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

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• 作者：AiBo Yang ; LinGen Chen ; ZhiHui Xie ; HuiJun Feng…
• 关键词：constructal design ; entransy theory ; maximum thermal resistance ; equivalent thermal resistance ; rectangular fin ; generalized thermodynamic optimization
• 刊名：Science China Technological Sciences
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：59
• 期：12
• 页码：1882-1891
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Engineering, general;
• 出版者：Science China Press
• ISSN：1869-1900
• 卷排序：59

文摘

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.