Accession Number : AD0715263

Title :   Vortical Shock Layer Stagnation-Point Flow.

Descriptive Note : Technical rept. Oct 69-Jan 70,

Corporate Author : AEROSPACE CORP SAN BERNARDINO CALIF SAN BERNARDINO OPERATIONS

Personal Author(s) : Swigart,Rudolph J.

Report Date : 30 NOV 1970

Pagination or Media Count : 35

Abstract : Two solutions to the problem of the nature of the inviscid rotational flow in the neighborhood of a general three-dimensional stagnation point have appeared in the literature, one by Hayes in 1964 and the other by Waldman in 1965. Hayes predicts a stagnation streamline coming in tangent to the body in general, with the lateral vorticity becoming infinite at the wall, whereas Waldman's solution results in a stagnation streamline that is normal to the body with the vorticity identically zero. The question of which solution, if either, is correct in the context of a vortical shock-layer flow containing a plane of symmetry is investigated by formulating the problem in terms of a pair of stream functions and delineating the conditions for recovery of each of the above-mentioned solutions. Based on previous work on the three-dimensional hypersonic blunt-body problem, it is shown that Waldman's solutions cannot apply in the context of a vortical shock-layer flow. Hayes' solution is shown to be compatible with the shock-wave boundary conditions, and certain constants in his solution are identified with shock-wave and stagnation-point parameters. Hayes' solution, then, is the correct one. However, the shape of the stagnation streamline depends on certain undetermined constants in Hayes' solution, being tangent to the body if these constants are finite, and normal to the body if the constants are zero. Whereas the numerical results and experimental results of Xerikos and Anderson indicate the constants to be zero, the experimental results of Zubkov and Glagolev indicate them to be finite. (Author)

Descriptors :   (*VORTICES, *STAGNATION POINT), SHOCK WAVES, THREE DIMENSIONAL FLOW, EQUATIONS OF MOTION

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE