Suspensions of filaments in the Stokes flow regime have a wide range of applications from fiber processing to nano-cargo transport systems. In this talk a slender-body formulation for multiple filaments immersed in Stokes flow will be presented. Analysis and numerical simulation results will show how the dynamics of semi-flexible filaments could lead to non-trivial filament transport. Effects of hydrodynamic interactions will be quantified in terms of filament separation, filament flexibility, and slenderness. Finally a brief summary on recent attempts to efficiently model multi-filament flows will be presented.

This work is an on-going collaboration with Mike Shelley (Courant Institute, New York University).