Terminal falling velocity of spherical particles moving through a Carreau purely viscous fluid

Abstract

The paper deals with the determination of the terminal falling velocity of solid spherical particles moving slowly through an unbounded time-independent purely viscous Carreau liquid. The relationships based on the Carreau four-parametric viscosity model are given for calculation of a sphere terminal velocity falling in the creeping flow region. The comparison of terminal velocities calculated according to these relationships with those obtained experimentally is presented. In experiments, the terminal velocity of spheres in the aqueous solutions of polymers was measured. A good agreement between the calculated and experimental values of terminal falling velocities was found.