The many-body reciprocal theorem and swimmer hydrodynamics
Soft Condensed Matter
2016-07-05 v1 Fluid Dynamics
Abstract
We present a reinterpretation and extension of the reciprocal theorem for swimmers, extending its application from the motion of a single swimmer in an unbounded domain to the general setting, giving results for both swimmer interactions and general hydrodynamics. We illustrate the method for a squirmer near a planar surface, recovering standard literature results and extending them to a general squirming set, to motion in the presence of a ciliated surface, and expressions for the flow field throughout the domain. Finally, we present exact results for the hydrodynamics in two dimensions which shed light on the near-field behaviour.
Keywords
Cite
@article{arxiv.1503.08422,
title = {The many-body reciprocal theorem and swimmer hydrodynamics},
author = {Dario Papavassiliou and Gareth P. Alexander},
journal= {arXiv preprint arXiv:1503.08422},
year = {2016}
}
Comments
6 pages, 6 figures