搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

非平衡热力学中传热过程熵产表达式的修正

董源 过增元

引用本文:
Citation:

非平衡热力学中传热过程熵产表达式的修正

董源, 过增元

The modification of entropy production by heat condution in non-equilibrium thermodynamics

Dong Yuan, Guo Zeng-Yuan
PDF
导出引用
  • 熵产是非平衡热力学中的核心物理量,传统上表示为广义力(驱动力)与广义流的乘积.这种表达存在两方面缺陷:一是广义力与广义流的拆分具有任意性;更重要的是,以其计算热波传递时熵产可以为负值,从而违反热力学第二定律.本文基于热质理论分析表明,传热过程的熵产实质上是由热质流体的热质能耗散引起的,所以熵产中的力不是驱动力而是阻力,并且具有力的量纲.由此提出的熵产修正表达式,不仅在计算热波传递过程中熵产恒为正值,与扩展不可逆热力学中的熵产表达式一致,而且不存在力和流拆分的任意性.
    The entropy production is expressed as the product of the generalized force (driving force) and generalized flux, which plays a central role in classical non-equilibrium thermodynamics. This expression has shortcomings in two aspects: first, the decomposition into generalized fluxes and forces is arbitrary to some extent; more importantly, the entropy production is negative value calculated in heat wave propagation, which breaks the second law. In this paper, we carry out analyses based on the thermomass theory and show that the entropy production is induced by the dissipation of thermomass energy during heat condution. The generalized force of entropy production is not driving force but resistive force, having a unit of force in Newton’s mechanics. The modified expression for entropy production not only guarantees its positiveness in propagation of heat waves consistent with the extended irreversible thermodynamics, but also avoids the arbitrariness of decomposition.
    • 基金项目: 国家自然科学基金(批准号: 51076080, 51136001)和清华大学自主科研计划资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51076080, 51136001) and the Tsinghua University Initiative Scientific Research Program of China.
    [1]

    Kreuzer H J 1981 Nonequilibrium Thermodynamics and Its Statistical Foundations (New York: Oxford University Press)

    [2]

    Jou D, Casas-Vazquez J, Lebon G 2010 Extended Irreversible Thermodynamics (4th Ed) (New York: Springer)

    [3]

    Groot S R, Mazur P 1984 Non-Equilibrium Thermodynamics (New York: Dover Publications)

    [4]

    Zeng D L 1991 Engineering Non-Equilibrium Thermodynamics (Beijing: Science Press) (in Chinese) [曾丹苓 1991 工程非平衡热动力学 (北京: 科学出版社)]

    [5]

    Grandy Jr W T 2008 Entropy and the Time Evolution of Macroscopic Systems (New York: Oxford University Press)

    [6]

    Onsager L 1931 Phys. Rev. 37 405

    [7]

    Casimir H B G 1945 Rev. Mod. Phys. 17 343

    [8]

    Glansdorf P, Prigogine I 1971 Thermodynamic Theory of Structure, Stability and Fluctuations (New York: Wiley)

    [9]

    Lebon G, Casas-Vazquez J, Jou D 2008 Understanding Non- Equilibrium Thermodynamics: Foundations, Applications, Frontiers (Berlin: Springer-Verlag)

    [10]

    Stritzker B, Pospieszczyk A, Tagle J A 1981 Phys. Rev. Lett. 47 356

    [11]

    Torii S, Yang W J 2005 Int. J. Heat Mass Trans. 48 537

    [12]

    Guo Z Y, Xu Y S 1995 J. Electron. Packaging 117 174

    [13]

    Cattaneo C 1948 Atti. Sem. Mat. Fis. Univ. Modena 3 83

    [14]

    Vernotte P 1958 C. R. Acad. Sci 246 3154

    [15]

    Morse P M, Feshbach H 1953 Methods of Theoretical Physics (New York: McGraw-Hill)

    [16]

    Tzou D Y 1989 J. Heat Trans. 111 232

    [17]

    Tzou D Y 1992 Thermal shock phenomena under high-rate response in solids in: Tien C L (Ed) Annual Review of Heat Transfer IV (Whashington DC: Hemisphere) Chapter 3 pp 111–185

    [18]

    Tzou D Y 1997 Macro- to Microscale Heat Transfer: The Lagging Behavior (Whashington DC: Taylor & Francis)

    [19]

    Criado-Sancho M, Llebot J E 1993 Phys. Rev. E 47 4104

    [20]

    Al-Nimr M A, Naji M, Arbaci V S 2000 J. Heat Trans. 122 217

    [21]

    Jou D, Casas-Vazquez J, Lebon G 1999 Rep. Pro. Phys. 62 1035

    [22]

    Müller I 1985 Thermodynamics (London: Pitman)

    [23]

    Sieniutycz S, Salamon P 1992 Extended Thermodynamic System (New York: Taylor and Francis)

    [24]

    Barletta A, Zanchini E 1997 Int. J. Heat Mass Trans. 40 1007

    [25]

    Jou D, Casas-Vazquez J, Lebon G 2008 Proceedings of the Estonian Academy of Sciences 57 118

    [26]

    Cao B Y, Guo Z Y 2007 J. Appl. Phys. 102 53503

    [27]

    Guo Z Y, Hou Q W 2010 ASME J. Heat Trans. 132 072403

    [28]

    Wang H D, Cao B Y, Guo Z Y 2010 Int. J. Heat Mass Trans. 53 1796

    [29]

    Song B,Wu J, Guo Z Y 2010 Acta Phys. Sin. 59 7129 (in Chinese) [宋柏,吴晶,过增元 2010 59 7129]

    [30]

    Guo Z Y, Cao B Y 2008 Acta Phys. Sin. 57 4273 (in Chinese) [过增元,曹炳阳 2008 57 4273]

    [31]

    Hou Q W, Cao B Y, Guo Z Y 2009 Acta Phys. Sin. 58 7809 (in Chinese) [侯泉文,曹炳阳,过增元 2009 58 7809]

    [32]

    Guo Z Y, Cao B Y, Zhu H Y, Zhang Q G 2007 Acta Phys. Sin. 56 3306 (in Chinese) [过增元,曹炳阳,朱宏晔,张清光 2007 56 3306]

  • [1]

    Kreuzer H J 1981 Nonequilibrium Thermodynamics and Its Statistical Foundations (New York: Oxford University Press)

    [2]

    Jou D, Casas-Vazquez J, Lebon G 2010 Extended Irreversible Thermodynamics (4th Ed) (New York: Springer)

    [3]

    Groot S R, Mazur P 1984 Non-Equilibrium Thermodynamics (New York: Dover Publications)

    [4]

    Zeng D L 1991 Engineering Non-Equilibrium Thermodynamics (Beijing: Science Press) (in Chinese) [曾丹苓 1991 工程非平衡热动力学 (北京: 科学出版社)]

    [5]

    Grandy Jr W T 2008 Entropy and the Time Evolution of Macroscopic Systems (New York: Oxford University Press)

    [6]

    Onsager L 1931 Phys. Rev. 37 405

    [7]

    Casimir H B G 1945 Rev. Mod. Phys. 17 343

    [8]

    Glansdorf P, Prigogine I 1971 Thermodynamic Theory of Structure, Stability and Fluctuations (New York: Wiley)

    [9]

    Lebon G, Casas-Vazquez J, Jou D 2008 Understanding Non- Equilibrium Thermodynamics: Foundations, Applications, Frontiers (Berlin: Springer-Verlag)

    [10]

    Stritzker B, Pospieszczyk A, Tagle J A 1981 Phys. Rev. Lett. 47 356

    [11]

    Torii S, Yang W J 2005 Int. J. Heat Mass Trans. 48 537

    [12]

    Guo Z Y, Xu Y S 1995 J. Electron. Packaging 117 174

    [13]

    Cattaneo C 1948 Atti. Sem. Mat. Fis. Univ. Modena 3 83

    [14]

    Vernotte P 1958 C. R. Acad. Sci 246 3154

    [15]

    Morse P M, Feshbach H 1953 Methods of Theoretical Physics (New York: McGraw-Hill)

    [16]

    Tzou D Y 1989 J. Heat Trans. 111 232

    [17]

    Tzou D Y 1992 Thermal shock phenomena under high-rate response in solids in: Tien C L (Ed) Annual Review of Heat Transfer IV (Whashington DC: Hemisphere) Chapter 3 pp 111–185

    [18]

    Tzou D Y 1997 Macro- to Microscale Heat Transfer: The Lagging Behavior (Whashington DC: Taylor & Francis)

    [19]

    Criado-Sancho M, Llebot J E 1993 Phys. Rev. E 47 4104

    [20]

    Al-Nimr M A, Naji M, Arbaci V S 2000 J. Heat Trans. 122 217

    [21]

    Jou D, Casas-Vazquez J, Lebon G 1999 Rep. Pro. Phys. 62 1035

    [22]

    Müller I 1985 Thermodynamics (London: Pitman)

    [23]

    Sieniutycz S, Salamon P 1992 Extended Thermodynamic System (New York: Taylor and Francis)

    [24]

    Barletta A, Zanchini E 1997 Int. J. Heat Mass Trans. 40 1007

    [25]

    Jou D, Casas-Vazquez J, Lebon G 2008 Proceedings of the Estonian Academy of Sciences 57 118

    [26]

    Cao B Y, Guo Z Y 2007 J. Appl. Phys. 102 53503

    [27]

    Guo Z Y, Hou Q W 2010 ASME J. Heat Trans. 132 072403

    [28]

    Wang H D, Cao B Y, Guo Z Y 2010 Int. J. Heat Mass Trans. 53 1796

    [29]

    Song B,Wu J, Guo Z Y 2010 Acta Phys. Sin. 59 7129 (in Chinese) [宋柏,吴晶,过增元 2010 59 7129]

    [30]

    Guo Z Y, Cao B Y 2008 Acta Phys. Sin. 57 4273 (in Chinese) [过增元,曹炳阳 2008 57 4273]

    [31]

    Hou Q W, Cao B Y, Guo Z Y 2009 Acta Phys. Sin. 58 7809 (in Chinese) [侯泉文,曹炳阳,过增元 2009 58 7809]

    [32]

    Guo Z Y, Cao B Y, Zhu H Y, Zhang Q G 2007 Acta Phys. Sin. 56 3306 (in Chinese) [过增元,曹炳阳,朱宏晔,张清光 2007 56 3306]

  • [1] 全海涛, 董辉, 孙昌璞. 介观统计热力学理论与实验.  , 2023, 72(23): 230501. doi: 10.7498/aps.72.20231608
    [2] 王子, 任捷. 周期驱动系统的非平衡热输运与热力学几何.  , 2021, 70(23): 230503. doi: 10.7498/aps.70.20211723
    [3] 范航, 何冠松, 杨志剑, 聂福德, 陈鹏万. 三氨基三硝基苯基高聚物粘结炸药热力学性质的理论计算研究.  , 2019, 68(10): 106201. doi: 10.7498/aps.68.20190075
    [4] 张荣, 卢灿灿, 李倩文, 刘伟, 白龙. 线性不可逆热力学框架下一个无限尺寸热源而有限尺寸冷源的制冷机的性能分析.  , 2018, 67(4): 040502. doi: 10.7498/aps.67.20172010
    [5] 夏舸, 杨立, 寇蔚, 杜永成. 基于变换热力学的三维任意形状热斗篷设计.  , 2017, 66(10): 104401. doi: 10.7498/aps.66.104401
    [6] 孙其诚. 颗粒介质的结构及热力学.  , 2015, 64(7): 076101. doi: 10.7498/aps.64.076101
    [7] 李廷华, 毛福春, 黄铭, 杨晶晶, 陈俊昌. 基于变换热力学的任意形状热集中器研究与设计.  , 2014, 63(5): 054401. doi: 10.7498/aps.63.054401
    [8] 程雪涛, 梁新刚. (火积)理论在热功转换过程中的应用探讨.  , 2014, 63(19): 190501. doi: 10.7498/aps.63.190501
    [9] 刘中淼, 孙其诚, 宋世雄, 史庆藩. 准静态颗粒流流动规律的热力学分析.  , 2014, 63(3): 034702. doi: 10.7498/aps.63.034702
    [10] 柳雄斌, 过增元. 换热器性能分析新方法.  , 2009, 58(7): 4766-4771. doi: 10.7498/aps.58.4766
    [11] 王红艳, 段文山. 对含有非热力学平衡离子的尘埃等离子体中孤波特性的理论研究.  , 2007, 56(7): 3977-3983. doi: 10.7498/aps.56.3977
    [12] 宋海峰, 刘海风. 金属铍热力学性质的理论研究.  , 2007, 56(5): 2833-2837. doi: 10.7498/aps.56.2833
    [13] 刘玮书, 张波萍, 李敬锋, 刘 静. 机械合金化合成CoSb3过程中的固相反应机理的热力学解释.  , 2006, 55(1): 465-471. doi: 10.7498/aps.55.465
    [14] 沈惠川. 分析热力学的应用:平衡态热力学中温度的相对论变换.  , 2005, 54(6): 2482-2488. doi: 10.7498/aps.54.2482
    [15] 林 海. 满足热力学第三定律的修正的黑洞的熵公式.  , 2000, 49(8): 1413-1415. doi: 10.7498/aps.49.1413
    [16] 李富斌. 非平衡涨落问题的微观唯象分析理论(Ⅰ)——一种新的广义不可逆热力学理论与热涨落中涨落—耗散表示式的非平衡修正.  , 1989, 38(9): 1467-1474. doi: 10.7498/aps.38.1467
    [17] 徐继海. CeCu2Si2和UBe13的超导理论(Ⅱ)——热力学量的计算.  , 1988, 37(1): 111-118. doi: 10.7498/aps.37.111
    [18] 孟宪振, 蒲富恪. 热力学的推迟格临函数对铁磁共振峰宽理论的应用.  , 1961, 17(5): 214-221. doi: 10.7498/aps.17.214
    [19] 程开甲;李正中. 内耗的热力学研究_代位合金在有序或无序态的内耗理论.  , 1956, 12(4): 281-297. doi: 10.7498/aps.12.281
    [20] 程开甲. 内耗的热力学研究(Ⅰ).  , 1955, 11(2): 163-178. doi: 10.7498/aps.11.163
计量
  • 文章访问数:  9355
  • PDF下载量:  903
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-03-09
  • 修回日期:  2011-05-18
  • 刊出日期:  2012-03-15

/

返回文章
返回
Baidu
map