AI 中文总结
本研究通过求解杨-拉普拉斯方程，预测了附着气泡的最大稳定体积，识别了三种脱离模式，并与多种实验数据吻合，同时扩展了理论并适用于悬垂液滴。
AI 中文摘要
我们确定了附着在平面上的气泡的最大稳定体积，该体积是接触半径、接触角和毛细长度的函数。通过使用打靶法求解杨-拉普拉斯方程，我们计算了平衡气泡形状，并确定了气泡通过三种不同模式脱离的条件：在空腔处缩颈、侧向不稳定性，以及在周围表面上扩展后缩颈。我们预测的脱离体积与电解气泡、沸腾气泡和碳酸气泡以及悬垂液滴的实验测量结果吻合良好。这些结果汇集并扩展了先前的分析估计，并且由于对称性，也直接适用于悬垂液滴。
英文摘要
We determine the maximum stable volume of bubbles attached to flat surfaces as a function of contact radius, contact angle, and capillary length. By solving the Young-Laplace equation using a shooting method, we calculate equilibrium bubble shapes and determine when bubbles detach through three distinct modes: necking at the cavity, sideways instability, and spreading followed by necking on the surrounding surface. Our predicted detachment volumes agree well with experimental measurements of electrolytic, boiling, and carbonated bubbles, as well as pendant drops. These results bring together and extend previous analytical estimates and, by symmetry, also apply directly to pendant drops.
Comments9 pages, 6 figures
Journal refFaraday Discuss. (2026)
