Aspects of Shock Wave-Induced Vortex Breakdown

Iraj M. Kalkhoran

Department of Mechanical, Aerospace and Manufacturing Engineering
Polytechnic University
Brooklyn, New York, 11201, USA

Abstract-
Supersonic vortex breakdown, when sufficiently strong streamwise vortices encounter otherwise planar, normal and oblique shock fronts as well as solid surfaces placed in their passages, will be discussed. The dramatic destruction of a streamwise vortex during supersonic vortical interactions reveals a vortex breakdown similar in many ways to the well-documented incompressible vortex bursting. The main features of supersonic vortex breakdown include formation of a spherically blunt-nosed conical shock, and a vortex core, which upon crossing the apex of the conical shock expands into a subsonic turbulent conical region. A notable characteristic of the supersonic vortex breakdown is the formation of an entropy-shear layer separating an inner subsonic zone containing the burst structure from the surrounding supersonic flow. Numerical, experimental, and analytical studies of shock wave/vortex interactions are discussed and results from wind tunnel studies involving head-on collision of supersonic vortices with solid surfaces are presented.

The head-on interaction of a supersonic streamwise vortex with a circular cylinder reveals a vortex breakdown similar in many ways to that of incompressible vortex breakdown. . In the present study, vortex breakdown is brought about when moderate and strong streamwise vortices encounter the bow shock in front of a circular cylinder at Mach 2.49. The main features of the vortex/cylinder interaction are the formation of a blunt-nosed conical shock with apex far upstream of the undisturbed shock stand-off distance, and a vortex core which responds to passage through the apex of the conical shock by expanding into a turbulent conical flow structure. The geometry of the expanding vortex core as well as the location of the conical shock apex are seen to be strong functions of the incoming vortex strength and the cylinder diameter. A salient feature of the supersonic vortex breakdown is the formation of an entropy-shear layer, which separates an interior subsonic zone containing the burst vortex from the surrounding supersonic flow. In keeping with the well-established characteristics of the low-speed vortex breakdown, a region of reversed flow is observed inside the turbulent subsonic zone. The steady vortex/cylinder interaction flowfields generated in the current study exhibit many characteristics of the unsteady vortex distortion patterns previously observed during normal shock wave/vortex interactions.


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