Conformal and potential analysis in Hele-Shaw cell
One of the most in?uential works in Fluid Dynamics at the edge of the 19-th century was a short paper [166] written by Henry Selby Hele-Shaw (1854 1941). ThereHele-Shaw?rstdescribedhisfamouscellthatonlybecameasubjectofdeep investigationmorethan50yearslater.AHele-Shawcellisadeviceforinvestigating two...
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| Hauptverfasser: | , , |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Advances in Mathematical Fluid Mechanics
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| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 15 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Conformal and potential analysis in Hele-Shaw cells, Björn Gustafsson, Alexander Vasil½ev, Basel, Birkhäuser, 2006, 1 vol. (X-231 p.), Advances in mathematical fluid mechanics, 3-7643-7703-8 |
| Zusammenfassung: | One of the most in?uential works in Fluid Dynamics at the edge of the 19-th century was a short paper [166] written by Henry Selby Hele-Shaw (1854 1941). ThereHele-Shaw?rstdescribedhisfamouscellthatonlybecameasubjectofdeep investigationmorethan50yearslater.AHele-Shawcellisadeviceforinvestigating two-dimensional?owofaviscous?uidinanarrowgapbetweentwoparallelplates. This cell is the simplest system in which multi-dimensional convection is present. Probably the most important characteristic of ?ows in such a cell is that when the Reynolds number based on gap width is su?ciently small, the Navier-Stokes equations averaged over the gap reduce to a linear relation similar to Darcy s law and then to a Laplace equation for pressure. Di?erent driving mechanisms can be considered, such as surface tension or external forces (suction, injection). Throughthesimilarityinthegoverningequations,Hele-Shaw?owsareparticularly useful for visualizationof saturated ?ows in porous media, assuming they are slow enough to be governed by Darcy s law. Nowadays, the Hele-Shaw cell is used as a powerful tool in several ?elds of natural sciences and engineering, in particular, matter physics, material science, crystal growth and, of course, ?uid mechanics |
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| Beschreibung: | Description d'après consultation du 15 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. p. [205]-226. Index |
| ISBN: | 9783764377045 |
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