Baker, G. R. and Saffman, P. G. and Sheffield, J. S. (1976) Structure of a linear array of hollow vortices of finite cross-section. Journal of Fluid Mechanics, 74 (3). pp. 469-476. ISSN 0022-1120 http://resolver.caltech.edu/CaltechAUTHORS:20120719-090835821
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Abstract
Free-streamline theory is employed to construct an exact steady solution for a linear array of hollow, or stagnant cored, vortices in an inviscid incompressible fluid. If each vortex has area A and the separation is L, there are two possible shapes if A[1/2]/L is less than a critical value 0.38 and none if it is larger. The stability of the shapes to two-dimensional, periodic and symmetric disturbances is considered for hollow vortices. The more deformed of the two possible shapes is found to be unstable while the less deformed shape is stable.
| Item Type: | Article | ||||
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| Additional Information: | © 1976 Cambridge University Press. Received 2 September 1975. Published online: 29 March 2006. This work was supported by the U.S. Army Research Office, Durham, under contract DAHC 04-75-C-0009. | ||||
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| Record Number: | CaltechAUTHORS:20120719-090835821 | ||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20120719-090835821 | ||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||
| ID Code: | 32575 | ||||
| Collection: | CaltechAUTHORS | ||||
| Deposited By: | Tony Diaz | ||||
| Deposited On: | 19 Jul 2012 19:24 | ||||
| Last Modified: | 26 Dec 2012 15:37 |
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