Stirring by swimming bodies

Details Stirring by swimming bodies Stirring by swimming bodies

2009-11-29

arxiv.org/abs/0911.5511v2

Physics Letters A 374, 3487-3490 (2010)

Physics

Fluid Dynamics

5 pages, 5 figures. PDFLaTeX with RevTeX 4 macros. Final version

Scientific paper

10.1016/j.physleta.2010.06.043

We consider the stirring of an inviscid fluid caused by the locomotion of bodies through it. The swimmers are approximated by non-interacting cylinders or spheres moving steadily along straight lines. We find the displacement of fluid particles caused by the nearby passage of a swimmer as a function of an impact parameter. We use this to compute the effective diffusion coefficient from the random walk of a fluid particle under the influence of a distribution of swimming bodies. We compare with the results of simulations. For typical sizes, densities and swimming velocities of schools of krill, the effective diffusivity in this model is five times the thermal diffusivity. However, we estimate that viscosity increases this value by two orders of magnitude.

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