Hydrodynamic interactions in a suspension with a structured fluid .1. General expressions for the mobilities

Abstract

In this work we treat the hydrodynamic interactions between any number of spheres immersed in a viscous fluid that has internal structure. These effects are due to internal angular momentum of the fluid molecules. We generalize the scheme proposed by Mazur and van Saarloos, and obtain general expressions for the translational, rotational and cross mobilities for the case under treatment. The limit of a non-structured fluid agrees with earlier known results.