A Caltech Library Service

An analytical and computational investigation of shock-induced vortical flows

Yang, Joseph and Kubota, Toshi and Zukoski, Edward E. (1992) An analytical and computational investigation of shock-induced vortical flows. AIAA Papers, AIAA-92-0316 . American Institute of Aeronautics and Astronautics .

[img] PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


Interaction of a shock wave with a jet of light gas surrounded by an ambient heavy gas generates vorticity around the perimeter of the jet. This rolls the jet into a pair of counterrotating, finite-core size vortices. The canonical problem is the two-dimensional, unsteady interaction in a finite channel. The dynamics of the vortex pair are controlled by the incident shock strength, the light/heavy gas density ratio, and the channel spacing. Analytical expressions are derived which describe the strength and motion of the vortex pair as a function of these parameters. Numerical simulations shQw good agreement with these models. Various perturbations on the single jet flow are investigated with the goal of destabilizing the vortex pair and further enhancing the mixing. Single jet shape perturbations are relatively ineffective. However, an array of jets can dramatically increase the mixing. Another effective method is to form a reflected shock. Finally, an analogy to the corresponding three-dimensional, steady flows is demonstrated both qualitatively and quantitatively. This allows an understanding of the dynamics and mixing of the two imensional, unsteady flows to be directly applied to three-dimensional, steady flows typical of SCRAMJET designs.

Item Type:Report or Paper (Report)
Additional Information:© 1991 by Joseph Yang. Published by the American Institute of Aeronautics and Astronautics, Inc. with permission. This research was supported by the Air Force Office of Scientific Research, under the supervision of Dr. Julian Tishkoff, through contract number F49620-86-C-0113 and grant number AFOSR-90-0188. It was also supported by the National Science Foundation through a Cray supercomputer grant at the San Diego Supercomputer Center. The first author was supported by the Office of Naval Research through an ONR Graduate Fellowship. The authors would like to thank Dr. Elaine S. Oran, of the Laboratory for Computational Physics at the Naval Research Laboratory, for providing the algorithm used in the numerical simulations.
Group:Guggenheim Jet Propulsion Center
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-86-C-0113
Air Force Office of Scientific Research (AFOSR)AFOSR-90-0188
Office of Naval Research (ONR)UNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion Center329
Series Name:AIAA Papers
Issue or Number:AIAA-92-0316
Record Number:CaltechAUTHORS:20101130-135036760
Persistent URL:
Official Citation:An analytical and computational investigation of shock-induced vortical flows YANG, JOSEPH, California Institute of Technology, Pasadena; KUBOTA, TOSHI, California Institute of Technology, Pasadena; ZUKOSKI, EDWARD E., California Institute of Technology, Pasadena AIAA-1992-316 Aerospace Sciences Meeting and Exhibit, 30th, Reno, NV, Jan 6-9, 1992. 14 p.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21070
Deposited By: Ruth Sustaita
Deposited On:04 Dec 2010 00:48
Last Modified:03 Oct 2019 02:19

Repository Staff Only: item control page