Influence of the Buoyancy Force on the Flow of a Particle-Fluid Mixture Induced by an Oscillating Flat Plate

Abstract

The influence of the buoyancy force, which acts on the particles, on a flow induced in a particle-fluid mixture by an oscillating flat plate is studied theoretically, assuming that the terminal velocity of rising or falling particles is smaller than the velocity of the oscillating plate. The migratory movement of particles due to the component of gravity force perpendicular to the plate affects the oscillatory motion of the particle-fluid mixture, while that due to its component parallel to the plate does not affect it. The influence of the buoyancy force on the flow is clarified in terms of the boundary layer thickness, the wavelength of the viscous wave, the particle velocity, the viscous stress, and so on.