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Subharmonic Resonance in a Shear Layer

  • H. S. Husain
  • F. Hussain
Conference paper

Abstract

The initiation, growth, interaction, breakdown and regeneration of coherent structures in turbulent shear flows are the manifestations of a hierarchy of flow instability mechanisms. After the initial roll up of the shed vortex sheet into discrete vortices, the most common interaction that a shear layer undergoes is pairing of two neighboring vortices. The pairing process, i.e. the growth of the subharmonic, is a consequence of what has come to be known as subharmonic resonance -- the nonlinear interaction between a wave of frequency f and a subharmonic wave of frequency f/2, producing an f/2 component which is capable of reinforcing the subharmonic. Such reinforcement depends on excitation parameters such as the phase between the fundamental and the subharmonic, and the critical fundamental amplitude[1, 2].

Keywords

Shear Layer Flow Visualization Strouhal Number Exit Plane Subharmonic Resonance 
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]
    Kelly, R. E. 1967 J. Fluid Mech. 27, 657.CrossRefMATHADSGoogle Scholar
  2. [2]
    Monkewitz, P. A. 1988 J. Fluid Mech. 188, 223CrossRefMATHADSGoogle Scholar
  3. [3]
    Laufer, J. 1974 Omaggio Carto Ferrari,p.451.Google Scholar
  4. [4]
    Husain, H.S. & Hussain, A.K.M.F. Bull. Am. Phys. Soc. 31, 1696.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • H. S. Husain
    • 1
  • F. Hussain
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of HoustonHoustonUSA

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