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等温节流过程积耗散最小化

夏少军 陈林根 戈延林 孙丰瑞

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等温节流过程积耗散最小化

夏少军, 陈林根, 戈延林, 孙丰瑞

Entransy dissiaption minimization for isothermal throttling process

Xia Shao-Jun, Chen Lin-Gen, Ge Yan-Lin, Sun Feng-Rui
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  • 对一类普适传质规律等温节流过程进行了研究, 应用最优控制理论导出了对应于过程质量积耗散最小时最优性条件, 然后基于普适优化结果导出了传质规律[g∝(Δ p)m]和线性传质规律[g∝Δ(μ)] 等各种特例下的优化结果, 并与熵产生最小、压力之比为常数和压力之差为常数等各种传质策略下的结果进行了比较, 给出了[g∝(Δp)1/2], [g∝Δ(p)]和[g∝Δ(μ)] 等各种特例下的数值算例. 本文的研究结果对于实际节流过程 和设备的最优设计与运行具有一定的理论指导意义.
    A class of isothermal throttling process with generalized mass transfer law is investigated, and the optimality condition for the minimum mass entransy dissipation of the process is obtained by applying optimal control theory. The results for special cases with mass transfer laws [g∝(Δp)m] and [g∝Δ(μ)] are further obtained based on the general optimization result, and the obtained results are also compared with other mass transfer strategies of the minimum entropy generation, constant pressure ratio and constant pressure difference. Numerical examples for the cases with the mass transfer laws [g∝(Δp)1/2], [g∝Δ(p)] and [g∝Δ(μ)] are also provided. The results obtained herein can provide some theoretical guidelines for the optimal design and operation of real throttling processes and devices.
    • 基金项目: 国家自然科学基金(批准号:51176203,10905093)和海军工程大学博士生创新基金(批准号:HGBSJJ-2011002)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51176203, 10905093) and the Innovation Foundation for the Doctor of Naval University of Engineering, China (Grant No. HGDBSJJ201102).
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    Andresen B, Salamon P, Berry R S 1977 J. Chem. Phys. 66 1571

    [2]

    Bejan A 1996 J. Appl. Phys. 79 1191

    [3]

    Bejan A 1996 Entropy Generation Minimization (Boca Raton FL: CRC Press)

    [4]

    Chen L, Wu C, Sun F 1999 J. Non-Equilib. Thermodyn. 22 327

    [5]

    Berry R S, Kazakov V A, Sieniutycz S, Szwast Z, Tsirlin A M 1999 Thermodynamic Optimization of Finite Time Processes (Chichester: Wiley)

    [6]

    Chen L G 2005 Finite-Time Thermodynamic Analysis of Irreversible Processes and Cycles (Beijing: Higher Education Press) (in Chinese) [陈林根 2005 不可逆过程和循环的有限时间热力学分析 (北京: 高等教育出版社)]

    [7]

    He J Z, Wang L, Li J B 2005 Acta Phys. Sin. 54 24 (in Chinese) [何济洲, 王磊, 李俊彬 2005 物理学报 54 24]

    [8]

    Wu F, Chen L G, Sun F R, Yu J Y 2008 Finite Time Thermodynamic Optimization for Stirling Machines (Beijing: Chemical Industry Press) (in Chinese) [吴锋, 陈林根, 孙丰瑞, 喻九阳 2008 斯特林机的有限时间热力学优化 (北京: 化学工业出版社)]

    [9]

    Andresen B 2011 Angew. Chem. Int. Ed. 50 2690

    [10]

    Lin G X, Chen J C 2011 J. Xiamen University (Natural Science) 50 227 (in Chinese) [林国星, 陈金灿 2011 厦门大学学报(自然科学版) 50 227]

    [11]

    He B X, He J Z, Miao G L 2011 Acta Phys. Sin. 60 040509 (in Chinese) [贺兵香, 何济洲, 缪贵玲 2011 物理学报 60 040509]

    [12]

    Tu Z C 2012 Chin. Phys. B 21 020513

    [13]

    Cheng H T, He J Z, Xiao Y L 2012 Acta Phys. Sin. 61 010502 (in Chinese) [程海涛, 何济洲, 肖宇玲 2012 物理学报 61 010502]

    [14]

    Li J, Chen L G, Ge Y L, Sun F R 2013 Acta Phys. Sin. 62 130501 (in Chinese) [李俊, 陈林根, 戈延林, 孙丰瑞 2013 物理学报 62 130501]

    [15]

    Bejan A 1977 Trans. ASME J. Heat Transf. 99 374

    [16]

    Badescu V 2004 J. Phys. D: Appl. Phys. 37 2298

    [17]

    Andresen B, Gordon J M 1992 J. Appl. Phys. 71 76

    [18]

    Tsirlin A M, Kazakov V, Kolinko N 2003 Eur. Phys. J. B 35 565

    [19]

    Badescu V 2004 J. Non-Equilib. Thermodyn. 29 53

    [20]

    Andresen B, Gordon J M 1992 Int. J. Heat Fluid Flow 13 294

    [21]

    Chen L G, Xia S J, Sun F R 2009 J. Appl. Phys. 105 044907

    [22]

    Xia S J, Chen L G, Sun F R 2009 Brazilian J. Phys. 39 98

    [23]

    Tsirlin A M, Kazakov V A, Berry R S 1994 J. Phys. Chem. 98 3330

    [24]

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    [25]

    Santoro M, Schon J C, Jansen M 2007 Phys. Rev. E 76 061120

    [26]

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    Tsirlin A M 2011 Optimization for Thermodynamic and Economic Systems (Moscow: Nauka) (in Russian)

    [32]

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    [33]

    Mironova V A, Amelkin S A, Tsirlin A M 2000 Mathematical Methods of Finite Time Thermodynamics (Moscow: Khimia) (in Russian)

    [34]

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

    [35]

    Guo Z Y 2008 J. Eng. Thermophys. 29 112 (in Chinese) [过增元 2008 工程热物理学报 29 112]

    [36]

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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]

    [40]

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    [41]

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    [42]

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    [46]

    Xie Z H, Chen L G, Sun F R 2009 Chin. Sci. Bull. 54 4418

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    Xu M T, Guo J F, Cheng L 2009 Front. Energy Power Eng. China 3 402

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    Liu W, Liu Z C, Jia H, Fan A W, Nakayama A 2011 Int. J. Heat Mass Transf. 53 3049

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    Cheng X T, Zhang Q Z, Xu X H, Liang X G 2013 Chin. Phys. B 22 02503

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    [57]

    Li Z X, Guo Z Y 2010 Field Synergy Theory for Convective Heat Transfer Optimization (Beijing: Science Press) (in Chinese) [李志信, 过增元 2010 对流传热优化的场协同理论 (北京: 科学出版社)]

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    Wu J, Cheng X T 2013 Int. J. Heat Mass Transf. 58 374

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

    [63]

    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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    Guo J F, Xu M T, Cheng L 2010 Sci. China E: Tech. Sci. 53 1309

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    Guo Z Y, Liu X B, Tao W Q, Shah R K 2010 Int. J. Heat Mass Transf. 53 2877

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出版历程
  • 收稿日期:  2013-05-04
  • 修回日期:  2013-06-18
  • 刊出日期:  2013-09-05

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