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

Degond, Pierre, Merino-Aceituno, Sara, Vergnet, Fabien and Yu, Hui (2019) Coupled self-organized hydrodynamics and stokes models for suspensions of active particles. Journal of Mathematical Fluid Mechanics, 21 (6). pp. 1-36. ISSN 1422-6928

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Sara Merino Aceituno
Date Deposited: 28 Jan 2019 10:16
Last Modified: 01 Jul 2019 16:47
URI: http://sro.sussex.ac.uk/id/eprint/81473

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