for heat transfer. The thermal current density in high-conductivity links with variable shapes does not linearly depend on the length. Therefore, the optimized constructs based on the minimization of the entransy dissipation rate are different from those based on the minimization of the maximum temperature difference. Compared with the construct based on the minimization of the maximum temperature difference, the construct based on the minimization of the entransy dissipation rate can reduce the mean temperature difference, and improve the heat transfer performance significantly. Because entransy describes the heat transfer ability more suitably, various constructal problems in heat conduction may be addressed more effectively using this basis.