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赵伟 李万平. 壁湍流相干结构尺度及边界层内的SL标度律[J]. 力学学报, 2007, 23(1): 23-36. DOI: 10.6052/0459-1879-2007-1-2005-215
引用本文: 赵伟 李万平. 壁湍流相干结构尺度及边界层内的SL标度律[J]. 力学学报, 2007, 23(1): 23-36. DOI: 10.6052/0459-1879-2007-1-2005-215
Wei Zhao. Experimental studies on SL scaling law and spatial scales of coherent structures in near-wall turbulent boundary layer[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 23-36. DOI: 10.6052/0459-1879-2007-1-2005-215
Citation: Wei Zhao. Experimental studies on SL scaling law and spatial scales of coherent structures in near-wall turbulent boundary layer[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 23-36. DOI: 10.6052/0459-1879-2007-1-2005-215

壁湍流相干结构尺度及边界层内的SL标度律

Experimental studies on SL scaling law and spatial scales of coherent structures in near-wall turbulent boundary layer

  • 摘要: 利用高分辨率、高帧率PIV系统对湍流边界层中相干结构的多种空间尺度和边界层内SL标度律在不同尺度下的具体表达形式进行了实验研究. 实验在两个动量损失厚度雷诺数(Re_\theta=628.5和Re_\theta=1032.9)下测量平板湍流边界层中缓冲层、对数区和外区的二维瞬时速度场. 应用小波分析以及传统的统计学方法,在垂直于平板和平行于平板的平面内考察平板湍流边界层中存在的相干结构的流向和展向尺度,并与已知的相干结构尺度实验结果进行了对比分析.利用在动量损失厚度雷诺数628.5下测得的数据,对多种脉动结构(脉动速度结构等)的空间关系及其标度律进行了研究. 第2项工作直接利用湍流边界层空间速度分布,对多种流场尺度结构内部的She-Leveque(简称SL)标度律及自相似律进行了验证. 结果表明,各单一流场尺度结构内部,流向脉动速度\pmb u'、法向脉动速度\pmb v'及脉动涡分量\d \pmb v'/\d \pmb x的统计结构量均存在明显的标度律,标度指数的形式与自相似律和SL标度律均非常吻合,只是常数随流场尺度的不同而不同,且呈现一定的规律性. 但对于结构量的五阶矩随距离l的研究表明,自相似律和SL标度律成立的范围并不完全一致,同时标度律成立的范围大小与流场尺度有明显关系.

     

    Abstract: In this paper, a PIV system is used to measure the scales oflarge scale coherent structures in the turbulent boundary layer of a flatplate. The streamwise and spanwise scales of coherent structures atRe_\theta =628.5 and 1032.9 are obtained by wavelet analysis andtraditional statistic methods. Multi-scalespatial vector distributions of \pmb u', \pmb v' and \d \pmbv' / \d \pmb x obtained by wavelet analysis in theturbulent boundary layer at Re_\theta =628.5 are used to verify the SLscaling law and the self-similarity law. It is found that at asingle scale of the flow field, the three statistical structures are matchedwell with the SL law and the self-similarity law, respectively, but theparameters of the SL law are not unique, but varying with flow scales.From the relation between S_5, and l (the distance), inertia ranges are foundnot the same for the SL scaling law and the self-similarity law, butvarying also with the scale.

     

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