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arXiv 1906.04685physics.flu-dyn
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斯托克斯薄膜破裂理论

Stokes theory of thin-film rupture

D. Moreno-Boza, A. Martínez-Calvo, A. Sevilla

备注：
12 pages, 7 figures
发表信息：
Phys. Rev. Fluids 5, 014002 (2020)
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摘要：

通过对Stokes方程的理论和数值模拟，揭示了固体基底上非润湿液膜的范德华失稳引起的流动结构。我们的分析表明，润滑理论，它产生$h_{\text{min}} \propto τ^{1/5}$，其中$h_{\text{min}}$是最小的膜厚度和$τ$是直到破裂的时间，不能用来描述接近破裂的局部流动。相反，细长的润滑解决方案被证明是经历一个交叉到一个通用的自相似解决方案的斯托克斯方程，产生$h_{\text{min}} \propto τ^{1/3}$，与开度角$37^{\circ}$的固体。

英文摘要：

The structure of the flow induced by the van der Waals destabilization of a non-wetting liquid film placed on a solid substrate is unraveled by means of theory and numerical simulations of the Stokes equations. Our analysis reveals that lubrication theory, which yields $h_{\text{min}} \propto τ^{1/5}$ where $h_{\text{min}}$ is the minimum film thickness and $τ$ is the time until breakup, cannot be used to describe the local flow close to rupture. Instead, the slender lubrication solution is shown to experience a crossover to a universal self-similar solution of the Stokes equations that yields $h_{\text{min}} \propto τ^{1/3}$, with an opening angle of $37^{\circ}$ off the solid.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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