论文标题
间隙中的无梗液蒸发 - 扩散限制和相变限制方案之间的交叉
Sessile drop evaporation in a gap -- crossover between diffusion-limited and phase transition-limited regime
论文作者
论文摘要
我们考虑一连串的挥发性在刚性固体基材上部分润湿液体的时间演变。因此，滴在强限制下蒸发，即，它位于形成狭窄间隙的两个平行板之一上。首先，我们在梯度动力学形式中开发了有效的介质薄膜描述。它将窄间隙中垂直平均蒸气密度的扩散动力学耦合到挥发性下降的曲线的进化方程。底层自由能功能性融合了液体和气体熵的润湿，界面和大量能量。该模型使我们能够研究浅液滴的扩散限制和相变限制的蒸发之间的过渡。它的梯度动力学特征还允许使用全曲度配方。 其次，我们将用介观模型获得的结果与相应的直接数值模拟进行了比较，以求解与蒸气的扩散方程以及所选实验的液滴方程的液滴方程。顺便说一句，我们讨论了接触线固定的影响。
We consider the time evolution of a sessile drop of volatile partially wetting liquid on a rigid solid substrate. Thereby, the drop evaporates under strong confinement, namely, it sits on one of the two parallel plates that form a narrow gap. First, we develop an efficient mesoscopic thin-film description in gradient dynamics form. It couples the diffusive dynamics of the vertically averaged vapour density in the narrow gap to an evolution equation for the profile of the volatile drop. The underlying free energy functional incorporates wetting, interface and bulk energies of the liquid and gas entropy. The model allows us to investigate the transition between diffusion-limited and phase transition-limited evaporation for shallow droplets. Its gradient dynamics character also allows for a full-curvature formulation. Second, we compare results obtained with the mesoscopic model to corresponding direct numerical simulations solving the Stokes equation for the drop coupled to the diffusion equation for the vapour as well as to selected experiments. In passing, we discuss the influence of contact line pinning.
