We present high-precision data for the time evolution of bubble area $A\left(t\right)$ and circularity shape parameter $C\left(t\right)$ for several bubbles in a quasi-two-dimensional foams consisting of bubbles squashed between parallel plates. In order to fully compare with earlier predictions, foam wetness is systematically varied by controlling the height of the sample above a liquid reservoir which in turn controls the radius $r$ of the inflation of the Plateau borders. For very dry foams, where the borders are very small, classic von Neumann behavior is observed where a bubble's growth rate depends only on its number $n$ of sides. For wet foams, the inflated borders impede gas exchange and cause deviations from von Neumann's law that are found to be in accord with the generalized coarsening equation. In particular, the overall growth rate varies linearly with the film height, which decrease as surface Plateau borders inflate. More interestingly, the deviation from $dA/dt\propto (n-6)$ von Neumann behavior grows in proportion to $nCr/\sqrt{A}$. This is highlighted definitively by data for six-sided bubbles, which are forbidden to grow or shrink except for the existence of this term. It is tested quantitatively by variation of all four relevant quantities: $n$, $C$, $r$, and $A$.

中文翻译：

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对准二维湿泡沫中单个气泡的广义粗化模型进行实验测试

我们提供了气泡区域时间演变的高精度数据 $\mathrm{一种}（Ť）$ 和圆度形状参数 $C（Ť）$准二维泡沫中的几个气泡，这些气泡由挤在平行板之间的气泡组成。为了与早期的预测进行完全比较，通过控制储液罐上方样品的高度来系统地改变泡沫的湿度，从而控制半径$\mathrm{[R}$高原边界的通货膨胀。对于边界非常小的干燥泡沫，可以观察到经典的冯·诺依曼行为，其中气泡的增长率仅取决于其数量$ñ$双方。对于湿泡沫，膨胀的边界会阻碍气体交换并导致偏离冯·诺伊曼定律，该定律与广义粗化方程式相符。特别是，总生长速率随薄膜高度线性变化，随着平台高原边界膨胀而降低。更有趣的是，$d\mathrm{一种}/dŤ\propto （ñ-6）$ 冯·诺依曼的行为与 $ñC\mathrm{[R}/\sqrt{\mathrm{一种}}$。六边形气泡的数据明确地突出了这一点，除非存在该术语，否则禁止增大或缩小这些气泡。通过所有四个相关量的变化进行定量测试：$ñ$， $C$， $\mathrm{[R}$和 $\mathrm{一种}$。