000014010 001__ 14010
000014010 005__ 20161115094008.0
000014010 04107 $$aeng
000014010 046__ $$k2016-08-21
000014010 100__ $$aKrishnamurthy, Vikas
000014010 24500 $$aAnalytical solutions for weakly compressible von Karman vortex streets

000014010 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014010 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014010 506__ $$arestricted
000014010 520__ $$2eng$$aVortex streets are a common feature of fluid flows at high Reynolds numbers and their study is now well developed for incom- pressible fluids. Much less is known, however, about compressible vortex streets. Recently Crowdy & Green presented analytical solutions describing a class of steady incompressible von Karman vortex streets with distributed vorticity. To construct these they adopted the hollow vortex model where each vortex is modelled as a finite-area constant pressure region with non-zero circulation. For weakly compressible flows steady hollow vortex solutions are well known to be candidates for the leading order solution in a perturbative Rayleigh-Jansen ex- pansion of a compressible flow. Here we give details of that expansion based on the vortex street solutions of Crowdy & Green. Physical properties of the compressible vortex streets are described. Our approach uses the lmai-Lamla method coupled with analytic function theory and conformal mapping.

000014010 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014010 653__ $$a

000014010 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014010 720__ $$aKrishnamurthy, Vikas
000014010 8560_ $$ffischerc@itam.cas.cz
000014010 8564_ $$s122936$$uhttps://invenio.itam.cas.cz/record/14010/files/PO.FM15-1.09.83.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1562, code PO.FM15-1.09.83).
000014010 962__ $$r13812
000014010 980__ $$aPAPER