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The collapse of a granular column onto an erodible bed: dynamics and morphology scaling
Granular Matter ( IF 2.4 ) Pub Date : 2021-03-16 , DOI: 10.1007/s10035-021-01100-x
Yesheng Wu , Dengming Wang , Pingshan Li

Abstract

The collapse of a granular column onto an erodible bed is studied experimentally and numerically, and underlying scaling laws on deposition morphology and erosion geometry are mainly considered. The differences in material properties between the column and the erodible bed give rise to the change in flow behaviors, in which the particle density ratio between the column and the erodible bed plays a crucial role. The flow duration apparently increases with initial aspect ratio \(a\), but its normalized value tends to a constant at large \(a\) regardless of particle density ratio. Furthermore, several univariable scaling laws are put forward to quantitatively characterize final deposition morphology and erosion geometry. By rescaling these univariable functions, the generalized scaling laws containing two relevant variables are further proposed, which have been verified to be applicable for a wider range of situations where the degree of erosion dominates the propagation of collapsing flow.

Graphic abstract



中文翻译:

颗粒状圆柱塌陷到易蚀床上:动力学和形态学缩放

摘要

通过实验和数值研究了颗粒状柱在易蚀床上的塌陷,并主要考虑了沉积形态和侵蚀几何学的标度定律。色谱柱与易蚀床之间的材料特性差异会引起流动行为的变化,其中色谱柱与易蚀床之间的颗粒密度比起着至关重要的作用。流动持续时间显然随着初始长宽比\(a \)的增加而增加,但其归一化值在大\(a \)时趋于恒定。不论颗粒密度比如何。此外,提出了几种单变量定标定律以定量表征最终的沉积形态和侵蚀几何形状。通过对这些单变量函数进行重新缩放,可以进一步提出包含两个相关变量的广义缩放定律,这些定律已被证明适用于更广泛范围的侵蚀程度主导着塌陷流传播的情况。

图形摘要

更新日期:2021-03-16
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