Handle URI:
http://hdl.handle.net/10754/600021
Title:
Three-sphere swimmer in a nonlinear viscoelastic medium
Authors:
Curtis, Mark P.; Gaffney, Eamonn A.
Abstract:
A simple model for a swimmer consisting of three colinearly linked spheres attached by rods and oscillating out of phase to break reciprocal motion is analyzed. With a prescribed forcing of the rods acting on the three spheres, the swimming dynamics are determined analytically in both a Newtonian Stokes fluid and a zero Reynolds number, nonlinear, Oldroyd-B viscoelastic fluid with Deborah numbers of order one (or less), highlighting the effects of viscoelasticity on the net displacement of swimmer. For instance, the model predicts that the three-sphere swimmer with a sinusoidal, but nonreciprocal, forcing cycle within an Oldroyd-B representation of a polymeric Boger fluid moves a greater distance with enhanced efficiency in comparison with its motility in a Newtonian fluid of the same viscosity. Furthermore, the nonlinear contributions to the viscoelastic constitutive relation, while dynamically nontrivial, are predicted a posteriori to have no effect on swimmer motility at leading order, given a prescribed forcing between spheres. © 2013 American Physical Society.
Citation:
Curtis MP, Gaffney EA (2013) Three-sphere swimmer in a nonlinear viscoelastic medium. Phys Rev E 87. Available: http://dx.doi.org/10.1103/PhysRevE.87.043006.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
10-Apr-2013
DOI:
10.1103/PhysRevE.87.043006
PubMed ID:
23679512
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We are grateful to Qixuan Wang (School of Mathematics, University of Minnesota) for discussions in the early phases of this work.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorCurtis, Mark P.en
dc.contributor.authorGaffney, Eamonn A.en
dc.date.accessioned2016-02-28T06:34:30Zen
dc.date.available2016-02-28T06:34:30Zen
dc.date.issued2013-04-10en
dc.identifier.citationCurtis MP, Gaffney EA (2013) Three-sphere swimmer in a nonlinear viscoelastic medium. Phys Rev E 87. Available: http://dx.doi.org/10.1103/PhysRevE.87.043006.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23679512en
dc.identifier.doi10.1103/PhysRevE.87.043006en
dc.identifier.urihttp://hdl.handle.net/10754/600021en
dc.description.abstractA simple model for a swimmer consisting of three colinearly linked spheres attached by rods and oscillating out of phase to break reciprocal motion is analyzed. With a prescribed forcing of the rods acting on the three spheres, the swimming dynamics are determined analytically in both a Newtonian Stokes fluid and a zero Reynolds number, nonlinear, Oldroyd-B viscoelastic fluid with Deborah numbers of order one (or less), highlighting the effects of viscoelasticity on the net displacement of swimmer. For instance, the model predicts that the three-sphere swimmer with a sinusoidal, but nonreciprocal, forcing cycle within an Oldroyd-B representation of a polymeric Boger fluid moves a greater distance with enhanced efficiency in comparison with its motility in a Newtonian fluid of the same viscosity. Furthermore, the nonlinear contributions to the viscoelastic constitutive relation, while dynamically nontrivial, are predicted a posteriori to have no effect on swimmer motility at leading order, given a prescribed forcing between spheres. © 2013 American Physical Society.en
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We are grateful to Qixuan Wang (School of Mathematics, University of Minnesota) for discussions in the early phases of this work.en
dc.publisherAmerican Physical Society (APS)en
dc.titleThree-sphere swimmer in a nonlinear viscoelastic mediumen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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