Subharmonic Resonance in a Shear Layer

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


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].


Vortex Attenuation Vorticity Kelly 


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  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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