A mathematical model to study the wall roughness effects on the migration of inertial particles in a shear flow
Separation of particles in a fluid domain is relevant in various industrial applications. The effect due to the roughness is preponderant compared with that due to fluid inertia so that the Reynolds number is low and the creeping flow equations apply. The wall roughness is assumed to be rigid and periodic, varied in one direction. The trajectories of freely moving particles in a shear flow are calculated.