Nonlinear Meniscus Instability Analysis of Viscous Fluid Between Circular Parallel Plates By Boundary Element Method. 1st Report. A Comparison with Experimental Results.

Abstract

In the present paper nonlinear evolution of disturbances at the meniscus between parallel circular plates is simulated by a boundary element method. To simulate accurately such a nonlinear phenomenon, the thickness of liquid remaining on the plates is obtained numerically against the low capillary number Ca<1.0, which is defined by the viscosity, velocity and surface tension. An integral equation for the boundary element analysis is newly proposed by taking into account the thickness of liquid remaining on the plates. The results in the simulation for the curvature, velocity and the tip position of disturbances growing at the fastest speed were compared with the experimental ones from various points of view, and it was shown that both agreed fairly well.