自由磨料射流轴心磨料速度模型及分析

摘要

为了研究自由磨料射流轴心磨料速度,以自由磨料射流轴心磨料为研究对象,利用自由磨料射流轴心流体速度方程及磨料运动方程,建立了自由磨料射流轴心磨料速度模型,并基于等分法和迭代算法的数值求解方法,求解了该速度模型,得出了自由磨料射流轴心磨料速度变化规律,最后利用PIV实验对该速度模型进行了验证.结果表明:①自由磨料射流轴心磨料速度随着磨料运动距离的增加先增大后减小;在初始段末端磨料速度未达到速度最大值,磨料速度最大值出现在基本段内.②自由磨料射流轴心磨料速度PIV实测值与理论值的变化趋势基本一致;实测值与理论值的平均百分比误差和标准偏差分别小于3％和2 m/s,吻合较好,验证了模型的正确性和准确性.%In order to study the velocities of the particles along the centerline of a free abrasive water jet,a model for the particle velocities was established based on the fluid velocity equation and particle motion equation.The model was solved numerically by using the bisection method and iterative algorithm and the distribution of particle velocity along the centerline of free abrasive water jet was obtained.The results of the model were then verified by PIV experiments.The results show that:with the increase of the moving distance,the particle velocity increases first and then decreases,at the end of the initial section,the particle velocity does not reach its maximum and the maximum of the particle velocity appears in the basic section.The changing trend of the measured value of PIV experiments is consistent with the theoretical value.The results of the model calculations and the corresponding referential experiments are in good agreement with less than 2％ average errors and 2 m/s the standard deviation,which verifies the correctness and accuracy of the model.