A Non-Asymptotic Analysis of the Lighthill-Stewartson Triple Deck Model of Supersonic Boundary Layer Interaction with Separation,

Abstract

This investigation presents an approximate nonasymptotic theory for self-sustaining supersonic laminar boundary layer interaction which is based on the three-layer conceptual model first introduced by Lighthill (1953) to explain the upstream propagation of disturbances in linear shock wave boundary layer interactions where separation does not occur and recently extended by Stewartson and Williams (1969) (1973) for non-linear interactions using an asymptotic analysis valid for infinite Reynolds number. The practical shortcoming of the asymptotic analysis is that at the largest Reynolds number for which the boundary layer could be expected to remain laminar the viscous sublayer whose thickness is of 0(Reynolds number to the minus 1/8 times the boundary layer thickness) is of comparable thickness to the inviscid interaction layer and thus not a thin sublayer as required for the validity of an asymptotic theory.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA004653

Entities

People

  • King Mon Tu
  • Sheldon Weinbaum

Organizations

  • City College of New York

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Fluid Mechanics
  • Laminar Boundary Layer
  • Layers
  • Reynolds Number
  • Shock
  • Shock Waves
  • Thickness
  • Waves

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.
  • Theoretical Analysis.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers