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arXiv 1207.0146cond-mat.soft
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含液量增加的准二维泡沫的气泡统计和粗化动力学

Bubble statistics and coarsening dynamics for quasi-two dimensional foams with increasing liquid content

A. E. Roth, C. D. Jones, D. J. Durian

摘要:

我们报告的统计气泡的大小,拓扑结构和形状,并在两个平行板之间压缩的气泡组成的泡沫的粗化动力学的作用。样品池的设计允许通过由泡沫在液体储存器上方的高度设定的恒定压力条件来控制液体含量。我们发现,在标度状态下,所有的气泡分布不仅与时间无关,而且与液体含量无关。对于粗化,平均速率随着液体含量的增加而减小,这是由于充满液体的高原边界阻挡了气体的扩散。通过观察单个气泡的生长速率,我们发现随着湿度的增加和气泡尺寸的减小,冯·诺依曼定律逐渐被违反。我们成功地将边界阻塞效应明确纳入冯诺依曼参数模型的这种行为。两个无量纲的气泡形状参数自然出现,其中之一是主要负责违反冯诺依曼定律的泡沫是不完全干燥。

英文摘要:

We report on the statistics of bubble size, topology, and shape and on their role in the coarsening dynamics for foams consisting of bubbles compressed between two parallel plates. The design of the sample cell permits control of the liquid content, through a constant pressure condition set by the height of the foam above a liquid reservoir. We find that in the scaling state, all bubble distributions are independent not only of time but also of liquid content. For coarsening, the average rate decreases with liquid content due to the blocking of gas diffusion by Plateau borders inflated with liquid. By observing the growth rate of individual bubbles, we find that von Neumann's law becomes progressively violated with increasing wetness and with decreasing bubble size. We successfully model this behavior by explicitly incorporating the border blocking effect into the von Neumann argument. Two dimensionless bubble shape parameters naturally arise, one of which is primarily responsible for the violation of von Neumann's law for foams that are not perfectly dry.

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