A Numerical Study of Nonlinear Effects on Boundary-Layer Stability.

Abstract

A spectral scheme is used to solve for the unsteady, two-dimensional flow over a flat plate in the Reynolds number range of transition. Solutions to the full Navier-Stokes equations agree with solutions to the parabolized vorticity equations for the problems considered. The propagation of large amplitude (nonlinear) Tollmien-Schlichting waves in a boundary layer is studied; in some cases, these large amplitude waves are more unstable than linear waves. Analysis of the solutions shows that the relative phase of the first and second harmonics is related to the nonlinear stability of the waves. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1977
Accession Number
ADA041088

Entities

People

  • John W. Murdock

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Counter IED
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Boundary Layer Control
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Difference Equations
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Navier Stokes Equations
  • Numerical Analysis
  • Poisson Equation
  • Reynolds Number
  • Turbulent Flow
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Control Systems Engineering.
  • Fluid Mechanics and Fluid Dynamics.