TY - JOUR
AB - We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek–Stokes system. The Vicsek model describes self-propelled agents interacting through alignment. It provides a phenomenological description of hydrodynamic interactions between agents at high density. Stokes equations describe a low Reynolds number fluid. These two dynamics are coupled by the interaction between the agents and the fluid. The fluid contributes to rotating the particles through Jeffery’s equation. Particle self-propulsion induces a force dipole on the fluid. After coarse-graining we obtain a coupled Self-Organised Hydrodynamics–Stokes system. We perform a linear stability analysis for this system which shows that both pullers and pushers have unstable modes. We conclude by providing extensions of the Vicsek–Stokes model including short-distance repulsion, finite particle inertia and finite Reynolds number fluid regime.
AU - Degond,P
AU - Merino,Aceituno S
AU - Vergnet,F
AU - Yu,H
DO - 10.1007/s00021-019-0406-9
PY - 2019///
SN - 1422-6928
TI - Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles
T2 - Journal of Mathematical Fluid Mechanics
UR - http://dx.doi.org/10.1007/s00021-019-0406-9
UR - http://hdl.handle.net/10044/1/67129
VL - 21
ER -