静水中大雷诺数球形颗粒变加速沉降的理论分析与试验

基于单颗粒泥沙沉降的力学机理,对静水中大雷诺数球形颗粒沉降过程中的受力状况进行分析,推导出变加速沉降运动过程的瞬时速度、沉降历时及沉降位移公式。试验数据与所推导公式的计算结果对比分析表明:计算位移与实测值相对误差都小于5%,大部分小于4%;瞬时沉速计算值与试验值相对误差都在7%以内,大部分小于5%,计算值与实测值吻合良好。

Theoretical analysis and experimental study of accelerating settlement of a spherical particle in still water with high Reynolds number

The forces on a spherical particle settling in still water with a high Reynolds number were investigated based on the settlement mechanisms of single particles of sediment. The formulas of instantaneous settlement velocity, settlement duration, and settlement displacement during accelerating settlement were deduced. The computational results from the formulas were compared with the experimental results. It was found that the relative errors were all less than 5% between the computational displacement and experimental data, and most of them were less than 4%; and the relative errors were all less than 7% between the computational instantaneous settlement velocity and experimental data, and most of them were less than 5%, indicating that the computational values agreed with the experimental data.