University of Sussex
Browse
Degond2019_Article_CoupledSelf-OrganizedHydrodyna.pdf (1.12 MB)

Coupled self-organized hydrodynamics and stokes models for suspensions of active particles

Download (1.12 MB)
Version 2 2023-06-12, 08:59
Version 1 2023-06-09, 16:38
journal contribution
posted on 2023-06-12, 08:59 authored by Pierre Degond, Sara Merino-Aceituno, Fabien Vergnet, Hui Yu
We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes selfpropelled 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 (SOH)-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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Journal of Mathematical Fluid Mechanics

ISSN

1422-6928

Publisher

Springer

Issue

6

Volume

21

Page range

1-36

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2019-01-28

First Open Access (FOA) Date

2019-04-08

First Compliant Deposit (FCD) Date

2019-01-25

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC