完全发展的非对称槽道湍流的标度指数研究

蒋剑波; 邱翔; 卢志明; 刘宇陆

完全发展的非对称槽道湍流的标度指数研究

上海大学上海市应用数学和力学研究所,上海 200072

基金项目: 国家自然科学基金资助项目(10272071;10472063)

详细信息

作者简介:
蒋剑波(1974- ),男,河北保定人,博士;刘宇陆(联系人.Tel/Fax:+86-21-56332507;E-mail:ylliu@yc.shu.edu.cn).

中图分类号: O357.5
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- 文章访问数: 2262
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- 被引次数: 0
出版历程
- 收稿日期: 2003-09-02
- 修回日期: 2004-12-03
- 刊出日期: 2005-03-15

Scaling Exponents in Fully Developed Asymmetric Channel Flow

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 以子波变换为分析工具，研究了完全发展的非对称槽道湍流的局部标度指数和整体标度指数．其中整体标度指数通过正交子波和广义自相似定律得到，其结果表明非对称槽道流动呈现出与对称槽道流极为不同的间歇性，随着壁面距离的增大，横向脉动速度与流向脉动速度呈现出不同的间歇性，而且间歇性并非一直减弱．另外，比较分析了几种不同方法得到的局部标度指数，发现连续子波方法计算局部标度指数并不可靠，对于湍流研究中出现的负局部标度指数的情况需要慎重考虑．
- 湍流逆梯度输运(CGT) /
- 标度率 /
- 子波分析
Abstract: Wavelet analysis is applied to study the global and local scaling exponents in fully developed asymmetric channel flow. Global exponents are calculated by orthogonal wavelets and Extended Scaling Similarity(ESS). The results show that the flow in an asymmetric channel flow exhibits different characteristics of intermittence from that in a symmetric flow. It is also shown that the intermittence property of the streamwise fluctuations is different from that of vertical fluctuations, and the intermittence does not decay with the increase of the distance from the wall. In addition, the Continuous Wavelet Transform(CWT) method is found to be unreliable to calculate the local scaling components. Finally, it is pointed out that the existence and the significance of negative local scaling components need further study.
- turbulent counter-gradient-transport(CGT) /
- scaling exponent /
- wavelet analysis

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参考文献(20)

[1]	Frisch U.Turbulence[M].Cambridge:Cambridge University Press, 1995.
[2]	SHE Zhen-su,Leveque E. Universal scaling laws in fully developed turbulence[J].Physics Review Letter,1994,73(3):336—339. doi: 10.1103/PhysRevLett.73.336
[3]	毕卫涛,陈凯,魏庆鼎.湍流标度律的实验研究[J]. 流体力学实验与测量,2001,15(2):71—77.
[4]	Onorato M, Camussi R, Iuso G. Small scale intermittency and bursting in a turbulent channel flow[J].Physics Review E,2000,61(2):1447—1454. doi: 10.1103/PhysRevE.61.1447
[5]	Bacry E, Arneodo A, Frisch U,et al. Wavelet analysis of fully developed turbulence data and measurement of scaling exponents[A].In:Lesieur M, Métais O,Eds.Turbulence and Coherent Structures[C].Kluwer Academic Publishers,1990,203—208.
[6]	姜楠.子波变换在实验流体力学中的应用[J].流体力学实验与测量,1997,11(1):12—19.
[7]	李栎,许春晓,张兆顺.利用子波分析对平壁湍流猝发现象的研究[J].力学学报,2001,33(2):153—162.
[8]	Katul G G,Vidakovic B, Albertson J D. Estimating global and local scaling exponents in turbulent flows using wavelet transformations[J].Physics of Fluids,2001,13:241—250. doi: 10.1063/1.1324706
[9]	姜楠,王振东,舒玮.子波分析辨识壁湍流猝发事件的能量最大准则[J]. 力学学报, 1998,29(4):406—411.
[10]	李栎,许春晓,崔桂香,等.壁湍流结构的二维子波分析[J].力学学报,2001,33(4):433—441.
[11]	Jaffard S. On lacunary wavelet series[J].The Annals of Applied Probability,2000,10(1):313—329. doi: 10.1214/aoap/1019737675
[12]	Yamada M, Ohkitani K. Orthonormal wavelet expansion and its application to turbulence[J].Progress of Theoretical Physics,1990,83：819—823. doi: 10.1143/PTP.83.819
[13]	Mouri H, Kubotani H, Fujitani T,et al.Wavelet analyses of velocity in laboratory isotropic turbulence[J].J Fluid Mech,1999,389:229—254. doi: 10.1017/S0022112099004942
[14]	LU Zhi-ming,LIU Yu-lu,JIANG Jian-bo.Experimental study on turbulent characteristics in the negative transport region of asymmetric plane channel flow[J].Acta Mechanica Sinica,2001,17(2):125—132. doi: 10.1007/BF02487600
[15]	Benzi R, Ciliberto S, Tripiccione R,et al. Extended self-similarity in turbulent flows[J].Phys Rev E,1993,48(1):29—32. doi: 10.1103/PhysRevE.48.R29
[16]	Farge M.Wavelet transform and their applications to turbulence[J].Annu Rev Fluid Mech,1992,232:469—478.
[17]	Camussi R, Barbagallo D, Gui G,et al.Transverse and longitudinal scaling laws in non-homogeneous low Re turbulence[J].Phys Fluids,1996,8(5):1181—1191. doi: 10.1063/1.868909
[18]	Lévy Véhel J, Daoudi K. Generalized IFS for signal processing[R]. IEEE DSP Workshop,Loen, Norway,1996.
[19]	Kolwankar K M, Lévy Véhel J. A time domain characterization of the fine local regularity of functions[J].Journal of Fourier Analysis and Applications,2002,8(4):319—334. doi: 10.1007/s00041-002-0016-3
[20]	Canus, C. Large deviation multifractal spectrum estimation[A].In:Proceedings of International Wavelets Conference[C].Tangier: Kluwer Academic Publishers,1998，281—286.

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完全发展的非对称槽道湍流的标度指数研究

作者简介:
蒋剑波(1974- ),男,河北保定人,博士;刘宇陆(联系人.Tel/Fax:+86-21-56332507;E-mail:ylliu@yc.shu.edu.cn).

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Scaling Exponents in Fully Developed Asymmetric Channel Flow

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完全发展的非对称槽道湍流的标度指数研究

作者简介: 蒋剑波(1974- ),男,河北保定人,博士;刘宇陆(联系人.Tel/Fax:+86-21-56332507;E-mail:ylliu@yc.shu.edu.cn).

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出版历程

Scaling Exponents in Fully Developed Asymmetric Channel Flow

计量

出版历程

目录

作者简介:
蒋剑波(1974- ),男,河北保定人,博士;刘宇陆(联系人.Tel/Fax:+86-21-56332507;E-mail:ylliu@yc.shu.edu.cn).