000014006 001__ 14006
000014006 005__ 20161115094008.0
000014006 04107 $$aeng
000014006 046__ $$k2016-08-21
000014006 100__ $$aFeys, Jan
000014006 24500 $$aElliptical instability of the Moore-Saffman model for a trailing wingtip vortex

000014006 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014006 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014006 506__ $$arestricted
000014006 520__ $$2eng$$aIn this study, the elliptical instability exhibited by two counter-rotating trailing vortices is considered. This type of vortex instability can be viewed as a resonance between two normal modes of a vortex and an externally imposed strain field. Recently, numerical investigations have extended earlier results that ignored axial flow to include models with a simple axial jet such as the similarity solution found by Batchelor [1]. Here, we present growth rates of elliptical instability for a family of velocity profiles found by Moore & Saffman [2]. These profiles involve a parameter n that depends on the wing loading, and are therefore capable of modelling both the jet-like and wake-like axial flow present in a trailing vortex at short and intermediate distances behind the wingtip. A direct numerical simulation is performed using an efficient spectral method in cylindrical coordinates developed by Matsushima & Marcus [3]. We compare our results to those for the Batchelor vortex.

000014006 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014006 653__ $$a

000014006 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014006 720__ $$aFeys, Jan
000014006 8560_ $$ffischerc@itam.cas.cz
000014006 8564_ $$s162710$$uhttps://invenio.itam.cas.cz/record/14006/files/PO.FM15-1.05.79.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1554, code PO.FM15-1.05.79).
000014006 962__ $$r13812
000014006 980__ $$aPAPER