A Nonlinear Stability Theory for Plane Boundary-Layer Flows

Abstract

A nonlinear stability theory for two-dimensional disturbances in plane boundary layers has been developed. The mathematical formulation and a discussion of the numerical method and results are presented. The basic assumptions made in the formulation are: the amplitude of disturbances is small, the rate of change of the undisturbed boundary layer with streamwise distance is small, and the rate of amplification of disturbances is small. The computation was checked against published results for plane Poiseuille flow and the Orr-Sommerfeld solutions for Blasius flow and a numerical solution of Navier-Stokes flow along a flat plate. The present theory agrees well with published results for these flow fields. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1980
Accession Number
ADA094078

Entities

People

  • A. K. Liu
  • Suphi Ozgur
  • Tony Chan
  • Toshi Kubota

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Boundary Value Problems
  • Computational Science
  • Computer Programming
  • Differential Equations
  • Flow
  • Flow Fields
  • Jet Propulsion
  • Layers
  • Military Research
  • Navier Stokes Equations
  • Partial Differential Equations
  • Physics Laboratories
  • Poiseuille Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

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