Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations

@article{Spagnolie2012HydrodynamicsOS,
  title={Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations},
  author={Saverio E. Spagnolie and Eric Lauga},
  journal={Journal of Fluid Mechanics},
  year={2012},
  volume={700},
  pages={105 - 147}
}
Abstract The swimming trajectories of self-propelled organisms or synthetic devices in a viscous fluid can be altered by hydrodynamic interactions with nearby boundaries. We explore a multipole description of swimming bodies and provide a general framework for studying the fluid-mediated modifications to swimming trajectories. A general axisymmetric swimmer is described as a linear combination of fundamental solutions to the Stokes equations: a Stokeslet dipole, a source dipole, a Stokeslet… 
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References

SHOWING 1-10 OF 87 REFERENCES

Modeling simple locomotors in Stokes flow

Hydrodynamic interaction of two swimming model micro-organisms

In order to understand the rheological and transport properties of a suspension of swimming micro-organisms, it is necessary to analyse the fluid-dynamical interaction of pairs of such swimming…

Dynamics of confined suspensions of swimming particles

Low Reynolds number direct simulations of large populations of hydrodynamically interacting swimming particles confined between planar walls indicate either that correlated motion of the swimmers is not significant at the concentrations considered or that the fluid phase autocorrelation is not a sensitive measure of the correlated motion.

Modelling bacterial behaviour close to a no-slip plane boundary: the influence of bacterial geometry

Using a boundary-element method used to model the hydrodynamics of a bacterium propelled by a single helical flagellum, it is demonstrated that hydrodynamic forces may trap the bacterium in a stable, circular orbit near the boundary, leading to the empirical observable surface accumulation of bacteria.

Jet propulsion without inertia

A body immersed in a highly viscous fluid can locomote by drawing in and expelling fluid through pores at its surface. We consider this mechanism of jet propulsion without inertia in the case of…

Analysis of the swimming of microscopic organisms

  • G. Taylor
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1951
Large objects which propel themselves in air or water make use of inertia in the surrounding fluid. The propulsive organ pushes the fluid backwards, while the resistance of the body gives the fluid a…

Propulsion by passive filaments and active flagella near boundaries.

  • Arthur A. EvansE. Lauga
  • Biology, Engineering
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2010
It is shown that in some cases, the increase in fluid friction induced by the wall can lead to a change in the waveform expressed by the flagella, which results in a decrease in their propulsive force.

Helical distributions of stokeslets

Previous biomechanical studies of modes of locomotion are extended to include analyses of three-dimensional flow fields and, in some cases, a rotlet field (curl of a stokeslet) needs to be incorporated in the models.

Dispersion of biased swimming micro-organisms in a fluid flowing through a tube

  • M. BeesO. A. Croze
  • Engineering
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2010
Classical Taylor–Aris dispersion theory is extended to describe the transport of suspensions of self-propelled dipolar cells in a tubular flow and can be applied to particular models of swimming micro-organisms, and thus be used to predict swimming Drift and diffusion in tubular bioreactors, and to elucidate competing unbounded swimming drift and diffusion descriptions.

Self-propelled rods near surfaces

We study the behavior of self-propelled nano- and micro-rods in three dimensions, confined between two parallel walls, by simulations and scaling arguments. Our simulations include thermal…
...