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The compressible vortex pair

Published online by Cambridge University Press:  26 April 2006

S. D. Heister ,
J. M. Mcdonough ,
A. R. Karagozian  and
D. W. Jenkins
S. D. Heister
Affiliation:
Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, CA 90024, USA Present address: School of Aeronautics and Astronautics, Purdue University, IN 47907, USA.
J. M. Mcdonough
Affiliation:
Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, CA 90024, USA Present address: Department of Mechanical Engineering, University of Kentucky, KY 40506, USA.
A. R. Karagozian
Affiliation:
Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, CA 90024, USA
D. W. Jenkins
Affiliation:
Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, CA 90024, USA
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Abstract

A numerical solution for the flow field associated with a compressible pair of counter-rotating vortices is developed. The compressible, two-dimensional potential equation is solved utilizing the numerical method of Osher et al. (1985) for flow regions in which a non-zero density exists. Close to the vortex centres, vacuum ‘cores’ develop owing to the existence of a maximum achievable flow speed in a compressible flow field. A special treatment is required to represent these vacuum cores. Typical streamline patterns and core boundaries are obtained for upstream Mach numbers as high as 0.3, and the formation of weak shocks, predicted by Moore & Pullin (1987), is observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 220 , November 1990 , pp. 339 - 354
Copyright
© 1990 Cambridge University Press

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