混流式水轮机的三维湍流流场分析与性能预测

    Flow field analysis and performance prediction of three-dimensional turbulent flow in francis turbine

    • 摘要: 用数值方法研究混流式水轮机各通流元件内部流场是优化其设计的重要手段。该文基于Navier-Stokes方程和k-ε紊流模型,采用贴体坐标和交错网格系统,用SIMPLEC算法对一模型混流式水轮机引水元件、转轮和尾水管进行了联合计算与转轮单流道计算,数值模拟了水轮机各通流元件内部三维湍流流场,预测了水轮机的能量性能和空化性能,并与水轮机模型试验结果进行了对比。该文的水轮机计算效率与实测效率非常接近,各工况最大相对误差为0.9%;计算的初生空化系数与实测临界空化系数之比为1.57~1.99,符合实际。研究结果表明,该文提出的多部件联合计算与转轮单流道计算相结合的方法,可节省计算资源且精度较高,并具有良好的工程适用性。

       

      Abstract: To study the inner flow by numerical simulation method is an important way for optimum design of francis turbine. Based on the 3D time-average Navier-Stokes equations, k-ε model was used to simulate the 3D turbulent flow field of whole flow passage in the Francis turbine including guide wickets, runner and draft tube. The energy performance and cavitation performance were predicted from the simulation results, and the calculated data were compared with the results of hydraulic turbine model experiment. The calculation of turbine efficiency and the measured efficiency was very closed and the maximal relative error was 0.9%. The ratio between calculated initial cavitation coefficient and measured critical cavitation coefficient was 1.57-1.99, and was in line with reality. The results show that the method of combining the whole passage computing with single passage computing has higher calculation efficiency and accuracy, and is feasible and applicable to solve the engineering problems.

       

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