Skip to main content
SpringerLink
Log in

Secondary vortex street in the intermediate wake of a circular cylinder

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Particle image velocimetry measurements are carried out in the wake of a circular cylinder at two values of the Reynolds number (3460 and 5800), based on the free stream velocity and the cylinder diameter, to investigate the spatial organization of vortical motions in the intermediate wake. The proper orthogonal decomposition method (POD) is used to extract information from the vorticity data. While the coherent motion associated with the von Kármán vortex street is well reflected in the first two POD modes which account for about 8% of the total enstrophy, the motion associated with the secondary vortex street is captured in the third and fourth POD modes which account for only about 2.4% of the total enstrophy. The measurements show that the secondary vortex street only alternates in space. This is significantly different from the far wake where there is continuous switching between symmetric and antisymmetric arrangements about the centreline (e.g. Bisset et al., J Fluid Mech 218:439–461, 1990), the alternative regime being nearly twice as frequent as the opposite regime.

Graphical abstract

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  • Antonia RA, Mi J (1998) Approach towards self-preservation of turbulent cylinder and screen wakes. Exp Thermal Fluid Sci 17:277–284

    Article  Google Scholar 

  • Antonia RA, Browne LWB, Bisset DK, Fulachier L (1987) A description of the organized motion in the turbulent far wake of a cylinder at low Reynolds number. J Fluid Mech 184:423–444

    Article  Google Scholar 

  • Berkooz G, Holmes P, Lumley JL (1993) The proper orthogonal decomposition in the analysis of turbulent flows. Annu Rev Fluid Mech 25(1):539–575

    Article  MathSciNet  Google Scholar 

  • Bisset DK, Antonia RA, Browne LWB (1990) Spatial organization of large structures in the turbulent far wake of a cylinder. J Fluid Mech 218:439–461

    Article  Google Scholar 

  • Browne LWB, Antonia RA, Shah DA (1989) On the origin of the organised motion in the turbulent far-wake of a cylinder. Exp Fluids 7(7):475–480

    Article  Google Scholar 

  • Chen JG, Zhou Y, Zhou TM, Antonia RA (2016) Three-dimensional vorticity, momentum and heat transport in a turbulent cylinder wake. J Fluid Mech 809:135–167

    Article  Google Scholar 

  • Cimbala JM (1984) Large structure in the far wake of two-dimensional bluff bodies, Ph.D. Thesis. California Institute of Technology, Pasadena

    Google Scholar 

  • Cimbala JM (2006) Large structure in the far wakes of two-dimensional bluff bodies. J Fluid Mech 84(190):265–298

    Google Scholar 

  • Dynnikova GY, Dynnikov YA, Guvernyuk SV (2016) Mechanism underlying Kármán vortex street breakdown preceding secondary vortex street formation. Phys Fluids 28(5):171–185

    Article  Google Scholar 

  • Feng L, Wang J, Pan C (2011) Proper orthogonal decomposition analysis of vortex dynamics of a circular cylinder under synthetic jet control. Phys Fluids 23:014106

    Article  Google Scholar 

  • Keffer JF (1965) The uniform distortion of a turbulent wake. J Fluid Mech 22(1):135–159

    Article  MathSciNet  Google Scholar 

  • Kumar B, Mittal S (2012) On the origin of the secondary vortex street. J Fluid Mech 711(711):641–666

    Article  MathSciNet  MATH  Google Scholar 

  • Lefeuvre N, Thiesset F, Djenidi L, Antonia RA (2014) Statistics of the turbulent kinetic energy dissipation rate and its surrogates in a square cylinder wake flow. Phys Fluids 26(095):104

    Google Scholar 

  • Lumley JL (1967) The structure of inhomogeneous turbulent flows. In: Yaglam AM, Tatarsky VI (eds) Proceedings of the international colloquium on the fine scale structure of the atmosphere and its influence on radio wave propagation, Moscow, pp 166–178

  • Matsui T, Okude M (1981) Vortex pairing of a Karman vortex street. In: Patterson GK, Zakin JL (eds) Proceedings of seventh biennial symposium on turbulence. University of Missouri-Rolla, Rolla, pp 303–310

  • Matsui T, Okude M (1983) Formation of the secondary vortex street in the wake of a circular cylinder. Springer, Berlin

    Book  Google Scholar 

  • Mi J, Antonia RA (1999) Evolution of centreline temperature skewness in a circular cylinder wake. Int Commun Heat Mass Transf 2:45–53

    Article  Google Scholar 

  • Mizushima J, Hatsuda G, Akamine H, Inasawa A, Asai M (2013) Rapid annihilation of the Kármán vortex street behind a rectangular cylinder. J Phys Soc Jpn 83(1):014,402

    Article  Google Scholar 

  • Papailiou DD, Lykoudis PS (1974) Turbulent vortex streets and the entrainment mechanism of the turbulent wake. J Fluid Mech 62(1):11–31

    Article  MATH  Google Scholar 

  • Sirovich L (1987) Turbulence and the dynamics of coherent structures. Part I: coherent structures. Q Appl Math 45:561–571

    Article  MATH  Google Scholar 

  • Taneda S (1983) Visual observations on the amplification of artificial disturbances in turbulent shear flows. Phys Fluids 26:2801–2806

    Article  Google Scholar 

  • Tang SL, Antonia RA, Djenidi L, Zhou Y (2015a) Complete self-preservation along the axis of a circular cylinder the far-wake. J Fluid Mech 786:253–274

    Article  MathSciNet  MATH  Google Scholar 

  • Tang SL, Djenidi L, Antonia RA, Zhou Y (2015b) Comparison between velocity- and vorticity-based POD methods in a turbulent wake. Exp Fluids 56(8):169

    Article  Google Scholar 

  • Thiesset F, Antonia RA, Danaila L (2013) Scale-by-scale turbulent energy budget in the intermediate wake of two-dimensional generators. Phys Fluids 25:115105

    Article  Google Scholar 

  • Townsend AA (1979) Flow patterns of large eddies in a wake and in a boundary layer. J Fluid Mech 95(3):515–537

    Article  Google Scholar 

  • Williamson C (1996) Vortex dynamics in the cylinder wake. Annu Rev Fluid Mech 28(1):477–539

    Article  MathSciNet  Google Scholar 

  • Williamson CHK, Prasad A (2006) A new mechanism for oblique wave resonance in the natural far wake. J Fluid Mech 256(256):269–313

    MathSciNet  Google Scholar 

  • Zhou Y, Antonia RA (1992) Convection velocity measurements in a cylinder wake. Exp Fluids 13:63–70

    Article  Google Scholar 

  • Zhou Y, Antonia RA (1995) Memory effects in a turbulent plane wake. Exp Fluids 19:112–120

    Article  Google Scholar 

  • Zhou Y, Zhang HJ, Yiu MW (2002) The turbulent wake of two side-by-side circular cylinders. J Fluid Mech 458:303–332

    Article  MATH  Google Scholar 

Download references

Acknowledgements

YZ wishes to acknowledge support given to him from Research Grants Council of Shenzhen Government through grant JCYJ20150625142543469 and NSFC through Grant 11632006. SL Tang wishes to acknowledge support given to him from NSFC through grant 11702074.

Author information

Authors and Affiliations

  1. Institute for Turbulence-Noise-Vibration Interaction and Control, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, People’s Republic of China

    S. L. Tang & Y. Zhou

  2. Digital Engineering Laboratory of Offshore Equipment, Shenzhen, 518055, People’s Republic of China

    S. L. Tang & Y. Zhou

  3. Discipline of Mechanical Engineering School of Engineering, The University of Newcastle, Callaghan, NSW, 2308, Australia

    L. Djenidi & R. A. Antonia

Authors
  1. S. L. Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Djenidi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. A. Antonia
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Y. Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. L. Tang.

Additional information

Publisher's Note

Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tang, S.L., Djenidi, L., Antonia, R.A. et al. Secondary vortex street in the intermediate wake of a circular cylinder. Exp Fluids 59, 119 (2018). https://doi.org/10.1007/s00348-018-2577-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-018-2577-1

Search

Navigation