A review of multi-scale moving contact line dynamics models and its applications

The moving contact line problem is crucial in the study of multiphase flow, which involves how the interfaces between fluid phases move and deform on a solid surface. The study of moving contact lines covers areas such as biomedical systems, petroleum production, and transport in porous media. But because the behavior of the fluid near the contact line is highly complex and influenced by a variety of factors such as boundary conditions, surface tension, solid surface properties and external disturbances, precisely simulating and predicting the behavior of the contact line has become an extremely challenging subject. The complexity of the moving contact line dynamics model, with its multi-scale characteristics of microscopic molecular interactions and macroscopic fluid behavior, is a key scientific issue in interface science. With the development of computing technology, a variety of dynamic models for describing the phenomenon of moving contact lines have been proposed to address this challenge. This paper systematically reviews multi-scale moving contact line dynamics models ranging from molecular kinetic to continuous hydrodynamics theory. In addition, the application of moving contact lines in interface science is explored, the research progress in this field is summarized, and prospects for the future development direction of multi-scale model fusion are presented.