Curvature instability of a vortex ring
WebA new linear instability mechanism of curvature origin is established for a vortex ring. The curvature effect reduces O (2) × SO (2) symmetry of a circularcylindrical tube to O (2), … WebAnalytic and numerical research on the vortex sheet on the sphere have revealed that (1) the vortex sheet becomes linearly unstable due to Kelvin-Helmholtz instability, (2) its curvature diverges in flnite time and (3) it rolls up into a doubly branched spiral, when the equa-tion of motion of the vortex sheet is regularized by the vortex ...
Curvature instability of a vortex ring
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WebThe basic state solution is given as a perturbation series in a small parameter representing curvature of the vortex or a weak strain acting on it. With the small parameter in the basic state,... WebAug 25, 2000 · Curvature instability of a vortex ring Y. Fukumoto, Y. Hattori Physics Journal of Fluid Mechanics 2005 A global stability analysis of Kelvin's vortex ring to three-dimensional disturbances of infinitesimal amplitude is made. The basic state is a steady asymptotic solution of the Euler equations, in… Expand 59 PDF View 2 excerpts, cites …
WebCurvature instability of a vortex ring Fukumoto, Yasuhide Hattori, Yuji Abstract A global stability analysis of Kelvin's vortex ring to three-dimensional disturbances of infinitesimal amplitude is made. WebA new linear instability mechanism of curvature origin is established for a vor- tex ring. The curvature effect reduces O (2) × SO (2) symmetry of a circular- cylindrical tube to O (2), and fuels a pair… Expand View 2 excerpts, cites background and methods Elliptical instability of a vortex tube and drift current induced by it
Web(I883) conclusion that vortex rings of small cross-sectional area are stable. They show, by using the cut-off approximation proposed by Crow (I970), that helical waves of … Web"Curvature Instability of a Vortex Ring," Proc. 21st International Congress of Theoretical and Applied Mechanics (ICTAM2004), edited by W. Gutkowski and T. A. Kowalewski (IPPT PAN, 2004) FM25L_11615. Y. Fukumoto and Y. Hattori, "Linear stability of a …
WebThe stability of vortex rings is investigated both theoretically and experimentally. The theoretical analysis considers the stability of the vortex-filament ring of small but finite …
WebA straight infinite vortex of finite cross section is deformed by the action of weak irrotational plane strain. The deformed vortex is shown, in the absence of axial flow, to be unstable to disturbances whose axial wavelengths lie in a narrow band, whose width is proportional to the imposed strain. all spitfire pilotsWebThus the overall curvature has no effect to leading order on the short waves. Finally we must stress that we are not claiming to have proved stability of even the hollow vortex. This cannot be done by a leading order analysis in terms of a/R ... It is our belief that the observed instability of vortex rings which often (but not invariably ... all splatoon 3 unlockablesWebtitle = "Curvature instability of a vortex ring", abstract = "A global stability analysis of Kelvin's vortex ring to three-dimensional disturbances of infinitesimal amplitude is made. … all splatoon 3 compatible amiibosall spkWebMar 10, 2005 · The instability mechanism is traced to stretching of disturbance vorticity in the toroidal direction. In the absence of viscosity, the dipole effect outweighs the straining … all splatoon 1 specialsWebA new linear instability mechanism of curvature origin is established for a vortex ring. The curvature effect reduces O (2) × SO (2) symmetry of a circularcylindrical tube to O (2), and fuels a pair of Kelvin waves whose azimuthal wavenumbers on the core are separated by … all splatoon idolshttp://eagle.ifs.tohoku.ac.jp/hattori.html allspokane.com