Theory of swimming filaments in viscoelastic media

Details Theory of swimming filaments in viscoelastic media Theory of swimming filaments in viscoelastic media

2007-07-31

arxiv.org/abs/0707.4611v1

Phys. Rev. Lett., 99, 258101 (2007)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.99.258101

Motivated by the swimming of sperm in the non-Newtonian fluids of the female mammalian reproductive tract, we examine the swimming of filaments in the nonlinear viscoelastic Upper Convected Maxwell model. We obtain the swimming velocity and hydrodynamic force exerted on an infinitely long cylinder with prescribed beating pattern. We use these results to examine the swimming of a simplified sliding-filament model for a sperm flagellum. Viscoelasticity tends to decrease swimming speed, and changes in the beating patterns due to viscoelasticity can reverse swimming direction.

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