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湍流边界层各向异性张量模式的实验研究
引用本文:王维,管新蕾,姜楠.湍流边界层各向异性张量模式的实验研究[J].气动实验与测量控制,2013(5):11-15.
作者姓名:王维  管新蕾  姜楠
作者单位:[1]天津大学机械工程学院力学系,天津300072 [2]天津市现代工程力学重点实验室,天津300072 [3]中国科学院力学研究所非线性力学国家重点实验室,北京100080 [4]南开大学-天津大学刘徽应用数学中心,天津300072
基金项目:国家自然科学基金资助(11272233,11332006); 国家重点基础研究发展计划(973计划)资助(NO.2012CB720101); 天津大学自主创新科研基金; 中国科学院力学研究所非线性力学国家重点实验室开放课题
摘    要:使用高时间分辨率粒子图像测速技术在水槽内精细测量平板湍流边界层内不同流向、法向位置的瞬时速度矢量空间场的时间序列信号。利用实验数据对湍流各向异性的涡黏张量模式进行了实验研究,给出了湍流边界层不可压缩槽道湍流中各向异性的涡黏张量各分量的空间分布规律。各向异性的涡黏张量分量的空间分布揭示了流向平均速度的法向梯度对雷诺应力三个分量的不同贡献。涡黏张量三个分量空间上的不同规律说明对涡黏张量的各向异性的考虑是合理的,而各向同性的涡黏模型不适宜描述剪切湍流雷诺应力的物理本质。

关 键 词:湍流边界层  湍流模式  雷诺应力  涡黏张量  粒子图像测速

Experimental investigation on the anisotropic eddy viscosity tensor modeling for turbulent boundary layer flow
Authors:WANG Wei  GUAN Xin-lei  JIANG Nan
Institution:1. Department of Mechanics, School of Mechanical Engineering, Tian]in University, Tianiin 300072, China 2. Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300072, China; 3. State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Acade- my of Science, Beijing 100080, China; 4. Nankai University-Tianiin University Center for Liu Hui Applied Mathematics, Tianjin 300072, China)
Abstract:The time sequences of instantaneous velocity vector fields at different streamwise and vertical locations in a turbulent boundary layer had been measured by time-resolved particle image velocimetry(TRPIV).The research on the anisotropic eddy viscosity tensor model was carried out using the experimental dataset.The distributions in wall-normal direction for each component of anisotropic eddy viscosity tensor were presented.The results indicate the distinct contributions from the vertical gradient of the mean streamwise velocity to each component of Reynolds stress.The different distributions of each component of eddy viscosity tensor reveal that the anisotropic eddy viscosity tensor model is reasonable,and the isotropic eddy viscosity scalar model is inappropriate to describe the anisotropic nature of Reynolds stress in turbulent shear flow.
Keywords:turbulent boundary layer  turbulence model  Reynolds stress  eddy viscosity tensor  time-resolved particle image velocimetry
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