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  

Analytical solution of three dimensional "volume-point" heat conduction constructal optimization based on maximum thermal resistance minimization with circular high conductivity channel

作　　者：冯辉君[1] 陈林根[1] 孙丰瑞[1] 

机构地区：[1]海军工程大学船舶与动力学院,湖北武汉430033

出　　处：《热科学与技术》2011年第3期237-243,共7页Journal of Thermal Science and Technology

基　　金：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不再明显。最大热阻最小追求构造体内最大温差的最小化,能够降低结构体内的极限温度,增强结构体的安全性能。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 and low conductivity material,fraction of high conductivity material and element number,the heat transfer performance of the cylindrical assembly will be improved,but this improvement is not obvious when the element number is large.The maximum thermal resistance minimization follows the minimization of the maximum temperature difference of the construct,and can reduce the maximum temperature limitation of the construct as well as enhance its system safety at the same time.Key wrods： constructal theory;maximum thermal resistance minimization;cylindrical element;volume-point heat conduction;generalized thermodynamic optimization

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 

分 类 号：TK12[动力工程及工程热物理—工程热物理]