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http://hdl.handle.net/2445/18744
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DC Field | Value | Language |
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dc.contributor.author | Magdaleno Escar, Francesc Xavier | cat |
dc.contributor.author | Casademunt i Viader, Jaume | cat |
dc.date.accessioned | 2011-07-07T12:51:47Z | - |
dc.date.available | 2011-07-07T12:51:47Z | - |
dc.date.issued | 1999 | - |
dc.identifier.issn | 1063-651X | - |
dc.identifier.uri | http://hdl.handle.net/2445/18744 | - |
dc.description.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. | - |
dc.format.extent | 4 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | eng |
dc.publisher | The American Physical Society | eng |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.60.R5013 | cat |
dc.relation.ispartof | Physical Review E, 1999, vol. 60, p. R5013-R5016 | - |
dc.relation.uri | http://dx.doi.org/10.1103/PhysRevE.60.R5013 | - |
dc.rights | (c) The American Physical Society, 1999 | - |
dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | - |
dc.subject.classification | Dinàmica de fluids | cat |
dc.subject.other | Fluid dynamics | eng |
dc.title | Two-finger selection theory in the Saffman-Taylor problem | eng |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 147705 | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
Files in This Item:
File | Description | Size | Format | |
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147705.pdf | 63.95 kB | Adobe PDF | View/Open |
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