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Title: Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges
Author: Casademunt i Viader, Jaume
Keywords: Dinàmica de fluids
Fluid dynamics
Issue Date: 2004
Publisher: American Institute of Physics
Abstract: We review recent results on dynamical aspects of viscous fingering. The Saffman¿Taylor instability is studied beyond linear stability analysis by means of a weakly nonlinear analysis and the exact determination of the subcritical branch. A series of contributions pursuing the idea of a dynamical solvability scenario associated to surface tension in analogy with the traditional selection theory is put in perspective and discussed in the light of the asymptotic theory of Tanveer and co-workers. The inherently dynamical singular effects of surface tension are clarified. The dynamical role of viscosity contrast is explored numerically. We find that the basin of attraction of the Saffman¿Taylor finger depends on viscosity contrast, and that the sensitivity to this parameter is maximal in the usual limit of high viscosity contrast. The competing attractors are identified as closed bubble solutions. We briefly report on recent results and work in progress concerning rotating Hele-Shaw flows, topological singularities and wetting effects, and also discuss future directions in the context of viscous fingering
Note: Reproducció del document publicat a:
It is part of: Chaos, 2004, vol. 14, num. 3, p. 809-824
Related resource:
ISSN: 1054-1500
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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