A numerical simulation of suspension flow using a constitutive model based on anisotropic interparticle interactions

We report a Brownian configuration field implementation of a recent constitutive equation for suspensions, reported by Phan-Thien et al. 1999. The numerical method is a hybrid technique, which combines a modification of the Brownian configuration field method described by Hulsen et al. 1997 and the...

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Bibliographic Details
Published in:Rheologica acta 2000-03, Vol.39 (2), p.122-130
Main Authors: PHAN-THIEN, N, FAN, X.-J, RONG ZHENG
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Configurations
Constitutive equations
Constitutive models
Constitutive relationships
Cross-disciplinary physics: materials science
rheology
Drag
Exact sciences and technology
Heterogeneous liquids: suspensions, dispersions, emulsions, pastes, slurries, foams, block copolymers, etc
Material form
Mathematical models
Newtonian fluids
Numerical methods
Physics
Rheology
Sedimentation
Viscosity
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Summary:We report a Brownian configuration field implementation of a recent constitutive equation for suspensions, reported by Phan-Thien et al. 1999. The numerical method is a hybrid technique, which combines a modification of the Brownian configuration field method described by Hulsen et al. 1997 and the adaptive viscosity split stress formulation proposed by Sun et al. 1996. The implementation is used to examine the flow past a sphere in a tube. The relative viscosity derived from the drag force/sedimentation velocity agrees well with a well-known empiricism. In addition, the ratio of the pressure force to the drag on the sphere seems to be weakly dependent on the volume fraction, and is somewhat higher than Brenner's results of 1962, which were derived for Newtonian fluids.
ISSN:0035-4511
1435-1528
DOI:10.1007/s003970050012