Theory of transport in dilute solutions, suspensions, and pure fluids. II. Intrinsic shear and bulk viscosities

Abstract

We evaluate the intrinsic shear and bulk viscosities of a solution or suspension of hard-sphere solute in a hard-sphere solvent. We use the ideas, developed in the preceding paper, of the generalized boundary condition descriptive of the solute–solvent binary collision in the presence of the solvent treated as a continuum. Via an appropriate choice of the effective core radius and effective mass of the binary collision, we obtain analytically simple expressions that yield the correct hydrodynamic results in the limit K=l/σ11→0 as well as a reasonable approach to the Enskog result when K is large. Here l and σ11 are the mean free path in solvent and size of the solute particle, respectively. Our results also show for the case of a high-density solvent remarkable agreement with hydrodynamic results over a wide range of solute particle size.