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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Egile Nagusiak: Gustafsson, Björn, Vasil½ev, Aleksandr, 1962-2016 (Egilea), Vasil½ev, Alexander (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Saila:Advances in Mathematical Fluid Mechanics
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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
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245 1 0 |a Conformal and potential analysis in Hele-Shaw cell   |c Björn Gustafsson, Alexander Vasil ev. 
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504 |a Bibliogr. p. [205]-226. Index 
505 1 |a and Background Explicit Strong Solutions Weak Solutions and Balayage Geometric Properties Capacities and Isoperimetric Inequalities General Evolution Equations Hele-Shaw Evolution and Strings 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Fluides, Dynamique des 
650 |a Fonctions d'une variable complexe 
650 |a Invariants conformes 
650 |a Théorie du potentiel 
700 1 |a Vasil½ev, Aleksandr,  |d 1962-2016.  |4 aut 
700 1 |a Vasil½ev, Alexander.  |4 aut 
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