Airfoil shape for a turbine nozzle

Abstract

The second stage nozzle has an airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein X and Y values are in inches and define airfoil profile sections at each distance Z and Z is a non-dimensional value from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches. The profile sections at the Z distances are joined smoothly with one another to form a complete airfoil shape. The X and Y distances may be scalable to provide a scaled-up or scaled-down airfoil for the nozzle. The nominal airfoil given by the X, Y and Z distances lies within an envelope of ±0.100 inches.

Description

BACKGROUND OF THE INVENTION

The present invention relates to an airfoil for a nozzle stage of a gas turbine and particularly relates to an airfoil for the second stage nozzle of a gas turbine.

Many specific requirements must be met for each stage of the hot gas path section of a gas turbine in order to meet design goals, including overall improved efficiency and loading. Particularly, the second stage of the turbine section must meet efficiency, heat load, life, throat area and vectoring requirements to meet that goal.

BRIEF DESCRIPTION OF THE INVENTION

In accordance with a preferred embodiment of the present invention, there is provided an airfoil shape for a nozzle stage of a gas turbine, preferably the second stage nozzle, that enhances the performance of the gas turbine. The airfoil shape hereof improves the interaction between various stages in the turbine, affords improved aerodynamic efficiency through the second stage and improves the second stage blade loading. Thus, the profile of each second stage nozzle airfoil which in part defines the hot gas path annulus about the nozzle stage meets the requirements for improved stage efficiency, as well as parts life and manufacturability.

In a preferred embodiment according to the present invention, there is provided a turbine nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

In a further preferred embodiment according to the present invention, there is provided a turbine nozzle including an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.

In a further preferred embodiment according to the present invention, there is provided a turbine comprising a turbine stage having a plurality of nozzles, each of the nozzles including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic representation of a hot gas path through a gas turbine and which illustrates a second stage nozzle airfoil according to a preferred embodiment of the present invention;

FIG. 2 is a perspective view of a pair of the second stage nozzles according to the present invention, including in dashed lines, portions of the inner and outer nozzle bands;

FIG. 3 is a view similar to FIG. 2 from a slightly different perspective;

FIG. 4 is a side elevational view of the second stage nozzle airfoil;

FIG. 5 is a generalized cross-sectional view of the airfoil hereof taken at a location through the second stage nozzle airfoil; and

FIG. 6 is a schematic view illustrating the second stage nozzle airfoil in relation to the turbine centerline.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to the drawings, particularly to FIG. 1 , there is illustrated a multi-stage turbine section, generally designated 10 , for a turbine 12 including a plurality of turbine stages. Three stages are illustrated. For example, the first stage comprises a plurality of circumferentially spaced nozzles 14 and buckets 16 , the nozzles being circumferentially spaced one from the other and fixed about the axis of the rotor. The buckets 16 , of course, are mounted on and circumferentially spaced about the rotor, not shown. A second stage of the turbine 12 is also illustrated, including a plurality of circumferentially spaced nozzles 18 and a plurality of buckets 20 mounted on the rotor. A third stage is also illustrated, including a plurality of circumferentially spaced nozzles 22 and buckets 24 . It will be appreciated that the nozzles and buckets lie in a hot gas path indicated by the arrow 26 .

Referring to FIGS. 2 and 3 , it will be appreciated that the nozzle stages, for example, the second stage nozzle 18 , extend generally radially between inner and outer bands 28 and 30 , respectively, which also in part define the hot gas path 26 through turbine 12 . Typically, the nozzles 18 are provided as either singlets or doublets which are secured together to form a circumferential array of nozzles about the axis of rotation of the rotor. It will be appreciated that each nozzle 18 is in the shape of an airfoil 32 , as illustrated in FIG. 5 . That is, the nozzle 18 has a profile at any cross-section in the shape of an airfoil 32 . In this preferred embodiment, there are thirty-two airfoils which, together with the inner and outer bands 28 and 30 , constitute the nozzles of the second stage of the turbine.

To define the airfoil shape of the second stage nozzle airfoil which optimizes the guided hot gas turning, interactions among other stages in the turbine and overall efficiency of the turbine, there are a unique set or loci of points in space that meet the stage requirements and can be manufactured. This unique loci of points meets the requirements for nozzle loading and stage efficiency and are arrived at by iteration between aerodynamics and nozzle mechanical loading, enabling the turbine to run in an efficient, safe and smooth manner. The loci which defines the nozzle airfoil profile comprises a set of 981 points. A Cartesian coordinate system of X, Y and Z values given in Table I below defines the profile of the airfoil. The values for the X and Y coordinates are set forth in inches in Table I, although other units of dimensions may be used when the values are appropriately converted. The Z values set forth in Table I are non-dimensional values from 0 to 1. To convert the Z value to a Z distance in inches, the non-dimensional Z values given in Table I are multiplied by a constant in inches, e.g., the height of the nozzle airfoil. The airfoil height is measured from a plane 38 ( FIG. 6 ) passing through the root of the nozzle airfoil outwardly to the airfoil tip. The preferred root radius 36 for each nozzle of the second stage from the rotor axis 34 is 22.345 inches. In a preferred embodiment, the height of the second stage airfoil nozzle from the plane 38 intersecting and normal to the root radius is 4.309 inches. The coordinate system has orthogonally related X, Y and Z axes with the Z axis extending perpendicular to a plane normal to a plane containing the X and Y values. The Y axis lies parallel to the turbine rotor centerline, i.e., the rotary axis 34 .

By defining X and Y coordinate values at selective locations in a Z direction normal to the X, Y plane, the profile of the airfoil at each Z distance can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each distance Z is fixed. The surface profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent cross-sections to one another to form the airfoil. The values set forth in Table I represent the airfoil profiles at ambient, non-operating or non-hot conditions and are for an uncoated airfoil. The sign convention assigns a positive value to Z values and positive and negative values for X and Y coordinates as typically used in the Cartesian coordinate system.

The Table I values are generated and shown to three decimal places for determining the profile of the nozzle airfoil. There are typical manufacturing tolerances, as well as coatings, which must be accounted for in the actual profile of the airfoil. Accordingly, the values for the profile given in Table I are for a nominal airfoil. Thus, the actual profile of the nozzle airfoil may lie in a range of variations between measured points on an airfoil surface and their ideal position as listed in Table I. The design is robust to this variation to the extent that mechanical and aerodynamic functions are not impaired. It will be therefore be appreciated that ± typical manufacturing tolerances, i.e., ± values, including any coating thicknesses, are additive to the X and Y values given in Table I below. Accordingly, a distance of ±0.100 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular second stage nozzle airfoil.

The coordinate values are given below in Table I for the preferred nominal profile envelope:

TABLE I
X	Y	Z′	X	Y	Z′	X	Y	Z′
0.547	7.802	0.000	0.388	9.860	0.000	−2.618	11.047	0.000
0.666	7.815	0.000	−1.007	9.873	0.000	−3.044	11.054	0.000
0.429	7.816	0.000	0.283	9.918	0.000	−2.732	11.085	0.000
0.780	7.850	0.000	−1.089	9.935	0.000	−3.136	11.098	0.000
0.320	7.867	0.000	0.177	9.973	0.000	−2.846	11.123	0.000
0.320	7.867	0.000	−1.171	9.996	0.000	−2.959	11.161	0.000
0.887	7.905	0.000	0.069	10.026	0.000	−3.178	11.178	0.000
0.246	7.937	0.000	−1.255	10.055	0.000	−3.178	11.178	0.000
0.984	7.975	0.000	−0.039	10.078	0.000	−3.073	11.199	0.000
0.194	8.025	0.000	−1.340	10.113	0.000	0.323	7.742	0.125
1.071	8.057	0.000	−0.148	10.128	0.000	0.447	7.752	0.125
0.161	8.122	0.000	−1.425	10.169	0.000	0.201	7.761	0.125
1.146	8.150	0.000	−0.257	10.176	0.000	0.566	7.785	0.125
0.141	8.222	0.000	−0.368	10.224	0.000	0.091	7.815	0.125
1.210	8.252	0.000	−1.512	10.224	0.000	0.091	7.815	0.125
0.116	8.322	0.000	−0.478	10.270	0.000	0.677	7.839	0.125
1.261	8.360	0.000	−1.599	10.279	0.000	0.016	7.890	0.125
0.087	8.420	0.000	−0.589	10.316	0.000	0.776	7.913	0.125
1.299	8.474	0.000	−1.686	10.332	0.000	−0.037	7.982	0.125
0.053	8.517	0.000	−0.700	10.360	0.000	0.862	8.003	0.125
1.322	8.591	0.000	−1.775	10.384	0.000	−0.068	8.084	0.125
0.015	8.612	0.000	−0.812	10.404	0.000	0.933	8.104	0.125
−0.027	8.705	0.000	−1.863	10.436	0.000	−0.087	8.188	0.125
1.329	8.711	0.000	−0.924	10.447	0.000	0.991	8.213	0.125
−0.073	8.797	0.000	−1.952	10.486	0.000	−0.111	8.292	0.125
1.320	8.830	0.000	−1.036	10.490	0.000	1.035	8.329	0.125
−0.123	8.887	0.000	−1.148	10.532	0.000	−0.143	8.393	0.125
1.295	8.947	0.000	−2.042	10.537	0.000	1.065	8.449	0.125
−0.175	8.975	0.000	−1.260	10.573	0.000	−0.182	8.492	0.125
1.253	9.060	0.000	−2.132	10.586	0.000	1.080	8.572	0.125
−0.231	9.061	0.000	−1.373	10.614	0.000	−0.227	8.589	0.125
−0.290	9.145	0.000	−2.222	10.635	0.000	−0.277	8.683	0.125
1.198	9.166	0.000	−1.486	10.655	0.000	1.081	8.695	0.125
−0.351	9.227	0.000	−2.312	10.683	0.000	−0.332	8.774	0.125
1.132	9.266	0.000	−1.599	10.695	0.000	1.066	8.818	0.125
−0.415	9.307	0.000	−2.403	10.731	0.000	−0.390	8.864	0.125
1.056	9.359	0.000	−1.712	10.735	0.000	1.036	8.939	0.125
−0.482	9.385	0.000	−1.825	10.775	0.000	−0.451	8.951	0.125
0.973	9.445	0.000	−2.494	10.778	0.000	−0.515	9.036	0.125
−0.551	9.461	0.000	−1.938	10.815	0.000	0.993	9.054	0.125
0.884	9.525	0.000	−2.585	10.825	0.000	−0.581	9.119	0.125
−0.622	9.535	0.000	−2.051	10.854	0.000	0.936	9.164	0.125
0.791	9.600	0.000	−2.677	10.872	0.000	−0.649	9.200	0.125
−0.696	9.606	0.000	−2.164	10.893	0.000	0.868	9.268	0.125
0.694	9.671	0.000	−2.768	10.918	0.000	−0.720	9.280	0.125
−0.771	9.676	0.000	−2.278	10.932	0.000	−0.793	9.358	0.125
0.594	9.737	0.000	−2.860	10.963	0.000	0.791	9.364	0.125
−0.848	9.743	0.000	−2.391	10.970	0.000	−0.867	9.434	0.125
0.492	9.800	0.000	−2.952	11.009	0.000	0.706	9.454	0.125
−0.927	9.809	0.000	−2.505	11.009	0.000	−0.943	9.509	0.125
0.615	9.538	0.125	−2.422	10.899	0.125	0.800	9.176	0.250
−1.020	9.582	0.125	−3.064	10.914	0.125	−0.812	9.185	0.250
0.519	9.617	0.125	−2.539	10.938	0.125	−0.886	9.269	0.250
−1.099	9.653	0.125	−3.159	10.961	0.125	0.728	9.282	0.250
0.419	9.690	0.125	−2.657	10.978	0.125	−0.961	9.350	0.250
−1.179	9.723	0.125	−3.255	11.009	0.125	0.647	9.382	0.250
0.316	9.759	0.125	−2.774	11.017	0.125	−1.039	9.430	0.250
−1.261	9.792	0.125	−3.351	11.055	0.125	0.559	9.475	0.250
0.211	9.825	0.125	−2.892	11.056	0.125	−1.118	9.509	0.250
−1.343	9.859	0.125	−3.009	11.095	0.125	0.464	9.562	0.250
0.104	9.887	0.125	−3.446	11.102	0.125	−1.199	9.585	0.250
−1.427	9.924	0.125	−3.127	11.134	0.125	0.365	9.643	0.250
−0.005	9.946	0.125	−3.542	11.147	0.125	−1.282	9.660	0.250
−1.512	9.989	0.125	−3.245	11.172	0.125	0.261	9.719	0.250
−0.115	10.003	0.125	−3.362	11.211	0.125	−1.366	9.733	0.250
−1.598	10.051	0.125	−3.589	11.229	0.125	0.155	9.790	0.250
−0.226	10.058	0.125	−3.589	11.229	0.125	−1.451	9.804	0.250
−0.338	10.110	0.125	−3.480	11.249	0.125	0.045	9.858	0.250
−1.685	10.113	0.125	0.235	7.680	0.250	−1.538	9.874	0.250
−0.451	10.161	0.125	0.362	7.694	0.250	−0.066	9.922	0.250
−1.773	10.173	0.125	0.108	7.696	0.250	−1.626	9.942	0.250
−0.564	10.211	0.125	0.485	7.731	0.250	−0.179	9.983	0.250
−1.861	10.232	0.125	−0.009	7.748	0.250	−1.715	10.009	0.250
−0.678	10.259	0.125	−0.009	7.748	0.250	−0.293	10.041	0.250
−1.950	10.290	0.125	0.598	7.790	0.250	−1.806	10.074	0.250
−0.793	10.306	0.125	−0.092	7.822	0.250	−0.409	10.097	0.250
−2.040	10.347	0.125	0.699	7.870	0.250	−1.897	10.137	0.250
−0.908	10.353	0.125	−0.152	7.915	0.250	−0.525	10.151	0.250
−1.023	10.398	0.125	0.784	7.966	0.250	−1.990	10.199	0.250
−2.131	10.403	0.125	−0.191	8.020	0.250	−0.642	10.203	0.250
−1.139	10.442	0.125	0.853	8.074	0.250	−0.760	10.254	0.250
−2.222	10.457	0.125	−0.215	8.128	0.250	−2.083	10.260	0.250
−1.254	10.486	0.125	0.907	8.190	0.250	−0.879	10.303	0.250
−2.314	10.511	0.125	−0.244	8.236	0.250	−2.177	10.320	0.250
−1.370	10.529	0.125	0.945	8.313	0.250	−0.998	10.351	0.250
−2.406	10.564	0.125	−0.281	8.341	0.250	−2.272	10.378	0.250
−1.487	10.572	0.125	0.968	8.439	0.250	−1.118	10.398	0.250
−1.603	10.614	0.125	−0.324	8.444	0.250	−2.367	10.435	0.250
−2.499	10.616	0.125	−0.372	8.544	0.250	−1.238	10.444	0.250
−1.720	10.656	0.125	0.976	8.567	0.250	−1.358	10.489	0.250
−2.593	10.668	0.125	−0.425	8.642	0.250	−2.464	10.491	0.250
−1.837	10.697	0.125	0.968	8.695	0.250	−1.478	10.533	0.250
−2.686	10.718	0.125	−0.482	8.738	0.250	−2.560	10.546	0.250
−1.953	10.738	0.125	0.947	8.822	0.250	−1.599	10.576	0.250
−2.780	10.768	0.125	−0.542	8.831	0.250	−2.658	10.600	0.250
−2.070	10.779	0.125	−0.606	8.923	0.250	−1.720	10.619	0.250
−2.875	10.817	0.125	0.911	8.945	0.250	−2.756	10.653	0.250
−2.187	10.819	0.125	−0.672	9.012	0.250	−1.841	10.662	0.250
−2.305	10.859	0.125	0.861	9.063	0.250	−1.962	10.704	0.250
−2.969	10.866	0.125	−0.741	9.099	0.250	−2.854	10.706	0.250
−2.084	10.745	0.250	−0.524	8.689	0.375	−2.709	10.579	0.375
−2.953	10.757	0.250	0.973	8.726	0.375	−1.614	10.586	0.375
−2.206	10.786	0.250	−0.583	8.789	0.375	−1.739	10.630	0.375
−3.052	10.808	0.250	0.942	8.856	0.375	−2.813	10.634	0.375
−2.327	10.827	0.250	−0.646	8.888	0.375	−1.865	10.672	0.375
−3.151	10.858	0.250	0.897	8.981	0.375	−2.917	10.688	0.375
−2.449	10.867	0.250	−0.712	8.985	0.375	−1.992	10.715	0.375
−2.571	10.907	0.250	−0.782	9.080	0.375	−3.021	10.741	0.375
−3.251	10.908	0.250	0.840	9.101	0.375	−2.118	10.756	0.375
−2.693	10.947	0.250	−0.854	9.172	0.375	−3.126	10.793	0.375
−3.351	10.957	0.250	0.771	9.214	0.375	−2.244	10.797	0.375
−2.815	10.987	0.250	−0.929	9.262	0.375	−2.371	10.838	0.375
−3.451	11.005	0.250	0.692	9.322	0.375	−3.231	10.845	0.375
−2.937	11.026	0.250	−1.006	9.350	0.375	−2.498	10.879	0.375
−3.552	11.053	0.250	0.605	9.422	0.375	−3.337	10.896	0.375
−3.060	11.066	0.250	−1.087	9.435	0.375	−2.625	10.919	0.375
−3.652	11.101	0.250	0.511	9.516	0.375	−3.443	10.946	0.375
−3.182	11.105	0.250	−1.170	9.518	0.375	−2.752	10.958	0.375
−3.304	11.143	0.250	−1.255	9.599	0.375	−3.549	10.996	0.375
−3.753	11.148	0.250	0.411	9.604	0.375	−2.879	10.998	0.375
−3.427	11.182	0.250	−1.342	9.677	0.375	−3.006	11.037	0.375
−3.854	11.195	0.250	0.307	9.687	0.375	−3.655	11.046	0.375
−3.549	11.221	0.250	−1.431	9.753	0.375	−3.133	11.076	0.375
−3.671	11.259	0.250	0.199	9.764	0.375	−3.761	11.095	0.375
−3.906	11.278	0.250	−1.522	9.827	0.375	−3.260	11.115	0.375
−3.906	11.278	0.250	0.087	9.837	0.375	−3.868	11.144	0.375
−3.794	11.298	0.250	−1.615	9.899	0.375	−3.387	11.154	0.375
0.277	7.624	0.375	−0.027	9.906	0.375	−3.515	11.193	0.375
0.144	7.628	0.375	−1.709	9.969	0.375	−3.975	11.193	0.375
0.407	7.649	0.375	−0.143	9.971	0.375	−3.642	11.231	0.375
0.019	7.671	0.375	−0.260	10.033	0.375	−4.081	11.241	0.375
0.019	7.671	0.375	−1.805	10.036	0.375	−3.769	11.270	0.375
0.530	7.698	0.375	−0.379	10.092	0.375	−3.897	11.308	0.375
−0.076	7.740	0.375	−1.902	10.102	0.375	−4.140	11.326	0.375
0.643	7.769	0.375	−0.500	10.149	0.375	−4.140	11.326	0.375
−0.149	7.831	0.375	−2.000	10.167	0.375	−4.024	11.346	0.375
0.741	7.858	0.375	−0.621	10.203	0.375	0.305	7.562	0.500
−0.202	7.936	0.375	−2.099	10.230	0.375	0.442	7.577	0.500
0.824	7.962	0.375	−0.743	10.256	0.375	0.171	7.588	0.500
−0.239	8.047	0.375	−2.199	10.291	0.375	0.171	7.588	0.500
0.890	8.077	0.375	−0.866	10.307	0.375	0.571	7.623	0.500
−0.277	8.158	0.375	−2.299	10.351	0.375	0.062	7.647	0.500
0.940	8.201	0.375	−0.990	10.356	0.375	0.689	7.693	0.500
−0.319	8.267	0.375	−1.114	10.404	0.375	−0.028	7.732	0.500
0.973	8.329	0.375	−2.401	10.410	0.375	0.794	7.781	0.500
−0.365	8.375	0.375	−1.238	10.451	0.375	−0.097	7.835	0.500
0.989	8.461	0.375	−2.503	10.467	0.375	0.885	7.884	0.500
−0.414	8.481	0.375	−1.363	10.497	0.375	−0.151	7.946	0.500
−0.467	8.586	0.375	−2.606	10.524	0.375	0.962	7.998	0.500
0.989	8.594	0.375	−1.488	10.542	0.375	−0.199	8.061	0.500
1.024	8.121	0.500	−2.331	10.369	0.500	0.848	7.621	0.625
−0.245	8.176	0.500	−1.022	10.415	0.500	0.219	7.625	0.625
1.069	8.251	0.500	−2.439	10.429	0.500	0.953	7.716	0.625
−0.291	8.291	0.500	−1.151	10.463	0.500	0.129	7.720	0.625
1.098	8.385	0.500	−2.549	10.487	0.500	1.044	7.825	0.625
−0.339	8.405	0.500	−1.280	10.510	0.500	0.055	7.829	0.625
−0.391	8.518	0.500	−2.658	10.545	0.500	1.122	7.943	0.625
1.110	8.522	0.500	−1.410	10.555	0.500	−0.006	7.946	0.625
−0.446	8.629	0.500	−1.540	10.600	0.500	−0.058	8.067	0.625
1.104	8.660	0.500	−2.769	10.601	0.500	1.188	8.069	0.625
−0.505	8.738	0.500	−1.671	10.644	0.500	−0.108	8.189	0.625
1.080	8.795	0.500	−2.880	10.657	0.500	1.240	8.200	0.625
−0.568	8.845	0.500	−1.801	10.687	0.500	−0.157	8.311	0.625
1.040	8.927	0.500	−2.991	10.712	0.500	1.279	8.337	0.625
−0.636	8.949	0.500	−1.932	10.730	0.500	−0.208	8.432	0.625
−0.707	9.050	0.500	−3.102	10.767	0.500	1.300	8.477	0.625
0.985	9.053	0.500	−2.063	10.771	0.500	−0.263	8.552	0.625
−0.783	9.148	0.500	−2.195	10.813	0.500	1.304	8.618	0.625
0.916	9.172	0.500	−3.214	10.820	0.500	−0.323	8.669	0.625
−0.862	9.244	0.500	−2.326	10.853	0.500	1.289	8.759	0.625
0.837	9.284	0.500	−3.326	10.874	0.500	−0.389	8.783	0.625
−0.944	9.337	0.500	−2.457	10.894	0.500	−0.459	8.894	0.625
0.748	9.389	0.500	−3.438	10.926	0.500	1.255	8.897	0.625
−1.030	9.427	0.500	−2.589	10.934	0.500	−0.535	9.002	0.625
0.652	9.488	0.500	−2.721	10.973	0.500	1.204	9.029	0.625
−1.118	9.514	0.500	−3.551	10.979	0.500	−0.616	9.106	0.625
0.550	9.580	0.500	−2.853	11.013	0.500	1.137	9.154	0.625
−1.209	9.598	0.500	−3.663	11.031	0.500	−0.701	9.206	0.625
0.443	9.667	0.500	−2.985	11.052	0.500	1.057	9.270	0.625
−1.302	9.679	0.500	−3.776	11.082	0.500	−0.790	9.303	0.625
0.332	9.748	0.500	−3.117	11.090	0.500	0.966	9.379	0.625
−1.398	9.758	0.500	−3.249	11.129	0.500	−0.883	9.397	0.625
0.218	9.824	0.500	−3.889	11.133	0.500	0.868	9.481	0.625
−1.496	9.834	0.500	−3.381	11.167	0.500	−0.978	9.487	0.625
0.101	9.897	0.500	−4.002	11.184	0.500	−1.077	9.574	0.625
−1.596	9.908	0.500	−3.513	11.205	0.500	0.762	9.576	0.625
−0.019	9.965	0.500	−4.115	11.235	0.500	−1.178	9.658	0.625
−1.697	9.979	0.500	−3.645	11.243	0.500	0.652	9.665	0.625
−0.140	10.030	0.500	−3.778	11.281	0.500	−1.282	9.740	0.625
−1.800	10.049	0.500	−4.228	11.286	0.500	0.537	9.748	0.625
−0.263	10.092	0.500	−3.910	11.319	0.500	−1.387	9.818	0.625
−1.904	10.116	0.500	−4.042	11.356	0.500	0.419	9.826	0.625
−0.387	10.151	0.500	−4.295	11.373	0.500	−1.495	9.894	0.625
−2.009	10.182	0.500	−4.295	11.373	0.500	0.298	9.900	0.625
−0.512	10.208	0.500	−4.175	11.393	0.500	−1.604	9.968	0.625
−2.115	10.246	0.500	0.592	7.506	0.625	0.175	9.971	0.625
−0.639	10.262	0.500	0.451	7.508	0.625	0.050	10.037	0.625
−2.223	10.308	0.500	0.451	7.508	0.625	−1.714	10.040	0.625
−0.766	10.315	0.500	0.727	7.547	0.625	−0.077	10.101	0.625
−0.894	10.366	0.500	0.327	7.551	0.625	−1.826	10.110	0.625
−0.205	10.161	0.625	−4.119	11.404	0.625	−1.314	9.867	0.750
−1.939	10.178	0.625	−4.380	11.419	0.625	0.538	9.920	0.750
−0.335	10.219	0.625	4.380	11.419	0.625	−1.431	9.944	0.750
−2.052	10.244	0.625	−4.256	11.440	0.625	0.411	9.991	0.750
−0.465	10.275	0.625	0.868	7.440	0.750	−1.549	10.019	0.750
−2.167	10.309	0.625	0.868	7.440	0.750	0.283	10.058	0.750
−0.596	10.329	0.625	0.729	7.459	0.750	−1.669	10.093	0.750
−2.282	10.372	0.625	1.009	7.470	0.750	0.153	10.122	0.750
−0.728	10.381	0.625	0.601	7.515	0.750	−1.789	10.164	0.750
−0.861	10.431	0.625	1.130	7.548	0.750	0.021	10.184	0.750
−2.398	10.434	0.625	0.486	7.595	0.750	−1.911	10.234	0.750
−0.994	10.480	0.625	1.227	7.656	0.750	−0.112	10.242	0.750
−2.515	10.495	0.625	0.391	7.698	0.750	−0.245	10.298	0.750
−1.127	10.527	0.625	1.306	7.777	0.750	−2.034	10.301	0.750
−2.632	10.555	0.625	0.315	7.815	0.750	−0.380	10.352	0.750
−1.261	10.573	0.625	1.375	7.905	0.750	−2.157	10.368	0.750
−2.750	10.614	0.625	0.250	7.939	0.750	−0.515	10.405	0.750
−1.396	10.619	0.625	1.435	8.037	0.750	−2.281	10.433	0.750
−1.530	10.663	0.625	0.189	8.066	0.750	−0.651	10.455	0.750
−2.868	10.672	0.625	1.484	8.173	0.750	−2.406	10.497	0.750
−1.665	10.706	0.625	0.129	8.193	0.750	−0.788	10.504	0.750
−2.987	10.729	0.625	1.521	8.313	0.750	−0.925	10.552	0.750
−1.800	10.749	0.625	0.069	8.319	0.750	−2.531	10.560	0.750
−3.106	10.786	0.625	0.006	8.445	0.750	−1.062	10.599	0.750
−1.936	10.791	0.625	1.543	8.457	0.750	−2.657	10.622	0.750
−2.071	10.832	0.625	−0.060	8.568	0.750	−1.200	10.644	0.750
−3.225	10.842	0.625	1.549	8.601	0.750	−2.783	10.683	0.750
−2.207	10.873	0.625	−0.131	8.689	0.750	−1.338	10.688	0.750
−3.344	10.898	0.625	1.537	8.746	0.750	−1.476	10.732	0.750
−2.343	10.913	0.625	−0.207	8.807	0.750	−2.910	10.743	0.750
−3.464	10.953	0.625	1.506	8.887	0.750	−1.615	10.774	0.750
−2.479	10.953	0.625	−0.287	8.922	0.750	−3.037	10.803	0.750
−2.615	10.992	0.625	1.457	9.024	0.750	−1.754	10.816	0.750
−3.584	11.007	0.625	−0.373	9.033	0.750	−1.893	10.857	0.750
−2.752	11.031	0.625	−0.463	9.140	0.750	−3.164	10.861	0.750
−3.703	11.062	0.625	1.391	9.153	0.750	−2.032	10.898	0.750
−2.888	11.070	0.625	−0.558	9.243	0.750	−3.292	10.920	0.750
−3.024	11.108	0.625	1.312	9.274	0.750	−2.171	10.938	0.750
−3.824	11.116	0.625	−0.657	9.343	0.750	−2.311	10.977	0.750
−3.161	11.146	0.625	1.221	9.387	0.750	−3.420	10.978	0.750
−3.944	11.169	0.625	−0.760	9.438	0.750	−2.451	11.016	0.750
−3.298	11.184	0.625	1.121	9.492	0.750	−3.547	11.035	0.750
−3.434	11.221	0.625	−0.866	9.530	0.750	−2.591	11.054	0.750
−4.064	11.223	0.625	1.014	9.590	0.750	−3.676	11.092	0.750
−3.571	11.258	0.625	−0.974	9.619	0.750	−2.731	11.092	0.750
4.184	11.276	0.625	0.901	9.681	0.750	−2.871	11.130	0.750
−3.708	11.295	0.625	−1.085	9.704	0.750	−3.804	11.149	0.750
−4.305	11.330	0.625	0.783	9.766	0.750	−3.011	11.167	0.750
−3.845	11.332	0.625	−1.199	9.787	0.750	−3.151	11.204	0.750
−3.982	11.368	0.625	0.662	9.845	0.750	−3.932	11.205	0.750
−3.292	11.240	0.750	1.432	9.474	0.875	−2.367	11.072	0.875
4.061	11.261	0.750	−0.704	9.561	0.875	−2.511	11.110	0.875
−3.432	11.276	0.750	1.323	9.574	0.875	−3.587	11.124	0.875
−3.573	11.312	0.750	−0.822	9.653	0.875	−2.654	11.147	0.875
−4.189	11.317	0.750	1.208	9.668	0.875	−3.725	11.183	0.875
−3.713	11.347	0.750	−0.942	9.742	0.875	−2.798	11.184	0.875
−4.318	11.373	0.750	1.088	9.755	0.875	−2.942	11.221	0.875
−3.854	11.382	0.750	−1.065	9.828	0.875	−3.862	11.242	0.875
−3.995	11.417	0.750	0.964	9.838	0.875	−3.086	11.257	0.875
4.136	11.452	0.750	−1.189	9.911	0.875	−3.231	11.292	0.875
−4.403	11.465	0.750	0.837	9.915	0.875	−3.999	11.301	0.875
−4.403	11.465	0.750	0.708	9.988	0.875	−3.375	11.327	0.875
−4.277	11.486	0.750	−1.315	9.992	0.875	−4.137	11.359	0.875
1.223	7.368	0.875	0.576	10.057	0.875	−3.519	11.362	0.875
1.371	7.378	0.875	−1.442	10.070	0.875	−3.664	11.397	0.875
1.371	7.378	0.875	0.443	10.123	0.875	−4.275	11.417	0.875
1.077	7.401	0.875	−1.571	10.146	0.875	−3.808	11.431	0.875
1.503	7.444	0.875	0.309	10.186	0.875	−3.953	11.465	0.875
0.940	7.461	0.875	−1.701	10.220	0.875	4.098	11.498	0.875
0.825	7.555	0.875	0.173	10.247	0.875	−4.372	11.511	0.875
1.599	7.556	0.875	−1.831	10.293	0.875	4.372	11.511	0.875
0.737	7.675	0.875	0.037	10.305	0.875	−4.243	11.531	0.875
1.659	7.692	0.875	−0.101	10.360	0.875	1.723	7.278	1.000
0.659	7.803	0.875	−1.963	10.363	0.875	1.565	7.287	1.000
1.706	7.833	0.875	−0.240	10.414	0.875	1.876	7.316	1.000
0.586	7.933	0.875	−2.096	10.432	0.875	1.876	7.316	1.000
1.752	7.974	0.875	−0.379	10.466	0.875	1.412	7.325	1.000
0.513	8.064	0.875	−2.229	10.500	0.875	1.275	7.404	1.000
1.794	8.117	0.875	−0.519	10.516	0.875	1.993	7.412	1.000
0.439	8.194	0.875	−0.659	10.565	0.875	1.172	7.524	1.000
1.827	8.261	0.875	−2.363	10.566	0.875	2.063	7.546	1.000
0.364	8.323	0.875	−0.800	10.613	0.875	1.085	7.657	1.000
1.850	8.408	0.875	−2.498	10.632	0.875	2.090	7.696	1.000
0.285	8.450	0.875	−0.941	10.659	0.875	1.001	7.791	1.000
1.857	8.556	0.875	−2.633	10.696	0.875	2.103	7.848	1.000
0.204	8.576	0.875	−1.082	10.704	0.875	0.918	7.926	1.000
0.118	8.698	0.875	−1.224	10.748	0.875	2.124	7.999	1.000
1.848	8.704	0.875	−2.768	10.759	0.875	0.833	8.059	1.000
0.029	8.818	0.875	−1.366	10.791	0.875	2.148	8.150	1.000
1.819	8.850	0.875	−2.904	10.822	0.875	0.746	8.192	1.000
−0.064	8.935	0.875	−1.509	10.834	0.875	2.169	8.301	1.000
1.771	8.990	0.875	−1.651	10.875	0.875	0.657	8.323	1.000
−0.162	9.048	0.875	−3.040	10.883	0.875	0.565	8.452	1.000
1.706	9.124	0.875	−1.794	10.916	0.875	2.181	8.453	1.000
−0.263	9.158	0.875	−3.176	10.944	0.875	0.471	8.580	1.000
1.626	9.249	0.875	−1.937	10.956	0.875	2.181	8.606	1.000
−0.368	9.264	0.875	−2.080	10.995	0.875	0.374	8.705	1.000
1.534	9.365	0.875	−3.313	11.005	0.875	2.164	8.757	1.000
−0.477	9.367	0.875	−2.224	11.034	0.875	0.274	8.828	1.000
−0.589	9.466	0.875	−3.450	11.065	0.875	2.127	8.905	1.000
0.171	8.948	1.000	0.531	10.236	1.000	−1.782	11.009	1.000
2.071	9.047	1.000	−1.583	10.288	1.000	−3.157	11.036	1.000
0.064	9.065	1.000	0.391	10.296	1.000	−1.929	11.049	1.000
−0.047	9.179	1.000	0.250	10.355	1.000	−2.077	11.088	1.000
1.997	9.151	1.000	−1.723	10.363	1.000	−3.302	11.098	1.000
−0.160	9.289	1.000	0.108	10.411	1.000	−2.225	11.126	1.000
1.909	9.305	1.000	−1.863	10.436	1.000	−3.448	11.160	1.000
−0.277	9.396	1.000	−0.035	10.465	1.000	−2.373	11.163	1.000
1.810	9.420	1.000	−2.005	10.508	1.000	−2.521	11.200	1.000
−0.398	9.499	1.000	−0.178	10.517	1.000	−3.595	11.221	1.000
1.701	9.527	1.000	−0.322	10.568	1.000	−2.669	11.236	1.000
−0.521	9.599	1.000	−2.147	10.578	1.000	−2.817	11.272	1.000
1.585	9.627	1.000	−0.466	10.617	1.000	−3.741	11.282	1.000
−0.647	9.695	1.000	−2.290	10.646	1.000	−2.966	11.308	1.000
1.464	9.719	1.000	−0.611	10.665	1.000	−3.585	11.342	1.000
−0.775	9.788	1.000	−0.756	10.711	1.000	−3.114	11.343	1.000
1.338	9.806	1.000	−2.433	10.714	1.000	−3.263	11.377	1.000
−0.905	9.878	1.000	−0.902	10.757	1.000	−4.034	11.402	1.000
1.209	9.888	1.000	−2.577	10.750	1.000	−3.411	11.411	1.000
1.078	9.965	1.000	−1.048	10.801	1.000	−3.560	11.445	1.000
−1.038	9.965	1.000	−1.194	10.845	1.000	−4.181	11.462	1.000
0.944	10.038	1.000	−2.721	10.845	1.000	−3.709	11.478	1.000
−1.172	10.049	1.000	−1.341	10.887	1.000	−3.858	11.511	1.000
0.808	10.107	1.000	−2.866	10.910	1.000	−4.007	11.544	1.000
−1.308	10.131	1.000	−1.488	10.929	1.000	−4.290	11.556	1.000
0.670	10.173	1.000	−1.635	10.969	1.000	−4.290	11.556	1.000
−1.445	10.210	1.000	−3.011	10.973	1.000	−4.156	11.576	1.000

It will also be appreciated that the airfoil disclosed in the above table may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Table I may be scaled upwardly or downwardly such that the airfoil section shape remains unchanged. A scaled version of the coordinates in Table I is represented by X, Y and Z distances in inches, multiplied or divided by a constant number.

While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.

Claims

1. A turbine nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

2. A turbine nozzle according to claim 1 forming part of a second stage of a turbine.

3. A turbine nozzle according to claim 1 wherein the airfoil has a root radius of 22.345 inches and a height of 4.309 inches, said nozzle comprising part of a second stage of a turbine.

4. A turbine nozzle according to claim 1 wherein said airfoil shape lies in an envelope within ±0.100 inches in a direction normal to any airfoil surface location.

5. A turbine nozzle including an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.

6. A turbine nozzle according to claim 5 forming part of a second stage of a turbine.

7. A turbine nozzle according to claim 4 wherein the airfoil has a root radius of 22.345 inches and a height of 4.309 inches, said nozzle comprising part of a second stage of a turbine.

8. A turbine comprising a turbine stage having a plurality of nozzles, each of said nozzles including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

9. A turbine according to claim 8 wherein the turbine nozzle comprises part of a second stage of the turbine.

10. A turbine according to claim 8 wherein the turbine stage has 32 nozzles and coordinate value Y extends parallel to an axis of rotation of the turbine.

11. A turbine according to claim 8 wherein each of the airfoils has a root radius of 22.345 inches and a height of 4.309 inches, said turbine nozzle comprising a part of a second stage of the turbine.

12. A turbine according to claim 8 wherein said airfoil shape lies in an envelope within ±0.100 inches in a direction normal to any airfoil surface location.