Chaotic forecasting of natural circulation flow instabilities under rolling motion based on lyapunov exponents

Zhang Wen-Chao; Tan Si-Chao; Gao Pu-Zhen

doi:10.7498/aps.62.060502

Abstract

The chaotic forecasting of irregular complex flow oscillation of natural circulation flow instabilities under rolling motion condition based on the largest Lyapunov exponents is performed. The correlation dimension, Kolmogorov entropy and the largest Lyapunov exponent are determined based on the phase space reconstruction theory of experimental data. On the premise that the irregular complex flow oscillation is confirmed to own chaos characteristic, the chaotic forecasting of the irregular complex flow oscillation is carried out by calculating the largest Lyapunov exponent. A comparisons between the prediction results and experimental data indicates that the chaotic forecasting based on the largest Lyapunov exponent is an effective way of producing those two-phase natural circulation flow instabilities. Meanwhile, the maximum predictable scale of chaotic flow instability is determined and a way of dynamic forecasting to monitor flow oscillation is presented. The method employed here provides a new method of studying the complex two-phase flow instabilities.

Keywords:

Authors and contacts

1.
Harbin Engineering University, National Defense Key Subject Laboratory for Nuclear Safety and Simulation Technology, Harbin 150001, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 50806014), the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No. HEUCFZ1008), the Scientific Research Foundation of Heilongjiang Province for Returned Chinese Scholars, China (Grant No. LC2011C18), and the Heilongjiang Province Postdoctoral Sustentation Fund, China (Grant No. LBH-Q10131).

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[28]	Tan S, Su G H, Gao P 2009 Appl. Therm. Eng. 29 3160
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[30]	Takens F 1981 Lecture Notes in Math. 898 361
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Cited By

[1]	Yu S, Lu J, Yu X, Chen G 2012 IEEE Trans. Circ. Syst. I 59 1015
[2]	Gao Y, Li L X, Peng H P, Yang Y X, Zhang X H 2008 Acta Phys. Sin. 57 1444 (in Chinese) [高洋, 李丽香, 彭海朋, 杨义先, 张小红 2008 物理学报 57 1444]
[3]	Lu J, Chen G 2005 IEEE Trans. Auto. Contr. 50 841
[4]	Lu J, Yu X, Chen G, Cheng D 2004 IEEE Trans. Circ. Syst. I 51 787
[5]	Zhang S, Xiao X C 2005 Acta Phys. Sin. 54 5062 (in Chinese) [张森, 肖先赐 2005 物理学报 54 5062]
[6]	Zhang Y, Guan W 2009 Acta Phys. Sin. 58 756 (in Chinese)[张勇, 关伟 2009 物理学报 58 756]
[7]	Lu S, Wang H Y 2006 Acta Phys. Sin. 55 572 (in Chinese) [卢山, 王海燕 2006 物理学报 55 572]
[8]	Yan H, Wei P, Xiao X C 2007 Acta Phys. Sin. 56 5111 (in Chinese) [闫华, 魏平, 肖先赐 2007 物理学报 56 5111]
[9]	Gao G Y, Jiang G P 2012 Acta Phys. Sin. 61 040506 (in Chinese) [高光勇, 蒋国平 2012 物理学报 61 040506]
[10]	Song T, Li H 2012 Acta Phys. Sin. 61 080506 (in Chinese) [宋彤, 李菡 2012 物理学报 61 080506]
[11]	Zhang C T, Ma Q L, Peng H 2010 Acta Phys. Sin. 59 7623 (in Chinese) [张春涛, 马千里, 彭宏 2010 物理学报 59 7623]
[12]	Wei X Z, Ren Y M, Shen Y, Yuan Y X 2008 J. Harbin Inst. Tech. 40 25 (in Chinese) [魏希柱, 任月明, 沈毅, 袁一星 2008 哈尔滨工业大学学报 40 25]
[13]	Chen S Y, Wang W 2004 China Civil Eng. J. 37 96 (in Chinese) [陈淑燕, 王炜 2004 土木工程学报 37 96]
[14]	L J H, Zhan Y, Lu J A 2000 Proc. CSEE 20 81 (in Chinese) [吕金虎, 占勇, 陆君安 2000 中国电机工程学报 20 81]
[15]	Dang X C, Hu G T, Hao Z J 2011 J. Suzhou Univ. Sci. Tech. 28 44 (Natural Science) (in Chinese)[党小超, 胡广涛, 郝占军 2011 苏州科技学院学报(自然科学版) 28 44]
[16]	Cai G L, Tan Z M, Zhou W H, Tu W T 2007 Acta Phys. Sin. 56 6230 (in Chinese) [蔡国梁, 谭振梅, 周维怀, 涂文桃 2007 物理学报 56 6230]
[17]	Tao C H, Lu J A, L J H 2002 Acta Phys. Sin. 51 1497 (in Chinese) [陶朝海,陆君安,吕金虎 2002 物理学报 51 1497]
[18]	Wang P, Lu J, Ogorzalek M J 2012 Neurocomput. 78 155
[19]	Guo J B, Hu J F 2008 Acta Phys. Sin. 57 1477 (in Chinese) [郭静波, 胡进峰 2008 物理学报 57 1477]
[20]	Zhang Z M, Tao Z J, Li Y 2009 Acta Phys. Sin. 58 6818 (in Chinese) [张正明,陶志杰,李亚2009 物理学报 58 6818]
[21]	Xin B G, Chen T, Liu Y Q 2011 Acta Phys. Sin. 60 048901 (in Chinese) [辛宝贵,陈通,刘艳芹 2011 物理学报 60 048901]
[22]	Zhang Y J, Su G H, Yang X B, Qiu S Z 2009 Nucl. Eng. Des. 239 1294
[23]	Tan S, Su G H, Gao P 2009 Ann. Nucl. Energy 36 103
[24]	Yun G, Qiu S Z, Su G H, Jia D N 2008 Ann. Nucl. Energy 35 1598
[25]	Yan B H, Yu L 2012 Prog. Nucl. Energy 54 123
[26]	Zhang W C, Tan S C, Gao P Z, Zhang H, Zhang H Y 2012 Atom. En. Sci. Tech. 46 705 (in Chinese) [张文超, 谭思超, 高璞珍, 张虹, 张红岩 2012 原子能科学技术 46 705]
[27]	Guanghui S, Dounan J, Fukuda K, Yujun G 2002 Nucl. Eng. Des. 215 187
[28]	Tan S, Su G H, Gao P 2009 Appl. Therm. Eng. 29 3160
[29]	Lv J H, Lu J A, Chen S H 2002 Chaotic Time Series Analysis and Application (Wuhan: Wuhan University Press) p57 (in Chinese) [吕金虎, 陆君安, 陈士华 2002 混沌时间序列分析及其应用 (武汉: 武汉大学出版) 第57页]
[30]	Takens F 1981 Lecture Notes in Math. 898 361
[31]	Zhang B H, Liu X H, Wan J P, Liu P, Cheng S J 2004 Pow. Sys. Tech. 28 32 (in Chinese) [张步涵, 刘小华, 万建平, 刘沛, 程时杰 2004 电网技术 28 32]

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Vol. 62, Issue 6 - 2013-03-20

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