On the effective viscosity of suspensions

摘要

This work discusses the classical problem of effective viscosity of a Newtonian fluid with rigid spherical particles. It argues that the simple non-interaction approximation when formulated correctly yields an effective viscosity ratio for the suspension in the form μ∣ μ_o= (1 - 2.5φ)~(-1) that remains accurate at much higher volume fractions of particles φ than the usual first-order approximation μ/μ_o= 1 + 2.5φ.