• CN:11-2187/TH
  • ISSN:0577-6686

›› 2007, Vol. 43 ›› Issue (12): 55-58.

• 论文 • 上一篇    下一篇

基于构形理论的体点问题

伍文君;陈林根;孙丰瑞   

  1. 海军工程大学研究生院(筹)
  • 发布日期:2007-12-15

“VOLUME-POINT” FLOW PROBLEM BASED ON CONSTRUCTAL THEORY

WU Wenjun;CHEN Lingen;SUN Fengrui   

  1. Postgraduate School, Naval University of Engineering
  • Published:2007-12-15

摘要: 基于构形理论对均匀内热源单点冷却的体点问题进行重新优化。沿用近似解法中“高导热通道上热流密度线性分布”的简化,采用常规方法而非近似解法中的等效导热系数法,对高导热通道的分布进行重新优化,得到与精确解法相一致的优化结果,从而证明了近似解法产生较大偏差的原因并不是高导热通道上热流密度线性分布的简化。按照等效前后最大温差相等的原则,对近似解法中提出的等效导热系数重新进行推导,推导出不同的等效导热系数。将该等效导热系数替代近似解法中的等效导热系数,得到与精确解法相一致的优化结果,从而证明了原等效导热系数并不等效,而这也正是近似解法产生偏差的原因。在澄清近似解法产生偏差原因的同时,找到一个既与精确解一致又相对简便的解法。

关键词: 等效导热系数, 构形理论, 广义热力学优化, 体点问题, FE-EFG耦合法, GPU并行计算, 交叉节点对, 局域搜索, 组配法

Abstract: The optimization of the “volume-point” flow problem which generates heat uniformly is repeated based on constructal theory. With help of the simplification method used in the approximate solution that the heat input into the high conductivity channel is uniform, and the calculation in the routine way, a result consistent with the exact result is deduced, and the cause of the error in the approximate solution is not the reasonable simplification is proved. According to the principle that the maximum temperature after and before the equivalent transformation should be the same, the equivalent thermal conductivity put forward in the approximate solution is deduced again, and a correct equivalent thermal conductivity is obtained. Substituting the equivalent thermal conductivity with the original one, a consistent result is obtained, the original equivalent thermal conductivity is not equivalent, which is also the real cause of the error. The cause of the error is clarified, while a new solution which is relatively simple but consistent with the exact solution is obtained.

Key words: “Volume-point” flow problem, Constructal theory, Equivalent thermal conductivity efficient, Generalized thermodynamic optimization, GPU parallel computing, Interaction node pair, Local search, Collocation approach, Coupled FE-EFG method

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