A numerical study of dynamics in thin hopper flow and granular jet
Wang Meng-Ke1, 2, Yang Guang-Hui1, 2, Zhang Sheng1, 2, Cai Han-Jie1, 2, Lin Ping1, 2, †, Chen Liang-Wen1, 2, Yang Lei1, 2
       

The flow rate as a function of the width (D) of the slot. The red line is a fit of Beverloo’s law. The inset shows a log–log plot.