Stability of a Pair of Counterrotating and Corotating Vortices of Different Strengths
Publication: Journal of Engineering Mechanics
Volume 135, Issue 6
Abstract
The stability of a pair of line vortices is considered. The two line vortices are different in strength of circulation and can be counter- or corotating. This work is a generalization reported by Crow in 1970 and Jimenez in 1975. We find that the most unstable wave number and the maximum growth rate of instability are influenced by the circulation difference between the vortices for a pair of counterrotating vortices. For a pair of corotating vortices, we find that their stability properties are not significantly influenced by their circulation difference. Although the physically most-amplified wave number is not apparent based on linear stability analysis, a pair of corotating vortices is unstable irrespective of the circulation difference.
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Acknowledgments
This research is funded in part by the Office of Naval Research Coastal Geosciences Program and the Iron Ore Company, Labrador, Canada.
References
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 6 • June 2009
Pages: 591 - 595
Copyright
© 2009 ASCE.
History
Received: Jun 6, 2008
Accepted: Oct 15, 2008
Published online: May 15, 2009
Published in print: Jun 2009
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