Optimization of fin geometry in heat convection with entransy theory

doi:10.1088/1674-1056/22/2/020503

中国物理B ›› 2013, Vol. 22 ›› Issue (2): 20503-020503.doi: 10.1088/1674-1056/22/2/020503

Optimization of fin geometry in heat convection with entransy theory

程雪涛^a, 张勤昭^b, 徐向华^a, 梁新刚^a

a Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, School of Aerospace, Tsinghua University, Beijing 100084, China;
b Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China

收稿日期:2012-06-20 修回日期:2012-07-19 出版日期:2013-01-01 发布日期:2013-01-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51106082) and the Tsinghua University Initiative Scientific Research Program.

Optimization of fin geometry in heat convection with entransy theory

Cheng Xue-Tao (程雪涛)^a, Zhang Qin-Zhao (张勤昭)^b, Xu Xiang-Hua (徐向华)^a, Liang Xin-Gang (梁新刚)^a

a Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, School of Aerospace, Tsinghua University, Beijing 100084, China;
b Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China

Received:2012-06-20 Revised:2012-07-19 Online:2013-01-01 Published:2013-01-01
Contact: Liang Xin-Gang E-mail:liangxg@tsinghua.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51106082) and the Tsinghua University Initiative Scientific Research Program.

摘要/Abstract

摘要： The entransy theory developed in the recent years is used to optimize the aspect ratio of plate fin in heat convection. Based on a two-dimensional model, the theoretical analysis shows that the minimum thermal resistance defined with the concept of entransy dissipation corresponds to the maximum heat transfer rate when the temperature of the heating surface is fixed. On the other hand, when the heat flux of the heating surface is fixed, the minimum thermal resistance corresponds to the minimum average temperature of the heating surface. The entropy optimization is also given for the heat transfer processes. It is observed that none of the minimum entropy generation, the minimum entropy generation number, and the minimum revised entropy generation number always corresponds to the best heat transfer performance. In addition, the influence factors on the optimized aspect ratio of plate fin are also discussed. The optimized ratio decreases with the enhancement of heat convection, while it increases with fin thermal conductivity increasing.

关键词: entransy dissipation, thermal resistance, heat convection optimization, fin efficiency

Abstract: The entransy theory developed in the recent years is used to optimize the aspect ratio of plate fin in heat convection. Based on a two-dimensional model, the theoretical analysis shows that the minimum thermal resistance defined with the concept of entransy dissipation corresponds to the maximum heat transfer rate when the temperature of the heating surface is fixed. On the other hand, when the heat flux of the heating surface is fixed, the minimum thermal resistance corresponds to the minimum average temperature of the heating surface. The entropy optimization is also given for the heat transfer processes. It is observed that none of the minimum entropy generation, the minimum entropy generation number, and the minimum revised entropy generation number always corresponds to the best heat transfer performance. In addition, the influence factors on the optimized aspect ratio of plate fin are also discussed. The optimized ratio decreases with the enhancement of heat convection, while it increases with fin thermal conductivity increasing.

Key words: entransy dissipation, thermal resistance, heat convection optimization, fin efficiency

中图分类号: (Nonequilibrium and irreversible thermodynamics)

05.70.Ln

44.27.+g (Forced convection) 44.05.+e (Analytical and numerical techniques)

程雪涛, 张勤昭, 徐向华, 梁新刚. Optimization of fin geometry in heat convection with entransy theory[J]. 中国物理B, 2013, 22(2): 20503-020503.

Cheng Xue-Tao (程雪涛), Zhang Qin-Zhao (张勤昭), Xu Xiang-Hua (徐向华), Liang Xin-Gang (梁新刚). Optimization of fin geometry in heat convection with entransy theory[J]. Chin. Phys. B, 2013, 22(2): 20503-020503.

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Optimization of fin geometry in heat convection with entransy theory

Optimization of fin geometry in heat convection with entransy theory

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