Curvature instability of a vortex ring
WebMar 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. 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.
Curvature instability of a vortex ring
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http://fluid.ippt.gov.pl/ictam04/CD_ICTAM04/FM25/11615/FM25_11615.pdf 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.
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 … 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
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 … WebVortex rings are invariably susceptible to wavy distortions, leading sometimesto violent wiggles and eventually todisruption. It prevails that the Moore-Saffman-Tsai- Widnall instability,...
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.
WebCURVATURE INSTABILITY OF A VORTEX RING Yasuhide Fukumoto∗, Yuji Hattori∗∗ ∗Graduate School of Mathematics, Kyushu University, Japan ∗∗Faculty of Engineering, … iitm icsrWebAnalytic 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 ... is there a switch proWebAug 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 … iitm math facultyWebThe 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,... iitm humanities departmentWebAbstract 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. iit microsoft office freeWebJan 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 … is there a symbol for averageWebAug 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 … iitm msc physics syllabus