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Singularities of the Euler equation and hydrodynamic stabilityEquations governing the motion of a specific class of singularities of the Euler equation in the extended complex spatial domain are derived. Under some assumptions, it is shown how this motion is dictated by the smooth part of the complex velocity at a singular point in the unphysical domain. These results are used to relate the motion of complex singularities to the stability of steady solutions of the Euler equation. A sufficient condition for instability is conjectured. Several examples are presented to demonstrate the efficacy of this sufficient condition which include the class of elliptical flows and the Kelvin-Stuart Cat's Eye.
Document ID
19930059634
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Tanveer, S.
(Ohio State Univ. Columbus, United States)
Speziale, Charles G.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 16, 2013
Publication Date
June 1, 1993
Publication Information
Publication: Physics of Fluids A
Volume: 5
Issue: 6
ISSN: 0899-8213
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
93A43631
Funding Number(s)
CONTRACT_GRANT: NAS1-18605
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NSF DMS-91-07608
CONTRACT_GRANT: NAS1-19480
CONTRACT_GRANT: DE-FG02-92ER-14270
Distribution Limits
Public
Copyright
Other

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