Moore, D. W. and Saffman, P. G. and Tanveer, S. (1988) The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow. Physics of Fluids, 31 (5). pp. 978-990. ISSN 0031-9171 http://resolver.caltech.edu/CaltechAUTHORS:MOOpof88
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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.
| Item Type: | Article |
|---|---|
| Additional Information: | Copyright © 1988 American Institute of Physics. Received 27 August 1987; accepted 29 January 1988. |
| Subject Keywords: | LAMINAR FLOW, STEADY−STATE CONDITIONS, INCOMPRESSIBLE FLOW, IDEAL FLOW, VORTICES, NUMERICAL SOLUTION, NONLINEAR PROBLEMS, INTEGRAL EQUATIONS, ROTATION |
| Record Number: | CaltechAUTHORS:MOOpof88 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:MOOpof88 |
| Alternative URL: | http://dx.doi.org/10.1063/1.866718 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 10159 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 15 Apr 2008 |
| Last Modified: | 26 Dec 2012 09:57 |
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