Taberlet Nicolas, Richard Patrick, Hinch E John
GMCM, Université Rennes 1, CNRS UMR 6626, Batiment 11A, 35042 Rennes, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 May;73(5 Pt 1):050301. doi: 10.1103/PhysRevE.73.050301. Epub 2006 May 16.
The shape of a granular pile in a rotating drum is investigated. Using discrete elements method (DEM) simulations we show that the "S shape" obtained for high rotation speed can be accounted for by the friction on the end plates. A theoretical model which accounts for the effect of the end plates is presented and the equation of the shape of the free surface is derived. The model reveals a dimensionless number which quantifies the influence of the end plates on the shape of the pile. Finally, the scaling laws of the system are discussed and numerical results support our conclusions.
研究了转鼓中颗粒堆的形状。通过离散元法（DEM）模拟，我们表明高转速下获得的“S形”可由端板上的摩擦力来解释。提出了一个考虑端板影响的理论模型，并推导了自由表面形状的方程。该模型揭示了一个无量纲数，它量化了端板对颗粒堆形状的影响。最后，讨论了系统的标度律，数值结果支持了我们的结论。
