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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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.
|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.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||19 Jul 2012 19:24|
|Last Modified:||26 Dec 2012 15:37|
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