滑还是不滑？以水平平面基片上二维液滴扩散为原型系统的界面形成模型的系统检验
Slip or not slip? A methodical examination of the interface formation model using two-dimensional droplet spreading on a horizontal planar substrate as a prototype system
摘要：
我们认为薄的二维液滴在平面基板上的扩散作为原型系统，以比较基于Shikhmurzaev的界面形成的接触线运动的当代模型[Int. J. Multiphas. Flow 19，589（1993）]，更常用的连续流体动力学方程与Navier滑移条件增强。考虑准静态液滴演变和使用匹配渐近的方法，我们发现，使用界面形成模型的液滴半径的演变减少到一个等效的表达式为一个滑移模型，其中规定的微观动态接触角有一个速度依赖于其静态值的修正。这一结果被发现为原始的界面形成模型配方和一个更近的版本，其中从散装到表面层的质量传递占通过边界条件。在我们采用的原型系统中，还考虑了模型的各种特征，如接触线处的压力行为和滚动运动及其相关性。
英文摘要：
We consider the spreading of a thin two-dimensional droplet on a planar substrate as a prototype system to compare the contemporary model for contact line motion based on interface formation of Shikhmurzaev [Int. J. Multiphas. Flow 19, 589 (1993)], to the more commonly used continuum fluid dynamical equations augmented with the Navier-slip condition. Considering quasistatic droplet evolution and using the method of matched asymptotics, we find that the evolution of the droplet radius using the interface formation model reduces to an equivalent expression for a slip model, where the prescribed microscopic dynamic contact angle has a velocity dependent correction to its static value. This result is found for both the original interface formation model formulation and for a more recent version, where mass transfer from bulk to surface layers is accounted for through the boundary conditions. Various features of the model, such as the pressure behaviour and rolling motion at the contact line, and their relevance, are also considered in the prototype system we adopt.
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