Curvature instability of a vortex ring
WebA 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 …
Curvature instability of a vortex ring
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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 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.", WebApr 1, 2005 · For a very thin vortex ring, the curvature instability can surpass the WBT instability. As exemplified by these studies, even an isolated vortex ring can afford to accommodate a number of instability modes, and many of them are yet unidentified.
WebJan 15, 2009 · It is shown that the helical vortex tube is subject to curvature instability, which was first found for the vortex ring. The growth rates of the curvature instability are obtained both analytically and numerically. The effects … WebThe instability of vortex rings has been the subject of several theoretical and experimental studies. Using massively-parallel direct numerical simulation methods we clarify the three-dimensional vortex dynamics during the nonlinear stage and determine the structure of the wake in the turbulent stage.
WebAbstract 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. 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
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…
WebIt is shown that the vortex rings are subjected to curvature instability as predicted analytically by Blanco-Rodríguez & Le Dizès (J. Fluid Mech., vol. 814, 2024, pp. 397 … in the flueWebSep 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 hope painting orange county californiaWebFeb 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 … in the flow of timeWebMar 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 … in the flow with affion crockettWebAug 18, 2024 · A brimmed-diffuser augmented turbine (called a wind lens turbine: WLT) actively uses vortices around the brim to enhance its power output. However, the vortices are usually unstable and asymmetric. This study attempted to stabilize the vortices to enhance the power output of a WLT. Then, we investigated new approaches using … new hope pa local income taxhttp://fluid.ippt.pan.pl/ictam04/CD_ICTAM04/FM25/11615/FM25_11615.pdf new hope palm harborhttp://eagle.ifs.tohoku.ac.jp/hattori.html new hope palm city