摘要
Umbrella-shaped assembly of cylindrical fins is optimized by adopting analytical method and taking dimensionless mean thermal resistance (MTR) as performance index. The optimal construct of umbrella-shaped assembly is obtained. The results show that the heat conductance performance of the assembly becomes ever worse with ever greater number of elemental cylindrical fins,the umbrella-shaped assembly reduces to cylindrical fin in some values of design parameters,and the diameters’ dependence on design parameters is weak for the optimized assembly. An equivalent thermal resistance defined based on entransy dissipation rate (EDR) reflects an average heat transfer effect of the assembly. The constructal design corresponding to the minimum EDR (or MTR) should be adopted for designing an assembly of fins in engineering at the limit safe condition.
Umbrella-shaped assembly of cylindrical fins is optimized by adopting analytical method and taking dimensionless mean thermal resistance （MTR） as performance index. The optimal construct of umbrella-shaped assembly is obtained. The results show that the heat conductance performance of the assembly becomes ever worse with ever greater number of elemental cy- lindrical fins, the umbrella-shaped assembly reduces to cylindrical fin in some values of design parameters, and the diameters＇ dependence on design parameters is weak for the optimized assembly. An equivalent thermal resistance defined based on entransy dissipation rate （EDR） reflects an average heat transfer effect of the assembly. The constructal design corresponding to the minimum EDR （or MTR） should be adopted for designing an assembly of fins in engineering at the limit safe condition.
基金
supported by the National Natural Science Foundation of China (Grant No.10905093)
the Program for New Century Excellent Talents in University of China (Grant No.NCET-04-1006)
the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No.200136)
关键词
构形设计
圆柱形
耗散率
最小化
鳍
量纲分析方法
设计参数
热传导性能
constructal theory, fin, entransy dissipation rate, intensifying heat transfer, generalized thermodynamic optimization
