A two-dimensional model of low-Reynolds number swimming beneath a free surface
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Hosoi_A two-dimensional.pdf
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Author(s)
Crowdy, Darren
Lee, Sungyon
Samson, Ophir
Lauga, Eric
Hosoi, Anette E.
Date Issued
June 2011
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press
Citation
Crowdy, Darren et al. “A Two-dimensional Model of low-Reynolds Number Swimming Beneath a Free Surface.” Journal of Fluid Mechanics 681 (2011): 24–47.
Version
Author's final manuscript
Abstract
Biological organisms swimming at low-Reynolds number are often influenced by the presence of rigid boundaries and soft interfaces. In this paper, we present an analysis of locomotion near a free surface with surface tension. Using a simplified two-dimensional singularity model and combining a complex variable approach with conformal mapping techniques, we demonstrate that the deformation of a free surface can be harnessed to produce steady locomotion parallel to the interface. The crucial physical ingredient lies in the nonlinear hydrodynamic coupling between the disturbance flow created by the swimmer and the free boundary problem at the fluid surface.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1017/jfm.2011.223
