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积与积减原理

程雪涛 董源 梁新刚

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积与积减原理

程雪涛, 董源, 梁新刚

Potential entransy and potential entransy decrease principle

Cheng Xue-Tao, Dong Yuan, Liang Xin-Gang
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  • 文章分析了重力势能、引力势能、电荷势能、化学势能、热量势能、质量积、动量积等多种势能,发现它们均可表达为一种守恒广延量和对应的强度量的乘积,因此可将其统一定义为积.基于积这一概念,文章得到了孤立系统内守恒广延量传递过程的积减原理,即孤立系统内进行的守恒广延量传递过程中系统的积总是减小的.进一步,文章还基于积的概念发展了孤立系统和封闭系统的势平衡判据,发现孤立系统达到势平衡状态时,系统的积达到最小值(最小积原理);当封闭系统达到势平衡状态时,系统的准自由积达到最小值(最小准自由积原理).上述结论应用于传热学中即可得到热量传递过程的(火积)减原理及相应的热平衡判据.与热力学中的核心概念熵相对应,由于物理量(火积)可以描述传热过程的不可逆性,作为传热过程的优化准则,度量系统的无序度,并给出系统的热平衡判据,因此(火积)是传热学中的核心概念.
    In this paper, we analyze some kinds of potential energies, such as the geopotential energy, the electrostatic potential energy, the chemical potential energy, the mass entransy and so on. It is found that they all can be expressed as the product of a conservative extensive quantity and an intensity quantity. This kind of potential energy is named potential entransy. Based on the concept of potential entransy, the potential entransy decrease principle is developed. It is found that the potential entransy of an isolated system always decreases when the extensive quantity is transferred in the system. Furthermore, the criteria of equilibrium state for an isolated system and a common closed system are derived on the basis of the concept of potential entransy. It is found that when an isolated system reaches its equilibrium state, its potential entransy is a minimum value. When a common closed system reaches its equilibrium state, its quasi-free potential entransy is also a minimum value. In addition, when a closed system with prescribed potential is in its equilibrium state, its free potential entransy is also a minimum value. When the principles above are used in heat transfer, the entransy decrease principle for heat transfer and the thermal equilibrium criteria can be developed. We think that the new physical quantity, entransy in heat transfer, is the core concept of the subject, because it can be used to describe the irreversibility of heat transfer, optimize heat transfer processes, measure the disorder degree of one system, and set up the thermal equilibrium criteria.
    • 基金项目: 清华大学自主科研计划和国家自然科学基金重点项目(批准号:51136001)资助的课题.
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    Erek A, Dincer I 2008 Int. J. Thermal Sci. 47 1077

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    Guo Z Y, Zhu H Y, Liang X G 2007 Int. J. Heat Mass Transfer 50 2545

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    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]

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    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]

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    Chen Q, Ren J X, Guo Z Y 2009 Chin. Sci. Bull. 54 2862

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    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)]

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    Wu J 2009 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese)[吴 晶 2009 博士学位论文 (北京:清华大学)]

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    Han G Z, Guo Z Y 2007 Pro. of the CSEE 27 98 (in Chinese)[韩光泽、过增元 2007 中国电机工程学报 27 98]

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    [24]

    Chen L G, Wei S H, Sun F R 2008 J. Physics D: Appl. Phys. 41 195506

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    Chen L G, Wei S H, Sun F R 2009 J. Appl. Phys. 105 094906

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    Xie Z H, Chen L G, Sun F R 2009 Sci. China Ser. E-Tech. Sci. 52 3504

    [27]

    Wei S H, Chen L G, Sun F R 2009 Sci. China Ser. E-Tech. Sci. 52 2981

    [28]

    Cheng X T, Xu X H, Liang X G 2009 Sci. China Ser. E-Tech. Sci. 52 2937

    [29]

    Wu J, Cheng X G, Meng J A, Guo Z Y 2006 J. Eng. Thermophysics 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]

    [30]

    Chen Q, Ren J X 2008 Chin. Sci. Bull. 53 3753

    [31]

    Chen Q, Ren J X, Guo Z Y 2008 Int. J. Heat Mass Transfer 51 873

    [32]

    Chen Q, Wang M R, Pan N, Guo Z Y 2009 Energy 34 1199

    [33]

    Wu J, Liang X G 2008 Sci. China Ser. E-Tech. Sci. 51 1306

    [34]

    Cheng X T, Liang X G 2011 Int. J. Heat Mass Transfer 54 269

    [35]

    Liu X B, Meng J A, Guo Z Y 2008 Prog. Nat. Sci. 18 1186

    [36]

    Liu X B, Meng J A, Guo Z Y 2009 Chin. Sci. Bull. 54 943

    [37]

    Xia S J, Chen L G, Sun F R 2009 Chin. Sci. Bull. 54 3587

    [38]

    Guo J F, Cheng L, Xu M T 2009 Chin. Sci. Bull. 54 2708

    [39]

    Xia S J, Chen L G, Sun F R 2010 Sci. China Ser. E-Tech. Sci. 53 960

    [40]

    Zeng D L, Ao Y, Zhu K X, Li Q R 1986 The Eengineering Thermodynamics (Beijing: Higher Education Press) (in Chinese)[曾丹苓、敖 越、朱克雄、李清荣 1986 工程热力学 (北京: 高等教育出版社)]

  • [1]

    Zhao K H, Luo W Y 2002 Thermotics (Beijing: Higher Education Press) p1-222 (in Chinese)[赵凯华、罗蔚茵 2002 热学 (北京: 高等教育出版社) 第1-222页]

    [2]

    Feng D, Feng S T 2008 The World of Entropy (Beijing: Science Press) p104-160 (in Chinese)[冯 端、冯少彤 2008 溯源探微熵的世界 (北京:科学出版社) 第104-160页]

    [3]

    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]

    [4]

    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]

    [5]

    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]

    [6]

    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]

    [7]

    Bejan A 1979 ASME J. Heat Transfer 101 718

    [8]

    Poulikakos D, Bejan A 1982 ASME J. Heat Transfer 104 616

    [9]

    Erek A, Dincer I 2008 Int. J. Thermal Sci. 47 1077

    [10]

    Shah R K, Skiepko T 2004 J. Heat Transfer 126 994

    [11]

    Finlayson B A, Scriven L E 1967 Int. J. Heat Mass Transfer 10 799

    [12]

    Bejan A 1998 Advanced Engineering Thermodynamics (New York: Wiley)

    [13]

    Guo Z Y, Zhu H Y, Liang X G 2007 Int. J. Heat Mass Transfer 50 2545

    [14]

    Cheng X G 2004 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese)[程新广 2004 博士学位论文 (北京:清华大学)]

    [15]

    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]

    [16]

    Cheng X T, Liang X G, Guo Z Y Chin. Sci. Bull. (in Press)

    [17]

    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]

    [18]

    Chen Q, Ren J X, Guo Z Y 2009 Chin. Sci. Bull. 54 2862

    [19]

    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)]

    [20]

    Wu J 2009 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese)[吴 晶 2009 博士学位论文 (北京:清华大学)]

    [21]

    Zhang S H 1998 College Physics: Mechanics (Beijing: Tsinghua University Press) p192-195 (in Chinese)[张三慧 1998 大学物理学:力学 (北京:清华大学出版社) 第192-195页]

    [22]

    Han G Z, Guo Z Y 2007 Pro. of the CSEE 27 98 (in Chinese)[韩光泽、过增元 2007 中国电机工程学报 27 98]

    [23]

    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]

    [24]

    Chen L G, Wei S H, Sun F R 2008 J. Physics D: Appl. Phys. 41 195506

    [25]

    Chen L G, Wei S H, Sun F R 2009 J. Appl. Phys. 105 094906

    [26]

    Xie Z H, Chen L G, Sun F R 2009 Sci. China Ser. E-Tech. Sci. 52 3504

    [27]

    Wei S H, Chen L G, Sun F R 2009 Sci. China Ser. E-Tech. Sci. 52 2981

    [28]

    Cheng X T, Xu X H, Liang X G 2009 Sci. China Ser. E-Tech. Sci. 52 2937

    [29]

    Wu J, Cheng X G, Meng J A, Guo Z Y 2006 J. Eng. Thermophysics 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]

    [30]

    Chen Q, Ren J X 2008 Chin. Sci. Bull. 53 3753

    [31]

    Chen Q, Ren J X, Guo Z Y 2008 Int. J. Heat Mass Transfer 51 873

    [32]

    Chen Q, Wang M R, Pan N, Guo Z Y 2009 Energy 34 1199

    [33]

    Wu J, Liang X G 2008 Sci. China Ser. E-Tech. Sci. 51 1306

    [34]

    Cheng X T, Liang X G 2011 Int. J. Heat Mass Transfer 54 269

    [35]

    Liu X B, Meng J A, Guo Z Y 2008 Prog. Nat. Sci. 18 1186

    [36]

    Liu X B, Meng J A, Guo Z Y 2009 Chin. Sci. Bull. 54 943

    [37]

    Xia S J, Chen L G, Sun F R 2009 Chin. Sci. Bull. 54 3587

    [38]

    Guo J F, Cheng L, Xu M T 2009 Chin. Sci. Bull. 54 2708

    [39]

    Xia S J, Chen L G, Sun F R 2010 Sci. China Ser. E-Tech. Sci. 53 960

    [40]

    Zeng D L, Ao Y, Zhu K X, Li Q R 1986 The Eengineering Thermodynamics (Beijing: Higher Education Press) (in Chinese)[曾丹苓、敖 越、朱克雄、李清荣 1986 工程热力学 (北京: 高等教育出版社)]

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出版历程
  • 收稿日期:  2010-12-20
  • 修回日期:  2011-01-11
  • 刊出日期:  2011-11-15

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