二维斜面粗糙边界附近颗粒流量密度分布

Dilute granular flow distribution near rough boundary on a two-dimensional inclined channel

以往的实验研究中 ,已经知道粗糙边界条件下 ,二维颗粒流的颗粒流量是以通道中心横向对称分布的 ,颗粒流横向分布既受通道宽度的影响 ,同时也受通道斜面倾斜角的影响 ,而且颗粒在通道两侧的分布明显少于通道中间 .主要研究粗糙边界附近颗粒分布随通道宽度以及通道斜面倾斜角的变化规律 .在稀疏流状态以及保持边界墙体的粗糙度不变的条件下 ,对应不同通道宽度 ,粗糙边界附近 10d范围内的颗粒流量密度 (ξ =ρv)随斜面倾斜角的增大而减小 ,颗粒流量密度随通道宽度的变化存在一临界宽度Wc;在通道宽度小于Wc 时 ,粗糙墙体附近 10d范围内颗粒流量密度 ξ随sinθ呈指数衰减 ,通道宽度大于Wc 时 ,颗粒流量密度 ξ_sinθ曲线随θ增大几乎呈线性减小 .

The dilute granular flow distribution near the rough boundary of a two-dimensional inclined channel have been reported. It is caused by the increasing inclination and the width of the channel. Compared with the viscous fluids, the velocity profiles of the granular flow are more blunted than the parabolic form and the density profiles are nonuniform. In this paper, we present the density of granular flux xi near the rough boundary of a two-dimensional inclined channel. the results show that there is a critical width of channel W, for the transition of the density of granular flux xi = pv, and the density of granular flux near the boundary decaying exponentially with incresaing inclination of the channel when the width of channel is less than W,.