论文标题
二维式偶像滴滴在漫射界面模型中的不存在
Nonexistence of two-dimensional sessile drops in the diffuse-interface model
论文作者
论文摘要
扩散地面模型（DIM）是一种广泛使用的工具，用于对涉及接口的流体现象进行建模 - 例如，在固体底物上液滴滴（液滴，被饱和蒸气包围）和液体脊（二维螺纹液滴）。在这项工作中，事实证明，令人惊讶的是，DIM不承认描述静态液体的解决方案。但是，如果蒸气与液的密度比很小（例如，在室温下的水）仍然可以被视为准静态状态，因为它们的演变太慢，无法与蒸发区分开。有趣的是，不存在的定理不能扩展到垂直壁附近的轴对称为对称的缝线滴和山脊，而垂直壁不排除。
The diffuse-interface model (DIM) is a widely used tool for modeling fluid phenomena involving interfaces -- such as, for example, sessile drops (liquid drops on a solid substrate, surrounded by saturated vapor) and liquid ridges (two-dimensional sessile drops). In this work, it is proved that, surprisingly, the DIM does not admit solutions describing static liquid ridges. If, however, the vapor-to-liquid density ratio is small -- as, for example, for water at room temperature -- the ridges can still be observed as quasi-static states, as their evolution is too slow to be distinguishable from evaporation. Interestingly, the nonexistence theorem cannot be extended to axisymmetric sessile drops and ridges near a vertical wall, which are not ruled out.
