Show simple item record M. A. en_US M. Fatima en_US Simon en_US Paulo en_US 2007-03-01T13:26:11Z 2007-03-01T13:26:11Z 2007-11 en_US
dc.identifier en_US
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 . , 10.1016/j.colsurfa.2007.02.039 en_US
dc.identifier.other PURE: 71864 en_US
dc.identifier.other dspace: 2160/301 en_US
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_US
dc.format.extent 7 en_US
dc.relation.ispartof Colloids and Surfaces A: Physicochemical and Engineering Aspects en_US
dc.title Instabilities in two-dimensional flower and chain clusters of bubbles en_US
dc.contributor.pbl Institute of Mathematics & Physics (ADT) en_US
dc.contributor.pbl Mathematical Modelling of Structures, Solids and Fluids en_US

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