Open AccessApplication of chaos theory in identification of two-phase flow patterns and transitions in a small, horizontal, rectangular channel
Author(s) -
Y. Cai,
M.W. Wambsganss,
J.A. Jendrzejczyk
Publication year - 1996
Language(s) - English
Resource type - Reports
DOI - 10.2172/207657
Subject(s) - lyapunov exponent , autocorrelation , flow (mathematics) , statistical physics , correlation dimension , chaotic , mathematics , trajectory , phase (matter) , chaos theory , fractal dimension , fractal , plane (geometry) , spectral density , function (biology) , open channel flow , channel (broadcasting) , physics , mathematical analysis , geometry , computer science , statistics , biology , computer network , quantum mechanics , astronomy , artificial intelligence , evolutionary biology
Various measurement tools of chaos theory were applied to analyze two-phase pressure signals with the objective to identify and interpret flow pattern transitions for two-phase flows in a small, horizontal rectangular channel. These measurement tools included power spectral density function, autocorrelation function, pseudo-phase-plane trajectory, Lyapunov exponents, and fractal dimensions. It was demonstrated that the randomlike pressure fluctuations characteristic of two-phase flow in small rectangular channels are chaotic in nature. As such, they are governed by a high-order deterministic system. The correlation dimension is potentially a new approach for identification of certain two-phase flow patterns and transitions