Similarity between chaos analysis and frequency analysis of pressure fluctuations in fluidized beds

Chemical Engineering Science

Volumn 59, Issue 8-9, 2004, Pages 1829-1840

  van der Schaaf, J ^a   van Ommen, J R ^b   Takens, F ^c   Schouten, J C ^a   van den Bleek, C M ^b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Average cycle time; Average frequency; Correlation entropy; Kolmogorov entropy; Nonlinear; Power spectral density; Time series analysis

Indexed keywords

CHAOS THEORY; ENTROPY; FLOW OF FLUIDS; FLUIDIZED BEDS; FUNCTIONS;

DYNAMIC BEHAVIORS; POWER SPECTRAL DENSITY (PSD); PRESSURE FLUCTUATIONS;

CHEMICAL ENGINEERING;

ANALYSIS; CHAOS; ENTROPY; FLUIDIZED BED; PRESSURE;

EID: 2442431417     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.01.036     Document Type: Article

References (20)

1. Berger T. Rate Distortion Theory 1971 Prentice-Hall Englewood Cliffs, NJ
2. Drahos J. Quo vadis, the analysis of time series in reactor engineering? Transactions of the Institution of Chemical Engineers 81 A 2003 411-412
3. Gaspard P. Wang X.J. Noise, chaos, and (ε,τ)-entropy per unit time Physics Reports 235 1993 291-343
4. Grassberger P. Proccaccia I. Characterization of strange attractors Physical Review Letters A 50 1983 346-349
5. Hilborn R.C. Chaos and Nonlinear Dynamics 1994 Oxford University Press New York
6. Johnsson F. Zijerveld R.C. Schouten J.C. van den Bleek C.M. Leckner B. Characterization of fluidization regimes by time-series analysis of pressure fluctuations International Journal of Multiphase Flow 26 2000 663-715
7. Kantz H. Olbrich E. Scalar observations from a class of high-dimensional chaotic systems: Limitations of the time delay embedding Chaos 7 1997 423-429
8. Schouten J.C. Takens F. van den Bleek C.M. Estimation of the dimension of a noisy attractor Physical Review E 50 1994 1851-1861
9. Schouten J.C. Takens F. van den Bleek C.M. Maximum likelihood estimation of the entropy of an attractor Physical Review E 49 1994 126-129
10. Theiler J. Estimating fractal dimension Journal of the Optical Society of America A 7 1990 1055-1073
11. van den Bleek C.M. Coppens M.O. Schouten J.C. Application of chaos analysis to multiphase reactors Chemical Engineering Science 57 2002 4763-4778
12. van Ommen J.R. Schouten J.C. vander Stappen M.L.M. van den Bleek C.M. Response characteristics of probe-transducer systems for pressure measurements in gas-solid fluidized beds: How to prevent pitfalls in dynamic pressure measurements Powder Technology 106 1999 199-218
13. van der Schaaf, J., 2002. Dynamics of gas-solids fluidized beds-analysis of pressure fluctuations. Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands.
14. van der Schaaf J. Schouten J.C. van den Bleek C.M. Origin, propagation and attenuation of pressure waves in gas-solid fluidized beds Powder Technology 95 1998 220-233
15. van der Schaaf J. Johnsson F. Schouten J.C. van den Bleek C.M. Fourier analysis of nonlinear pressure fluctuations in gas-solids flow in cfb risers observing solids structures and gas/particle turbulence Chemical Engineering Science 54 1999 5541-5546
16. van der Schaaf, J., Schouten, J.C., Johnsson, F., van den Bleek, C.M., 1999b. Multiple modes of bed mass oscillation in gas-solids fluidized beds. In: International Conference on Fluidized Bed Combustion, Vol. 15, Savannah (GA), USA, ASME, New York.
17. van der Schaaf J. Schouten J.C. Johnsson F. van den Bleek C.M. Non-intrusive determination of bubble and slug length scales in fluidized beds by decomposition of the power spectral density of pressure time series International Journal of Multiphase Flow 28 2002 865-880
18. vander Stappen, M.L.M., 1996. Chaotic hydrodynamics of fluidized beds. Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands.
19. Welch P.D. The use of fast Fourier transform for the estimation of power spectra: A method based on the averaging over short, modified periodograms IEEE Transactions Audio Electroacoustics AU-15 1967 70-73
20. Zijerveld, R.C., 1998. Chaotic hydrodynamics of large and small circulating fluidized beds. Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands.