弗劳德数
粒状材料
机械
水跃
缩放比例
标度律
跳跃
离散元法
统计物理学
剪切(物理)
颗粒物质
航程(航空)
经典力学
物理
流量(数学)
材料科学
地质学
岩土工程
数学
几何学
复合材料
量子力学
作者
A. C. Escobar,François Guillard,Itai Einav,Thierry Faug
摘要
Granular jumps commonly develop during granular flows over complex topographies or when hitting retaining structures. While this process has been well-studied for hydraulic flows, in granular flows such jumps remain to be fully explored, given the role of interparticle friction. Predicting the length of granular jumps is a challenging question, relevant to the design of protection dams against avalanches. In this study, we investigate the canonical case of standing jumps formed in granular flows down smooth inclines using extensive numerical simulations based on the discrete element method. We consider both two- and three-dimensional configurations and vary the chute bottom friction to account for the crucial interplay between the sliding along the smooth bottom and the shearing across the granular bulk above. By doing so, we derived a robust scaling law for the jump length that is valid over a wide range of Froude numbers and takes into account the influence of the packing density. The findings have potential implications on a number of situations encountered in industry as well as problems associated with natural hazards.
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