Flexive and Propulsive Dynamics of Elastica at Low Reynolds Numbers

Details Flexive and Propulsive Dynamics of Elastica at Low Reynolds Numbers Flexive and Propulsive Dynamics of Elastica at Low Reynolds Numbers

1997-07-31

arxiv.org/abs/cond-mat/9707346v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 eps figs, RevTeX, submitted to PRL

Scientific paper

10.1103/PhysRevLett.80.3879

A stiff one-armed swimmer in glycerine goes nowhere, but if its arm is elastic, exerting a restorative torque proportional to local curvature, the swimmer can go on its way. Considering this happy consequence and the principles of elasticity, we study a hyperdiffusion equation for the shape of the elastica in viscous flow, find solutions for impulsive or oscillatory forcing, and elucidate relevant aspects of propulsion. These results have application in a variety of physical and biological contexts, from dynamic biopolymer bending experiments to instabilities of elastic filaments.

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