Boundary conditions for the moving contact line problem
Boundary conditions for the moving contact line problem
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DOI：
10.1063/1.2646754
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发表时间：
2007-02-01
影响因子：
4.6
通讯作者：
E, Weinan
中科院分区：
文献类型：
--
作者：
Ren, Weiqing;E, Weinan
利用分子动力学和连续介质力学对运动接触线附近的物理过程进行了系统的研究。研究了接触线区摩擦力、液-液界面力和液-固界面区应力的本构关系。力平衡的验证证明了接触线区域的正应力跃变的重要性。有效的边界条件推导力平衡。结果表明，在所研究的流动状态下，壁面接触角与平衡接触角的偏差与接触线的速度成正比。对有效连续介质模型进行了数值求解，研究了表观接触角和壁面接触角的变化规律。结果表明，壁面附近的流体-流体界面具有普遍的行为。在Blake分子动力学理论的框架内研究了接触线运动的非线性响应的发生。(c)2007年，美国物理学会。
The physical processes near a moving contact line are investigated systematically using molecular dynamics and continuum mechanics. Constitutive relations for the friction force in the contact line region, the fluid-fluid interfacial force, and the stresses in the fluid-solid interfacial region are studied. Verification of force balance demonstrates the importance of the normal stress jump across the contact line region. Effective boundary conditions are derived using force balance. It is found that in the flow regime studied, the deviation of the wall contact angle from the equilibrium contact angle is proportional to the velocity of the contact line. The effective continuum model is solved numerically and the behavior of the apparent contact angle and the wall contact angle is studied. It is found that the fluid-fluid interface near the wall exhibits a universal behavior. The onset of the nonlinear response for the contact line motion is studied within the framework of Blake's molecular kinetic theory. (c) 2007 American Institute of Physics.