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dc.contributor.author
Mahady, K.
dc.contributor.author
Afkhami, S.
dc.contributor.author
Diez, Javier Alberto
dc.contributor.author
Kondic, L.
dc.date.available
2016-03-02T17:52:38Z
dc.date.issued
2013-11-07
dc.identifier.citation
Mahady, K.; Afkhami, S.; Diez, Javier Alberto; Kondic, L.; Comparison of Navier-Stokes simulations with long-wave theory: Study of wetting and dewetting; American Institute of Physics; Physics of Fluids; 25; 07-11-2013; 112103-112103
dc.identifier.issn
1070-6631
dc.identifier.uri
http://hdl.handle.net/11336/4581
dc.description.abstract
The classical long-wave theory (also known as lubrication approximation) applied to fluid spreading or retracting on a solid substrate is derived under a set of assumptions, typically including small slopes and negligible inertial effects. In this work, we compare the results obtained by using the long-wave model and by simulating directly the full two-phase Navier-Stokes equations employing a volume-of-fluid method. In order to isolate the influence of the small slope assumption inherent in the long-wave theory, we present a quantitative comparison between the two methods in the regime where inertial effects and the influence of gas phase are negligible. The flow geometries that we consider include wetting and dewetting drops within a broad range of equilibrium contact angles in planar and axisymmetric geometries, as well as liquid rings. For perfectly wetting spreading drops we find good quantitative agreement between the models, with both of them following rather closely Tanner's law. For partially wetting drops, while in general we find good agreement between the two models for small equilibrium contact angles, we also uncover differences which are particularly evident in the initial stages of evolution, for retracting drops, and when additional azimuthal curvature is considered. The contracting rings are also found to evolve differently for the two models, with the main difference being that the evolution occurs on the faster time scale when the long-wave model is considered, although the ring shapes are very similar between the two models.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Wettting
dc.subject
Dewetting
dc.subject
Long-Wave Approximation
dc.subject
Navier-Stokes
dc.subject.classification
Física de los Fluidos y Plasma
dc.subject.classification
Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Comparison of Navier-Stokes simulations with long-wave theory: Study of wetting and dewetting
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-03-30 10:35:44.97925-03
dc.journal.volume
25
dc.journal.pagination
112103-112103
dc.journal.pais
Estados Unidos
dc.journal.ciudad
New York
dc.conicet.avisoEditorial
The right to: Post the Version of Record (VOR) to their personal web page or their employer’s web page 12 months after publication by AIP Publishing
dc.description.fil
Fil: Mahady, K.. New Jersey Institute of Technology. Department of Mathematical Sciences; Estados Unidos
dc.description.fil
Fil: Afkhami, S.. New Jersey Institute of Technology. Department of Mathematical Sciences; Estados Unidos
dc.description.fil
Fil: Diez, Javier Alberto. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Fisica Arroyo Seco; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Tandil; Argentina
dc.description.fil
Fil: Kondic, L.. New Jersey Institute of Technology. Department of Mathematical Sciences; Estados Unidos
dc.journal.title
Physics of Fluids
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.4828721
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://scitation.aip.org/content/aip/journal/pof2/25/11/10.1063/1.4828721
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/issn/1070-6631
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