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arXiv 2210.01992cond-mat.soft
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用μ(I)模型和扩展模型捕捉双孔筒仓的动力学

Capturing the dynamics of a two orifice silo with the μ(I) model and extensions

Samuel K Irvine, Luke A Fullard, Daniel J Holland, Daniel A Clarke, Thomasin A Lynch, Pierre-Yves Lagrée

摘要:

具有两个开口的筒仓中的颗粒材料可以显示“流速下降”,其中流速和孔口分离之间出现非单调关系。本文研究了双开口筒仓的连续介质模型。我们发现,$μ(I)$流变学可以捕获流量下降,如果使用物理相关的摩擦参数。我们还通过考虑壁摩擦、膨胀和非局部效应来扩展该模型。我们发现,占壁摩擦使用Hele-Shaw模型更好地复制实验数据中看到的流量下降的定性特征,而粘性和非局部效应对质量流率下降的定性特征的影响很小。然而,我们发现,所有这三个因素对质量流率有显着的影响,表明一个连续模型,准确预测流量将需要考虑这些影响。

英文摘要:

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.

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