Thermal performance analysis of non-uniform height rectangular fin based on constructal theory and entransy theory

作     者：YANG Ai Bo CHEN Lin Gen XIE Zhi Hui FENG Hui Jun SUN Feng Rui 

作者机构：Institute of Thermal Science and Power EngineeringMilitary Key Laboratory for Naval Ship Power EngineeringCollege of Power EngineeringNaval University of Engineering 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2016年第59卷第12期

页      面：1882-1891页

核心收录：

学科分类：080903[工学-微电子学与固体电子学] 080701[工学-工程热物理] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0807[工学-动力工程及工程热物理] 

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 51579244  51506220 and 51356001) 

主　　题：constructal design entransy theory maximum thermal resistance equivalent thermal resistance rectangular fin generalized thermodynamic optimization 

摘      要：A model of non-uniform height rectangular fin, in which the variation of base s thickness and width are taken into account, is established in this paper. The dimensionless maximum thermal resistance(DMTR) and the dimensionless equivalent thermal resistance(DETR) defined based on the entransy dissipation rate(EDR) are taken as performance evaluation indexes. According to constructal theory, the variations of the two indexes with the geometric parameters of the fin are analyzed by using a finite-volume computational fluid dynamics code, the effects of the fin-material fraction on the two indexes are analyzed. It is found that the two indexes decrease monotonically as the ratio between the front height and the back height of the fin increases subjected to the non-uniform height rectangular fin. When the model is reduced to the uniform height fin, the two indexes increase first and then decrease with increase in the ratio between the height of the fin and the fin space. The fin-material fraction has no effect on the change rule of the two indexes with the ratio between the height of the fin and the fin space. The sensitivity of the DETR to the geometric parameters of the fin is higher than that of the DMTR to the geometric parameters. The results obtained herein can provide some theoretical support for the thermal design of rectangular fins.