Statistical and Deterministic Chaos Analysis of Pressure Fluctuations in a Fluidized Bed of Polymer Powders

See Hoon Lee; Sang Done Kim; Soung Hee Park

Korean Journal of Chemical Engineering, Vol.19, No.6, 1020-1025, November, 2002

DOI10.1007/BF02707227 Export Citation

Statistical and Deterministic Chaos Analysis of Pressure Fluctuations in a Fluidized Bed of Polymer Powders

See Hoon Lee , Sang Done Kim^†, and Soung Hee Park¹

Department of Chemical and Biomolecular Engineering and Energy & Environment Research Center, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea
¹Department of Chemical Engineering, Woosuk University, Wanju-Gun, Chonbuk 565-701, Korea

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The absolute and differential pressure fluctuations in gas-solid fluidized beds have been analyzed by statistical and deterministic chaos methods. Linear low-density polyethylene (LLDPE) particles with a mean diameter of 1.23 mm were used as a fluidizing material. The statistical methods are composed of the mean, standard deviation, skewness and kurtosis, and the deterministic methods are composed of autocorrelation, mutual information function, pseudo-phase space and correlation dimension. The minimum slug velocity of LLDPE particles is found to be 0.34 m/s by using the statistical and deterministic methods. As slugs appear and grow with increasing gas velocity, pressure fluctuations in the fluidized bed of LLDPE are oscillated and more periodic.

Keywords:LLDPE;Minimum Slugging Velocity;Pressure Fluctuation;Deterministic Chaos Analysis

[References]

Bai D, Bi HT, Grace JR, AIChE J., 43(5), 1357 (1997)
Cho H, Han G, Ahn G, Korean J. Chem. Eng., 18(4), 561 (2001)
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Lee SH, Lee DH, Kim SD, Korean J. Chem. Eng., 19(2), 351 (2002)
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Packard NH, Crutchfield JP, Farmer JD, Shaw RS, Phys. Rev. Lett., 49, 712 (1980)
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[Referenced By]

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[1] Bai D, Bi HT, Grace JR, AIChE J., 43(5), 1357 (1997)

[2] Cho H, Han G, Ahn G, Korean J. Chem. Eng., 18(4), 561 (2001)

[3] Fraser AM, Swinney HL, Phys. Rev., A, 33, 134 (1986)

[4] Grassberger P, Procaccia I, Phys. Rev., A, 28, 2591 (1983)

[5] Karamavruc AI, Clark NN, Halow JS, Powder Technol., 84(3), 247 (1995)

[6] Karamavruc AI, Clark NN, Trans. ASME, 118, 214 (1996)

[7] Karamavruc AI, Clark NN, Chem. Eng. Sci., 52(3), 357 (1997)

[8] Lee GS, Kim SD, J. Chem. Eng. Jpn., 21, 515 (1988)

[9] Lee SH, Lee DH, Kim SD, Korean J. Chem. Eng., 18(3), 387 (2001)

[10] Lee SH, Lee DH, Kim SD, Korean J. Chem. Eng., 19(2), 351 (2002)

[11] Mansuripur M, "Introduction to Information Theory," Prentice-Hall, Englewood Cliffs, N.J. (1987)

[12] Packard NH, Crutchfield JP, Farmer JD, Shaw RS, Phys. Rev. Lett., 49, 712 (1980)

[13] Roux JC, Simoyi H, Swinney HL, Physica D, 8, 257 (1983)

[14] Shannon CE, Weaver W, "The Mathematical Theory of Communication," University of Illinois Press, Urbana (1949)

[15] Takens F, Lecture Notes Mathematics, 898, 103 (1981)

[16] Thompson JMT, Stewart HB, "Nonlinear Dynamics and Chaos," Wiley, New York (1987)