Wavelet Transform Analysis of Pressure Fluctuation Signals in a Three-Phase Fluidized Bed

Soung Hee Park; Sang Done Kim

Korean Journal of Chemical Engineering, Vol.18, No.6, 1015-1019, November, 2001

DOI10.1007/BF02705635 Export Citation

Wavelet Transform Analysis of Pressure Fluctuation Signals in a Three-Phase Fluidized Bed

Soung Hee Park^†, and Sang Done Kim¹

Department of Chemical Engineering, Woosuk Univ., Chonbuk 565-701, Korea
¹Department of Chemical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea

E-mail:

The wavelet transform based on localized wavelet functions is applicable to analysis of pressure fluctuation signals from different flow regimes of a three-phase fluidized bed, which usually is nonlinear or nonstationary. The pressure fluctuation has been analyzed by resorting to the discrete wavelet transform such as wavelet coefficients, wavelet energy, and time-scale plane. The dominant scale of wavelet coefficients and the highest wavelet energy in the bubble-disintegrating regime are finer than ones in the bubble-coalescence regime. The cells corresponding to fine scale of time-scale plane in bubble-disintegrating regime are more shaded and energetic, while the cells corresponding to coarse scale in bubble-coalescence regime are more energetic. Therefore, the wavelet transform enables us to obtain the frequency content of objects in a three-phase fluidized bed locally in time.

Keywords:Wavelet Transform;Fourier Transform;Three-Phase Fluidized Bed;Pressure Fluctuation;Flow Regime

[References]

Chui CK, "An Introduction to Wavelets Vol. 1, Wavelet Analysis and its Applications," Academic Press, San Diego (1992)
Fan LS, "Gas-Liquid-Solid Fluidization Engineering," Butterworths Publisher, Boston, MA (1989)
Farge M, Annu. Rev. Fluid Mech., 24, 395 (1992)
Han JH, "Hydrodynamic Characteristics of Three Phase Fluidized Beds," Ph.D. Thesis, Korea Advanced Institute of Science and Technology (1990)
Han JH, Kim SD, Chem. Eng. Sci., 48, 1033 (1993)
Kang Y, Woo KJ, Ko MH, Cho YJ, Kim SD, Korean J. Chem. Eng., 16(6), 784 (1999)
Kim SD, Kang Y, "Dispersed Phase Characteristics in Three Phase Fluidized Beds," Encyclopedia of Fluid Mechanics, Mixed-Flow Hydrodynamics - Advances in Engineering Fluid Mechanics Series, 37, 845 (1996)
Kim SH, Han GY, Korean J. Chem. Eng., 16(5), 677 (1999)
Kwon HW, Han JH, Kang Y, Kim SD, Korean J. Chem. Eng., 11(3), 204 (1994)
Lee GS, Kim SD, J. Chem. Eng. Jpn., 21, 515 (1988)
Lee SH, Lee DH, Kim SD, Korean J. Chem. Eng., 18(3), 387 (2001)
Mallat S, "A Wavelet Tour of Signal Processing," Academic Press, New York, NY (1998)
Motard RL, Joseph B, "Wavelet Applications in Chemical Engineering," Kluwer Academic Publishers, Boston (1994)
Otnes RK, Enochson L, "Applied Time Series Analysis," John Wiley & Sons, NY (1978)
Park SH, "Phase Holdups and Pressure Fluctuations in Two-and Three-Phase Fluidized Beds," MS Thesis, Korea Advanced Institute of Science and Technology (1989)
Rioul O, Vetterli M, "Wavelets and Signal Processing," IEEE SP Magazine, 14 (1991)
Wicherhauser MV, "Adapted Wavelet Analysis, from Theory to Software," A.K. Peters Publ. (1994)
Wornell GW, "Wavelet-Based Representations for 1/f Family of Fractal Processes," Proceedings of the IEEE, 81(10), 1428 (1993)

[Referenced By]

[Related Articles]

[1] Chui CK, "An Introduction to Wavelets Vol. 1, Wavelet Analysis and its Applications," Academic Press, San Diego (1992)

[2] Fan LS, "Gas-Liquid-Solid Fluidization Engineering," Butterworths Publisher, Boston, MA (1989)

[3] Farge M, Annu. Rev. Fluid Mech., 24, 395 (1992)

[4] Han JH, "Hydrodynamic Characteristics of Three Phase Fluidized Beds," Ph.D. Thesis, Korea Advanced Institute of Science and Technology (1990)

[5] Han JH, Kim SD, Chem. Eng. Sci., 48, 1033 (1993)

[6] Kang Y, Woo KJ, Ko MH, Cho YJ, Kim SD, Korean J. Chem. Eng., 16(6), 784 (1999)

[7] Kim SD, Kang Y, "Dispersed Phase Characteristics in Three Phase Fluidized Beds," Encyclopedia of Fluid Mechanics, Mixed-Flow Hydrodynamics - Advances in Engineering Fluid Mechanics Series, 37, 845 (1996)

[8] Kim SH, Han GY, Korean J. Chem. Eng., 16(5), 677 (1999)

[9] Kwon HW, Han JH, Kang Y, Kim SD, Korean J. Chem. Eng., 11(3), 204 (1994)

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

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

[12] Mallat S, "A Wavelet Tour of Signal Processing," Academic Press, New York, NY (1998)

[13] Motard RL, Joseph B, "Wavelet Applications in Chemical Engineering," Kluwer Academic Publishers, Boston (1994)

[14] Otnes RK, Enochson L, "Applied Time Series Analysis," John Wiley & Sons, NY (1978)

[15] Park SH, "Phase Holdups and Pressure Fluctuations in Two-and Three-Phase Fluidized Beds," MS Thesis, Korea Advanced Institute of Science and Technology (1989)

[16] Rioul O, Vetterli M, "Wavelets and Signal Processing," IEEE SP Magazine, 14 (1991)

[17] Wicherhauser MV, "Adapted Wavelet Analysis, from Theory to Software," A.K. Peters Publ. (1994)

[18] Wornell GW, "Wavelet-Based Representations for 1/f Family of Fractal Processes," Proceedings of the IEEE, 81(10), 1428 (1993)