Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/96110
Citations
Scopus Web of Science® Altmetric
?
?
Full metadata record
DC FieldValueLanguage
dc.contributor.authorClarke, R.en
dc.contributor.authorFinn, M.en
dc.contributor.authorMacDonald, M.en
dc.date.issued2014en
dc.identifier.citationProceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 2014; 470(2167):20130508-1-20130508-21en
dc.identifier.issn1364-5021en
dc.identifier.issn1471-2946en
dc.identifier.urihttp://hdl.handle.net/2440/96110-
dc.description.abstractIn this study, we consider suspensions of swimming microorganisms in situations where we might expect the promotion of two-dimensional flow, such as within thin fluid films. Given that two-dimensional, inertialess flows are notoriously long-ranged (although not afflicted by Stokes paradox in the case of self-motile bodies), this raises interesting questions around the care which must be taken with the semi-dilute assumption in such situations. Adopting the prototype squirmer as a model of a swimming microorganisms of the type previously considered, we find that although the flowfield decays algebraically with the characteristic separation distance between microorganisms, there remains a finite interaction between the squirmers even at asymptotically large distances. This finding is further borne out by asymptotic analysis, which confirms that the limiting form of the far-field interaction depends solely upon the relative orientation between the microorganisms. Those which swim in the same general direction are seen to experience very large lateral displacements (many times the size of the displacements experienced owing to interactions between less well-aligned swimmers). This clearly has potential implications for very dilute suspensions in which squirmers become broadly aligned in their swimming direction (e.g. during chemotaxis). We show that hydrodynamically enhanced cell spreading, previously reported for denser suspensions, can persist even at extreme dilutions. Moreover, we demonstrate that this induced spreading can continue in the presence of potentially decohering Brownian effects.en
dc.description.statementofresponsibilityR. J. Clarke, M. D. Finn and M. MacDonalden
dc.language.isoenen
dc.publisherThe Royal Society of Londonen
dc.rights© 2014 The Author(s) Published by the Royal Society. All rights reserved.en
dc.subjectswimming microorganisms; squirmers; Brownian motionen
dc.titleHydrodynamic persistence within very dilute two-dimensional suspensions of squirmersen
dc.typeJournal articleen
dc.identifier.doi10.1098/rspa.2013.0508en
pubs.publication-statusPublisheden
Appears in Collections:Mathematical Sciences publications

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.