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dc.contributorVirginia Tech
dc.contributor.authorAfkhami, S.
dc.contributor.authorRenardy, Y.
dc.date.accessioned2013-12-04T14:59:20Z
dc.date.available2013-12-04T14:59:20Z
dc.date.issued2013-08
dc.identifier.citationShahriar Afkhami and Yuriko Renardy., “A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations,” Phys. Fluids (1994-present), 25, 082001 (2013); DOI:http//dx.doi.org/10.1063/1.4817374en_US
dc.identifier.issn1070-6631
dc.identifier.urihttp://hdl.handle.net/10919/24386
dc.description.abstractWe present a computational framework to address the flow of two immiscible viscous liquids which co-flow into a shallow rectangular container at one side, and flow out into a holding container at the opposite side. Assumptions based on the shallow depth of the domain are used to reduce the governing equations to one of Hele-Shaw type. The distinctive feature of the numerical method is the accurate modeling of the capillary effects. A continuum approach coupled with a volume-of-fluid formulation for computing the interface motion and for modeling the interfacial tension in Hele-Shaw flows is formulated and implemented. The interface is reconstructed with a height-function algorithm. The combination of these algorithms is a novel development for the investigation of Hele-Shaw flows. The order of accuracy and convergence properties of the method are discussed with benchmark simulations. A microfluidic flow of a ribbon of fluid which co-flows with a second liquid is simulated. We show that for small capillary numbers of O(0.01), there is an abrupt change in interface curvature and focusing occurs close to the exit.en_US
dc.description.sponsorshipNSF-DMS 0907788
dc.description.sponsorshipNSF-DMS-1311707
dc.language.isoen_US
dc.publisherAmerican Institute of Physics
dc.subjectSurface-tension
dc.subjectStability
dc.subjectSimulations
dc.subjectGenerations
dc.subjectEmulsions
dc.subjectTracking
dc.titleA volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations
dc.typeArticle
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/25/8/10.1063/1.4817374
dc.date.accessed2013-11-20
dc.title.serialPhysics of Fluids
dc.identifier.doihttps://doi.org/10.1063/1.4817374


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