Acta Mechanica Sinica

, Volume 8, Issue 3, pp 231–236 | Cite as

On secondary instability with respect to three dimensional subharmonic disturbances in boundary layer

  • Wang Dongyao
  • Zhao Gengfu


The general equations of secondary instability with respect to three-dimensional subharmonic disturbances are derived and applied to Blasius boundary layer in the present paper. The theoretical results of evolution and spatial distribution of subharmonic disturbances are compared with experimental data. The results show the important role of the process of route to transition in low-disturbance environments, and indicate that spatial mode is more rational than temporal mode.

Key Words

secondary instability spatial mode temporal mode subharmonic disturbance 


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  1. 1.
    Herbert Th. Subharmonic three dimensional disturbances in unstable shear flows. AIAA No. 83-1759, 1983Google Scholar
  2. 2.
    Herbert Th. Analysis of the subharmonic route to transition in boundary layers. AIAA No. 84-0009, 1984Google Scholar
  3. 3.
    Zhao G F, Zhou H. Weakly nonlinear theory versus theory of secondary instability for plane Poiseuille flow. Appl Math Mech, 1988, 9: 571–576Google Scholar
  4. 4.
    Klebanoff P S, Tidstrom K D, Sargent L M. The three dimensional nature of boundary layer instability. J Fluid Mech, 1962, 12: 1–34MATHCrossRefGoogle Scholar
  5. 5.
    Kachanov Yu S, Levchenko V Ya. The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer. J Fluid Mech, 1984, 138: 209–247CrossRefGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1992

Authors and Affiliations

  • Wang Dongyao
    • 1
  • Zhao Gengfu
    • 1
  1. 1.Tianjin UniversityTianjinChina

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