Academic Commons

Articles

Flexive and Propulsive Dynamics of Elastica at Low Reynolds Number

Wiggins, Chris H.; Goldstein, Raymond E.

A stiff one-armed swimmer in glycerine goes nowhere. However, if its arm is elastic, the swimmer can go on its way. Quantifying this observation, we study a hyperdiffusion equation for the shape of the elastica in a viscous fluid, 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 experiments measuring biopolymer bending moduli to instabilities of twisted elastic filaments.

Files

Also Published In

Title
Physical Review Letters
DOI
https://doi.org/10.1103/PhysRevLett.80.3879

More About This Work

Academic Units
Applied Physics and Applied Mathematics
Publisher
American Physical Society
Published Here
September 19, 2014