Numerical Simulations of Moving Contact Line Problems

Abstract

Treating the moving contact lines (fluid-fluid interfaces on solid surface) in numerical simulations are overviewed. At first, mathematical failure in analytical solution for flow between moving wall and static fluid-fluid interface is introduced. Analytical models for the relation between the dynamic contact angle and the contact line moving velocity are also introduced. Defect of numerical simulations based on implicit interface representations are discussed. Then, a front-tracking method combined with generalized Navier boundary condition is presented. Furthermore, it is shown that an analytical asymptotic relation between macroscopic and microscopic behaviors is very useful for combining the microscopic model into macroscopic simulation method.