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Rotation of an immersed cylinder sliding near a thin elastic coating

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Title: Rotation of an immersed cylinder sliding near a thin elastic coating
Authors: Rallabandi, Bhargav Browse this author
Saintyves, Baudouin Browse this author
Jules, Theo Browse this author
Salez, Thomas Browse this author
Schönecker, Clarissa Browse this author
Mahadevan, L. Browse this author
Stone, Howard A. Browse this author
Issue Date: 17-Jul-2017
Publisher: American Physical Society
Journal Title: Physical Review Fluids
Volume: 2
Start Page: 074102-1
End Page: 074102-18
Publisher DOI: 10.1103/PhysRevFluids.2.074102
Abstract: It is known that an object translating parallel to a soft wall in a viscous fluid produces hydrodynamic stresses that deform the wall, which in turn results in a lift force on the object. Recent experiments with cylinders sliding under gravity near a soft incline, which confirmed theoretical arguments for the lift force, also reported an unexplained steady-state rotation of the cylinders [B. Saintyves et al., Proc. Natl. Acad. Sci. USA 113, 5847 (2016)]. Motivated by these observations, we show, in the lubrication limit, that an infinite cylinder that translates in a viscous fluid parallel to a soft wall at constant speed and separation distance must also rotate in order to remain free of torque. Using the Lorentz reciprocal theorem, we show analytically that for small deformations of the elastic layer, the angular velocity of the cylinder scales with the cube of the sliding speed. These predictions are confirmed numerically. We then apply the theory to the gravity-driven motion of a cylinder near a soft incline and find qualitative agreement with the experimental observations, namely, that a softer elastic layer results in a greater angular speed of the cylinder.
Rights: ©2017 American Physical Society
Type: article
Appears in Collections:国際連携研究教育局 : GI-CoRE (Global Institution for Collaborative Research and Education : GI-CoRE) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)


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