Abstract
In this paper we apply the lattice Boltzmann method and an extension to particle suspensions as introduced by Ladd et al to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We find that a particle free region arises near walls, which has a width depending on the shear rate and the particle concentration. The wall causes the formation of parallel particle layers at low concentrations, where the number of particles per layer decreases with increasing distance from the wall.