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

  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},
  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… 

Swimming trajectories of a three-sphere microswimmer near a wall.

The general three-dimensional motion can be mapped onto a quasi-two-dimensional representational model by an appropriate redefinition of the order parameters governing the transition between the swimming states and allow for an accurate description of the swimming behavior near a wall.

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The interaction of motile micro-organisms with a nearby solid substrate is a well-studied phenomenon. However, the effects of hydrodynamic slippage on the substrate have received little attention. In

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Confined suspensions of active particles show peculiar dynamics characterized by wall accumulation, as well as upstream swimming, centreline depletion and shear trapping when a pressure-driven flow

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Insights from the current work suggest that biological and artificial swimmers sense their surroundings through long-ranged interactions, that can be modified by altering the surface properties.

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We study the effect of a no-slip rigid boundary on the dynamics of a flexible helical filament rotating in a viscous fluid, at low Reynolds number conditions (Stokes limit). This system is taken as a

Dynamics of a flexible helical filament rotating in a viscous fluid near a rigid boundary

We study the effect of a no-slip rigid boundary on the dynamics of a flexible helical filament rotating in a viscous fluid, at low Reynolds number conditions (Stokes limit). This system is taken as a

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Hydrodynamic mobility reversal of squirmers near flat and curved surfaces.

This work theoretically and numerically investigates the behavior for a hydrodynamic squirmer interacting with spherical objects and flat walls using three different methods of approximately solving the Stokes equations, and concludes that lubrication theory suggests that only hovering is a stable point for the dynamics.

Modelling the mechanics and hydrodynamics of swimming E. coli.

The swimming properties of an E. coli-type model bacterium are investigated by mesoscale hydrodynamic simulations and it is found that counterrotation of the cell body and the flagella is essential for describing the near-field hydrodynamics of the bacterium.

Hydrodynamic interaction of a self-propelling particle with a wall

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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

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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.

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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