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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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.
|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.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||19 May 2008|
|Last Modified:||26 Dec 2012 10:02|
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