Abstract: According to the embodiment, in a range from a plane P1 including a runner rotation center axis C and an end point 15E2 of an outlet end 15 of the vane 13, up to a plane P2 corresponding to a position where the plane P1 is moved by an angle, which is determined by dividing 360° by a value that is four times the number of vanes 13, in a runner rotation direction, when respective sections of the vane 13 are taken at a plane including the axis C and radially extending, in at least one section, a tangent T1 on a centerline Cv of the vane 13 passing through an intersection X at which the centerline Cv and a flowing water surface 12f intersect, and a tangent T2 on the flowing water surface 12f passing through the intersection X, define an acute angle on a negative pressure surface.

Abstract: According to the embodiment, in a range from a plane P1 including a runner rotation center axis C and an end point 15E2 of an outlet end 15 of the vane 13, up to a plane P2 corresponding to a position where the plane P1 is moved by an angle, which is determined by dividing 360° by a value that is four times the number of vanes 13, in a runner rotation direction, when respective sections of the vane 13 are taken at a plane including the axis C and radially extending, in at least one section, a tangent T1 on a centerline Cv of the vane 13 passing through an intersection X at which the centerline Cv and a flowing water surface 12f intersect, and a tangent T2 on the flowing water surface 12f passing through the intersection X, define an acute angle on a negative pressure surface.

Abstract: A hydraulic machine having a hydro turbine runner which has a crown at a center and a band along an outer periphery, and is formed around the axis of rotation, long blades which are arranged along the circumferential direction of the axis of rotation, and whose center-side ends are supported by the crown, and periphery-side ends are supported by the band, and short blades which are arranged between the long blades, and whose center-side ends are supported by the crown, periphery-side ends are supported by the band, and rear edges are curved in a rotation direction of the hydro turbine runner in turbine operation, on a plane of projection perpendicular to the axis of rotation.

Abstract: A hydraulic machine having a hydro turbine runner which has a crown at a center and a band along an outer periphery, and is formed around the axis of rotation, long blades which are arranged along the circumferential direction of the axis of rotation, and whose center-side ends are supported by the crown, and periphery-side ends are supported by the band, and short blades which are arranged between the long blades, and whose center-side ends are supported by the crown, periphery-side ends are supported by the band, and rear edges are curved in a rotation direction of the hydro turbine runner in turbine operation, on a plane of projection perpendicular to the axis of rotation.

Abstract: A Francis pump-turbine includes a runner provided with runner blades arranged around in a circumferential direction of a main shaft of the runner, each of the runner blades being supported by a band at a bottom side thereof in a blade height direction and supported by a crown at a head side in the blade height direction, in which the runner blade is formed, at a trailing edge thereof, with a curved portion expanding to the main shaft when the turbine is in operation, the curved portion has a maximum point with respect to a straight line connecting a crown-side trailing edge connecting end at which the trailing edge and the crown are connected and a band-side trailing edge connecting end at which the trailing edge and the band are connected, and an angle ? formed by a straight line connecting the maximum point and the crown-side trailing edge connecting end and a straight line connecting the maximum point and the band-side trailing edge connecting end is set to be within a range of ??150°.

Abstract: A Francis pump-turbine includes a runner provided with runner blades arranged around in a circumferential direction of a main shaft of the runner, each of the runner blades being supported by a band at a bottom side thereof in a blade height direction and supported by a crown at a head side in the blade height direction, in which the runner blade is formed, at a trailing edge thereof, with a curved portion expanding to the main shaft when the turbine is in operation, the curved portion has a maximum point with respect to a straight line connecting a crown-side trailing edge connecting end at which the trailing edge and the crown are connected and a band-side trailing edge connecting end at which the trailing edge and the band are connected, and an angle a formed by a straight line connecting the maximum point and the crown-side trailing edge connecting end and a straight line connecting the maximum point and the band-side trailing edge connecting end is set to be within a range of ??150°.