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 XavierCasademunt i Viader, Jaume Keywords: Dinàmica de fluidsFluid 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 SizeFormat