The intensive exploration to improve the accuracy of the calculation model of velocity slip and theoretical head has always been a major issue in pump research. Discontinuous blade of disc pump is different from the continuous blade of traditional pump. Disc pump realizes energy transfer by the effect of boundary layer. In order to fill in the theoretical blank of current research on the velocity slip and theoretical head of blade disc pump, the velocity slip is calculated by the systematic analysis under solid–liquid flow. In this study, the current misconception of velocity slip was corrected. Based on the different normal velocity components between particle and liquid on the blade surface, a new method is proposed to further verify the difference of solid–liquid flow velocity in impeller passage. Through the proposed method of calculating average circumferential velocity, the calculation model of the velocity slip coefficient and theoretical head of disc pump with linear and curved blade are given and verified. The accuracy of calculation model is increased by 39.4%. This model has good application value in theoretical head calculation, which lays a foundation for further research on energy conversion, energy efficiency prediction and reverse optimization design of disc pump with different blade shapes.

为了提高速度滑移和理论压头计算模型的准确性而进行的深入研究一直是泵研究的主要问题。盘式泵的不连续叶片不同于传统泵的连续叶片。盘式泵通过边界层的作用实现能量传递。为了填补目前叶轮泵转速滑移和理论扬程研究的理论空白，通过对固液两相流的系统分析来计算出转速滑移。在这项研究中，纠正了当前对速度滑移的误解。基于叶片表面颗粒与液体之间不同的法向速度分量，提出了一种新的方法来进一步验证叶轮通道中固液流速的差异。通过所提出的平均圆周速度的计算方法，给出并验证了直线叶片和曲线叶片盘式泵的速度滑移系数和理论扬程的计算模型。计算模型的准确性提高了39.4％。该模型在理论压头计算中具有良好的应用价值，为进一步研究不同叶片形状的盘式泵的能量转换，能效预测和逆向优化设计奠定了基础。