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Angular velocity of a sphere in a simple shear at small Reynolds number
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-2346-7063
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2016 (English)In: PHYSICAL REVIEW FLUIDS, ISSN 2469-990X, Vol. 1, no 8, article id 084203Article in journal (Refereed) Published
Abstract [en]

We analyze the angular velocity of a small neutrally buoyant spheroid log rolling in a simple shear. When the effect of fluid inertia is negligible the angular velocity. equals half the fluid vorticity. We compute by singular perturbation theory how weak fluid inertia reduces the angular velocity in an unbounded shear, and how this reduction depends upon the shape of the spheroid (on its aspect ratio). In addition we determine the angular velocity by direct numerical simulations. The results are in excellent agreement with the theory at small but not too small values of the shear Reynolds number Res, for all aspect ratios considered. For the special case of a sphere we find omega/s = -1/2 + 0.0540 Re-s(3/2) where s is the shear rate. The O( Re-s(3/2)) correction differs from that derived by Lin et al. who obtained a numerical coefficient roughly three times larger.

Place, publisher, year, edition, pages
university of teheran , 2016. Vol. 1, no 8, article id 084203
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Physical Sciences
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URN: urn:nbn:se:kth:diva-199734DOI: 10.1103/PhysRevFluids.1.084203ISI: 000390346800002Scopus ID: 2-s2.0-85030559864OAI: oai:DiVA.org:kth-199734DiVA, id: diva2:1068507
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QC 20180214

Available from: 2017-01-25 Created: 2017-01-16 Last updated: 2018-02-14Bibliographically approved

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Rosén, TomasLundell, Fredrik

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