论文标题
使用μ（i）模型捕获两个孔口筒仓的动力学和扩展
Capturing the dynamics of a two orifice silo with the μ(I) model and extensions
论文作者
论文摘要
带有两个开口的筒仓中的颗粒材料可以显示“流速倾角”，其中流量与孔口分离之间的非单调关系发生。在本文中，我们研究了两个开口的筒仓的连续建模。我们发现，如果使用物理相关的摩擦参数，则$μ（i）$流变学可以捕获流速倾斜。我们还通过考虑壁摩擦，扩张和非本地效应来扩展模型。我们发现，使用Hele-Shaw模型对壁摩擦进行核算更好地复制了实验数据中看到的流速降低的定性特征，而膨胀和非本地效应对质量流量蘸酱的定性特征的影响很小。但是，我们发现所有这三个因素都对质量流量有重大影响，这表明准确预测流速的连续模型将需要考虑这些影响。
Granular material in a silo with two openings can display a `flow rate dip', where a non-monotonic relationship between flow rate and orifice separation occurs. In this paper we study continuum modelling of the silo with two openings. We find that the $μ(I)$ rheology can capture the flow rate dip if physically relevant friction parameters are used. We also extend the model by accounting for wall friction, dilatancy, and non-local effects. We find that accounting for the wall friction using a Hele-Shaw model better replicates the qualitative characteristics of the flow rate dip seen in experimental data, while dilatancy and non-local effects have very little effect on the qualitative characteristics of the mass flow rate dip. However, we find that all three of these factors have a significant impact on the mass flow rate, indicating that a continuum model which accurately predicts flow rate will need to account for these effects.
