论文标题
关于重力驱动的液膜的稳定性，覆盖了微观结构，尖锐的角落
On the stability of gravity-driven liquid films overflowing microstructures with sharp corners
论文作者
论文摘要
我们关注的是薄膜薄膜的稳定性，这些薄膜覆盖了带有尖角的单个微观结构。微观结构是矩形和三角形的。它们的高度和宽度是Nusselt膜厚度的0.25、0.5和0.75倍。为了观察光滑，波浪状和非常不稳定的膜，我们进行了雷诺数的模拟，雷诺数范围为10到70。液体膜和溢出气相的动力学是通过Cahn-Hilliard和Navier-Stokes方程之间的耦合来描述的。所得模型形成了非常紧密的方程式和非线性系统。因此，我们仔细选择了解决方案策略，以实现有效，准确的大规模模拟。我们的结果表明，与光滑表面上的膜相比，波的形成转移到了较高的雷诺数。如果最终形成波，则微观结构导致不规则波。我们的结果表明，微结构的形状和维度对溢出液膜的稳定性产生了很大的影响。
We are concerned with the stability of thin liquid films overflowing single microstructures with sharp corners. The microstructures were of rectangular and triangular shape. Their heights and widths were 0.25, 0.5 and 0.75 times the Nusselt film thickness. To observe smooth, wavy and very unstable films we performed simulations with Reynolds numbers ranging from 10 to 70. The dynamics of the liquid film and the overflowing gas phase were described by the coupling between the Cahn-Hilliard and Navier-Stokes equations. The resulting model forms a very tightly coupled and nonlinear system of equations. Therefore we carefully selected the solution strategy to enable efficient and accurate large-scale simulations. Our results showed that the formation of waves was shifted to higher Reynolds numbers compared to the film on a smooth surface. If waves were finally formed the microstructures led to irregular waves. Our results indicate a great influence of the microstructure's shape and dimension on the stability of the overflowing liquid film.
