Nonlinear Interaction of Waves in Boundary-Layer Flows,

Abstract

First-order nonlinear interactions of Tollmien-Schlichting waves of different frequencies and initial amplitudes in boundary-layer flows are analyzed by using the method of multiple scales. For the case of two waves, a strong nonlinear interaction exists if one of the frequencies is twice the other frequency. Numerical results for flow past a flat plate show that this interaction mechanism is strongly destabilizing even in regions where either the fundamental or its harmonic is damped in the absence of the interaction.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1979
Accession Number
ADA066600

Entities

People

  • Ali N. Bozatli
  • Ali. H. Nayfeh

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Difference Frequency
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Frequency
  • Instability
  • Layers
  • Parametric Instability
  • Reynolds Number
  • Turbulent Flow
  • Turbulent Mixing
  • Two Dimensional
  • Virginia
  • Wave Packets

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Plasma Physics / Magnetohydrodynamics