Preprint 1999-005
Numerical Simulation of the Settling of Polydisperse Suspensions of
Spheres
R. Bürger, F. Concha, K. K. Fjelde, and
K. Hvistendahl Karlsen
Abstract:
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.
- Paper:
- Available as PostScript (4.7 Mbytes) or
gzipped PostScript (1.1 Mbytes; uncompress
using gunzip).
- Author(s):
- R. Bürger,
<buerger@mathematik.uni-stuttgart.de>
- F. Concha,
<fconcha@udec.cl>
- K. K. Fjelde,
<Kjell-Kaare.Fjelde@rf.no>
- K. Hvistendahl Karlsen,
<kennethk@mi.uib.no>
- Publishing information:
- Preprint 99/02, Sonderforschungsbereich 404, University of Stuttgart,
Stuttgart, Germany.
- Comments:
-
- Submitted by:
-
<buerger@mathematik.uni-stuttgart.de>
March 5 1999.
[
1996
|
1997
|
1998
|
1999
|
All Preprints
|
Preprint Server Homepage
]
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Wed Apr 14 08:50:57 1999