Threshold Conditions for Breakdown of Laminar Boundary Layers

  • Thorwald Herbert
  • Jeffrey D. Crouch
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


A perturbation method based on a simultaneous expansion for primary and secondary modes of instability is used to study the flow field in the later stages of transition. Results of the analysis are in good agreement with experimental data for amplitudes in excess of 5% that cause immediate breakdown. Threshold conditions for sustained growth of subharmonic modes past branch II are calculated. These conditions are presented both in terms of branch II amplitudes and initial amplitudes.


Threshold Condition Sustained Growth Initial Amplitude Secondary Instability Amplitude Curve 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Thorwald Herbert
    • 1
  • Jeffrey D. Crouch
    • 2
  1. 1.Department of Mechanical Engineering Department of Aeronautical and Astronautical EngineeringThe Ohio State UniversityColumbusUSA
  2. 2.Laboratory for Computational Physics and Fluid DynamicsNaval Research Laboratory, Code 4420USA

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