Sedimentation of homogeneous suspensions in finite vessels
Sedimentation of homogeneous suspensions in finite vessels
复制标题
有限容器中均匀悬浮液的沉降
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
P. Mazur
中科院分区：
文献类型：
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作者：
U. Geigenmüller;P. Mazur
重新研究了均匀悬浮液中沉速与容器形状可能有关的问题。为此，我们发展了一个基于容器中球形颗粒的低雷诺数流体力学的悬浮统计理论。结果表明，在体积分数为一阶的情况下，任意容器内的相对沉积速度与形状无关，但同时发生形状相关的对流。该理论在Beenakker和Mazur早期对特殊几何的计算和Nozières最近提出的现象学理论之间建立了一座桥梁。
The question of a possible container shape dependence of the sedimentation velocity in a homogeneous suspension is reexamined. To this end we develop a statistical theory of suspensions based on low-Reynolds-number hydrodynamics of spherical particles in a container. It is shown, to first order in the volume fraction, that in an arbitrary vessel the relative sedimentation velocity is shape independent, but that at the same time shape-dependent convection occurs. The theory forms a bridge between earlier calculations for special geometries by Beenakker and Mazur and a phenomenological theory recently proposed by Nozières.