Abstract
We propose a hydrodynamic model for a spheroidal microswimmer with two tangential surface velocity modes. This model is analytically solvable and reduces to Lighthill's and Blake's spherical squirmer model in the limit of equal major and minor semi-axes. Furthermore, we present an implementation of such a spheroidal squirmer by means of particle-based mesoscale hydrodynamics simulations using the multiparticle collision dynamics approach. We investigate its properties as well as the scattering of two spheroidal squirmers in a slit geometry. Thereby we find a stable fixed point, where two pullers swim cooperatively forming a wedge-like conformation with a small constant angle.
Highlights
Living matter exhibits a broad spectrum of unique phenomena which emerge as a consequence of its active constituents
We introduce a virtual safety distance dv, which is small compared to bx and bz
We introduce a repulsive interaction potential between spheroids to prevent their overlap
Summary
Living matter exhibits a broad spectrum of unique phenomena which emerge as a consequence of its active constituents. In 1977, Keller and Wu proposed a generalization of the squirmer model to a prolate-spheroidal shape, which resembles real biological microswimmers such as Tetrahymenapyriformis, Spirostomum ambiguum, and Paramecium multimicronucleatum.[45] that squirmer model accounts for the swimming mode only and does not include a force-dipole mode. This is unfortunate, since the force-dipole mode determines swimmer–swimmer and swimmer–wall interactions.[25,37,39,46] A route to incorporate the force-dipole mode into the spheroidal squirmer model was proposed in ref. This approach neglects thermal fluctuations and tumbling of the squirmers completely; only hydrodynamic and excluded-volume interactions determine the squirmer motion.
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