运动变形三重接触线的建模:流体惯性的影响
Modelling of the moving deformed triple contact line: influence of the fluid inertia
摘要:
对于部分润湿,三重液-气-固接触线的运动受固体表面的不均匀性的影响。这种影响在惯性(例如振荡)流的情况下可能很强,其中线可能被钉扎或间歇地移动。提出了一个同时考虑表面缺陷和流体惯性的模型。与接触线附近的耗散相比,假定流体中的粘性耗散可以忽略不计。从Hamilton原理出发,导出了接触线处的运动方程和边界条件。作为一个例子,沿垂直不均匀壁的快速毛细上升被视为。
英文摘要:
For partial wetting, motion of the triple liquid-gas-solid contact line is influenced by heterogeneities of the solid surface. This influence can be strong in the case of inertial (e.g. oscillation) flows where the line can be pinned or move intermittently. A model that takes into account both surface defects and fluid inertia is proposed. The viscous dissipation in the bulk of the fluid is assumed to be negligible as compared to the dissipation in the vicinity of the contact line. The equations of motion and the boundary condition at the contact line are derived from Hamilton's principle. The rapid capillary rise along a vertical inhomogeneous wall is treated as an example.
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