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Evolution of a curved vortex filament into a vortex ring

Moin, Parviz and Leonard, Anthony and Kim, John (1986) Evolution of a curved vortex filament into a vortex ring. Physics of Fluids, 29 (4). pp. 955-963. ISSN 0031-9171. http://resolver.caltech.edu/CaltechAUTHORS:MOIpof86

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Abstract

The deformation of a hairpin-shaped vortex filament under self-induction and in the presence of shear is studied numerically using the Biot–Savart law. It is shown that the tip region of an elongated hairpin vortex evolves into a vortex ring and that the presence of mean shear impedes the process. In addition, evolution of a finite-thickness vortex sheet under self-induction is investigated using the Navier–Stokes equations. The layer evolves into a hairpin vortex, which in turn produces a vortex ring of high Reynolds stress content. These results indicate a mechanism for the generation of ring vortices in turbulent shear flows, and a link between the experimental and numerical observation of hairpin vortices and the observation of Falco [Phys. Fluids 20, S124 (1977)] of ring vortices in the outer regions of turbulent boundary layers.


Item Type:Article
Additional Information:© 1986 American Institute of Physics. Received 26 September 1985; accepted 18 December 1985. We are grateful to Dr. Nagi Mansour and Dr. Robert Rogallo for helpful comments on a draft of this manuscript.
Record Number:CaltechAUTHORS:MOIpof86
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MOIpof86
Alternative URL:http://dx.doi.org/10.1063/1.865690
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10576
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 May 2008
Last Modified:26 Dec 2012 10:02

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