A model for subharmonic resonance within wavepackets in unstable boundary layers

Alexander Duncan Davidson Craik

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

In recent experiments on the growth of localized disturbances in a Blasius boundary layer, Medeiros & Gaster (1999a,b) observed that the development of nonlinear effects depends markedly on the initial phase of their imposed disturbance. Here, a simple explanation of this phenomenon is proposed. Because the disturbance is localized in space and time, it has a spread of wavenumbers and frequencies: among these are components which can initiate a Fair of resonant subharmonic waves with well-determined phase, which are then amplified by the familiar three-wave resonance mechanism. The amplitude attained after some time is strongly phase-dependent, consistent with the experimental observations.

Original languageEnglish
Pages (from-to)409-418
Number of pages10
JournalJournal of Fluid Mechanics
Volume432
Publication statusPublished - 10 Apr 2001

Keywords

  • NONLINEAR EVOLUTION
  • TRANSITION

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