AI 中文总结
针对现有挤压膜流体动力学理论高估粘性液体飞溅速度的问题，本文提出理论框架，通过考虑局部与对流惯性并引入动量平均喷射速度，实现了广泛参数范围内与实验的良好吻合。
AI 中文摘要
在两个相互靠近的固体表面之间挤压液膜会产生高速的边缘飞溅。尽管对挤压膜流体动力学已有广泛研究，但飞溅速度的定量预测仍未解决，现有理论显著高估了实验结果。本文提出了一个理论框架，用于预测两个平行圆盘间挤压的粘性液体的喷射速度。研究表明，理论与实验的差异源于对液体惯性的处理不完整，以及使用峰值喷射速度来代表飞溅速度。通过考虑局部和对流惯性，并引入动量平均喷射速度，我们在广泛的参数范围内获得了与实验的良好一致性。
英文摘要
Squeezing of a liquid film between two approaching solid surfaces can generate a high-speed peripheral splash. Despite extensive studies on squeeze-film hydrodynamics, quantitative prediction of the splash velocity remains unresolved, with existing theory significantly overestimating experiments. Here, we present a theoretical framework to predict the ejection velocity of viscous liquid squeezed between two parallel circular disks. We show that discrepancy of theory from experiments arise due to incomplete treatment of liquid inertia and from using peak ejection velocity to represent splash velocity. By accounting for both local and convective inertia, and introducing a momentum-averaged ejection velocity, we obtain good agreement with experiments over a wide range of parameters.
Comments5 pages, 4 figures
