留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

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[J]. 应用数学和力学, 2005, 26(3): 267-273.
引用本文: 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[J]. 应用数学和力学, 2005, 26(3): 267-273.
JIANG Jian-bo, QIU Xiang, LU Zhi-ming, LIU Yu-lu. Scaling Exponents in Fully Developed Asymmetric Channel Flow[J]. Applied Mathematics and Mechanics, 2005, 26(3): 267-273.
Citation: JIANG Jian-bo, QIU Xiang, LU Zhi-ming, LIU Yu-lu. Scaling Exponents in Fully Developed Asymmetric Channel Flow[J]. Applied Mathematics and Mechanics, 2005, 26(3): 267-273.

完全发展的非对称槽道湍流的标度指数研究

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

Scaling Exponents in Fully Developed Asymmetric Channel Flow

  • 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.
  • [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.
  • 加载中
计量
  • 文章访问数:  2432
  • HTML全文浏览量:  134
  • PDF下载量:  632
  • 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

目录

    /

    返回文章
    返回