中文摘要：

采用模型试验和数值模拟相结合的方法对侧部孔口情况下立轴旋涡的水力特性进行了研究。通过摄像法得出了旋涡表面流体质点的运动轨迹、切向和轴向时均速度。采用RNGk-ε紊流模型对旋涡的三维流场进行了模拟，自由水面用VOF法追踪，控制方程用有限体积法求解，得出了旋涡的水气交界面、时均速度和粒子轨迹。试验观测到旋涡运动具有多圈螺旋流特性，数值模拟能够在一定程度上重现试验中的立轴旋涡，时均速度的计算值与实测值基本一致，粒子轨迹上半部的旋转直径和圈数与试验较为吻合。

英文摘要：

A combination approach of physical and numerical models is adopted to study the hydraulic characteristics of the vertical vortex under the condition of the side orifice. Moving path lines, tangential and axial average velocities of particles at the vortex surface are obtained by the photography method. The RNG k-ε turbulence model is used to simulate the three-dimensional flow. The free water surface is determined by the volume of fluid method, and the governing equations are solved by the finite volume method. The water-air interface, average velocity and particle path line are thus obtained. Model investigations and numerical simulations show that the vortex flow field has the characteristics of the multi-circle helical flow. Simulated results of the average velocity are in good agreement with measured data, and the upper half part of the particle path line coincides with the experimental results.