Swimming Dynamics Near a Wall in a Weakly Elastic Fluid

S. Yazdi, A. M. Ardekani, Ali Borhan

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We present a fully resolved solution of a low-Reynolds-number two-dimensional microswimmer in a weakly elastic fluid near a no-slip surface. The results illustrate that elastic properties of the background fluid dramatically alter the swimming hydrodynamics and, depending on the initial position and orientation of the microswimmer, its residence time near the surface can increase by an order of magnitude. Elasticity of the extracellular polymeric substance secreted by microorganisms can therefore enhance their adhesion rate. The dynamical system is examined through a phase portrait in the swimming orientation and distance from the wall for four types of self-propulsion mechanisms, namely: neutral swimmers, pullers, pushers, and stirrers. The time-reversibility of the phase portraits breaks down in the presence of polymeric materials. The elasticity of the fluid leads to the emergence of a limit cycle for pullers and pushers and the change in type of fixed points from center to unstable foci for a microswimmer adjacent to a no-slip boundary.

Original languageEnglish (US)
Pages (from-to)1153-1167
Number of pages15
JournalJournal of Nonlinear Science
Volume25
Issue number5
DOIs
StatePublished - Oct 4 2015

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Phase Portrait
Fluid
Slip
Fluids
Elasticity
Time Reversibility
Residence Time
Microorganisms
Low Reynolds number
Elastic Properties
Adhesion
Limit Cycle
Propulsion
Breakdown
Hydrodynamics
Dynamical systems
Reynolds number
Adjacent
Dynamical system
Unstable

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering(all)
  • Applied Mathematics

Cite this

Yazdi, S. ; Ardekani, A. M. ; Borhan, Ali. / Swimming Dynamics Near a Wall in a Weakly Elastic Fluid. In: Journal of Nonlinear Science. 2015 ; Vol. 25, No. 5. pp. 1153-1167.
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Swimming Dynamics Near a Wall in a Weakly Elastic Fluid. / Yazdi, S.; Ardekani, A. M.; Borhan, Ali.

In: Journal of Nonlinear Science, Vol. 25, No. 5, 04.10.2015, p. 1153-1167.

Research output: Contribution to journalArticle

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AU - Borhan, Ali

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AB - We present a fully resolved solution of a low-Reynolds-number two-dimensional microswimmer in a weakly elastic fluid near a no-slip surface. The results illustrate that elastic properties of the background fluid dramatically alter the swimming hydrodynamics and, depending on the initial position and orientation of the microswimmer, its residence time near the surface can increase by an order of magnitude. Elasticity of the extracellular polymeric substance secreted by microorganisms can therefore enhance their adhesion rate. The dynamical system is examined through a phase portrait in the swimming orientation and distance from the wall for four types of self-propulsion mechanisms, namely: neutral swimmers, pullers, pushers, and stirrers. The time-reversibility of the phase portraits breaks down in the presence of polymeric materials. The elasticity of the fluid leads to the emergence of a limit cycle for pullers and pushers and the change in type of fixed points from center to unstable foci for a microswimmer adjacent to a no-slip boundary.

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