The three sphere swimmer in a nonlinear viscoelastic medium
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 St...
| المؤلفون الرئيسيون: | , |
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| التنسيق: | Journal article |
| منشور في: |
American Physical Society
2013
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| _version_ | 1826259166027579392 |
|---|---|
| author | Curtis, M Gaffney, E |
| author_facet | Curtis, M Gaffney, E |
| author_sort | Curtis, M |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T18:45:34Z |
| format | Journal article |
| id | oxford-uuid:0e638376-71c3-4c56-b05d-922df7b2b07f |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:45:34Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:0e638376-71c3-4c56-b05d-922df7b2b07f2022-03-26T09:45:41ZThe three sphere swimmer in a nonlinear viscoelastic mediumJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0e638376-71c3-4c56-b05d-922df7b2b07fMathematical Institute - ePrintsAmerican Physical Society2013Curtis, MGaffney, EA 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. |
| spellingShingle | Curtis, M Gaffney, E The three sphere swimmer in a nonlinear viscoelastic medium |
| title | The three sphere swimmer in a nonlinear viscoelastic medium |
| title_full | The three sphere swimmer in a nonlinear viscoelastic medium |
| title_fullStr | The three sphere swimmer in a nonlinear viscoelastic medium |
| title_full_unstemmed | The three sphere swimmer in a nonlinear viscoelastic medium |
| title_short | The three sphere swimmer in a nonlinear viscoelastic medium |
| title_sort | three sphere swimmer in a nonlinear viscoelastic medium |
| work_keys_str_mv | AT curtism thethreesphereswimmerinanonlinearviscoelasticmedium AT gaffneye thethreesphereswimmerinanonlinearviscoelasticmedium AT curtism threesphereswimmerinanonlinearviscoelasticmedium AT gaffneye threesphereswimmerinanonlinearviscoelasticmedium |