中文摘要：

与在 pseudoplastic 伴随结合升起的水泡的混乱特征水的 carboxymethylcellulose 钠(CMC ) 答案借助于弄平的假 Wigner-Ville 分发和 Wigner-Hough 分发被学习。水泡经过的时间的信号被测量利用一个光导的数据获得系统。当水泡结合发生了，信号的弄平的假 Wigner-Ville 分发表明信号能根据频率领域的分发特征被划分成低频率、高周波的范围和转变范围，它反映了液体的旋涡运动，液体速度和在信号测量的另外的随机的部件的高频率变化，并且水泡升起分别地与结合伴随了。然而，水泡结合在更低的位置发生了，水泡运动的频率范围在更高煤气的 flowrate 下面变得宽，当当 CMC 集中增加了时，水泡运动的频率范围变得狭窄时。水泡运动的典型动力学例如频率，分叉和混乱，能容易以 Wigner-Hough 分发被发现。

英文摘要：

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.