A DISCUSSION OF APPROXIMATE THEORIES FOR INVISCID HYPERSONIC FLOW ON CONCAVE SURFACES,

Abstract

The work exaines the applicability of the well known approximate inviscid theories for estimating surface pressure on sharp leading edged bodies in hypersonic flow to concave surfaces, for the particular case when there is only a single shock wave attached to the leading edge. It is shown that the various methods give widely differing estimates. Some exact limiting self-silimar solutions are used to show that the waves reflected off entropy lines and the shock are very important. The thin shock layer theory, for which the Newtonian plus centrifugal theory is the first approximation, is shown to give a fairly good estimate of the centrifugal pressure rise across the layer. A combined tangent wedge plus centrifugal rule is proposed to overcome the major objection to the thin shock layer theory, which is seriously inaccurate near the leading edge because of the failure of the strong shock approximation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0708823

Entities

People

  • P. A. Sullivan

Organizations

  • University of Toronto

Tags

DTIC Thesaurus Topics

  • Flow
  • Hypersonic Flow
  • Leading Edges
  • Shock
  • Shock Waves
  • Waves

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flow