Skip to main content

Analysis of the Formation of a Turbulent Spot in a Laminar Boundary Layer

  • Conference paper
Laminar-Turbulent Transition

Part of the book series: IUTAM Symposia ((IUTAM))

  • 485 Accesses

Summary

The process of the formation of a turbulent spot in a laminar boundary layer on a flat plate in incompressible fluid has been analyzed numerically. The initial disturbance is introduced by a local distortion of the plate. The analysis has been made for large Reynolds numbers within the framework of triple-deck theory. All stages of the flow evolution has been traced - through the formation of a linear wave packet from the unstable Tollmien-Schlichting waves and then its nonlinear deformation and disintegration. This process results in localized ejections of the near-wall fluid (bursts) and leads to the formation of a characteristic arrow shape of a turbulent spot observed in experiments.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Emmons, H. W.: The laminar-turbulent transition in a boundary layer — Part I, J. Aero. Sci. 18 (1951) 490–498.

    MATH  MathSciNet  Google Scholar 

  2. Schubauer,G.B. and Klebanoff, P.S.: Contributions on the mechanics of boundary layer transition, NACA Rep. no. 1289 (1956).

    Google Scholar 

  3. Elder, J. W.: An experimental investigation of turbulent spots and breakdown to turbulence, J. Fluid Mech. 9 (1960) 235–246.

    Article  MATH  Google Scholar 

  4. Perry, A. E., Lim, T. T. and Teh, E. W.: A visual study of turbulent spots, J. Fluid Mech. 104 (1981) 387–405.

    Article  Google Scholar 

  5. Gad-el-Hak, M., Blackwelder, R. F. and Riley. J. J.: On the growth of turbulent regions in laminar boundary layers, J. Fluid Mech. 110 (1981) 73–95.

    Article  Google Scholar 

  6. Glezer, A., Katz, Y. and Wygnanski, I.: On the breakdown of the wave packet trailing a turbulent spot in a laminar boundary layer, J. Fluid Mech. 198 (1989) 1–26.

    Article  Google Scholar 

  7. Stewartson, K.: Multistructured boundary layers on flat plates and related bodies, Advances in Appl. Mech. 14 (1974) 145–239.

    Article  Google Scholar 

  8. Ryzhov, O. S. and Terent’ ev, E. D.: On the nonstationary boundary layer with self-induced pressure (in Russian), Prikl. matem. i mekh. 41 (1977) 1007–1023.

    MathSciNet  Google Scholar 

  9. Stone, H. L.: Iterative solution of implicit approximations of multidimensional partial equations, SIAM J. Numer. Analys. 5 (1968) 530–558.

    Article  MATH  Google Scholar 

  10. Kazakov, V. A.: Strongly implicit alternate-triangular procedure for the solution to the problems of asymptotic theory of boundary layer (in Russian), Zh. vychisl. matem. i matem. fiz. 25 (1985) 1382–1390.

    Google Scholar 

  11. Kazakov, V. A.: On spreading disturbances and generation of vortices in a laminar boundary layer (in Russian), 6th All-Union Congress on Theor. and Appl. Mech. Tashkent (1986) 320.

    Google Scholar 

  12. Kazakov, V. A.: Numerical investigation of the formation of waves and generation of vortices in a laminar boundary layer, Russian J. Comput. Mech. 2 (1994) (in press).

    Google Scholar 

  13. Gaster, M. and Grant, I.: An experimental investigation of the formation and development of a wave packet in a laminar boundary layer, Proc. Roy. Soc. A347 (1975) 253–269.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kazakov, V.A. (1995). Analysis of the Formation of a Turbulent Spot in a Laminar Boundary Layer. In: Kobayashi, R. (eds) Laminar-Turbulent Transition. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79765-1_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-79765-1_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79767-5

  • Online ISBN: 978-3-642-79765-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics