Nonlinear characteristics analyses of particle motion for predicting flow regimes_中国颗粒学会



Partic. vol. 53 pp. 134-141 (December 2020)
doi: 10.1016/j.partic.2020.03.008

Nonlinear characteristics analyses of particle motion for predicting flow regimes

Panxing Kanga,1, Yujian Lua,1, Lei Yanga, Libin Liua, Xiayi (Eric) Hua, Xiao Luob, Hongbo Chena, Yefeng Zhoua,*, Rui Zhanga,*

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    • Signal analyses of acoustic emission (AE) and pressure fluctuation were compared. • AE signals were analyzed using complexity and Shannon entropy. • Nonlinear characteristics were studied based on AE signals. • Flow regime transitions could be identified using AE signal analysis.


Gas–solid flow regimes have a significant impact on particle transport and separation in a fluidized bed reactor. In this study, to determine flow regime transitions in gas–solid fluidized beds, an acoustic technique was used to detect and analyze the behavior of gas and solids. Algorithm complexity, fluctuation complexity, and Shannon entropy analyses of acoustic emission signals were performed to examine nonlinear system characteristics, and to determine the flow regime transition velocities uc, uk, and uFD. Moreover, using the standard deviation of pressure signals, pressure measurements and acoustic measurements were compared. The relative deviations (RDs) between the experimental and empirical values of uk were 8.8%, 13.7%, 8.8%, and 30.4% for the algorithm complexity, fluctuation complexity, Shannon entropy, and pressure signal standard deviation, respectively, while the respective RDs for uFD were 15.7%, 23.9%, 15.7%, and 97.8%. The RDs between the experimental and empirical values of uc were all 6.4%. The experimental values obtained from acoustic signal measurements were therefore closer to the empirical values. In summary, the integration of non-intrusive acoustic measurements, complexity analysis, and Shannon entropy analysis is suitable for identifying flow regime transitions.


Acoustic emission; Nonlinear characteristics; Complexity analysis; Shannon entropy; Flow regime transition