Chaotic Characteristics of Bubbles Rising with Coalescences in Pseudoplastic Fluid  

作　　者：姜韶堃 马友光 范文元 杨珂 李怀志 

机构地区：[1]State Key Laboratory of chemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China [2]Laboratoire des Sciences du Genie Chimique, CNRS-ENSIC-INPL, 1, rue Grandville, BP 451, 54001 Nancy cedex, France

出　　处：《Chinese Journal of Chemical Engineering》2010年第1期18-26,共9页中国化学工程学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China （20476073）, the Opening Project of State Key Laboratory of Chemical Engineering （SKL-ChE-08B03） and the Program of Introducing Talents of Discipline to Universities （B06006）.

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.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 

分 类 号：TP274.2[自动化与计算机技术—检测技术与自动化装置] TV131.32[自动化与计算机技术—控制科学与工程]