Boundary Effects on the Motion of a Single Rigid or Fluid Particle

Abstract

Wall effects on the rate of settling of a rigid or fluid particle are, in many ways, similar to the effects of a second rigid particle, that were considered in chapter 7. By replacing the “wall” with a second particle, the techniques used in the above context are also applied to treat the hydrodynamic interaction of two rigid or fluid particles settling through an otherwise unbounded fluid. If the particle and the wall(s) are sufficiently distant, the hydrodynamic interactions are very weak and the classical solutions for particles in isolation can be used. However, when the particle comes close to the wall, the hydrodynamic interaction is significant.