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通过侧向孔口排出筒仓物料:底部倾斜度与摩擦力的作用

Discharge of a silo through a lateral orifice: Role of the bottom inclination versus friction.

作者信息

Zou Z, Ruyer P, Lagrée P-Y, Aussillous P

机构信息

Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSN-RES, SEMIA, LSMA, Cadarache, St. Paul-Lez-Durance 13115, France.

Aix-Marseille Université, CNRS, IUSTI, Marseille, France.

出版信息

Phys Rev E. 2020 Nov;102(5-1):052902. doi: 10.1103/PhysRevE.102.052902.

DOI:10.1103/PhysRevE.102.052902
PMID:33327082
Abstract

In this work we propose to identify the relative role of the inclination of gravitational acceleration and friction on the discharge flow rate of a granular media from a rectangular silo by varying the silo geometry thanks to an inclined bottom which ends up at a lateral outlet. The study is motivated by a nuclear safety problem: a fuel rod (modeled by an elongated silo) accidentally releases fuel fragments (modeled by grains). We performed experiments where we independently measured the mass flow rate and the velocity profiles, together with discrete particle simulations and continuum simulations with a frictional rheology described by a μ(I) constitutive law and taking into account the wall friction. We study monolayer flows and three-dimensional flows, and we propose an analytical model that predicts the discharge flow rate of particles from a rectangular silo with an inclined bottom according to its outlet aspect ratio and the bottom inclination angle.

摘要

在这项工作中,我们建议通过改变筒仓几何形状(借助倾斜底部并在侧向出口处结束)来确定重力加速度的倾斜度和摩擦力对矩形筒仓中颗粒介质卸料流速的相对作用。这项研究是由一个核安全问题引发的:一根燃料棒(由一个细长筒仓建模)意外释放燃料碎片(由颗粒建模)。我们进行了实验,独立测量了质量流率和速度分布,同时进行了离散颗粒模拟和连续介质模拟,其中连续介质模拟采用由μ(I)本构定律描述并考虑壁面摩擦的摩擦流变学。我们研究了单层流和三维流,并提出了一个解析模型,该模型根据矩形筒仓底部的出口宽高比和底部倾斜角度预测颗粒从带倾斜底部的矩形筒仓的卸料流速。

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Modified lateral pressure formula of shallow and circular silo considering the elasticities of silo wall and storage materials.考虑筒仓壁和储存物料弹性的浅圆仓修正侧压力公式。
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