Analysis of gas-liquid two-phase flow characteristics based on double coupled Duffing oscillator
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摘要:
提出了双耦合Duffing振子仿真系统检测小通道气液两相流型信号的方法。搭建了双耦合Duffing振子仿真系统,针对流型信号的特征确定了3个关键参数:阻尼比、耦合系数和频率,并应用典型混沌信号Lorenz和Rössler对该仿真系统进行了性能检测。在两相流型信号检测时,提取了振子振动的瞬时速度和位移2个特征值,并基于特征值对流型动力学特性及流型辨识进行了深入研究。结果表明:通过对典型混沌系统的检测验证,发现本文检测方法具有较好的抗噪能力,能够较好地表征典型信号的混沌特性。提取的2个特征值能够揭示出小通道气液两相流型转变过程中气液两相间的作用机理。系统的振子振动瞬时速度结合位移实现了小通道气液两相流典型流型的准确识别,有助于其他不同介质的多相流动特性分析与流型辨识。
Abstract:The double coupled Duffing oscillator simulation system is put forward as a method for detecting the signal of gas-liquid two-phase flow patterns in small channel. The double coupled Duffing oscillator simulation and detection system is constructed, which is used to analyze the signal characteristics of flow patterns by the three key parameters:damping rate, coupling coefficient and frequency. The performance of the simulation system is tested by the typical chaotic signal of Lorenz and Rössler. When two-phase flow signal is detected, the eigenvalues are extracted including the instantaneous oscillator velocity and oscillator displacement, and based on the eigenvalues, the further study on flow pattern dynamic characteristics and flow pattern identification was done. The results show that this analysis method has better noise immunity and represents typical chaotic characteristics well through the verification of typical chaotic signals. The two extracted eigenvalues can reveal the mechanism of gas-liquid two-phase flow pattern transition process in small channel. Combining the instantaneous oscillation velocity of oscillator with the oscillator displacement can identify the nitrogen-water two-phase flow pattern in small channel accurately, which will contribute to the characteristic analysis and flow pattern identification of other multi-phase flow of different media.
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表 1 不同时刻振子振动瞬时速度在3种流型间的η和d2值
Table 1. Values of η and d2 of oscillation instantaneous velocity of oscillator among three flow patterns at different moments
时刻/s ηs, sa ηs, a ηsa, a ds, sa2 ds, a2 dsa, a2 1 2.524 3.047 2.986 1.124 1.397 0.985 5 1.875 2.892 1.203 1.254 1.048 0.532 10 2.305 1.907 2.387 0.856 1.113 1.065 注:s—段塞流;a—环状流;sa—段塞-环状过渡流。 -
[1] 杨亮, 丁国良, 黄冬平, 等.超临界二氧化碳流动和换热研究进展[J].制冷学报, 2003(2):51-56. http://d.wanfangdata.com.cn/Periodical/zlxb200302012YANG L, DING G L, HUANG D P, et al.Review of flow and heat transfer of supercritical carbon dioxide[J].Journal of Refrigeration, 2003(2):51-56(in Chinese). http://d.wanfangdata.com.cn/Periodical/zlxb200302012 [2] 陈光文, 袁权.微化工技术[J].化工学报, 2003, 54(4):427-439. http://d.wanfangdata.com.cn/Periodical/hgxb200304004CHEN G W, YUAN Q.Micro-chemical technology[J].Journal of Chemical Industry and Engineering, 2003, 54(4):427-439(in Chinese). http://d.wanfangdata.com.cn/Periodical/hgxb200304004 [3] 施丽莲, 蔡晋辉, 周泽魁.基于图像处理的气液两相流流型识别[J].浙江大学学报, 2005, 54(4):1128-1129. http://d.wanfangdata.com.cn/Periodical/zjdxxb-gx200508007SHI L L, CAI J H, ZHOU Z K.Flow pattern identification of gas-liquid two-phase flow based on image processing[J].Journal of Zhejiang University, 2005, 54(4):1128-1129(in Chinese). http://d.wanfangdata.com.cn/Periodical/zjdxxb-gx200508007 [4] SUN B, WANG E P, DING Y, et al.Time-frequency signal processing for gas-liquid two-phase flow through a horizontal venturi based on adaptive optimal-kernel theory[J].Chinese Journal of Mechanical Engineering, 2011, 19(2):243-252. http://www.cjche.com.cn/CN/abstract/abstract2017.shtml [5] 黄竹清.基于小波分析的垂直上升管气液两相流流型识别[J].中国电机工程学报, 2006, 26(1):26-29.HUANG Z Q.Flow pattern identification of gas-liquid two-phase flow in vertical upward pipe based on based wavelet analysis[J].Proceedings of the CSEE, 2006, 26(1):26-29(in Chinese). [6] DU M, JIN N D, GAO Z K.Analysis of total energy and time-frequency entropy of gas-liquid two-phase flow pattern[J].Chemical Engineering Science, 2012, 82:144-158. doi: 10.1016/j.ces.2012.07.028 [7] 金宁德, 陈万鹏.混沌递归分析在油水两相流流型识别中的应用[J].化工学报, 2006, 57(2):274-280. http://d.wanfangdata.com.cn/Periodical/hgxb200602008JIN N D, CHEN W P.Application of chaotic recursive analysis in flow pattern identification oil-water two-p-hase flow[J].Journal of Chemical Industry and Engin-eering, 2006, 57(2):274-280(in Chinese). http://d.wanfangdata.com.cn/Periodical/hgxb200602008 [8] 李洪伟, 周云龙, 王世勇, 等.小通道氮气水两相流三谱切片波动特性及其流型表征[J].物理学报, 2013, 62(14):14050501-14050510. http://d.wanfangdata.com.cn/Periodical/wlxb201314010LI H W, ZHOU Y L, WANG S Y, et al.The sliced trispectrum fluctuation characteristics and flow pattern representation of the nitrtrogen-water two-phase flow of small channel[J].Chinese Journal of Physics, 2013, 62(14):14050501-14050510(in Chinese). http://d.wanfangdata.com.cn/Periodical/wlxb201314010 [9] 李洪伟, 周云龙, 任素龙.符号动力学信息熵在气液两相流型电导信号分析中的应用[J].化工学报, 2012, 63(11):3486-3492. doi: 10.3969/j.issn.0438-1157.2012.11.015LI H W, ZHOU Y L, REN S L.Application of conductance signals analysis of gas-liquid two-phase flow patterns based on symbolic dynamics entropy[J].Journal of Chemical Industry and Engineering, 2012, 63(11):3486-3492(in Chinese). doi: 10.3969/j.issn.0438-1157.2012.11.015 [10] 李洪伟, 周云龙, 刘旭, 等.基于随机子空间结合稳定图的气液两相流型分析[J].物理学报, 2012, 61(3):03050801-03050808. http://d.wanfangdata.com.cn/Periodical/wlxb201203016LI H W, ZHOU Y L, LIU X, et al.Stochastic subspace parameter identification and stability diagram of gas-liquid two-phase flow patterns[J].Acta Physica Sinica, 2012, 61(3):03050801-03050808(in Chinese). http://d.wanfangdata.com.cn/Periodical/wlxb201203016 [11] LI H W, ZHOU Y L, HOU Y D, et al.Flow pattern map and time-frequency spectrum characteristics of nitrogen-water two-phase flow in small vertical upward noncircular channels[J].Experimental Thermal and Fluid Science, 2014, 54:47-60. doi: 10.1016/j.expthermflusci.2014.01.017 [12] GAO Z K, JIN N D.Flow pattern identification and nonlinear dynamics of gas-liquid two-phase flow in complex networks[J].Physical Review E, 2009, 79(6):066303. doi: 10.1103/PhysRevE.79.066303 [13] 李月, 杨宝俊, 赵雪平, 等.检测地震勘探微弱同相轴的混沌振子算法[J].地球物理学报, 2005, 48(6):1428-1433. http://d.wanfangdata.com.cn/Periodical/dqwlxb200506028LI Y, YANG B J, ZHAO X P, et al.An algorithm of chaotic vibrator to detect weak events in seismic prospecting records[J].Chinese Journal of Geophysics, 2005, 48(6):1428-1433(in Chinese). http://d.wanfangdata.com.cn/Periodical/dqwlxb200506028 [14] 吴勇峰, 张世平, 孙金玮, 等.环形耦合Duffing振子间的同步突变[J].物理学报, 2011, 60(2):135-140. http://d.wanfangdata.com.cn/Periodical/wlxb201102020WU Y F, ZHANG S P, SUN J W, et al.Abrupt change of synchronization of ring coupled Duffing oscillator[J].Acta Physica Sinica, 2011, 60(2):135-140(in Chinese). http://d.wanfangdata.com.cn/Periodical/wlxb201102020 [15] 杨东升, 李乐, 杨珺, 等.基于双耦合混沌振子的未知频率弱信号检测[J].东北大学学报(自然科学版), 2012, 33(9):1226-1230.YANG D S, LI L, YANG J, et al.Detection of the weak signal with unknown frequency based on the coupled chaos oscillator[J].Journal of Northeastern University(Natural Science), 2012, 33(9):1226-1230(in Chinese). [16] 赵雪平, 李月, 杨宝俊.用于检测同相轴的Duffing型系统恢复力项的讨论[J].地球物理学进展, 2006, 21(1):61-69. http://d.wanfangdata.com.cn/Periodical/dqwlxjz200601010ZHAO X P, LI Y, YANG B J.The discussion to the resilience items in the Duffing type system used for detecting events[J].Progress in Geophysics, 2006, 21(1):61-69(in Chinese). http://d.wanfangdata.com.cn/Periodical/dqwlxjz200601010 [17] 刘海波, 吴德伟, 金伟, 等.Duffing振子微弱信号检测方法研究[J].物理学报, 2013, 62(5):050501. http://d.wanfangdata.com.cn/Periodical/cqydxyxb-zrkx201304004LIU H B, WU D W, JIN W, et al.Study on weak signal detection method with Duffing oscillators[J].Acta Physica Sinica, 2013, 62(5):050501(in Chinese). http://d.wanfangdata.com.cn/Periodical/cqydxyxb-zrkx201304004 [18] 牛德智, 陈长兴, 班斐, 等.Duffing振子微弱信号检测盲区消除及检测统计量构造[J].物理学报, 2015, 64(6):060503.NIU D Z, CHEN C X, BAN F, et al.Blind angle elimination method in weak signal detection with Duffing oscillator and construction of detection statistics[J].Acta Physica Sinica, 2015, 64(6):060503(in Chinese). [19] AMARAL L A N, GOLDBERGER A L, IVANOV P C, et al.Scale-independent measures and pathologic cardiac dynamics[J].Physical Review Letters, 1998, 81(11):2388-2391. doi: 10.1103/PhysRevLett.81.2388 [20] 周云龙, 王洪波.矩形小通道内气液两相流垂直向上流动特性[J].化工学报, 2011, 62(5):1226-1232. http://d.wanfangdata.com.cn/Periodical/hgxb201105007ZHOU Y L, WANG H B.Flow characteristics of gas-liquid two-phase flow in small vertical rectangular channel[J].Journal of Chemical Industry and Engineering, 2003, 62(5):1226-1232(in Chinese). http://d.wanfangdata.com.cn/Periodical/hgxb201105007