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dc.contributor.author
Gonzalez, Alejandro Guillermo
dc.contributor.author
Diez, Javier Alberto
dc.contributor.author
Sellier, Mathieu
dc.date.available
2018-09-03T21:11:48Z
dc.date.issued
2015-12
dc.identifier.citation
Gonzalez, Alejandro Guillermo; Diez, Javier Alberto; Sellier, Mathieu; Inertial and dimensional effects on the instability of a thin film; Cambridge University Press; Journal of Fluid Mechanics; 787; 12-2015; 449-473
dc.identifier.issn
0022-1120
dc.identifier.uri
http://hdl.handle.net/11336/58159
dc.description.abstract
We consider here the effects of inertia on the instability of a flat liquid film under the effects of capillary and intermolecular forces (van der Waals interaction). Firstly, we perform a linear stability analysis within the long-wave approximation, which shows that the inclusion of inertia does not produce new regions of instability other than the one previously known from the usual lubrication case. The wavelength, , corresponding to the maximum growth, and the critical (marginal) wavelength do not change. The most affected feature of the instability under an increase of the Laplace number is the noticeable decrease of the growth rates of the unstable modes. In order to put in evidence the effects of the bidimensional aspects of the flow (neglected in the long-wave approximation), we also calculate the dispersion relation of the instability from the linearized version of the complete Navier-Stokes (N-S) equations. Unlike the long-wave approximation, the bidimensional modelA showsA that can vary significantly with inertia when the aspect ratio of the film is not sufficiently small. We also perform numerical simulations of the nonlinear N-S equations and analyse to which extent the linear predictions can be applied depending on both the amount of inertia involved and the aspect ratio of the film.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Cambridge University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Interfacial Flows (Free Surface)
dc.subject
Lubrication Theory
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Micro-/Nano-Fluid Dynamics
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Otras Ciencias Físicas
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Inertial and dimensional effects on the instability of a thin film
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-03T20:00:15Z
dc.journal.volume
787
dc.journal.pagination
449-473
dc.journal.pais
Reino Unido
dc.journal.ciudad
Cambridge
dc.description.fil
Fil: Gonzalez, Alejandro Guillermo. Universidad Nacional del Centro de la Provincia de Buenos Aires. Centro de Investigaciones en Física e Ingeniería del Centro de la Provincia de Buenos Aires. - Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil. Centro de Investigaciones en Física e Ingeniería del Centro de la Provincia de Buenos Aires. - Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Centro de Investigaciones en Física e Ingeniería del Centro de la Provincia de Buenos Aires; Argentina
dc.description.fil
Fil: Diez, Javier Alberto. Universidad Nacional del Centro de la Provincia de Buenos Aires. Centro de Investigaciones en Física e Ingeniería del Centro de la Provincia de Buenos Aires. - Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil. Centro de Investigaciones en Física e Ingeniería del Centro de la Provincia de Buenos Aires. - Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Centro de Investigaciones en Física e Ingeniería del Centro de la Provincia de Buenos Aires; Argentina
dc.description.fil
Fil: Sellier, Mathieu. University Of Canterbury; Nueva Zelanda
dc.journal.title
Journal of Fluid Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/jfm.2015.694
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/inertial-and-dimensional-effects-on-the-instability-of-a-thin-film/3E9A70FBBDCAD2E1FBF958197EE46258
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