The effective shear viscosity of a uniform suspension of spheres

The effective shear viscosity of a uniform suspension of spheres

Publication Type:

Journal Article

Authors:

Bedeaux, D.; Kapral, R.; Mazur, P.

Source:

Physica A: Statistical Mechanics and its Applications, Volume 88, Number 1, p.88-121 (1977)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0003122252&doi=10.1016%2f0378-4371%2877%2990159-5&partnerID=40&md5=8d952bd3bcefb6475e37d56d72a7e128

Abstract:

A general theory is presented to calculate the wave vector and frequency dependent effective viscosity of a suspension of spheres. The resulting formal expression for the effective viscosity is then used to evaluate the coefficients of the linear and the quadratic terms in an expansion in the volume fraction of the spheres using stick boundary conditions. On the linear level the well-known Einstein result is obtained. On the quadratic level we find that it is not justified to neglect higher order spatial derivatives of the secondary velocity fields as done in the analysis by Peterson and Fixman. As a consequence we find a value for the Huggins coefficient which is 12% higher than their value. © 1977.