基于构形理论的变断面导热通道体—点导热优化  

Volume-point Conduction Optimization of Variable Cross-section Conducting Path Based on Constructal Theory

作　　者：周圣兵[1] 陈林根[1] 孙丰瑞[1] 

机构地区：[1]海军工程大学研究生院,武汉430033

出　　处：《机械工程学报》2008年第1期46-50,55,共6页Journal of Mechanical Engineering

基　　金：教育部新世纪优秀人才支持计划(NCET-04-1006);全国优秀博士学位论文作者专项基金(200136)资助项目。

摘　　要：根据构形理论体-点导热模型,对均匀内热源单点冷却控制体进行构形优化。介绍构形理论在导热问题中的研究应用,并在已有文献基础上,结合经过优化的变断面导热通道,以矩形单元体为基础,按从内部小结构到外部大结构的过程,对所给控制体进行向外构形优化。然后,从控制体总体结构开始进一步对其进行向内构形优化,在给定相同参数条件下,分析比较各级最佳构形体的热阻大小,得到完整的解析解;确定构成各级高级构形体所需的低一级构形体的最佳数目;求出控制体热阻最小时的最优构形级数。向内构形优化的结果表明,增加控制体内部复杂程度并不总能降低其热阻,而是存在最佳的构造级数,使热阻达到最小。The constructal optimization of the control-volume, which generates heat uniformly and is cooled by a single point, is carried out based on constructal volume-point conduction model. The application of constructal theory in conduction is introduced. The forward constructal solution, which is from internal ＂small＂ construct to external ＂big＂ construct with rectangular element, is researched based on the optimized variable cross-section conducting path of volume-point conduction. Then the control-volume is optimized with inward constructal solution from external ＂big＂ construct to internal ＂small＂ construct. The optimal thermal resistances of all the constructs are compared with each other under the same values of some parameters. The complete analytical results are obtained. The optimum number of the lower order constructs which formed higher order constructs is determined. The optimum order of the construct with smallest heat resistance is obtained. The results obtained with inward constructal solution show that heat resistance can＇t always decrease when the complexity of the control-volume increases. There exists an optimal constructal order corresponding to the minimum heat resistance.

关 键 词：构形理论 体—点导热 广义热力学优化 

分 类 号：TB61[一般工业技术—制冷工程]