On the stability of vortex rings
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). 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 …
On the stability of vortex rings
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Web26 de abr. de 2006 · The stability of the secondary ring was investigated through complementary numerical experiments and stability analysis. Both perturbed and … WebVolcanoes blow smoke rings and they do it rarely, because they require such precise conditions to form. This 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 ring is a stable, self-contained, toroidal structure …
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 … 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 …
Web12 de dez. de 2024 · 1.3 LITERATURE ON THE STABILITY OF VORTEX RINGS. The main instabilities of the ring are normally in the form of azimuthal waviness formed around the circumference of the ring that was initially laminar and stable. These waves then grow and in most cases, eventually lead to the ring collapsing in a turbulent blob. Webthe stability of a vortex ring in close proximity to another vortex ring. The analysis followed the approach used by Widnall & Sullivan (1973) for the long-wavelength …
Web4 de jun. de 1998 · A joint experimental and computational methodology is developed and applied to investigate a vortex ring impinging normally on a wall. The method uses digital particle image velocimetry to make planar flow measurements, which are then used to initialize a second‐order finite difference calculation. The experiment and the simulation …
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 … flushing f150 cooling systemWeb4 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, … greenfly treatmentWeb30 de nov. de 2024 · Abstract. Vortex rings are remarkably stable structures that occur in a large variety of systems, such as in turbulent gases (where they are at the origin of weather phenomena) 1, fluids (with ... flushing eyes with waterWeb21 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 … green fly spray for rosesWeb1 de mar. de 2015 · A circular vortex ring exhibits instabilities which have been recognized for many years, but whose precise boundaries we determine for the first … greenfly spray homemadeWeb4 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, … flushing f150 radiatorWeb27 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 … flushing f350 radiator