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Chin. Phys. B, 2013, Vol. 22(8): 084401    DOI: 10.1088/1674-1056/22/8/084401
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

A comparison of different entransy flow definitions and entropy generation in thermal radiation optimization

Zhou Bing (周兵), Cheng Xue-Tao (程雪涛), Liang Xin-Gang (梁新刚)
Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
Abstract  In thermal radiation, taking heat flow as an extensive quantity and defining the potential as temperature T or the blackbody emissive power U will lead to two different definitions of radiation entransy flow and the corresponding principles for thermal radiation optimization. The two definitions of radiation entransy flow and the corresponding optimization principles are compared in this paper. When the total heat flow is given, the optimization objectives of the extremum entransy dissipation principles (EEDPs) developed based on potentials T and U correspond to the minimum equivalent temperature difference and the minimum equivalent blackbody emissive power difference respectively. The physical meaning of the definition based on potential U is clearer than that based on potential T, but the latter one can be used for the coupled heat transfer optimization problem while the former one cannot. The extremum entropy generation principle (EEGP) for thermal radiation is also derived, which includes the minimum entropy generation principle for thermal radiation. When the radiation heat flow is prescribed, the EEGP reveals that the minimum entropy generation leads to the minimum equivalent thermodynamic potential difference, which is not the expected objective in heat transfer. Therefore, the minimum entropy generation is not always appropriate for thermal radiation optimization. Finally, three thermal radiation optimization examples are discussed, and the results show that the difference in optimization objective between the EEDPs and the EEGP leads to the difference between the optimization results. The EEDP based on potential T is more useful in practical application since its optimization objective is usually consistent with the expected one.
Keywords:  thermal radiation      entransy flow      entropy generation      optimization  
Received:  26 October 2012      Revised:  21 December 2012      Accepted manuscript online: 
PACS:  44.40.+a (Thermal radiation)  
Fund: Project supported by the Tsinghua University Initiative Scientific Research Program and the National Natural Science Foundation of China (Grant No. 51136001).
Corresponding Authors:  Liang Xin-Gang     E-mail:  liangxg@tsinghua.edu.cn

Cite this article: 

Zhou Bing (周兵), Cheng Xue-Tao (程雪涛), Liang Xin-Gang (梁新刚) A comparison of different entransy flow definitions and entropy generation in thermal radiation optimization 2013 Chin. Phys. B 22 084401

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