Zw. Fang et N. Phanthien, A PARTICLE SUSPENSION MODEL - AN UNSTRUCTURED FINITE-VOLUME IMPLEMENTATION, Journal of non-Newtonian fluid mechanics, 80(2-3), 1999, pp. 135-153
In this paper, a modified particle temperature model for concentrated
suspensions is proposed, which allows for the shear-induced migration
of particles. The migration is modelled by a convection-diffusion equa
tion, derived from the particle mass and momentum conservation. The mo
del is implemented in an unstructured finite volume method and is util
ized to investigate the shear-induced particle migration in channel fl
ow. The profiles and the evolution of the velocity, concentration and
particle temperature along the channel are presented. The entrance len
gths needed to reach a fully developed profile of the corresponding fi
eld variables are also checked against different averaged concentratio
ns and different relative particle radii. Comparison with available ex
perimental data is made whenever possible. (C) 1999 Elsevier Science B
.V. All rights reserved.