通道宽度和初始流量对颗粒稀疏流-密集流转变临界开口的影响

The influence of channel width and inflow rate on the critical opening-size of granular flow in two-dimensional channels

通过实验研究斜面上二维颗粒流 ,当出口尺寸减小到临界值Dc 时 ,发生稀疏流到密集流的突变 .发现临界尺寸Dc 与初始流量和通道宽度有关 ,通道宽度一定的情况下 ,临界开口尺寸Dc 近似随初始流量Q0 的平方根增大 .在初始流量Q0 一定时 ,临界开口尺寸Dc 随通道宽度W近似线性增大 .给出了这些关系的表达式 ,理论计算与实验观测结果一致 .同时 。

We have studied experimentally the transition phenomenon of a granular flow from dilute flow to dense flow in two-dimensional channels. In the dense flow the outflow rate (Q) depends only on the opening (D) given by Q = aD(3/2). For different inflow rates Q(0) in a dilute flow, the critical opening-size with the channel relation of width (W) is given; and in a larger inflow, the critical opening-size is approximately proportional to the square root of the inflow rate, D-c proportional to Q(0)(1/2).