Hydrodynamic interactions in a suspension of spherical particles
Hydrodynamic interactions in a suspension of spherical particles
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球形颗粒悬浮液中的流体动力学相互作用
DOI：
10.1063/1.454658
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发表时间：
1988
影响因子：
4.4
通讯作者：
A. Ladd
中科院分区：
文献类型：
--
作者：
A. Ladd
数值统计力学中的一个长期存在的问题是悬浮液中颗粒之间的长程、多体流体动力的结合。在本文中，我描述了一种计算悬浮在不可压缩流体中的缓慢运动的球体所受力和力矩的通用计算方法。特别是，该方法正确地考虑了周期性边界条件对流体动力流场的影响。给出了作为周期单胞大小的函数的小球团的摩擦力和迁移率矩阵的结果。对于具有周期边界条件的系统，导出了自由运动球体悬浮液的粘性表达式，并对简单立方晶格中的球体悬浮体得到了数值结果。
A long standing problem in numerical statistical mechanics has been the incorporation of the long range, many‐body hydrodynamic forces between particles in suspension. In this paper I describe a general computational method for calculating the forces and torques exerted by slowly moving spheres suspended in an incompressible fluid. In particular, the method correctly incorporates the effect of periodic boundary conditions on the hydrodynamic flow field. Results are presented for the friction and mobility matrices of small clusters of spheres as a function of the size of the periodic unit cell. An expression for the viscosity of a suspension of freely moving spheres is derived for a system with periodic boundary conditions, and numerical results are obtained for a suspension of spheres arranged in a simple‐cubic lattice.