TIME EVOLUTION ANALYSES OF ULTRA-THIN LIQUID FILM SURFACE BY THE LONG WAVE EQUATION (INFLUENCES BY INITIAL/BOUNDARY CONFIGURATIONS AND PHYSICAL PARAMETERS OF THE LIQUID SURFACE)

摘要

To examine deformations of ultra-thin but continuum liquid film, the long wave theory was employed. The long wave theory uses the time-evolution equation for the shape and deformation of the thin liquid film and includes the surface tensions and surface forces such as the van der Waals (vdW) force. By numerically solving the time-dependent long wave equation, deformations of the ultra-thin lubricant film considering the vdW pressure with initial/boundary configurations of the liquid surfaces were obtained.