2003/03/24 by M. Mancini, C. Oguey, Ch. Oguey · 4 citations
Engineering · Materials Science · Physics and Astronomy · #Continuous flow #Equivalence (formal languages) #Flow (mathematics) #Heat and Mass Transfer in Porous Media #Pickering emulsions and particle stabilization #Polymer Foaming and Composites #Potential flow #Soap bubble #Soap film #cond-mat.dis-nn #cond-mat.soft
paper · pdf · doi:10.1080/09500830310001594291
published in Philosophical Magazine Letters 83(10), 643-649 (Taylor & Francis) · 7 pages, 4 figures (6 eps files)
arxiv created 2003/03/24 · openalex publication_date 2003/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In two-dimensional foams at equilibrium, triangular bubbles can be freely exchanged with threefold stars, three edges ending at a central vertex. This theorem is deduced here from Moukarzel's duality. Moreover, to probe the method, a few related properties are established: under slow gas diffusion, cell extinction is a continuous process for triangles but not for other types of bubble. In general, the gas flow results in different configurations in the presence of a triangle from those in the presence of a star.