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. doi:10.1017/S0022112076001894. https://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. This work was supported by the U.S. Army Research Office, Durham, under contract DAHC 04-75-C-0009. | ||||||
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| Issue or Number: | 3 | ||||||
| DOI: | 10.1017/S0022112076001894 | ||||||
| Record Number: | CaltechAUTHORS:20120719-090835821 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120719-090835821 | ||||||
| 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: | 09 Nov 2021 21:28 |
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