Slipping contact line model and the mass-conservative level set implementation for ink-jet simulation

摘要

A macroscopic physical model simulates and analyzes ink ejection from a piezoelectric print head. The model handles the slipping contact line problem and introduces a mass-conservative finite difference implementation using the level set method. First, the critical angle approach is adopted. The triple point is allowed to move if the critical angle is exceeded. Second, the no-slip boundary condition in the neighborhood of the triple point is relaxed and substituted by the free-slip boundary condition. Third, to allow the triple point to quickly accelerate when the critical angle is exceeded, an extra surface tension is added as a body force term in the governing equation. Fourth, the level set method is adopted to implement the slipping contact line model. Finally the above idea is incorporated in a fluid solver based on the higher-order projection method.