Optimized aerodynamic profile for a turbine vane, in particular for a nozzle of the third stage of a turbine

Abstract

When cold and in the non-coated state, the aerodynamic profile is substantially identical to a nominal profile determined by the Cartesian coordinates X,Y, Zadim given in Table 1, in which the coordinate Zadim is the quotient D/H where D is the distance of the point under consideration from a first reference plane P0 situated at the base of the nominal profile, and H is the height of said profile measured from the first reference plane to a second reference plane P1. The measurements D and H are taken radially relative to the axis of the turbine, while the X coordinate is measured in the axial direction of the turbine.

Claims

1. A turbine vane configured to be mounted to a turbine and presenting an aerodynamic profile, comprising: the aerodynamic profile, defining the turbine vane when cold and in a non-coated state, the aerodynamic profile being identical to a nominal profile determined by Cartesian coordinates X,Y,Zadim given in Table 1, in which coordinate Zadim is a quotient D/H, where D is a distance of a point under consideration from a reference X,Y plane situated at a base of the nominal profile, and H is a height of said nominal profile measured from said reference X,Y plane out to an end of the vane, the measurements D and H being taken radially relative to an axial direction of the turbine vane, while the coordinate X is measured in the axial direction of the turbine vane.

2. The turbine vane as claimed in claim 1, wherein the vane is a nozzle vane forming a part of a stator of a turbine.

3. The turbine vane as claimed in claim 2, wherein the nozzle vane is of a third stage of the turbine.

4. The turbine vane as claimed in claim 2, wherein the vane is usable in a third stage nozzle of the turbine, the turbine containing seven stages.

5. A turbine, including a plurality of turbine vanes as claimed in claim 1.

6. The turbine as claimed in claim 5, including a nozzle that is stationary during operation, wherein the plurality of turbine vanes includes 140 to 160 turbine vanes.

7. A turbine nozzle forming a portion of a turbine stator, further comprising a plurality of turbine vanes as claimed in claim 1.

8. The turbine nozzle as claimed in claim 7, wherein the plurality of turbine vanes includes 140 to 160 turbine vanes.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) The invention can be better understood and its advantages appear better on reading the following detailed description of an embodiment given by way of non-limiting example. The description refers to the accompanying drawings, in which:

(2) FIG. 1 is a fragmentary axial section view of a turbine including a vane of profile that corresponds to that of the invention;

(3) FIG. 2 is an enlarged view of FIG. 1, showing the third stage of the turbine.

DETAILED DESCRIPTION

(4) The turbine shown in axial section in FIG. 1 comprises seven stages referenced respectively S1 to S7. In the direction going from upstream to downstream, each stage comprises a nozzle that forms a portion of the stator of the turbine and that has a plurality of radially-oriented vanes, and a rotary wheel that forms a portion of the rotor of the turbine and that likewise includes a plurality of radially-oriented blades.

(5) In FIG. 1, the vanes of the nozzles of stages S1 to S7 are given references N1 to N7, whereas the blades of rotary wheels of stages S1 to S7 are given respective references W1 to W7.

(6) In known manner, the vanes of the nozzles are fastened at both ends to stationary structure portions, while the blades of the rotary wheels are fastened to a rotary disk via their roots that are formed at their radially-inner ends closer to the axis of the rotation A of the turbine. The disks d1 to d7 forming parts of the wheels W1 to W7 are constrained to rotate together.

(7) The invention relates in particular to a vane N3 which is a vane of the nozzle of the third stage S3 of the turbine that, as mentioned above, preferably comprises seven stages as shown, without this number being limiting.

(8) As best seen in FIG. 2, via its foot 10, which is its end remote from the axis of rotation A, the vane N3 is fastened to the outer ring 12 of the turbine, which ring is stationary in rotation. Via its head 14, formed by its end closer to the axis of rotation A, the vane is fastened to an inner shroud 16 of the turbine. By convention, the aerodynamic profile 18 of the vane is the entire portion of said vane that extends radially outwards from its head 14 to its foot 10 without incorporating the fastenings respectively to the outer ring 12 and to the inner shroud 16.

(9) In FIG. 2, there can be seen a frame of reference comprising Cartesian coordinates X,Y,Z. The radial direction Z is the height direction of the vane, which extends radially from its head to its foot. This direction Z is perpendicular to the axial direction X which is the direction of the axis of rotation A of the turbine. The direction Y is perpendicular to the X,Z plane and is therefore tangential to the direction of rotation of the turbine.

(10) The nominal profile from which the aerodynamic profile of the invention is determined is defined in following Table 1 of coordinates, in which the coordinate Zadim, measured along the axis Z is non-dimensional, whereas the dimensions X and Y, respectively measured along the axes X and Y, are expressed in millimeters.

(11) TABLE-US-00001 TABLE 1 X Y Zadim 6.04024 0.8485 0.17699 6.08596 0.88175 0.17699 6.14277 0.94109 0.17699 6.2014 1.05354 0.17699 6.2252 1.22861 0.17699 6.18793 1.45632 0.17699 6.08271 1.72447 0.17699 5.90833 2.02526 0.17699 5.66284 2.35213 0.17699 5.34406 2.69821 0.17699 4.94954 3.05531 0.17699 4.47686 3.41324 0.17699 3.92373 3.75872 0.17699 3.29055 4.07833 0.17699 2.57836 4.35393 0.17699 1.79171 4.56621 0.17699 0.9393 4.69584 0.17699 0.03429 4.72479 0.17699 0.905962 4.63858 0.17699 1.861215 4.42871 0.17699 2.810998 4.09498 0.17699 3.737497 3.64501 0.17699 4.626885 3.09131 0.17699 5.46979 2.44923 0.17699 6.2612 1.73549 0.17699 7.001274 0.96833 0.17699 7.691772 0.16367 0.17699 8.332183 0.666957 0.17699 8.924397 1.511698 0.17699 9.473898 2.357796 0.17699 9.982047 3.196599 0.17699 10.44952 4.020653 0.17699 10.88046 4.82131 0.17699 11.27686 5.591927 0.17699 11.63924 6.327288 0.17699 11.96998 7.021887 0.17699 12.27026 7.671472 0.17699 12.54075 8.272695 0.17699 12.78314 8.822442 0.17699 12.99809 9.318784 0.17699 13.18654 9.760438 0.17699 13.34947 10.1469 0.17699 13.48794 10.47847 0.17699 13.60305 10.75636 0.17699 13.69619 10.98258 0.17699 13.7684 11.16028 0.17699 13.79894 11.30026 0.17699 13.75926 11.39206 0.17699 13.71379 11.43584 0.17699 13.67157 11.45963 0.17699 13.63143 11.47281 0.17699 13.57673 11.47884 0.17699 13.49123 11.46176 0.17699 13.39739 11.37932 0.17699 13.31297 11.23495 0.17699 13.20801 11.04926 0.17699 13.07848 10.82124 0.17699 12.92302 10.54924 0.17699 12.74057 10.23235 0.17699 12.53026 9.870365 0.17699 12.29148 9.463698 0.17699 12.02402 9.013294 0.17699 11.7273 8.521005 0.17699 11.40143 7.988925 0.17699 11.04576 7.420241 0.17699 10.6598 6.818646 0.17699 10.24435 6.187564 0.17699 9.799157 5.531618 0.17699 9.325084 4.855183 0.17699 8.823 4.163054 0.17699 8.292622 3.461331 0.17699 7.733816 2.756509 0.17699 7.149655 2.052955 0.17699 6.540128 1.357881 0.17699 5.903684 0.680488 0.17699 5.237341 0.032751 0.17699 4.53758 0.57019 0.17699 3.802484 1.11193 0.17699 3.034185 1.57673 0.17699 2.239078 1.94798 0.17699 1.429184 2.21077 0.17699 0.621746 2.35373 0.17699 0.16213 2.37591 0.17699 0.90265 2.28903 0.17699 1.58639 2.11653 0.17699 2.20897 1.88936 0.17699 2.77385 1.64011 0.17699 3.28773 1.39776 0.17699 3.75647 1.18382 0.17699 4.18503 1.01016 0.17699 4.57455 0.88048 0.17699 4.92153 0.79402 0.17699 5.22207 0.74582 0.17699 5.47345 0.72928 0.17699 5.67479 0.73602 0.17699 5.82683 0.76104 0.17699 5.93224 0.7944 0.17699 9.54258 0.71217 0.0885 9.58876 0.74769 0.0885 9.64557 0.81047 0.0885 9.70297 0.92788 0.0885 9.72452 1.10868 0.0885 9.68502 1.34317 0.0885 9.5776 1.61992 0.0885 9.40119 1.9318 0.0885 9.1538 2.2728 0.0885 8.83307 2.63649 0.0885 8.43618 3.01493 0.0885 7.96001 3.39786 0.0885 7.40195 3.77241 0.0885 6.76043 4.12276 0.0885 6.03603 4.43036 0.0885 5.23222 4.67329 0.0885 4.3573 4.8285 0.0885 3.42534 4.87583 0.0885 2.45545 4.7973 0.0885 1.47052 4.58313 0.0885 0.4937 4.23358 0.0885 0.455359 3.75816 0.0885 1.362267 3.17228 0.0885 2.218126 2.49407 0.0885 3.018843 1.74233 0.0885 3.764828 0.93592 0.0885 4.458084 0.09126 0.0885 5.099352 0.778877 0.0885 5.691753 1.661735 0.0885 6.240475 2.54487 0.0885 6.747345 3.419285 0.0885 7.214056 4.2769 0.0885 7.644536 5.109229 0.0885 8.040847 5.909573 0.0885 8.403993 6.672414 0.0885 8.736275 7.392265 0.0885 9.038622 8.064953 0.0885 9.311772 8.687055 0.0885 9.557133 9.255547 0.0885 9.775304 9.768504 0.0885 9.967016 10.22472 0.0885 10.13318 10.62372 0.0885 10.2747 10.96593 0.0885 10.39257 11.25263 0.0885 10.4881 11.48595 0.0885 10.5626 11.66905 0.0885 10.59355 11.81342 0.0885 10.55228 11.90787 0.0885 10.50507 11.95262 0.0885 10.46125 11.97658 0.0885 10.4196 11.98947 0.0885 10.36302 11.99441 0.0885 10.27535 11.97414 0.0885 10.18126 11.88604 0.0885 10.09633 11.73579 0.0885 9.988891 11.54368 0.0885 9.856484 11.30765 0.0885 9.697833 11.02596 0.0885 9.511991 10.69754 0.0885 9.298208 10.32211 0.0885 9.056047 9.89998 0.0885 8.785362 9.432058 0.0885 8.485814 8.920082 0.0885 8.157597 8.366135 0.0885 7.800365 7.773255 0.0885 7.413807 7.145051 0.0885 6.998851 6.484931 0.0885 6.555212 5.797567 0.0885 6.083129 5.087797 0.0885 5.582899 4.360898 0.0885 5.054843 3.622573 0.0885 4.498232 2.879745 0.0885 3.913231 2.139241 0.0885 3.299662 1.408715 0.0885 2.656431 0.697272 0.0885 1.981378 0.016233 0.0885 1.270555 0.61898 0.0885 0.521936 1.19165 0.0885 0.26235 1.68546 0.0885 1.07561 2.08441 0.0885 1.90712 2.37121 0.0885 2.73965 2.53293 0.0885 3.55088 2.56848 0.0885 4.31949 2.49202 0.0885 5.03038 2.32561 0.0885 5.67618 2.09697 0.0885 6.25726 1.83544 0.0885 6.77917 1.56777 0.0885 7.24898 1.31531 0.0885 7.67307 1.09282 0.0885 8.0556 0.90927 0.0885 8.39775 0.7696 0.0885 8.69843 0.67541 0.0885 8.95473 0.62486 0.0885 9.16305 0.61161 0.0885 9.32169 0.62514 0.0885 9.43173 0.6553 0.0885 12.9761 0.59091 0 13.0221 0.62878 0 13.0781 0.6949 0 13.1334 0.81662 0 13.1527 1.0019 0 13.112 1.24176 0 13.0044 1.52575 0 12.8286 1.84742 0 12.5825 2.20124 0 12.2634 2.58115 0 11.8684 2.97959 0 11.3932 3.38578 0 10.8346 3.78681 0 10.1904 4.16644 0 9.45915 4.50341 0 8.64408 4.77486 0 7.75295 4.95454 0 6.8003 5.01662 0 5.80771 4.94036 0 4.80111 4.71657 0 3.80632 4.34645 0 2.84421 3.84283 0 1.93209 3.21982 0 1.07713 2.50071 0 0.28038 1.70843 0 0.458773 0.86183 0 1.142826 0.022377 0 1.77399 0.930397 0 2.356692 1.848855 0 2.895678 2.765885 0 3.393213 3.672324 0 3.852012 4.55962 0 4.276073 5.419398 0 4.666768 6.245336 0 5.025434 7.031757 0 5.354332 7.773206 0 5.654287 8.465537 0 5.926101 9.105279 0 6.170877 9.689534 0 6.389122 10.2164 0 6.581351 10.68475 0 6.748382 11.09418 0 6.890922 11.4452 0 7.009876 11.73917 0 7.106429 11.97835 0 7.182137 12.16589 0 7.212787 12.3138 0 7.170519 12.41041 0 7.122144 12.45611 0 7.077119 12.48026 0 7.034255 12.49283 0 6.976203 12.49661 0 6.887113 12.47291 0 6.793961 12.37932 0 6.709554 12.22397 0 6.60113 12.02625 0 6.467687 11.78323 0 6.308056 11.49303 0 6.121415 11.15449 0 5.907151 10.76722 0 5.665 10.33142 0 5.394887 9.847968 0 5.096725 9.318473 0 4.770802 8.74499 0 4.417087 8.130399 0 4.03543 7.478222 0 3.626444 6.792097 0 3.18995 6.076634 0 2.726055 5.33677 0 2.23529 4.577624 0 1.716353 3.805967 0 1.168802 3.028523 0 0.592508 2.25231 0 0.01431 1.486174 0 0.65349 0.739914 0 1.32635 0.024112 0 2.03815 0.64463 0 2.79155 1.24867 0 3.58469 1.77066 0 4.41014 2.19472 0 5.25629 2.5055 0 6.1066 2.69039 0 6.93936 2.74469 0 7.73132 2.67891 0 8.46428 2.51513 0 9.12885 2.28317 0 9.72349 2.01159 0 10.2526 1.72644 0 10.7233 1.44884 0 11.1426 1.19422 0 11.5149 0.9717 0 11.8441 0.78831 0 12.1319 0.64743 0 12.3798 0.55231 0 12.5871 0.50492 0 12.75 0.50325 0 12.8636 0.53079 0 16.2281 0.49077 0.088496 16.2736 0.53091 0.088496 16.3283 0.60013 0.088496 16.3811 0.72559 0.088496 16.3979 0.91447 0.088496 16.3564 1.15864 0.088496 16.2491 1.44862 0.088496 16.0749 1.77861 0.088496 15.8312 2.14353 0.088496 15.5153 2.53758 0.088496 15.1235 2.95312 0.088496 14.6523 3.3809 0.088496 14.0964 3.80634 0.088496 13.452 4.21171 0.088496 12.7176 4.5758 0.088496 11.8943 4.87069 0.088496 10.9904 5.06949 0.088496 10.0212 5.1415 0.088496 9.01077 5.06309 0.088496 7.9886 4.82391 0.088496 6.9838 4.42643 0.088496 6.01961 3.88555 0.088496 5.109 3.22573 0.088496 4.25737 2.4719 0.088496 3.46822 1.64379 0.088496 2.73988 0.76141 0.088496 2.06867 0.157688 0.088496 1.4508 1.098772 0.088496 0.88071 2.048073 0.088496 0.35416 2.994321 0.088496 0.131669 3.928168 0.088496 0.580375 4.840737 0.088496 0.994739 5.724368 0.088496 1.377007 6.572354 0.088496 1.729014 7.37882 0.088496 2.05283 8.138434 0.088496 2.348929 8.847198 0.088496 2.618151 9.501616 0.088496 2.861245 10.09893 0.088496 3.078605 10.63727 0.088496 3.270516 11.11561 0.088496 3.437694 11.53358 0.088496 3.580644 11.8918 0.088496 3.700167 12.19171 0.088496 3.797337 12.43566 0.088496 3.873895 12.62678 0.088496 3.903782 12.77763 0.088496 3.860549 12.87589 0.088496 3.811265 12.92237 0.088496 3.765283 12.94669 0.088496 3.721533 12.95896 0.088496 3.662411 12.96164 0.088496 3.572549 12.93485 0.088496 3.480509 12.83699 0.088496 3.397026 12.67768 0.088496 3.288368 12.47565 0.088496 3.154806 12.22725 0.088496 2.995288 11.93048 0.088496 2.809117 11.58409 0.088496 2.595825 11.18758 0.088496 2.355333 10.74105 0.088496 2.087646 10.24536 0.088496 1.792936 9.701971 0.088496 1.471604 9.112897 0.088496 1.123954 8.480841 0.088496 0.750049 7.809214 0.088496 0.349922 7.101995 0.088496 0.07658 6.363768 0.088496 0.52906 5.599291 0.088496 1.00773 4.814118 0.088496 1.51427 4.015188 0.088496 2.04916 3.209195 0.088496 2.61405 2.404163 0.088496 3.21223 1.610041 0.088496 3.84564 0.836873 0.088496 4.51674 0.096454 0.088496 5.22729 0.59817 0.088496 5.97783 1.23213 0.088496 6.76907 1.78591 0.088496 7.59812 2.23727 0.088496 8.45353 2.56782 0.088496 9.31676 2.7644 0.088496 10.1636 2.82537 0.088496 10.9695 2.76176 0.088496 11.7158 2.59865 0.088496 12.3926 2.36479 0.088496 12.9977 2.08895 0.088496 13.534 1.7951 0.088496 14.0063 1.50194 0.088496 14.4212 1.22473 0.088496 14.7857 0.97612 0.088496 15.1055 0.76495 0.088496 15.3854 0.59774 0.088496 15.6277 0.4784 0.088496 15.8338 0.41268 0.088496 15.9991 0.40106 0.088496 16.1151 0.42711 0.088496 18.42 0.42485 0.176991 18.4639 0.4673 0.176991 18.5159 0.53933 0.176991 18.565 0.66736 0.176991 18.5798 0.85782 0.176991 18.5391 1.10399 0.176991 18.4353 1.39761 0.176991 18.2662 1.73341 0.176991 18.0294 2.10663 0.176991 17.7216 2.51171 0.176991 17.3388 2.94127 0.176991 16.8762 3.38507 0.176991 16.3284 3.82912 0.176991 15.6908 4.25524 0.176991 14.9603 4.64015 0.176991 14.1379 4.95625 0.176991 13.2295 5.16592 0.176991 12.2532 5.23891 0.176991 11.2362 5.14938 0.176991 10.2115 4.88806 0.176991 9.2104 4.46063 0.176991 8.25628 3.88622 0.176991 7.362 3.19089 0.176991 6.53321 2.39985 0.176991 5.76963 1.53684 0.176991 5.06827 0.62224 0.176991 4.42425 0.326245 0.176991 3.83244 1.293653 0.176991 3.28665 2.266491 0.176991 2.78337 3.234314 0.176991 2.31902 4.187653 0.176991 1.88934 5.117585 0.176991 1.49036 6.016138 0.176991 1.12188 6.87766 0.176991 0.78171 7.69621 0.176991 0.46815 8.466684 0.176991 0.18088 9.185168 0.176991 0.081087 9.848127 0.176991 0.318146 10.45296 0.176991 0.530632 10.99784 0.176991 0.718627 11.4818 0.176991 0.882739 11.90455 0.176991 1.023307 12.26675 0.176991 1.141029 12.56993 0.176991 1.236859 12.81648 0.176991 1.312603 13.00956 0.176991 1.340605 13.16192 0.176991 1.297454 13.26108 0.176991 1.248172 13.30828 0.176991 1.201891 13.33285 0.176991 1.157916 13.34489 0.176991 1.098561 13.34667 0.176991 1.009179 13.31726 0.176991 0.9194 13.21672 0.176991 0.838239 13.05554 0.176991 0.731799 12.85146 0.176991 0.601098 12.60046 0.176991 0.445179 12.3005 0.176991 0.263451 11.95026 0.176991 0.055561 11.54917 0.176991 0.17842 11.09727 0.176991 0.43848 10.59538 0.176991 0.72424 10.04487 0.176991 1.03531 9.447749 0.176991 1.37127 8.806644 0.176991 1.7321 8.124957 0.176991 2.11594 7.405643 0.176991 2.52413 6.65385 0.176991 2.95678 5.874538 0.176991 3.41427 5.073249 0.176991 3.89876 4.25703 0.176991 4.4105 3.432289 0.176991 4.95174 2.607188 0.176991 5.52626 1.791665 0.176991 6.13569 0.995203 0.176991 6.78316 0.229634 0.176991 7.47332 0.48974 0.176991 8.2089 1.14583 0.176991 8.98875 1.72104 0.176991 9.80979 2.19323 0.176991 10.6614 2.54173 0.176991 11.5245 2.75211 0.176991 12.3735 2.82236 0.176991 13.1826 2.7646 0.176991 13.9324 2.60483 0.176991 14.6121 2.37209 0.176991 15.2191 2.09497 0.176991 15.7562 1.79823 0.176991 16.2285 1.50139 0.176991 16.6419 1.219 0.176991 17.002 0.96159 0.176991 17.3157 0.73909 0.176991 17.5877 0.55742 0.176991 17.8242 0.42504 0.176991 18.0273 0.3484 0.176991 18.1926 0.33059 0.176991 18.309 0.35696 0.176991 19.7523 0.39184 0.265487 19.7951 0.43585 0.265487 19.8452 0.5096 0.265487 19.8921 0.63902 0.265487 19.9056 0.83035 0.265487 19.8652 1.07756 0.265487 19.7625 1.37293 0.265487 19.5955 1.7114 0.265487 19.3614 2.08838 0.265487 19.0568 2.49844 0.265487 18.6777 2.93436 0.265487 18.2192 3.38611 0.265487 17.6758 3.83987 0.265487 17.0428 4.27829 0.265487 16.3154 4.67591 0.265487 15.4935 5.00275 0.265487 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1.503402 0.914841 12.5332 1.430826 0.914841 13.0375 1.301516 0.914841 13.4782 1.122805 0.914841 13.85 0.907211 0.914841 14.1503 0.672249 0.914841 14.3826 0.435398 0.914841 14.555 0.211031 0.914841 14.6757 0.01349 0.914841 14.7573 0.15365 0.914841 14.8091 0.28667 0.914841 14.8386 0.38523 0.914841 15.6882 0.41277 0.946903 15.6982 0.47167 0.946903 15.709 0.5575 0.946903 15.7174 0.6903 0.946903 15.714 0.87625 0.946903 15.686 1.11729 0.946903 15.6182 1.41365 0.946903 15.4939 1.76014 0.946903 15.2976 2.14703 0.946903 15.0157 2.5602 0.946903 14.6398 2.98302 0.946903 14.1678 3.39888 0.946903 13.6019 3.7931 0.946903 12.9471 4.15509 0.946903 12.2109 4.48 0.946903 11.3991 4.75844 0.946903 10.5183 4.97589 0.946903 9.57436 5.10582 0.946903 8.58252 5.1112 0.946903 7.56618 4.95673 0.946903 6.56234 4.62174 0.946903 5.60724 4.11263 0.946903 4.72363 3.45536 0.946903 3.92281 2.68063 0.946903 3.20526 1.81961 0.946903 2.56343 0.9004 0.946903 1.98847 0.055182 0.946903 1.47152 1.029758 0.946903 1.00578 2.009841 0.946903 0.58347 2.983341 0.946903 0.19771 3.940033 0.946903 0.155181 4.871969 0.946903 0.47836 5.772086 0.946903 0.776206 6.633546 0.946903 1.05042 7.451064 0.946903 1.302417 8.220007 0.946903 1.533706 8.936303 0.946903 1.745036 9.596744 0.946903 1.93678 10.19889 0.946903 2.109084 10.74109 0.946903 2.262085 11.22241 0.946903 2.395923 11.64275 0.946903 2.51102 12.00274 0.946903 2.607685 12.30398 0.946903 2.686166 12.54904 0.946903 2.743763 12.74241 0.946903 2.751111 12.89258 0.946903 2.717213 12.99188 0.946903 2.678322 13.04599 0.946903 2.638905 13.0783 0.946903 2.602452 13.0948 0.946903 2.551438 13.1026 0.946903 2.471134 13.07975 0.946903 2.389353 12.9958 0.946903 2.320314 12.85435 0.946903 2.243402 12.66814 0.946903 2.148293 12.43942 0.946903 2.032986 12.16689 0.946903 1.896188 11.84975 0.946903 1.735447 11.48845 0.946903 1.546833 11.08492 0.946903 1.327214 10.64155 0.946903 1.074303 10.16113 0.946903 0.787744 9.646146 0.946903 0.468802 9.098721 0.946903 0.11971 8.520839 0.946903 0.25661 7.914448 0.946903 0.65888 7.282863 0.946903 1.08827 6.631412 0.946903 1.54855 5.967752 0.946903 2.04492 5.301471 0.946903 2.58368 4.644503 0.946903 3.17079 4.010982 0.946903 3.81258 3.419007 0.946903 4.5157 2.894189 0.946903 5.27924 2.464149 0.946903 6.09129 2.150803 0.946903 6.92998 1.96194 0.946903 7.77105 1.890915 0.946903 8.59754 1.910174 0.946903 9.39911 1.980261 0.946903 10.1723 2.060498 0.946903 10.9148 2.118128 0.946903 11.6224 2.128736 0.946903 12.2891 2.080263 0.946903 12.9063 1.969728 0.946903 13.4655 1.80239 0.946903 13.9588 1.588368 0.946903 14.3813 1.34113 0.946903 14.7316 1.075945 0.946903 15.012 0.807579 0.946903 15.2281 0.549569 0.946903 15.3886 0.313334 0.946903 15.5031 0.106654 0.946903 15.5815 0.06576 0.946903 15.6321 0.20147 0.946903 15.6625 0.30115 0.946903 16.541 0.3055 1 16.5449 0.36779 1 16.5461 0.45747 1 16.5505 0.59379 1 16.5518 0.78306 1 16.5335 1.03081 1 16.4778 1.33638 1 16.3647 1.69566 1 16.1795 2.09895 1 15.9124 2.53449 1 15.5553 2.98818 1 15.103 3.44513 1 14.5542 3.88969 1 13.9092 4.3029 1 13.1705 4.66634 1 12.3426 4.96203 1 11.4353 5.17532 1 10.4628 5.29479 1 9.4415 5.30541 1 8.38997 5.18754 1 7.3345 4.92223 1 6.30812 4.4935 1 5.34082 3.90605 1 4.45321 3.18199 1 3.65358 2.35192 1 2.94088 1.446 1 2.30659 0.49096 1 1.7416 0.492369 1 1.23626 1.486853 1 0.78191 2.478642 1 0.36998 3.455844 1 0.004638 4.409377 1 0.345846 5.331499 1 0.658245 6.214988 1 0.944902 7.053858 1 1.207152 7.843348 1 1.446412 8.579276 1 1.664121 9.258121 1 1.863296 9.876529 1 2.041017 10.43376 1 2.19884 10.92843 1 2.336881 11.36044 1 2.45558 11.73042 1 2.555257 12.04003 1 2.636137 12.2919 1 2.695539 12.49066 1 2.705722 12.64465 1 2.672338 12.74728 1 2.633255 12.80361 1 2.593336 12.83753 1 2.556315 12.8548 1 2.504324 12.86345 1 2.422165 12.84142 1 2.337773 12.75593 1 2.267735 12.61152 1 2.189394 12.42128 1 2.092061 12.1878 1 1.973511 11.90983 1 1.831142 11.58712 1 1.661256 11.22077 1 1.459535 10.81306 1 1.222656 10.36675 1 0.948871 9.884633 1 0.637905 9.369358 1 0.290834 8.823337 1 0.09066 8.249061 1 0.5053 7.649715 1 0.95347 7.03014 1 1.43504 6.395345 1 1.9552 5.755126 1 2.52299 5.1244 1 3.1516 4.527003 1 3.84823 3.990246 1 4.612 3.543713 1 5.43193 3.211231 1 6.29014 3.001359 1 7.16744 2.91059 1 8.04429 2.918118 1 8.9071 2.987117 1 9.74901 3.071615 1 10.5673 3.130931 1 11.3571 3.143688 1 12.1122 3.097031 1 12.8243 2.985264 1 13.4841 2.809384 1 14.0822 2.57637 1 14.6112 2.297871 1 15.0667 1.988345 1 15.4479 1.663228 1 15.7577 1.337284 1 16.0012 1.02338 1 16.1857 0.732034 1 16.3196 0.471125 1 16.4118 0.246263 1 16.4713 0.061188 1 16.5071 0.0829 1 16.5266 0.18736 1 17.2023 0.22801 1.035398 17.213 0.29062 1.035398 17.2249 0.38144 1.035398 17.2349 0.52121 1.035398 17.234 0.71599 1.035398 17.2101 0.96932 1.035398 17.1489 1.28182 1.035398 17.0363 1.64954 1.035398 16.858 2.06481 1.035398 16.6015 2.51723 1.035398 16.2555 2.99524 1.035398 15.8117 3.48121 1.035398 15.2658 3.95612 1.035398 14.6179 4.39879 1.035398 13.8721 4.78809 1.035398 13.0336 5.10401 1.035398 12.1114 5.3283 1.035398 11.1198 5.44894 1.035398 10.0771 5.46107 1.035398 9.00117 5.35578 1.035398 7.91544 5.11745 1.035398 6.84661 4.73234 1.035398 5.82253 4.19646 1.035398 4.87107 3.51792 1.035398 4.00625 2.72121 1.035398 3.23605 1.83164 1.035398 2.55356 0.88053 1.035398 1.94904 0.10724 1.035398 1.41224 1.111866 1.035398 0.93231 2.117024 1.035398 0.4997 3.109615 1.035398 0.10855 4.079731 1.035398 0.246536 5.018708 1.035398 0.570214 5.919069 1.035398 0.866226 6.774414 1.035398 1.137008 7.579478 1.035398 1.384338 8.329882 1.035398 1.607856 9.022591 1.035398 1.810134 9.654333 1.035398 1.992015 10.22314 1.035398 2.153471 10.7281 1.035398 2.294601 11.16912 1.035398 2.415913 11.54683 1.035398 2.517767 11.86292 1.035398 2.600395 12.12007 1.035398 2.661202 12.32298 1.035398 2.673381 12.47989 1.035398 2.640243 12.5851 1.035398 2.601092 12.64314 1.035398 2.560863 12.67837 1.035398 2.523268 12.69639 1.035398 2.470273 12.7057 1.035398 2.386452 12.68377 1.035398 2.300332 12.59592 1.035398 2.229951 12.44812 1.035398 2.150157 12.25387 1.035398 2.050658 12.01559 1.035398 1.928865 11.73217 1.035398 1.781145 11.40383 1.035398 1.603053 11.03206 1.035398 1.390002 10.61949 1.035398 1.138876 10.16898 1.035398 0.847955 9.683514 1.035398 0.516739 9.166095 1.035398 0.146122 8.619447 1.035398 0.26295 8.046769 1.035398 0.70949 7.451735 1.035398 1.19367 6.839446 1.035398 1.71754 6.217202 1.035398 2.28833 5.598101 1.035398 2.91988 5.005999 1.035398 3.62268 4.472276 1.035398 4.3959 4.028635 1.035398 5.22924 3.702221 1.035398 6.10689 3.507849 1.035398 7.00809 3.444543 1.035398 7.91326 3.49083 1.035398 8.80532 3.602839 1.035398 9.67845 3.731738 1.035398 10.5325 3.831059 1.035398 11.3654 3.867076 1.035398 12.1709 3.82265 1.035398 12.9366 3.692987 1.035398 13.6495 3.48744 1.035398 14.2997 3.220694 1.035398 14.8808 2.908335 1.035398 15.3892 2.565466 1.035398 15.8238 2.206099 1.035398 16.1852 1.842749 1.035398 16.4758 1.487145 1.035398 16.7015 1.150504 1.035398 16.8704 0.842089 1.035398 16.9922 0.569213 1.035398 17.0764 0.33639 1.035398 17.1309 0.146911 1.035398 17.1626 7.33E05 1.035398 17.1783 0.1064 1.035398 17.6984 0.16988 1.061947 17.6979 0.24207 1.061947 17.6976 0.34472 1.061947 17.7018 0.49228 1.061947 17.7175 0.68735 1.061947 17.7042 0.93683 1.061947 17.6524 1.24748 1.061947 17.5462 1.61799 1.061947 17.3691 2.04024 1.061947 17.1086 2.50008 1.061947 16.7574 2.98362 1.061947 16.3137 3.47892 1.061947 15.7756 3.9752 1.061947 15.1391 4.4537 1.061947 14.4001 4.88454 1.061947 13.5604 5.23596 1.061947 12.6284 5.48016 1.061947 11.6214 5.60413 1.061947 10.562 5.60837 1.061947 9.46962 5.4969 1.061947 8.36271 5.26992 1.061947 7.26399 4.91166 1.061947 6.20283 4.409 1.061947 5.20611 3.76273 1.061947 4.29264 2.99168 1.061947 3.47614 2.11846 1.061947 2.75319 1.17418 1.061947 2.1155 0.18542 1.061947 1.55215 0.825561 1.061947 1.05133 1.840537 1.061947 0.60253 2.845055 1.061947 0.19719 3.827563 1.061947 0.16907 4.779568 1.061947 0.501695 5.693057 1.061947 0.805098 6.561244 1.061947 1.081503 7.378826 1.061947 1.334422 8.140762 1.061947 1.563626 8.843933 1.061947 1.769554 9.485713 1.061947 1.954692 10.06356 1.061947 2.118994 10.57657 1.061947 2.262555 11.02462 1.061947 2.385907 11.40839 1.061947 2.489467 11.72954 1.061947 2.573469 11.99081 1.061947 2.635429 12.19695 1.061947 2.64918 12.35614 1.061947 2.616168 12.46337 1.061947 2.576969 12.52273 1.061947 2.536505 12.55898 1.061947 2.498402 12.5776 1.061947 2.444529 12.58742 1.061947 2.359334 12.56549 1.061947 2.271859 12.4755 1.061947 2.201308 12.32471 1.061947 2.120214 12.12703 1.061947 2.018818 11.88466 1.061947 1.894155 11.59663 1.061947 1.741755 11.26351 1.061947 1.556687 10.88714 1.061947 1.334209 10.47036 1.061947 1.071116 10.0163 1.061947 0.765788 9.528073 1.061947 0.41772 9.008884 1.061947 0.027244 8.462019 1.061947 0.40494 7.89109 1.061947 0.87786 7.300073 1.061947 1.39223 6.69491 1.061947 1.95064 6.084095 1.061947 2.55991 5.481696 1.061947 3.23454 4.914938 1.061947 3.98944 4.427664 1.061947 4.82023 4.060552 1.061947 5.70847 3.843353 1.061947 6.6241 3.77954 1.061947 7.54858 3.842532 1.061947 8.46277 3.980712 1.061947 9.36195 4.140256 1.061947 10.2431 4.273356 1.061947 11.1063 4.346435 1.061947 11.9489 4.336282 1.061947 12.7601 4.233538 1.061947 13.5254 4.042562 1.061947 14.2316 3.777572 1.061947 14.87 3.457088 1.061947 15.4367 3.099763 1.061947 15.9307 2.721971 1.061947 16.3529 2.336659 1.061947 16.7041 1.954309 1.061947 16.9868 1.58445 1.061947 17.2055 1.236711 1.061947 17.369 0.919929 1.061947 17.488 0.641205 1.061947 17.5727 0.404717 1.061947 17.6303 0.214567 1.061947 17.6655 0.072921 1.061947 17.6853 0.03172 1.061947 17.6952 0.11264 1.061947

(12) In the above Table 1, the plane Zadim=0 corresponds to the reference plane P0 situated at the base of the profile. This plane P0 is the intersection of the stacking axis AE of the set of vanes with the axisymmetric surface of the hub, i.e. it passes via the intersection between the axis AE and the surface 16A where it is assembled with the inner shroud 16. The plane Zadim=1 corresponds to the reference plane P1 situated at the top of the profile. This plane P1 is the intersection between the axis AE and the axisymmetric surface of the casing, i.e. it passes via the intersection of the axis AE with the surface where it is assembled with the outer ring 12.

(13) By convention, the stacking axis AE of the set of vanes, for the vane of a nozzle, is the axis that extends in the radial direction Z and passes through the middle of the inter-vane throat. For a given vane, the inter-vane throat is the location where the distance between the trailing edge of the vane in question and the suction side of the preceding vane in the direction of rotation of the turbine is at a minimum.

(14) This is the axis on which the various X,Y sections of the set of vanes are stacked when designing the set of vanes.

(15) As mentioned at the beginning of the present description, the aerodynamic profile of the invention is substantially identical to the nominal profile defined in the above table, i.e. it departs from said nominal profile by very little at most, being defined in particular within an envelope of 1 mm in a direction normal to the surface of the nominal profile, and/or having X,Y coordinates lying within a range of 5% relative to the coordinates X,Y of the nominal profile.

(16) The coordinate Zadim is non-dimensional, i.e. for a point P, situated at a distance D from the plane P0 (where D is measured along the axis Z), the value of Zadim is D/H, where H represents the total height of the profile as measured between the planes P0 and P1. Naturally, in the Table 1 above, by multiplying the coordinate Zadim by the height H, it is possible to obtain the complete coordinates of the vane.

(17) By way of example, the total height H is preferably about 100 mm10%. By way of example, the plane P0 is situated at a distance of about 385 mm10% from the axis A.

(18) In the above table, the profile is characterized by twenty-one section planes at constant Zadim coordinates, for which the coordinates X and Y are specified. These twenty-one section planes include seventeen section planes located between Zadim=0 and Zadim=1, and thus arranged in the fluid stream, these section planes being distributed from P0 to P1. The twenty-one section planes also include four section planes which are substantially outside the fluid stream (two section planes with Zadim<0, and two section planes with Zadim>1), these four section planes being provided for ensuring geometric continuity of the stacking, close to the head and the foot, respectively. In each section plane at constant coordinate Zadim, the section of the profile is given by a continuous and smooth curve, interconnecting all of the points (X,Y). In each section plane, the profile is interpolated so as to generate a uniform profile. Between the section planes, the profile is to be interpolated so as to generate a complete vane, as homogeneous as possible.

(19) It is advantageous for the nozzle that includes the vane of the invention to have 140 to 160 vanes that present aerodynamic profiles as defined above.