Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/18744
Title: Two-finger selection theory in the Saffman-Taylor problem
Author: Magdaleno Escar, Francesc Xavier
Casademunt i Viader, Jaume
Keywords: Dinàmica de fluids
Fluid dynamics
Issue Date: 1999
Publisher: The American Physical Society
Abstract: We find that solvability theory selects a set of stationary solutions of the Saffman-Taylor problem with coexistence of two unequal fingers advancing with the same velocity but with different relative widths ${\ensuremath{\lambda}}_{1}$ and ${\ensuremath{\lambda}}_{2}$ and different tip positions. For vanishingly small dimensionless surface tension ${d}_{0},$ an infinite discrete set of values of the total filling fraction $\ensuremath{\lambda}={\ensuremath{\lambda}}_{1}+{\ensuremath{\lambda}}_{2}$ and of the relative individual finger width $p={\ensuremath{\lambda}}_{1}/\ensuremath{\lambda}$ are selected out of a two-parameter continuous degeneracy. They scale as $\ensuremath{\lambda}\ensuremath{-}1/2\ensuremath{\sim}{d}_{0}^{2/3}$ and $|p\ensuremath{-}1/2|\ensuremath{\sim}{d}_{0}^{1/3}.$ The selected values of $\ensuremath{\lambda}$ differ from those of the single finger case. Explicit approximate expressions for both spectra are given.
Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.60.R5013
It is part of: Physical Review E, 1999, vol. 60, p. R5013-R5016
Related resource: http://dx.doi.org/10.1103/PhysRevE.60.R5013
URI: http://hdl.handle.net/2445/18744
ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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