Convection in three-dimensional vibrofluidized granular beds
Convection in three-dimensional vibrofluidized granular beds
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DOI：
10.1017/jfm.2011.209
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发表时间：
2011-08
影响因子：
3.7
通讯作者：
H. Viswanathan;N. Sheikh;R. Wildman;J. M. Huntley
中科院分区：
文献类型：
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作者：
H. Viswanathan;N. Sheikh;R. Wildman;J. M. Huntley
我们研究对流运动在垂直振动的三维颗粒床的预测的基础上的流体动力学描述的Navier-Stokes顺序与使用正电子发射粒子跟踪（PEPT）获得的实验结果进行比较。用有限元法求解了粘性振动流化床的三维质量、动量和能量守恒方程，仅用可观测的系统参数，如颗粒数、尺寸、质量和恢复系数。从粘性模型的平均速度分布显示出合理的协议与实验结果在相对较低的高度范围内的实验值的研究，虽然在较高的海拔高度的速度场被系统低估的模型。我们确认，对流辊的侧壁恢复系数的影响，并展示了操作的缩放关系，其中增加振幅的振动导致辊的角速度的减少。
We study convective motion in vertically vibrated three-dimensional granular beds by comparing the predictions of a model based on a hydrodynamic description to Navier–Stokes order with experimental results obtained using positron emission particle tracking (PEPT). The three-dimensional conservation equations relating mass, momentum and energy are solved using the finite element (FE) method for a viscous vibrofluidized bed by using only observable system parameters such as particle number, size, mass and coefficients of restitution. The mean velocity profiles from the viscous model show reasonable agreement with the experimental results at relatively low altitudes for the range of experimental values studied, though the velocity fields at higher altitudes were systematically underestimated by the model. We confirm that the convection rolls are influenced by the sidewall coefficient of restitution and demonstrate the scaling relationships that operate, where increasing amplitude of vibration leads to a reduction in the angular velocity of the rolls.