Effect of Streamwise Vortices on Tollmien-Schlichting Waves,

Abstract

The method of multiple scales is used to determine a first-order uniform expansion for the effect of counter-rotating steady streamwise vortices in growing boundary layers on Tollmien-Schlichting waves. The results show that such vortices have a strong tendency to amplify three-dimensional Tollmien-Schlichting waves having a spanwise wavelength that is twice the wavelength of the vortices. An analytical expression is derived for the growth rates of these waves. These growth rates increase linearly with increasing amplitudes of the vortices. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA081254

Entities

People

  • Ali Hasan Nayfeh

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Flow
  • Flow Fields
  • Fluid Dynamics
  • Instability
  • Mechanics
  • Periodic Variations
  • Pressure Gradients
  • Three Dimensional
  • Two Dimensional
  • Virginia

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.