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On toroidal rotating drops

Web1 de jan. de 2015 · Caption: Fig. 1. Schematic diagrams showing cross-sections of a rotating spheroidal drop (left) and a rotating toroidal drop (right). Here the arclength s increases in the clockwise direction, and the tangent angle [psi] is measured with respect to the horizontal. Caption: Fig. 2. Web1 de fev. de 2024 · Plateau's conjecture on the existence of toroidal solutions was unresolved until 1984, when Gulliver [4] verified that toroidal rotating drops do indeed exist. Gulliver found a one parameter family of embedded tori each with convex cross section. Smith and Ross [11], following Gulliver, characterized all embedded toroidal …

A. K. Nurse, S. R. Coriell, and G. B. McFadden - NIST

Web1. Introduction. Toroidal drops present a phenomenon in fluid dynamics which has attracted the attention of researchers since they were observed in the experiments by … Web20 de abr. de 2015 · Prolate spheroidal shapes occur if a drop of lower density rotates within a denser medium; these drops appear to be linearly stable. This work is motivated by recent investigations of toroidal tissue clusters that are observed to climb conical obstacles after self-assembly [Nurse et al., Journal of Applied Mechanics 79 (2012) 051013]. signs of having a miscarriage https://newcityparents.org

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Web1 de dez. de 2024 · The behavior of rotating and/or charged drops is a classic problem in fluid mechanics with a multitude of industrial applications. Theoretical studies of such … Web5 de fev. de 2010 · A stationary rotating surface is a compact surface in Euclidean space whose mean curvature H at each point x satisfies 2H(x) = a r(x) 2 + b, where r(x) denotes the distance from x to a fixed straight-line L, and a and b are constants. These surfaces are solutions of a variational problem that describes the shape of a drop of incompressible … WebThe nonaxisymmetric shapes of a rotating drop in an immiscible system were studied. Five basic families of shapes (axisymmetric, two-lobed, three-lobed, four-lobed, and toroidal) were observed. The sequence (axisymmetric to two-lobed to three-lobed to four-lobed to toroidal) seems to be linked to increasing spin-up velocity. For the axisymmetric case, … signs of having aids

Equilibrium shapes of cylindrical rotating liquid drops

Category:Shrinking instability of toroidal droplets PNAS

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On toroidal rotating drops

On the Stability of Rotating Drops - PubMed

WebOn toroidal rotating drops. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe … WebResumen. The existence of toroidal rotating drops was observed experimentally by Plateau in 1841. In 1983 Gulliver rigorously showed that toroidal solutions of the …

On toroidal rotating drops

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Web12 de fev. de 2001 · The drops assume a wide variety of highly reproducible structures depending on drop size, rotation speed, and flow history. These structures include toroidal rings of water around the rotating shaft and water sheaths, which, depending on experimental conditions, can either expand to press against the inner walls of the outer … WebMaxworthy, T. 1970 The flow created by a sphere moving along the axis of a rotating, slightly viscous fluid . J. Fluid Mech. 31 , 643 – 656. Google Scholar. Moore, D. W. & Saffman, P. G. 1968 The rise of a body through a rotating fluid in a container of finite length . J. Fluid Mech. 31 , 635 – 642.

WebQuasi-toroidal oscillations in slowly rotating stars are examined within the framework of general relativity. Unlike the Newtonian case, the oscillation frequency to first order of the rotation rate is not a single value, even for uniform rotation. All the oscillation frequencies of the r-modes are purely neutral and form a continuous spectrum limited to a certain … WebToroidal drops can be obtained in rotating fluid as in Plateau's (Reference Plateau 1857) experiments and the recent studies of Pairam & Fernández-Nieves (Reference Pairam …

Web10 de nov. de 2024 · ABSTRACT. Toroidal droplets are inherently unstable in viscous oils; they either shrink to a single drop or break into several spherical droplets due to … WebToroidal drops, embedded in viscous flow, have a large range of stationary shapes that are challenging to compute numerically due to their inherent instability. When both the drop and the outer fluid are Newtonian liquids, the only reported cases of such stable configurations are of highly expanded drops rotating in an axisymmetrical extensional flow.

Web26 de fev. de 2024 · A rotating spiral pattern of the particle flux was observed in the experiment using rotating n = 1 RMP field. Figure 2 ... reduces 9% and the plasma toroidal rotation near the center v t drops from 80 km s −1 to about 50 km s −1. Both of these effects are not affected by the RMP rotation.

WebOn toroidal rotating drops. Autores: Ryan Hynd, John McCuan Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 224, Nº 2, 2006, págs. 279-290 Idioma: … therapeutic music activitiesWebOn toroidal rotating drops Ryan Hynd and John McCuan. Contact the author: Please use for correspondence this email. Submission date: 10. Feb. 2006 Pages: 12 published in: Pacific journal of mathematics, 224 (2006) 2, p. 279-289 Bibtex Keywords and phrases: rotating drops, mean curvature, Plateau, Delaunay signs of having a kidney stoneWeb1 de dez. de 2024 · When both the drop and the outer fluid are Newtonian liquids, the only reported cases of such stable configurations are of highly expanded drops rotating in … therapeutic neck pillows for cpapWeb20 de abr. de 2015 · The linear stability of a drop is determined by solving the eigenvalue problem associated with the second variation of the energy functional. We compute … signs of having adhdWeb20 de abr. de 2015 · Toroidal drops with a large aspect ratio (major radius to minor radius) are subject to azimuthal instabilities with higher mode numbers that are analogous to the … signs of having a girltherapeutic mundor light bulbWeb1 de dez. de 2008 · Video 1: The three-lobed structure of a rotating droplet. The first experimental investigations of rotating fluid droplets were conducted by a blind Belgian physicist named Joseph-Antoine-Ferdinand Plateau (Plateau, who also performed experiments with light, once kept his naked eyes fixed for too long on the sun, which … therapeutic movement definition