On toroidal rotating drops

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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: … Web1 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 …

Non-axisymmetric shapes of a rotating drop in an immiscible …

Web1 de abr. de 2006 · The existence of toroidal rotating drops was observed experimentally by Plateau in 1841. In 1983 Gulliver rigorously showed that toroidal solutions of the … WebThe existence of toroidal rotating drops was observed experimentally by Plateau in 1841. In 1983 Gulliver rigorously showed that toroidal solutions of the governing equilibrium … dichroic glass heart

Axial drop motion in rotating fluids - Cambridge Core

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 … Web1 de mar. de 2024 · The impact of drops with superhydrophobic surfaces (), the corona splash that results after a drop hits a liquid bath (), and the behavior of falling rain drops … Weblobed shapes. Two-lobed drops isolated with constant! angular momentum are stable. The results bear on experiments designed to further those of Plateau (I863). 1. INTRODUCTION J. A. F. Plateau though blind was far-seeing when he began experimenting on the shapes of rotating liquid drops, for he intended his centimetre-sized drops held dichroic glass handmade

Physics - The many shapes of spinning drops

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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 … Webof toroidal drops. The experiments of Pairam & Fernández-Nieves (2009) demonstrated that a toroidal drop in a quiescent ﬂuid is unstable, and it either shrinks and forms a … dichroic glass hobby lobby dichroic glass cufflinks

"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 … " - On toroidal rotating drops

On toroidal rotating drops

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WebOn toroidal rotating drops. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian český русский български العربية Unknown WebOur simulations for the equal viscosity case demonstrated that, depending on the governing parameters, the toroidal drop either collapses, extends indefinitely or it attains a stationary toroidal shape. The latter may be stable or unstable with respect to …

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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 Rayleigh–Plateau instability. In this paper, the breakup dynamics of toroidal droplets in immiscible viscous oils have been numerically investigated. A two-dimensional model … Web1 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 …

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, … 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 …

Web1 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 … Web20 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 …

Weblobed shapes. Two-lobed drops isolated with constant! angular momentum are stable. The results bear on experiments designed to further those of Plateau (I863). 1. …

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 … citizen light powered watchesWebSchematic 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, … citizen limited edition 2022WebOn toroidal rotating drops. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe … citizen limited edition 2021Webof inherently unstable rotating toroidal drops, embedded in extensional or biextensional ﬂow, by subjecting the system to feedback control stabilization. The proposed controller is designed using a two-state dynamic model of the system and is tested on a high-order nonlinear dynamic model of the drop deformation. It is demonstrated that, through dichroic glass frit flakesWeb1 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 … dichroic glass in nasa spacecraftWeb26 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. citizenlight.frWeb22 de dez. de 2015 · On toroidal rotating drops. Pacific J. Math., 224(2) (2006), 279–289. Article MathSciNet MATH Google Scholar M. Koiso and B. Palmer. Stability of anisotropic capillary surfaces between parallel planes. Calculus of Variations and Partial Differential Equations, 25(3) (2006), 275–298. dichroic glass artists