Preprint 2000-008
Central Difference Solutions of the Kinematic
Model of Settling of Polydisperse Suspensions and
Three-Dimensional Particle-Scale Simulations
R. Bürger, K.-K. Fjelde, K. Höfler, and K. Hvistendahl
Karlsen
Abstract:
The extension of Kynch's kinematic theory of sedimentation of monodisperse
suspensions to polydisperse mixtures leads to a nonlinear system of
conservation laws for the volume fractions of each species. In this paper, we
show that a second order central (Riemann solver free) scheme for the solution
of systems of conservation laws can be employed as an efficient tool for the
simulation of the settling and the separation of polydisperse
suspensions. This is demonstrated by comparison with a published experiment of
settling of a bidisperse suspension. In addition, we compare the prediction
of the one-dimensional kinematic sedimentation model with a three-dimensional
particle-scale simulation.
- Paper:
- Available as PostScript (1.1 Mbytes) or
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using gunzip).
- Author(s):
- R. Bürger,
<buerger@mathematik.uni-stuttgart.de>
- K.-K. Fjelde,
<Kjell-Kaare.Fjelde@rf.no>
- K. Höfler,
<kai@ica1.uni-stuttgart.de>
- K. Hvistendahl Karlsen,
<kennethk@mi.uib.no>
- Publishing information:
- Preprint 2000/04, Sonderforschungsbereich 404, University of Stuttgart
- Comments:
-
- Submitted by:
-
<kennethk@mi.uib.no>>
February 16 2000.
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Last modified: Wed Feb 16 09:52:59 2000