Turbine blade having improved flutter capability and increased turbine stage output

Abstract

A turbine blade, airfoil configuration, and rotor stage are disclosed in which through the airfoil profile disclosed in Table 1, a modification in airfoil flutter and swirl are achieved. Through the airfoil configuration, the swirl and improved platform sealing configuration, result in the turbine blades having the airfoil profile with an increased performance output from the turbine.

Description

CROSS-REFERENCE TO RELATED APPLICATIONS

Not applicable.

TECHNICAL FIELD

The present invention generally relates to gas turbine engines. More specifically, a turbine blade is disclosed having an airfoil profile that reduces aerodynamic flutter while increasing the overall power output from the stage of the turbine.

BACKGROUND OF THE INVENTION

A typical gas turbine combustor comprises a compressor, at least one combustor, and a turbine, with the compressor and turbine coupled together through an axial shaft. In operation, air passes through the compressor, where the pressure of the air increases and then passes to a combustion section, where fuel is mixed with the compressed air in one or more combustion chambers. The hot combustion gases then pass into the turbine and drive the turbine. As the turbine rotates, the compressor turns, since they are coupled together along a common shaft. The turning of the shaft also drives the generator for electrical applications. The engine must operate within the confines of the environmental regulations for the area in which the engine is located. As a result, more advanced combustion systems have been developed to more efficiently mix fuel and air so as to provide more complete combustion, which results in lower emissions.

As the demand for more powerful and efficient turbine engines continues to increase, it is necessary to improve the efficiency at each stage of the turbine, so as to get the most work possible out of the turbine. To achieve this efficiency improvement, it is necessary to remove any design defects that limit the turbine from achieving its maximum performance. Turbine blades have been known to be limited in power output by a variety of conditions including, but not limited to creep, flutter, and erosion.

Flutter is a dangerous condition caused by the interaction of an airfoil's structural modes of vibration with the aerodynamic pressure distribution on the blade. As the airfoil portion of the turbine blade vibrates, its pressure magnitudes and distributions fluctuate due to the changing flow path geometry. This can result in energy being either added to the flow (a condition know as positive aero-damping) or energy being extracted from the flow (negative aero-damping). If the energy being extracted from the flow is greater than can be dissipated through mechanical damping, the amplitude of the displacements will increase. The cycle repeats itself and is compounded until either the energy input and energy dissipated balance each other, or failure occurs. In order to avoid excessive flutter which can cause component failure, limitations may be placed upon the operating condition of the turbine. Furthermore, excessive flutter outside of acceptable limits can cause the turbine blade to fail over time.

SUMMARY

Embodiments of the present invention are directed towards a system and method for, among other things, a turbine blade having an increased power output which avoids operational limitations found in prior art turbine blade designs.

In one embodiment of the present invention, a turbine blade is disclosed having an attachment, a neck, a platform extending radially outward from the neck, an airfoil extending radially outward from said platform, and a shroud extending radially outward from the airfoil, where the airfoil has an uncoated profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in Table 1, carried to three decimal places, wherein Z is a distance measured radially from the platform.

In an alternate embodiment of the present invention, an airfoil for a turbine blade having an uncoated profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in Table 1, carried to three decimal places, wherein Z is a distance measured radially from a platform.

In yet another embodiment of the present invention, a turbine rotor stage is disclosed having a plurality of turbine blades are secured to a rotor disk, the turbine blades each having an airfoil having an uncoated profile substantially in accordance with Cartesian Coordinates values of X, Y, and Z as set forth in Table 1, wherein the profiles generate a reduced swirl exiting from the rotor stage.

Additional advantages and features of the present invention will be set forth in part in a description which follows, and in part will become apparent to those skilled in the art upon examination of the following, or may be learned from practice of the invention.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS

The present invention is described in detail below with reference to the attached drawing figures, wherein:

FIG. 1 depicts a perspective view of an embodiment of the present invention;

FIG. 2 depicts an elevation view of an embodiment of the present invention;

FIG. 3 depicts a top view of an embodiment of the present invention;

FIG. 4A-4E depicts a series of cross section views taken a various spans along the airfoil comparing the prior art airfoil to an embodiment of the present invention;

FIG. 5 depicts a perspective view of a series of airfoil sections outlined in the Cartesian Coordinates of Table 1;

FIG. 6 depicts a portion of a blade root and blade seal passage in an elevation view in accordance with an alternate embodiment of the present invention;

FIG. 7 depicts a portion of a rotor assembly and blade seals taken in a cross section through FIG. 6 in accordance with an alternate embodiment of the present invention;

FIG. 8 depicts a chart showing the increase in throat area for each section of the airfoil, as determined by the change in gage angle in accordance with an alternate embodiment of the present invention.

FIG. 9 depicts a chart showing change in turbine exit swirl angle for each section of the airfoil.

DETAILED DESCRIPTION

The subject matter of the present invention is described with specificity herein to meet statutory requirements. However, the description itself is not intended to limit the scope of this patent. Rather, the inventors have contemplated that the claimed subject matter might also be embodied in other ways, to include different components, combinations of components, steps, or combinations of steps similar to the ones described in this document, in conjunction with other present or future technologies.

Referring initially to FIGS. 1-3, a turbine blade 100 in accordance with an embodiment of the present invention is disclosed. The turbine blade 100 comprises an attachment 102, a neck 104 extending radially outward from the attachment 102, and a platform 106 extending radially outward from the neck 104. An airfoil 108 extends radially outward from the platform 106 and a shroud 110 extends radially outward from the airfoil 108. The airfoil 108 has an uncoated profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in Table 1, carried to three decimal places, where Z is a distance measured radially from the platform 106. All coordinate values X, Y, and Z are measured in inches. FIG. 4A-4E depicts a series of airfoil cross sections taken at various span positions for both the prior art blade and the present invention.

The turbine blade 100 also comprises a recessed region 112 that extends along a portion of the axial length of the platform 106 between the platform 106 and the attachment 102. Located within the recessed region 112 is a seal pin 114 that serves to seal any gap between adjacent turbine blades 100.

The turbine blade 100 is fabricated through a casting and machining process. Specifically, in an embodiment of the present invention, the turbine blade is cast from a nickel-based super alloy. Examples of acceptable alloys include, but are not limited to, Rene 80, GTD111, and MGA2400. For the embodiment disclosed herein, the airfoil has a modified profile that results in a volume reduction of approximately 15%. Therefore, for the airfoil profile of the present invention, the blade weight is reduced by approximately four pounds compared to a prior art turbine blade fabricated from CM-247.

As a result of the casting process, the profile of the airfoil 108 can vary typically up to 0.030 inches relative to the nominal coordinates. In order to provide further thermal capability, the airfoil 108 of the turbine blade 100 comprises a MCrAlY bond coating of approximately 0.0055 inches thick, where M can be a variety of metals including, but not limited to Cobalt, Nickel, or a Cobalt Nickel mixture. By application of the bond coating, the turbine blade 100 is achieves an improved oxidation resistance over the prior art configuration.

As previously discussed, FIG. 4A-4E depicts a plurality of section views taken through turbine blade 100 and overlaid on top of section views taken from the prior art turbine blade at the same radial percent span. For example, representative sections are taken at 10% span, 30% span, 50% span, 70% span and the tip of the airfoil adjacent to the shroud. As it can be seen from each of the cross section views, the camber of the airfoil has generally been reduced across the span to essentially “open up” the airfoil compared to the prior art design. This opening effect contributes to the increased throat area for the rotor stage.

The airfoil 108 of the present invention is generated by connecting X,Y coordinates with a smooth arc at a number of Z positions extending radially outward from the blade platform. For the present invention, eleven sections of X,Y coordinate data are first connected together. These sections, some of which are shown in FIG. 5, are then connected together by a series of smooth curves to generate the airfoil surface.

In an alternate embodiment of the present invention, an airfoil for a turbine blade having an uncoated profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in Table 1 carried to three decimal places. The airfoil 108 is formed by connecting adjacent sections of X, Y coordinate data at a series of Z positions measured radially from a platform. Because the airfoil is cast, there are tolerances in the casting process, and as such the airfoil can vary in profile and position by about +/−0.030 inches.

In yet another embodiment of the present invention, a plurality of turbine blades 100 are secured to a rotor disk to form a rotor stage. The plurality of turbine blades each have an airfoil having an uncoated profile substantially in accordance with Cartesian Coordinate values of X, Y, and Z as set forth in Table 1. When the profiles of the airfoils for the blades are positioned in the rotor disk, they create a throat area of approximately 3,625 in² between adjacent airfoils and have a reduced swirl exiting the rotor stage. Referring to FIG. 8, a chart is disclosed depicting the increase in throat area for each section of the airfoil, as determined by the change in gage angle. As a result of the changes the throat area for an embodiment of the present invention increased from approximately 3187 in² to approximately 3625 in², or a 13.7% increase.

Where an embodiment of the present invention is used as the last stage of a turbine, the swirl coming off the last stage can limit the rate at which the rotor stage can operate. By opening the blade up to increase the throat area, the flow of air passing therethrough has a smaller swirl imparted to it, and as such, the last stage of the turbine can be pushed to increase output. The present invention is designed to reduce the turbine exit swirl angle to approximately 10 deg. Utilizing an embodiment of the present invention in the last stage of a turbine can result in approximately a 10% increase in power output from the gas turbine engine.

As previously discussed, the turbine blade 100 also utilizes a seal 114 for sealing the axially-extending gap between adjacent platforms 106 in a rotor stage. The seal and its positioning can be seen from FIGS. 6 and 7. Specifically, the seal 114 is positioned in a recessed region 112 of the platform 106, where the recessed region 112 extends axially along a majority of a length of the platform 106. As shown in FIG. 7, when a second turbine blade is positioned adjacent to the seal 114, and the blades are in operation, under centrifugal loading, the gap between mating turbine blades is then blocked by the seal 114.

TABLE 1
X	Y	Z
−2.863	0.849	0.000
−2.727	0.794	0.000
−2.593	0.737	0.000
−2.458	0.681	0.000
−2.322	0.627	0.000
−2.186	0.575	0.000
−2.048	0.525	0.000
−1.910	0.478	0.000
−1.771	0.434	0.000
−1.631	0.392	0.000
−1.490	0.354	0.000
−1.348	0.318	0.000
−1.206	0.286	0.000
−1.063	0.256	0.000
−0.919	0.229	0.000
−0.775	0.205	0.000
−0.631	0.184	0.000
−0.486	0.165	0.000
−0.341	0.149	0.000
−0.195	0.136	0.000
−0.049	0.126	0.000
0.096	0.118	0.000
0.242	0.113	0.000
0.388	0.110	0.000
0.534	0.109	0.000
0.681	0.111	0.000
0.827	0.115	0.000
0.972	0.121	0.000
1.118	0.130	0.000
1.264	0.141	0.000
1.409	0.154	0.000
1.555	0.168	0.000
1.700	0.185	0.000
1.845	0.204	0.000
1.989	0.225	0.000
2.134	0.248	0.000
2.278	0.272	0.000
2.421	0.299	0.000
2.565	0.327	0.000
2.707	0.357	0.000
2.850	0.390	0.000
2.992	0.424	0.000
3.133	0.461	0.000
3.274	0.500	0.000
3.414	0.543	0.000
3.552	0.590	0.000
3.689	0.637	0.000
3.744	0.526	0.000
3.625	0.444	0.000
3.498	0.371	0.000
3.371	0.300	0.000
3.241	0.232	0.000
3.111	0.166	0.000
2.979	0.103	0.000
2.846	0.042	0.000
2.713	−0.016	0.000
2.578	−0.072	0.000
2.442	−0.126	0.000
2.305	−0.177	0.000
2.167	−0.226	0.000
2.029	−0.272	0.000
1.889	−0.315	0.000
1.749	−0.355	0.000
1.607	−0.392	0.000
1.465	−0.426	0.000
1.323	−0.457	0.000
1.179	−0.485	0.000
1.035	−0.510	0.000
0.891	−0.532	0.000
0.746	−0.550	0.000
0.601	−0.565	0.000
0.455	−0.576	0.000
0.309	−0.583	0.000
0.163	−0.587	0.000
0.017	−0.588	0.000
−0.129	−0.584	0.000
−0.275	−0.577	0.000
−0.420	−0.565	0.000
−0.566	−0.550	0.000
−0.710	−0.530	0.000
−0.854	−0.507	0.000
−0.998	−0.479	0.000
−1.140	−0.447	0.000
−1.282	−0.411	0.000
−1.422	−0.370	0.000
−1.561	−0.325	0.000
−1.698	−0.275	0.000
−1.834	−0.220	0.000
−1.967	−0.161	0.000
−2.099	−0.097	0.000
−2.227	−0.028	0.000
−2.353	0.046	0.000
−2.475	0.126	0.000
−2.594	0.212	0.000
−2.707	0.304	0.000
−2.814	0.403	0.000
−2.913	0.510	0.000
−3.001	0.627	0.000
−3.065	0.758	0.000
−3.006	0.870	0.000
−2.610	0.728	2.000
−2.483	0.677	2.000
−2.357	0.627	2.000
−2.230	0.579	2.000
−2.102	0.534	2.000
−1.973	0.491	2.000
−1.843	0.450	2.000
−1.713	0.412	2.000
−1.582	0.375	2.000
−1.450	0.341	2.000
−1.318	0.310	2.000
−1.185	0.280	2.000
−1.052	0.253	2.000
−0.919	0.228	2.000
−0.785	0.205	2.000
−0.650	0.185	2.000
−0.515	0.167	2.000
−0.380	0.152	2.000
−0.245	0.138	2.000
−0.110	0.128	2.000
0.026	0.119	2.000
0.162	0.113	2.000
0.298	0.109	2.000
0.434	0.108	2.000
0.569	0.109	2.000
0.705	0.112	2.000
0.841	0.118	2.000
0.977	0.127	2.000
1.112	0.137	2.000
1.248	0.150	2.000
1.383	0.165	2.000
1.517	0.182	2.000
1.652	0.202	2.000
1.786	0.224	2.000
1.920	0.248	2.000
2.053	0.274	2.000
2.186	0.303	2.000
2.319	0.333	2.000
2.451	0.366	2.000
2.582	0.400	2.000
2.713	0.437	2.000
2.843	0.476	2.000
2.973	0.517	2.000
3.102	0.560	2.000
3.229	0.606	2.000
3.356	0.656	2.000
3.483	0.690	2.000
3.499	0.577	2.000
3.384	0.504	2.000
3.267	0.434	2.000
3.150	0.366	2.000
3.031	0.300	2.000
2.912	0.236	2.000
2.791	0.173	2.000
2.670	0.111	2.000
2.547	0.052	2.000
2.424	−0.006	2.000
2.300	−0.062	2.000
2.176	−0.115	2.000
2.050	−0.166	2.000
1.923	−0.215	2.000
1.794	−0.260	2.000
1.665	−0.303	2.000
1.536	−0.343	2.000
1.405	−0.380	2.000
1.273	−0.414	2.000
1.141	−0.445	2.000
1.008	−0.473	2.000
0.874	−0.498	2.000
0.740	−0.519	2.000
0.605	−0.536	2.000
0.470	−0.551	2.000
0.334	−0.562	2.000
0.199	−0.569	2.000
0.063	−0.572	2.000
−0.073	−0.572	2.000
−0.209	−0.568	2.000
−0.345	−0.560	2.000
−0.480	−0.549	2.000
−0.615	−0.533	2.000
−0.750	−0.514	2.000
−0.884	−0.490	2.000
−1.017	−0.462	2.000
−1.149	−0.431	2.000
−1.280	−0.395	2.000
−1.410	−0.354	2.000
−1.538	−0.310	2.000
−1.665	−0.261	2.000
−1.790	−0.207	2.000
−1.912	−0.149	2.000
−2.033	−0.085	2.000
−2.150	−0.017	2.000
−2.264	0.056	2.000
−2.375	0.136	2.000
−2.481	0.221	2.000
−2.580	0.314	2.000
−2.672	0.414	2.000
−2.752	0.524	2.000
−2.809	0.646	2.000
−2.743	0.746	2.000
−2.363	0.614	4.000
−2.244	0.571	4.000
−2.126	0.527	4.000
−2.007	0.485	4.000
−1.887	0.446	4.000
−1.766	0.409	4.000
−1.645	0.374	4.000
−1.523	0.341	4.000
−1.400	0.310	4.000
−1.277	0.282	4.000
−1.154	0.255	4.000
−1.030	0.231	4.000
−0.906	0.209	4.000
−0.781	0.188	4.000
−0.656	0.170	4.000
−0.531	0.154	4.000
−0.405	0.140	4.000
−0.280	0.129	4.000
−0.154	0.119	4.000
−0.028	0.112	4.000
0.099	0.106	4.000
0.225	0.103	4.000
0.351	0.103	4.000
0.477	0.104	4.000
0.604	0.108	4.000
0.730	0.114	4.000
0.856	0.122	4.000
0.981	0.133	4.000
1.107	0.146	4.000
1.232	0.161	4.000
1.358	0.178	4.000
1.482	0.198	4.000
1.607	0.220	4.000
1.730	0.245	4.000
1.854	0.271	4.000
1.977	0.300	4.000
2.099	0.332	4.000
2.221	0.366	4.000
2.342	0.402	4.000
2.462	0.440	4.000
2.582	0.481	4.000
2.700	0.524	4.000
2.818	0.569	4.000
2.935	0.617	4.000
3.051	0.667	4.000
3.166	0.720	4.000
3.282	0.742	4.000
3.270	0.638	4.000
3.164	0.570	4.000
3.057	0.504	4.000
2.949	0.438	4.000
2.840	0.375	4.000
2.730	0.312	4.000
2.620	0.250	4.000
2.509	0.190	4.000
2.398	0.131	4.000
2.286	0.073	4.000
2.173	0.016	4.000
2.059	−0.039	4.000
1.944	−0.091	4.000
1.829	−0.142	4.000
1.712	−0.191	4.000
1.594	−0.236	4.000
1.476	−0.280	4.000
1.356	−0.320	4.000
1.236	−0.358	4.000
1.115	−0.393	4.000
0.992	−0.424	4.000
0.869	−0.453	4.000
0.746	−0.478	4.000
0.621	−0.499	4.000
0.496	−0.518	4.000
0.371	−0.532	4.000
0.245	−0.543	4.000
0.119	−0.551	4.000
−0.007	−0.555	4.000
−0.133	−0.555	4.000
−0.259	−0.551	4.000
−0.385	−0.544	4.000
−0.511	−0.532	4.000
−0.637	−0.517	4.000
−0.761	−0.498	4.000
−0.885	−0.475	4.000
−1.009	−0.448	4.000
−1.131	−0.416	4.000
−1.252	−0.381	4.000
−1.372	−0.341	4.000
−1.490	−0.297	4.000
−1.607	−0.249	4.000
−1.722	−0.196	4.000
−1.834	−0.139	4.000
−1.944	−0.076	4.000
−2.050	−0.009	4.000
−2.153	0.064	4.000
−2.252	0.143	4.000
−2.345	0.229	4.000
−2.430	0.322	4.000
−2.505	0.423	4.000
−2.555	0.538	4.000
−2.488	0.627	4.000
−2.140	0.494	6.000
−2.029	0.459	6.000
−1.919	0.421	6.000
−1.807	0.385	6.000
−1.696	0.350	6.000
−1.583	0.318	6.000
−1.470	0.288	6.000
−1.357	0.259	6.000
−1.243	0.233	6.000
−1.128	0.210	6.000
−1.013	0.188	6.000
−0.898	0.169	6.000
−0.782	0.152	6.000
−0.666	0.137	6.000
−0.550	0.125	6.000
−0.434	0.114	6.000
−0.317	0.105	6.000
−0.200	0.099	6.000
−0.083	0.095	6.000
0.034	0.093	6.000
0.151	0.093	6.000
0.267	0.095	6.000
0.384	0.100	6.000
0.501	0.106	6.000
0.618	0.115	6.000
0.734	0.125	6.000
0.850	0.138	6.000
0.966	0.153	6.000
1.082	0.170	6.000
1.197	0.189	6.000
1.312	0.211	6.000
1.427	0.234	6.000
1.541	0.259	6.000
1.655	0.287	6.000
1.768	0.317	6.000
1.880	0.348	6.000
1.992	0.382	6.000
2.104	0.418	6.000
2.214	0.456	6.000
2.324	0.497	6.000
2.433	0.539	6.000
2.541	0.584	6.000
2.648	0.630	6.000
2.754	0.679	6.000
2.859	0.731	6.000
2.963	0.785	6.000
3.066	0.783	6.000
3.023	0.691	6.000
2.924	0.628	6.000
2.826	0.565	6.000
2.726	0.504	6.000
2.626	0.443	6.000
2.526	0.383	6.000
2.425	0.324	6.000
2.324	0.265	6.000
2.222	0.208	6.000
2.120	0.151	6.000
2.017	0.095	6.000
1.914	0.040	6.000
1.810	−0.013	6.000
1.705	−0.066	6.000
1.600	−0.116	6.000
1.493	−0.165	6.000
1.386	−0.211	6.000
1.278	−0.255	6.000
1.168	−0.297	6.000
1.058	−0.335	6.000
0.947	−0.371	6.000
0.834	−0.404	6.000
0.721	−0.433	6.000
0.607	−0.459	6.000
0.492	−0.482	6.000
0.377	−0.501	6.000
0.261	−0.517	6.000
0.145	−0.529	6.000
0.028	−0.537	6.000
−0.089	−0.542	6.000
−0.206	−0.543	6.000
−0.322	−0.540	6.000
−0.439	−0.533	6.000
−0.556	−0.522	6.000
−0.672	−0.507	6.000
−0.787	−0.489	6.000
−0.902	−0.466	6.000
−1.016	−0.439	6.000
−1.128	−0.408	6.000
−1.240	−0.373	6.000
−1.350	−0.334	6.000
−1.459	−0.291	6.000
−1.566	−0.243	6.000
−1.670	−0.191	6.000
−1.772	−0.133	6.000
−1.871	−0.071	6.000
−1.967	−0.004	6.000
−2.058	0.068	6.000
−2.145	0.147	6.000
−2.224	0.233	6.000
−2.294	0.327	6.000
−2.335	0.435	6.000
−2.256	0.505	6.000
−1.970	0.358	8.000
−1.866	0.329	8.000
−1.763	0.297	8.000
−1.660	0.265	8.000
−1.556	0.235	8.000
−1.451	0.208	8.000
−1.346	0.182	8.000
−1.241	0.159	8.000
−1.134	0.139	8.000
−1.028	0.121	8.000
−0.921	0.106	8.000
−0.814	0.092	8.000
−0.706	0.082	8.000
−0.598	0.074	8.000
−0.490	0.068	8.000
−0.382	0.064	8.000
−0.274	0.063	8.000
−0.166	0.064	8.000
−0.058	0.067	8.000
0.050	0.072	8.000
0.157	0.080	8.000
0.265	0.089	8.000
0.373	0.100	8.000
0.480	0.114	8.000
0.587	0.129	8.000
0.694	0.146	8.000
0.800	0.165	8.000
0.906	0.186	8.000
1.012	0.209	8.000
1.117	0.233	8.000
1.222	0.259	8.000
1.326	0.287	8.000
1.430	0.317	8.000
1.534	0.348	8.000
1.637	0.381	8.000
1.739	0.415	8.000
1.841	0.451	8.000
1.942	0.488	8.000
2.043	0.528	8.000
2.143	0.568	8.000
2.243	0.611	8.000
2.341	0.655	8.000
2.439	0.700	8.000
2.537	0.747	8.000
2.633	0.796	8.000
2.728	0.847	8.000
2.818	0.825	8.000
2.761	0.745	8.000
2.670	0.686	8.000
2.580	0.628	8.000
2.488	0.569	8.000
2.397	0.511	8.000
2.306	0.454	8.000
2.214	0.397	8.000
2.121	0.341	8.000
2.029	0.285	8.000
1.936	0.230	8.000
1.842	0.176	8.000
1.749	0.122	8.000
1.655	0.069	8.000
1.560	0.016	8.000
1.465	−0.035	8.000
1.370	−0.086	8.000
1.273	−0.135	8.000
1.176	−0.182	8.000
1.078	−0.227	8.000
0.978	−0.270	8.000
0.878	−0.310	8.000
0.777	−0.347	8.000
0.674	−0.382	8.000
0.571	−0.414	8.000
0.467	−0.442	8.000
0.362	−0.468	8.000
0.256	−0.490	8.000
0.149	−0.508	8.000
0.042	−0.522	8.000
−0.065	−0.533	8.000
−0.173	−0.540	8.000
−0.281	−0.543	8.000
−0.389	−0.542	8.000
−0.497	−0.537	8.000
−0.605	−0.528	8.000
−0.712	−0.515	8.000
−0.819	−0.498	8.000
−0.925	−0.476	8.000
−1.030	−0.451	8.000
−1.134	−0.421	8.000
−1.236	−0.387	8.000
−1.337	−0.349	8.000
−1.437	−0.307	8.000
−1.534	−0.260	8.000
−1.629	−0.208	8.000
−1.721	−0.152	8.000
−1.811	−0.091	8.000
−1.896	−0.025	8.000
−1.977	0.046	8.000
−2.052	0.124	8.000
−2.119	0.209	8.000
−2.156	0.309	8.000
−2.077	0.368	8.000
−1.833	0.203	10.000
−1.735	0.180	10.000
−1.639	0.153	10.000
−1.543	0.126	10.000
−1.446	0.100	10.000
−1.349	0.077	10.000
−1.251	0.057	10.000
−1.153	0.040	10.000
−1.054	0.025	10.000
−0.954	0.014	10.000
−0.854	0.006	10.000
−0.755	0.001	10.000
−0.655	−0.002	10.000
−0.555	−0.002	10.000
−0.455	0.001	10.000
−0.355	0.006	10.000
−0.255	0.013	10.000
−0.156	0.023	10.000
−0.056	0.034	10.000
0.043	0.048	10.000
0.142	0.064	10.000
0.240	0.082	10.000
0.338	0.101	10.000
0.436	0.122	10.000
0.533	0.145	10.000
0.630	0.169	10.000
0.727	0.195	10.000
0.823	0.222	10.000
0.919	0.251	10.000
1.014	0.281	10.000
1.109	0.312	10.000
1.204	0.344	10.000
1.298	0.378	10.000
1.392	0.413	10.000
1.485	0.449	10.000
1.578	0.486	10.000
1.670	0.524	10.000
1.762	0.564	10.000
1.854	0.604	10.000
1.945	0.645	10.000
2.035	0.688	10.000
2.125	0.731	10.000
2.215	0.776	10.000
2.304	0.821	10.000
2.392	0.868	10.000
2.480	0.917	10.000
2.563	0.899	10.000
2.514	0.822	10.000
2.432	0.765	10.000
2.350	0.708	10.000
2.268	0.652	10.000
2.185	0.596	10.000
2.101	0.540	10.000
2.018	0.485	10.000
1.934	0.430	10.000
1.850	0.376	10.000
1.766	0.322	10.000
1.682	0.269	10.000
1.597	0.216	10.000
1.511	0.164	10.000
1.426	0.112	10.000
1.340	0.060	10.000
1.254	0.009	10.000
1.168	−0.041	10.000
1.081	−0.090	10.000
0.993	−0.139	10.000
0.905	−0.186	10.000
0.816	−0.231	10.000
0.725	−0.274	10.000
0.634	−0.315	10.000
0.542	−0.353	10.000
0.448	−0.389	10.000
0.354	−0.422	10.000
0.258	−0.451	10.000
0.162	−0.477	10.000
0.065	−0.500	10.000
−0.034	−0.519	10.000
−0.132	−0.535	10.000
−0.232	−0.546	10.000
−0.331	−0.554	10.000
−0.431	−0.557	10.000
−0.531	−0.557	10.000
−0.631	−0.552	10.000
−0.731	−0.543	10.000
−0.830	−0.529	10.000
−0.928	−0.511	10.000
−1.026	−0.489	10.000
−1.122	−0.462	10.000
−1.217	−0.431	10.000
−1.310	−0.395	10.000
−1.402	−0.355	10.000
−1.491	−0.310	10.000
−1.578	−0.261	10.000
−1.662	−0.206	10.000
−1.743	−0.148	10.000
−1.820	−0.084	10.000
−1.892	−0.014	10.000
−1.957	0.061	10.000
−2.000	0.150	10.000
−1.932	0.209	10.000
−1.702	0.030	12.000
−1.611	0.012	12.000
−1.521	−0.011	12.000
−1.430	−0.034	12.000
−1.339	−0.055	12.000
−1.248	−0.073	12.000
−1.156	−0.087	12.000
−1.063	−0.098	12.000
−0.970	−0.105	12.000
−0.877	−0.108	12.000
−0.784	−0.109	12.000
−0.691	−0.106	12.000
−0.598	−0.100	12.000
−0.505	−0.091	12.000
−0.413	−0.080	12.000
−0.321	−0.066	12.000
−0.229	−0.050	12.000
−0.137	−0.031	12.000
−0.047	−0.011	12.000
0.044	0.012	12.000
0.134	0.036	12.000
0.223	0.062	12.000
0.313	0.089	12.000
0.401	0.118	12.000
0.489	0.148	12.000
0.577	0.180	12.000
0.664	0.212	12.000
0.751	0.246	12.000
0.837	0.282	12.000
0.923	0.318	12.000
1.009	0.355	12.000
1.094	0.393	12.000
1.178	0.432	12.000
1.262	0.472	12.000
1.346	0.513	12.000
1.429	0.555	12.000
1.512	0.597	12.000
1.595	0.640	12.000
1.677	0.684	12.000
1.759	0.729	12.000
1.840	0.774	12.000
1.921	0.820	12.000
2.002	0.867	12.000
2.082	0.915	12.000
2.162	0.964	12.000
2.240	1.014	12.000
2.323	1.028	12.000
2.311	0.949	12.000
2.238	0.891	12.000
2.164	0.834	12.000
2.090	0.778	12.000
2.016	0.721	12.000
1.941	0.666	12.000
1.866	0.610	12.000
1.791	0.556	12.000
1.715	0.501	12.000
1.639	0.447	12.000
1.563	0.393	12.000
1.487	0.340	12.000
1.410	0.287	12.000
1.333	0.234	12.000
1.255	0.183	12.000
1.178	0.131	12.000
1.100	0.080	12.000
1.021	0.029	12.000
0.943	−0.021	12.000
0.864	−0.071	12.000
0.785	−0.120	12.000
0.705	−0.168	12.000
0.624	−0.214	12.000
0.543	−0.260	12.000
0.460	−0.303	12.000
0.377	−0.344	12.000
0.292	−0.382	12.000
0.206	−0.418	12.000
0.118	−0.451	12.000
0.030	−0.481	12.000
−0.059	−0.507	12.000
−0.150	−0.530	12.000
−0.241	−0.549	12.000
−0.333	−0.564	12.000
−0.425	−0.576	12.000
−0.518	−0.583	12.000
−0.611	−0.585	12.000
−0.704	−0.583	12.000
−0.797	−0.577	12.000
−0.890	−0.565	12.000
−0.982	−0.549	12.000
−1.072	−0.528	12.000
−1.162	−0.502	12.000
−1.250	−0.471	12.000
−1.336	−0.435	12.000
−1.419	−0.394	12.000
−1.500	−0.347	12.000
−1.578	−0.296	12.000
−1.653	−0.240	12.000
−1.723	−0.179	12.000
−1.788	−0.112	12.000
−1.841	−0.036	12.000
−1.795	0.032	12.000
−1.590	−0.166	14.000
−1.503	−0.180	14.000
−1.417	−0.199	14.000
−1.331	−0.217	14.000
−1.245	−0.232	14.000
−1.158	−0.244	14.000
−1.070	−0.251	14.000
−0.982	−0.254	14.000
−0.895	−0.254	14.000
−0.807	−0.249	14.000
−0.719	−0.241	14.000
−0.632	−0.230	14.000
−0.546	−0.215	14.000
−0.459	−0.198	14.000
−0.374	−0.178	14.000
−0.289	−0.155	14.000
−0.205	−0.130	14.000
−0.121	−0.103	14.000
−0.038	−0.074	14.000
0.044	−0.043	14.000
0.125	−0.010	14.000
0.206	0.024	14.000
0.286	0.060	14.000
0.366	0.097	14.000
0.445	0.136	14.000
0.523	0.176	14.000
0.601	0.216	14.000
0.678	0.258	14.000
0.755	0.301	14.000
0.831	0.345	14.000
0.907	0.389	14.000
0.982	0.435	14.000
1.057	0.481	14.000
1.131	0.528	14.000
1.205	0.575	14.000
1.278	0.623	14.000
1.352	0.672	14.000
1.425	0.721	14.000
1.497	0.770	14.000
1.570	0.820	14.000
1.642	0.870	14.000
1.714	0.921	14.000
1.786	0.971	14.000
1.857	1.022	14.000
1.929	1.073	14.000
2.000	1.125	14.000
2.072	1.175	14.000
2.126	1.124	14.000
2.069	1.059	14.000
2.004	1.001	14.000
1.938	0.943	14.000
1.871	0.885	14.000
1.804	0.829	14.000
1.737	0.772	14.000
1.670	0.716	14.000
1.602	0.660	14.000
1.534	0.604	14.000
1.466	0.549	14.000
1.397	0.494	14.000
1.329	0.439	14.000
1.260	0.385	14.000
1.191	0.330	14.000
1.121	0.277	14.000
1.051	0.223	14.000
0.981	0.170	14.000
0.911	0.118	14.000
0.840	0.065	14.000
0.769	0.014	14.000
0.698	−0.038	14.000
0.626	−0.088	14.000
0.554	−0.139	14.000
0.481	−0.188	14.000
0.408	−0.236	14.000
0.334	−0.283	14.000
0.258	−0.328	14.000
0.182	−0.372	14.000
0.105	−0.413	14.000
0.026	−0.451	14.000
−0.055	−0.487	14.000
−0.136	−0.519	14.000
−0.219	−0.549	14.000
−0.303	−0.574	14.000
−0.388	−0.596	14.000
−0.474	−0.613	14.000
−0.561	−0.626	14.000
−0.649	−0.635	14.000
−0.736	−0.639	14.000
−0.824	−0.638	14.000
−0.912	−0.632	14.000
−0.999	−0.620	14.000
−1.085	−0.603	14.000
−1.170	−0.580	14.000
−1.253	−0.551	14.000
−1.333	−0.516	14.000
−1.411	−0.474	14.000
−1.485	−0.427	14.000
−1.555	−0.374	14.000
−1.621	−0.316	14.000
−1.682	−0.254	14.000
−1.675	−0.176	14.000
−1.497	−0.400	16.000
−1.414	−0.410	16.000
−1.331	−0.424	16.000
−1.247	−0.435	16.000
−1.163	−0.442	16.000
−1.079	−0.444	16.000
−0.995	−0.442	16.000
−0.911	−0.436	16.000
−0.828	−0.425	16.000
−0.745	−0.411	16.000
−0.663	−0.393	16.000
−0.581	−0.371	16.000
−0.501	−0.347	16.000
−0.422	−0.320	16.000
−0.343	−0.290	16.000
−0.265	−0.257	16.000
−0.189	−0.222	16.000
−0.113	−0.185	16.000
−0.039	−0.147	16.000
0.035	−0.106	16.000
0.108	−0.064	16.000
0.180	−0.020	16.000
0.251	0.024	16.000
0.321	0.071	16.000
0.391	0.118	16.000
0.460	0.166	16.000
0.528	0.216	16.000
0.595	0.266	16.000
0.662	0.317	16.000
0.729	0.369	16.000
0.794	0.421	16.000
0.860	0.474	16.000
0.925	0.527	16.000
0.990	0.581	16.000
1.054	0.635	16.000
1.118	0.689	16.000
1.183	0.744	16.000
1.247	0.798	16.000
1.311	0.852	16.000
1.375	0.907	16.000
1.439	0.961	16.000
1.504	1.015	16.000
1.569	1.069	16.000
1.634	1.122	16.000
1.699	1.175	16.000
1.764	1.228	16.000
1.830	1.280	16.000
1.904	1.291	16.000
1.894	1.218	16.000
1.834	1.159	16.000
1.774	1.099	16.000
1.714	1.041	16.000
1.654	0.982	16.000
1.593	0.924	16.000
1.532	0.866	16.000
1.471	0.808	16.000
1.410	0.751	16.000
1.348	0.693	16.000
1.287	0.636	16.000
1.225	0.579	16.000
1.163	0.522	16.000
1.101	0.465	16.000
1.039	0.408	16.000
0.976	0.352	16.000
0.914	0.296	16.000
0.851	0.240	16.000
0.788	0.184	16.000
0.724	0.129	16.000
0.660	0.074	16.000
0.596	0.020	16.000
0.532	−0.034	16.000
0.467	−0.088	16.000
0.402	−0.141	16.000
0.336	−0.194	16.000
0.270	−0.246	16.000
0.204	−0.297	16.000
0.136	−0.347	16.000
0.068	−0.397	16.000
−0.001	−0.444	16.000
−0.072	−0.489	16.000
−0.145	−0.531	16.000
−0.219	−0.571	16.000
−0.295	−0.607	16.000
−0.373	−0.640	16.000
−0.452	−0.669	16.000
−0.532	−0.694	16.000
−0.613	−0.715	16.000
−0.696	−0.731	16.000
−0.779	−0.742	16.000
−0.863	−0.748	16.000
−0.947	−0.748	16.000
−1.031	−0.742	16.000
−1.114	−0.728	16.000
−1.196	−0.708	16.000
−1.275	−0.680	16.000
−1.351	−0.644	16.000
−1.423	−0.601	16.000
−1.491	−0.552	16.000
−1.555	−0.497	16.000
−1.573	−0.424	16.000
−1.418	−0.665	18.000
−1.336	−0.669	18.000
−1.254	−0.672	18.000
−1.172	−0.672	18.000
−1.091	−0.666	18.000
−1.009	−0.655	18.000
−0.929	−0.640	18.000
−0.849	−0.620	18.000
−0.771	−0.596	18.000
−0.693	−0.569	18.000
−0.617	−0.538	18.000
−0.543	−0.504	18.000
−0.469	−0.468	18.000
−0.397	−0.429	18.000
−0.326	−0.388	18.000
−0.256	−0.344	18.000
−0.188	−0.299	18.000
−0.120	−0.253	18.000
−0.054	−0.204	18.000
0.011	−0.155	18.000
0.076	−0.104	18.000
0.139	−0.052	18.000
0.201	0.001	18.000
0.263	0.055	18.000
0.324	0.110	18.000
0.384	0.166	18.000
0.444	0.222	18.000
0.503	0.279	18.000
0.562	0.336	18.000
0.620	0.394	18.000
0.677	0.452	18.000
0.735	0.511	18.000
0.792	0.570	18.000
0.849	0.629	18.000
0.906	0.688	18.000
0.963	0.747	18.000
1.020	0.805	18.000
1.078	0.864	18.000
1.135	0.922	18.000
1.193	0.980	18.000
1.251	1.038	18.000
1.310	1.095	18.000
1.370	1.151	18.000
1.430	1.207	18.000
1.491	1.262	18.000
1.553	1.316	18.000
1.615	1.370	18.000
1.684	1.410	18.000
1.714	1.348	18.000
1.660	1.286	18.000
1.605	1.225	18.000
1.550	1.164	18.000
1.494	1.104	18.000
1.439	1.043	18.000
1.383	0.983	18.000
1.327	0.923	18.000
1.271	0.863	18.000
1.215	0.803	18.000
1.159	0.743	18.000
1.103	0.684	18.000
1.047	0.624	18.000
0.990	0.565	18.000
0.934	0.505	18.000
0.877	0.446	18.000
0.820	0.387	18.000
0.764	0.327	18.000
0.707	0.269	18.000
0.649	0.210	18.000
0.592	0.151	18.000
0.534	0.093	18.000
0.477	0.035	18.000
0.418	−0.023	18.000
0.360	−0.081	18.000
0.301	−0.138	18.000
0.242	−0.195	18.000
0.183	−0.252	18.000
0.123	−0.308	18.000
0.063	−0.364	18.000
0.002	−0.419	18.000
−0.059	−0.473	18.000
−0.122	−0.526	18.000
−0.186	−0.577	18.000
−0.252	−0.626	18.000
−0.319	−0.673	18.000
−0.388	−0.717	18.000
−0.459	−0.758	18.000
−0.532	−0.795	18.000
−0.608	−0.828	18.000
−0.684	−0.856	18.000
−0.763	−0.880	18.000
−0.843	−0.897	18.000
−0.924	−0.909	18.000
−1.006	−0.914	18.000
−1.088	−0.911	18.000
−1.169	−0.900	18.000
−1.249	−0.880	18.000
−1.325	−0.849	18.000
−1.397	−0.810	18.000
−1.466	−0.765	18.000
−1.489	−0.695	18.000
−1.338	−0.928	20.000
−1.257	−0.916	20.000
−1.176	−0.903	20.000
−1.097	−0.884	20.000
−1.018	−0.861	20.000
−0.942	−0.833	20.000
−0.867	−0.801	20.000
−0.793	−0.765	20.000
−0.721	−0.726	20.000
−0.651	−0.684	20.000
−0.582	−0.640	20.000
−0.515	−0.594	20.000
−0.449	−0.546	20.000
−0.384	−0.496	20.000
−0.321	−0.444	20.000
−0.259	−0.392	20.000
−0.197	−0.338	20.000
−0.137	−0.282	20.000
−0.078	−0.226	20.000
−0.019	−0.169	20.000
0.039	−0.112	20.000
0.096	−0.053	20.000
0.152	0.006	20.000
0.208	0.066	20.000
0.263	0.126	20.000
0.318	0.186	20.000
0.372	0.248	20.000
0.426	0.309	20.000
0.480	0.371	20.000
0.533	0.433	20.000
0.586	0.495	20.000
0.639	0.557	20.000
0.691	0.619	20.000
0.744	0.682	20.000
0.797	0.744	20.000
0.849	0.807	20.000
0.902	0.869	20.000
0.955	0.932	20.000
1.008	0.994	20.000
1.061	1.056	20.000
1.115	1.117	20.000
1.169	1.178	20.000
1.225	1.238	20.000
1.280	1.298	20.000
1.336	1.357	20.000
1.393	1.416	20.000
1.451	1.474	20.000
1.512	1.528	20.000
1.571	1.492	20.000
1.528	1.424	20.000
1.478	1.360	20.000
1.427	1.296	20.000
1.376	1.232	20.000
1.325	1.168	20.000
1.274	1.105	20.000
1.223	1.041	20.000
1.171	0.977	20.000
1.120	0.914	20.000
1.068	0.851	20.000
1.017	0.787	20.000
0.965	0.724	20.000
0.913	0.661	20.000
0.861	0.598	20.000
0.809	0.535	20.000
0.757	0.472	20.000
0.705	0.409	20.000
0.653	0.346	20.000
0.600	0.283	20.000
0.548	0.221	20.000
0.495	0.158	20.000
0.442	0.096	20.000
0.389	0.034	20.000
0.336	−0.028	20.000
0.282	−0.090	20.000
0.229	−0.151	20.000
0.175	−0.213	20.000
0.120	−0.274	20.000
0.065	−0.334	20.000
0.010	−0.395	20.000
−0.045	−0.455	20.000
−0.101	−0.515	20.000
−0.157	−0.574	20.000
−0.213	−0.633	20.000
−0.272	−0.690	20.000
−0.331	−0.746	20.000
−0.393	−0.800	20.000
−0.456	−0.851	20.000
−0.522	−0.899	20.000
−0.590	−0.944	20.000
−0.661	−0.985	20.000
−0.735	−1.020	20.000
−0.889	−1.075	20.000
−0.969	−1.092	20.000
−1.050	−1.100	20.000
−1.131	−1.100	20.000
−1.212	−1.088	20.000
−1.291	−1.065	20.000
−1.367	−1.035	20.000
−1.402	−0.970	20.000

The present invention has been described in relation to particular embodiments, which are intended in all respects to be illustrative rather than restrictive. Alternative embodiments will become apparent to those of ordinary skill in the art to which the present invention pertains without departing from its scope.

From the foregoing, it will be seen that this invention is one well adapted to attain all the ends and objects set forth above, together with other advantages which are obvious and inherent to the system and method. It will be understood that certain features and sub-combinations are of utility and may be employed without reference to other features and sub-combinations. This is contemplated by and within the scope of the claims.

Claims

1. A turbine blade having an attachment, a neck extending radially outward from the attachment, a platform extending radially outward from the neck, an airfoil extending radially outward from the platform, and a shroud extending radially outward from the airfoil, where the airfoil has an uncoated profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in Table 1, carried to three decimal places, wherein Z is a distance measured radially from the platform.

2. The turbine blade of claim 1, wherein the airfoil has manufacturing tolerances of about ±0.030 inches.

3. The turbine blade of claim 1, wherein a recessed region extends along a portion of an axial length of the platform.

4. The turbine blade of claim 3 further comprising a seal positioned within the recessed region.

5. The turbine blade of claim 1, wherein the blade is fabricated from a nickel-based alloy.

6. The turbine blade of claim 1 further comprising a MCrAlY bond coating applied to the airfoil.

7. The turbine blade of claim 6, wherein the coating is applied up to approximately 0.0055″ thick to the airfoil.

8. An airfoil for a turbine blade having an uncoated profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in Table 1, carried to three decimal places, wherein Z is a distance measured radially from a platform.

9. The airfoil of claim 8, wherein the airfoil has manufacturing tolerances of about ±0.030 inches.

10. The airfoil of claim 9 further comprising a coating up to 0.0055 inches thick.

11. The airfoil of claim 10, wherein the coating is a MCrAlY bond coating.

12. A plurality of turbine blades secured to a rotor disk to form a rotor stage, the turbine blades each having an airfoil having an uncoated profile substantially in accordance with Cartesian Coordinates values of X, Y, and Z as set forth in Table 1, wherein the profiles have a reduced swirl exiting from the rotor stage.

13. The plurality of turbine blades of claim 12, wherein adjacent turbine blades form a throat area of approximately 3,625 square inches.

14. The plurality of turbine blades of claim 12 further comprising a plurality of seals positioned between adjacent turbine blades.

15. The plurality of turbine blades of claim 14, wherein the seals are placed in a plurality of recessed regions that extend along a majority of a length of a platform of each turbine blade.

16. The plurality of turbine blades of claim 12, wherein the airfoil has manufacturing tolerances of about ±0.030 inches.

17. The plurality of turbine blades of claim 12 further comprising a MCrAlY bond coating applied to the airfoil.

18. The plurality of turbine blades of claim 17, wherein the bond coating is approximately 0.0055 inches thick.