充满粘性流体的弹性鼓泡的合并
Coalescence of elastic blisters filled with a viscous fluid
AI总结：
本研究结合实验、润滑理论与数值模拟，探究了粘性流体在弹性板下合并的弹性-流体动力学过程，发现桥高随时间呈指数增长并对应薄膜方程的自相似解。
摘要：
粘性流体在弹性板下方合并的流体囊广泛存在于跨尺度的自然现象与工程过程中。当流体囊合并时，会形成一座随板松弛而高度增加的桥。我们通过结合实验、润滑理论和数值模拟，研究了这种弹性-流体动力学合并过程的时空动力学。桥高随时间呈指数增长，这对应于弯曲驱动的薄膜方程的自相似解。我们探讨了这种独特的自相似性及桥的自相似形状，两者均得到了数值模拟和实验的证实。
英文摘要：
Pockets of viscous fluid coalescing beneath an elastic plate are encountered in a wide range of natural phenomena and engineering processes, spanning across scales. As the pockets merge, a bridge is formed with a height increasing as the plate relaxes. We study the spatiotemporal dynamics of such an elasto-hydrodynamic coalescence process by combining experiments, lubrication theory and numerical simulations. The bridge height exhibits an exponential growth with time, which corresponds to a self-similar solution of the bending-driven thin-film equation. We address this unique self-similarity and the self-similar shape of the bridge, both of which are corroborated in numerical simulations and experiments.
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