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Rotation of an immersed cylinder sliding near a thin elastic coating

PhysRevFluids.2.074102.pdf387.4 kBPDF見る/開く

タイトル: Rotation of an immersed cylinder sliding near a thin elastic coating
著者: Rallabandi, Bhargav 著作を一覧する
Saintyves, Baudouin 著作を一覧する
Jules, Theo 著作を一覧する
Salez, Thomas 著作を一覧する
Schönecker, Clarissa 著作を一覧する
Mahadevan, L. 著作を一覧する
Stone, Howard A. 著作を一覧する
発行日: 2017年 7月17日
出版者: American Physical Society
誌名: Physical Review Fluids
巻: 2
開始ページ: 074102-1
終了ページ: 074102-18
出版社 DOI: 10.1103/PhysRevFluids.2.074102
抄録: 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
資料タイプ: article
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)



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