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中文摘要：
根据加速旋转相对坐标系中雷诺平均的连续性方程和Navier-Stokes方程,以及转动系统的力矩方程,推导了水轮机转轮区域的流动控制方程。在此基础上采用RNG k-ε湍流模型对控制方程组进行封闭,对基于HL220改型的混流式水轮机进行飞逸过渡过程的三维非定常湍流计算,得到了水轮机达到飞逸状态时的单位流量和单位转速,并和试验结果进行了比较,结果显示两者吻合良好。通过对计算数据的进一步分析,得到了单位转速、水力矩随单位流量的变化曲线,以及飞逸曲线。为了进一步了解水轮机内部的流动,重点分析研究了尾水管内的压力脉动,对其引起的涡带发展过程有了一个较为清楚地认识。
英文摘要：
Based on the Reynolds-averaged continuity and Navier-Stokes equations,and moment equation of the rotational system in the accelerated rotational relative coordinate,the flow governing equations of the runner region are obtained.The runaway transients simulation of the Francis turbine based on HL220 is made with RNG k-ε turbulence model.Comparison of unit discharge and unit speed between simulation and experiment results shows that they both are in good accord.Through further analysis,the relationship curves of unit speed,moment against unit discharge are gained.In order to comprehend the flow in the turbine,research is focused on the pressure fluctuation in the draft tube,and development of vortex rope can be seen obviously.
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