Hilbert-Huang transform, Hurst and chaotic analysis based flow regime identification methods for an airlift reactor

Chemical Engineering Journal

Volumn 181-182, Issue , 2012, Pages 570-580

  Luo, Lijia ^a   Yan, Ying ^a   Xie, Ping ^b   Sun, Junwei ^b   Xu, Yuanyuan ^a   Yuan, Jingqi ^a  

^a Department of Automation   (China)

^b HeBei Welcome Pharmaceutical Co Ltd   (China)

Author keywords

Airlift reactor; Chaotic analysis; Flow regime; Hilbert Huang transform; Hurst exponent; Pressure fluctuation

Indexed keywords

AIR-LIFT REACTORS; CHAOTIC ANALYSIS; FLOW REGIMES; HILBERT HUANG TRANSFORMS; HURST EXPONENTS; PRESSURE FLUCTUATION;

BUBBLE COLUMNS; LYAPUNOV METHODS; SIGNAL PROCESSING;

WAVELET TRANSFORMS;

EID: 84856319590     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2011.11.093     Document Type: Article

References (34)

1. Chisti M.Y. Airlift Bioreactors 1989, Elsevier Applied Science, London and New York.
2. Luo L.J., Liu F.N., Xu Y.Y., Yuan J.Q. Hydrodynamics and mass transfer characteristics in an internal loop airlift reactor with different spargers. Chem. Eng. J. 2011, 175:494-504.
3. Xu Y.Y., Luo L.J., Yuan J.Q. CFD simulations to portray the bubble distribution and the hydrodynamics in an annulus sparged air-lift bioreactor. Can. J. Chem. Eng. 2011, 89:360-368.
4. BlaŽej M., KiŠa M., MarkoŠ J. Scale influence on the hydrodynamics of an internal loop airlift reactor. Chem. Eng. Process. 2004, 43:1519-1527.
5. Heijnen J.J., Hols J., van der Lans R.G.J.M., van Leeuwen H.L.J.M., Mulder A., Weltevrede R. A simple hydrodynamic model for the liquid circulation velocity in a full scale three phase airlift reactor. Chem. Eng. Sci. 1997, 52:2527-2539.
6. Letzel H.M., Schouten J.C., Krishna R., van den Bleek C.M. Characterization of regimes and regime transitions in bubble columns by chaos analysis of pressure signal. Chem. Eng. Sci. 1997, 52:4447-4459.
7. Zhang W.H., Li X.G. Origin of pressure fluctuations in an internal-loop airlift reactor and its application in flow regime detection. Chem. Eng. Sci. 2009, 64:1009-1018.
8. Schouten J.C., van den Bleek C.M. Monitoring the quality of fluidization using the short-term predictability of pressure fluctuations. AIChE J. 1998, 44:48-60.
9. Van Ommen J.R., Coppens M.O., Van den Bleek C.M., Schouten J.C. Early warning of agglomeration in fluidized beds by attractor comparison. AIChE J. 2000, 46:2183-2197.
10. Briens L.A., Ellis N. Hydrodynamics of three-phase fluidized bed systems examined by statistical, fractal, chaos and wavelet analysis methods. Chem. Eng. Sci. 2005, 60:6094-6106.
11. Vial C., Camarasa E., Poncin S., Wild G., Midoux N., Bouillard J. Study of hydrodynamic behaviour of bubble columns and external loop airlift reactors through analysis of pressure fluctuations. Chem. Eng. Sci. 2000, 55:2957-2973.
12. AI-Masry W., Ali E., AI-Kalbani M. Prediction of regime transitions in bubble columns using acoustic and differential pressure signals. Chem. Eng. J. 2007, 133:139-149.
13. Zhao G.B., Yang Y.R. Multiscale resolution of fluidized-bed pressure fluctuations. AIChE J. 2003, 49:869-882.
14. Luo L.J., Xu Y.Y., Yuan J.Q. Identification of flow regime transitions in an annulus sparged internal loop airlift reactor based on higher order statistics and Winger trispectrum. Chem. Eng. Sci. 2011, 66:5224-5235.
15. Lin T.J., Juang R.C., Chen Y.C., Chen C.C. Prediction of flow transitions in a bubble columns by chaotic time series analysis of pressure fluctuation signals. Chem. Eng. Sci. 2001, 56:1057-1065.
16. Ellis N., Briens L.A., Grace J.R., Bi H.T., Lim C.J. Characterization of dynamic behaviour in gas-solid turbulent fluidized bed using chaos and wavelet analyses. Chem. Eng. J. 2003, 96:105-116.
17. Zhang W.H., Li H., Li X.G. Identification of regime transitions in an inner-loop airlift reactor using local bubble-induced pressure fluctuation signals. Chem. Eng. J. 2010, 162:296-300.
18. Fu C.C., Fan L.S., Wu W.T. Flow regime transitions in an internal-loop airlift reactor. Chem. Eng. Technol. 2007, 30:1077-1082.
19. Huang N.E., Shen Z., Long S.R., Wu M., Shih H., Zheng Q., Yeng N., Tung C., Liu H. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. Roy. Soc. Lond. A 1998, 454:903-995.
20. Huang N.E., Shen Z., Long S.R. A new view of nonlinear water waves: the Hilbert spectrum. Annu. Rev. Fluid Mech. 1999, 31:417-457.
21. Hahn S.L. Hilbert Transforms in Signal Processing 1996, Artech House, Boston.
22. Espinosa A.G., Rosero J.A., Cusido J., Romeral L., Ortega J.A. Fault detection by means of Hilbert-Huang transform of the stator current in a PMSM with demagnetization. IEEE Trans. Energy Convers. 2010, 25:312-318.
23. Peng Z.K., Tse P.W., Chu F.L. A comparison study of improved Hilbert-Huang transform and wavelet transform: application to fault diagnosis for rolling bearing. Mech. Syst. Signal Process. 2005, 19:974-988.
24. Dong Y.F., Li Y.M., Xiao M.K., Lai M. Analysis of earthquake ground motions using an improved Hilbert-Huang transform. Soil Dyn. Earthq. Eng. 2008, 28:7-19.
25. Ding H., Huang Z.Y., Song Z.H., Yan Y. Hilbert-Huang transform based signal analysis for the characterization of gas-liquid two-phase flow. Flow Meas. Instrum. 2007, 18:37-46.
26. Hurst H.E. Methods of using long-term storage in reservoirs. Trans. Am. Soc. Civil Eng. 1951, 116:770-808.
27. van den Bleek C.M., Schouten J.C. Deterministic chaos: a new tool in fluidized bed design and operation. Chem. Eng. J. Biochem. Eng. J. 1993, 53:75-87.
28. Takens F. Lecture Notes in Mathematics 1981, vol. 898. Springer, New York, p. 366.
29. Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Phys. D: Nonlinear Phenom. 1983, 9:189-208.
30. Grassberger P., Procaccia I. Estimation of the Kolmogorov entropy from a chaotic signal. Phys. Rev. A 1983, 28:2591-2593.
31. Rosentein M.T., Collins J.J., DeLuca C.J. A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 1993, 65:117-134.
32. Cao L. Practical method for determining the minimum embedding dimension of a scalar time series. Physica D 1997, 110:43-50.
33. Bai D., Issangya A.S., Grace J.R. Characteristics of gas-fluidized beds in different flow regimes. Ind. Eng. Chem. Res. 1999, 38:803-811.
34. Chatfield C. The Analysis of Time Series: An Introduction 1984, Chapman and Hall, London.