A two-dimensional model of low-Reynolds number swimming beneath a free surface

Details A two-dimensional model of low-Reynolds number swimming beneath a free surface A two-dimensional model of low-Reynolds number swimming beneath a free surface

2010-03-23

arxiv.org/abs/1003.4461v1

J. Fluid Mech. (2011) 681, 24-47

Physics

Fluid Dynamics

Scientific paper

10.1017/jfm.2011.223

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.

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