How sandpiles spill: Sandpile problem in a thick flow regime

Abstract

We obtain an analytical solution of a one-dimensional sandpile problem in a thick flow regime, when it can be formulated in terms of linear equations. It is shown that a space periodicity takes place during the sandpile evolution even for a sandpile of only one type of particles. Similar periodicity was observed previo usly for many component sandpiles. Space periods are proportional to an input flow of particles $r_0$. We find that the surface angle $\theta$ of the pile reaches it's final critical value (${\theta }_f$) from lower values only at long times. The deviation (${\theta }_f-\theta$) behaves as $(t/r_0{)}^{-1/2}$.

4 pages revtex (twocolumn), 3 figures

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Cited by in corpus (6)

• Experimental study of granular surface flows via a fast camera: a continuous description
• Sandpile formation by revolving rivers
• On two continuous models for the dynamics of sandpile surfaces
• Revolving rivers in sandpiles: from continuous to intermittent flows
• Evolution of a sandpile in a thick flow regime
• Traction of Interlocking Spikes on a Granular Material