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雷诺应力各向异性涡黏模型的层析TRPIV测量

ISSN号：0459-1879
期刊名称：力学学报
时间：0
页码：213-221
分类：O357.43[理学—流体力学;理学—力学] O357.52[理学—流体力学;理学—力学]
作者机构：[1]天津大学力学系,天津300072, [2]天津市现代工程力学重点实验室,天津300072
相关基金：国家自然科学基金（10832001,10872145）,中国科学院力学研究所非线性国家重点实验室对外开放课题和天津大学科研创新基金资助项目.
相关项目：尾迹引起的边界层旁路转捩机理及其控制的实验研究

作者：姜楠|管新蕾|于培宁|Jiang Nan~(*,+,2) Guan Xinlei~* Yu Peining~* *(Dep|

关键词：壁湍流相干结构, 局部平均速度结构函数, 平均速度变形率, 雷诺应力, 各向异性涡黏模型, coherent structure in wall-bounded turbulence, locally averaged velocity structure function, meanvelocity strain rate, Reynolds stress, anisotropic eddy-viscosity model

中文摘要：

利用层析TRPIV测量水洞中平板湍流边界层3D-3C速度场的高分辨率时间序列数据库．提出了空间局部平均多尺度速度结构函数的新概念，描述湍流多尺度涡结构的空间拉伸、压缩、剪切变形和旋转．用空间局部平均多尺度速度结构函数对湍流脉动速度进行了空间多尺度分解．用空间流向局部平均多尺度速度结构函数，根据湍流多尺度涡结构在流向的拉伸和压缩物理特征，提出了新的湍流相干结构条件采样方法，检测并提取了层析TRPIV数据中相干结构“喷射”和“扫掠”事件中的脉动速度、平均速度变形率、雷诺应力等物理量的空间拓扑形态．通过研究平均速度变形率各分量与雷诺应力各分量之间的空间相位差异，肯定了壁湍流相干结构雷诺应力各向异性复涡黏模型的合理性．

英文摘要：

The time sequences dataset of 3D-3C flow field of turbulent boundary layer in a water tunnel by tomographic TRPIV were employed to put forward the new concept of spatial locally-averaged velocity structure function of turbulence that describes the spacial dilation, compression, shear deformation and rotation of the multi-scale turbulent eddy structure. According to the physical characteristics of the multi-scale vortex structures＇ stretch and compression in turbulent flow, a new conditional sampling method of coherent structure, based on the concept of multi-scMe spatial locally averaged velocity structure function along the longitudinal direction, was proposed to extract the spatiM topology of physical quantities such as fluctuating velocity, mean velocity strain rate and Reynolds stress during the process of coherent structure burst in TRPIV dataset. In this paper, the relationship between mean velocity strain rate and Reynolds stress was studied. The validity of the anisotropic eddy viscosity model was confirmed for coherent structure Reynolds stress in wall-bounded turbulence through investigating the spatial phase difference between Reynolds stress components and mean velocity strain rate components.

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