Transport of sedimenting Brownian particles in a rotating Poiseuille flow
Transport of sedimenting Brownian particles in a rotating Poiseuille flow
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旋转泊肃叶流中沉积布朗颗粒的传输
DOI：
10.1063/1.865299
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发表时间：
1985
影响因子：
4.6
通讯作者：
H. Brenner
中科院分区：
文献类型：
--
作者：
A. Nadim;R. G. Cox;H. Brenner
本文用广义Taylor色散理论分析了在水平圆管中沿其对称轴缓慢旋转的Poiffille流中发生的沉降胶体颗粒的对流和扩散输运。这种刚体旋转用于使颗粒永久地保持悬浮，尽管它们具有非中性浮力，从而防止颗粒沉积在圆柱体底部上。在“大”颗粒的限制，横向扩散是小的沉降相比，表达式推导出的平均轴向速度和泰勒分散的胶体颗粒。提出了一种基于此的新型流场分离（FFF）方案，用于连续分离不同尺寸和/或密度的颗粒。
Generalized Taylor dispersion theory is used to analyze the convective and diffusive transport of sedimenting colloidal particles occurring within a Poiseuille flow in a horizontal circular pipe that is being rotated slowly about its symmetry axis. Such rigid‐body rotation serves to keep the particles permanently in suspension despite their non‐neutral buoyancy, thereby preventing deposition of the particles on the cylinder bottom. In the ‘‘large’’ particle limit, where transverse diffusion is small compared with sedimentation, expressions are derived for the mean axial velocity and Taylor dispersivity of the colloidal particles. A novel flow field fractionation (FFF) scheme based thereon is proposed for continuously separating particles of different sizes and/or densities.