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 |
URI: | http://hdl.handle.net/2445/18744 |
Related resource: | http://dx.doi.org/10.1103/PhysRevE.60.R5013 |
ISSN: | 1063-651X |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
147705.pdf | 63.95 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.