Abstract

We investigate the effects of boundary conditions on the surface of self-propelled spherical swimmers moving in a viscous fluid with a low Reynolds number. We first show that collisions between the swimmers are impossible under the commonly used no-slip conditions. Next we demonstrate that collisions do occur if the more general Navier boundary conditions, allowing for a finite slip on the surface that produces drag, are imposed on the boundary of swimmers. The presence of a small inertia for each swimmer does not influence whether collisions occur between swimmers.

Original languageEnglish (US)
Article number053005
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number5
DOIs
StatePublished - May 9 2013

Fingerprint

viscous fluids
Viscous Fluid
Collision
collisions
slip
boundary conditions
Boundary conditions
Slip Condition
Low Reynolds number
low Reynolds number
Drag
inertia
Slip
Inertia
drag
Demonstrate

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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title = "Collision of microswimmers in a viscous fluid",
abstract = "We investigate the effects of boundary conditions on the surface of self-propelled spherical swimmers moving in a viscous fluid with a low Reynolds number. We first show that collisions between the swimmers are impossible under the commonly used no-slip conditions. Next we demonstrate that collisions do occur if the more general Navier boundary conditions, allowing for a finite slip on the surface that produces drag, are imposed on the boundary of swimmers. The presence of a small inertia for each swimmer does not influence whether collisions occur between swimmers.",
author = "M. Potomkin and V. Gyrya and I. Aranson and L. Berlyand",
year = "2013",
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doi = "10.1103/PhysRevE.87.053005",
language = "English (US)",
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journal = "Physical Review E",
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Collision of microswimmers in a viscous fluid. / Potomkin, M.; Gyrya, V.; Aranson, I.; Berlyand, L.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 87, No. 5, 053005, 09.05.2013.

Research output: Contribution to journalArticle

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