Accession Number : AD0286395

Title :   PROPAGATION OF CURVED SHOCKS IN PSEUDO-STATIONARY THREE-DIMENSIONAL GAS FLOWS

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : KANWAL,RAM P.

Report Date : 05 JUL 1957

Pagination or Media Count : 1

Abstract : In a previous paper, the curved shocks in 3dimensional steady gas flows were discussed. Formulas were derived which make possible the determination of the derivatives of velocity, density, pressure and entropy behind the shock surface when the flow in front is known. Furthermore the explicit determination of the vorticity components behind the shock was made, which led to the formulation of a general theorem regarding the characterization of surfaces behind which the flow will remain irrotational. It was found that a plane, a right circular cone, a m in the case of unsteady flows. In the case of plane unsteady flows Taub has olved the corresponding problem by introducing a dimensional argument which indicates that, when viscosity and heat conductivity are neglected, there is no intrinsic length in the problem and the problem may be stated in terms of the independent variables alone. (Author)

Descriptors :   *AERODYNAMIC CHARACTERISTICS, *CONICAL BODIES, *CYLINDRICAL BODIES, *DIFFERENTIAL EQUATIONS, *GAS FLOW, *OPERATORS (MATHEMATICS), *SHOCK WAVES, DENSITY, ENTROPY, GEOMETRY, MATRICES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, SURFACES, VECTOR ANALYSIS, VELOCITY, VORTICES

Distribution Statement : APPROVED FOR PUBLIC RELEASE