supported by National Natural Science Foundation of China(Grant Nos. 51079152, 91010003, 51079151);Research Fund for the Doctoral Program of Higher Education of China(Grant No.0100008110012);Beijing Municipal Research Fund of Commission of Education of China(Grant No. 20100909)
The pressure fluctuation caused by unsteady flow in runner is one of the main reasons of vibration for a large Francis hydraulic turbine. It directly affects the steady operation of the hydraulic turbine unit. The exi...