Accession Number : AD0708823

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

Corporate Author : TORONTO UNIV (ONTARIO) INST FOR AEROSPACE STUDIES

Personal Author(s) : Sullivan,P. A.

Report Date : JUN 1970

Pagination or Media Count : 57

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)

Descriptors :   (*HYPERSONIC FLOW, NUMERICAL ANALYSIS), APPROXIMATION(MATHEMATICS), SLENDER BODIES, SHOCK WAVES, LEADING EDGES, PRESSURE, CANADA

Subject Categories : Aerodynamics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE