Jma. Hofman et al., Hydrodynamic interactions in colloidal crystals - (I). General theory for simple and compound lattices, PHYSICA A, 268(3-4), 1999, pp. 326-352
A new method is presented for low-Reynolds-number flow problems involving p
eriodic arrays of spherical particles. The method is based on an exact tech
nique to calculate quasi-static hydrodynamic interactions between a finite
number of spheres immersed in an unbounded Newtonian fluid. This technique
is applied to an infinite system defined by periodic cells containing an ar
bitrary configuration of N rigid spheres, The N spheres may be differently
sized, Using the translational symmetry of the periodic cells, the set of e
quations representing all hydrodynamic interactions in the infinite array,
is decoupled. The set of decoupled equations resembles that for an isolated
roup of N particles. (C) 1999 Elsevier Science B.V. All rights reserved.