湍流边界层内标度律的研究  

Experimental Research of Scaling Law in Turbulent Boundary Layer

作　　者：张珂[1] 李万平[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074

出　　处：《湘潭大学自然科学学报》2007年第2期46-51,共6页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金资助项目(10372033)

摘　　要：利用高分辨率、高帧率PIV系统对湍流边界层中的脉动速度结构函数及标度律进行了实验研究.实验是在动量损失厚度雷诺数Reθ=3069下测量平板湍流边界层的二维瞬时速度场.首先,应用小波分析以及传统的统计学方法,对流向脉动速度增量和法向速度增量的概率密度函数进行研究,并和gauss正态分布进行比较,说明在湍流边界层中存在着数量众多的大幅值间歇性事件发生.然后,利用在动量损失厚度雷诺数Reθ=3069下测得的数据,对多种脉动结构的标度律进行了研究,结果表明流向脉动速度u′、法向脉动速度v′及脉动涡分量dv′/dx的统计结构量均存在明显的标度律,且标度指数与自相似律和SL标度律基本吻合,只是随尺度的不同而略有不同,且呈现一定的规律性.In this paper PIV system was used to measure the probability density function and scaling law in the turbulent boundary layer of a flat plate. The probability density function at Reθ = = 3 069 were obtained by wavelet analysis and traditional statistic methods. The vector distribution of u＇, v＇ and dv＇/dx obtained by wavelet analysis in turbulent boundary layer at Reθ = 3 069 were used to verify sealing law and the self- similarity law. By the research, it was found that the tails of the probability density function of u＇ and v＇ deviate the Gaussian distribution, but the three statistical structures are matched SL law and the self- similarity law.

关 键 词：平板湍流边界层 概率密度函数 PIV 标度律 

分 类 号：O357.5[理学—流体力学]