Secondary Stability Analysis of Nonlinear Crossflow Vortices

  • Torsten Wintergerste
  • Leonhard Kleiser
Conference paper
Part of the IUTAM Symposia book series (IUTAM)

Abstract

Our work is concerned with the late stages of transition to turbulence in a three-dimensional (3D) boundary layer initiated by crossflow instability. Previously, we investigated the transition process in the 3D boundary layer on a swept flat plate by Direct Numerical Simulation (DNS) using the temporal model. In the present work, we investigate the secondary stability of the quasi-saturated state obtained from the DNS data at several stages before the onset of breakdown, employing a linear stability analysis. Our stability results show typical characteristics of the experimentally observed high-frequency instability. The instability frequencies and the structure of the eigenfunctions are in good agreement with experimental data.

Keywords

Vortex crossBow 

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References

  1. 1.
    Fischer, T. M., Hein, S., Dallmann, U. (1993) A theoretical approach for describing secondary instability features in three-dimensional boundary-layer flows. AIAA-Paper 93–0080.Google Scholar
  2. 2.
    Högberg, M., Henningson, D. (1998) Secondary instability of crossflow vortices in Falkner-Skan-Cooke boundary layers. J. Fluid Mech., vol. 368, pp. 339–357.MathSciNetADSMATHCrossRefGoogle Scholar
  3. 3.
    Kohama, Y., Saric, W. S., Hoos, J. A. (1991) A high-frequency secondary instability of crossflow vortices that leads to transition. In: Proc. Boundary-Layer Transition and Control Conference, Cambridge, UK.Google Scholar
  4. 4.
    Kohama, Y., Onodera, T., Egami, Y. (1996) Design and control of crossflow instability field. In: Nonlinear Instability and Transition in Three-Dimensional Boundary Layers, eds. P. W. Duck and P. Hall, Kluwer Academic, pp. 147–156.Google Scholar
  5. 5.
    Lerche, T. (1997) Experimentelle Untersuchung nichtlinearer Strukturbildung im Transitionsprozess einer instabilen dreidimensionalen Grenzschicht. Doctoral Dissertation, University of Hannover, Germany. Published as Fortschritt-Berichte VDI-Reihe 7, Nr. 310, VDI-Verlag.Google Scholar
  6. 6.
    Wintergerste, T., Kleiser, L. (1997) Breakdown of a crossflow vortex in a three-dimensional boundary layer. In: Direct and Large Eddy Simulation II, eds. J.-P. Chollet et al., Kluwer Academic Publishers, pp. 179–190.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Torsten Wintergerste
    • 1
  • Leonhard Kleiser
    • 1
  1. 1.Institute of Fluid DynamicsETH ZürichZürichSwitzerland

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