Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid

›› 2010, Vol. 18 ›› Issue (1): 18-26.DOI:

• FLUID FLOW AND TRANSPORT PHENOMENA • Previous Articles Next Articles

Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid

JIANG Shaokun¹, MA Youguang¹, FAN Wenyuan¹, YANG Ke¹, LI Huaizhi²

1. State Key Laboratory of Chemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China;
2. Laboratoire des Sciences du G閚ie Chimique, CNRS-ENSIC-INPL, 1, rue Grandville, BP 451, 54001 Nancy cedex, France

Received:2009-04-21 Revised:2009-12-29 Online:2010-02-28 Published:2010-02-28
Supported by:
Supported by the National Natural Science Foundation of China(20476073);the Opening Project of State Key Laboratory ofChemical Engineering(SKL-ChE-08B03);the Program of Introducing Talents of Discipline to Universities(B06006)

Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid

姜韶堃¹, 马友光¹, 范文元¹, 杨珂¹, 李怀志²

1. State Key Laboratory of Chemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China;
2. Laboratoire des Sciences du G閚ie Chimique, CNRS-ENSIC-INPL, 1, rue Grandville, BP 451, 54001 Nancy cedex, France

通讯作者: MA Youguang, E-mail: ygma@tju.edu.cn
作者简介:
基金资助:
Supported by the National Natural Science Foundation of China(20476073);the Opening Project of State Key Laboratory ofChemical Engineering(SKL-ChE-08B03);the Program of Introducing Talents of Discipline to Universities(B06006)

Abstract

Abstract: The chaotic characteristics of bubbles rising with accompanying coalescences in pseudoplastic aqueous carboxymethylcellulose sodium(CMC)solution were studied by means of smoothed pseudo Wigner-Ville distribution and Wigner-Hough distribution.The temporal signal of bubble passage was measured utilizing a photoconductive data acquisition system.As bubble coalescence occurred,the smoothed pseudo Wigner-Ville distribution of the signal revealed that the signal could be divided into low-frequency and high-frequency ranges and the transition range according to the distribution feature of frequency domain,which reflected eddy motion of fluid,high frequency fluctuations of fluid velocity and other random components measured in the signal,and bubbles rising accompanied with coalescences,respectively.However,bubble coalescence occurred in the lower position and the frequency range of bubbles motion became wide under higher gas flowrate,while the frequency range of bubbles motion became narrow when the CMC concentration increased.The typical dynamics of bubbles motion,such as periodicity,bifurcation and chaos,could be easily found in terms of the Wigner-Hough distribution.

Key words: bubble, pseudoplastic fluid, coalescence, Wigner analysis, chaos

摘要： The chaotic characteristics of bubbles rising with accompanying coalescences in pseudoplastic aqueous carboxymethylcellulose sodium(CMC)solution were studied by means of smoothed pseudo Wigner-Ville distribution and Wigner-Hough distribution.The temporal signal of bubble passage was measured utilizing a photoconductive data acquisition system.As bubble coalescence occurred,the smoothed pseudo Wigner-Ville distribution of the signal revealed that the signal could be divided into low-frequency and high-frequency ranges and the transition range according to the distribution feature of frequency domain,which reflected eddy motion of fluid,high frequency fluctuations of fluid velocity and other random components measured in the signal,and bubbles rising accompanied with coalescences,respectively.However,bubble coalescence occurred in the lower position and the frequency range of bubbles motion became wide under higher gas flowrate,while the frequency range of bubbles motion became narrow when the CMC concentration increased.The typical dynamics of bubbles motion,such as periodicity,bifurcation and chaos,could be easily found in terms of the Wigner-Hough distribution.

关键词: bubble, pseudoplastic fluid, coalescence, Wigner analysis, chaos

JIANG Shaokun, MA Youguang, FAN Wenyuan, YANG Ke, LI Huaizhi. Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid[J]. , 2010, 18(1): 18-26.

姜韶堃, 马友光, 范文元, 杨珂, 李怀志. Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid[J]. , 2010, 18(1): 18-26.

References

1 Jin, H.B., Wang, M., Williams, R.A., “The effect of sparger geometry on gas bubble flow behaviors using electrical resistance tomography”, Chin. J. Chem. Eng., 14, 127-131 (2006).
2 Niu, G., Jia, Z.H., Wang, J., “Void fraction measurement in oil-gas transportation pipeline using an improved electrical capacitance tomography system”, Chin. J. Chem. Eng., 12, 476-481 (2004).
3 Dekée, D., Carreau, P.J., Mordarski, J., “Bubble velocity and coalescence in viscoelastic liquids”, Chem. Eng. Sci., 41, 2273-2283 (1986).
4 Dekée, D., Chhabra, R.P., Dajan, A., “Motion and coalescence of gas bubbles in non-Newtonian polymer solutions”, J. Non-Newtonian Fluid Mech., 37, 1-18 (1990).
5 Li, H.Z., Mouline, Y., Funfschilling, D., Marchal, P., Choplin, L., Midoux, N., “Evidence for in-line bubble interactions in non-Newtonian fluids”, Chem. Eng. Sci., 53, 2219-2230 (1998).
6 Li, H.Z., Frank, X., Funfschilling, D., Mouline, Y., “Towards theunderstanding of bubble interactions and coalescence in non-Newtonian fluids: A cognitive approach”, Chem. Eng. Sci., 56, 6419-6425 (2001).
7 Al-Masry, W.A., Ali, E.M., “Identification of hydrodynamics characteristics in bubble columns through analysis of acoustic sound measurements—Influence of the liquid phase properties”, Chem. Eng. Process., 46, 127-138 (2007).
8 Radl, S., Tryggvason, G., Khinast, J.G., “Flow and mass transfer of fully resolved bubbles in non-Newtonian fluids”, AIChE J., 53, 1861-1878 (2007).
9 Bakshi, B.R., Zhong, H., Jiang, P., Fan, L.S., “Analysis of flow in gas-liquid bubble columns using multi-resolution methods”, Trans. IChemE., 73a, 608-614 (1995).
10 Mudde, R.F., Groen, J.S., van Den Akker, H.E.A., “Liquid velocity field in a bubble column: LDA experiments”, Chem. Eng. Sci., 52, 4217-4224 (1997).
11 Mudde, R.F., Saito, T., “Hydrodynamical similarities between bubble column and bubbly pipe flow”, J. Fluid Mech., 437, 203-228 (2001).
12 Park, S.H., Kang, Y., Kim, S.D., “Wavelet transform analysis of pressure fluctuation signals in a pressurized bubble column”, Chem. Eng. Sci., 56, 6259-6265 (2001).
13 Wen, J.P., Jia, X.Q., Zhou, H., Liu, B.T., Li, R., “Wavelet transform of velocity-time data for the analysis of turbulent structures in a trayed bubble column”, Chin. J. Chem. Eng., 12, 622-627 (2004).
14 He, Z., Zhang., D.M., Cheng, B.C., Zhang, W.D., “Pressure-fluctuation analysis of a gas-solid fluidized bed using the Wigner distribution”, AIChE J., 43, 345-356 (1997).
15 Sasic, S., Leckner, B., Johnsson, F., “Time-frequency investigation of different modes of bubble flow in a gas–solid fluidized bed”, Chem. Eng. J., 121, 27-35 (2006).
16 Zhang, J.S., Lü, J.F., Wang, X., Zhang, H., Yue, G.X., Suda, T., Sato, J., “Characterization of pressure signals in fluidized beds loaded with large particles using Wigner distribution analysis: Feasibility of diagnosis of agglomeration”, Chin. J. Chem. Eng., 15, 24-29 (2007).
17 Mureithi, N.W., Nakamura, T., Hirota, K., Murata, M., Utsumi, S., Kusakabe, T., Takamatsu, H., “Dynamics of an in-line tube array subjected to steam-water cross-flow (Ⅱ) Unsteady fluid forces”, J. Fluids Struct., 16, 137-152 (2002).
18 Klein, F.L., Seleghim, J.P., Hervieu, E., “Time-frequency analysis of intermittent two-phase flows in horizontal piping”, J. Braz. Soc. Mech. Sci. Eng., 26, 174-179 (2004).
19 Liu, X., Jiang, N., “Passive control of turbulent jet flow with wedged nozzle”, Chin. J. Chem. Eng., 13, 451-456 (2005).
20 Coutanceau, M., Hajjam, M., “Viscoelastic effect on the behaviour of an air bubble rising axially in a tube”, Appl. Sci. Res., 38, 199-207 (1982).
21 de Souza Neto, E.P., Custaud, M.A., Frutoso, J., Somody, L., Gharib, C., Fortrat, J.O., “Smoothed pseudo Wigner-Ville distribution as an alternative to Fourier transform in rats”, Auton. Neurosci., 87, 258-267 (2001).
22 Xue, W., Sun, X.W., “Target detection of vehicle volume detecting radar based on Wigner-Hough transform”, J. Electromagn. Waves Appl., 21, 1513-1523 (2007).
23 Carranza, N., Cristóbal, G., Bayerl, P., Neumann, H., “Motion estimation of magnetic resonance cardiac images using the Wigner-Ville and Hough transforms”, Opt. Spectrosc., 103, 877-885 (2007).

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Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid

Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid

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