Skip to main content
SpringerLink
Log in

Dynamics of low-speed streak evolution and interaction in laminar boundary layer

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The present paper presents an experimental effort on the regeneration process of two low-speed laminar streaks in a zero-pressure-gradient laminar boundary layer. Two vertical thin wires separated by a spanwise distance of 30mm are used to introduce disturbances of two rolls of transitional Kármán vortex street to the downstream boundary layer. Both hydrogen bubble visualization and particle image velocimetry (PIV) measurement show that two low-speed streaks are induced through leading-edge receptivity process. As these streaks develop in the downstream, two additional low-speed streaks begin to appear outboard of the flank of the original two, together with complex dynamics of streak splitting and merging. A flow pattern of four streaks aligned along the spanwise direction occurs finally in the far downstream. It is found that besides the mechanisms of streak breakdown, the streak interaction is also an important factor characterizing the instability of low speed streaks and their regeneration process.

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. Klebanoff, P.S.: Effect of freestream turbulence on the laminar boundary layer. Bull Am. Phys. Soc. 10, 1323 (1971)

    Google Scholar 

  2. Goldstein, M.E., Hultgren, L.S.: Boundary-layer receptivity to long-wave free-stream disturbances. Annual Review of Fluid Mechanics 21, 137–166 (1989)

    Article  MathSciNet  Google Scholar 

  3. Schrader, L.U., Brandt, L., Mavriplis, C., et al.: Receptivity to free-stream vorticity of flow past a flat plate with elliptic leading edge. Journal of Fluid Mechanics 653, 245–271 (2010)

    Article  MATH  Google Scholar 

  4. Andersson, P., Berggren, M., Henningson, D.S.: Optimal disturbances and bypass transition in boundary layers. Physics of Fluids 11, 134–150 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  5. Landahl, M.T.: Wave breakdown and turbulence. SIAM Journal on Applied Mathematics 28, 735–756 (1975)

    Article  MATH  Google Scholar 

  6. Trefethen, L.N., Trefethen, A.E., Reddy, S.C., et al.: Hydrodynamic stability without eigenvalues. Science 261, 578–584 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  7. Reddy, S.C., Henningson, D.S.: Energy growth in viscous channel flow. Journal of Fluid Mechanics 252, 209–238 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  8. Luchini, P.: Reynolds-number-independent instability of the boundary layer over a flat surface: Optimal perturbations. Journal of Fluid Mechanics 404, 289–309 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  9. Berlin, S., Henningson, D.S.: A nonlinear mechanism for receptivity of free-stream disturbances. Physics of Fluids 11, 3749–3760 (1999)

    Article  MATH  Google Scholar 

  10. Brandt, L., Henningson, D.S., Ponziani, D.: Weakly non-linear analysis of boundary layer receptivity to free-stream disturbances. Physics of Fluids 14, 1426–1441 (2002)

    Article  MathSciNet  Google Scholar 

  11. Goldstein, M.E., Wundrow, D.W.: On the environmental realizability of algebraically growing disturbances and their relation to klebanoff modes. Theoretical and Computational Fluid Dynamics 10, 171–186 (1998)

    Article  MATH  Google Scholar 

  12. Leib, S.J., Wundrow, D.W., Goldstein, M.E.: Effect of free-stream turbulence and other vortical disturbances on a laminar boundary layer. Journal of Fluid Mechanics 380, 169–203 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  13. Wundrow, D.W., Goldstein, M.E.: Effect on a laminar boundary layer of small-amplitude streamwise vorticity in the upstream flow. Journal of Fluid Mechanics 426, 229–262 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  14. He, G.S., Wang, J.J., Pan, C.: Initial growth of a disturbance in a boundary layer influenced by a circular cylinder wake. Journal of Fluid Mechanics 718, 116–130 (2013)

    Article  MATH  Google Scholar 

  15. Schoppa, W., Hussain, F.: Coherent structure generation in near-wall turbulence. Journal of Fluid Mechanics 453, 57–108 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  16. Andersson, P., Brandt, L., Bottaro, A., et al.: On the breakdown of boundary layer streaks. Journal of Fluid Mechanics 428, 29–60 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  17. Asai, M., Minagawa, M., Nishioka, M.: The instability and breakdown of a near-wall low-speed streak. Journal of Fluid Mechanics 455, 289–314 (2002)

    Article  MATH  Google Scholar 

  18. Brandt, L., Cossu, C., Chomaz, J.M., et al.: On the convectively unstable nature of optimal streaks in boundary layers. Journal of Fluid Mechanics 485, 221–242 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  19. Brandt, L.: Numerical studies of the instability and breakdown of a boundary-layer low-speed streak. European Journal of Mech B/Fluids 26, 64–82 (2007)

    Article  MATH  Google Scholar 

  20. Deng, B.Q., Xu, C.X.: Influence of active control on STG-based generation of streamwise vortices in near-wall turbulence. Journal of Fluid Mechanics 710, 234–259 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  21. Guo, H., Feng, Y.L., Wang, H.W., et al.: Effects of T-S wave amplitude on the control of boundary layer transition by streaks. Theor. Appl. Mech. Lett. 3, 7–042005 (2013)

    Article  Google Scholar 

  22. Wang, J.J., Pan, C., Zhang, P.F.: On the instability and reproduction mechanism of a laminar streak. Journal of Turbulence 10, 1–27 (2009)

    Article  Google Scholar 

  23. Waleffe, F.: On a self-sustaining process in shear flows. Physics of Fluids 9, 883–900 (1997)

    Article  Google Scholar 

  24. Mans, J., de Lange, H.C., van Steenhoven, A.A.: Sinuous breakdown in a flat plate boundary layer exposed to free-stream turbulence. Physics of Fluids 19, 088101 (2007)

    Article  Google Scholar 

  25. Brandt, L., Lange, H.C.: Streak interactions and breakdown in boundary layer flows. Physics of Fluids 20, 024107 (2008)

    Article  Google Scholar 

  26. Pan, C., Wang, J.J., Zhang, P.F., et al.: Coherent structures in bypass transition induced by a cylinder wake. Journal of Fluid Mechanics 603, 367–389 (2008)

    Article  MATH  Google Scholar 

  27. Scarano, F., Riethmuller, M.L.: Advances in iterative multigrid PIV image processing. Experiments in Fluids 29, 51–60 (2000)

    Article  Google Scholar 

  28. Jacobs, R.G., Durbin, P.A.: Shear sheltering and the continuous spectrum of the Orr-Sommerfeld equation. Physics of Fluids 10, 2006–2011 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  29. Smith, C.R., Metzler, S.P.: The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer. Journal of Fluid Mechanics 129, 27–54 (1983)

    Article  Google Scholar 

  30. Tomkins, C.D., Adrian, R.J.: Spanwise structure and scale growth in turbulent boundary layers. Journal of Fluid Mechanics 490, 37–74 (2003)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fluid Mechanics Key Laboratory of Ministry of Education, Beihang University, 100191, Beijing, China

    Si-Chao Deng, Chong Pan & Jin-Jun Wang

Authors
  1. Si-Chao Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chong Pan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jin-Jun Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chong Pan.

Additional information

The project was supported by the National Natural Science Foundation of China (11372001 and 11327202).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Deng, SC., Pan, C. & Wang, JJ. Dynamics of low-speed streak evolution and interaction in laminar boundary layer. Acta Mech Sin 30, 636–645 (2014). https://doi.org/10.1007/s10409-014-0075-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-014-0075-0

Keywords

Search

Navigation