 
Summary: ILASS Americas 20th Annual Conference on Liquid Atomization and Spray Systems, Chicago, IL, May 2007
Modeling Volumetric Coupling of the Dispersed Phase using the
EulerianLagrangian Approach
Ehsan Shams
and Sourabh V. Apte
School of Mechanical, Manufacturing and Industrial Engineering
Oregon State University
204 Rogers Hall, Corvallis, OR 97331
Abstract
The EulerianLagrangian approach is commonly used in modeling twophase flows wherein liquid droplets,
solid particles, or bubbles are dispersed in a continuum fluid of a different phase. Typically, the motion of the
dispersed phase is modeled by assuming spherical, pointparticles with models for added mass effects, drag,
and lift forces. The effect of the dispersed phase on the fluid flow is modeled using reaction forces in the fluid
momentum equation. Such an approach is valid for dilute regions of the dispersed phase. For dense regions,
however, the pointparticle approach does not capture the interactions between the fluid and the dispersed
phase accurately. In this work, the fluid volume displaced by the dispersed phase is taken into account to
model the dense regions. The motion of the dispersed phase results in local, spatiotemporal variations of the
volume fraction fields. The resultant divergence in the fluid velocity acts as a source or sink displacing the
flow due to dispersed phase and is termed as volumetric coupling. The size of the dispersed phase is assumed
smaller than the grid resolution and for the continuum phase. The variabledensity, lowMach number
