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首页> 外文期刊>Journal of Computational Physics >Finite element simulation of dynamic wetting flows as an interface formation process
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Finite element simulation of dynamic wetting flows as an interface formation process

机译：动态润湿流作为界面形成过程的有限元模拟

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A mathematically challenging model of dynamic wetting as a process of interface formation has been, for the first time, fully incorporated into a numerical code based on the finite element method and applied, as a test case, to the problem of capillary rise. The motivation for this work comes from the fact that, as discovered experimentally more than a decade ago, the key variable in dynamic wetting flows - the dynamic contact angle - depends not just on the velocity of the three-phase contact line but on the entire flow field/geometry. Hence, to describe this effect, it becomes necessary to use the mathematical model that has this dependence as its integral part. A new physical effect, termed the 'hydrodynamic resist to dynamic wetting', is discovered where the influence of the capillary's radius on the dynamic contact angle, and hence on the global flow, is computed. The capabilities of the numerical framework are then demonstrated by comparing the results to experiments on the unsteady capillary rise, where excellent agreement is obtained. Practical recommendations on the spatial resolution required by the numerical scheme for a given set of non-dimensional similarity parameters are provided, and a comparison to asymptotic results available in limiting cases confirms that the code is converging to the correct solution. The appendix gives a user-friendly step-by-step guide specifying the entire implementation and allowing the reader to easily reproduce all presented results, including the benchmark calculations.
机译：作为界面形成过程的动态润湿数学上具有挑战性的模型首次被完全纳入基于有限元方法的数字代码中，并作为测试案例应用于毛细现象。这项工作的动机来自这样一个事实，即十多年来，通过实验发现，动态润湿流的关键变量-动态接触角-不仅取决于三相接触线的速度，还取决于整个流场/几何。因此，为了描述这种效果，变得有必要使用具有这种依赖性的数学模型作为其组成部分。发现了一种新的物理效应，称为“动态润湿的流体动力学抗蚀剂”，其中可以计算毛细管半径对动态接触角的影响，从而对整体流动的影响。然后，通过将结果与非稳态毛细管上升实验进行比较，证明了数值框架的功能，并获得了很好的一致性。提供了针对给定的一组无量纲相似性参数的数值方案所需的空间分辨率的实用建议，并且在极限情况下与可用渐近结果的比较证实了代码正在收敛到正确的解决方案。附录提供了用户友好的分步指南，详细说明了整个实现方式，并使读者可以轻松重现所有呈现的结果，包括基准计算。

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