境界要素法による平行円板間の自由表面の非線形成長解析

抄録

In the present paper, the authors develop a time-dependent numerical algorithm using the boundary element method to simulate the behavior of the free surface of a thin liquid film between two parallel circular plates in negative squeeze motion. A nonlinear evolution of fingers on the free surface is numerically simulated in order to examine the validity of the criterion for meniscus instability on the basis of the linear instability theory and to confirm the validity of the formulation in the boundary element method. Several types of disturbances were imposed at the free surface as an initial perturbation in the simulation. Consequently, when the disturbances with the wavelength distributed at random around the most unstable wavelength given by our theory were applied, finger patterns similar to those formed in the experiment were formed in the simulation.