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In the paper the paths of bubbles emitted from the bras nozzle with inner diameter equal to 1.1 mm have been analyzed. The mean frequency of bubble departure was in the range from 1 to 36 Hz. Bubble paths have been recorded using a high speed camera. The image analysis technique has been used to obtain the bubble paths for different mean frequencies of bubble departures. The Fourier, wavelet analysis and recurrence plots have been used to determine the strength of interac- tion between bubbles in column. It has been found that the influence of previously departing bubbles on trajectory of next bubble in the column can be significant for fb > 30 Hz, in this case the bubble paths become less periodic and more instable. In this case the distance between subsequent departing bubbles (S/D) becomes close to 1. It causes that the vertical interaction between departing bubbles is enough strong to change the dynamical properties of bubble paths.
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Tom
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71--77
Opis fizyczny
Bibliogr. 13 poz., rys.
Twórcy
Bibliografia
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- 2. Hedengren, K. H. (1988), Pattern Recognition, 9th International Conference on 14-17 Nov. 1988, vol. 2, 963 – 965.
- 3. Kikuchi R. et al. (1997), Diagnosis of chaotic dynamics of bubble motion in a bubble column, Chemical Engng Sc., 52, 3741-3745.
- 4. Luewisutthichat W., Tsutsumi A., Yoshida K. (1997), Chaotic hydrodynamics of continuous single-bubble flow system, Chemical Engng Sc., 52, 3685-3691.
- 5. Marwan N., Romano M. C., Thiel M., Kurths J. (2007), Recurrence Plots for the Analysis of Complex Systems, Physics Reports, 438 (5-6), 237-329, Recurrence Plots And Cross Recurrence Plots (www.recurrence-plot.tk).
- 6. Mosdorf R., Shoji M. (2003), Chaos in bubbling – nonlinear analysis and modelling, Chemical Engng Sc., 58, 3837-3846.
- 7. Mosdorf R., Wyszkowski T. (2010), Using the Recurrence Plot in analysis of bubble paths in a bubble column, CHISA 2010, CD version
- 8. Schuster, H. G. (1993), Deterministic chaos, An introduction, PWN, Warsaw (in Polish).
- 9. Torrence C., Compo G. P. (1998), A practical guide to wavelet analysis, Bull. Am. Meteorolog. Soc., 79 (1).
- 10. Torrence C., Compo G. P. (2005), A Practical Guide to Wavelet Analysis, with Significance and Confidence Testing, Available from: http://paos.colorado.edu/research/wavelets/.
- 11. Vazquez A., Manasseh R., Sánchez R. M., Metcalfe G.(2008), Experimental comparison between acoustic and pressure signals from a bubbling flow, Chemical Engineering Science, 63, 5860-5869.
- 12. Zenit R., Magnaudet J. (2009), Measurements of the streamwise vorticity in the wake of an oscillating bubble, International Journal of Multiphase Flow, 35, 195–203.
- 13. Zhang L., Shoji M. (2001), Aperiodic bubble formation from submerged orifice, Chemical Engng Sc., 56,5371-5381.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0048-0012