Accession Number : AD0270610

Title :   AN INVESTIGATION OF THE FLOW DUE TO SHOCK IMPINGEMENT ON A CONSTRICTION

Corporate Author : RENSSELAER POLYTECHNIC INST TROY N Y

Personal Author(s) : BROWER,W.B. JR.

Report Date : AUG 1961

Pagination or Media Count : 1

Abstract : Equations for the asymptotic flow due to passage of a shock through a constriction are presented. The region of ambiguity which involved 3 possible solutions with either a reflected shock, a standing shock, or no shock, is reviewed. A wave diagram is constructed to show that the solution involving no reflection is unstable under a small but finite disturbance. Kantrowitz's perturbation equations for non-steady, one-dimensional flow through a particular, non-uniform, nozzle are used to investigate the problem of shock formation due to expansion-disturbances. Two problems are considered: the first is a complete treatment of shock formation in a de Laval nozzle; the second is the case of shock formation in a decelerating supersonic flow. Results of the second case are then used to formulate a criterion for the stability of the solution for flow through a constriction without a reflected shock, under action of a small disturbance. (Author)

Descriptors :   *SHOCK WAVES, AERODYNAMIC CHARACTERISTICS, CONTRACTION, GAS FLOW, HYPERSONIC CHARACTERISTICS, HYPERSONIC FLOW, MATHEMATICAL ANALYSIS, MATHEMATICAL PREDICTION, PERTURBATION THEORY, SUPERSONIC FLOW, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE