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Mathematical Problems in Engineering
Volume 2016, Article ID 2879524, 10 pages
Research Article

Time Irreversibility from Time Series for Analyzing Oil-in-Water Flow Transition

1College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China
2School of Computer Science & Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China

Received 31 December 2015; Revised 20 February 2016; Accepted 7 March 2016

Academic Editor: Konstantinos Karamanos

Copyright © 2016 Du Meng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We first experimentally collect conductance fluctuation signals of oil-in-water two-phase flow in a vertical pipe. Then we detect the flow pattern asymmetry character from the collected signals with multidimensional time irreversibility and multiscale time irreversibility index. Moreover, we propose a novel criterion, that is, AMSI (average of multiscale time irreversibility), to quantitatively investigate the oil-in-water two-phase flow pattern dynamics. The results show that AMSI is sensitive to the flow pattern evolution that can be used to predict the flow pattern transition and bubble coalescence.