Optimization of fin geometry in heat convection with entransy theory

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

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.

Keywords: entransy dissipation thermal resistance heat convection optimization fin efficiency

Received: 20 June 2012
Revised: 19 July 2012
Accepted manuscript online:

PACS:	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)
	44.27.+g	(Forced convection)
	44.05.+e	(Analytical and numerical techniques)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51106082) and the Tsinghua University Initiative Scientific Research Program.

Corresponding Authors: Liang Xin-Gang
E-mail: liangxg@tsinghua.edu.cn

Cite this article:

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 2013 Chin. Phys. B 22 020503

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