Simulation of a High Aspect Ratio Squeezing Flow in Parallel Flat Plates Using a Cylindrical Particle Method

Abstract

In this paper, a cylindrical particle method to simulate a squeezing flow in a high aspect ratio domain is proposed. In a high aspect ratio domain, the scale of the vertical direction is incomparably smaller than that of the plane direction. It is practically impossible to simulate such a domain in three dimensions because a large number of calculation points are needed and it takes too much time. A high aspect ratio domain is represented by a two dimensional model and particles are regarded as cylinders. The size of particles is changed according to the height and the pressure term is computed so as to make the fluid incompressible. As a result, a fluid flow in the two dimensional plane is calculated. Three dimensional viscosity resistance is evaluated so that viscosity in simulation accords with that in an experiment. Simulation results agree with the experiments qualitatively.