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The impeller of hydraulic turbine is a kind of centripetal impeller. The slip phenomenon within centripetal impeller is different with centrifugal impeller. In this study, the velocity distribution and the flow form of fluid within centripetal impeller are analyzed, the slip factor within centripetal impeller is calculated, and the basic energy equation of hydraulic turbine is deduced when the slip within centripetal impeller is considered. The results of theoretical calculation, the results of experiment, and the results of computational fluid dynamics calculation are compared. The formula of slip factor within centripetal impeller is obtained, and the relative error between the results of theoretical calculation using the formula and experimental data is less than 5%. The effect factors of slip factor have entrance diameter of centripetal impeller, blade numbers, entrance and outlet blade angles, rotating speed of centripetal impeller, and flow rate

Theoretical research of hydraulic turbine performance based on slip factor within centripetal impeller