Evolution and breakup of viscous rotating drops

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dc.contributor.author Fontelos, M. A.
dc.contributor.author García-Garrido, V. J.
dc.contributor.author Kindelán, U.
dc.contributor.other UAM. Departamento de Matemáticas es_ES
dc.date.accessioned 2016-02-05T11:49:27Z
dc.date.available 2016-02-05T11:49:27Z
dc.date.issued 2011
dc.identifier.citation SIAM Journal on Applied Mathematics 71.6 (2011): 1941–1964 en_US
dc.identifier.issn 0036-1399 es_ES
dc.identifier.uri http://hdl.handle.net/10486/669555
dc.description.abstract We study the evolution of a viscous fluid drop rotating about a fixed axis at constant angular velocity Ω or constant angular momentum L surrounded by another viscous fluid. The problem is considered in the limit of large Ekman number and small Reynolds number. The analysis is carried out by combining asymptotic analysis and full numerical simulation by means of the boundary element method. We pay special attention to the stability/instability of equilibrium shapes and the possible formation of singularities representing a change in the topology of the fluid domain. When the evolution is at constant Ω, depending on its value, drops can take the form of a flat film whose thickness goes to zero in finite time or an elongated filament that extends indefinitely. When evolution takes place at constant L and axial symmetry is imposed, thin films surrounded by a toroidal rim can develop, but the film thickness does not vanish in finite time. When axial symmetry is not imposed and L is sufficiently large, drops break axial symmetry and, depending on the value of L, reach an equilibrium configuration with a 2-fold symmetry or break up into several drops with a 2-or 3-fold symmetry. The mechanism of breakup is also described en_US
dc.description.sponsorship This research was supported by the project MTM2008-03255 from the Ministerio de Ciencia e Innovación of Spain en_US
dc.format.extent 23 pag. en
dc.format.mimetype application/pdf en
dc.language.iso eng en
dc.publisher Society for Industrial and Applied Mathematics en_US
dc.relation.ispartof SIAM Journal on Applied Mathematics en_US
dc.rights © 2011 Society for Industrial and Applied Mathematics en_US
dc.subject.other Boundary element method en_US
dc.subject.other Drop breakup en_US
dc.subject.other Rotating drops at low reynolds number en_US
dc.subject.other Self-similarity and singularities en_US
dc.title Evolution and breakup of viscous rotating drops en_US
dc.type article en
dc.subject.eciencia Matemáticas es_ES
dc.relation.publisherversion http://dx.doi.org/10.1137/100817668 es_ES
dc.identifier.doi 10.1137/100817668 es_ES
dc.identifier.publicationfirstpage 1941 es_ES
dc.identifier.publicationissue 6 es_ES
dc.identifier.publicationlastpage 1964 es_ES
dc.identifier.publicationvolume 71 es_ES
dc.relation.projectID Gobierno de España. MTM2008-03255 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion en
dc.rights.accessRights openAccess en
dc.authorUAM Fontelos López, Marco Antonio (261047)

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