The lattice-Boltzmann method was used to investigate the effects of the sha
pe and concentration of the particles on the rheological properties of non-
Brownian suspensions for non-zero Reynolds numbers. Several case studies we
re analyzed and the methods used were found to give accurate predictions fo
r these systems. The viscosity of suspensions of both spherical and non-sph
erical particles was determined as functions of shear rate and concentratio
n of particles. It was shown that, for high shear rates, shear thickening a
ppears. This phenomenon is particularly pronounced for particles of irregul
ar shape. (C) 2000 Elsevier Science B.V. All rights reserved.