流体力学扩散界面模型中薄液层的分离势和铺展
Disjoining Potential and Spreading of Thin Liquid Layers in the Diffuse Interface Model Coupled to Hydrodynamics
摘要：
将流体动力学相场模型应用于固体表面的薄膜铺展问题。分离的潜力，负责修改附近的三相接触线的流体性质，计算从可解性条件的密度场方程与适当的边界条件施加在固体支持。在润滑近似下，导出了描述扩展膜运动的方程。在准平衡扩散的情况下，得到了正确的锐界面极限，并通过数值积分得到了样本解。它进一步表明，蒸发或冷凝可能会强烈影响附近的接触线的动态，并占相间运输的动力学延迟是必要的，以建立一个一致的理论。
英文摘要：
The hydrodynamic phase field model is applied to the problem of film spreading on a solid surface. The disjoining potential, responsible for modification of the fluid properties near a three-phase contact line, is computed from the solvability conditions of the density field equation with appropriate boundary conditions imposed on the solid support. The equation describing the motion of a spreading film are derived in the lubrication approximation. In the case of quasi-equilibrium spreading, is shown that the correct sharp-interface limit is obtained, and sample solutions are obtained by numerical integration. It is further shown that evaporation or condensation may strongly affect the dynamics near the contact line, and accounting for kinetic retardation of the interphase transport is necessary to build up a consistent theory.
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