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Applied Mathematics and Mechanics

, Volume 16, Issue 4, pp 383–389 | Cite as

Secondary instability of large scale structure in free turbulent shear layer

  • Zhao Geng-fu
Article

Abstract

The secondary instability theory is used to study the behavior of spatially growing disturbance in free turbulem shear layer. The numerical results indicate that secondary instability of subharmonic mode shows a strong choice of spanwise wavenumber and the maximum growth rate occurs in two dimensional case. In contrast to that secondary instabilities of the fundamental mode occur in a wide scope of spanwise wavenumber. We have found so called translative instability at β=0 and bifurcation phenomenon for an amplitude of the KH wave larger than 0.06.

Key words

secondary instability large scale structure bifurcation 

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References

  1. [1]
    Hall, M. R., R. W., Miksad and E. G. Powers, Subharmonic growth by parametric resonance,J. Fluid Mech.,236, (1992), 385–413.CrossRefGoogle Scholar
  2. [2]
    Wang, D. Y. and G. F. Zhao, On secondary instability with respect to three dimensional subharmonic disturbances in boundary layer.Acta Mechanica Sinica,8, 3 (1992), 231–236.MATHMathSciNetGoogle Scholar
  3. [3]
    Pierrehumbert, R. T. and S. E. Windnall, The two and three dimensional instabilities of a spatially periodic shear layer,J. Fluid Mech. 114 (1982), 59–88.MATHCrossRefGoogle Scholar
  4. [4]
    Metcalfe, R. W., S. A. Orszag, M. E. Brachet, S. Menon and J. J. Riley, Secondary instability of a temporally growing mixing layer.J. Fluid Mech.,184 (1987), 207–243.MATHCrossRefGoogle Scholar
  5. [5]
    Bernal, L. P. and A. J. Roshko, Streamwise vortex structure in plane mixing layers.J. Fluid Mech.,170 (1986), 499–525.CrossRefGoogle Scholar
  6. [6]
    Huang, L. S. and C. M. Ho, Small-scale transition in a plane mixing layer.J. Fluid Mech.,210 (1990), 475–500.CrossRefGoogle Scholar

Copyright information

© Shanghai University of Technology (SUT) 1995

Authors and Affiliations

  • Zhao Geng-fu
    • 1
  1. 1.Tianjin UniversityTianjinP.R. China

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