Plane steady shear flow of a cohesionless granular material down an inclined plane. A model for flow avalanches Part II: numerical results
Plane steady shear flow of a cohesionless granular material down an inclined plane. A model for flow avalanches Part II: numerical results
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无粘性颗粒材料沿倾斜平面的平面稳定剪切流。
DOI：
10.1007/bf01176885
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发表时间：
1987
期刊：
影响因子：
2.7
通讯作者：
S. Yakowitz
中科院分区：
文献类型：
--
作者：
K. Hutter;F. Szidarovsky;S. Yakowitz
本文用Jenkins和Savage[2]提出并推广的颗粒流模型来构造具有典型意义的定常溜槽流动的数值解。我们简要地叙述了方程和边界条件，并给出了当Senkins和Savage模型的下列模型参数变化时的数值解：(A)颗粒在二元碰撞下的恢复系数，(B)每层颗粒的数目，(C)溜槽的倾角，以及(D)基面和自由面边界条件。我们证明了Jenkins和Savage模型可能会产生物理上有问题的结果，其推广的结果与它们明显不同，在某些情况下在物理上更合理，但在其他情况下产生同样有问题的结果。这些结果很容易重新定义颗粒流模型研究人员在不久的将来可能想要追求的研究方向。
The granular flow model proposed by Jenkins and Savage., [2], and extended by us [1] is used here to construct numerical solutions of steady chute flows thought to be typical of such flows.We briefly state the equations and boundary conditions and present numerical solutions when the following model parameters of the Senkins and Savage model are varied: (a) the coefficient of restitution of the particles under binary collision, (b) the number of particles per layer, (c) the inclination angle of the chute, and (d) the basal and free surface boundary conditions. We demonstrate that the Jenkins and Savage model may yield physically questionable results, that those of its extension differ markedly from them and are physically more reasonable in certain cases, but yield equally questionable results in others. The results are apt to redefine research directions which granular flow modellers might want to pursue in the near future.