单泡罩塔板上电导探针测试信号的小波分析
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摘要
泡罩塔是板式塔的一种,因其特有的“升气管——泡罩”结构,使得前人对其的研究远没有象对筛板塔的研究那样深入。本文采用双头电导探针对单泡罩塔板上泡罩的鼓泡情况进行了测试,并对探针测试信号进行了小波变换和能谱分析,结果表明:单泡罩鼓泡在齿缝速度为8.45～10.65m/s范围内有一不变的主频,约4.5Hz;电导探针测试信号的平均小波能谱和尺度服从幂律关系,能谱指数β的值在1.6332～2.1273之间;单泡罩塔板上探针测试信号具有分形特征,分形维数为1.4364～1.6834。
Bubble-cap tray is a sort of plate tower. Owing to its particular "lift pipe-bubble-cap" configuration, up to now, study on bubble-cap tray has not been done thoroughly yet. The time-series measured by double-sensor conductivity probe on single bubble-cap tray plate have been analyzed by using the wavelet transform and energy spectrum. It has been found that firstly, there lies in an invariable frequency(it is about 4. 5Hz)for bubbling of single bubble-cap when the gas velocity through rack gap ranges from 8.45m/s to 10.65m/s; secondly, the relationship between wavelet energy spectrum of the time-series measured by conductivity probe and scale follows power law, moreover the value of energy spectrum exponent is 1.6332 -2. 1273; finally, the test signals possess fractal characteristic, their fractal dimension varies from 1.4364 to 1.6834.
Bubble-cap tray is a sort of plate tower. Owing to its particular "lift pipe-bubble-cap" configuration, up to now, study on bubble-cap tray has not been done thoroughly yet. The time-series measured by double-sensor conductivity probe on single bubble-cap tray plate have been analyzed by using the wavelet transform and energy spectrum. It has been found that firstly, there lies in an invariable frequency(it is about 4. 5Hz)for bubbling of single bubble-cap when the gas velocity through rack gap ranges from 8.45m/s to 10.65m/s; secondly, the relationship between wavelet energy spectrum of the time-series measured by conductivity probe and scale follows power law, moreover the value of energy spectrum exponent is 1.6332 -2. 1273; finally, the test signals possess fractal characteristic, their fractal dimension varies from 1.4364 to 1.6834.
引文
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8 时钧,汪家鼎.化学工程手册(上卷).第二版.北京:化学工业出版社,1996．
9 刘海峰,吴韬,王辅臣,于遵宏.应用小波分析研究湍流相干结构(Ⅰ)小波分析辨识相干结构的能量最大准则.化工学报,2000,(6) :761-765．
10 刘海峰.应用小波分析研究射流与撞击流中的相干结构.上海:华东理工大学,1999．
11 谢和平,张永平.分形几何-数学基础与应用.重庆:重庆大学出版社,1991．
12 刘式达.分形和多分形的面面观.力学与实践,1993,(5) :10-21．
2 Chen Minheng, Cong Dezi and Fang Tunan. Chemical Engineering Principle (subvolumn). Beijing: Chemical Industry Press, 2000．
3 Yang Jian. An Experimental Investigation on Interfacial Parameters and Turbulence Structure in Horizontal Gas-liquid Bubbly Flows. Xin: Xin Jiaotong University, 2002．
4 Zheng Zhizhen and Shen Ping. Wavelet Transform and Application of Mailab Tool. Beijing: Earthquake Press, 2001．
5 Cheng Zhengring. Arithmetic and Application of Wavelet Analysis. Xin: Xin Jiaotong University Press,1999．
6 Perrier V, Philipovitch T and Basdevant C. Wavelet spectra compared to fourier spectra. J Math Phys, 1995, 36(3) : 1506-1519．
7 Frisch U. Turbulence: the legacy of A N Kolmogorov. Cambridge University Press, 1995．
8 Shi Jun and Wang Jiading. Chemical Engineering Manual.Beijing: Chemical Industry Press, 1996．
9 Liu Haifeng, Wu Tao, Wang Fuchen, Gong Xinand and Yu Zunhong. Coherent structure of turbulence based on wavelet analysis(Ⅰ) Determining coherent structure with energy maxima criterion. Journal of Chemical Engineering, 2000, (6) :761-765．
10 Liu Haifeng. Research the Coherent Structure of Jet Flow and Impinging Streams with Wavelet Analysis. Shanghai: East China University of Science and Technology, 1999．
11 Xie Heping and Zhang Yongping. Fractal Geometry-Foundation of Mathematics and Application. Chongqing: Chongqing University, 1991．
12 Liu Shida. Summarization of fractal and multi-fractal. Mechanics and Practice, 1993, (5) : 10-21．
2 陈敏恒,丛德滋,方图南.化工原理(下册).北京:化学工业出版社,2000．
3 杨建.水平管内汽液两相泡状流相界面参数及紊流结构的实验研究. 西安:西安交通大学,2002．
4 郑治真,沈萍.小波变换及其MATLAB工具的应用.北京:地震出版社,2001．
5 程正兴.小波分析算法与应用.西安:西安交通大学出版社,1999．
8 时钧,汪家鼎.化学工程手册(上卷).第二版.北京:化学工业出版社,1996．
9 刘海峰,吴韬,王辅臣,于遵宏.应用小波分析研究湍流相干结构(Ⅰ)小波分析辨识相干结构的能量最大准则.化工学报,2000,(6) :761-765．
10 刘海峰.应用小波分析研究射流与撞击流中的相干结构.上海:华东理工大学,1999．
11 谢和平,张永平.分形几何-数学基础与应用.重庆:重庆大学出版社,1991．
12 刘式达.分形和多分形的面面观.力学与实践,1993,(5) :10-21．
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