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针对小管径两相流流动特性, 全新优化设计弧形对壁式电导传感器. 通过动态实验在获取传感器测量信号的基础上, 采用有限穿越可视图理论构建对应于不同流型的两相流复杂网络. 通过分析发现, 有限穿越可视图网络异速生长指数和网络平均度值的联合分布可实现对小管径两相流的流型辨识; 有限穿越可视图度分布曲线峰值可有效刻画与泡径大小分布相关的流动物理结构细节特征; 网络平均度值可表征流动结构的宏观特性; 网络异速生长指数对流体动力学复杂性十分敏感, 可揭示不同流型演化过程中的细节演化动力学特性. 两相流测量信号的有限穿越可视图分析为揭示两相流流型的形成及演化动力学机理提供了新途径.We optimize and design a new half-ring conductance sensor for measuring two-phase flow in a small diameter pipe. Based on the experimental signals measured from the designed sensor, we using the limited penetrable visibility graph we proposed construct complex networks for different flow patterns. Through analyzing the constructed networks, we find that the joint distribution of the allometric scaling exponent and the average degree of the network allows distinguishing different gas-liquid flow patterns in a small diameter pipe. The curve peak of the degree distribution allows uncovering the detailed features of the flow structure associated with the size of gas bubbles, the average degree of the network can reflect the macroscopic property of the flow behavior, The allometric scaling exponent is very sensitive to the complexity of fluid dynamics and allows characterizing the dynamic behaviors in the evolution of different flow patterns. In this regard, limited penetrable visibility graph analysis of fluid signals can provide a new perspective and a novel tool for uncovering the dynamical mechanisms governing the formation and evolution of different flow patterns.
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Keywords:
- two-phase flow /
- complex network /
- limited penetrable visibility graph /
- allometric scaling exponent
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[2] Gao Z K, Jin N D 2009 Phy. Rev. E 79 066303
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[7] Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
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[11] Li X G, Gao Z Y, Li K P, Zhao X M 2007 Phys. Rev. E 76 016110
[12] Pei W D, Chen Z Q, Yuan Z Z 2008 Chin. Phys. B 17 0373
[13] Zhou J, Lu J A, Lu J H 2008 Automatica 44 996
[14] Lu X B, Wang X F, Fang J Q 2010 Physica D 239 341
[15] Zhou T, Kuscsik Z, Liu J G, Medo M, Wakeling J R, Zhang Y C 2010 Proc. Natl. Acad. Sci. USA 107 4511
[16] Guo J L 2010 Chin. Phys. B 19 120503
[17] Duan Z S, Chen G R 2012 Chin. Phys. B 21 080506
[18] Zhang C, Sheng H Z, Li F, Yang H Q, Feng G L 2012 Acta Phys. Sin. 61 148902 (in Chinese) [张聪, 沈惠璋, 李峰, 杨何群 2012 物理学报 61 148902]
[19] Wang W X, Yang R, Lai Y C, Kovanis V, Grebogi C 2011 Phys. Rev. Lett. 106 154101
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[22] Zhang J, Sun J F, Luo S D, Zhang K, Nakamura T, Small M 2008 Physica D 237 2856
[23] Yang Y, Yang H J 2008 Physica A 387 1381
[24] Lacasa L, Luque B, Ballesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Sci. USA 105 4972
[25] Luque B, Lacasa L, Ballesteros F, Luque J 2009 Phys. Rev. E 80 046103
[26] Lacasa L, Toral R 2010 Phys. Rev. E 82 036120
[27] Xu X, Zhang J, Small M 2008 Proc. Natl. Acad. Sci. USA 105 19601
[28] Donges J F, Heitzig J, Donner R V, Kurths J 2012 Phys. Rev. E textbf85 046105
[29] Zou Y, Donner R V, Wickramasinghe M, Kiss I Z, Small M, Kurths J 2012 Chaos 22 033130
[30] Gao Z K, Jin N D 2009 Chaos 19 033137
[31] Gao Z K, Jin N D 2012 Nonlinear Analysis: Real World Applications 13 947
[32] Zhou T T, Jin N D, Gao Z K, Luo Y B 2012 Acta Phys. Sin. 61 030506 (in Chinese) [周婷婷, 金宁德, 高忠科, 罗跃斌 2012 物理学报 61 030506]
[33] Shimada Y, Ikeguchi T, Shigehara T 2012 Phys. Rev. Lett. 109 158701
[34] Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 物理学报 56 7330]
[35] Dong Z, Li X 2009 Acta Phys. Sin. 59 1600 (in Chinese) [董昭, 李翔 2009 物理学报 59 1600]
[36] Li X, Dong Z 2011 Phys. Rev. E 84 062901
[37] Zhou L, Gong Z Q, Zhi R, Feng G L 2008 Acta Phys. Sin. 57 7380 (in Chinese) [周磊, 龚志强, 支蓉, 封国林 2008 物理学报 57 7380]
[38] Gong Z Q, Wang X J, Zhi R, Feng A X 2011 Chin. Phys. B 20 079201
[39] Gong Z Q, Zhi R, Hou W, Wang X J, Feng G L 2012 Acta Phys. Sin. 61 029202 (in Chinese) [龚志强, 支蓉, 侯威, 王晓娟, 封国林 2012 物理学报 61 029202]
[40] Gao X Y, An H Z, Fang W 2012 Acta Phys. Sin. 61 098902 (in Chinese) [高湘昀, 安海忠, 方伟 2012 物理学报 61 098902]
[41] Gao Z K, Jin N D 2009 Chin. Phys. B 18 5249
[42] Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phy. Rev. E 82 016210
[43] Zhang J, Zhang K, Feng J F, Small M 2010 PLoS Comput. Biol. 6 e1001033
[44] Liu C, Zhou W X, Yuan W K 2010 Physica A 389 2675
[45] Shao Z G 2010 Appl. Phys. Lett. 96 073703
[46] Gao Z K, Jin N D 2011 Chem. Eng. Sci. 66 2660
[47] Walker D M, Tordesillas A 2012 Phys. Rev. E 85 011304
[48] Ghaffari H O Young R P 2012 Europhys. Lett. 98 48003
[49] West G B, Brown J H, Enquist B J 1997 Science 276 122
[50] West G B, Brown J H, Enquist B J 1999 Science 284 1677
[51] Garlaschelli D, Caldarelli G, Pietronero L 2003 Nature 423 165
[52] Santillan M 2003 Eur. Phys. J. B 223 249
[53] Duan W Q 2007 Eur. Phys. J. B 59 271
[54] Song D M, Jiang Z Q, Zhou W X 2009 Physica A 388 2450
[55] Ni X H, Jiang Z Q, Zhou W X 2009 Phys. Lett. A 373 3822
[56] Jones D L, Baraniuk R G 1995 IEEE Transactions on Signal Processing 43 2361
[57] Du M, Jin N D, Gao Z K, Wang Z Y, Zhai L S 2012 International Journal of Multiphase Flow 41 91
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[1] Daw C S, Finney C E A, Vasudevan M, van Goor N A, Nguyen K, Bruns D D, Kostelich E J, Grebogi C, Ott E, Yorke J A 1995 Phys. Rev. Lett. 75 2308
[2] Gao Z K, Jin N D 2009 Phy. Rev. E 79 066303
[3] Li H W, Zhou Y L, Liu X, Sun B 2012 Acta Phys. Sin. 61 030508 (in Chinese) [李洪伟, 周云龙, 刘旭, 孙斌 2012 物理学报 61 030508]
[4] Watts D J, Strogatz S H 1998 Nature 393 440
[5] Strogatz S H 2001 Nature 410 268
[6] Albert R, Barabási A L 2002 Rev. Mod. Phys. 74 47
[7] Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[8] Zheng D F, Hui P M, Trimper S, Zheng B 2005 Physica A 352 659
[9] Pan Z F, Li X, Wang X F 2006 Phys. Rev. E 73 056109
[10] Huang L, Park K, Lai Y C, Yang L, Yang K Q 2006 Phys. Rev. Lett. 97 164101
[11] Li X G, Gao Z Y, Li K P, Zhao X M 2007 Phys. Rev. E 76 016110
[12] Pei W D, Chen Z Q, Yuan Z Z 2008 Chin. Phys. B 17 0373
[13] Zhou J, Lu J A, Lu J H 2008 Automatica 44 996
[14] Lu X B, Wang X F, Fang J Q 2010 Physica D 239 341
[15] Zhou T, Kuscsik Z, Liu J G, Medo M, Wakeling J R, Zhang Y C 2010 Proc. Natl. Acad. Sci. USA 107 4511
[16] Guo J L 2010 Chin. Phys. B 19 120503
[17] Duan Z S, Chen G R 2012 Chin. Phys. B 21 080506
[18] Zhang C, Sheng H Z, Li F, Yang H Q, Feng G L 2012 Acta Phys. Sin. 61 148902 (in Chinese) [张聪, 沈惠璋, 李峰, 杨何群 2012 物理学报 61 148902]
[19] Wang W X, Yang R, Lai Y C, Kovanis V, Grebogi C 2011 Phys. Rev. Lett. 106 154101
[20] Zhang J, Small M 2006 Phys. Rev. Lett. 96 238701
[21] Zhou C S, Zemanov?L, Zamora G, Hilgetag C C, Kurths J 2006 Phys. Rev. Lett. 97 238103
[22] Zhang J, Sun J F, Luo S D, Zhang K, Nakamura T, Small M 2008 Physica D 237 2856
[23] Yang Y, Yang H J 2008 Physica A 387 1381
[24] Lacasa L, Luque B, Ballesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Sci. USA 105 4972
[25] Luque B, Lacasa L, Ballesteros F, Luque J 2009 Phys. Rev. E 80 046103
[26] Lacasa L, Toral R 2010 Phys. Rev. E 82 036120
[27] Xu X, Zhang J, Small M 2008 Proc. Natl. Acad. Sci. USA 105 19601
[28] Donges J F, Heitzig J, Donner R V, Kurths J 2012 Phys. Rev. E textbf85 046105
[29] Zou Y, Donner R V, Wickramasinghe M, Kiss I Z, Small M, Kurths J 2012 Chaos 22 033130
[30] Gao Z K, Jin N D 2009 Chaos 19 033137
[31] Gao Z K, Jin N D 2012 Nonlinear Analysis: Real World Applications 13 947
[32] Zhou T T, Jin N D, Gao Z K, Luo Y B 2012 Acta Phys. Sin. 61 030506 (in Chinese) [周婷婷, 金宁德, 高忠科, 罗跃斌 2012 物理学报 61 030506]
[33] Shimada Y, Ikeguchi T, Shigehara T 2012 Phys. Rev. Lett. 109 158701
[34] Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 物理学报 56 7330]
[35] Dong Z, Li X 2009 Acta Phys. Sin. 59 1600 (in Chinese) [董昭, 李翔 2009 物理学报 59 1600]
[36] Li X, Dong Z 2011 Phys. Rev. E 84 062901
[37] Zhou L, Gong Z Q, Zhi R, Feng G L 2008 Acta Phys. Sin. 57 7380 (in Chinese) [周磊, 龚志强, 支蓉, 封国林 2008 物理学报 57 7380]
[38] Gong Z Q, Wang X J, Zhi R, Feng A X 2011 Chin. Phys. B 20 079201
[39] Gong Z Q, Zhi R, Hou W, Wang X J, Feng G L 2012 Acta Phys. Sin. 61 029202 (in Chinese) [龚志强, 支蓉, 侯威, 王晓娟, 封国林 2012 物理学报 61 029202]
[40] Gao X Y, An H Z, Fang W 2012 Acta Phys. Sin. 61 098902 (in Chinese) [高湘昀, 安海忠, 方伟 2012 物理学报 61 098902]
[41] Gao Z K, Jin N D 2009 Chin. Phys. B 18 5249
[42] Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phy. Rev. E 82 016210
[43] Zhang J, Zhang K, Feng J F, Small M 2010 PLoS Comput. Biol. 6 e1001033
[44] Liu C, Zhou W X, Yuan W K 2010 Physica A 389 2675
[45] Shao Z G 2010 Appl. Phys. Lett. 96 073703
[46] Gao Z K, Jin N D 2011 Chem. Eng. Sci. 66 2660
[47] Walker D M, Tordesillas A 2012 Phys. Rev. E 85 011304
[48] Ghaffari H O Young R P 2012 Europhys. Lett. 98 48003
[49] West G B, Brown J H, Enquist B J 1997 Science 276 122
[50] West G B, Brown J H, Enquist B J 1999 Science 284 1677
[51] Garlaschelli D, Caldarelli G, Pietronero L 2003 Nature 423 165
[52] Santillan M 2003 Eur. Phys. J. B 223 249
[53] Duan W Q 2007 Eur. Phys. J. B 59 271
[54] Song D M, Jiang Z Q, Zhou W X 2009 Physica A 388 2450
[55] Ni X H, Jiang Z Q, Zhou W X 2009 Phys. Lett. A 373 3822
[56] Jones D L, Baraniuk R G 1995 IEEE Transactions on Signal Processing 43 2361
[57] Du M, Jin N D, Gao Z K, Wang Z Y, Zhai L S 2012 International Journal of Multiphase Flow 41 91
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