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- W2353286722 abstract "In the present paper,the nonlinear behaviors of the chaotic bubbling from a 4-pipr gas sparger in a shallow bubble columns with three different high diameter ratios of one to three was studied. The superficial gas velocity was varied widely within 0.045~0.312 m/s.The nonlinear chaotic analysis is performed with the time series data of wall pressure fluctuation measured by a probe.The time(delay) was estimated by differential phase space reconstruction method.The strange attractors were(constructed,) the lower column region of which is complex while the upper(is)(simple.)To explain such chaotic behaviors of bubbling,the columns were proposed to have three regions:(the lower) bubble split region,the middle transition region of bubble split and coalescence,and the upper(balance) region of bubble split and coalescence.While estimating the chaotic invariants(including) correlation (dimension) and Kolmogorov entropy at the given operation condition,the multi-value phenomena were observed,indicating that a multi-scale(behavior) occurred in such gas-liquid bubble column systems.The values of Kolmogorov entropy are positive(and finite,) and the values of correlation(dimension) were up to(3.5).Based on the estimates of correlation(dimension,) it was found that at least 3~4 independent variables are needed in order to describe the high(frequency) small scale bubble flow behavior of such system in the lower region and at least 2~3 independent variables in the upper region.The Kolmogorov entropy has minimum values as the function of gas super-(ficial) velocity at the range of 0.15~(0.25 m/s.)" @default.
- W2353286722 created "2016-06-24" @default.
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- W2353286722 date "2008-01-01" @default.
- W2353286722 modified "2023-09-24" @default.
- W2353286722 title "Chaotic Characteristics in Shallow Gas-Liquid Two-Phase Bubble Columns" @default.
- W2353286722 hasPublicationYear "2008" @default.
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