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The many-body reciprocal theorem and swimmer hydrodynamics
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Papavassiliou, Dario and Alexander, Gareth P. (2015) The many-body reciprocal theorem and swimmer hydrodynamics. EPL (Europhysics Letters), Volume 110 (Number 4). pp. 1-6. 44001. doi:10.1209/0295-5075/110/44001 ISSN 0295-5075.
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Official URL: http://dx.doi.org/10.1209/0295-5075/110/44001
Abstract
We present a reinterpretation and extension of the reciprocal theorem for swimmers, extending its application from the motion of a single swimmer in an unbounded domain to the general setting, giving results for both swimmer interactions and general hydrodynamics. We illustrate the method for a squirmer near a planar surface, recovering standard literature results and extending them to a general squirming set, to motion in the presence of a ciliated surface, and expressions for the flow field throughout the domain. Finally, we present exact results for the hydrodynamics in two dimensions which shed light on the near-field behaviour.
| Item Type: | Journal Article | ||||||||
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| Subjects: | G Geography. Anthropology. Recreation > GV Recreation Leisure Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Physics |
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| Library of Congress Subject Headings (LCSH): | Hydrodynamics, Microorganisms -- Motility | ||||||||
| Journal or Publication Title: | EPL (Europhysics Letters) | ||||||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||||||
| ISSN: | 0295-5075 | ||||||||
| Official Date: | 3 June 2015 | ||||||||
| Dates: |
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| Volume: | Volume 110 | ||||||||
| Number: | Number 4 | ||||||||
| Number of Pages: | 6 | ||||||||
| Page Range: | pp. 1-6 | ||||||||
| Article Number: | 44001 | ||||||||
| DOI: | 10.1209/0295-5075/110/44001 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 29 December 2015 | ||||||||
| Date of first compliant Open Access: | 29 December 2015 | ||||||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
| Grant number: | A.MACX.0002 (EPSRC) | ||||||||
| Open Access Version: |
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