On the stability of vortex rings

Author: wcjv

August undefined, 2024

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 … 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 …

Strings, vortex rings, and modes of instability - ScienceDirect

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 … Web1 de nov. de 2016 · Two types of vortex rings are considered: Kelvin's vortex ring and a Gaussian vortex ring. For Kelvin's vortex ring the maximum first-order growth rate is found to be 1.65/2.56. green buffs sunglasses

The instability of short waves on a vortex ring Journal of Fluid ...

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. Web26 de abr. de 2006 · The stability of the secondary ring was investigated through complementary numerical experiments and stability analysis. Both perturbed and … 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 … Expand. 277. View 1 excerpt, references background; Save. Alert. green bugatti wallpaper

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

Dynamics and stability of a vortex ring impacting a solid boundary ...

WebThe 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 … 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 … greenbug for peopleWeb4 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, … green bug company

"WebThe 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 … " - On the stability of vortex rings

On the stability of vortex rings

New Instability of a Thin Vortex Ring in an Ideal Fluid

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] ... 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 …

Did you know?

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 … 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.

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). Web27 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 …

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 … 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 ...

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 …

WebOn the stability of vortex rings By SHEILA E. WIDNALL AND J. P. SULLIVAN Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, … green bug clear wingsWebThe 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 … flower that blooms in darknessWeb12 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, … green bug identificationWebA 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 … greenbugh tylerWeb29 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 … flower that blooms in moonlightWeb29 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 … flower that blooms onceWebAbstract. We revisit the stability of an elliptically strained vortex and a thin axisymmetric vortex ring, embedded in an inviscid incompressible fluid, to three-dimensional … flower that blooms in the early fall