Document Type
Article
Date
1-1-1988
Embargo Period
9-2-2012
Keywords
spheres, sedimentation, sediments, equations of motion, stokes law, symmetry, particle size, numerical solution, multipoles, series expansion, viscosity, fluids
Disciplines
Chemical Engineering
Description/Abstract
Exact periodic solutions are found for the relative motion of three spheres sedimenting in a Stokes fluid. Nearby solutions are found to be nearly periodic for a long time. Existence of the exact periodic solutions is proved using the point-particle approximation and symmetry properties of Stokes equations. Numerical simulations for finitie-sized particles are performed using a method of multipole expansions.
Recommended Citation
Sangani, Ashok S.; Caflisch, Russel E.; Lim, Chjan; and Luke, Jonathan H. C., "Periodic Solutions for Three Sedimenting Spheres" (1988). Biomedical and Chemical Engineering. Paper 16.
http://surface.syr.edu/bce/16
Additional Information
Copyright 1988 Physics of Fluids. This article may be downloaded for personal use only. Any other use requires prior permission of the author and Physics of Fluids. The article may be found at http://dx.doi.org/10.1063/1.866928