 
Summary: Accounting for finitesize effects in simulations of disperse
particleladen flows
S.V. Apte *, K. Mahesh, T. Lundgren
Department of Mechanical Engineering, Oregon State University, 204 Rogers Hall, Corvallis, OR 97331, United States
Department of Aerospace Engineering and Mechanics, University of Minnesota, 107, Akerman Hall, Minneapolis, MN 55455, United States
Received 27 November 2006; received in revised form 22 May 2007
Abstract
A numerical formulation for EulerianLagrangian simulations of particleladen flows in complex geometries is developed. The for
mulation accounts for the finitesize of the dispersed phase. Similar to the commonly used pointparticle formulation, the dispersed par
ticles are treated as pointsources, and the forces acting on the particles are modeled through drag and lift correlations. In addition to the
interphase momentum exchange, the presence of particles affects the fluid phase continuity and momentum equations through the dis
placed fluid volume. Three flow configurations are considered in order to study the effect of finite particle size on the overall flowfield: (a)
gravitational settling, (b) fluidization by a gaseous jet, and (c) fluidization by lift in a channel. The finitesize formulation is compared to
pointparticle representations, which do not account for the effect of finitesize. It is shown that the fluid displaced by the particles plays
an important role in predicting the correct behavior of particle motion. The results suggest that the standard pointparticle approach
should be modified to account for finite particle size, in simulations of particleladen flows.
Published by Elsevier Ltd.
Keywords: Particleladen flows; LES/DNS; Pointparticles; Particlefluid interactions
1. Introduction
Many engineering problems involve twophase flows,
