000014770 001__ 14770
000014770 005__ 20161115100201.0
000014770 04107 $$aeng
000014770 046__ $$k2016-08-21
000014770 100__ $$aLlewellyn Smith, Stefan
000014770 24500 $$aMotion of a compressible vortex pair

000014770 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014770 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014770 506__ $$arestricted
000014770 520__ $$2eng$$aTwo equal and opposite point vortices translate uniformly. The desingularization of this configuration to vortex patches and hollow vortices leads to a translation velocity that depends on the size of the vortices. The hollow case was first considered by Pocklington. We extend the hollow solution to the case with compressibility by employing the Imai-Lamla version of the Rayleigh-Janzen expansion. We find the O(M 2 ) correction to the shape and velocity of the pair. The results are compared in the limit of small vortex size to the previous compressible calculations of Moore and Pullin and of Leppington.

000014770 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014770 653__ $$a

000014770 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014770 720__ $$aLlewellyn Smith, Stefan
000014770 8560_ $$ffischerc@itam.cas.cz
000014770 8564_ $$s59775$$uhttps://invenio.itam.cas.cz/record/14770/files/TS.FM15-3.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1532, code TS.FM15-3.04
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000014770 962__ $$r13812
000014770 980__ $$aPAPER