Ageing of two-dimensional clusters of bubbles

被引:0
|
作者
Fortes, MA [1 ]
Rosa, ME [1 ]
Afonso, L [1 ]
机构
[1] Univ Tecn Lisboa, Dept Mat Engn, Inst Super Tecn, Lisbon, Portugal
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中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We derive equations for the rate dA/dt of change in the area of various types of two-dimensional (2D) soap bubble cluster, including clusters in contact with solid walls. These equations are a generalization of von Neumann's equation dA/dt = k(n - 6) for single bubbles with n neighbours. While free clusters shrink, clusters in contact with walls may grow. We give experimental results of 2D cluster ageing which are well described by the equations and provide a fairly accurate measurement of the kinetic constant k.
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页码:527 / 539
页数:13
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