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用局部平均速度结构函数检测湍流边界层多尺度相干结构
引用本文:刘建华,姜楠,王振东,舒玮. 用局部平均速度结构函数检测湍流边界层多尺度相干结构[J]. 应用数学和力学, 2005, 26(4): 456-464
作者姓名:刘建华  姜楠  王振东  舒玮
作者单位:天津大学 力学系,天津 300072
基金项目:国家自然科学基金资助项目(10472081,10232020)
摘    要:测量风洞中平板湍流边界层不同法向位置的流向速度时间序列信号,提出了基于局部多尺度平均意义的湍流多尺度局部平均结构函数的概念,以描述湍流多尺度结构的伸缩变形和相对运动;基于多尺度局部平均结构函数的概念与Harr子波变换的一致性,提出了用湍流多尺度局部平均结构函数的平坦因子检测湍流边界层多尺度相干结构及其间歇性的检测方法,提取近壁区域不同法向位置处多尺度相干结构的条件相位平均波形,以研究多尺度相干结构猝发的动力学过程及其对湍流统计性质的影响.

关 键 词:湍流边界层   相干结构   平坦因子   间歇性   局部平均速度结构函数
文章编号:1000-0887(2005)04-0456-09
收稿时间:2004-02-25
修稿时间:2004-02-25

Multi-Scale Coherent Structures in Turbulent Boundary Layer Detected by Locally Averaged Velocity Structure Functions
LIU Jian-hua,JIANG Nan,WANG Zhen-dong,SHU Wei. Multi-Scale Coherent Structures in Turbulent Boundary Layer Detected by Locally Averaged Velocity Structure Functions[J]. Applied Mathematics and Mechanics, 2005, 26(4): 456-464
Authors:LIU Jian-hua  JIANG Nan  WANG Zhen-dong  SHU Wei
Affiliation:Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
Abstract:The time sequence of longitudinal velocity component at different vertical locations in turbulent boundary layer was finely measured in a wind tunnel. The concept of coarse_grained velocity structure functions, which describes the relative motions of straining and compressing for multi_scale eddy structures in turbulent flows, was put forward based on the theory of locally multi_scale average. Based on the consistency between coarse_grained velocity structure function and Harr wavelet transformation,detecting method was presented, by which the coherent structures and their intermittency was identified by multi_scale flatness factor calculated by locally average structure function. Phase_averaged evolution course for multi_scale coherent eddy structures in wall turbulence were extracted by this conditional sampling to educe scheme. The dynamics course of multi_scale coherent eddy structures and their effects on statistics of turbulent flows were studied.
Keywords:turbulent boundary layer  coherent structure  flatness factor  intermittency  locally averaged velocity structure function
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