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Effect of the number of shells on the pressure and energy of two-dimensional free bubble clusters

2009-07-20Journal article Open access
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dc.contributor.authorVaz, M. Fatima
dc.contributor.authorTeixeira, Paulo
dc.contributor.authorGraner, F.
dc.contributor.authorCox, S. J.
dc.date.accessioned2012-09-11T11:25:29Z
dc.date.available2012-09-11T11:25:29Z
dc.date.issued2009-07-20
dc.description.abstractWe have performed Surface Evolver simulations of two-dimensional hexagonal bubble clusters consisting of a central bubble of area lambda surrounded by s shells or layers of bubbles of unit area. Clusters of up to twenty layers have been simulated, with lambda varying between 0.01 and 100. In monodisperse clusters (i.e., for lambda = 1) [M.A. Fortes, F Morgan, M. Fatima Vaz, Philos. Mag. Lett. 87 (2007) 561] both the average pressure of the entire Cluster and the pressure in the central bubble are decreasing functions of s and approach 0.9306 for very large s, which is the pressure in a bubble of an infinite monodisperse honeycomb foam. Here we address the effect of changing the central bubble area lambda. For small lambda the pressure in the central bubble and the average pressure were both found to decrease with s, as in monodisperse clusters. However, for large,, the pressure in the central bubble and the average pressure increase with s. The average pressure of large clusters was found to be independent of lambda and to approach 0.9306 asymptotically. We have also determined the cluster surface energies given by the equation of equilibrium for the total energy in terms of the area and the pressure in each bubble. When the pressures in the bubbles are not available, an approximate equation derived by Vaz et al. [M. Fatima Vaz, M.A. Fortes, F. Graner, Philos. Mag. Lett. 82 (2002) 575] was shown to provide good estimations for the cluster energy provided the bubble area distribution is narrow. This approach does not take cluster topology into account. Using this approximate equation, we find a good correlation between Surface Evolver Simulations and the estimated Values of energies and pressures. (C) 2008 Elsevier B.V. All rights reserved.por
dc.identifier.citationVaz M Fatima, Teixeira P I C, Graner F, Cox S J. Effect of the number of shells on the pressure and energy of two-dimensional free bubble clusters. Colloids and Surfaces A-Physicochemical and Engineering Aspects. 2009: 344 (1-3), 33-36.por
dc.identifier.issn0927-7757
dc.identifier.urihttp://hdl.handle.net/10400.21/1766
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevier Science BVpor
dc.subjectClusterspor
dc.subjectSurface Evolverpor
dc.subjectBubblespor
dc.subjectFoamspor
dc.titleEffect of the number of shells on the pressure and energy of two-dimensional free bubble clusterspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceAmsterdampor
oaire.citation.endPage36por
oaire.citation.issue1-3por
oaire.citation.startPage33por
oaire.citation.titleColloids and Surfaces A-Physicochemical and Engineering Aspectspor
oaire.citation.volume344por
person.familyNameTeixeira
person.givenNamePaulo
person.identifier.ciencia-idB31A-0CBD-8AC4
person.identifier.orcid0000-0003-2315-2261
person.identifier.ridA-2682-2009
person.identifier.scopus-author-id7005895098
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication35a012c6-2e8b-402f-9b82-065843fce9aa
relation.isAuthorOfPublication.latestForDiscovery35a012c6-2e8b-402f-9b82-065843fce9aa

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