Exact geometric theory for flexible, fluid-conducting tubes

Abstract : Instability of flexible tubes conducting fluid, or “garden hose instability”, is a phenomenon both familiar from everyday life and important for applications, which has been actively studied. However, previous works did not consider one of the most crucial physical effects — the dynamical change of the cross-section. We show how to consistently address this issue by coupling the geometrically exact rod dynamics with the fluid motion via the use of a constrained Hamilton's variational principle. We find strong effect of this dynamics on stability, and derive a variety of exact nonlinear solutions of traveling-wave type.
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https://hal-polytechnique.archives-ouvertes.fr/hal-01083637
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Submitted on : Monday, November 17, 2014 - 4:14:14 PM
Last modification on : Tuesday, May 14, 2019 - 10:10:13 AM

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François Gay-Balmaz, Vakhtang Putkaradze. Exact geometric theory for flexible, fluid-conducting tubes. Comptes Rendus Mécanique, Elsevier Masson, 2014, 342 (2), pp.79-84. ⟨10.1016/j.crme.2014.01.001⟩. ⟨hal-01083637⟩

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