The Saffman-Taylor problem for an extremely shear-thinning fluid
نویسندگان
چکیده
منابع مشابه
Saffman-Taylor problem on a sphere.
The Saffman-Taylor problem addresses the morphological instability of an interface separating two immiscible, viscous fluids when they move in a narrow gap between two flat parallel plates (Hele-Shaw cell). In this work, we extend the classic Saffman-Taylor situation, by considering the flow between two curved, closely spaced, concentric spheres (spherical Hele-Shaw cell). We derive the mode-co...
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We show, both theoretically and experimentally, that the interface between two viscous fluids in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor linear instability point is reached. We identify the family of exact elastica solutions [Nye et al., Eur. J. Phys. 5, 73 (1984)]] as the unstable branch of the corresponding subcritical bifurcation which ends up at a topological ...
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We study the existence and structure of steady-state ngers in two-dimensional solidiication, when the surface energy has a crystalline anisotropy so that the energy-minimizing Wull shape and hence the solid-liquid interface are polygons, and in the one-sided quasi-static limit so that the diiusion eld satisses Laplace's equation in the liquid. In a channel of nite width, this problem is the cry...
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By CHRISTOPHE CHEVALIER, MARTINE BEN AMAR, DANIEL BONN AND ANKE LINDNER Laboratoire de Physique et Mécanique des Milieux Hétérogènes, UMR 7636 CNRS, Ecole Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75231 Paris cedex 05, France Laboratoire de Physique Statistique, UMR 8550 CNRS, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris cedex 05, France Ecole Nationale des P...
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An experiment on the Saffman-Taylor instability with wetting fluids is presented that explores a greater range of capillary numbers than did the original experiment of Saffman and Taylor. It turns out that no clear one-half plateau for the finger size is observed, and that the ensemble of experiments cannot be analysed in terms of a single control parameter. The effect of the film of oil left b...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 2007
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/hbm003