On the stability of vortex rings

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August undefined, 2024

Web10 de mar. de 2005 · The stability of vortex rings is investigated both theoretically and experimentally. The theoretical analysis considers the stability of the vortex-filament … WebAbstract. We revisit the stability of an elliptically strained vortex and a thin axisymmetric vortex ring, embedded in an inviscid incompressible fluid, to three-dimensional disturbances of infinitesimal amplitude. The results of Tsai & Widnall (1976) for an elliptically strained vortex are simplified by providing an explicit expression for the ...

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Web4 de set. de 2024 · It 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, … Web21 de nov. de 2016 · The stability of vortex rings with an azimuthal component of velocity is investigated numerically for various combinations of ring wavenumber and swirl magnitude. The vortex rings are equilibrated from an initially Gaussian distribution of azimuthal vorticity and azimuthal velocity, at a circulation-based Reynolds number of 10 … first source bank bristol street elkhart

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WebThe circulation of a steady vortex ring ζis given by 1 2π Z R3 ζ(x)dx. A steady vortex ring ζis said to be centralized if ζis symmetric non-increasing in z, namely, ζ(r,z) = ζ(r,−z), and … WebNew applications for optical vortex interferometers (OVIs) are under investigation. The precision of the OVI depends strongly on the accuracy of positioning of the vortex … firstsource advantage ny

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WebOur numerical simulations reveal that the final distribution of winding numbers is narrower than the initial distribution of total phases, indicating an increased probability for no-vortex configurations. WebLinear Stability of Inviscid Vortex Rings to Axisymmetric Perturbations Bartosz Protas∗ Department of Mathematics and Statistics, McMaster University Hamilton, Ontario, L8S 4K1, Canada October 31, 2024 Abstract We consider the linear stability to axisymmetric perturbations of the family of inviscid vortex rings discovered by Norbury (1973). first source bank internshipsWeb19 de mar. de 2024 · Abstract—The problem of stability of steady-state thin vortex ring flow in an ideal fluid is studied in the linear approximation. The case of the isochronous vortex ring in which the liquid-particle rotation periods are identical is considered. In such a flow there are no perturbations of the continuous spectrum. This makes considerably … first source bank corporate office

"WebIn nature, vortex rings are found to occur in various shapes and sizes. Perhaps the most familiar example is the smoke-ring which is produced when cigarette smoke is... Skip to … " - On the stability of vortex rings

On the stability of vortex rings

Web26 de abr. de 2006 · The stability of the secondary ring was investigated through complementary numerical experiments and stability analysis. Both perturbed and … Web1 de nov. de 1993 · Accurate numerical simulations of vortex rings impinging on flat boundaries revealed the same features observed in experiments. The results for the impact with a free-slip wall compared very well with previous numerical simulations that used spectral methods, and were also in qualitative agreement with experiments. The present …

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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 … WebThe structure and stability of vortex rings By T. MAXWORTHY Departments of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, …

Web4 de jun. de 1998 · Laminar vortex rings approaching a solid planar surface and a free surface have been investigated experimentally over the range of Reynolds numbers based on the circulation, Re Γ, from 900 to 2350.The emphasis is on the process of vortex stretching, induction of boundary layer on the surface, formation of secondary vortices, … WebWidnall, S. & Sullivan, J. I973 On the stability of vortex rings. Proc. R. Soc. Lond. A 332, 335. Yuen, H. C. 1974 The stability of a vortex ring with axial flow, buoyancy forces and …

WebOn the stability of vortex rings By SHEILA E. WIDNALL AND J. P. SULLIVAN Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, … WebThe stability and development of vortex rings have been the subject of numerous theoretical [6,7,8,9,10,11] and experimental [12,13,14,15] ...

WebThis one is produced by Mount Etna on May 2nd, 2024 #Physics: Smoke rings are formed when a puff of smoke is expelled from a circular opening, creating a vortex ring of swirling air. The vortex ...

Web21 de nov. de 2016 · The stability of vortex rings with an azimuthal component of velocity is investigated numerically for various combinations of ring wavenumber and swirl magnitude. The vortex rings are equilibrated from an initially Gaussian distribution of azimuthal vorticity and azimuthal velocity, at a circulation-based Reynolds number of 10 … first source bank dowagiac miWeb29 de mar. de 2006 · Abstract. A series of observations on experimentally produced vortex rings is described. The flow field, ring velocity and growth rate were observed using dye … first source bank bluffton indianaWebAbstract. We revisit the stability of an elliptically strained vortex and a thin axisymmetric vortex ring, embedded in an inviscid incompressible fluid, to three-dimensional … campari underwritingWeb29 de mar. de 2006 · Short-wave instabilities are discussed for both the vortex ring and the vortex pair. Instability for both the ring and the pair is predicted to occur whenever the … firstsource advantage llc reviewsWebWidnall, S. & Sullivan, J. I973 On the stability of vortex rings. Proc. R. Soc. Lond. A 332, 335. Yuen, H. C. 1974 The stability of a vortex ring with axial flow, buoyancy forces and electric charges. 537. Title: A Note on the Stability of a … first source bank appWeb13 de abr. de 2024 · To overcome this problem, vortex cut and vortex ring models can be used to handle the discontinuous potential on the toroidal bubble surface. In this work, we compare these two models applied to toroidal bubble dynamics in a free field and near a rigid wall in terms of bubble profile, bubble gas pressure, and dynamic pressure induced … camparison of panel mounting systemsWeb27 de mar. de 1973 · Attention was also given to the stability of vortex rings at this time, with analytical (Widnall and Sullivan (1973), Widnall et al. (1974), Widnall and Tsai … camparisons of sandals resorts jamaica