Numerical simulation of the settling of polydisperse suspensions of spheres

被引:55
作者
Bürger, R
Concha, F
Fjelde, KK
Karlsen, KH
机构
[1] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany
[2] Univ Concepcion, Dept Met Engn, Concepcion, Chile
[3] Univ Bergen, Dept Math, N-5008 Bergen, Norway
[4] RF Rogaland Res, N-5008 Bergen, Norway
关键词
polydisperse suspensions; kinematical sedimentation process; kinematic shocks; rarefaction waves; slip velocities; shock-capturing schemes;
D O I
10.1016/S0032-5910(99)00289-2
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The extension of Kynch's kinematical theory of ideal suspensions to polydisperse suspensions of spheres lends 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. (C) 2000 Elsevier Science S.A, All lights reserved.
引用
收藏
页码:30 / 54
页数:25
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