Abstract
In this study on the nature of pressure signals generated by a deterministic or stochastic process in a bubbling fluidized bed, pressure fluctuation measurements were carried out in a 300-mm-diamet column at 0.090 m and 0.40 m above the distributor for different gas velocities. The method of detecting deterministic dynamic underlying pressure signals is proposed on the basis of predictability of pressure fluctuations. The deterministic nature of dynamics in fluidizing system was verified. The deterministic level of dynamics in fluidizing system was analyzed for different locations of pressure measurements and different gas velocities.
References
Bai, D., Bi, H. T., Grace, J. R., 1997. Chaotic behavior of fluidized beds based on pressure and voidage fluctuations,AIChE J.,43, 1357–1361.
Bouillard, J. X., Miller, A. L., 1994. Experimental investigations of chaotic hydrodynamic attractors in circulating fluidized beds.Powder Technology,79: 211–215.
Cai, P., Wang, Z. W., Jin, Y., 1988. An analyzing system of zoom power spectrum for pressure signals in gas-solid fluidized beds.Engineering Chemistry & Metallurgy,9(1): 15–21 (in Chinese).
Daw, C. S., Lawkins, W. F., Downing, D. J., Clapp, Jr, N. E., 1990. Chaotic characteristics of a complex gas-solid flow.Phys. Rev. A,41(2): 1179–1181.
Eckmann, J. P., Kamphorst, S. O., Ruelle, D., Ciliberto, S., 1986. Liapunov exponents from time series.Phys. Rev. A,34(6): 4971–4979.
Fan, L. T., Neogi, D., Yashima, M., Nassar, R., 1990. “Stochastic analysis of a three-phase fluidized bed: fractal approach”,AIChE J.,36, 1529–1535.
Grassberger, P., Procaccia, I., 1983. Characterization of strange attractors.Phys. Rev. Lett.,50(5): 346–349.
Karamavruc, A. I., Clark, N. N., 1997. Local differential pressure analysis in a slugging bed using deterministic chaos theory.Chem. Eng. Sci.,52, 357–370.
Kaplan, D. T., Glass, L., 1992. Direct test for determinism in a time series.Phys. Rev. Lett.,68(4), 427–430.
Kaplan, D., Glass, L., 1995. Understanding Nonlinear Dynamics, Springer-Verlag, New York.
Takens, F. Lecture, 1981. Notes in mathematics, springer-verlag.898: 366–381.
Verloop, J., Heertjes, P. M., 1974. Periodic pressure fluctuations in fluidized beds,Chem. Eng. Sci.,29: 1035–1042.
Van den Bleek, C. M., Schouten, J. C., 1993. Deterministic chaos: a new tool in fluidized bed design and operation.Chem. Eng. J.,53, 75–87.
Zhao, G. B., Shi, Y. F., Yu, H. R., 2000. Chaos prediction of pressure fluctuation in fluidized bed.Journal of Chemical Industry and Engineering,51(5), 660–665 (in Chinese).
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Project supported by the Science and Engineering Foundation of SINOPEC, China (X599029)
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Gui-bing, Z., Ji-zhong, C. & Yong-rong, Y. Study on the nature of pressure signals in a bubbling fluidized bed. J. Zhejiang Univ.-Sci. 3, 435–439 (2002). https://doi.org/10.1631/BF02839486
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DOI: https://doi.org/10.1631/BF02839486