Pendant drops suspended on the underside of a wet substrate are known to accumulate fluid from the surrounding thin liquid film, a process that often results in dripping. The growth of such drops is hastened by their ability to translate over an otherwise uniform horizontal film. Here we show that this scenario is surprisingly reversed when the substrate is slightly tilted ($\approx 2°$); drops become too fast to grow and shrink over the course of their motion. Combining experiments and numerical simulations, we rationalize the transition between the conventional growth regime and the previously unknown decay regime we report. Using an analytical treatment of the Landau-Levich meniscus that connects the drop to the film, we quantitatively predict the drop dynamics in the two flow regimes and the value of the critical inclination angle where the transition between them occurs.

中文翻译：

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略微倾斜的湿基材底部的液滴移动太快而无法生长

众所周知，悬浮在湿基板下侧的悬滴会从周围的薄液膜中积聚液体，这一过程通常会导致滴落。这种液滴的生长因其在其他均匀的水平薄膜上平移的能力而加速。在这里，我们展示了当基板稍微倾斜时，这种情况出人意料地逆转（$\approx 2°$); 液滴在其运动过程中变得太快而无法增长和缩小。结合实验和数值模拟，我们合理化了传统增长方式和我们报告的以前未知的衰变方式之间的过渡。使用将液滴连接到薄膜的 Landau-Levich 弯液面的分析处理，我们定量预测了两种流态中的液滴动力学以及它们之间发生过渡的临界倾角值。