Applied Mathematics and Mechanics

, Volume 36, Issue 9, pp 1121–1130 | Cite as

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

  • Haiping Tian
  • Nan Jiang
  • Yongxiang Huang
  • Shaoqiong Yang
Article
First Online:
Received:
Revised:

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

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

Chinese Library Classification

O357.5+2 O357.5+4 

2010 Mathematics Subject Classification

76F40 
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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Haiping Tian
    • 1
  • Nan Jiang
    • 1
  • Yongxiang Huang
    • 2
  • Shaoqiong Yang
    • 1
  1. 1.Department of MechanicsTianjin UniversityTianjinChina
  2. 2.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiChina

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