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Rotation of a spheroid in a simple shear at small Reynolds number
KTH, School of Engineering Sciences (SCI), Mechanics, Fluid Physics.
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2015 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 27, no 6, 063301Article in journal (Refereed) Published
Abstract [en]

We derive an effective equation of motion for the orientational dynamics of a neutrally buoyant spheroid suspended in a simple shear flow, valid for arbitrary particle aspect ratios and to linear order in the shear Reynolds number. We show how inertial effects lift the degeneracy of the Jeffery orbits and determine the stabilities of the log-rolling and tumbling orbits at infinitesimal shear Reynolds numbers. For prolate spheroids, we find stable tumbling in the shear plane and log-rolling is unstable. For oblate spheroids, by contrast, log-rolling is stable and tumbling is unstable provided that the particle is not too disk-like (moderate asphericity). For very flat oblate spheroids, both log-rolling and tumbling are stable, separated by an unstable limit cycle.

Place, publisher, year, edition, pages
2015. Vol. 27, no 6, 063301
National Category
Fluid Mechanics and Acoustics
URN: urn:nbn:se:kth:diva-172501DOI: 10.1063/1.4921543ISI: 000357688800024ScopusID: 2-s2.0-84930958465OAI: diva2:848563
Swedish Research CouncilGöran Gustafsson Foundation for Research in Natural Sciences and Medicine

QC 20150825

Available from: 2015-08-25 Created: 2015-08-25 Last updated: 2015-08-25Bibliographically approved

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Lundell, Fredrik
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