Numerical Simulation of the Settling of Polydisperse Suspensions of
R. Bürger, F. Concha, K. K. Fjelde, and
K. Hvistendahl Karlsen
The extension of Kynch's kinematical theory of
ideal suspensions to polydisperse suspensions of
spheres leads to a nonlinear system of conservation laws for
the volumetric concentration of each species. In this work,
we consider particle species different in sizes and
densities, including the buoyant case. We show that
modern shock-capturing numerical schemes for the
solution of systems of conservation laws can be employed
as an efficient tool for the
simulation of the settling and separation of polydisperse suspensions.
This is demonstrated by comparison with published experimental and
theoretical results and by simulating some hypothetical configurations.
Particular attention is focused on the emergence of rarefaction waves.
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- R. Bürger,
- F. Concha,
- K. K. Fjelde,
- K. Hvistendahl Karlsen,
- Publishing information:
- Preprint 99/02, Sonderforschungsbereich 404, University of Stuttgart,
- Submitted by:
March 5 1999.
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Last modified: Wed Apr 14 08:50:57 1999