Accession Number:

AD0761632

Title:

Inviscid Small Disturbance Theory for Nonuniform Transonic Flows,

Descriptive Note:

Corporate Author:

VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG COLL OF ENGINEERING

Personal Author(s):

Report Date:

1973-05-01

Pagination or Media Count:

41.0

Abstract:

The classical inviscid theory of irrotational small three dimensional perturbations in uniform transonic flows is extended to include arbitrarily-nonuniform non-adiabatic two dimensional or axisymmetric basic flows. It is shown that these nonuniformities introduce significant disturbance field vorticity, thereby invalidating the introduction of a potential function. A generalized form of the usual nonlinear transonic velocity perturbation equation and a set of disturbance vorticity relations are derived which clearly indicate the nonuniform flow effects also developed are equations governing the pressure and total enthalpy disturbances. Extensions of the usual transonic similitude laws involving several new nonuniform flow parameters are formulated for disturbance fields caused either by inner boundary surface deflections or by an outer disturbance such as an impinging shock wave. Finally, possible numerical and analytical methods of solution of the generalized transonic equations are discussed. Modified author abstract

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE