Capturing Non-Brownian Particle Transport in Simple Periodic Flows
Adetola A. Abatan and Joseph J. McCarthy, Chemical and Petroleum Engineering, University of Pittsburgh, 1249 Benedum Hall, University of Pittsburgh, Pittsburgh, PA 15261

We use a perturbed streamfunction to analyze a dilute suspension of slightly non-neutrally buoyant solid spheres as they migrate across the curved fluid streamlines of a viscous cellular flow. This is done by incorporating particle-fluid interactions into a continuum-based Lagrangian advection model derived from the Basset-Boussinesq-Oseen (BBO) equation. The results demonstrate significant interplay between the underlying fluid structure and non-trivial equilibrium locations of the non-Brownian particles. We also evaluate the effect of the Saffman lift force on the lateral migration of the solid spheres.

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Numerical Simulation of Fluid/Particle Flow Systems - I

The Preliminary Program for 2006 Spring National Meeting