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Non-unique Self-similar Turbulent Boundary Layers in the Limit of Large Reynolds Number

  • B Scheichl
  • A Kluwick
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 101)

Abstract

A rigorous asymptotic analysis concerning the phenomenon of non-uniqueness of quasi-equilibrium turbulent boundary layers in the large Reynolds number limit has recently been carried out in [2]. The approach contains the classical asymptotic theory of wall-bounded turbulent shear flows, cf. [3], as a limiting case. Compared to the latter, the novel theory allows for a moderately large but still asymptotically small velocity defect with respect to the external inviscid flow. Therefore, it applies to attached flow only which, however, exhibits some properties known from separating turbulent boundary layers. Here a first comparison of the theoretical results with numerical and experimental data is presented. As a special aspect, the impact of the equilibrium conditions on the associated external potential flow field is elucidated.

Keywords

Turbulent Boundary Layer Large Reynolds Number Velocity Defect Boundary Layer Edge Incipient Separation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Clauser FH (1954) J Aeronaut Sci 21:91–108Google Scholar
  2. 2.
    Scheichl B, Kluwick A (2004) J Fluid Mech, submittedGoogle Scholar
  3. 3.
    Schlichting H, Gersten K (2000) Boundary-layer theory. Springer, BerlinGoogle Scholar
  4. 4.
    Simpson RL, Chew Y-T, Shivaprasad BG (1981) J Fluid Mech 113:23–51Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • B Scheichl
    • 1
  • A Kluwick
    • 1
  1. 1.Institute of Fluid Mechanics and Heat TransferVienna University of TechnologyViennaAustria

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