Dusty Viscous Flow Between Concentric Spheres Performing Longitudinal Oscillations

Abstract

The primary flow of dusty viscous fluid due to longitudinal oscillations of two concentric spheres is considered. The velocity fields for the fluid and dust particles are determined. The pressure is evaluated and the drag on a sphere is calculated assuming that the frequency of oscillations is small. The oscillation of a single sphere is discussed. The presence of dust in the fluid increases the virtual mass of the sphere and the magnitude of the damping force acting on the sphere.