Applicability of minimum entropy generation methodto optimizing thermodynamic cycles

doi:10.1088/1674-1056/22/1/010508

Abstract Entropy generation is often used as a figure of merit in thermodynamic cycle optimizations. In this paper, it is shown that the applicability of the minimum entropy generation method to optimizing output power is conditional. The minimum entropy generation rate and the minimum entropy generation number do not correspond to the maximum output power when the total heat into the system of interest is not prescribed. For the cycles whose working medium is heated or cooled by streams with prescribed inlet temperatures and prescribed heat capacity flow rates, it is theoretically proved that both the minimum entropy generation rate and the minimum entropy generation number correspond to the maximum output power when the virtual entropy generation induced by dumping the used streams into the environment is considered. However, the minimum principle of entropy generation is not tenable in the case that the virtual entropy generation is not included, because the total heat into the system of interest is not fixed. An irreversible Carnot cycle and an irreversible Brayton cycle are analysed. The minimum entropy generation rate and the minimum entropy generation number do not correspond to the maximum output power if the heat into the system of interest is not prescribed.

Keywords: entropy generation thermodynamic cycles heat-work conversion optimization

Received: 07 April 2012
Revised: 20 June 2012
Accepted manuscript online:

PACS:	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)
	95.30.Tg	(Thermodynamic processes, conduction, convection, equations of state)
	65.40.gd	(Entropy)

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

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

Cite this article:

Cheng Xue-Tao (程雪涛), Liang Xin-Gang (梁新刚) Applicability of minimum entropy generation methodto optimizing thermodynamic cycles 2013 Chin. Phys. B 22 010508

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