000013928 001__ 13928
000013928 005__ 20161115094005.0
000013928 04107 $$aeng
000013928 046__ $$k2016-08-21
000013928 100__ $$aYudin, Mikhail
000013928 24500 $$aCylinder instability in circulation flow bounded by external cylindrical wall

000013928 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000013928 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000013928 506__ $$arestricted
000013928 520__ $$2eng$$aWithin the framework of two-dimensional incompressible Euler equations, we study stability of the system composed of an inner free circular cylinder, the fluid with circular streamlines around the cylinder, and an exterior cylindrical wall. A dispersion relation is obtained for different mean flows realized between the cylinder and the wall: potential flow, flow with constant vorticity and flow with weakly decreasing/increasing vorticity. Exact solutions of the dispersion relation are provided and analyzed. It is shown that unlike the unbounded problem, the heavy cylinder in this case becomes unstable even in the potential flow. The sheared instability which is characteristic feature for the unbounded problem for the flow with decreasing vorticity, is realized in the bounded case not only for decreasing, but also for increasing vorticity. Amol’d theorem is used to perform the energy study of the stability loss in the system.

000013928 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013928 653__ $$a

000013928 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000013928 720__ $$aYudin, Mikhail
000013928 8560_ $$ffischerc@itam.cas.cz
000013928 8564_ $$s126723$$uhttps://invenio.itam.cas.cz/record/13928/files/PO.FM07-1.21.137.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1025, code PO.FM07-1.21.137).
000013928 962__ $$r13812
000013928 980__ $$aPAPER