000014623 001__ 14623
000014623 005__ 20161115100157.0
000014623 04107 $$aeng
000014623 046__ $$k2016-08-21
000014623 100__ $$aBillant, Paul
000014623 24500 $$aInstabilities of baroclinic vortices in stratified-rotating fluids

000014623 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014623 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014623 506__ $$arestricted
000014623 520__ $$2eng$$aWe investigate the stability of an axisymmetric pancake vortex in a continuously stratified and rotating fluid. The characteristics and domains of existence of the different instabilities are determined as a function of the Froude number Fh , Rossby number Ro, aspect ratio α and Reynolds number Re. The centrifugal instability is almost independent of the aspect ratio of the vortex due to its short-wavelength nature and depends mostly on the Rossby number Ro and the buoyancy Reynolds number R = ReFh2 . The shear instability exists for the azimuthal wavenumber m = 2 only when Fh /α is below a threshold depending on Ro. This condition comes from confinement effects along the vertical. The shear instability transforms into a mixed baroclinic-shear instability when the Burger number Bu = α2 Ro2 /(4Fh2 ) is smaller than unity. The baroclinic instability develops when Fh /α|1 + 1/Ro| > 1.46 in qualitative agreement with an analytical model.

000014623 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014623 653__ $$a

000014623 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014623 720__ $$aBillant, Paul
000014623 8560_ $$ffischerc@itam.cas.cz
000014623 8564_ $$s151356$$uhttps://invenio.itam.cas.cz/record/14623/files/TS.FM09-2.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1105, code TS.FM09-2.04
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000014623 962__ $$r13812
000014623 980__ $$aPAPER