We propose an improved permutation entropy method,i.e.,multi-scale permutation entropy(MSPE),for discrim-inating two-phase flow dynamics.We first take the signals from different typical dynamical systems as examples t...We propose an improved permutation entropy method,i.e.,multi-scale permutation entropy(MSPE),for discrim-inating two-phase flow dynamics.We first take the signals from different typical dynamical systems as examples to demonstrate the effectiveness of the methods.In particular,we compute the MSPE values of sinusoidal signal,logistic,Lorenz and Chen chaotic signals and their signals with white Gaussian noise added.We find that the MSPE method can be an effective tool for analyzing the time series with distinct dynamics.We finally calculate the multi-scale permutation entropy and rate of MSPE from 66 groups of conductance fluctuating signals and find that these two measures can be used to identify different flow patterns and further explore dynamical char-acteristics of gas-liquid flow patterns.These results suggest that the MSPE can potentially be a useful tool for revealing the dynamical complexity of two-phase flow on different scales.展开更多
基金Supported by the Natural Science Foundation of Shandong under Grant No ZR2012FQ023the National Natural Science Foundation of China under Grant Nos 41174109 and 61104148the National Science and Technology Major Projects under Grant No 2011ZX05020-006.
文摘We propose an improved permutation entropy method,i.e.,multi-scale permutation entropy(MSPE),for discrim-inating two-phase flow dynamics.We first take the signals from different typical dynamical systems as examples to demonstrate the effectiveness of the methods.In particular,we compute the MSPE values of sinusoidal signal,logistic,Lorenz and Chen chaotic signals and their signals with white Gaussian noise added.We find that the MSPE method can be an effective tool for analyzing the time series with distinct dynamics.We finally calculate the multi-scale permutation entropy and rate of MSPE from 66 groups of conductance fluctuating signals and find that these two measures can be used to identify different flow patterns and further explore dynamical char-acteristics of gas-liquid flow patterns.These results suggest that the MSPE can potentially be a useful tool for revealing the dynamical complexity of two-phase flow on different scales.