Stirring by swimming bodies
arXiv:0911.5511 · doi:10.1016/j.physleta.2010.06.043
Abstract
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.
5 pages, 5 figures. PDFLaTeX with RevTeX 4 macros. Final version
References in corpus (1)
Cited by in corpus (28)
- Active Particles in Complex and Crowded Environments
- Stirring by squirmers
- Induced Diffusion of Tracers in a Bacterial Suspension: Theory and Experiments
- Optimal feeding is optimal swimming for all Péclet numbers
- Entrainment dominates the interaction of microalgae with micron-sized objects
- Particle diffusion in active fluids is non-monotonic in size
- Fluid transport by individual microswimmers
- Distribution of particle displacements due to swimming microorganisms
- Tracer diffusion in active suspensions
- Nutrient transport driven by microbial active carpets
- Collective entrainment and confinement amplify transport by schooling micro-swimmers
- Do small swimmers mix the ocean?
- Fluid transport and mixing by an unsteady microswimmer
- Lattice-Boltzmann Simulations of Microswimmer-Tracer Interactions
- Swimming suppresses correlations in dilute suspensions of pusher microorganisms
- Stochastic Kinetic Theory for Collective Behavior of Hydrodynamically Interacting Active Particles
- Anisotropic diffusion of ellipsoidal tracers in microswimmer suspensions
- Unsteady chiral swimmer in presence of an external chemical gradient
- Stirring by Periodic Arrays of Microswimmers
- Anomalous diffusion in fast cellular flows at intermediate time scales
- Sedimentation dynamics of passive particles in dilute bacterial suspensions: emergence of bioconvection
- Influence of thermal fluctuations on active diffusion at large Péclet numbers
- Janus microswimmers are poor hydrodynamic mixers
- Wake Effects on Drift in Two-Dimensional Inviscid Incompressible Flows
- Interplay between Brownian and hydrodynamic tracer diffusion in suspensions of swimming microorganisms
- Drift Due to Two Obstacles in Different Arrangements
- Magnetic signature of vertically migrating aggregations in the ocean
- Stirring by multi-cylinder in potential flow