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

等温节流过程积耗散最小化

夏少军 陈林根 戈延林 孙丰瑞

引用本文:
Citation:

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
PDF
导出引用
  • 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).
    [1]

    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]

    Gordon J M, Rubinstein I, Zarmi Y 1990 J. Appl. Phys. 67 81

    [25]

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

    [26]

    Mironova V A 1994 Chimicheskaia Promis Hlennost 4 51

    [27]

    Bi Y H, Chen L G, Sun F R 2012 Int. J. Energy Res. 36 269

    [28]

    Tsirlin A M 1997 Methods of Averaging Optimization and Their Application (Moscow: Physical and Mathematical Literature Publishing Company) (in Russian)

    [29]

    Tsirlin A M 2002 Optimization Methods in Thermodynamics and Microeconomics (Moscow: Nauka) (in Russian)

    [30]

    Tsirlin A M 2003 Irreversible Estimates of Limiting Possibilities of Thermodynamic and Microeconomic Systems (Moscow: Nauka) (in Russian)

    [31]

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

    [32]

    Tsirlin A M, Mironova V A, Amelkin S A, Kazakov V A 1998 Phys. Rev. E 58 215

    [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]

    Guo Z Y, Liang X G, Zhu H Y 2006 Prog. Nat. Sci. 16 1288 (in Chinese) [过增元, 梁新刚, 朱宏晔 2006 自然科学进展 16 1288]

    [37]

    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]

    [38]

    Hu G J, Guo Z Y 2011 J. Eng. Thermophys. 32 1005 (in Chinese) [胡帼杰, 过增元 2011 工程热物理学报 32 1005]

    [39]

    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]

    Hu G J, Cao B Y, Guo Z Y 2011 Chin. Sci. Bull. 56 2974

    [41]

    Xu M T 2012 Energy 44 973

    [42]

    Guo Z Y, Cheng X G, Xia Z Z 2003 Chin. Sci. Bull. 48 406

    [43]

    Han G Z, Guo Z Y 2006 J. Eng. Thermophys. 27 811 (in Chinese) [韩光泽, 过增元 2006 工程热物理学报 27 811]

    [44]

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

    [45]

    Chen L G, Wei S H, Sun F R 2009 J. Appl. Phys. 105 94906

    [46]

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

    [47]

    Ge L, Xu M T, Cheng L 2011 J. Eng. Thermophys. 32 993 (in Chinese) [葛亮, 许明田, 程林 2011 工程热物理学报 32 993]

    [48]

    Chen L G 2012 Sci. China: Tech. Sci. 55 802

    [49]

    Chen L G, Feng H J, Xie Z H, Sun F R 2013 Acta Phys. Sin. 62 134401 (in Chinese) [陈林根, 冯辉君, 谢志辉, 孙丰瑞 2013 物理学报 62 134401]

    [50]

    Feng H J, Chen L G, Xie Z H, Sun F R 2013 Acta Phys. Sin. 62 134703 (in Chinese) [冯辉君, 陈林根, 谢志辉, 孙丰瑞 2013 物理学报 62 134703]

    [51]

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

    [52]

    Wang S P, Chen Q L, Zhang B J 2009 Chin. Sci. Bull. 54 3572

    [53]

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

    [54]

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

    [55]

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

    [56]

    Li Z X, Guo Z Y 2011 Advances Transp. Phenom. 2 1

    [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)]

    [58]

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

    [59]

    Cheng X T, Xu X H, Liang X G 2010 J. Eng. Thermophys. 31 1031 (in Chinese) [程雪涛, 徐向华, 梁新刚 2010 工程热物理学报 31 1031]

    [60]

    Cheng X T, Liang X G 2012 J. Eng. Thermophys. 33 311 (in Chinese) [程雪涛, 梁新刚 2012 工程热物理学报 33 311]

    [61]

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

    [62]

    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]

    [64]

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

    [65]

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

    [66]

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

    [67]

    Xia S J, Chen L G, Sun F R 2010 Appl. Math. Model. 34 2242

    [68]

    Guo J F, Xu M T 2012 Appl. Thermal Eng. 36 227

    [69]

    Guo J F, Huai X L 2012 Energy 41 335

    [70]

    Wang W H, Cheng X T, Liang X G 2013 Sci. China E: Tech. Sci. 56 529

    [71]

    Cheng X T, Liang X G 2012 Energy 44 964

    [72]

    Zhou B, Cheng X T, Liang X G 2013 Sci. China E: Tech. Sci. 56 228

    [73]

    Chen L G 2012 Chin. Sci. Bull. 57 4404

    [74]

    Chen Q, Liang X G, Guo Z Y 2013 Int. J. Heat Mass Transf. 63 65

    [75]

    Chen Q, Meng J A 2008 Int. J. Heat Mass Transf. 51 2863

    [76]

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

    [77]

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

    [78]

    Jiang Y, Liu X H, Xie X Y 2011 Heating Ventilating & Air Conditioning 41 1 (in Chinese) [江亿, 刘晓华, 谢晓云 2011 暖通空调 41 1]

    [79]

    Jiang Y, Xie X Y, Liu X H 2011 Heating Ventilating & Air Conditioning 41 51 (in Chinese) [江亿, 谢晓云, 刘晓华 2011 暖通空调 41 51]

    [80]

    Liu X H, Jiang Y, Zhang T, Zhang L 2011 Heating Ventilating & Air Conditioning 41 29 (in Chinese) [刘晓华, 江亿, 张涛, 张伦 2011 暖通空调 41 29]

    [81]

    Zhang T, Liu X H, Zhang L, Jiang Y 2012 Energy Convers. Manage. 59 103

    [82]

    Chen L, Chen Q, Li Z, Guo Z Y 2010 Chin. Sci. Bull. 55 1445

    [83]

    Chen Q, Yang K, Wang M R, Pan N, Guo Z Y 2010 Energy 35 2448

    [84]

    Chen Q, Pan N, Guo Z Y 2011 Energy 36 2890

    [85]

    Yuan F, Chen Q 2012 Chin. Sci. Bull. 57 687

    [86]

    Yuan F, Chen Q 2012 Energy 42 181

    [87]

    Xia S J, Chen L G, Sun F R 2011 Sci. China E: Tech. Sci. 53 352

    [88]

    Xia S J, Chen L G, Sun F R 2012 Scientia Iranica, Trans. C: Chem. Eng. 19 1616

    [89]

    Cheng X T, Xu X H, Liang X G 2011 Acta Phys. Sin. 60 118103 (in Chinese) [程雪涛, 徐向华, 梁新刚 2011 物理学报 60 118103]

    [90]

    Cheng X T, Dong Y, Liang X G 2011 Acta Phys. Sin. 60 114402 (in Chinese) [程雪涛, 董源, 梁新刚 2011 物理学报 60 114402]

    [91]

    Chen L G 2013 J. Naval Univ. Engin. 25 1 (in Chinese) [陈林根 2013 海军工程大学学报 25 1]

    [92]

    Shen W D, Tong J G 2007 Engineering Thermodynamics (Beijing: Higher Education Press) (in Chinese) [沈维道, 童均耕 2007 工程热力学 (北京: 高等教育出版社)]

    [93]

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

  • [1]

    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]

    Gordon J M, Rubinstein I, Zarmi Y 1990 J. Appl. Phys. 67 81

    [25]

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

    [26]

    Mironova V A 1994 Chimicheskaia Promis Hlennost 4 51

    [27]

    Bi Y H, Chen L G, Sun F R 2012 Int. J. Energy Res. 36 269

    [28]

    Tsirlin A M 1997 Methods of Averaging Optimization and Their Application (Moscow: Physical and Mathematical Literature Publishing Company) (in Russian)

    [29]

    Tsirlin A M 2002 Optimization Methods in Thermodynamics and Microeconomics (Moscow: Nauka) (in Russian)

    [30]

    Tsirlin A M 2003 Irreversible Estimates of Limiting Possibilities of Thermodynamic and Microeconomic Systems (Moscow: Nauka) (in Russian)

    [31]

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

    [32]

    Tsirlin A M, Mironova V A, Amelkin S A, Kazakov V A 1998 Phys. Rev. E 58 215

    [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]

    Guo Z Y, Liang X G, Zhu H Y 2006 Prog. Nat. Sci. 16 1288 (in Chinese) [过增元, 梁新刚, 朱宏晔 2006 自然科学进展 16 1288]

    [37]

    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]

    [38]

    Hu G J, Guo Z Y 2011 J. Eng. Thermophys. 32 1005 (in Chinese) [胡帼杰, 过增元 2011 工程热物理学报 32 1005]

    [39]

    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]

    Hu G J, Cao B Y, Guo Z Y 2011 Chin. Sci. Bull. 56 2974

    [41]

    Xu M T 2012 Energy 44 973

    [42]

    Guo Z Y, Cheng X G, Xia Z Z 2003 Chin. Sci. Bull. 48 406

    [43]

    Han G Z, Guo Z Y 2006 J. Eng. Thermophys. 27 811 (in Chinese) [韩光泽, 过增元 2006 工程热物理学报 27 811]

    [44]

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

    [45]

    Chen L G, Wei S H, Sun F R 2009 J. Appl. Phys. 105 94906

    [46]

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

    [47]

    Ge L, Xu M T, Cheng L 2011 J. Eng. Thermophys. 32 993 (in Chinese) [葛亮, 许明田, 程林 2011 工程热物理学报 32 993]

    [48]

    Chen L G 2012 Sci. China: Tech. Sci. 55 802

    [49]

    Chen L G, Feng H J, Xie Z H, Sun F R 2013 Acta Phys. Sin. 62 134401 (in Chinese) [陈林根, 冯辉君, 谢志辉, 孙丰瑞 2013 物理学报 62 134401]

    [50]

    Feng H J, Chen L G, Xie Z H, Sun F R 2013 Acta Phys. Sin. 62 134703 (in Chinese) [冯辉君, 陈林根, 谢志辉, 孙丰瑞 2013 物理学报 62 134703]

    [51]

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

    [52]

    Wang S P, Chen Q L, Zhang B J 2009 Chin. Sci. Bull. 54 3572

    [53]

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

    [54]

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

    [55]

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

    [56]

    Li Z X, Guo Z Y 2011 Advances Transp. Phenom. 2 1

    [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)]

    [58]

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

    [59]

    Cheng X T, Xu X H, Liang X G 2010 J. Eng. Thermophys. 31 1031 (in Chinese) [程雪涛, 徐向华, 梁新刚 2010 工程热物理学报 31 1031]

    [60]

    Cheng X T, Liang X G 2012 J. Eng. Thermophys. 33 311 (in Chinese) [程雪涛, 梁新刚 2012 工程热物理学报 33 311]

    [61]

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

    [62]

    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]

    [64]

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

    [65]

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

    [66]

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

    [67]

    Xia S J, Chen L G, Sun F R 2010 Appl. Math. Model. 34 2242

    [68]

    Guo J F, Xu M T 2012 Appl. Thermal Eng. 36 227

    [69]

    Guo J F, Huai X L 2012 Energy 41 335

    [70]

    Wang W H, Cheng X T, Liang X G 2013 Sci. China E: Tech. Sci. 56 529

    [71]

    Cheng X T, Liang X G 2012 Energy 44 964

    [72]

    Zhou B, Cheng X T, Liang X G 2013 Sci. China E: Tech. Sci. 56 228

    [73]

    Chen L G 2012 Chin. Sci. Bull. 57 4404

    [74]

    Chen Q, Liang X G, Guo Z Y 2013 Int. J. Heat Mass Transf. 63 65

    [75]

    Chen Q, Meng J A 2008 Int. J. Heat Mass Transf. 51 2863

    [76]

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

    [77]

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

    [78]

    Jiang Y, Liu X H, Xie X Y 2011 Heating Ventilating & Air Conditioning 41 1 (in Chinese) [江亿, 刘晓华, 谢晓云 2011 暖通空调 41 1]

    [79]

    Jiang Y, Xie X Y, Liu X H 2011 Heating Ventilating & Air Conditioning 41 51 (in Chinese) [江亿, 谢晓云, 刘晓华 2011 暖通空调 41 51]

    [80]

    Liu X H, Jiang Y, Zhang T, Zhang L 2011 Heating Ventilating & Air Conditioning 41 29 (in Chinese) [刘晓华, 江亿, 张涛, 张伦 2011 暖通空调 41 29]

    [81]

    Zhang T, Liu X H, Zhang L, Jiang Y 2012 Energy Convers. Manage. 59 103

    [82]

    Chen L, Chen Q, Li Z, Guo Z Y 2010 Chin. Sci. Bull. 55 1445

    [83]

    Chen Q, Yang K, Wang M R, Pan N, Guo Z Y 2010 Energy 35 2448

    [84]

    Chen Q, Pan N, Guo Z Y 2011 Energy 36 2890

    [85]

    Yuan F, Chen Q 2012 Chin. Sci. Bull. 57 687

    [86]

    Yuan F, Chen Q 2012 Energy 42 181

    [87]

    Xia S J, Chen L G, Sun F R 2011 Sci. China E: Tech. Sci. 53 352

    [88]

    Xia S J, Chen L G, Sun F R 2012 Scientia Iranica, Trans. C: Chem. Eng. 19 1616

    [89]

    Cheng X T, Xu X H, Liang X G 2011 Acta Phys. Sin. 60 118103 (in Chinese) [程雪涛, 徐向华, 梁新刚 2011 物理学报 60 118103]

    [90]

    Cheng X T, Dong Y, Liang X G 2011 Acta Phys. Sin. 60 114402 (in Chinese) [程雪涛, 董源, 梁新刚 2011 物理学报 60 114402]

    [91]

    Chen L G 2013 J. Naval Univ. Engin. 25 1 (in Chinese) [陈林根 2013 海军工程大学学报 25 1]

    [92]

    Shen W D, Tong J G 2007 Engineering Thermodynamics (Beijing: Higher Education Press) (in Chinese) [沈维道, 童均耕 2007 工程热力学 (北京: 高等教育出版社)]

    [93]

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

  • [1] 宋会杰, 董绍武, 王翔, 姜萌, 章宇, 郭栋, 张继海. 基于最优控制理论的国产光抽运小铯钟频率控制算法研究. 物理学报, 2024, 0(0): 0-0. doi: 10.7498/aps.73.20231866
    [2] 全海涛, 董辉, 孙昌璞. 介观统计热力学理论与实验. 物理学报, 2023, 72(23): 230501. doi: 10.7498/aps.72.20231608
    [3] 刘天宇, 曹佳慧, 刘艳艳, 高天附, 郑志刚. 温度反馈控制棘轮的最优控制. 物理学报, 2021, 70(19): 190501. doi: 10.7498/aps.70.20210517
    [4] 魏益焕. Kiselev黑洞的热力学性质和物质吸积特性. 物理学报, 2019, 68(6): 060402. doi: 10.7498/aps.68.20182055
    [5] 孔新雷, 吴惠彬. Birkhoff系统的离散最优控制及其在航天器交会对接中的应用. 物理学报, 2017, 66(8): 084501. doi: 10.7498/aps.66.084501
    [6] 许聪慧, 张国华, 钱志恒, 赵雪丹. 水平激励下颗粒物质的有效质量及耗散功率的研究. 物理学报, 2016, 65(23): 234501. doi: 10.7498/aps.65.234501
    [7] 张天宝, 俞玄平, 陈阿海. 有限温度下一维Gaudin-Yang模型的热力学性质. 物理学报, 2015, 64(15): 156402. doi: 10.7498/aps.64.156402
    [8] 余田, 张国华, 孙其诚, 赵雪丹, 马文波. 垂直振动激励下颗粒材料有效质量和耗散功率的研究. 物理学报, 2015, 64(4): 044501. doi: 10.7498/aps.64.044501
    [9] 张耀利, 吴保卫, 王月娥, 韩晓霞. 切换奇异系统的有限时间稳定. 物理学报, 2014, 63(17): 170205. doi: 10.7498/aps.63.170205
    [10] 夏少军, 陈林根, 戈延林, 孙丰瑞. 热漏对换热器(火积)耗散最小化的影响. 物理学报, 2014, 63(2): 020505. doi: 10.7498/aps.63.020505
    [11] 唐传胜, 戴跃洪. 参数不确定永磁同步电机混沌系统的有限时间稳定控制. 物理学报, 2013, 62(18): 180504. doi: 10.7498/aps.62.180504
    [12] 曹小群. 基于高斯伪谱方法的混沌系统最优控制. 物理学报, 2013, 62(23): 230505. doi: 10.7498/aps.62.230505
    [13] 李俊, 陈林根, 戈延林, 孙丰瑞. 正、反向两源热力循环有限时间热力学性能优化的研究进展. 物理学报, 2013, 62(13): 130501. doi: 10.7498/aps.62.130501
    [14] 赵建利, 王京, 王慧. 洛伦兹-哈肯激光混沌系统有限时间稳定主动控制方法研究. 物理学报, 2012, 61(11): 110209. doi: 10.7498/aps.61.110209
    [15] 武利猛, 倪明康. 奇异摄动最优控制问题中的内部层解. 物理学报, 2012, 61(8): 080203. doi: 10.7498/aps.61.080203
    [16] 赵建利, 王京, 魏伟. Lorenz混沌系统的近似有限时间稳定控制. 物理学报, 2011, 60(10): 100203. doi: 10.7498/aps.60.100203
    [17] 朱少平, 钱富才, 刘丁. 不确定动态混沌系统的最优控制. 物理学报, 2010, 59(4): 2250-2255. doi: 10.7498/aps.59.2250
    [18] 高铁杠, 陈增强, 袁著祉. 基于鲁棒有限时控制的混沌系统的同步. 物理学报, 2005, 54(6): 2574-2579. doi: 10.7498/aps.54.2574
    [19] 刘 丁, 钱富才, 任海鹏, 孔志强. 离散混沌系统的最小能量控制. 物理学报, 2004, 53(7): 2074-2079. doi: 10.7498/aps.53.2074
    [20] 欧发. 耗散系统的准热力学模型. 物理学报, 1995, 44(10): 1541-1550. doi: 10.7498/aps.44.1541
计量
  • 文章访问数:  4805
  • PDF下载量:  423
  • 被引次数: 0
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

/

返回文章
返回