Skip to main content
SpringerLink
Log in

Liutex identification on hairpin vortex structures in a channel based on msfle and moving-PIV

  • Article
  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The spatiotemporal evolution of hairpin vortex structures in a fully developed turbulent boundary layer is investigated qualitatively and quantitatively by using two image methods. In this paper, the moving single-frame and long-exposure (MSFLE) image method is used to intuitively track the evolution process of a hairpin vortex, while the moving particle image velocimetry (moving-PIV) method is applied for obtaining a moving velocity field for quantitative analysis. According to the structural characteristics of the hairpin vortex, an inclined light sheet with an appropriate inclination of 53° is arranged to capture the complete hairpin vortex structure at Reθ = 97–194. In addition, the core size and the rotational strength of a hairpin vortex are further defined and quantified by the Liutex vector method. The evolution process of a complete hairpin vortex structure observed by MSFLE shows that the shear along the normal direction leads to an increasing strength of the hairpin vortex, accompanied by a lifting vortex head and a distance decrease between two vortex legs during the dissipation period. By combining moving-PIV with the Liutex identification, the spatiotemporal evolution of four typical regions of a hairpin vortex projecting into a 53° cross-section is obtained. The results show that the process from the generation to the dissipation of a single hairpin vortex can be well characterized and recorded by the Liutex based on the core size and rotational intensity, and the evolution process is consistent with the MSFLE result. According to the statistics of vortex core size and rotation intensity along time, the evolution of the hairpin vortex necks and legs can be described as a process of enhancement followed by dissipation. For the vortex head, its evolution maintains longer attributed to its far-from-wall position, which consists of an absolute enhancement process (stage 1) with an increasing rotation strength and a constant core size, and an absolute dissipation (stage 2) with a decreasing rotation strength and a constant core size.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Adrian R. J., Meinhart C. D., Tomkins C. D. Vortex organization in the outer region of the turbulent boundary layer [J]. Journal of Fluid Mechanics, 2000, 422(1): 1–54.

    Article  MathSciNet  Google Scholar 

  2. Christensen K. T., Adrian R. J. tatistical evidence of hairpin vortex packets in wall turbulence [J]. Journal of Fluid Mechanics, 2001, 431: 433–443.

    Article  Google Scholar 

  3. Robinson S. K. Coherent motions in the turbulent boundary layer [J]. Annual Review of Fluid Mechanics, 1991, 23: 601–639.

    Article  Google Scholar 

  4. Adrian R. J. Hairpin vortex organization in wall turbulence [J]. Physics of Fluids, 2007, 19(4): 041301.

    Article  Google Scholar 

  5. Jodai Y., Elsinga G. E. Experimental observation of hairpin auto-generation events in a turbulent boundary layer [J]. Journal of Fluid Mechanics, 2016, 795: 611–633.

    Article  MathSciNet  Google Scholar 

  6. Wang K., Li B., Liu L. et al. Experimental measurement of coherent structures in turbulent boundary layers using moving time-resolved particle image velocimetry [J]. Physics of Fluids, 2020, 32(11): 115102.

    Article  Google Scholar 

  7. Abed N., Hassan H. F., Al-Damook A. et al. Experimental and numerical investigations for turbulent air flow characteristics of circular orifice plate [J]. IOP Conference Series: Materials Science and Engineering, 2020, 881(1): 012050.

    Article  Google Scholar 

  8. Durst F., Zanoun E. Experimental investigation of near-wall effects on hot-wire measurements [J]. Experiments in Fluids, 2002, 33(1): 210–218.

    Article  Google Scholar 

  9. Choi K. S. Near-wall structure of a turbulent boundary layer with riblets [J]. Journal of Fluid Mechanics, 1989, 208: 417–458.

    Article  Google Scholar 

  10. Djenidi L., Antonia R. A., Amielh M. et al. A turbulent boundary layer over a two-dimensional rough wall [J]. Experiments in Fluids, 2008, 44(1): 37–47.

    Article  Google Scholar 

  11. So S., Morikita H., Takagi S. et al. Laser Doppler velocimetry measurement of turbulent bubbly channel flow [J]. Experiments in Fluids, 2002, 33(1): 135–142.

    Article  Google Scholar 

  12. Loppinet B., Dhont J. K. G., Lang P. Near-field laser Doppler velocimetry measures near-wall velocities [J]. The European Physical Journal E, 2012, 35(7): 62.

    Article  Google Scholar 

  13. Carlier J., Stanislas M. Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry [J]. Journal of Fluid Mechanics, 2005, 535: 143–188.

    Article  MathSciNet  Google Scholar 

  14. Herpin S., Wong C. Y., Stanislas M. et al. Stereoscopic PIV measurements of a turbulent boundary layer with a large spatial dynamic range [J]. Experiments in Fluids, 2008, 45(4): 745–763.

    Article  Google Scholar 

  15. Jiang X. Y., Lee C., Smith C. et al. Experimental study on low-speed streaks in a turbulent boundary layer at low Reynolds number [J]. Journal of Fluid Mechanics, 2020, 903: A6.

    Article  Google Scholar 

  16. Fuchs T., Hain R., Kähler C. J. Doble-frame 3D-PTV using a tomographic predictor [J]. Experiments in Fluids, 2016, 57(11): 174.

    Article  Google Scholar 

  17. Schröder A., Schanz D., Michaelis D. et al. Advances of PIV and 4D-PTV” shake-the-box” for turbulent flow analysis-the flow over periodic hills [J]. Flow, Turbulence and Combustion, 2015, 95(2): 193–209.

    Article  Google Scholar 

  18. Schobesberger J., Worf D., Lichtneger P. et al. Role of low-order proper orthogonal decomposition modes and large-scale coherent structures on sediment particle entrainment [J]. Journal of Hydraulic Research, 2021, https://www.tandfonline.com/doi/full/10.1080/00221686.2020.1869604.

  19. Haller G. Yuan G. Lagrangian coherent structures and mixing in two-dimensional turbulence. Physica D: Nonlinear Phenomena, 2000, 147(3): 352–370.

    Article  MathSciNet  Google Scholar 

  20. Haller G. An objective definition of a vortex [J]. Journal of Fluid Mechanics, 2005, 525: 1–26.

    Article  MathSciNet  Google Scholar 

  21. Haller G., Hadjighasem A., Farazmand M. et al. Defining coherent vortices objectively from the vorticity [J]. Journal of Fluid Mechanics, 2016, 795: 136–173.

    Article  MathSciNet  Google Scholar 

  22. Epps B. Review of vortex identification methods [C]. 55th AIAA aerospace sciences meeting, Grapevine, Taxas, USA, 2017.

  23. Hunt J. C. R., Wray A. A., Moin P. Eddies, stream, and convergence zones in turbulent flows [R]. Proceedings of the Summer Program. Center for turbulence research report CTR-S88, 1988, 193–208.

  24. Gao Y., Liu C. Rortex and comparison with eigenvalue-based vortex identification criteria [J]. Physics of Fluids, 2018, 30(8): 085107.

    Article  Google Scholar 

  25. Dong X., Gao Y., Liu C. New normalized Rortex/vortex identification method [J]. Physics of Fluids, 2019, 31(1): 011701.

    Article  Google Scholar 

  26. Gao Y., Liu C. Rortex based velocity gradient tensor decomposition [J]. Physics of Fluids, 2019, 31(1): 011704.

    Article  MathSciNet  Google Scholar 

  27. Wang Y. Q., Gao Y. S., Liu J. M. et al. Explicit formula for the Liutex vector and physical meaning of vorticity based on the Liutex-Shear decomposition [J]. Journal of Hydrodynamics, 2019, 31(3): 464–474.

    Article  Google Scholar 

  28. Liu C., Gao Y. Liutex-based and other mathematical, computational and experimental methods for turbulence structure (Vol. 2) [M]. Sharjah, The United Arab Emirates: Bentham Science Publishers.

  29. Dong X., Dong G., Liu C. Study on vorticity structures in late flow transition [J]. Physics of Fluids, 2018, 30(10): 104108.

    Article  Google Scholar 

Download references

Acknowledgments

This work was partly accomplished by using Liutex, developed by Dr. Chaoqun Liu at the University of Texas at Arlington.

Author information

Authors and Affiliations

  1. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Xin-ran Tang, Xiang-rui Dong, Xiao-shu Cai & Wu Zhou

  2. Key Laboratory of Multiphase Flow and Heat Transfer in Shanghai Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Xin-ran Tang, Xiang-rui Dong, Xiao-shu Cai & Wu Zhou

Authors
  1. Xin-ran Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiang-rui Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiao-shu Cai
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wu Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiang-rui Dong.

Additional information

Projects supported by the National Natural Science Foundation of China (Grant No. 51906154), the National Science and Technology Major Project (Grant No. 2017-V-0016-0069) and the Natural Science Foundation of Shanghai (Grant No. 21ZR1443700).

Biography

Xin-ran Tang (1996-), Female, Master

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tang, Xr., Dong, Xr., Cai, Xs. et al. Liutex identification on hairpin vortex structures in a channel based on msfle and moving-PIV. J Hydrodyn 33, 1119–1128 (2021). https://doi.org/10.1007/s42241-021-0096-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42241-021-0096-7

Key words

Search

Navigation