论文标题
多孔媒体中的润湿前线
Wetting Fronts in Porous Media
论文作者
论文摘要
通过圆形绘图区域将流体吸收到多孔基板中时，考虑了润湿界面的动力学。在为解决这组方程式的完整有限元方案之前，提出了假设不可压缩的达西流动的数学模型，假设是不可压缩的Darcy流。进行渐近分析，揭示了达西方程的假设与其产生的解决方案之间的矛盾，以及润湿前和宏观接触角的行为的定性结果。介绍了整个湿区域的速度和压力分布，以及通过讨论的润湿前部和参数演变的图。
The dynamics of the wetting front are considered during the imbibition of a fluid into a porous substrate through a circular drawing area. A mathematical model of this process, assuming incompressible Darcy flow, is presented, before the full finite element scheme for solving this set of equations is given allowing the reader to reproduce all presented results. Asymptotic analysis is performed revealing contradictions between the assumptions of Darcy's equation and the solutions it produces, along with qualitative results for the behaviour of the wetting front and macroscopic contact angles. Velocity and pressure distributions across the wetted region are presented, as well as plots of the evolution of the wetting front and parameters with discussion.
