论文标题
薄粘弹性易碎膜的杰弗里斯类型，受重力和底物相互作用
Thin viscoelastic dewetting films of Jeffreys type subjected to gravity and substrate interactions
论文作者
论文摘要
这项工作介绍了一项研究，该研究受到两个空间维度的薄粘弹性膜的重力和底物相互作用。理事方程是在重力效应下的Navier-Stokes方程的长波近似，其中Jeffreys模型用于粘弹性应力。对于特定的水平或反向平面的情况，进行线性稳定性分析以研究涉及的物理参数对不稳定性的生长速率和长度尺度的影响。对倒置平面的特定情况提出了对脱水过程的非线性制度的数值模拟。发现重力和分离压力不仅会影响不稳定性的长度尺度，而且还会影响脱水的最终构型，而偏爱卫星液滴的形成，这些卫星液滴被用固体基板抑制。
This work presents a study of the interfacial dynamics of thin viscoelastic films subjected to the gravitational force and substrate interactions induced by the disjoining pressure, in two spatial dimensions. The governing equation is derived as a long-wave approximation of the Navier-Stokes equations for incompressible viscoelastic liquids under the effect of gravity, with the Jeffreys model for viscoelastic stresses. For the particular cases of horizontal or inverted planes, the linear stability analysis is performed to investigate the influence of the physical parameters involved on the growth rate and length scales of instabilities. Numerical simulations of the nonlinear regime of the dewetting process are presented for the particular case of an inverted plane. Both gravity and the disjoining pressure are found to affect not only the length scale of instabilities, but also the final configuration of dewetting, by favoring the formation of satellite droplets, that are suppressed by the slippage with the solid substrate.
