The mixed-flow Francis pump turbine was designed according to the dualistic theory and spiral potential flow,and Pro/ENGINEER software was used to build the three-dimensional geometric model.Based on the CFD numerical simulations on the guide vanes with different curvatures,the flow pathlines,flow velocities,and pressure distributions under the water pump and turbine working conditions were obtained.The results suggested that the standard guide vanes are more suitable for the Francis pump turbine.The effici...