On the stability of vortex rings
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 ... 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 …
On the stability of vortex rings
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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 core size in an … Expand. 277. View 1 excerpt, references background; Save. Alert. 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.
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 … 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.
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. 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 ...
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.
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 … graniteware steamerWebThe 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. chinook centre movie theatreWeb4 de jun. de 1998 · ABSTRACT. Observations are reported for the three‐dimensional vortex structure created by a dyed water drop impacting a pool of water. The structure and evolution of the vorticity is studied for a Weber number of 22–25 and a Froude number of 25–28. The drop and pool do not make first contact at the bottom of the drop but at … granite ware stew potWeb29 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 … granite ware steamer and stock potWeb27 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 … chinook centre securityWeb19 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 … graniteware steamer potWebThe 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] ... chinook centre wisdom teeth