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Pressure fluctuation signals at the inlet/outlet of an oxygen phase-change heat exchanger are analyzed using non-linear method. Chaotic characteristic parameters such as correlation dimension, Kolomogrov entropy and the largest singular value decomposition (SVD) for the covariance matrix of an established 10-dimensional phase space are analyzed. Results prove that the heat exchanger is a non-linear system with chaotic characteristics. Correlations between these parameters and Prantl Number are also examined for the thermal behavior of oxygen in the critical region. The strong dependence of these characteristic parameters on Pr indicates that they can be used to investigate effectively the phase change behavior of pure substance.
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Keywords:
- chaos /
- pressure fluctuation /
- phase transition /
- two-phase flow
[1] Franca F, Acikgoz M, Lahey R T 1991 Int. J. Multiphase Flow 17 545
[2] Cai Y, Wambsganss M W, Jendrezejczyk J A 1996 ASME J. Fluid Engineering 118 383
[3] Langford H M, Beasley D E, Ochterbeck J M, 1998 Third International Conference on Multiphase Flow Lyon France, June 8—12, 1998
[4] Bai B F, Guo L J, Chen X J 2001 Journal of Engineering Thermophysics 22 359 (in Chinese) [白博峰, 郭烈锦, 陈学俊 2001 工程热物理 22 359]
[5] Bai B F, Guo L J, Chen X J 2003 Journal of Hydrodynamic 18 476 (in Chinese) [白博峰, 郭烈锦, 陈学俊 2003 水动力学研究与进展 18 476]
[6] Zheng G B, Jin N D 2009 Acta. Phys. Sin. 58 4485 (in Chinese) [郑桂波, 金宁德 2009 48 4485]
[7] Takens F 1981 Lecture Notes in Mathematic 898 366
[8] Grassberger P, Procaccia I 1983 Phys. Rev. Lett. 50 346
[9] Grassberger P, Procaccia I 1983 Phys. D 9 189
[10] Fraser A M, Swinney H L 1986 Phys. Rev. A 33 1134
[11] Wang A L, Yang C X 2002 Acta Phys. Sin. 51 2719 (in Chinese) [王安良, 杨春信 2002 51 2719]
[12] Xiao F H, Yan G R, Han Y H 2005 Acta Phys. Sin. 54 550 (in Chinese) [肖方红, 阎桂荣, 韩宇航 2005 54 550]
[13] Zhang S Q, Jia J, Gao M, Han X 2010 Acta Phys. Sin. 59 1576 (in Chinese) [张淑清, 贾健, 高敏, 韩叙 2010 59 1576]
[14] Zemansky M W, Dittman R H (Translated by Liu G F, Chen B Q) 1987 Heat and Thermodynamics (Beijing: Science Press) p396 (in Chinese) [泽门斯基 M W, 迪特曼 R H著 刘皇风, 陈秉乾译 1987 热学和热力学 (北京: 科学出版社) 第396页]
[15] Schmidt R, Wagner W 1985 Fluid Phase Equilibria. 19 175
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[1] Franca F, Acikgoz M, Lahey R T 1991 Int. J. Multiphase Flow 17 545
[2] Cai Y, Wambsganss M W, Jendrezejczyk J A 1996 ASME J. Fluid Engineering 118 383
[3] Langford H M, Beasley D E, Ochterbeck J M, 1998 Third International Conference on Multiphase Flow Lyon France, June 8—12, 1998
[4] Bai B F, Guo L J, Chen X J 2001 Journal of Engineering Thermophysics 22 359 (in Chinese) [白博峰, 郭烈锦, 陈学俊 2001 工程热物理 22 359]
[5] Bai B F, Guo L J, Chen X J 2003 Journal of Hydrodynamic 18 476 (in Chinese) [白博峰, 郭烈锦, 陈学俊 2003 水动力学研究与进展 18 476]
[6] Zheng G B, Jin N D 2009 Acta. Phys. Sin. 58 4485 (in Chinese) [郑桂波, 金宁德 2009 48 4485]
[7] Takens F 1981 Lecture Notes in Mathematic 898 366
[8] Grassberger P, Procaccia I 1983 Phys. Rev. Lett. 50 346
[9] Grassberger P, Procaccia I 1983 Phys. D 9 189
[10] Fraser A M, Swinney H L 1986 Phys. Rev. A 33 1134
[11] Wang A L, Yang C X 2002 Acta Phys. Sin. 51 2719 (in Chinese) [王安良, 杨春信 2002 51 2719]
[12] Xiao F H, Yan G R, Han Y H 2005 Acta Phys. Sin. 54 550 (in Chinese) [肖方红, 阎桂荣, 韩宇航 2005 54 550]
[13] Zhang S Q, Jia J, Gao M, Han X 2010 Acta Phys. Sin. 59 1576 (in Chinese) [张淑清, 贾健, 高敏, 韩叙 2010 59 1576]
[14] Zemansky M W, Dittman R H (Translated by Liu G F, Chen B Q) 1987 Heat and Thermodynamics (Beijing: Science Press) p396 (in Chinese) [泽门斯基 M W, 迪特曼 R H著 刘皇风, 陈秉乾译 1987 热学和热力学 (北京: 科学出版社) 第396页]
[15] Schmidt R, Wagner W 1985 Fluid Phase Equilibria. 19 175
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