The equation of state of a foam

被引：28

作者：

Aref, H ^{[1
]}

Vainchtein, DL ^{[1
]}

机构：

[1] Univ Illinois, Dept Theoret & Appl Mech, Urbana, IL 61801 USA

来源：

PHYSICS OF FLUIDS | 2000年 / 12卷 / 01期

关键词：

D O I：

10.1063/1.870281

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The equation of state of a dry foam with ideal gas in the bubbles, proposed by Ross, is proved. This equation suggests that a foam with a free boundary will expand to a maximum volume if the external pressure is lowered at constant temperature. The same foam enclosed in a container, on the other hand, can be expanded further but, as the volume is increased, will eventually become unstable. We speculate that this instability leads to a "bubble differentiation" transition of the kind observed by Herdtle in numerical simulations of two-dimensional foam with ideal gas in the bubbles. In the simulations the foam separated into two "phases," one with a large number of small bubbles, another with a small number of very large bubbles. (C) 2000 American Institute of Physics. [S1070-6631(00)00701-7].

引用

页码：23 / 28

页数：6