Hydrodynamic Interactions Between Two Slender Tori in a Viscous Fluid

摘要

As a gift to Professor Bird, hydrodynamic interactions between two slender toroidal particles immersed in a viscous fluid are derived to extend the Rotne-Prager-Yamakawa (RPY) tensor formulation of bead-spring and bead-rod models of polymer kinetic theory to toroidal beads. As a relatively simple example of a multiply connected domain, this model geometry exhibits the special "role of the hole" and features new tensorial constructs beyond the Oseen--Burgers and Stokes quadrupoles that are encountered in the classical RPY theory.