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Flow properties and hydrodynamic interactions of rigid spherical microswimmers

2017/06/30 by Tapan Chandra Adhyapak, Sara Jabbari‐Farouji, Sara Jabbari-Farouji
Engineering · Mathematics · Physics and Astronomy · #Active matter #Classical mechanics #Collective motion #Dipole #Flow (mathematics) #Geometry #Mathematics #Mechanics #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Molecular Communication and Nanonetworks #Physics #Point (geometry) #Propulsion #Rigid body #Stokes flow #cond-mat.soft #physics.bio-ph #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.96.052608

published as Phys. Rev. E 96, 052608 (2017)

arxiv created 2017/09/21 · openalex publication_date 2017/11/27 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze a minimal model for a rigid spherical microswimmer and explore the consequences of its extended surface on the interplay between its self-propulsion and flow properties. The model is the first order representation of microswimmers, such as bacteria and algae, with rigid bodies and flexible propelling appendages. The flow field of such a microswimmer at finite distances significantly differs from that of a point-force (Stokeslet) dipole. For a suspension of microswimmers, we derive the grand mobility matrix that connects the motion of an individual swimmer to the active and passive forces and torques acting on all the swimmers. Our investigation of the mobility tensors reveals that hydrodynamic interactions among rigid-bodied microswimmers differ considerably from those among the corresponding point-force dipoles. Our results are relevant for the study of collective behavior of hydrodynamically interacting microswimmers by means of Stokesian dynamics simulations at moderate concentrations.

Citations