2024 Curvature instability of a vortex ring

Curvature instability of a vortex ring

Author: iklq

August undefined, 2024

http://fluid.ippt.gov.pl/ictam04/CD_ICTAM04/FM25/11615/FM25_11615.pdf WebSep 10, 2013 · Recently, the interaction between vortex ring and solid wall has attracted more and more attentions, for not only it is a very common phenomenon in the engineering, but also it could benefit the understanding of the mechanism of interaction between the vortex and the boundary layer.

New Instability of a Thin Vortex Ring in an Ideal Fluid

WebVortex rings are invariably susceptible to wavy distortions, leading sometimesto violent wiggles and eventually todisruption. It prevails that the Moore-Saﬀman-Tsai- Widnall … WebAbstract The instability of barrel-shaped vibrations of a vortex ring in an ideal fluid is investigated. These vibrations, stable for a vortex ring with a piecewise-uniform vorticity profile, appear to be unstable for a vortex ring with a smooth vorticity profile. infused cupcakes atlanta

The instability of the thin vortex ring of constant vorticity ...

WebSep 1, 1987 · While this appears to be remarkably distinct from the two vortex collision, at sufficiently high Reynolds numbers the interaction between primary and secondary vortex rings leads to complete... WebThe instability mechanism is traced to stretching of disturbance vorticity in the toroidal direction. In the absence of viscosity, the dipole effect outweighs the straining field effect of O(ε 2) known as the Moore-Saffman-Tsai-Widnall instability. The viscosity acts to damp the former preferentially and these effects compete with each other.", WebMar 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 … infused dining

LINEAR AND NONLINEAR INSTABILITY OF A VORTEX RING

Hierarchical instability of a vortex ring array in multipulse laser ...

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. WebThus 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 ... infused cupcakes recipeWebAbstract A theoretical investigation of the instability of a vortex ring to short azimuthal bending waves is presented. The theory considers only the stability of a thin vortex ring with a core of constant vorticity (constant /r) in an ideal fluid. mitchell wilson linkedin

"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), … " - Curvature instability of a vortex ring

Curvature instability of a vortex ring

Motion of a ring structure of coherent vortices on a sphere …

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 … WebFeb 25, 2005 · Abstract. 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 powers of the ratio $\epsilon$ of the core …

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WebThe instability mechanism is traced to stretching of disturbance vorticity in the toroidal direction. In the absence of viscosity, the dipole effect outweighs the straining field effect …

http://fluid.ippt.pan.pl/ictam04/CD_ICTAM04/FM25/11615/FM25_11615.pdf 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 ...

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), and fuels a pair of Kelvin waves whose azimuthal wavenumbers on the core are separated by … WebEarlier work has shown that ring dark solitons in two-dimensional Bose-Einstein condensates are generically unstable. In this work, we propose a way of stabilizing the ring dark soliton via a radial Gaussian external p…

WebCURVATURE INSTABILITY OF A VORTEX RING Yasuhide Fukumoto∗, Yuji Hattori∗∗ ∗Graduate School of Mathematics, Kyushu University, Japan ∗∗Faculty of Engineering, …

WebMar 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 … mitchell wilson facebookWebA 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 mitchell williams selig gates woodyardWebThe 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,... infused dinner party near meWebMar 19, 2024 · The curvature of vortex lines in the vortex ring can lead to a weak (in the case of thin ring) interaction between perturbations whose structure is analogous to the structure of the Kelvin modes of the cylindrical vortex. mitchell wilson accountantsWeb"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 … mitchell wilson kpmgWebMar 19, 2024 · The vortex ring represents three-dimensional flow which can be initiated under the laboratory conditions and in which the important effects related to the vortex … infused dinner nycWebA theoretical investigation of the instability of a vortex ring to short azimuthal bending waves is presented. The theory considers only the stability of a thin vortex ring with a … infused dinner party los angeles