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The shape of two-dimensional liquid bridges

2020-01-16Journal article Open access
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dc.contributor.authorTeixeira, Paulo
dc.contributor.authorTeixeira, Miguel
dc.date.accessioned2020-02-11T12:14:42Z
dc.date.available2020-02-11T12:14:42Z
dc.date.issued2020-01-16
dc.description.abstractWe have studied a single vertical, two-dimensional liquid bridge spanning the gap between two flat, horizontal solid substrates of given wettabilities. For this simple geometry, the Young–Laplace equation can be solved (quasi-)analytically to yield the equilibrium bridge shape under gravity. We establish the range of gap widths (as described by a Bond number Bo) for which the liquid bridge can exist, for given contact angles at the top and bottom substrates (θt c and θb c, respectively). In particular, we find that the absolute maximum span of a liquid bridge is four capillary lengths, for θb c = 180◦ and θt c = 0◦; whereas for θb c = 0◦ and θt c = 180◦ no bridge can form, for any substrate separation. We also obtain the minimum value of the cross-sectional area of such a liquid bridge, as well as the conditions for the existence and positions of any necks or bulges and inflection points on its surface. This generalises our earlier work in which the gap was assumed to be spanned by a liquid film of zero thickness connecting two menisci at the bottom and top substrates.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationTEIXEIRA, Paulo I. C.; TEIXEIRA, Miguel A. C. – The shape of two-dimensional liquid bridges. Journal of Physics: Condensed Matter. ISSN 1361-648X. Vol. 32, N.º 3 (2019), pp. 1-13pt_PT
dc.identifier.doihttps://doi.org/10.1088/1361-648X/ab48b7pt_PT
dc.identifier.issn1361-648X
dc.identifier.issn0953-8984
dc.identifier.urihttp://hdl.handle.net/10400.21/11087
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherIOP Publishingpt_PT
dc.relationUID/ FIS/00618/2019 - FCTpt_PT
dc.relation.publisherversionhttps://iopscience.iop.org/article/10.1088/1361-648X/ab48b7/pdfpt_PT
dc.subjectCapillary bridgespt_PT
dc.subjectYoung–Laplace equationpt_PT
dc.subjectSurface tensionpt_PT
dc.subjectTheory and modellingpt_PT
dc.subjectFoams and emulsionspt_PT
dc.subjectSoap filmspt_PT
dc.titleThe shape of two-dimensional liquid bridgespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage13pt_PT
oaire.citation.issue3pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleJournal of Physics: Condensed Matterpt_PT
oaire.citation.volume32pt_PT
person.familyNameTeixeira
person.familyNameTeixeira
person.givenNamePaulo
person.givenNameMiguel
person.identifier.ciencia-idB31A-0CBD-8AC4
person.identifier.ciencia-id6019-5D97-7CFA
person.identifier.orcid0000-0003-2315-2261
person.identifier.orcid0000-0003-1205-3233
person.identifier.ridA-2682-2009
person.identifier.ridB-7002-2008
person.identifier.scopus-author-id7005895098
person.identifier.scopus-author-id9037147000
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication35a012c6-2e8b-402f-9b82-065843fce9aa
relation.isAuthorOfPublication383bd685-78ff-4e62-9498-27bd7438789a
relation.isAuthorOfPublication.latestForDiscovery35a012c6-2e8b-402f-9b82-065843fce9aa

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