Fourth-stage turbine bucket airfoil

Abstract

The fourth-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 coordinate values 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

This invention was made with Government support under Contract No. DE-FC21-95MC31176 awarded by the Department of Energy. The Government has certain rights in this invention.

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 i s undergoing development. It will be appreciated that the design and construction of the turbine buckets and particularly the buckets of the fourth 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 fourth 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 without 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 an 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 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 view similar to FIG. 1 illustrating the opposite side of the bucket;

FIG. 3 is a perspective view thereof as seen from the leading edge of the bucket;

FIG. 4 is an axial view of the bucket as viewed from its leading edge;

FIG. 5 is an enlarged end view of the bucket as viewed radially inwardly; and

FIG. 6 is a schematic illustration of a turbine having a fourth-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 and that a plurality of buckets, preferably eighty-eight 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 defined by X, Y and Z axes. The values for the X, Y and Z coordinates 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 inches in Table I below provide the preferred nominal profile envelope.

TABLE I
X	Y	Z
−0.127	53.197	0.000
0.390	52.472	0.000
0.076	52.872	0.000
0.500	52.798	0.000
0.301	52.563	0.000
0.531	52.674	0.000
0.389	53.164	0.000
−0.061	53.087	0.000
0.006	52.979	0.000
0.427	53.042	0.000
0.222	52.663	0.000
0.465	52.920	0.000
0.147	52.766	0.000
0.549	52.547	0.000
0.505	52.434	0.000
−0.426	53.760	0.000
0.351	53.285	0.000
−0.190	53.307	0.000
0.207	53.775	0.000
0.276	53.530	0.000
−0.531	53.992	0.000
−0.312	53.531	0.000
0.174	53.898	0.000
−0.370	53.645	0.000
−0.480	53.875	0.000
−0.252	53.419	0.000
0.144	54.022	0.000
0.313	53.407	0.000
0.241	53.652	0.000
0.115	54.147	0.000
0.026	54.649	0.000
−0.669	54.350	0.000
0.089	54.272	0.000
−0.626	54.229	0.000
−0.803	54.841	0.000
0.011	54.776	0.000
−0.744	54.593	0.000
0.045	54.523	0.000
−0.580	54.110	0.000
0.066	54.397	0.000
−0.708	54.471	0.000
−0.776	54.717	0.000
−0.002	54.903	0.000
−0.827	54.967	0.000
−0.011	55.540	0.000
−0.858	55.220	0.000
−0.017	55.413	0.000
−0.010	55.030	0.000
−0.845	55.093	0.000
−0.866	55.347	0.000
−0.868	55.475	0.000
−0.018	55.285	0.000
−0.002	55.667	0.000
−0.854	55.730	0.000
−0.016	55.158	0.000
−0.864	55.603	0.000
0.101	56.296	0.000
0.048	56.047	0.000
−0.667	56.469	0.000
−0.816	55.982	0.000
0.170	56.542	0.000
−0.787	56.106	0.000
0.134	56.420	0.000
0.011	55.794	0.000
−0.838	55.856	0.000
−0.753	56.229	0.000
0.028	55.921	0.000
−0.713	56.350	0.000
0.073	56.172	0.000
−0.294	57.136	0.000
−0.560	56.701	0.000
0.516	57.364	0.000
0.348	57.020	0.000
−0.218	57.239	0.000
0.299	56.902	0.000
0.401	57.136	0.000
−0.616	56.586	0.000
0.457	57.251	0.000
−0.499	56.813	0.000
−0.366	57.031	0.000
0.209	56.664	0.000
−0.435	56.923	0.000
0.252	56.784	0.000
−0.140	57.339	0.000
0.285	57.815	0.000
0.375	57.905	0.000
0.652	58.170	0.000
0.110	57.630	0.000
0.642	57.586	0.000
−0.059	57.438	0.000
1.076	58.216	0.000
0.709	57.695	0.000
0.467	57.994	0.000
0.197	57.723	0.000
0.578	57.476	0.000
0.025	57.535	0.000
0.999	58.115	0.000
0.778	57.802	0.000
0.559	58.083	0.000
0.923	58.012	0.000
0.849	57.908	0.000
1.319	58.764	0.000
1.717	59.075	0.000
1.756	58.977	0.000
1.667	58.885	0.000
1.156	58.316	0.000
0.745	58.257	0.000
1.513	58.929	0.000
1.030	58.513	0.000
1.404	58.606	0.000
1.416	58.847	0.000
1.126	58.597	0.000
1.610	59.012	0.000
1.222	58.681	0.000
1.320	58.511	0.000
0.935	58.428	0.000
0.840	58.343	0.000
1.491	58.701	0.000
1.578	53.794	0.000
1.237	58.414	0.000
0.119	52.782	0.500
0.498	52.685	0.500
0.357	52.486	0.500
0.269	52.577	0.500
0.468	52.808	0.500
0.049	52.888	0.500
−0.148	53.214	0.500
0.395	53.052	0.500
0.433	52.930	0.500
0.471	52.448	0.500
0.515	52.560	0.500
−0.018	52.995	0.500
0.191	52.678	0.500
0.358	53.173	0.500
−0.084	53.104	0.500
0.179	53.781	0.500
0.283	53.415	0.500
0.247	53.537	0.500
−0.328	53.549	0.500
−0.540	54.010	0.500
0.117	54.028	0.500
−0.384	53.663	0.500
−0.491	53.893	0.500
−0.270	53.436	0.500
0.212	53.659	0.500
−0.439	53.777	0.500
−0.210	53.324	0.500
0.320	53.294	0.500
0.147	53.904	0.500
−0.745	54.610	0.500
−0.022	54.904	0.500
−0.631	54.247	0.500
0.004	54.652	0.500
−0.711	54.488	0.500
0.021	54.526	0.500
0.090	54.152	0.500
−0.673	54.367	0.500
−0.011	54.778	0.500
−0.801	54.858	0.500
−0.775	54.733	0.500
0.064	54.276	0.500
0.042	54.401	0.500
−0.587	54.128	0.500
−0.822	54.983	0.500
−0.839	55.108	0.500
−0.033	55.411	0.500
−0.850	55.235	0.500
−0.035	55.158	0.500
−0.855	55.489	0.500
−0.036	55.285	0.500
−0.026	55.538	0.500
−0.030	55.031	0.500
−0.849	55.615	0.500
−0.855	55.362	0.500
−0.016	55.665	0.500
0.132	56.411	0.500
−0.793	55.991	0.500
−0.725	56.236	0.500
0.170	56.532	0.500
−0.682	56.355	0.500
0.018	55.916	0.500
0.098	56.288	0.500
0.040	56.041	0.500
−0.633	56.473	0.500
−0.001	55.791	0.500
0.067	56.165	0.500
−0.836	55.742	0.500
−0.762	56.115	0.500
−0.818	55.867	0.500
0.532	57.341	0.500
0.413	57.117	0.500
−0.090	57.326	0.500
−0.247	57.127	0.500
0.257	56.770	0.500
0.471	57.230	0.500
0.306	56.887	0.500
−0.321	57.024	0.500
−0.391	56.918	0.500
−0.521	56.700	0.500
0.358	57.003	0.500
0.212	56.651	0.500
−0.458	56.810	0.500
−0.580	56.588	0.500
−0.170	57.228	0.500
0.705	58.145	0.500
1.025	58.079	0.500
−0.008	57.423	0.500
0.801	57.772	0.500
0.873	57.876	0.500
0.520	57.971	0.500
0.948	57.978	0.500
1.104	58.179	0.500
0.799	58.231	0.500
0.612	58.059	0.500
0.595	57.451	0.500
0.661	57.560	0.500
0.339	57.794	0.500
0.076	57.518	0.500
0.250	57.703	0.500
0.730	57.667	0.500
0.429	57.883	0.500
0.162	57.612	0.500
1.082	58.485	0.500
1.563	58.899	0.500
1.266	58.374	0.500
1.660	58.982	0.500
0.988	58.401	0.500
1.370	58.735	0.500
1.435	58.564	0.500
0.893	58.316	0.500
1.521	58.657	0.500
1.184	58.277	0.500
1.466	58.817	0.500
1.768	59.033	0.500
1.350	58.469	0.500
1.274	58.652	0.500
1.178	58.569	0.500
1.698	58.839	0.500
1.787	58.929	0.500
1.609	58.749	0.500
0.463	52.698	1.000
0.021	52.905	1.000
0.321	52.501	1.000
0.398	52.942	1.000
0.361	53.063	1.000
0.324	53.183	1.000
0.235	52.593	1.000
0.433	52.462	1.000
−0.170	53.232	1.000
−0.045	53.012	1.000
0.433	52.821	1.000
0.479	52.573	1.000
0.159	52.694	1.000
−0.108	53.122	1.000
0.088	52.798	1.000
−0.288	53.454	1.000
−0.550	54.028	1.000
0.216	53.546	1.000
0.119	53.912	1.000
−0.399	53.681	1.000
0.288	53.304	1.000
−0.230	53.343	1.000
0.150	53.790	1.000
0.090	54.035	1.000
−0.452	53.796	1.000
−0.502	53.912	1.000
0.251	53.425	1.000
0.182	53.668	1.000
−0.345	53.567	1.000
−0.019	54.656	1.000
0.063	54.158	1.000
0.017	54.406	1.000
−0.043	54.907	1.000
0.039	54.282	1.000
−0.774	54.750	1.000
−0.032	54.781	1.000
−0.746	54.627	1.000
−0.595	54.146	1.000
−0.714	54.506	1.000
−0.638	54.265	1.000
−0.799	54.874	1.000
−0.002	54.531	1.000
−0.677	54.385	1.000
−0.832	55.124	1.000
−0.028	55.663	1.000
−0.818	54.999	1.000
−0.048	55.412	1.000
−0.841	55.250	1.000
−0.845	55.376	1.000
−0.833	55.628	1.000
−0.049	55.033	1.000
−0.842	55.502	1.000
−0.040	55.537	1.000
−0.052	55.285	1.000
−0.053	55.159	1.000
0.131	56.402	1.000
−0.818	55.753	1.000
−0.599	56.475	1.000
−0.735	56.122	1.000
−0.695	56.242	1.000
0.034	56.036	1.000
−0.797	55.878	1.000
−0.011	55.788	1.000
0.062	56.159	1.000
−0.650	56.360	1.000
0.095	56.281	1.000
−0.769	56.001	1.000
0.009	55.913	1.000
0.172	56.521	1.000
−0.417	56.807	1.000
0.216	56.640	1.000
−0.200	57.117	1.000
0.426	57.098	1.000
−0.482	56.699	1.000
0.042	57.408	1.000
−0.543	56.588	1.000
−0.041	57.313	1.000
−0.275	57.016	1.000
0.548	57.319	1.000
0.263	56.756	1.000
0.486	57.209	1.000
0.314	56.872	1.000
−0.122	57.216	1.000
0.368	56.986	1.000
−0.348	56.912	1.000
1.132	58.141	1.000
0.898	57.844	1.000
0.665	58.033	1.000
0.974	57.944	1.000
0.214	57.593	1.000
0.573	57.947	1.000
0.302	57.683	1.000
0.751	57.638	1.000
1.213	58.238	1.000
0.758	58.119	1.000
1.052	58.043	1.000
0.824	57.742	1.000
0.127	57.501	1.000
0.681	57.533	1.000
0.851	58.204	1.000
0.614	57.427	1.000
0.391	57.772	1.000
0.482	57.860	1.000
1.818	58.881	1.000
1.296	53.333	1.000
1.552	58.612	1.000
1.639	58.703	1.000
1.817	58.988	1.000
1.229	58.539	1.000
1.465	58.520	1.000
1.039	58.372	1.000
1.708	58.950	1.000
0.945	58.288	1.000
1.515	58.786	1.000
1.380	58.427	1.000
1.324	58.622	1.000
1.134	58.456	1.000
1.728	58.792	1.000
1.611	58.868	1.000
1.420	58.704	1.000
0.440	52.589	1.500
0.193	52.610	1.500
0.055	52.816	1.500
0.393	52.479	1.500
0.124	52.711	1.500
−0.011	52.923	1.500
0.360	52.955	1.500
−0.195	53.250	1.500
0.282	52.517	1.500
0.424	52.713	1.500
0.288	53.196	1.500
−0.074	53.031	1.500
0.394	52.835	1.500
0.324	53.076	1.500
−0.136	53.140	1.500
−0.253	53.361	1.500
0.182	53.557	1.500
0.118	53.799	1.500
−0.310	53.473	1.500
−0.417	53.700	1.500
0.252	53.316	1.500
−0.364	53.586	1.500
0.149	53.678	1.500
0.088	53.921	1.500
−0.516	53.931	1.500
0.060	54.043	1.500
−0.468	53.815	1.500
−0.562	54.047	1.500
0.217	53.436	1.500
−0.056	54.786	1.500
−0.028	54.537	1.500
−0.749	54.645	1.500
0.011	54.289	1.500
−0.797	54.891	1.500
0.034	54.166	1.500
−0.718	54.524	1.500
−0.684	54.403	1.500
−0.043	54.661	1.500
−0.065	54.911	1.500
−0.606	54.165	1.500
−0.646	54.283	1.500
−0.775	54.768	1.500
−0.010	54.413	1.500
−0.817	55.641	1.500
−0.826	55.140	1.500
−0.054	55.537	1.500
−0.070	55.036	1.500
−0.814	55.016	1.500
−0.064	55.412	1.500
−0.828	55.516	1.500
−0.040	55.662	1.500
−0.072	55.162	1.500
−0.070	55.287	1.500
−0.833	55.266	1.500
−0.834	55.391	1.500
0.174	56.511	1.500
−0.022	55.786	1.500
−0.665	56.248	1.500
0.132	56.393	1.500
−0.617	56.363	1.500
0.093	56.274	1.500
0.027	56.032	1.500
−0.708	56.130	1.500
0.001	55.909	1.500
−0.799	55.765	1.500
−0.744	56.010	1.500
−0.563	56.477	1.500
−0.775	55.888	1.500
0.058	56.153	1.500
0.009	57.298	1.500
0.439	57.079	1.500
−0.304	56.906	1.500
0.324	56.856	1.500
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−0.910	54.627	19.000
−1.073	54.363	19.000
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−0.556	55.038	19.000
−1.245	54.414	19.000
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0.139	55.657	19.000
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0.079	55.608	19.000
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0.019	55.559	19.000
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0.199	55.706	19.000
0.562	56.195	19.000
0.816	56.177	19.000
0.505	55.945	19.000
0.376	56.054	19.000
0.253	55.960	19.000
0.321	55.802	19.000
0.687	56.287	19.000
0.691	56.085	19.000
0.629	56.039	19.000
0.500	56.148	19.000
0.382	55.850	19.000
0.878	56.223	19.000
0.315	56.007	19.000
0.192	55.912	19.000
0.131	55.864	19.000
0.010	55.767	19.000
0.941	56.269	19.000
0.624	56.241	19.000
0.444	55.898	19.000
0.567	55.992	19.000
0.753	56.131	19.000
0.438	56.101	19.000
0.260	55.754	19.000
0.070	55.816	19.000
1.066	56.558	19.000
1.698	56.812	19.000
1.067	56.360	19.000
0.875	56.424	19.000
1.129	56.602	19.000
1.382	56.586	19.000
1.387	56.775	19.000
1.193	56.451	19.000
1.194	56.646	19.000
1.004	56.315	19.000
1.452	56.817	19.000
0.812	56.378	19.000
1.322	56.732	19.000
0.749	56.333	19.000
1.508	56.676	19.000
1.635	56.766	19.000
1.572	56.721	19.000
1.445	56.631	19.000
1.002	56.513	19.000
1.256	56.496	19.000
1.258	56.689	19.000
1.130	56.406	19.000
0.938	56.469	19.000
1.319	56.541	19.000
1.517	56.859	19.000
1.847	57.060	19.000
1.824	56.902	19.000
1.713	56.986	19.000
1.761	56.857	19.000
1.582	56.902	19.000
1.648	56.944	19.000
1.907	57.019	19.000
1.886	56.949	19.000
1.778	57.028	19.000
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−0.994	54.836	19.500
−0.946	54.895	19.500
−0.781	54.770	19.500
−0.732	54.827	19.500
−0.829	54.712	19.500
−1.203	54.522	19.500
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−0.920	54.591	19.500
−0.846	55.007	19.500
−0.963	54.529	19.500
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−0.794	55.062	19.500
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0.280	55.733	19.500
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−0.189	55.351	19.500
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0.102	55.592	19.500
−0.469	55.098	19.500
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0.161	55.639	19.500
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0.220	55.686	19.500
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0.043	55.545	19.500
−0.055	55.708	19.500
0.946	56.230	19.500
0.762	56.096	19.500
0.424	56.076	19.500
0.460	55.871	19.500
0.304	55.985	19.500
0.005	55.754	19.500
0.823	56.141	19.500
0.400	55.825	19.500
0.667	56.256	19.500
0.364	56.031	19.500
0.064	55.801	19.500
0.124	55.847	19.500
0.641	56.007	19.500
1.007	56.274	19.500
0.340	55.779	19.500
0.606	56.211	19.500
0.520	55.916	19.500
0.702	56.052	19.500
0.485	56.121	19.500
0.546	56.166	19.500
0.885	56.185	19.500
0.184	55.894	19.500
0.580	55.962	19.500
0.244	55.939	19.500
1.623	56.711	19.500
1.685	56.754	19.500
0.913	56.431	19.500
1.562	56.667	19.500
1.315	56.493	19.500
1.288	56.686	19.500
0.975	56.474	19.500
1.500	56.623	19.500
1.225	56.644	19.500
1.808	56.842	19.500
1.037	56.517	19.500
0.729	56.300	19.500
1.253	56.449	19.500
1.376	56.536	19.500
1.191	56.405	19.500
1.746	56.798	19.500
1.415	56.768	19.500
1.352	56.727	19.500
1.100	56.560	19.500
1.162	56.602	19.500
1.068	56.318	19.500
1.130	56.362	19.500
1.478	56.809	19.500
0.790	56.344	19.500
0.852	56.388	19.500
1.438	56.580	19.500
1.542	56.850	19.500
1.606	56.890	19.500
1.863	56.964	19.500
1.669	56.931	19.500
1.864	56.892	19.500
1.733	56.972	19.500
1.801	57.001	19.500
−1.100	54.277	19.640
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−1.190	54.071	19.640
−0.819	54.718	19.640
−0.672	54.888	19.640
−0.990	54.843	19.640
−1.123	54.662	19.640
−0.994	54.475	19.640
−1.162	54.598	19.640
−0.866	54.660	19.640
−0.953	54.538	19.640
−0.620	54.942	19.640
−0.771	54.776	19.640
−1.032	54.411	19.640
−0.893	54.957	19.640
−0.942	54.901	19.640
−1.081	54.724	19.640
−0.790	55.067	19.640
−0.722	54.832	19.640
−0.911	54.600	19.640
−0.842	55.013	19.640
−1.036	54.784	19.640
−0.347	55.469	19.640
−0.567	54.995	19.640
−0.289	55.517	19.640
−0.294	55.252	19.640
−0.573	55.273	19.640
−0.629	55.223	19.640
−0.683	55.172	19.640
−0.518	55.323	19.640
−0.405	55.151	19.640
−0.461	55.372	19.640
−0.181	55.350	19.640
−0.238	55.301	19.640
−0.231	55.564	19.640
−0.514	55.048	19.640
−0.124	55.398	19.640
−0.737	55.120	19.640
−0.404	55.421	19.640
−0.350	55.202	19.640
−0.460	55.100	19.640
0.301	55.979	19.640
0.361	56.024	19.640
−0.009	55.494	19.640
0.049	55.541	19.640
0.403	55.818	19.640
−0.173	55.611	19.640
0.167	55.635	19.640
−0.067	55.446	19.640
0.108	55.588	19.640
−0.055	55.705	19.640
0.004	55.751	19.640
0.285	55.727	19.640
0.463	55.864	19.640
0.122	55.843	19.640
0.182	55.888	19.640
0.063	55.797	19.640
0.225	55.681	19.640
0.241	55.934	19.640
−0.114	55.658	19.640
0.344	55.773	19.640
0.541	56.158	19.640
0.946	56.219	19.640
0.764	56.087	19.640
0.421	56.069	19.640
0.885	56.175	19.640
0.481	56.113	19.640
0.703	56.043	19.640
0.723	56.290	19.640
1.007	56.262	19.640
0.643	55.998	19.640
0.523	55.909	19.640
0.662	56.246	19.640
0.345	56.377	19.640
0.602	56.202	19.640
0.824	56.131	19.640
0.784	56.334	19.640
0.583	55.953	19.640
0.906	56.420	19.640
1.154	56.589	19.640
1.435	56.565	19.640
1.092	56.547	19.640
1.279	56.672	19.640
1.030	56.505	19.640
1.373	56.522	19.640
1.068	56.306	19.640
1.216	56.630	19.640
1.557	56.652	19.640
1.404	56.753	19.640
1.341	56.713	19.640
1.129	56.349	19.640
1.312	56.479	19.640
1.496	56.609	19.640
1.251	56.436	19.640
1.467	56.794	19.640
1.190	56.393	19.640
0.968	56.463	19.640
1.741	56.782	19.640
1.850	56.948	19.640
1.680	56.738	19.640
1.594	56.874	19.640
1.855	56.876	19.640
1.720	56.955	19.640
1.788	56.983	19.640
1.802	56.825	19.640
1.531	56.834	19.640
1.618	56.695	19.640
1.657	56.915	19.640

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. 6 , 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 , respectively, mounting buckets which, in conjunction with respective stator vanes 41 , 43 , 45 and 47 , form the various stages of the rotor. Particularly, the fourth stage comprises a fourth-stage rotor wheel 48 on which the airfoils 10 hereof are mounted in opposition to fourth-stage stator vanes 47 . It will be appreciated that a plurality of the airfoils 10 are spaced circumferentially one from the other about the fourth-stage wheel 48 and, in this instance, there are eighty-eight buckets mounted on the fourth-stage wheel 48 .

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 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 a radially innermost aerodynamic section of the airfoil and X and Y are coordinate values 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 fourth stage of a turbine.

3. A turbine bucket having an uncoated nominal airfoil profile 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 a radially innermost aerodynamic section of the airfoil and X and Y are coordinate values 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 fourth 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 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 a radially innermost aerodynamic section of the airfoil and X and Y are coordinate values 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 the fourth stage of the turbine.

7. A turbine according to claim 5 wherein the turbine wheel has eighty-eight buckets and the Y direction represents a distance parallel to a rotary 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 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 an X, Y plane at the radially innermost aerodynamic section of the airfoil and X and Y are coordinate values 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, 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.

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

10. A turbine according to claim 8 wherein the turbine wheel has eighty-eight buckets and the Y direction represents a distance parallel to a rotary axis of the turbine wheel.