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. 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 …
On toroidal rotating drops
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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 Web27 de nov. de 2024 · Dynamic and stationary shapes of rotating toroidal drops in viscous linear flows. Journal of Fluid Mechanics, Vol. 923, Issue. , CrossRef; Google Scholar; Malik, Sumit Lavrenteva, Olga M. Idan, Moshe and Nir, Avinoam 2024. Controlled stabilization of rotating toroidal drops in viscous linear flow.
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 … 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 …
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 equations do indeed exist. In this short note, we settle two questions posed by Gulliver … 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. …
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 …
Webof inherently unstable rotating toroidal drops, embedded in extensional or biextensional flow, by subjecting the system to feedback control stabilization. The proposed controller … northminster presbyterian church bakersfieldWeb5 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 … how to scan multiple pages on canon mx492WebOur 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 … how to scan multiple pages into a single pdfWeb5 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 … how to scan multiple pages on brother 2390dwWebOn 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 how to scan multiple pages on canon pixmaWebFigure 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 … how to scan multiple pages into pdfWebThe 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, … northminster presbyterian church cuyahoga oh