AN INVESTIGATION OF THE FLOW DUE TO SHOCK IMPINGEMENT ON A CONSTRICTION
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1961
- Accession Number
- AD0270610
Entities
People
- W.b. Jr. Brower
Organizations
- Rensselaer Polytechnic Institute