On toroidal rotating drops
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 …
On toroidal rotating drops
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WebSchematic 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, … 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 …
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 … Webof inherently unstable rotating toroidal drops, embedded in extensional or biextensional flow, by subjecting the system to feedback control stabilization. The proposed controller …
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 … WebResumen. The existence of toroidal rotating drops was observed experimentally by Plateau in 1841. In 1983 Gulliver rigorously showed that toroidal solutions of the …
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.
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. … trystaryard commandaWeb1 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 … try statement in pythonWebof 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 phillip roderickWeblobed 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 trysta tressesWeb1 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 … try statement powershellWeb1 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. try statement c++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 … phillip rodocker • john l. scott inc