论文标题
在纤维上液膜的滑动增强的雷利 - 帕拉托不稳定性
Slip-enhanced Rayleigh-Plateau instability of a liquid film on a fibre
论文作者
论文摘要
液体固体界面处的边界条件对于涂在纤维上的液膜的动力学至关重要。在这里，开发了基于轴对称stokes方程的理论框架，以探索液体固定滑移对纤维上圆柱膜的雷利 - 普拉托不稳定性的影响。新模型不仅表明，经典润滑模型高估了扰动的滑动增长速率，而且还表明了依赖滑动的显性波长，而不是通过润滑方法获得的恒定值，这会导致在更滑的纤维上形成较大的下降。理论发现通过通过流体量方法对Navier-Stokes方程的直接数值模拟进行了验证。此外，我们的模型预测的滑动依赖性显性波长与Haefner提供的实验结果一致。等人[Nat。 Commun。，第1卷6（1），2015，18pp。1-6]。
Boundary conditions at a liquid-solid interface are crucial to dynamics of a liquid film coated on a fibre. Here a theoretical framework based on axisymmetric Stokes equations is developed to explore the influence of liquid-solid slip on the Rayleigh-Plateau instability of a cylindrical film on a fibre. The new model not only shows that the slip-enhanced growth rate of perturbations is overestimated by the classical lubrication model, but also indicates a slip-dependent dominant wavelength, instead of a constant value obtained by the lubrication method, which leads to larger drops formed on a more slippery fibre. The theoretical findings are validated by direct numerical simulations of Navier-Stokes equations via a volume-of-fluid method. Additionally, the slip-dependent dominant wavelengths predicted by our model agree with the experimental results provided by Haefner. et al.[Nat. Commun., Vol. 6(1), 2015, 18 pp. 1-6].
