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实验室各向同性湍流速度场中的涡管:对雷诺数的依赖性。

Vortex tubes in velocity fields of laboratory isotropic turbulence: dependence on the Reynolds number.

作者信息

Mouri Hideaki, Hori Akihiro, Kawashima Yoshihide

机构信息

Meteorological Research Institute, Nagamine 1-1, Tsukuba 305-0052, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jan;67(1 Pt 2):016305. doi: 10.1103/PhysRevE.67.016305. Epub 2003 Jan 16.

Abstract

The streamwise and transverse velocities are measured simultaneously in isotropic grid turbulence at relatively high Reynolds numbers Re(lambda) approximately 110-330. Using a conditional averaging technique, we extract typical intermittency patterns that are consistent with velocity profiles of a model for a vortex tube, i.e., Burgers vortex. The radii of the vortex tubes are several of the Kolmogorov length, regardless of the Reynolds number. Using the distribution of an interval between successive enhancements of a small-scale velocity increment, we study the spatial distribution of vortex tubes. The vortex tubes tend to cluster together. This tendency is increasingly significant with the Reynolds number. Using statistics of velocity increments, we also study the energetical importance of vortex tubes as a function of the scale. The vortex tubes are important over the background flow at small scales especially below the Taylor microscale. At a fixed scale, the importance is increasingly significant with the Reynolds number.

摘要

在相对较高的雷诺数Re(λ)约为110 - 330的各向同性网格湍流中,同时测量流向速度和横向速度。使用条件平均技术,我们提取出与涡管模型(即伯格斯涡)的速度剖面一致的典型间歇性模式。无论雷诺数如何,涡管的半径都是几个柯尔莫哥洛夫长度。利用小尺度速度增量连续增强之间的时间间隔分布,我们研究了涡管的空间分布。涡管倾向于聚集在一起。随着雷诺数的增加,这种趋势越来越显著。利用速度增量的统计数据,我们还研究了涡管作为尺度函数的能量重要性。涡管在小尺度上,特别是在泰勒微尺度以下,相对于背景流是重要的。在固定尺度下,随着雷诺数的增加,其重要性越来越显著。

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