Limited penetrable visibility graph from two-phase flow for investigating flow pattern dynamics

Gao Zhong-Ke; Hu Li-Dan; Zhou Ting-Ting; Jin Ning-De

doi:10.7498/aps.62.110507

Abstract

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.

Keywords:

Authors and contacts

1.
School of Electrical Engineering & Automation, Tianjin University, Tianjin 300072, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61104148, 50974095, 41174109), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110032120088), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05020-006).

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[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
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Cited By

[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 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 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 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 56 7330]
[35]	Dong Z, Li X 2009 Acta Phys. Sin. 59 1600 (in Chinese) [董昭, 李翔 2009 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 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 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 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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Vol. 62, Issue 11 - 2013-06-05

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