Accession Number : ADP005039

Title :   Unsteady Three-Dimensional Flow Theory Via Material Functions,

Corporate Author : WATERLOO UNIV (ONTARIO)

Personal Author(s) : Hui,W. H. ; Roessel,H. J. van

Report Date : NOV 1985

Pagination or Media Count : 3

Abstract : A new Lagrangian formulation for unsteady three dimensional supersonic inviscid flow over rigid bodies is developed. The continuity equation is eliminated by the use of material functions, a generalization of the stream functions for steady flow. This is followed by a transformation to new independent variables, three of which are these material functions. The fourth variable is a Lagrangian time distinct from the Eulerian time. The simultaneous use of both Lagrangian and Eulerian time allows the problem of flow with shock wave to be reduced to a fixed boundary one. In the Newtonian limit it is found possible to obtain analytic solutions for various body shapes.

Descriptors :   *SUPERSONIC FLOW, *UNSTEADY FLOW, AIRCRAFT, INVISCID FLOW, THEORY, THREE DIMENSIONAL FLOW, RIGIDITY, GEOMETRIC FORMS, LAGRANGIAN FUNCTIONS, CANADA

Distribution Statement : APPROVED FOR PUBLIC RELEASE