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Numerical Investigation of Wake Instabilities

  • Marek Morzyński
  • Frank Thiele
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

The application of non-parallel flow stability analysis to the wake problem is shown. Stream function, curvilinear FDM formulation and solution of the eigenvalue problem is described in details. The results consist of critical values, determined for the circular cylinder flow and the attempt to analyze the wake instability mechanism.

Keywords

Reynolds Number Circular Cylinder Critical Reynolds Number Steady Solution Wake Region 
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]
    Kleiser, L.; Numerical simulations of transition in wall-bounded shear flows. Annu. Rev. Fluid Mech., 23, (1991), 495–537.ADSCrossRefGoogle Scholar
  2. [2]
    Koch, W.; Local instability characteristics and frequency determination of self excited wake flows. J. of Sound and Vibration 99, (1985), 53–83.ADSCrossRefGoogle Scholar
  3. [3]
    Huerre, P.; Monkevitz, P.A.; Local and global Instabilities in spatially developing flows. Annu. Rev. Fluid Mech., 22, (1990), 473–537.ADSCrossRefGoogle Scholar
  4. [4]
    Morzynski, M.; Thiele, F.; Global non-parallel stability analysis of wake and boundary layer flows. Z. angew. Math. Mech., 72, (1992), 5, T403 - T407.Google Scholar
  5. [5]
    Jackson, C.P.; A Finite-Element study of the onset of vortex shedding in flow past variously shaped bodies. J. Fluid Mech. 182, (1987), 23–45.ADSCrossRefMATHGoogle Scholar
  6. [6]
    Zebib, A.; Stability of viscous flow past a circular cylinder. J. of Eng. Math., 21, (1987), 155–165.CrossRefGoogle Scholar
  7. [7]
    Kim, I.; Pearlstein, A.J.; Stability of the flow past a sphere. J. Fluid Mech. 211, (1990), 73–93.ADSCrossRefMATHGoogle Scholar
  8. [8]
    Morzynski, M.; Thiele, F.; Numerical stability analysis of a flow about a cylinder. Z. angew. Math. Mech., 71, (1991), 5, T424 - T428.Google Scholar
  9. [9]
    Noack, B.R.; Eckelmann H.; On chaos in wakes. Physica D, 56 (1992), 151–164.MathSciNetADSCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Marek Morzyński
    • 1
  • Frank Thiele
    • 2
  1. 1.Hermann Föttinger–InstitutTechnische UniversitätBerlinGermany
  2. 2.Abteilung TurbulenzforschungDLRBerlinGermany

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