Transport properties of polydisperse fluids. II. Effect of solute polydispersity on the bulk and shear viscosities of a solute–solvent mixture of hard spheres in the Enskog approximation

Abstract

The bulk and shear viscosity expressions for a binary mixture of hard spheres in the Enskog transport theory are generalized to the case in which one of the species (the solute) becomes polydisperse. The effect of polydispersity is expressed in terms of correction factors to results for a binary mixture with a monodisperse solute. These correction factors are evaluated for both a log-normal size distribution of solute particles with the solute mass-size relation of power-law form and a log-normal mass distribution of solute particles with fixed solute-particle size. The results reported here can be easily generalized to a multicomponent mixture involving several polydisperse species and several monodisperse species.