Y. Cai et al., APPLICATION OF CHAOS THEORY IN IDENTIFICATION OF 2-PHASE FLOW PATTERNS AND TRANSITIONS IN A SMALL, HORIZONTAL, RECTANGULAR CHANNEL, Journal of fluids engineering, 118(2), 1996, pp. 383-390
Various measurement tools that are used in chaos theory were applied t
o analyze two-phase pressure signals with the objective of identifying
and interpreting pow pattern transitions for two-phase flows in a sma
ll, horizontal rectangular channel. These measurement tools included p
ower spectral density function, autocorrelation function, pseudo-phase
-plane trajectory Lyapunov exponents, and fractal dimensions. It was d
emonstrated that the randomlike pressure fluctuations characteristic o
f two-phase flow in small rectangular channels are chaotic, and govern
ed by a high-order deterministic system. The correlation dimension is
potentially a new approach for identifying certain two-phase flow patt
erns and transitions.