Accession Number : AD0712702

Title :   THE STABILITY OF SMOOTH TWO-DIMENSIONAL TRANSONIC FLOWS.

Descriptive Note : Final rept.,

Corporate Author : NEW YORK UNIV BRONX DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s) : Isom,Morris P. ; Wu,Kwang Shu

Report Date : JUN 1970

Pagination or Media Count : 29

Abstract : The stability of smooth (shock-free) two-dimensional transonic flows to acoustic disturbances is discussed. The problem is considered in the context of transonic flow over airfoil sections, with weak waves moving upstream into the region of embedded supersonic flow. In particular, Spee's work on stability criteria for such flows is reviewed, and the problem is reformulated within the framework of geometrical acoustics. It is shown that the assumptions appropriate for a linearized theory appear to fail when acoustic waves become tangent to characteristics of the undisturbed flow field. The assumptions of linear theory are implicit in Spee's work. The results presented here indicate that stability theory must be based on a more careful and detailed analysis of wave propagation through the supersonic region. (Author)

Descriptors :   (*TRANSONIC FLOW, STABILITY), (*ACOUSTICS, TRANSONIC FLOW), TWO DIMENSIONAL FLOW, AIRFOILS, SUPERSONIC FLOW, PROPAGATION, MATHEMATICAL ANALYSIS

Subject Categories : Aerodynamics
      Acoustics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE