Skip to main content
SpringerLink
Log in

The Dynamics of Coherent Structures in a Flat-Plate Boundary Layer

  • Conference paper
Book cover Advances in Turbulence IV

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 18))

Abstract

From the data of a direct numerical simulation the three-dimensional coherent structures of an incompressible, spatially evolving flat-plate boundary layer have been calculated using the POD method. By Gaierkin projection of the Navier-Stokes equations onto the corresponding system of eigenfunctions then a low-dimensional model of the flow in the form of a system of ODE’s has been derived. In a region of the boundary layer just beyond the spike stages of transition this system displays deterministic chaos that has been quantified by determining its Lyapunov exponents.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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. Kachanov, Y. S.; Kozlov, V. V., Levchenko, V. Y; Ramazanov, M. P. (1985) On Nature of K-Breakdown of a Laminar Boundary-Layer. New Experimental Data. In Laminar-Turbulent Transition (ed. V. V. Kozlov), pp. 61–73. Springer, New York.

    Chapter  Google Scholar 

  2. Kloker, M. (1992) Numerische Untersuchungen zurn laminar-turbulenten Strömungsumschlag in einer stark verzögerten Grenzschicht. Dissertation, University of Stuttgart.

    Google Scholar 

  3. Lorenz, E. N. (1963) Deterministic Nonperiodic Flow. J. Atmos. Sci. 20. pp. 130–141.

    Article  Google Scholar 

  4. Lumley, J. L. (1970) Stochastic Tools in Turbulence. Academic Press, New York.

    MATH  Google Scholar 

  5. Rempfer, D. (1991) Kohärente Strukturen und Chaos beim laminar-turbulenten Strömungsumschlag. Dissertation, University of Stuttgart.

    Google Scholar 

  6. Rist, U. (1990) Numerische Untersuchung der räumlichen, dreidimensionalen Strömungsent-wicklung beim Grenzschichtumschlag. Dissertation, University of Stuttgart.

    Google Scholar 

  7. Rist, U.; Kloker, M.; Fasel, H. (1992) Numerical Simulation of Transition in a Flat-Plate Boundary Layer. (submitted to J. Fluid Mech.)

    Google Scholar 

  8. Sirovich, L. (1987) Turbulence and the Dynamics of Coherent Structures. Quart. Appl. Math. 45, pp. 561–590.

    MathSciNet  MATH  Google Scholar 

  9. Wolf, A.; Swift, J. B., Swinney, H. L.; Vastano, J. A. (1985) Determining Lyapunov Exponents from a Time Series. Physica D 16, pp. 285–317.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Aerodynamik und Gasdynamik, University of Stuttgart, Stuttgart, Germany

    D. Rempfer

  2. Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, Arizona, USA

    H. Fasel

Authors
  1. D. Rempfer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Fasel
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Laboratory for Aero- and Hydromechanics, Technical University of Delft, The Netherlands

    F. T. M. Nieuwstadt

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Rempfer, D., Fasel, H. (1993). The Dynamics of Coherent Structures in a Flat-Plate Boundary Layer. In: Nieuwstadt, F.T.M. (eds) Advances in Turbulence IV. Fluid Mechanics and its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1689-3_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1689-3_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4739-5

  • Online ISBN: 978-94-011-1689-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation