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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Effect of substrate flexibility on dynamic wetting: a finite element model
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Effect of substrate flexibility on dynamic wetting: a finite element model

机译：基材柔韧性对动态润湿的影响：有限元模型

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Dynamic wetting plays an important role in coating processes. In this paper, we present a new finite element formulation that can predict the effect of substrate deformation on the location of the dynamic contact line. Our model solves for the fluid-structural interactions between an elastic solid and a viscous liquid with a dynamic contact line that can move across the deformable solid surface. Surface tension forces acting at the dynamic contact line pull outwards on the substrate and cause the formation of capillary ridge. To predict the shape of the capillary ridge and motion of dynamic contact line, our model uses arbitrary Lagrangian Eulerian (ALE) mesh motion in both fluid and solid phases, because ALE decouples the motion of solid and mesh points. In dynamic wetting of rigid solids it is known that a singularity arises at the dynamic wetting line due to a double-valued velocity. The singularity is often relieved by allowing a slip in a small contact region near the dynamic contact line. Dynamic wetting on flexible substrates involves a second singularity, which arises in the solid domain due to a line force acting at the contact line. The line force singularity is relieved by distributing the force over a finite contact region. Two ALE methods of mesh motion are implemented and compared. The variation of dynamic contact line position with respect to various parameters such as downstream pressure, contact angle, capillary number and elasticity number are presented for the finite element model and compared with an analytical model.
机译：动态润湿在涂层过程中起着重要作用。在本文中，我们提出了一种新的有限元公式，该公式可以预测基板变形对动态接触线位置的影响。我们的模型解决了弹性固体和粘性液体之间的流体-结构相互作用，其动态接触线可以在可变形的固体表面上移动。作用在动态接触线上的表面张力在基板上向外拉并导致毛细脊的形成。为了预测毛细脊的形状和动态接触线的运动，我们的模型在液相和固相中都使用了任意的拉格朗日欧拉（ALE）网格运动，因为ALE分离了实体和网格点的运动。在对刚性固体进行动态润湿时，已知由于双值速度在动态润湿线上出现了奇异性。通常通过在动态接触线附近的小接触区域中打滑来减轻奇异性。在柔性基板上的动态润湿涉及第二奇点，该第二奇点由于作用在接触线上的线力而在实心区域中出现。通过将力分布在有限的接触区域上，可以消除线力奇异性。实现并比较了两种ALE网格运动方法。针对有限元模型，提出了动态接触线位置相对于各种参数（如下游压力，接触角，毛细管数和弹性数）的变化，并与分析模型进行了比较。

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