On the stability of vortex rings

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August undefined, 2024

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 ... WebInstead of blindly pursuing the lightweight of the mount body, ZWO is more so along the lines of stability for an entire use. 8kg-13kg payload. The load capacity of AM3 without the counterweight is 8kg and 13kg with the counterweight. * The counterweight should be secured on a counterweight bar of no more than 20cm in length.

(PDF) Linear stability of a vortex ring revisited - ResearchGate

Web26 de abr. de 2006 · The stability of the secondary ring was investigated through complementary numerical experiments and stability analysis. Both perturbed and … WebExploratory measurements of the effect of a stable continuous vertical stratification on horizontally propagating vortex rings show that the rings are subject to a stratification induced instability and subsequent collapse, which forms a well mixed intrusion. For initial ring Froude numbersF 0=U 0/Nd 0=1.0–2.0, instability and collapse occurs when the … how does the dragon terrorize the geats

arXiv:1810.06068v1 [physics.flu-dyn] 14 Oct 2024

WebThe structure and stability of vortex rings By T. MAXWORTHY Departments of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, … Web30 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 ... 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 … how does the doppler effect affect sound

A Note on the Stability of a Vortex Ring of Small Cross-Section

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Web13 de abr. de 2024 · We demonstrate this to be associated with a novel ring-like vortex that prevailed throughout the simulations. Vortex dynamics and formation of these turbulent structures are explored. I ... “ On the stability of a free-to-rotate short-tail fairing and a splitter plate as suppressors of vortex-induced vibration,” Ocean Eng ... 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 core size in an inviscid fluid to small sinusoidal displacements of its centreline. how does the dollar workWebThe work focuses on the problem of stability and viscous decay of single vortex rings. A tentative classification scheme is proposed for vortex rings which is based on extensive hot-wire measurements of velocity in the ring core and wake, and flow visualization, viz. laminar, wavy, turbulence-producing, and turbulent. Prediction of vortex ring type is … photoallergic reaction treatment

"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 main ... Widnall, S. E. and Sullivan, J. P. 1973 On the stability of vortex rings. Proc. Roy. Soc. London A332, 335–353. ADS Google Scholar " - On the stability of vortex rings

On the stability of vortex rings

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

Web12 de abr. de 2024 · An on-chip integrated visible microlaser is a core unit of visible-light communication and information-processing systems and has four requirements: robustness against fabrication errors, a compressible linewidth, a reducible threshold, and in-plane emission with output light directly entering signal waveguides and photonic circuits ( 10, … 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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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 … 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, …

Web11 de abr. de 2013 · We also find solutions for the problem of three vortex rings, which describe both the regular and chaotic leapfrogging motion of vortex rings. ... A Note on the Stability of a Vortex Ring of Small … WebOn the stability of vortex rings By SHEILA E. WIDNALL AND J. P. SULLIVAN Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, …

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 electric charges. 537. Title: A Note on the Stability of a … 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 …

Web29 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 …

WebA series of observations on experimentally produced vortex rings is described. The flow field, ring velocity and growth rate were observed using dye and hydrogen-bubble … photoallianceWeb27 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 … how does the dot workWeb29 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 … photoallergische reaktionWeb13 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 … photoane attorneysWebThe solution to 0 (e 2) is presented, although the details of the stability analysis are carried through completely only for a special class of bending waves that are known to be … how does the door bull workWeb1 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 … photoamericaWeb4 de jun. de 1998 · Ring vortex evolution, from the initial roll‐up phase through to the final turbulent phase, was experimentally studied to see the dependence of its stirring properties on both the initial (accelerating, constant, decelerating, slow, fast) piston motion as well as on the boundary (tube/hole geometry) conditions. Stirring between fluid initially … how does the doubling cube work in backgammon