Effect of finite boundaries on the Stokes resistance of an arbitrary particle Part 3. Translation and rotation

Publisher Website
Google Scholar
Abstract
A general theory is given for the effect of solid walls on a translating and rotating particle in the limiting case of zero Reynolds number. Both the force and couple on the body are found as an expansion in terms of a parameter k = a/d, assumed small, where a is a characteristic particle size and d a characteristic distance of the particle from walls. It is shown how such expansions may be used in specific examples. The theory is then extended to include the general motion of a small particle in an arbitrary Stokes flow field in which solid or other boundaries are present. Finally the motion of two small bodies of arbitrary shape in an arbitrary Stokes flow field is considered.

This publication has 10 references indexed in Scilit: