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Recurrence networks from multivariate signals for uncovering dynamic transitions of horizontal oil-water stratified flows
Gao Zhongke 1 * #,Zhang Xinwang 2,Jin Ningde 2,Donner Reik V. 3,Marwan Norbert 3,Kurths Jürgen 4
1.School of Electrical Engineering and Automation, Tianjin University, TianJin 300072;Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany;Department of Physics, Humboldt University, Berlin 12489, Germany
2.School of Electrical Engineering and Automation, Tianjin University, TianJin 300072
3.Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany
4.Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany;Department of Physics, Humboldt University, Berlin 12489, Germany;Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen 10 AB243UE, UK
*Correspondence author
#Submitted by
Subject:
Funding: none
Opened online:14 August 2013
Accepted by: none
Citation: Gao Zhongke,Zhang Xinwang,Jin Ningde.Recurrence networks from multivariate signals for uncovering dynamic transitions of horizontal oil-water stratified flows[OL]. [14 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4554103
 
 
Characterizing the mechanism of drop formation at the interface of horizontal oil-water stratified flows is a fundamental problem eliciting a great deal of attention from different disciplines. We experimentally and theoretically investigate the formation and transition of horizontal oil-water stratified flows. We design a new multi-sector conductance sensor and measure multivariate signals from two different stratified flow patterns. Using the Adaptive Optimal Kernel Time-Frequency Representation (AOK TFR) we first characterize flow behavior from the energy and frequency point of view. Then, we infer multivariate recurrence networks from experimental data and investigate the cross-transitivity for each constructed network. We find that the cross-transitivity from recurrence network analysis allows quantitatively uncovering the flow behavior when the stratified flow evolves from stable state to unstable state and recovers deeper insights into the mechanism governing the formation of drops at the interface of stratified flows, a task that existing method based on AOK TFR fails to work. These interesting and significant findings present a first step towards an improved understanding of the dynamic mechanism leading to the transition of horizontal oil-water stratified flows from a complex network perspective
Keywords: Multivariate recurrence network; Horizontal oil-water stratified flow; Cross-transitivity; Experiments
 
 
 

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