Next: Mobility and diffusivity
Up: Hydrodynamic Interactions
Previous: The stokeslet approximation
As a first application of the stokeslet approximation to
colloidal hydrodynamics, we calculate
two colloidal spheres' hydrodynamic coupling in an unbounded
Each sphere moves in the flow field
due to its neighbor.
The corresponding mobility tensor is
This result describes the spheres'
hydrodynamic interactions at separations large compared with
It is not in the most convenient form for comparison with
optical tweezer measurements, however.
For those purposes, we relate spheres' mobility to their
more easily measured diffusivity.
David G. Grier