Third-stage turbine bucket airfoil

Abstract

The third-stage buckets have airfoil profiles substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at the radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z. The X, Y and Z values may be scaled as a function of the same constant or number to provide a scaled-up or scaled-down airfoil section for the bucket.

Description

BACKGROUND OF THE INVENTION

The present invention relates to a turbine bucket for a gas turbine stage and particularly relates to a third-stage turbine bucket airfoil profile.

In recent years, advanced gas turbines have trended toward increasing firing temperatures and efforts to improve cooling of the various turbine components. In a particular gas turbine design of the assignee, a high output turbine that uses a combination of steam and air cooling to meet a 60% combined cycle efficiency is undergoing development. It will be appreciated that the design and construction of the turbine buckets and particularly the buckets of the third turbine stage of that turbine require optimized aerodynamic efficiency, as well as aerodynamic and mechanical bucket loading.

BRIEF SUMMARY OF THE INVENTION

In accordance with an embodiment of the present invention, there is provided a unique turbine bucket airfoil profile for a turbine stage, preferably the third stage, which may be defined by a unique loci of points to achieve the necessary efficiency in loading requirements whereby improved turbine performance is obtained. It will be appreciated that the nominal profile given by the X, Y, Z coordinates of Table I, which follows, define this unique loci of points. The coordinates given in inches in Table I are for a cold, i.e., room-temperature profile for each cross-section of the bucket. Each defined cross-section is joined smoothly with adjacent cross-sections to form the complete airfoil shape. It will also be appreciated that as the bucket heats up in use, the profile will change as a result of stress and temperature. Thus, the cold or room-temperature profile is given by the X, Y, Z coordinates for manufacturing purposes. Because a manufactured bucket airfoil profile may be different than the nominal airfoil profile given in the following table, a distance of ±0.160 inches from the nominal profile in a direction normal to any surface location along the nominal profile and which includes any coating process, defines the profile envelope for this design. The design is robust to this variation with impairment of the mechanical and aerodynamic functions.

It will also be appreciated that the airfoil can be scaled-up or scaled-down geometrically for introduction into other similar turbine designs. Consequently, the X, Y and Z coordinates of the nominal airfoil profile given below are a function of the same constant or number. That is, the X, Y and Z coordinate values given in the Table may be multiplied or divided by the same constant or number to provide a scaled-up or scaled-down version of the bucket airfoil profile, while retaining the airfoil section shape.

In a preferred embodiment according to the present invention, there is provided a turbine bucket having a bucket airfoil shape in an envelope within ±0.160 inches in a direction normal to any airfoil surface location wherein the airfoil has an uncoated nominal profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil shape.

In a further preferred embodiment according to the present invention, there is provided a turbine bucket having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil bucket profile, the X, Y and Z values being scaled as a function of the same constant or number to provide a scaled-up or scaled-down bucket airfoil.

In a further preferred embodiment according to the present invention, there is provided a turbine comprising a turbine wheel having a plurality of buckets, each of the buckets having an airfoil shape in an envelope within ±0.160 inches in a direction normal to any bucket airfoil surface location wherein the airfoil has an uncoated nominal profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil shape.

In a further preferred embodiment according to the present invention, there is provided a turbine comprising a turbine wheel having a plurality of buckets, each of the buckets having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil shape, the X and Y values being scaled as a function of the same constant or number to provide a scaled-up or scaled-down bucket airfoil.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a side elevational view of a turbine bucket including an airfoil, shank and dovetail constructed in accordance with a preferred embodiment of the present invention;

FIG. 2 is a top, leading edge and pressure side perspective view thereof;

FIG. 3 is a perspective view of the bucket as viewed along its leading edge;

FIG. 4 is a perspective view of the bucket as viewed along its trailing edge;

FIG. 5 is a top, leading edge and suction side view of the bucket hereof;

FIG. 6 is an enlarged end view of the bucket as viewed radially inwardly; and

FIG. 7 is a schematic illustration of a turbine having a third-stage turbine wheel employing the buckets hereof.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to the drawing figures, particularly to FIGS. 1 and 2 , there is illustrated a turbine blade constructed in accordance with the present invention and including an airfoil 10 mounted on a platform 12 carried by a shank 14 . The radially inner end of the shank 14 carries a dovetail 16 for coupling the blade to a turbine wheel, not shown. The airfoil 10 , platform 12 and dovetail 16 are collectively referred to as a bucket, generally designated 17 . The airfoil 10 has a compound curvature with suction and pressure sides 18 and 20 , respectively. As conventional, it will be appreciated that the dovetail 16 mates in dovetail openings in a turbine wheel. A plurality of the present third-stage buckets, preferably ninety-two buckets, are circumferentially spaced one from the other about the wheel and turbine rotor axis. Additionally, there are wheelspace seals 22 , i.e., angel wings, formed on the axially forward and aft sides of shank 14 . Preferably, the bucket is integrally cast with cooling, preferably air-cooling, passages, not shown, internal to the bucket including airfoil 10 .

Referring now to the drawing figures, there is shown a Cartesian coordinate system for X, Y and Z values. These coordinate values are set forth in inches in Table I which follows. The Cartesian coordinate system has orthogonally-related X, Y and Z axes with the Z axis extending perpendicular to a plane normal to a radius from the centerline of the turbine rotor, i.e., normal to a plane containing the X and Y values. The Z distance commences at zero in the X, Y plane at the radially innermost aerodynamic section. The Y axis lies parallel to the turbine rotor centerline, i.e., the rotary axis. By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile of airfoil 10 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 at the various surface locations between the distances Z are connected smoothly to one another to form the airfoil. The tabular values given in Table I below are in inches and represent airfoil profiles at ambient, non-operating or non-hot conditions and are for an uncoated airfoil. The sign convention assigns a positive value to the value Z and positive and negative values for the X and Y coordinates, as typically used in a Cartesian coordinate system.

The Table I values are generated and shown to three decimal places for determining the profiles of the airfoil. Further, 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. It will therefore be appreciated that ± typical manufacturing tolerances, i.e., plus or minus values and coating thicknesses, are additive to the X and Y values given in Table I below. Accordingly, a distance of ±0.160 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular bucket design and turbine.

The coordinate values given in Table I below provide the preferred nominal profile envelope.

TABLE I
X	Y	Z
0.215	−1.756	0.000
−0.188	−1.723	0.000
−0.533	−1.498	0.000
−0.804	−1.187	0.000
−0.110	−1.751	0.000
−0.471	−1.553	0.000
−0.758	−1.255	0.000
−0.029	−1.771	0.000
−0.405	−1.603	0.000
−0.706	−1.320	0.000
−0.926	−0.970	0.000
0.342	−1.655	0.000
0.288	−1.718	0.000
0.053	−1.781	0.000
−0.335	−1.648	0.000
−0.651	−1.382	0.000
−0.886	−1.043	0.000
0.136	−1.779	0.000
−0.263	−1.688	0.000
−0.593	−1.441	0.000
−0.846	−1.115	0.000
−0.993	−0.819	0.000
0.392	−1.414	0.000
−1.062	−0.412	0.000
−0.963	−0.896	0.000
0.393	−1.331	0.000
−1.060	−0.495	0.000
0.391	−1.248	0.000
−1.053	−0.578	0.000
0.386	−1.166	0.000
−1.038	−0.659	0.000
0.371	−1.578	0.000
−1.018	−0.740	0.000
0.386	−1.497	0.000
0.368	−0.174	0.000
0.346	−0.587	0.000
0.372	−1.001	0.000
−1.002	−0.005	0.000
0.382	−0.092	0.000
0.346	−0.504	0.000
0.364	−0.918	0.000
−1.026	−0.084	0.000
−0.811	0.361	0.000
0.348	−0.422	0.000
0.357	−0.836	0.000
−1.043	−0.165	0.000
0.352	−0.339	0.000
0.352	−0.753	0.000
−0.858	0.293	0.000
−1.054	−0.247	0.000
−0.938	0.149	0.000
−0.759	0.426	0.000
0.359	−0.256	0.000
0.348	−0.670	0.000
−0.704	0.488	0.000
0.380	−1.083	0.000
−1.059	−0.330	0.000
−0.972	0.073	0.000
−0.901	0.222	0.000
0.380	1.236	0.000
0.469	0.227	0.000
−0.271	0.872	0.000
0.158	1.123	0.000
0.085	1.084	0.000
0.696	0.669	0.000
−0.402	0.771	0.000
0.499	0.304	0.000
−0.588	0.606	0.000
−0.337	0.823	0.000
0.012	1.044	0.000
0.742	0.737	0.000
−0.060	1.004	0.000
0.533	0.380	0.000
−0.202	0.919	0.000
0.398	−0.011	0.000
−0.647	0.548	0.000
0.792	0.803	0.000
0.232	1.161	0.000
0.570	0.454	0.000
0.418	0.069	0.000
−0.132	0.963	0.000
0.843	0.869	0.000
0.609	0.527	0.000
−0.465	0.718	0.000
0.442	0.149	0.000
−0.527	0.662	0.000
0.306	1.199	0.000
0.895	0.933	0.000
0.651	0.598	0.000
0.529	1.307	0.000
1.443	1.699	0.000
1.557	1.557	0.000
1.237	1.293	0.000
1.214	1.603	0.000
0.948	0.996	0.000
1.290	1.635	0.000
1.137	1.571	0.000
0.908	1.475	0.000
1.621	1.609	0.000
1.299	1.349	0.000
1.003	1.058	0.000
0.680	1.376	0.000
1.366	1.667	0.000
0.756	1.409	0.000
1.683	1.664	0.000
1.362	1.402	0.000
1.678	1.776	0.000
1.060	1.119	0.000
1.597	1.760	0.000
1.519	1.731	0.000
0.984	1.507	0.000
0.605	1.342	0.000
1.426	1.454	0.000
1.117	1.179	0.000
1.061	1.539	0.000
0.832	1.442	0.000
1.733	1.727	0.000
1.491	1.506	0.000
1.176	1.237	0.000
0.454	1.272	0.000
−0.172	−1.723	0.500
−0.529	−1.519	0.500
−0.810	−1.217	0.500
−0.092	−1.744	0.500
−0.464	−1.570	0.500
−0.760	−1.283	0.500
−0.969	−0.927	0.500
0.010	−1.755	0.500
−0.395	−1.617	0.500
−0.706	−1.346	0.500
−0.932	−1.001	0.500
0.073	−1.753	0.500
−0.324	−1.658	0.500
0.278	−1.630	0.500
−0.649	−1.406	0.500
−0.894	−1.075	0.500
0.225	−1.693	0.500
0.152	−1.731	0.500
−0.249	−1.694	0.500
−0.590	−1.464	0.500
−0.854	−1.147	0.500
0.325	−1.473	0.500
−1.002	−0.851	0.500
−1.074	−0.447	0.500
0.331	−1.390	0.500
−1.072	−0.529	0.500
0.333	−1.308	0.500
−1.063	−0.612	0.500
0.332	−1.225	0.500
−1.048	−0.693	0.500
0.328	−1.142	0.500
0.309	−1.554	0.500
−1.028	−0.773	0.500
−1.070	−0.364	0.500
−0.979	0.037	0.500
−0.764	0.389	0.500
0.331	−0.235	0.500
0.302	−0.647	0.500
0.323	−1.060	0.500
−1.009	−0.040	0.500
−0.816	0.324	0.500
0.346	−0.154	0.500
0.303	−0.564	0.500
0.317	−0.977	0.500
−1.033	−0.119	0.500
−0.863	0.256	0.500
0.363	−0.073	0.500
0.306	−0.482	0.500
0.312	−0.895	0.500
−1.050	−0.200	0.500
−0.906	0.185	0.500
−0.652	0.510	0.500
0.312	−0.399	0.500
0.307	−0.812	0.500
−1.062	−0.282	0.500
−0.944	0.112	0.500
−0.709	0.450	0.500
0.320	−0.317	0.500
0.304	−0.730	0.500
0.866	0.866	0.500
0.621	0.533	0.500
−0.469	0.677	0.500
0.436	0.164	0.500
−0.135	0.921	0.500
0.228	1.119	0.500
0.920	0.929	0.500
0.666	0.603	0.500
−0.531	0.623	0.500
0.467	0.241	0.500
−0.205	0.877	0.500
0.154	1.080	0.500
0.713	0.671	0.500
−0.592	0.567	0.500
0.501	0.316	0.500
−0.273	0.830	0.500
0.081	1.042	0.500
0.762	0.738	0.500
0.539	0.390	0.500
−0.340	0.781	0.500
0.384	0.007	0.500
0.009	1.002	0.500
0.375	1.193	0.500
0.813	0.802	0.500
0.579	0.462	0.500
−0.405	0.730	0.500
0.409	0.086	0.500
−0.064	0.962	0.500
0.301	1.156	0.500
0.599	1.300	0.500
0.978	1.465	0.500
1.359	1.625	0.500
1.747	1.762	0.500
1.527	1.487	0.500
1.208	1.225	0.500
0.524	1.265	0.500
0.902	1.433	0.500
1.283	1.594	0.500
1.666	1.749	0.500
1.593	1.538	0.500
1.270	1.280	0.500
0.975	0.991	0.500
0.450	1.229	0.500
0.826	1.400	0.500
1.207	1.562	0.500
1.588	1.721	0.500
1.658	1.589	0.500
1.333	1.334	0.500
1.031	1.051	0.500
0.750	1.367	0.500
1.131	1.530	0.500
1.512	1.689	0.500
1.721	1.642	0.500
1.397	1.386	0.500
1.089	1.110	0.500
0.675	1.334	0.500
1.054	1.497	0.500
1.436	1.657	0.500
1.781	1.699	0.500
1.462	1.437	0.500
1.143	1.168	0.500
−0.943	−1.035	1.000
−0.706	−1.371	1.000
0.215	−1.605	1.000
−0.385	−1.628	1.000
0.009	−1.728	1.000
−0.978	−0.961	1.000
−0.762	−1.310	1.000
−0.456	−1.585	1.000
−0.073	−1.729	1.000
−1.010	−0.885	1.000
−0.814	−1.246	1.000
−0.524	−1.538	1.000
−0.155	−1.717	1.000
−0.862	−1.179	1.000
−0.588	−1.487	1.000
−0.234	−1.695	1.000
−0.905	−1.109	1.000
−0.649	−1.430	1.000
−0.311	−1.665	1.000
0.089	−1.707	1.000
0.161	−1.667	1.000
−1.075	−0.646	1.000
0.272	−1.202	1.000
−1.085	−0.564	1.000
0.273	−1.284	1.000
−1.088	−0.482	1.000
0.271	−1.367	1.000
−1.085	−0.400	1.000
−1.038	−0.807	1.000
0.264	−1.449	1.000
−1.060	−0.727	1.000
0.248	−1.530	1.000
0.268	−1.119	1.000
−0.659	0.470	1.000
−0.912	0.147	1.000
−1.061	−0.236	1.000
0.255	−0.790	1.000
0.274	−0.378	1.000
−0.599	0.527	1.000
−0.869	0.217	1.000
−1.042	−0.156	1.000
0.256	−0.872	1.000
0.264	−0.460	1.000
0.345	−0.056	1.000
−0.822	0.285	1.000
−1.018	−0.077	1.000
0.259	−0.955	1.000
0.258	−0.542	1.000
0.322	−0.135	1.000
−0.771	0.349	1.000
−0.988	0.000	1.000
0.263	−1.037	1.000
0.255	−0.624	1.000
0.303	−0.215	1.000
−0.716	0.411	1.000
−0.952	0.074	1.000
−1.075	−0.318	1.000
0.254	−0.707	1.000
0.287	−0.296	1.000
0.400	0.100	1.000
−0.344	0.738	1.000
0.588	0.467	1.000
0.834	0.798	1.000
0.443	1.187	1.000
0.076	0.999	1.000
0.371	0.023	1.000
−0.278	0.786	1.000
0.545	0.396	1.000
0.781	0.734	1.000
0.148	1.038	1.000
−0.209	0.833	1.000
0.504	0.324	1.000
−0.537	0.582	1.000
0.730	0.669	1.000
0.222	1.076	1.000
−0.140	0.877	1.000
0.467	0.251	1.000
−0.474	0.636	1.000
0.681	0.603	1.000
0.944	0.921	1.000
0.295	1.114	1.000
−0.069	0.920	1.000
0.432	0.176	1.000
−0.410	0.687	1.000
0.634	0.536	1.000
0.889	0.860	1.000
0.369	1.151	1.000
0.003	0.960	1.000
1.117	1.098	1.000
1.430	1.367	1.000
1.758	1.616	1.000
1.579	1.679	1.000
1.198	1.519	1.000
0.819	1.358	1.000
1.058	1.040	1.000
1.365	1.316	1.000
1.694	1.565	1.000
1.655	1.711	1.000
1.275	1.551	1.000
0.894	1.391	1.000
0.518	1.222	1.000
1.001	0.981	1.000
1.301	1.263	1.000
1.628	1.516	1.000
1.733	1.739	1.000
1.351	1.583	1.000
0.970	1.423	1.000
0.593	1.257	1.000
1.239	1.209	1.000
1.562	1.466	1.000
1.813	1.742	1.000
1.427	1.615	1.000
1.046	1.455	1.000
0.668	1.291	1.000
1.178	1.154	1.000
1.495	1.417	1.000
1.821	1.670	1.000
1.503	1.647	1.000
1.122	1.487	1.000
0.743	1.325	1.000
−0.943	−1.035	1.000
−0.706	−1.371	1.000
0.215	−1.605	1.000
−0.385	−1.628	1.000
0.009	−1.728	1.000
−0.978	−0.961	1.000
−0.762	−1.310	1.000
−0.456	−1.585	1.000
−0.073	−1.729	1.000
−1.010	−0.885	1.000
−0.814	−1.246	1.000
−0.524	−1.538	1.000
−0.155	−1.717	1.000
−0.862	−1.179	1.000
−0.588	−1.487	1.000
−0.234	−1.695	1.000
−0.905	−1.109	1.000
−0.649	−1.430	1.000
−0.311	−1.665	1.000
0.089	−1.707	1.000
0.161	−1.667	1.000
−1.075	−0.646	1.000
0.272	−1.202	1.000
−1.085	−0.564	1.000
0.273	−1.284	1.000
−1.088	−0.482	1.000
0.271	−1.367	1.000
−1.085	−0.400	1.000
−1.038	−0.807	1.000
0.264	−1.449	1.000
−1.060	−0.727	1.000
0.248	−1.530	1.000
0.268	−1.119	1.000
−0.659	0.470	1.000
−0.912	0.147	1.000
−1.061	−0.236	1.000
0.255	−0.790	1.000
0.274	−0.378	1.000
−0.599	0.527	1.000
−0.869	0.217	1.000
−1.042	−0.156	1.000
0.256	−0.872	1.000
0.264	−0.460	1.000
0.345	−0.056	1.000
−0.822	0.285	1.000
−1.018	−0.077	1.000
0.259	−0.955	1.000
0.258	−0.542	1.000
0.322	−0.135	1.000
−0.771	0.349	1.000
−0.988	0.000	1.000
0.263	−1.037	1.000
0.255	−0.624	1.000
0.303	−0.215	1.000
−0.716	0.411	1.000
−0.952	0.074	1.000
−1.075	−0.318	1.000
0.254	−0.707	1.000
0.287	−0.296	1.000
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−0.301	0.276	13.000
−0.660	0.126	13.000
−1.005	−0.052	13.000
−0.314	−0.296	13.000
0.025	−0.105	13.000
0.371	0.071	13.000
−0.229	0.304	13.000
−0.589	0.158	13.000
−0.937	−0.013	13.000
−0.380	−0.336	13.000
−0.044	−0.142	13.000
0.302	0.036	13.000
−0.156	0.332	13.000
−0.517	0.189	13.000
−0.869	0.024	13.000
−0.446	−0.377	13.000
−0.112	−0.179	13.000
0.232	0.002	13.000
0.581	0.172	13.000
−0.083	0.359	13.000
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−0.800	0.060	13.000
−1.136	−0.135	13.000
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−0.180	−0.217	13.000
0.163	−0.033	13.000
0.511	0.138	13.000
−0.010	0.385	13.000
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−1.071	−0.093	13.000
1.174	0.764	13.000
0.801	0.654	13.000
0.431	0.536	13.000
0.792	0.271	13.000
1.146	0.432	13.000
1.499	0.593	13.000
1.248	0.785	13.000
0.875	0.676	13.000
0.505	0.560	13.000
0.136	0.437	13.000
0.722	0.238	13.000
1.075	0.400	13.000
1.428	0.561	13.000
1.323	0.807	13.000
0.950	0.699	13.000
0.579	0.584	13.000
0.210	0.462	13.000
0.651	0.205	13.000
1.004	0.368	13.000
1.358	0.529	13.000
1.024	0.721	13.000
0.653	0.608	13.000
0.283	0.487	13.000
0.933	0.336	13.000
1.287	0.497	13.000
1.641	0.658	13.000
1.099	0.743	13.000
0.727	0.631	13.000
0.357	0.512	13.000
0.863	0.303	13.000
1.216	0.465	13.000
1.570	0.625	13.000
1.853	0.754	13.000
2.203	0.923	13.000
1.998	0.991	13.000
1.623	0.889	13.000
1.782	0.722	13.000
2.133	0.888	13.000
2.073	1.011	13.000
1.698	0.910	13.000
1.711	0.690	13.000
2.063	0.854	13.000
2.148	1.031	13.000
1.772	0.930	13.000
1.398	0.827	13.000
1.993	0.820	13.000
2.223	1.039	13.000
1.848	0.950	13.000
1.473	0.848	13.000
1.923	0.787	13.000
2.256	0.976	13.000
1.923	0.971	13.000
1.548	0.869	13.000
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0.143	−0.057	13.500
0.495	0.110	13.500
0.037	0.376	13.500
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0.073	−0.092	13.500
0.424	0.077	13.500
0.110	0.402	13.500
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0.283	0.010	13.500
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0.213	−0.023	13.500
0.565	0.143	13.500
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1.151	0.729	13.500
0.777	0.619	13.500
0.406	0.501	13.500
0.848	0.274	13.500
1.204	0.434	13.500
1.559	0.593	13.500
1.226	0.750	13.500
0.852	0.641	13.500
0.480	0.525	13.500
0.778	0.241	13.500
1.133	0.402	13.500
1.488	0.561	13.500
1.301	0.771	13.500
0.927	0.664	13.500
0.554	0.549	13.500
0.184	0.427	13.500
0.707	0.209	13.500
1.062	0.370	13.500
1.417	0.529	13.500
1.376	0.792	13.500
1.001	0.686	13.500
0.628	0.573	13.500
0.258	0.452	13.500
0.636	0.176	13.500
0.990	0.338	13.500
1.346	0.498	13.500
1.076	0.707	13.500
0.703	0.596	13.500
0.332	0.477	13.500
1.275	0.466	13.500
1.630	0.625	13.500
0.919	0.306	13.500
1.902	0.936	13.500
1.526	0.834	13.500
1.914	0.755	13.500
2.264	0.924	13.500
1.978	0.956	13.500
1.601	0.854	13.500
1.843	0.722	13.500
2.197	0.886	13.500
2.053	0.976	13.500
1.677	0.875	13.500
1.772	0.690	13.500
2.126	0.852	13.500
2.128	0.996	13.500
1.752	0.895	13.500
1.701	0.658	13.500
2.056	0.820	13.500
2.204	1.016	13.500
1.827	0.916	13.500
1.451	0.813	13.500
1.985	0.787	13.500
2.273	0.995	13.500
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0.556	0.120	14.000
0.200	−0.043	14.000
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0.627	0.152	14.000
0.271	−0.011	14.000
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0.342	0.022	14.000
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0.167	0.393	14.000
0.414	0.055	14.000
0.058	−0.109	14.000
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0.485	0.087	14.000
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1.629	0.596	14.000
1.271	0.438	14.000
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0.390	0.467	14.000
0.764	0.585	14.000
1.139	0.696	14.000
1.701	0.628	14.000
1.343	0.470	14.000
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0.316	0.442	14.000
0.689	0.562	14.000
1.064	0.674	14.000
1.441	0.781	14.000
1.415	0.501	14.000
1.056	0.344	14.000
0.699	0.185	14.000
0.242	0.418	14.000
0.614	0.539	14.000
0.989	0.652	14.000
1.365	0.760	14.000
1.486	0.533	14.000
1.128	0.375	14.000
0.770	0.217	14.000
0.539	0.515	14.000
0.914	0.630	14.000
1.290	0.739	14.000
1.558	0.565	14.000
1.200	0.407	14.000
0.841	0.249	14.000
0.465	0.491	14.000
0.838	0.608	14.000
1.214	0.717	14.000
1.592	0.822	14.000
1.970	0.924	14.000
2.319	0.943	14.000
1.987	0.757	14.000
1.516	0.801	14.000
1.894	0.904	14.000
2.273	0.998	14.000
2.058	0.788	14.000
1.818	0.883	14.000
2.197	0.983	14.000
2.130	0.820	14.000
1.772	0.660	14.000
1.743	0.863	14.000
2.121	0.964	14.000
2.201	0.852	14.000
1.844	0.692	14.000
1.667	0.843	14.000
2.045	0.944	14.000
2.272	0.886	14.000
1.915	0.725	14.000
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0.052	−0.119	14.392
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−0.665	0.059	14.392
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−0.161	−0.221	14.392
0.627	0.139	14.392
0.124	−0.086	14.392
0.483	0.075	14.392
0.411	0.043	14.392
−0.151	0.259	14.392
0.072	0.337	14.392
0.555	0.107	14.392
0.146	0.362	14.392
0.339	0.010	14.392
0.221	0.387	14.392
−0.003	0.311	14.392
0.371	0.436	14.392
−0.077	0.285	14.392
−0.225	0.232	14.392
0.268	−0.022	14.392
0.196	−0.054	14.392
0.296	0.412	14.392
0.915	0.266	14.392
0.843	0.234	14.392
1.204	0.390	14.392
0.896	0.601	14.392
0.771	0.202	14.392
1.132	0.359	14.392
0.670	0.532	14.392
0.972	0.623	14.392
0.746	0.555	14.392
0.445	0.461	14.392
0.699	0.171	14.392
1.060	0.328	14.392
0.821	0.578	14.392
0.987	0.297	14.392
0.595	0.509	14.392
0.520	0.485	14.392
1.783	0.639	14.392
1.277	0.421	14.392
1.638	0.577	14.392
1.123	0.667	14.392
1.274	0.711	14.392
1.566	0.545	14.392
1.654	0.815	14.392
1.199	0.689	14.392
1.350	0.732	14.392
1.494	0.514	14.392
1.426	0.753	14.392
1.421	0.483	14.392
1.502	0.774	14.392
1.047	0.646	14.392
1.349	0.452	14.392
1.710	0.608	14.392
1.578	0.795	14.392
2.351	0.904	14.392
2.034	0.917	14.392
2.287	0.861	14.392
2.110	0.937	14.392
1.730	0.836	14.392
1.855	0.671	14.392
2.215	0.828	14.392
2.186	0.957	14.392
1.927	0.703	14.392
1.806	0.856	14.392
1.999	0.734	14.392
2.143	0.797	14.392
2.262	0.977	14.392
1.882	0.877	14.392
2.071	0.766	14.392
2.338	0.974	14.392
1.958	0.897	14.392

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 would be represented by X, Y and Z coordinate values multiplied or divided by the same constant or number.

Referring now to FIG. 7 , there is illustrated a turbine in which the turbine bucket having the airfoil defined herein may be utilized. In the illustrated turbine, the turbine rotor, designated 40 , has first, second, third and fourth-stage rotor wheels 42 , 44 , 46 and 48 mounting buckets which, in conjunction with respective stator vanes 41 , 43 , 45 and 47 , form the various stages of the rotor. Particularly, the third stage comprises a third-stage rotor wheel 46 on which the airfoils 10 hereof are mounted in opposition to third-stage stator vanes 45 . It will be appreciated that a plurality of the airfoils 10 are spaced circumferentially one from the other about the third-stage wheel 46 and, in this instance, there are ninety-two buckets mounted on the third-stage wheel 46 .

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 bucket having a bucket airfoil shape in an envelope within ±0.160 inches in a direction normal to any airfoil surface location wherein the airfoil has an uncoated nominal profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil shape.

2. A turbine bucket according to claim 1 forming part of a third stage of a turbine.

3. A turbine bucket having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil bucket profile;the X, Y and Z values being scaled as a function of the same constant or number to provide a scaled-up or scaled-down bucket airfoil.

4. A turbine bucket according to claim 3 forming part of a third stage of a turbine.

5. A turbine comprising a turbine wheel having a plurality of buckets, each of said buckets having an airfoil shape in an envelope within ±0.160 inches in a direction normal to any bucket airfoil surface location wherein the airfoil has an uncoated nominal profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil shape.

6. A turbine according to claim 5 wherein the turbine wheel comprises a third-stage turbine.

7. A turbine according to claim 5 wherein the turbine wheel has ninety-two buckets and Y represents a distance parallel to a long axis of the turbine wheel.

8. A turbine comprising a turbine wheel having a plurality of buckets, each of said buckets having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinates values of X, Y and Z set forth in inches in Table I wherein Z is a perpendicular distance from a plane normal to a radius of the turbine centerline and containing the X and Y values with the Z value commencing at zero in the X, Y plane at a radially innermost aerodynamic section of the airfoil and X and Y are coordinates defining the airfoil profile at each distance Z, the profiles at the Z distances being joined smoothly with one another to form the complete airfoil shape;the X and Y values being scaled as a function of the same constant or number to provide a scaled-up or scaled-down bucket airfoil.

9. A turbine according to claim 8 wherein the turbine wheel comprises a third stage of the turbine.

10. A turbine according to claim 8 wherein the turbine wheel has ninety-two buckets and Y represents a distance parallel to a long axis of the turbine wheel.