NUMERICAL-SIMULATION OF PARTICLE MIGRATION IN CONCENTRATED SUSPENSIONS BY A FINITE-VOLUME METHOD

This paper is concerned with the numerical modelling of particle migra tion in concentrated suspensions by the finite volume method. The cons titutive equation for the particle flux, originally proposed by Philli ps et al., Phys. Fluids A, 4 (1992) 30-40, in one dimension, is implem ented in general two-dimensional flows with arbitrary geometry and bou ndary conditions. The numerical implementation is benchmarked against the exact solution in circular Couette flow, including the transient c ase where a closed-form solution is not available. The numerical predi ctions in an eccentric circular geometry, where the inner cylinder is placed off the axis of the outer cylinder, are given, showing that par ticles migrate towards the outer cylinder, but at different rates depe nding on their azimuthal positions.