Sediment motion induced by Faraday waves in a Hele-Shaw cell

Román A Martino (1, 2) , Alejandro Boschan (2, 1) , Diego Barba (2, 3) , Gustavo Bongiovanni (2) , Jean-Christophe Géminard (4) , Marcelo Piva (2)

1 CONICET - Consejo Nacional de Investigaciones Científicas y Técnicas [Buenos Aires]
2 GMP - Grupo de Medios Porosos [Buenos Aires]
3 ESPOCH - Escuela Superior Politécnica de Chimborazo
4 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

The interaction between the oscillatory boundary-layer flow induced by Faraday waves and a sedimentary granular layer was studied in a Hele-Shaw cell vertically vibrated. The experimental parameters were the vibration frequency f and acceleration a, and the particle diameter d_p. At a critical value for the depth of the supernatant fluid layer, ∆h_c, it was observed a transition between a flat motionless granular layer and a second regime in which the granular layer undulates and oscillates periodically. For the smallest value of dp (for which the Stokes number was St << 1) the reduced acceleration Γ = a/g (g is the acceleration of gravity) is independent on ∆h_c, while for the larger ones, Γ depends linearly on ∆h_c. Finally, it is shown that at the onset of grains motion, the wave velocity V_w = h_w f /2 (hw is the wave amplitude) depends linearly on ∆h_c and is independent of d_p.

Domaines: Physique Générale [physics.gen-ph]; Dynamique des Fluides [physics.flu-dyn]

Román A Martino, Alejandro Boschan, Diego Barba, Gustavo Bongiovanni, Jean-Christophe Géminard, et al.. Sediment motion induced by Faraday waves in a Hele-Shaw cell. Physical Review E , In press. ⟨hal-02529015v1⟩