The Scallop Theorem and Swimming at the Mesoscale
Fluid Dynamics
2021-06-09 v1 Soft Condensed Matter
Abstract
By synergistically combining modeling, simulation and experiments, we show that there exists a regime of self-propulsion in which the inertia in the fluid dynamics can be separated from that of the swimmer. This is demonstrated by the motion of an asymmetric dumbbell that, despite deforming in a reciprocal fashion, self-propagates in a fluid due to a non-reciprocal Stokesian flow field. The latter arises from the difference in the coasting times of the two constitutive beads. This asymmetry acts as a second degree of freedom, recovering the scallop theorem at the mesoscopic scale.
Cite
@article{arxiv.2008.08305,
title = {The Scallop Theorem and Swimming at the Mesoscale},
author = {Maxime Hubert and Oleg Trosman and Ylona Collard and Alexander Sukhov and Jens Harting and Nicolas Vandewalle and Ana-Suncana Smith},
journal= {arXiv preprint arXiv:2008.08305},
year = {2021}
}
Comments
Main article: 4 pages, 3 figures. SI (for methods and calculations): 7 pages, no figure, 1 movie