Equilibrium configurations of two-dimensional bubbles in a channel: N-bubble case

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datacite.alternateIdentifier.citationProceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences, 480 (2300), 2024
datacite.alternateIdentifier.doi10.1098/rspa.2024.0151
datacite.alternateIdentifier.issn1364-5021
datacite.creatorTorres-Ulloa, Carlos Alejandro
datacite.creatorPaul Grassia, Paul S.
datacite.creatorHernández-Montelongo, Jacobo
datacite.date2024
datacite.rightsAcceso abierto
datacite.subjectDimensional Bubbles
datacite.subjectEnergy Minimization
datacite.subjectEquilibrium Foams
datacite.subjectMathematical Modelling
datacite.subjectStaircase Structure
datacite.subjectTwo-
datacite.subjectDimensional Bubble
datacite.subjectEnergy Minimization
datacite.subjectEquilibrium Configuration
datacite.subjectEquilibrium Foam
datacite.subjectLiquid Foam
datacite.subjectMathematical Modeling
datacite.subjectStaircase Structure
datacite.subjectStraight Channel
datacite.subjectTwo-
datacite.subjectTwo-dimensional
datacite.subjectStairs
datacite.titleEquilibrium configurations of two-dimensional bubbles in a channel: N-bubble case
dc.contributor.authorTORRES ULLOA, CARLOS ALEJANDRO
dc.contributor.authorHERNANDEZ MONTELONGO, JESUS JACOBO
dc.date.accessioned2025-10-06T14:22:04Z
dc.date.available2025-10-06T14:22:04Z
dc.description.abstractTwo-dimensional liquid foam systems comprised of an odd number N of bubbles arranged in a staircase configuration are studied as they are packed within a confined straight channel. Energy minimization is employed to characterize the permitted topology and geometry of the system at equilibrium. It is known that in an infinite staircase, bubble films are flat. The configuration for a finite number of bubbles, however, deviates from that of an infinite staircase at the edges. It is known that films near the edges are not flat and structures with a few bubbles (up to N = 3) are well characterized. To study what happens as more bubbles are added, and how the behaviour approaches that of an infinite staircase, structures comprised of N = [5, 7, ] bubbles are studied here. For these N values, minimum and maximum bubble areas are found that can pack in a staircase configuration within a straight channel. However, for an infinite staircase and also for N = 3, there are maximum areas, but no minima. Staircases with very short films, which make the structure susceptible to break in various ways, are also identified. © 2024 Elsevier B.V., All rights reserved.
dc.description.ia_keywordbubbles, staircase, infinite, configuration, channel, bubble, films
dc.formatPDF
dc.identifier.issn1471-2946
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/6930
dc.language.isoen
dc.publisherRoyal Society
dc.relationinstname: ANID
dc.relationreponame: Repositorio Digital RI2.0
dc.rights.driverinfo:eu-repo/semantics/openAccess
dc.sourceProceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
dc.subject.ia_odsODS 7: Energía asequible y no contaminante
dc.subject.ia_oecd1nCiencias Naturales
dc.subject.ia_oecd2nMatemáticas y Estadística
dc.subject.ia_oecd3nMatemáticas
dc.type.driverinfo:eu-repo/semantics/article
dc.type.driverhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.type.openaireinfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
oaire.citationEdition2024
oaire.citationIssue2300
oaire.citationTitleProceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
oaire.citationVolume480
oaire.fundingReferenceANID FONDECYT POSTDOCTORADO 3240010
oaire.fundingReferenceCIIC-UCT
oaire.licenseConditionObra bajo licencia Creative Commons Atribución 4.0 Internacional
oaire.licenseCondition.urihttps://creativecommons.org/licenses/by/4.0/
oaire.resourceTypeArtículo
oaire.resourceType.enArticle
relation.isAuthorOfPublication75213390-da06-46d4-9402-1e44399a8d3d
relation.isAuthorOfPublicationd1ebb975-fdac-4b8f-9131-a735b8c04d80
relation.isAuthorOfPublication.latestForDiscovery75213390-da06-46d4-9402-1e44399a8d3d
uct.catalogadorjvu
uct.comunidadIngenieríaen_US
uct.departamentoDepartamento de Ciencias Matemáticas y Físicas
uct.facultadFacultad de Ingeniería
uct.indizacionScience Citation Index Expanded - SCIE
uct.indizacionScopus
uct.indizacionPubMed Central (PMC)
uct.indizacionMathSciNet
uct.indizacionzbMATH
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