An Attempt to Construct an Analytical Model of the Start of Compressible Transition.

Abstract

The results of the first step in an attempt to develop a model of compressible transition are reported. The basis of the method goes back to the equations used by Reynolds many years ago to study incompressible viscous instabilities and turbulence. In the work reported here, a simplified linearized version of a set of equations which has been proposed to study complete transitions and turbulent boundary layers in compressible flow are solved by machine computation in order to evaluate the general character of compressible instability that is given by the model. These results are discussed in the light of results obtained from classical stability calculations. Finally, by coupling the instability calculation to the mean flow equation through the Reynolds stress term, the general character of the run-out of instability (as defined by the simplified equations) to the start of transition is investigated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0719759

Entities

People

  • Coleman Dup. Donaldson
  • John E. Yates
  • Roger D. Sullivan

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Compressible Flow
  • Computations
  • Couplings
  • Equations
  • Flow
  • Fluid Mechanics
  • Instability
  • Layers
  • Personality
  • Stresses
  • Transitions
  • Turbulence
  • Turbulent Boundary Layer

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)