Martic G, Gentner F, Seveno D, De Coninck J, Blake T D
Center for Research in Molecular Modeling, Materia Nova/University of Mons-Hainaut, Parc Initialis Av. Copernic, 1, 7000 Mons, Belgium.
J Colloid Interface Sci. 2004 Feb 1;270(1):171-9. doi: 10.1016/j.jcis.2003.08.049.
To model the imbibition of liquids into porous solids, use is often made of the Lucas-Washburn equation, which relates the distance of penetration of a liquid at a given time to the pore radius, the viscosity and surface tension of the liquid, and the effective contact angle between the liquid and the solid. In this paper, we extend previous large-scale molecular dynamics simulations to show how this tool can be used to study the details of liquid imbibition, including the impact of the contact angle on the dynamics of penetration and the evolution of the internal flow field. In particular, we show that the asymptotic behavior of the contact angle versus time for a completely wetting liquid is given by approximately t(-1/4).
为了模拟液体渗入多孔固体的过程，人们经常使用卢卡斯-沃什伯恩方程，该方程将给定时间下液体的渗透距离与孔隙半径、液体的粘度和表面张力以及液体与固体之间的有效接触角联系起来。在本文中，我们扩展了之前的大规模分子动力学模拟，以展示如何使用这个工具来研究液体渗入的细节，包括接触角对渗透动力学和内部流场演化的影响。特别是，我们表明，对于完全润湿的液体，接触角随时间的渐近行为近似为t^(-1/4) 。
