SECONDARY INSTABILITY OF THE BOUNDARY LAYER,

Abstract

The article starts with a statement of the general problem of hydrodynamic instability. The transition from laminar to turbulent flow may be considered from the viewpoint of the development of infinitely small perturbations distributed over the whole field of flow. It was demonstrated and experimentally verified that the boundary layer is unstable with respect to Tomlin-Schlichting perturbations, which are waves propagating downstream along the flow. In the case of neutral perturbations, the amplitude of the carrier wave remains constant. Theory gives a value of approximately 420 for the critical Reynolds number. The article proceeds to set up a system of differential equations describing the problem of the instability of the boundary layer. The solution is carried out by the method of Kantorovich, which involves the reduction of the system of equations in partial derivatives to a system of ordinary differential equations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 10, 1968
Accession Number
AD0683085

Entities

People

  • L. M. Maseev

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Carrier Waves
  • Differential Equations
  • Equations
  • Flow
  • Instability
  • Layers
  • Perturbations
  • Reynolds Number
  • Turbulent Flow

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Fluid Dynamics.