Minimal Model for Hydrodynamic Synchronization

Details Minimal Model for Hydrodynamic Synchronization Minimal Model for Hydrodynamic Synchronization

2009-04-15

arxiv.org/abs/0904.2347v2

Phys. Rev. E 80, 061919 (2009)

Physics

Condensed Matter

Soft Condensed Matter

23 pages, 9 figures

Scientific paper

10.1103/PhysRevE.80.061919

Motivated by the observed coordination of nearby beating cilia, we use a scale model experiment to show that hydrodynamic interactions can cause synchronization between rotating paddles driven at constant torque in a very viscous fluid. Synchronization is only observed when the shafts supporting the paddles have some flexibility. The phase difference in the synchronized state depends on the symmetry of the paddles. We use the method of regularized stokeslets to model the paddles and find excellent agreement with the experimental observations. We also use a simple analytic theory based on far-field approximations to derive scaling laws for the synchronization time as a function of paddle separation.

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