We describe a constitutive model for monodispersed concentrated suspensions
of spheres at high volume fractions. In this model the motion of a pair of
generic spheres is represented by that of a pair of force-free and torque-
free spheres tumbling along with the flow. The interaction with the surroun
ding spheres is modelled by an anisotropic diffusion process. Viscometric a
nd elongational properties of the model are obtained by a Brownian dynamic
simulation.