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Evolution of Lagrangian coherent structures in a cylinder-wake disturbed flat plate boundary layer

  • Guo-Sheng He (a1), Chong Pan (a1), Li-Hao Feng (a1), Qi Gao (a1) and Jin-Jun Wang (a1)...

Abstract

Evolution of Lagrangian coherent structures (LCS) in a flat plate boundary layer transition induced by the wake of a circular cylinder is investigated. Both hydrogen bubble visualization and particle image velocimetry (PIV) techniques are used. It is found that downstream of the cylinder, the disturbance in the boundary layer experiences a fast growth followed by a slow decay in the transition. Lagrangian coherent structures are revealed by qualitative hydrogen bubble visualizations and quantitative finite-time Lyapunov exponents (FTLE) fields derived from the PIV data. The evolution of the LCS is considered from the very beginning of the transition up to when the boundary layer becomes fully developed turbulent flow. The mean convection velocity and average inclination angle of the LCS are first extracted from the FTLE fields. The streamwise length of the low-speed streaks seems to increase, while their spanwise distance decreases in the boundary layer transition. Proper orthogonal decomposition (POD) of the PIV data shows that low-speed streaks associated with the hairpin vortices and hairpin packets are the dominant coherent structures close to the wall in the transitional and turbulent boundary layer. The POD modes also reveal a variety of scales in the turbulent boundary layer. Moreover, it is found that large-scale coherent structures can modulate the amplitude of the small-scale ones.

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Corresponding author

Email address for correspondence: jjwang@buaa.edu.cn

References

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JFM classification

Type Description Title
VIDEO
Movies

He et al. supplementary movie
Movie 1 – Figure 4:Hydrogen bubble visualization of secondary vortices at the beginning of transition.

 Video (4.1 MB)
4.1 MB
VIDEO
Movies

He et al. supplementary movie
Movie 1 – Figure 4:Hydrogen bubble visualization of secondary vortices at the beginning of transition.

 Video (17.0 MB)
17.0 MB
VIDEO
Movies

He et al. supplementary movie
Movie 2 – Figure 5:Hydrogen bubble time line visualization of a hairpin vortex in the middle stage of transition.

 Video (2.3 MB)
2.3 MB
VIDEO
Movies

He et al. supplementary movie
Movie 2 – Figure 5:Hydrogen bubble time line visualization of a hairpin vortex in the middle stage of transition.

 Video (9.7 MB)
9.7 MB
VIDEO
Movies

He et al. supplementary movie
Movie 3 – Figure 6:Hydrogen bubble time line visualization of hairpin vortex packet in the turbulent boundary layer.

 Video (2.1 MB)
2.1 MB
VIDEO
Movies

He et al. supplementary movie
Movie 3 – Figure 6:Hydrogen bubble time line visualization of hairpin vortex packet in the turbulent boundary layer.

 Video (9.1 MB)
9.1 MB
VIDEO
Movies

He et al. supplementary movie
Movie 4 – Figure 7:Secondary vortices induced by the wake vortices at the beginning of transition

 Video (3.4 MB)
3.4 MB
VIDEO
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He et al. supplementary movie
Movie 4 – Figure 7:Secondary vortices induced by the wake vortices at the beginning of transition

 Video (4.9 MB)
4.9 MB
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He et al. supplementary movie
Movie 5 – Figure 8:A hairpin vortex in the middle stage of boundary layer transition.

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He et al. supplementary movie
Movie 5 – Figure 8:A hairpin vortex in the middle stage of boundary layer transition.

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He et al. supplementary movie
Movie 6 – Figure 9:A hairpin packet in the turbulent boundary layer.

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He et al. supplementary movie
Movie 6 – Figure 9:A hairpin packet in the turbulent boundary layer.

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He et al. supplementary movie
Movie 7 – Figure 10:Another example of hairpin packets in the turbulent boundary layer.

 Video (4.0 MB)
4.0 MB
VIDEO
Movies

He et al. supplementary movie
Movie 7 – Figure 10:Another example of hairpin packets in the turbulent boundary layer.

 Video (5.3 MB)
5.3 MB

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