Study on local topology model of low/high streak structures in wall-bounded turbulence by tomographic time-resolved particle image velocimetry

doi:10.1007/s10483-015-1978-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (9): 1121-1130.doi: https://doi.org/10.1007/s10483-015-1978-6

Study on local topology model of low/high streak structures in wall-bounded turbulence by tomographic time-resolved particle image velocimetry

Haiping TIAN¹, Nan JIANG¹, Yongxiang HUANG², Shaoqiong YANG¹

1. Department of Mechanics, Tianjin University, Tianjin 300072, China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2014-10-06 修回日期:2015-01-21 出版日期:2015-09-01 发布日期:2015-09-01
通讯作者: Shaoqiong YANG E-mail:shaoqiongy@tju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 1332006, 11272233, 11202122, and 11411130150) and the National Fundamental Research Program of China (973 Pro- gram) (No. 2012CB720101)

Study on local topology model of low/high streak structures in wall-bounded turbulence by tomographic time-resolved particle image velocimetry

Haiping TIAN¹, Nan JIANG¹, Yongxiang HUANG², Shaoqiong YANG¹

1. Department of Mechanics, Tianjin University, Tianjin 300072, China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2014-10-06 Revised:2015-01-21 Online:2015-09-01 Published:2015-09-01
Contact: Shaoqiong YANG E-mail:shaoqiongy@tju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 1332006, 11272233, 11202122, and 11411130150) and the National Fundamental Research Program of China (973 Pro- gram) (No. 2012CB720101)

摘要/Abstract

摘要： The relationship between the bursting event and the low/high-speed streak in the logarithmic law (log-law) region of a turbulent boundary layer is investigated. A tomographic time-resolved particle image velocimetry (TRPIV) system is used to measure the instantaneous three-dimensional-three-component (3D-3C) velocity field. The momentum thickness based Reynolds number is about 2 460. The topological information in the log-law region is obtained experimentally. It is found that the existence of the quadrupole topological structure implies a three-pair hairpin-like vortex packet, which is in connection with the low/high-speed streak. An idealized 3D topological model is then proposed to characterize the observed hairpin vortex packet and low/high-speed streak.

关键词: low/high-speed streak, hairpin vortex, wall turbulence, tomographic time-resolved particle image velocimetry (TRPIV) system, quadrupole topological structure

Abstract: The relationship between the bursting event and the low/high-speed streak in the logarithmic law (log-law) region of a turbulent boundary layer is investigated. A tomographic time-resolved particle image velocimetry (TRPIV) system is used to measure the instantaneous three-dimensional-three-component (3D-3C) velocity field. The momentum thickness based Reynolds number is about 2 460. The topological information in the log-law region is obtained experimentally. It is found that the existence of the quadrupole topological structure implies a three-pair hairpin-like vortex packet, which is in connection with the low/high-speed streak. An idealized 3D topological model is then proposed to characterize the observed hairpin vortex packet and low/high-speed streak.

Key words: hairpin vortex, wall turbulence, low/high-speed streak, quadrupole topological structure, tomographic time-resolved particle image velocimetry (TRPIV) system

中图分类号:

Haiping TIAN, Nan JIANG, Yongxiang HUANG, Shaoqiong YANG. Study on local topology model of low/high streak structures in wall-bounded turbulence by tomographic time-resolved particle image velocimetry[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(9): 1121-1130.

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Study on local topology model of low/high streak structures in wall-bounded turbulence by tomographic time-resolved particle image velocimetry

Study on local topology model of low/high streak structures in wall-bounded turbulence by tomographic time-resolved particle image velocimetry

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