ON THE COMPRESSIBLE RAYLEIGH PROBLEM.

Abstract

The compressible Rayleigh problem with constant wall temperature is examined for a span of time for which the flow's behavior is closely analogous to the two-dimensional weak interaction flow past a sharp-edged flat plate. The interaction parameter chi is developed and is shown to dictate the level of the receding shock strength. Asymptotic treatment of the flow field is made for small values of chi employing the Navier-Stokes equations. Zeroth and first order solutions in chi to the flow are developed in the viscous layer region and in a second, outer region consisting of the shock wave and shock layer. Burger's equation is used to obtain the solution for this latter region. Freedom to match specific initial conditions in the outer flow is retained. A complete description of the flow field through first order in chi is then available. Analytic solutions for surface quantities are found and shown to be independent of the initial conditions in the outer flow. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0651860

Entities

People

  • Richard W. Garvine

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Equations
  • Flow
  • Flow Fields
  • Mathematics
  • Navier Stokes Equations
  • Shock
  • Shock Waves
  • Two Dimensional
  • Waves

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.