广义流动中的积原理

程雪涛; 徐向华; 梁新刚

doi:10.7498/aps.60.118103

摘要

自然界发生的热量传递、分子扩散、导电等现象具有一定的相似性,它们均可被称为广义流动.文章基于这种相似性,对过增元等针对传热过程提出的(火积)理论进行了推广,定义了积、积流、积耗散等概念.针对只有一种广义流动和存在两种广义流动的系统,指出了在该类系统中可以发展积原理的条件,并在满足相应条件的系统中得到了积损失极小值原理、积耗散极值原理和最小广义流阻原理.

关键词:

Some natural phenomena, such as heat transfer, molecular diffusion and electricity conduction, are very similar to each other to some extent. They all could be treated as generalized flows. Based on this kind of similarity, in this paper we generalize the theory of entransy, and define the concepts of potential entransy, potential entransy flux, and potential entransy dissipation. In the system where there is only one kind of generalized flow or two kinds of generalized flows, the conditions under which we can develop the principles of potential entransy are introduced. Furthermore, the minimum principle of potential entransy loss, the extremum principle of potential entransy dissipation and the generalized minimum flow resistance principle are developed and discussed.

Keywords:

generalized flow /
potential entransy /
minimum principle of potential entransy loss /
extremum principle of potential entransy dissipation

作者及机构信息

1.
清华大学航天航空学院,热科学与动力工程教育部重点实验室,北京 100084

基金项目: 清华大学自主科研计划和国家自然科学基金(批准号:51106082)资助的课题.

Authors and contacts

1.
Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

参考文献

[1]	Onsager L 1931 Phys. Rev. 37 405
[2]
[3]	Onsager L 1931 Phys. Rev. 38 2265
[4]	Radcenco V 1994 Generalized Thermodynamics (Bucharest: Editura Techica)
[5]
[6]	Chen L, Bi Y, Wu C 1999 J. Phys. D: Appl. Phys. 32 1346
[7]
[8]	Chen L, Wu C, Sun F 1999 J. Non-Equilibrium Thermod. 24 327
[9]
[10]
[11]	Guo Z Y, Zhu H Y, Liang X G 2007 Int. J. Heat Mass Trans. 50 2545
[12]	Guo Z Y, Cheng X G, Xia Z Z 2003 Chin. Sci. Bull. 48 406
[13]
[14]	Cheng X G, Li Z X, Guo Z Y 2003 J. Eng. Thermophy. 24 94 (in Chinese) [程新广、李志信、过增元 2003 工程热物理学报 24 94]
[15]
[16]
[17]	Zhu H Y, Chen Z J, Guo Z Y 2007 Prog. Nat. Sci. 17 1692 (in Chinese) [朱宏晔、陈泽敬、过增元 2007 自然科学进展 17 1692]
[18]	Chen L G, Wei S H, Sun F R 2008 J. Phys. D: Appl. Phys. 41 195506
[19]
[20]	Chen L G, Wei S H, Sun F R 2009 J. Appl. Phys. 105 094906
[21]
[22]
[23]	Xie Z H, Chen L G, Sun F R 2009 Sci. China E 52 3504
[24]	Wei S H, Chen L G, Sun F R 2009 Sci. China E 52 2981
[25]
[26]
[27]	Cheng X T, Xu X H, Liang X G 2009 Sci. China E 52 2937
[28]
[29]	Xiao Q H, Chen L G, Sun F R 2010 Chin. Sci. Bull. 55 3753
[30]	Chen Q, Ren J X 2008 Chin. Sci. Bull. 53 3753
[31]
[32]	Wu J, Cheng X G, Meng J A, Guo Z Y 2006 J. Eng. Thermophy. 27 100 (in Chinese) [吴晶、程新广、孟继安、过增元 2006 工程热物理学报 27 100]
[33]
[34]
[35]	Chen Q, Wang M R, Pan N, Guo Z Y 2009 Energy 34 1199
[36]
[37]	Xiao Q H, Chen L G, Sun F R 2010 Sci. China E 55 2427
[38]	Wu J, Liang X G 2008 Sci. China E 51 1306
[39]
[40]
[41]	Cheng X T, Liang X G 2011 Int. J. Heat Mass Transfer 54 269
[42]
[43]	Liu X B, Meng J A, Guo Z Y 2008 Prog. Nat. Sci. 18 1186
[44]	Liu X B, Guo Z Y 2009 Acta Phys. Sin. 58 4766 (in Chinese) [柳雄斌、过增元 2009 物理学报 58 4766]
[45]
[46]	Liu X B, Meng J A, Guo Z Y 2009 Chin. Sci. Bull. 54 943
[47]
[48]
[49]	Xia S J, Chen L G, Sun F R 2009 Chin. Sci. Bull. 54 3587
[50]
[51]	Guo J F, Cheng L, Xu M T 2009 Chin. Sci. Bull. 54 2708
[52]
[53]	Xia S J, Chen L G, Sun F R 2010 Sci. China E 53 960
[54]	Xie Y J, Shi Q W, Wang X P, Zhu P P, Yang H Y, Zhang X Y 2004 Acta Phys. Sin. 53 2796 (in Chinese) [谢永军、石勤伟、王晓平、朱平平、杨海洋、张兴元 2004 物理学报 53 2796]
[55]
[56]
[57]	Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. Sin. 58 8160 (in Chinese) [黄晓林、崔胜忠、宁新宝、卞春华 2009 物理学报 58 8160]
[58]	Zhao R, Zhang L C, Zhang S L 2007 Acta Phys. Sin. 56 3719 (in Chinese) [赵仁、张丽春、张胜利 2007 物理学报 56 3719]
[59]
[60]
[61]	Zhang C L, Hu S Q, Li H F, Zhao R 2008 Acta Phys. Sin. 57 3719 (in Chinese) [张丽春、胡双启、李怀繁、赵仁 2008 物理学报 57 3328]
[62]	Zeng X X 2010 Acta Phys. Sin. 59 92 (in Chinese) [曾晓雄 2010 物理学报 59 92]
[63]
[64]	Jin N D, Dong F, Zhao S 2007 Acta Phys. Sin. 56 720 (in Chinese) [金宁德、董芳、赵舒 2007 物理学报 56 720]
[65]
[66]
[67]	Guo Y F, Xu W, Li D X, Wang L 2010 Acta Phys. Sin. 59 2235 (in Chinese) [郭永峰、徐伟、李东喜、王亮 2010 物理学报 59 2235]
[68]
[69]	Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光、张增平2008 物理学报 57 1976]
[70]	Bejan A 1979 ASME J. Heat Transfer 101 718
[71]
[72]
[73]	Poulikakos D, Bejan A 1982 ASME J. Heat Transfer 104 616
[74]
[75]	Erek A, Dincer I 2008 Int. J. Thermal. Sci. 47 1077
[76]	Bejan A 1982 Adv. Heat Transfer 15 1
[77]
[78]
[79]	Shah R K, Skiepko T 2004 J. Heat Transfer 126 994
[80]
[81]	Cheng X T, Liang X G, Guo Z Y 2011 Chin. Sci. Bull. 56 222(in Chinese)[程雪涛、梁新刚、过增元 2011 科学通报 56 222]
[82]
[83]	Cheng X T, Liang X G, Xu X H 2011 Acta Phys. Sin. 60 060512 (in Chinese) [程雪涛、梁新刚、徐向华 2011 物理学报 60 060512]
[84]	Chen Q 2008 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese) [陈群 2008 博士学位论文 (北京:清华大学)]
[85]
[86]	Chen Q, Ren J X, Guo Z Y 2009 Chin. Sci. Bull. 54 1606 (in Chinese)[陈群、任建勋、过增元 2009 科学通报 54 1606]
[87]
[88]	Wang H D, Cao B Y, Guo Z Y 2010 Int. J. Heat Mass Transfer 53 1796
[89]

施引文献

[1]	Onsager L 1931 Phys. Rev. 37 405
[2]
[3]	Onsager L 1931 Phys. Rev. 38 2265
[4]	Radcenco V 1994 Generalized Thermodynamics (Bucharest: Editura Techica)
[5]
[6]	Chen L, Bi Y, Wu C 1999 J. Phys. D: Appl. Phys. 32 1346
[7]
[8]	Chen L, Wu C, Sun F 1999 J. Non-Equilibrium Thermod. 24 327
[9]
[10]
[11]	Guo Z Y, Zhu H Y, Liang X G 2007 Int. J. Heat Mass Trans. 50 2545
[12]	Guo Z Y, Cheng X G, Xia Z Z 2003 Chin. Sci. Bull. 48 406
[13]
[14]	Cheng X G, Li Z X, Guo Z Y 2003 J. Eng. Thermophy. 24 94 (in Chinese) [程新广、李志信、过增元 2003 工程热物理学报 24 94]
[15]
[16]
[17]	Zhu H Y, Chen Z J, Guo Z Y 2007 Prog. Nat. Sci. 17 1692 (in Chinese) [朱宏晔、陈泽敬、过增元 2007 自然科学进展 17 1692]
[18]	Chen L G, Wei S H, Sun F R 2008 J. Phys. D: Appl. Phys. 41 195506
[19]
[20]	Chen L G, Wei S H, Sun F R 2009 J. Appl. Phys. 105 094906
[21]
[22]
[23]	Xie Z H, Chen L G, Sun F R 2009 Sci. China E 52 3504
[24]	Wei S H, Chen L G, Sun F R 2009 Sci. China E 52 2981
[25]
[26]
[27]	Cheng X T, Xu X H, Liang X G 2009 Sci. China E 52 2937
[28]
[29]	Xiao Q H, Chen L G, Sun F R 2010 Chin. Sci. Bull. 55 3753
[30]	Chen Q, Ren J X 2008 Chin. Sci. Bull. 53 3753
[31]
[32]	Wu J, Cheng X G, Meng J A, Guo Z Y 2006 J. Eng. Thermophy. 27 100 (in Chinese) [吴晶、程新广、孟继安、过增元 2006 工程热物理学报 27 100]
[33]
[34]
[35]	Chen Q, Wang M R, Pan N, Guo Z Y 2009 Energy 34 1199
[36]
[37]	Xiao Q H, Chen L G, Sun F R 2010 Sci. China E 55 2427
[38]	Wu J, Liang X G 2008 Sci. China E 51 1306
[39]
[40]
[41]	Cheng X T, Liang X G 2011 Int. J. Heat Mass Transfer 54 269
[42]
[43]	Liu X B, Meng J A, Guo Z Y 2008 Prog. Nat. Sci. 18 1186
[44]	Liu X B, Guo Z Y 2009 Acta Phys. Sin. 58 4766 (in Chinese) [柳雄斌、过增元 2009 物理学报 58 4766]
[45]
[46]	Liu X B, Meng J A, Guo Z Y 2009 Chin. Sci. Bull. 54 943
[47]
[48]
[49]	Xia S J, Chen L G, Sun F R 2009 Chin. Sci. Bull. 54 3587
[50]
[51]	Guo J F, Cheng L, Xu M T 2009 Chin. Sci. Bull. 54 2708
[52]
[53]	Xia S J, Chen L G, Sun F R 2010 Sci. China E 53 960
[54]	Xie Y J, Shi Q W, Wang X P, Zhu P P, Yang H Y, Zhang X Y 2004 Acta Phys. Sin. 53 2796 (in Chinese) [谢永军、石勤伟、王晓平、朱平平、杨海洋、张兴元 2004 物理学报 53 2796]
[55]
[56]
[57]	Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. Sin. 58 8160 (in Chinese) [黄晓林、崔胜忠、宁新宝、卞春华 2009 物理学报 58 8160]
[58]	Zhao R, Zhang L C, Zhang S L 2007 Acta Phys. Sin. 56 3719 (in Chinese) [赵仁、张丽春、张胜利 2007 物理学报 56 3719]
[59]
[60]
[61]	Zhang C L, Hu S Q, Li H F, Zhao R 2008 Acta Phys. Sin. 57 3719 (in Chinese) [张丽春、胡双启、李怀繁、赵仁 2008 物理学报 57 3328]
[62]	Zeng X X 2010 Acta Phys. Sin. 59 92 (in Chinese) [曾晓雄 2010 物理学报 59 92]
[63]
[64]	Jin N D, Dong F, Zhao S 2007 Acta Phys. Sin. 56 720 (in Chinese) [金宁德、董芳、赵舒 2007 物理学报 56 720]
[65]
[66]
[67]	Guo Y F, Xu W, Li D X, Wang L 2010 Acta Phys. Sin. 59 2235 (in Chinese) [郭永峰、徐伟、李东喜、王亮 2010 物理学报 59 2235]
[68]
[69]	Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光、张增平2008 物理学报 57 1976]
[70]	Bejan A 1979 ASME J. Heat Transfer 101 718
[71]
[72]
[73]	Poulikakos D, Bejan A 1982 ASME J. Heat Transfer 104 616
[74]
[75]	Erek A, Dincer I 2008 Int. J. Thermal. Sci. 47 1077
[76]	Bejan A 1982 Adv. Heat Transfer 15 1
[77]
[78]
[79]	Shah R K, Skiepko T 2004 J. Heat Transfer 126 994
[80]
[81]	Cheng X T, Liang X G, Guo Z Y 2011 Chin. Sci. Bull. 56 222(in Chinese)[程雪涛、梁新刚、过增元 2011 科学通报 56 222]
[82]
[83]	Cheng X T, Liang X G, Xu X H 2011 Acta Phys. Sin. 60 060512 (in Chinese) [程雪涛、梁新刚、徐向华 2011 物理学报 60 060512]
[84]	Chen Q 2008 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese) [陈群 2008 博士学位论文 (北京:清华大学)]
[85]
[86]	Chen Q, Ren J X, Guo Z Y 2009 Chin. Sci. Bull. 54 1606 (in Chinese)[陈群、任建勋、过增元 2009 科学通报 54 1606]
[87]
[88]	Wang H D, Cao B Y, Guo Z Y 2010 Int. J. Heat Mass Transfer 53 1796
[89]

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