发表机构
Indian Institute of Technology Bombay（印度理工学院孟买分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过离散元模拟分析楔形料斗中的颗粒流动，提出基于标度关系的理论模型，并推导出质量流量表达式，与模拟结果吻合良好。
AI 中文摘要
我们利用离散元方法模拟研究了楔形料斗中平面颗粒流动的速度和应力分布。在垂直于流动平面的方向上采用周期性边界条件以模拟层状系统。通过改变系统参数（出口宽度、楔角、壁面摩擦和料斗高度）和颗粒属性（颗粒直径和颗粒摩擦）进行了参数化研究。获得了速度和应力比值的标度关系。数据表明，应力不依赖于剪切速率，这与莫尔-库仑流变学一致，然而，摩擦系数在空间上变化，并且在流动的某些区域违反了同轴性条件。提出了一种基于标度关系的理论，该理论对所有研究案例均给出了良好的预测。基于该理论，推导了一个包含系统参数和颗粒属性影响的质量流量表达式，该表达式与所有案例的计算质量流量非常吻合。
英文摘要
We study the velocity and stress distribution for a planar granular flow in a wedge-shaped hopper using Discrete Element Method simulations. Periodic boundary conditions are used in the direction normal to the plane of the flow to simulate a layer system. A parametric study is carried out varying system parameters (orifice width, wedge angle, wall friction and hopper height) and particle properties (particle diameter and particle friction). Scaling relations are obtained for the velocity and stress ratios. The data indicate that the stresses are not dependent on the shear rate, as in the Mohr-Coulomb rheology, however, the friction coefficient varies spatially, and the coaxiality condition is violated in some regions of the flow. A theory based on the scaling relations is presented, which gives good predictions for all the cases studied. Based on the theory, an expression for the mass flow rate, incorporating the effect of system parameters and particle properties is derived, which gives a close match with the computed mass flow rates for all the cases.
