Published August 1, 1987
| public
Journal Article
Open
The three-dimensional instability of strained vortices in a viscous fluid
- Creators
- Landman, M. J.
- Saffman, P. G.
Chicago
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Abstract
The recent theory describing 3-D exact solutions of the Navier–Stokes equations is applied to the problem of stability of 2-D viscous flow with elliptical streamlines. An intrinsically inviscid instability mechanism persists in all such flows provided the length scale of the disturbance is sufficiently large. Evidence is presented that this mechanism may be responsible for 3-D instabilities in high Reynolds number flows whose vortex structures can be locally described by elliptical streamlines.
Additional Information
© 1987 American Institute of Physics. Received 12 January 1987; accepted 24 April 1987. We wish to thank B. Bayly for helpful discussions and for bringing to our attention the relevance of the work of Orszag and Patera. This work was supported by the Department of Energy Office of Basic Energy Sciences (Contract No. DE-AS03-76-ER72012) and the Office of Naval Research (Contract No. N00014-85-K-0205).Files
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Additional details
- Eprint ID
- 9968
- Resolver ID
- CaltechAUTHORS:LANpof87
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