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Elastohydrodynamic wake and wave resistance

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Title: Elastohydrodynamic wake and wave resistance
Authors: Arutkin, Maxence Browse this author
Ledesma-Alonso, René Browse this author
Salez, Thomas Browse this author
Raphaël, Élie Browse this author
Keywords: thin films
Issue Date: 25-Oct-2017
Publisher: Cambridge University Press
Journal Title: Journal of fluid mechanics
Volume: 829
Start Page: 538
End Page: 550
Publisher DOI: 10.1017/jfm.2017.584
Abstract: The dynamics of a thin elastic sheet lubricated by a narrow layer of liquid is relevant to various situations and length scales. As a continuation of our previous work on viscous wakes (Ledesma-Alonso et al., J. Fluid Mech., vol. 792, 2016, pp. 829-849), we study theoretically the effects of an external pressure disturbance moving at constant speed along the surface of a thin lubricated elastic sheet. In the comoving frame, the imposed pressure field creates a stationary deformation of the free interface that spatially vanishes in the far-field region. The shape of the wake and the way it decays depend on the speed and size of the external disturbance, as well as the rheological properties of both the elastic and liquid layers. The wave resistance, namely the force that has to be externally furnished in order to maintain the wake, is analysed in detail.
Type: article (author version)
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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