A general perturbative approach for bead-based microswimmers reveals rich self-propulsion phenomena

Medientyp: E-Artikel

Titel: A general perturbative approach for bead-based microswimmers reveals rich self-propulsion phenomena

Beteiligte: Ziegler, Sebastian [VerfasserIn]; Hubert, Maxime [VerfasserIn]; Vandewalle, Nicolas [VerfasserIn]; Harting, Jens [VerfasserIn]; Smith, Ana-Sunčana [VerfasserIn]

Erschienen: IOP73379, 2019

Sprache: Englisch

DOI: https://doi.org/10.1088/1367-2630/ab4fc2

ISSN: 1367-2630

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Beschreibung: Studies of model microswimmers have significantly contributed tothe understanding of the principles of self-propulsion we have today. However,only a small number of microswimmer types have been amenable to analyticmodeling, and further development of such approaches is necessary to identifythe key features of these active systems. Here we present a general perturbativecalculation scheme for swimmers composed of beads interacting by harmonicpotentials, driven by an arbitrary force protocol. The hydrodynamic interactionsare treated using the Oseen and Rotne-Pragner approximations. We validateour approach by using 3 bead assemblies and comparing the results with thenumerically obtained full-solutions of the governing equations of motion, as well aswith the existing analytic models for a linear and a triangular swimmer geometries.While recovering the relation between the force and swimming velocity, ourdetailed analysis and the controlled level of approximation allow us to findqualitative differences already in the far field flow of the devices. Consequently,we are able to identify a behavior of the swimmer that is richer than predictedin previous models. Given its generality, the framework can be applied to anyswimmer geometry, driving protocol and beads interactions, as well as in manyswimmers problems.

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