Instabilities in two-dimensional flower and chain clusters of bubbles

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dc.contributor.author Fortes, M. A.
dc.contributor.author Vaz, M. Fatima
dc.contributor.author Cox, Simon
dc.contributor.author Teixeira, Paulo
dc.date.accessioned 2007-03-01T13:26:11Z
dc.date.available 2007-03-01T13:26:11Z
dc.date.issued 2007-11
dc.identifier.citation Fortes , M A , Vaz , M F , Cox , S & Teixeira , P 2007 , ' Instabilities in two-dimensional flower and chain clusters of bubbles ' Colloids and Surfaces A: Physicochemical and Engineering Aspects , vol 309 , no. 1-3 , pp. 64-70 . en
dc.identifier.issn 0927-7757
dc.identifier.other PURE: 71864
dc.identifier.other dspace: 2160/301
dc.identifier.uri http://hdl.handle.net/2160/301
dc.description M.A. Fortes et al., Instabilities in two-dimensional flower and chain clusters of bubbles, Colloids and Surfaces A: Physicochemical and Engineering Aspects Volume 309, Issues 1-3, 1 November 2007, Pages 64-70 A Collection of Papers Presented at the 6th Eufoam Conference, Potsdam, Germany, 2-6 July, 2006 en
dc.description.abstract We assess the stability of simple two-dimensional clusters of bubbles relative to small displacements of the vertices, at fixed bubble areas. The clusters analysed are: 1) flower clusters consisting of a central bubble of area l surrounded by N shells each containing n bubbles of unit area, 2) periodic chain clusters consisting of N 'parallel' rows of n bubbles of unit area and width w. The energy and bubble pressures of the symmetrical, unbuckled clusters are found analytically as a function of l and w for given N and n. Both types of clusters studied show a single energy minimum at a critical lm or wm. At the energy minimum for flower clusters, the pressure in the central bubble vanishes. The clusters show a symmetry-breaking buckling instability under compression at a critical lb or wb. The corresponding critical energy Eb was determined with the Surface Evolver software. While for N=1 the conditions lb = lm, wb = wm and Eb = Em hold, for N>1 buckling requires further compression beyond the minimum, for which the energy increases with increasing compression (decreasing l or w), and the excess pressure in the central bubble of the flower clusters becomes negative. en
dc.format.extent 7 en
dc.language.iso eng
dc.relation.ispartof Colloids and Surfaces A: Physicochemical and Engineering Aspects en
dc.title Instabilities in two-dimensional flower and chain clusters of bubbles en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1016/j.colsurfa.2007.02.039
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.description.status Peer reviewed en


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