Journal
PHYSICS LETTERS A
Volume 374, Issue 34, Pages 3487-3490Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2010.06.043
Keywords
Biomixing; Chaotic mixing; Enhanced diffusion
Categories
Funding
- NSF at WHOI [DMS-0507615, DMS-0806821]
- ONR at WHOI
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0806821] Funding Source: National Science Foundation
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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. (C) 2010 Elsevier B.V. All rights reserved.
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