Spontaneous penetration of a non-wetting drop into an exposed pore

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dc.contributor.authorYue, Pengtaoen
dc.contributor.authorRenardy, Yuriko Y.en
dc.contributor.departmentMathematicsen
dc.date.accessed2013-11-20en
dc.date.accessioned2013-12-04T15:20:25Zen
dc.date.available2013-12-04T15:20:25Zen
dc.date.issued2013-05en
dc.description.abstractWe consider the penetration process of a liquid drop approaching an exposed pore along the axis of symmetry, which is intended to model the penetration of non-wetting drops into a porous medium. Inertia and gravity are neglected at the current stage. In addition to the penetration into a capillary tube in the literature, the drop may spread on the outer surface of the porous medium. Based on the mechanical equilibrium states, we find the critical drop radius, below which the drop penetration is spontaneous. We further identify five penetration regimes based on the drop radius and the static contact angle, all of which are exemplified by phase-field simulations. The free energy as a function of penetration depth reveals only two stable equilibrium states: the drop either enters the pore completely (maximum penetration) or stays at the pore inlet (zero penetration). For a non-penetrating drop radius, the free energy has a local maximum which constitutes an energy barrier that prevents spontaneous penetration. Finally, we modify the Lucas-Washburn equation to describe the dynamic process of penetration. Due to the neglect of dissipation from moving contact lines and entry flow, the modified Lucas-Washburn equation greatly overestimates the penetration rate, especially at the initial stage.en
dc.description.sponsorshipNSF-DMS 0907788en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationYue, Pengtao and Renardy, Yuriko, “Spontaneous penetration of a non-wetting drop into an exposed pore,” Phys. Fluids (1994-present), 25, 052104 (2013), DOI:http://dx.doi.org/10.1063/1.4804957en
dc.identifier.doihttps://doi.org/10.1063/1.4804957en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/24416en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/25/5/10.1063/1.4804957en
dc.language.isoenen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhase-Field simulationsen
dc.subjectMoving contact linesen
dc.subjectViscoelastic fluidsSen
dc.subjectCapillaryen
dc.subject|interfaceen
dc.subjectdynamicsen
dc.subjectImbibitionen
dc.subjectliquidsen
dc.subjectflowen
dc.subjectabsorptionen
dc.titleSpontaneous penetration of a non-wetting drop into an exposed poreen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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