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A new method of nonlinear analysis is proposed by combining the sliced trispectrum method with the fluctuation characteristics, and the influences of the length of the time sequence and fast Fourier transform (FFT) on the fluctuation characteristic value of sliced trispectrum are discussed. It is found that in the absence of noise, the length of sequence and FFT are proportional to the vector distance value; in the presence of noise, it is approximate inversely related. In order to test the anti-noise ability and characterize complexity ability of the fluctuation characteristics method, the proposed method is applied to fractal sequence (Brown), chaotic sequence (Lorenz) and periodic sequence (sine signal). The results show that compared with other power spectral method, the method of the fluctuation characteristics has good noise immunity of fractal sequence, and the anti-noise ability is relatively weak with periodic sequence; but the fluctuation characteristic theory of sequence internal complexity representation has a good effectiveness. On this basis, the differential pressure signals of nitrogen-water two-phase flow in small rectangular channel (w×h=2 mm×0.81 mm) are studied. By analyzing the differential pressure sliced trispectrum of flow patterns, the secondary coupling phenomenon of main oscillation mode of different flow patterns is established. The fluctuation characteristic values of the sliced trispectrum of different flow patterns are extracted to accurately identify the typical flow patterns of small channel nitrogen-water two-phase flow. At the same time, the fluctuation characteristic theory can be used to provide a useful exploration for the further investigation of flowing mechanism of multi-phase flows.
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Keywords:
- sliced trispectrum /
- fluctuation characteristics /
- flow pattern identification /
- flow pattern dynamics
[1] Ding G L, Huang D P, Zhang C L 2002 Journal of Refrigeration 2 7 (in Chinese) [丁国良, 黄东平, 张春路 2002制冷学报 2 7]
[2] 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]
[3] Gao Z K, Jin N D 2008 Acta Phys. Sin. 57 6909 (in Chinese) [高忠科, 金宁德 2008 57 6909]
[4] Zong Y B, Jin N D, Wang Z Y 2009 Acta Phys. Sin.. 57 7544 (in Chinese) [宗艳波, 金宁德, 王振亚 2009 57 7544]
[5] Dong F, Jin N D, Zong Y B 2008 Acta Phys. Sin. 57 6145 (in Chinese) [董芳, 金宁德, 宗艳波 2008 57 6145]
[6] Zhou T T, Jin N D, Gao Z K 2012 Acta Phys. Sin. 61 030506 (in Chinese) [周婷婷, 金宁德, 高忠科2012 61 030506]
[7] Zhao J Y, Jin N D 2012 Acta Phys. Sin. 61 094701 (in Chinese) [赵俊英, 金宁德 2012 61 094701]
[8] Sun B, Wang E P, Ding Y 2011 Chinese Journal of Chemical Engineering 19 243
[9] Sun B, Wang E P, Zheng Y J 2011 Acta Phys. Sin. 60 014701 (in Chinese) [孙斌, 王二朋, 郑永军2011 60 014701]
[10] Du M, Jin N D, Gao Z K 2012 Chem. Engin. Sci. 82 144
[11] Manfredo G 2013 Int. J. Multiphase Flow 51 1
[12] van Ommen J R, Sasic S, van der Schaaf J, Gheorghiu S, Johnsson F, Coppens M 2011 Int. J. Multiphase Flow 37 403
[13] Barker R W, Klutke G, Hinich M J 1993 ASME Trans. 115 23
[14] Zhang Y, Wang S X, Li S H 1996 Acta Electron. Sin. 24 109 (in Chinese) [张严, 王树勋, 李生红 1996电子学报 24 109]
[15] Lutes L D, Chen D C K 1991 Int. J. Non-Linear Mech. 6 893
[16] Hinich M J 1994 Circuits Sys. Signal Proc. 13 391
[17] Zhang W J, Huang Y J 2009 Machine Tool and Hydraulics 37 52 (in Chinese) [张文俊, 黄宜坚 2009机床与液压 37 52]
[18] Zheng G B, Jin N D 2009 Acta Phys. Sin. 58 4485 (in Chinese) [郑桂波, 金宁德2009 58 4485]
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[1] Ding G L, Huang D P, Zhang C L 2002 Journal of Refrigeration 2 7 (in Chinese) [丁国良, 黄东平, 张春路 2002制冷学报 2 7]
[2] 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]
[3] Gao Z K, Jin N D 2008 Acta Phys. Sin. 57 6909 (in Chinese) [高忠科, 金宁德 2008 57 6909]
[4] Zong Y B, Jin N D, Wang Z Y 2009 Acta Phys. Sin.. 57 7544 (in Chinese) [宗艳波, 金宁德, 王振亚 2009 57 7544]
[5] Dong F, Jin N D, Zong Y B 2008 Acta Phys. Sin. 57 6145 (in Chinese) [董芳, 金宁德, 宗艳波 2008 57 6145]
[6] Zhou T T, Jin N D, Gao Z K 2012 Acta Phys. Sin. 61 030506 (in Chinese) [周婷婷, 金宁德, 高忠科2012 61 030506]
[7] Zhao J Y, Jin N D 2012 Acta Phys. Sin. 61 094701 (in Chinese) [赵俊英, 金宁德 2012 61 094701]
[8] Sun B, Wang E P, Ding Y 2011 Chinese Journal of Chemical Engineering 19 243
[9] Sun B, Wang E P, Zheng Y J 2011 Acta Phys. Sin. 60 014701 (in Chinese) [孙斌, 王二朋, 郑永军2011 60 014701]
[10] Du M, Jin N D, Gao Z K 2012 Chem. Engin. Sci. 82 144
[11] Manfredo G 2013 Int. J. Multiphase Flow 51 1
[12] van Ommen J R, Sasic S, van der Schaaf J, Gheorghiu S, Johnsson F, Coppens M 2011 Int. J. Multiphase Flow 37 403
[13] Barker R W, Klutke G, Hinich M J 1993 ASME Trans. 115 23
[14] Zhang Y, Wang S X, Li S H 1996 Acta Electron. Sin. 24 109 (in Chinese) [张严, 王树勋, 李生红 1996电子学报 24 109]
[15] Lutes L D, Chen D C K 1991 Int. J. Non-Linear Mech. 6 893
[16] Hinich M J 1994 Circuits Sys. Signal Proc. 13 391
[17] Zhang W J, Huang Y J 2009 Machine Tool and Hydraulics 37 52 (in Chinese) [张文俊, 黄宜坚 2009机床与液压 37 52]
[18] Zheng G B, Jin N D 2009 Acta Phys. Sin. 58 4485 (in Chinese) [郑桂波, 金宁德2009 58 4485]
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