Arrêt d'un écoulement granulaire sur une pente faible

Abstract

A ridge of sand, with initial angles ± θ_i (smaller than the angle of repose θ_r) is fed by a source of flux 2Q. We discuss here the theoretical profile achieved after a time t, using the equations of Bouchaud et al. in their original form, and also in a modified form which might apply for strong flows. The result is a central heap, steeper than the original ridge, of slope close to θ_r. The horizontal span is predicted to be x_m = (2Dt)^1/2, with an apparent diffusion coefficient D = Q/(θ_r − θ_i).