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arXiv · cond-mat/9707346

Flexive and Propulsive Dynamics of Elastica at Low Reynolds Numbers

Chris H. Wiggins·Raymond E. Goldstein
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Abstract

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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BibTeXRIS

Chris H. Wiggins, Raymond E. Goldstein. 1997-07-31. Flexive and Propulsive Dynamics of Elastica at Low Reynolds Numbers. https://doi.org/10.1103/physrevlett.80.3879

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