Published May 1, 1988
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Journal Article
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The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow
- Creators
- Moore, D. W.
- Saffman, P. G.
- Tanveer, S.
Chicago
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Abstract
Steady, inviscid, incompressible, two-dimensional flows with vortex patches bounded by vortex sheets (Batchelor flows) are calculated numerically. Two particular cases are considered: the vortex on a plane wall (Sadovskii vortex) and the vortex in a right-angled corner. Nonlinear integral equations are derived for the shape of the bounding vortex sheet which are solved numerically. Two different formulations are employed to check the results. Previous results by Sadovskii [Appl. Math. Mech. 35, 773 (1971)] and Chernyshenko (Royal Aircraft Establishment library translations Report No. 2133, 1983) for specific values of the parameters are confirmed. Only symmetrical solutions are found to exist.
Additional Information
Copyright © 1988 American Institute of Physics. Received 27 August 1987; accepted 29 January 1988.Files
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Additional details
- Eprint ID
- 10159
- Resolver ID
- CaltechAUTHORS:MOOpof88
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