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arXiv physics/0406050physics.flu-dyn
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固体表面液体薄膜的非线性破裂

Nonlinear Rupture of Thin Liquid Films on Solid Surfaces

A. M. Leshansky, B. Y. Rubinstein

摘要:

在这封信中,我们调查的破裂不稳定性的薄液膜的短尺度不稳定性阈值附近的分岔分析。破裂时间的估计得到的封闭形式作为相关的无量纲组的函数是惊人的协议与原始的非线性演化方程的数值模拟的结果。这表明,弱非线性理论捕捉了足够的物理不稳定性。当拮抗(吸引/排斥)分子力被认为是,非线性饱和的不稳定性成为可能。我们表明,稳定性边界是由范德华势单独。

英文摘要:

In this Letter we investigate the rupture instability of thin liquid films by means of a bifurcation analysis in the vicinity of the short-scale instability threshold. The rupture time estimate obtained in closed form as a function of the relevant dimensionless groups is in striking agreement with the results of the numerical simulations of the original nonlinear evolution equations. This suggests that the weakly nonlinear theory captures the adequate physics of the instability. When antagonistic (attractive/repulsive) molecular forces are considered, nonlinear saturation of the instability becomes possible. We show that the stability boundaries are determined by the van der Waals potential alone.

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