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最大热阻最小化的环形高导热通道三维体点导热最优构形的解析解法
引用本文:冯辉君,陈林根,孙丰瑞.最大热阻最小化的环形高导热通道三维体点导热最优构形的解析解法[J].热科学与技术,2011,10(3):237-243.
作者姓名:冯辉君  陈林根  孙丰瑞
作者单位:海军工程大学船舶与动力学院,湖北武汉,430033
基金项目:国家自然科学基金资助项目(10905093); 教育部新世纪优秀人才支持计划项目(NCET-04-1006); 全国优秀博士学位论文作者专项资金资助项目(200136)
摘    要:基于构形理论,采用解析解法,以最大温差最小为优化目标,对基于环形高导热通道和圆柱形单元体的三维“体-点”导热模型进行构形优化,得到无量纲最大热阻最小的三维圆柱体最优构形.结果表明:增大高、低导热材料导热系数比、高导热材料占比和单元体数目均有助于提高圆柱形构造体的导热性能,但当单元体数目较大时,圆柱形构造体的导热性能改善...

关 键 词:构形理论  最大热阻最小  圆柱形单元体  “体-点”导热  广义热力学优化

Analytical solution of three dimensional volume-point heat conduction constructal optimization based on maximum thermal resistance minimization with circular high conductivity channel
FENG Hui-jun,CHEN Lin-gen,SUN Feng-rui.Analytical solution of three dimensional volume-point heat conduction constructal optimization based on maximum thermal resistance minimization with circular high conductivity channel[J].Journal of Thermal Science and Technology,2011,10(3):237-243.
Authors:FENG Hui-jun  CHEN Lin-gen  SUN Feng-rui
Affiliation:FENG Hui-jun,CHEN Lin-gen,SUN Feng-rui College of Naval Architecture and Power,Naval University of Engineering,Wuhan,430033,China
Abstract:Based on constructal theory,the construct of a three-dimensional volume-point heat conduction model with circular high conductivity channel and cylindrical element was optimized by adopting analytical method and taking minimum dimensionless maximum thermal resistance as optimization objective.The optimal constructal shape of the three-dimensional cylinder with minimum dimensionless maximum thermal resistance was obtained.The results show that with the increases of the thermal conductivity ratio of the high ...
Keywords:constructal theory  maximum thermal resistance minimization  cylindrical element  volume-point heat conduction  generalized thermodynamic optimization  
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