论文标题
根据能量平衡排放筒仓的流量的微分方程
Differential equation for the flow rate of discharging silos based on energy balance
论文作者
论文摘要
自1852年Hagen和Beverloo等人的早期工作以来。 1961年，通过尺寸分析和实验拟合的方式描述了通过圆形孔排出的颗粒材料的流速，并通过“自由秋季弓”模型进行了解释。在这里，与传统方法相反，我们根据系统的能量平衡得出一个微分方程。由于能量条款的补偿，该方程与众所周知的贝弗洛规则一致。此外，这个新方程可用于探索筒仓排放的新条件。特别是，我们展示了如何预测摩擦对流速的影响。该理论是使用离散元素方法模拟验证的。
Since the early work of Hagen in 1852 and Beverloo et al. in 1961, the flow rate of granular material discharging through a circular orifice from a silo has been described by means of dimensional analysis and experimental fits, and explained through the "free fall arch" model. Here, in contrast with the traditional approach, we derive a differential equation based on the energy balance of the system. This equation is consistent with the well known Beverloo rule thanks to a compensation of energy terms. Moreover, this new equation can be used to explore new conditions for silo discharges. In particular, we show how the effect of friction on the flow rate can be predicted. The theory is validated using discrete element method simulations.
