Flow-induced vibrations of high mass ratio flexible filaments freely hanging in a flow

Lionel Schouveiler (1) , Christophe Eloy (1) , Patrice Le Gal (1)

1 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre

The behavior of high mass ratio flexible filaments freely hanging in steady horizontal uniform flows is experimentally and theoretically investigated. When the flow velocity is small, static equilibrium states, where the filaments are inclined to the flow, are observed. Then, above a critical value of the wind velocity, the filaments exhibit periodic oscillations in the vertical plane. The problem is theoretically addressed considering the beam theory equations for the filament dynamics where the action of the flowing fluid is modeled using semi-empirical expressions. These equations are first solved for the stationary equilibrium states. Then, the stability of these steady solutions relatively to small perturbations is analyzed. A good agreement between experimental and theoretical results is found.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Lionel Schouveiler, Christophe Eloy, Patrice Le Gal. Flow-induced vibrations of high mass ratio flexible filaments freely hanging in a flow. Physics of Fluids, 2005, 17, pp.Art. 047104. ⟨10.1063/1.1878292⟩. ⟨hal-00014491⟩