中文摘要：

为获得旋流泵内更为符合物理真实的液固两相流动特征,在传统欧拉（Euler）双流体模型基础上加载群体平衡模型（PBM）,以考虑实际存在的颗粒聚并、破碎等动力学行为,与CFD耦合计算了不同流量、颗粒粒径及浓度下的液固两相流场,分析了颗粒存在对泵外特性的影响规律.计算结果表明：从进口到出口,叶片背面附近颗粒粒径明显增大;在叶轮出口位置,同一半径上,从叶片工作面到背面附近存在粒径梯度;在外缘部,沿轴向形成粒径梯度.与Euler模型计算结果对比发现：加载PBM模型后,颗粒总体浓度分布特征存在差异;同一轴截面上,颗粒浓度在中心部的分布基本相同,而在中间和外缘部位置出现差异.PBM模型计算得到的泵扬程、效率曲线更接近于实验值,证明基于CFD一PBM耦合计算的预测精度更符合实际.

英文摘要：

in order to obtain physical reality of liquid-solid two-phase flow characteristics in a vortex pump,ased on the Euler- Euler two fluid model,loading population balance model （PBM）. Considering particle dynamics behavior of coalescence and breakage, calculating liquid-solid two-phase flow field under different flow rate, particle size and volume concentration of particles, and pump performance variation with particles. Calculation results show that：From import to export, particle size near the back of the blade increases significantly;in impeller exit location, the same radius, from the blade to near the back form reverse diameter gradient;in the outer section,forming reverse diameter gradient in the direction of axial. Comparing with Euler-Euler two fluid model results, after loading PBM model,the total particle concentration distribution characteristic exist differences;in the same shaft section,the distribution of particle concentration is basically the same in the center;but in the middle and out edge location appear difference. PBM model to calculate the pump head and efficiency is more closer to the experimental value, proving that CFD-PBM coupled calculation of prediction accuracy is higher.