A vane assembly (21) for an axial flow turbine engine provides a plurality of nozzles (22) arranged symmetrically around a turbine axis formed by an inner hub (26), an outer casing (27) and vanes (23) intermediate pairs of adjacent nozzles. The nozzles have a cross-section normal to the turbine axis
A vane assembly (21) for an axial flow turbine engine provides a plurality of nozzles (22) arranged symmetrically around a turbine axis formed by an inner hub (26), an outer casing (27) and vanes (23) intermediate pairs of adjacent nozzles. The nozzles have a cross-section normal to the turbine axis that changes smoothly with the position of the cross-section along the turbine axis from a first shape having a minimum radius of curvature of a first value that is no less than a limit L, providing the cross-section with no highly curved corners, to a second shape having a minimum radius of curvature of a second value less than the first value, providing corners. This allows the secondary flow structure to be designed to improve aerodynamic loss and cooling performance.
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1. A vane assembly for an axial flow turbine, the vane assembly providing a plurality of nozzles arranged symmetrically around a turbine axis formed by an inner hub, an outer casing and vanes intermediate pairs of adjacent nozzles, the vanes providing a suction surface of one of the pair of adjacent
1. A vane assembly for an axial flow turbine, the vane assembly providing a plurality of nozzles arranged symmetrically around a turbine axis formed by an inner hub, an outer casing and vanes intermediate pairs of adjacent nozzles, the vanes providing a suction surface of one of the pair of adjacent nozzles and a pressure surface of the other of the pair of adjacent nozzles, at least some of the nozzles having a cross-section normal to the turbine axis that changes smoothly with the position of the cross-section along the turbine axis from a first shape at an upstream end of the nozzle, the first shape having a minimum radius of curvature of a first value that is no less than a limit L, to a second shape at a downstream end of the nozzle, the second shape having a minimum radius of curvature of a second value less than the first value,wheredefining a reference plane normal to the turbine axis, which reference plane contains a circle that is centred on the turbine axis and touches the trailing edge of a vane at the most upstream position possible along the turbine axis in the direction of axial flow,defining a reference radius from the turbine axis that is the average of (a) the minimum radius from the turbine axis of the nozzle at the inner hub in the reference plane and (b) the maximum radius from the turbine axis of the nozzle at the outer casing in the reference plane,defining a reference cross-section of a nozzle normal to the turbine axis at a position along the turbine axis where an axial line parallel to the turbine axis at the reference radius from the turbine axis is tangential to the suction surface of a vane,defining a characteristic length a as half the difference between (c) the minimum radius from the turbine axis of the nozzle at the inner hub in the reference cross-section and (d) the maximum radius from the turbine axis of the nozzle at the outer casing in the reference cross-section, anddefining a characteristic length b as the area of the reference cross-section divided by the product (π.a),the limit L is defined as k.min(a,b), where k is a constant of at least ⅓. 2. The vane assembly according to claim 1, where k is a constant of at least ½. 3. The vane assembly according to claim 2, where k is a constant of at least ⅔. 4. The vane assembly according to claim 1, wherein said first shape is one of: an ellipse; an oval; a racetrack shape having two straight sides between curved ends; or a curved shape having at least one inwardly curving section. 5. The vane assembly according to claim 1, wherein the second shape has four sides having a minimum radius of curvature of a value greater than the first value with corners between the four sides having a radius of curvature of a value less than the first value. 6. The vane assembly according to claim 1, wherein the second shape is one of: a sector; a filleted sector; a leant sector a filleted leant sector, a compound leant sector; a filleted compound leant sector. 7. The vane assembly according to claim 1, wherein said cross-section normal to the turbine axis changes smoothly from said first shape with a decreasing minimum radius of curvature to said second shape. 8. The vane assembly according to claim 1, wherein the plurality of nozzles are arranged to partition a flow from an annular duct, and the vanes intermediate two nozzles that have said cross-section that changes smoothly have a leading face facing into the annular duct is, said leading face being shaped as a saddle having a saddle point intermediate the inner hub and the outer casing. 9. The vane assembly according to claim 8, wherein the nozzles have said cross-section normal to the turbine axis of said first shape at the position along the turbine axis of the saddle point. 10. The vane assembly according to claim 8, wherein the leading face of a vane along a line in a plane extending radially of the turbine axis and through the saddle point, within a range of positions along the turbine axis from the saddle point of length b, is curved with a minimum radius of curvature that has a third value that is no less than said limit L. 11. The vane assembly according to claim 8, wherein the overall cross-section of the annular duct normal to the turbine axis bounded by the inner hub, the outer casing and the leading faces of the vanes varies smoothly with the position along the turbine axis within said range, and, at the position of the saddle point where the annular duct is divided into the plurality of nozzles, varies smoothly into the cross-sections of the plurality of ducts. 12. The vane assembly according to claim 1, wherein each nozzle is formed as the continuation of a combustion can, the combustion cans having a cross-section that varies smoothly into the cross-section of the nozzles. 13. The vane assembly according to claim 1, wherein the vane assembly is a stator or a rotor for a turbine stage of the axial flow turbine engine. 14. The vane assembly according to claim 13, wherein the turbine stage is a high-pressure turbine stage. 15. The vane assembly according to claim 13, wherein the turbine stage is an intermediate-pressure turbine stage. 16. The vane assembly according to claim 13, wherein the turbine stage is not a low-pressure turbine stage. 17. The vane assembly according to claim 1, wherein the axial flow turbine engine is an aero engine. 18. The vane assembly according to claim 1, wherein the axial flow turbine engine is a static turbine engine.
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