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Patent Analysis of

Turbine bucket profile

Updated Time 12 June 2019

Patent Registration Data

Publication Number

US10001014

Application Number

US15/019516

Application Date

09 February 2016

Publication Date

19 June 2018

Current Assignee

GENERAL ELECTRIC COMPANY

Original Assignee (Applicant)

GENERAL ELECTRIC COMPANY

International Classification

F01D5/14

Cooperative Classification

F01D5/141,F01D5/147,F05D2220/30,F05D2250/74,F01D5/143

Inventor

HONKOMP, MARK STEVEN,FU, XIAOYONG,SMITH, PAUL KENDALL,WALUNJ, JALINDAR APPA

Patent Images

This patent contains figures and images illustrating the invention and its embodiment.

US10001014 Turbine bucket profile 1 US10001014 Turbine bucket profile 2 US10001014 Turbine bucket profile 3
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Abstract

Various embodiments of the invention include turbine buckets and systems employing such buckets. Various particular embodiments include a turbine bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil.

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Claims

1. A turbine bucket comprising: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil; wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

2. The turbine bucket of claim 1, further comprising a fillet connecting a surface of the base to a surface of the airfoil.

3. The turbine bucket of claim 1, wherein the base includes a straight platform.

4. The turbine bucket of claim 1, wherein an outermost tip of the airfoil includes a reduced thickness.

5. The turbine bucket of claim 1, wherein the non-axisymmetric contour includes a thickened area.

6. The turbine bucket of claim 5, wherein the thickened area has an apex at 0 percent to 5 percent of an axial chord length of the endwall, and wherein the thickened area has a zero percent to 10 percent pitch from the suction side.

7. The turbine bucket of claim 5, wherein the thickened area has an apex at 65 percent to 85 percent of an axial chord length of the endwall, and wherein the thickened area has a zero percent to 10 percent pitch from the suction side.

8. A turbine rotor section comprising:a set of buckets, the set of buckets including at least one bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

9. The turbine rotor section of claim 8, further comprising a fillet connecting a surface of the base to a surface of the airfoil.

10. The turbine rotor section of claim 9, wherein the turbine bucket includes a tucked high-C region proximate the fillet connecting the surface of the base to the surface of the airfoil.

11. The turbine rotor section of claim 8, wherein the non-axisymmetric contour includes a thickened area.

12. The turbine rotor section of claim 11, wherein the thickened area has an apex at 0 percent to 5 percent of an axial chord length of the endwall, and wherein the thickened area has a zero percent to 10 percent pitch from the suction side.

13. The turbine rotor section of claim 11, wherein the thickened area has an apex at 65 percent to 85 percent of an axial chord length of the endwall, and wherein the thickened area has a zero percent to 10 percent pitch from the suction side.

14. The turbine rotor section of claim 8, wherein the base directs flow of a working fluid across a passage trough proximate the suction side of the airfoil.

15. A turbine bucket comprising: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

16. The turbine of claim 15, wherein the non-axisymmetric contour includes a thickened area.

17. The turbine of claim 15, wherein the thickened area is characterized by one of: having an apex at 65 percent to 85 percent of an axial chord length of the endwall, and wherein the thickened area has a zero percent to 10 percent pitch from the suction side, or having an apex at 0 percent to 5 percent of an axial chord length of the endwall, and wherein the thickened area has a zero percent to 10 percent pitch from the suction side.

18. The turbine of claim 15, wherein the base includes a fillet connecting a surface of the base to a surface of the airfoil.

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Claim Tree

  • 1
    1. A turbine bucket comprising:
    • an airfoil having: a suction side
    • a pressure side opposing the suction side
    • a leading edge spanning between the pressure side and the suction side
    • and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side
    • and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil
    • wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
    • 2. The turbine bucket of claim 1, further comprising
      • a fillet connecting a surface of the base to a surface of the airfoil.
    • 3. The turbine bucket of claim 1, wherein
      • the base includes a straight platform.
    • 4. The turbine bucket of claim 1, wherein
      • an outermost tip of the airfoil includes a reduced thickness.
    • 5. The turbine bucket of claim 1, wherein
      • the non-axisymmetric contour includes a thickened area.
  • 8
    8. A turbine rotor section comprising:
    • a set of buckets, the set of buckets including at least one bucket having: an airfoil having: a suction side
    • a pressure side opposing the suction side
    • a leading edge spanning between the pressure side and the suction side
    • and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side
    • and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
    • 9. The turbine rotor section of claim 8, further comprising
      • a fillet connecting a surface of the base to a surface of the airfoil.
    • 11. The turbine rotor section of claim 8, wherein
      • the non-axisymmetric contour includes a thickened area.
    • 14. The turbine rotor section of claim 8, wherein
      • the base directs flow of a working fluid across a passage trough proximate the suction side of the airfoil.
  • 15
    15. A turbine bucket comprising:
    • an airfoil having: a suction side
    • a pressure side opposing the suction side
    • a leading edge spanning between the pressure side and the suction side
    • and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side
    • and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
    • 16. The turbine of claim 15, wherein
      • the non-axisymmetric contour includes a thickened area.
    • 17. The turbine of claim 15, wherein
      • the thickened area is characterized by
    • 18. The turbine of claim 15, wherein
      • the base includes a fillet connecting a surface of the base to a surface of the airfoil.
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Description

FIELD OF THE INVENTION

The subject matter disclosed herein relates to turbomachines. More particularly, the subject matter disclosed herein relates to components within turbomachines such as gas and/or steam turbines.

BACKGROUND OF THE INVENTION

Some aircraft and/or power plant systems, for example certain jet aircraft, nuclear, simple cycle and combined cycle power plant systems, employ turbines (also referred to as turbomachines) in their design and operation. Some of these turbines employ airfoils (e.g., turbine blades, blades, airfoils, etc.) which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and generate energy (e.g., creating thrust, turning kinetic energy to mechanical energy, thermal energy to mechanical energy, etc.) from these fluid flows as part of power generation. As a result of this interaction and conversion, the aerodynamic characteristics and losses of these airfoils have an impact on system and turbine operation, performance, thrust, efficiency, and power.

BRIEF DESCRIPTION OF THE INVENTION

Various embodiments of the invention include turbine buckets and systems employing such buckets. Various particular embodiments include a turbine bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil.

A first aspect of the invention includes a turbine bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil.

A second aspect of the invention includes a turbine rotor section including: a set of buckets, the set of buckets including at least one bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the base including a non-axisymmetric contour proximate a junction between the base and the airfoil, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

A third aspect of the invention includes a turbine bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features of this invention will be more readily understood from the following detailed description of the various aspects of the invention taken in conjunction with the accompanying drawings that depict various embodiments of the invention, in which:

FIG. 1 shows a three-dimensional partial cut-away perspective view of a portion of a turbine according to an embodiment of the invention.

FIG. 2 shows a schematic three-dimensional depiction of a turbine bucket including an airfoil and a base according to various embodiments of the invention.

FIG. 3 shows an example contour plot of the base surface surrounding the airfoil of FIG. 2 according to various embodiments of the invention.

FIG. 4 shows a schematic three-dimensional depiction of a plurality of turbine buckets according to various embodiments of the invention.

FIG. 4A shows a schematic three-dimensional depiction of a turbine bucket including an airfoil and a base according to various embodiments of the invention.

FIG. 5 shows a schematic block diagram illustrating portions of a multi-shaft combined cycle power plant system according to embodiments of the invention; and

FIG. 6 shows a schematic block diagram illustrating portions of a single-shaft combined cycle power plant system according to embodiments of the invention.

It is noted that the drawings of the invention are not necessarily to scale. The drawings are intended to depict only typical aspects of the invention, and therefore should not be considered as limiting the scope of the invention. It is understood that elements similarly numbered between the FIGURES may be substantially similar as described with reference to one another. Further, in embodiments shown and described with reference to FIGS. 1-6, like numbering may represent like elements. Redundant explanation of these elements has been omitted for clarity. Finally, it is understood that the components of FIGS. 1-6 and their accompanying descriptions may be applied to any embodiment described herein.

DETAILED DESCRIPTION OF THE INVENTION

As noted herein, various aspects of the invention are directed toward turbine buckets. Particular aspects of the invention include turbine buckets having a base with a non-axisymmetric contour.

In contrast to conventional turbine buckets, aspects of the invention include a turbine bucket (e.g., a dynamic bucket for driving a turbine shaft) having a non-axisymmetric contour at its base. This non-axisymmetric contour can provide for enhanced performance, efficiency and/or durability of the bucket (and associated turbine stages and turbine machines) when compared with conventional buckets.

As used herein, the terms “axial” and/or “axially” refer to the relative position/direction of objects along axis A, which is substantially parallel to the axis of rotation of the turbomachine (in particular, the rotor section). As further used herein, the terms “radial” and/or “radially” refer to the relative position/direction of objects along axis (r), which is substantially perpendicular with axis A and intersects axis A at only one location. Additionally, the terms “circumferential” and/or “circumferentially” refer to the relative position/direction of objects along a circumference which surrounds axis A but does not intersect the axis A at any location. Further, the term leading edge refers to components and/or surfaces which are oriented upstream relative to the fluid flow of the system, and the term trailing edge refers to components and/or surfaces which are oriented downstream relative to the fluid flow of the system.

In the following description, reference is made to the accompanying drawings that form a part thereof, and in which is shown by way of illustration specific embodiments in which the present teachings may be practiced. These embodiments are described in sufficient detail to enable those skilled in the art to practice the present teachings and it is to be understood that other embodiments may be utilized and that changes may be made without departing from the scope of the present teachings. The following description is, therefore, merely exemplary.

Referring to the drawings, FIG. 1 shows a perspective partial cut-away illustration of a turbine 10 (e.g., a gas or steam turbine) according to various embodiments of the invention. Turbine 10 includes a rotor 12 that includes a rotating shaft 14 and a plurality of axially spaced rotor wheels 18. A plurality of rotating buckets 20 (dynamic buckets) are mechanically coupled to each rotor wheel 18. More specifically, buckets 20 are arranged in rows that extend circumferentially around each rotor wheel 18. A static nozzle section 21 is shown including a plurality of stationary nozzles 22 circumferentially around shaft 14, and nozzles 22 are axially positioned between adjacent rows of buckets 20. Stationary nozzles 22 cooperate with buckets 20 to form a stage of turbine 10, and to define a portion of a flow path through turbine 10. As shown, static nozzle section 21 at least partially surrounds rotor 12 (shown in this cut-away view). It is understood that turbine 10 shown is a dual-flow turbine 10 that includes an axially centered inlet mouth which feeds two sets of turbine stages. It is understood that turbine 10 may be a single-flow turbine that includes a single inlet which feeds one set or turbine stages. It is understood that various teachings can be applied to axial turbines, e.g., axial inlet gas turbines that inlet a combustion gas from a first axial end and outlet that combustion gas to a second axial end after the gas has performed mechanical work on the turbine.

Returning to FIG. 1, in operation, gas 24 enters an inlet 26 of turbine 10 and is channeled through stationary nozzles 22. Nozzles 22 direct gas 24 against blades 20. Gas 24 passes through the remaining stages imparting a force on buckets 20 causing shaft 14 to rotate. At least one end of turbine 10 may extend axially away from rotating shaft 12 and may be attached to a load or machinery (not shown) such as, but not limited to, a generator, and/or another turbine.

In one embodiment, turbine 10 may include five stages. The five stages are referred to as L0, L1, L2, L3 and L4. Stage L4 is the first stage and is the smallest (in a radial direction) of the five stages. Stage L3 is the second stage and is the next stage in an axial direction. Stage L2 is the third stage and is shown in the middle of the five stages. Stage L1 is the fourth and next-to-last stage. Stage L0 is the last stage and is the largest (in a radial direction). It is to be understood that five stages are shown as one example only, and each turbine may have more or less than five stages. Also, as will be described herein, the teachings of the invention do not require a multiple stage turbine. In another embodiment, turbine 10 may comprise an aircraft engine used to produce thrust.

Turning to FIG. 2, a schematic three-dimensional depiction of a turbine bucket (or simply, bucket) 200 is shown according to various embodiments. Bucket 200 is a rotatable (dynamic) bucket which is part of a set of buckets circumferentially dispersed about a rotor shaft in a stage of a turbine (e.g., turbine 10). That is, during operation of a turbine (e.g., turbine 10), bucket 200 will rotate about axis A as a working fluid (e.g., gas or steam) is directed across the bucket's airfoil, initiating rotation of a rotor shaft (e.g., shaft 14). It is understood that bucket 200 is configured to couple (mechanically couple via fasteners, welds, slot/grooves, etc.) with a plurality of similar or distinct buckets (e.g., buckets 200 or other buckets) to form an set of buckets in a stage of the turbine.

Returning to FIG. 2, turbine bucket 200 can include an airfoil 202 having a suction side 204 (obstructed in this view), and a pressure side 206 opposing suction side 204. Bucket 200 can also include a leading edge 208 spanning between pressure side 206 and suction side 204, and a trailing edge 210 opposing leading edge 208 and spanning between pressure side 206 and suction side 204.

As shown, bucket 200 can also include a base 212 connected with airfoil 202. Base 212 can be connected with airfoil 202 along suction side 204, pressure side 206, trailing edge 210 and leading edge 208. In various embodiments, bucket 200 includes a fillet 214 proximate a first end 215 of airfoil 202, fillet 214 connecting airfoil 202 and base 212. Fillet 214 can include a weld or braze fillet, which may be formed via conventional MIG welding, TIG welding, brazing, etc. Fillet 214 can include such forms as integral to the investment casting process or definition. As is known in the art, base 212 is designed to fit into a mating slot in the turbine rotor shaft (e.g., shaft 14) and mate with adjacent base components of other buckets 200. The base 212 is designed to be located radially inboard of airfoil 202

As described herein, and in contrast to conventional turbine buckets, turbine bucket 200 can include a base 212 with a non-axisymmetric contour 218 proximate a junction 220 between base 212 and airfoil 202. That is, bucket 200 includes a base 212 with a contour 218 proximate junction 220 between base 212 and airfoil 202 that improves the flow area around airfoil 202 when compared with conventional buckets.

In various embodiments, contour 218 allows for more efficient fluid flow across airfoil 202 than conventional buckets, allowing for fewer heat-related failures, and improving the efficiency of fluid flow within a turbine utilizing such a bucket 200.

With reference to FIG. 1, in various embodiments, bucket 200 can include a first stage bucket (L4) or second stage bucket (L3). In particular embodiments, bucket 200 is a second stage bucket (L3), and the improved flow profile across airfoil 200 and base 212 interface allows that first stage bucket (L4) to withstand the high-heat gas entering turbine 10 at that first stage. In various embodiments, turbine 10 can include a set of buckets 200 in only first stage (L4) of turbine 10, or in only first stage (L4) and second stage (L3) of turbine 10.

According to various embodiments, non-axisymmetric contour 218 includes a first surface 222 along base 212 on suction side 204 of leading edge 208, and a second surface 224 along base 212 on pressure side 206 of leading edge 208. Second surface 224 and first surface 222 can have distinct slopes, e.g., distinct radial v. circumferential ratios. In various embodiments, first surface 222 has a distinct profile from second surface 224. In some cases, the distinct profile includes distinct base features (e.g., bump(s), trough(s), etc.) in first surface 222 as compared with second surface 224 (having its own endwall features (e.g., bump(s), trough(s), etc.). In some cases, second surface 224 has a substantially flat, or unsloped gradient, and first surface 222 has a gradient distinct from the gradient of the second surface, e.g., a gradient that is positive or negative, but not equal to zero.

According to various particular embodiments, first surface 222 has a first length L1 measured from a junction 228 of suction side 204 and leading edge 208 of airfoil 202 along base 212 to an outer edge 230 of base 212. In these embodiments, second surface 224 has a second length L2 measured from a junction 232 of pressure side 206 and leading edge 208 of airfoil 202 along base 212 to an inner edge 234 of base 212. In various embodiments, the first length L1 is distinct from the second length L2, and in particular embodiments, second length L2 is greater than first length L1.

Turning to FIG. 3, a radial contour map of a portion of bucket 200 (excluding the base 212) is shown according to various embodiments. As can be seen in this example radial contour map, the contour 218 (shown in two parts as a leading edge pressure side feature 218A and a leading edge suction side feature 218B) can aid in improving aerodynamic efficiency proximate leading edge 208 of bucket 200. The radial contour map also shows a passage trough 250 on suction side 204 of bucket 200.

With reference to FIG. 2 and FIG. 3, according to various particular embodiments, non-axisymmetric contour 218 includes at least one bump (thickened area) 260 and a passage trough 250 on suction side 204 of bucket 200. In particular embodiments, leading edge pressure side feature 218A can include at least one bump (thickened area) 260, and leading edge suction side feature 218B can include at least one bump (thickened area) 260. It is understood that according to various embodiments, bump (thickened area) 260 along the leading edge pressure side 218A can be thicker than bump 260 along leading edge suction side 218B (extending a greater distance toward the opposite base 212 from second surface 224 than bump 260 extends toward the opposite endwall from first surface 222).

In various particular embodiments, each bump (thickened area) 260 can have an apex at approximately 0-5 percent of axial chord length LA (along axis A) of endwall 212. In some particular cases, each thickened area 260 can have an approximately 0-10 percent pitch from the suction side 204.

In various particular embodiments, at least one bump 260 (within 218A) can have an apex at approximately 75% of the axial chord length from suction side 204 (+/−10%). In these cases, bump 260 can have an approximately 0-10% pitch as measured from suction side 204.

In various embodiments, passage trough 250 includes a depression having an apex at approximately 15-20% of the chord length of suction side 204 (+/−10%). In this case, the depression in pressure trough 250 can have a 20-25% pitch as measured from suction side 204.

It is understood that in various embodiments, other apex locations and pitches are possible, and those values given herein are merely illustrative of several of the many possible embodiments in accordance with the disclosure.

With reference to FIGS. 4 and 4A (and continuing reference to FIGS. 2-3), in various embodiments, airfoil 202 may have an airfoil shape at 5-15% of span S to fit airfoil 202 on a straight platform 246 of base 212. A straight platform 246 refers to a platform 246 having a suction side edge 240 and pressure side edge 242 that are aligned with an axis of dovetail 248. In various particular embodiments, bucket 200 may have an airfoil shape at 10% of span S to fit airfoil 202 on a straight platform 246 of base 212. In various particular embodiments, bucket 200 may have an airfoil shape near fillet 214 that includes a tucked high “C” region 244. The high “C” region refers to the bulge of suction side 204 of airfoil 202. A tucked high “C” region 244 refers to a region of suction side 204 having a reduced bulge. In various particular embodiments, tucked high “C” region 244 near fillet 214 may cause increased cantilever of airfoil 202 at 10-15% span S. In various particular embodiments, tucked high “C” region 244 near fillet 214 may increase the size of airfoil 202 that is able to fit on straight platform 246.

In various embodiments, an outermost tip 217 of airfoil 202 may have a reduced thickness to improve flex. The reduced thickness of outermost tip 217 of airfoil 202 may also improve blade vibrations, or 2-stripe behavior of airfoil 202. In various embodiments, a reduced thickness of outermost tip 217 of airfoil 202 may raise the natural frequency of bucket 200. Raising the natural frequency of bucket 200 may make bucket 200 less affected by vibrations of any upstream or neighboring nozzles, or other components of turbine 10. Further, raising the natural frequency of bucket 200 may reduce the risk of vibrations in bucket 200.

With reference to FIG. 4 (and continuing reference to FIGS. 2-3), a plurality of points 270-278 along span S, including root 215 and tip 217, can correspond to Z coordinate values of chord lines, and a cross section of airfoil 202 at each point can be described by a respective set of X and Y coordinates. For example, 100 points can be listed for each cross section 270-278, though it should be apparent that more or fewer points can be used for each cross section, and more or fewer cross sections can be used, as may be desired and/or appropriate. The X, Y, and Z coordinate values in TABLE I have been expressed in normalized or non-dimensionalized form in values of from 0 to 1, but it should be apparent that any or all of the coordinate values could instead be expressed in distance units so long as the proportions are maintained. To convert an X, Y or Z value of TABLE I to a respective X, Y or Z coordinate value in units of distance, such as inches or meters, the non-dimensional X, Y or Z value given in TABLE I can be multiplied by an airfoil height of airfoil 202 in such units of distance. By connecting the X and Y values with smooth continuing arcs, each profile cross section at each distance Z can be fixed, and the airfoil profiles of the various surface locations between the distances Z can be determined by smoothly connecting adjacent profile sections to one another, thus forming the airfoil profile.

The values in TABLE I are generated and shown to four decimal places for determining the profile of a nominal airfoil 202 at ambient, non-operating, or non-hot conditions, and do not take any coatings or fillets into account, though embodiments could account for other conditions, coatings, and/or fillets. To allow for typical manufacturing tolerances and/or coating thicknesses, ±values can be added to the values listed in TABLE I, particularly to the X and Y values therein. For example, a tolerance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define an airfoil profile envelope for a bucket airfoil design at cold or room temperature. In other words, a distance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define a range of variation between measured points on an actual airfoil surface and ideal positions of those points, particularly at a cold or room temperature, as embodied by the invention. The bucket airfoil design, as embodied by the invention, is robust to this range of variation without impairment of mechanical and aerodynamic functions. Likewise, the profile and/or design can be scaled up or down, such as geometrically, without impairment of operation, and such scaling can be facilitated by use of normalized coordinate values, i.e. multiplying the normalized values by a scaling factor, or a larger or smaller number of distance units than might have originally been used. For example, the values in TABLE I, particularly the X and Y values, could be multiplied by a scaling factor of 2, 0.5, or any other desired scaling factor. In various embodiments, the X, Y, and Z distances are scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil. Alternatively, the values could be multiplied by a larger or smaller desired span. As referenced herein, the origin of the X, Y, Z coordinate system is the root of the leading edge (junction 232) of airfoil 202.


TABLE 1
Non-Dimensionalized (X Y Z/Span Height)
N
Location
X
Y
Z
1
Suction-Side
−0.00765
0.01831
0.00000
2
Suction-Side
−0.00755
0.02851
0.00000
3
Suction-Side
−0.00620
0.03863
0.00000
4
Suction-Side
−0.00570
0.00831
0.00000
5
Suction-Side
−0.00399
0.04860
0.00000
6
Suction-Side
−0.00112
0.05840
0.00000
7
Suction-Side
0.00000
0.00000
0.00000
8
Suction-Side
0.00230
0.06803
0.00000
9
Suction-Side
0.00618
0.07749
0.00000
10
Suction-Side
0.01048
0.08676
0.00000
11
Suction-Side
0.01512
0.09584
0.00000
12
Suction-Side
0.02012
0.10475
0.00000
13
Suction-Side
0.02544
0.11348
0.00000
14
Suction-Side
0.03107
0.12200
0.00000
15
Suction-Side
0.03698
0.13034
0.00000
16
Suction-Side
0.04316
0.13846
0.00000
17
Suction-Side
0.04963
0.14636
0.00000
18
Suction-Side
0.05636
0.15404
0.00000
19
Suction-Side
0.06335
0.16149
0.00000
20
Suction-Side
0.07059
0.16871
0.00000
21
Suction-Side
0.07808
0.17565
0.00000
22
Suction-Side
0.08581
0.18232
0.00000
23
Suction-Side
0.09377
0.18871
0.00000
24
Suction-Side
0.10197
0.19481
0.00000
25
Suction-Side
0.11039
0.20061
0.00000
26
Suction-Side
0.11901
0.20607
0.00000
27
Suction-Side
0.12784
0.21121
0.00000
28
Suction-Side
0.13687
0.21599
0.00000
29
Suction-Side
0.14608
0.22041
0.00000
30
Suction-Side
0.15546
0.22444
0.00000
31
Suction-Side
0.16500
0.22810
0.00000
32
Suction-Side
0.17469
0.23134
0.00000
33
Suction-Side
0.18451
0.23417
0.00000
34
Suction-Side
0.19444
0.23658
0.00000
35
Suction-Side
0.20445
0.23855
0.00000
36
Suction-Side
0.21455
0.24007
0.00000
37
Suction-Side
0.22471
0.24114
0.00000
38
Suction-Side
0.23490
0.24175
0.00000
39
Suction-Side
0.24512
0.24189
0.00000
40
Suction-Side
0.25533
0.24156
0.00000
41
Suction-Side
0.26551
0.24076
0.00000
42
Suction-Side
0.27564
0.23949
0.00000
43
Suction-Side
0.28571
0.23774
0.00000
44
Suction-Side
0.29569
0.23553
0.00000
45
Suction-Side
0.30554
0.23286
0.00000
46
Suction-Side
0.31526
0.22973
0.00000
47
Suction-Side
0.32483
0.22616
0.00000
48
Suction-Side
0.33423
0.22214
0.00000
49
Suction-Side
0.34343
0.21772
0.00000
50
Suction-Side
0.35244
0.21290
0.00000
51
Suction-Side
0.36122
0.20769
0.00000
52
Suction-Side
0.36979
0.20213
0.00000
53
Suction-Side
0.37812
0.19621
0.00000
54
Suction-Side
0.38622
0.18999
0.00000
55
Suction-Side
0.39407
0.18346
0.00000
56
Suction-Side
0.40168
0.17664
0.00000
57
Suction-Side
0.40907
0.16960
0.00000
58
Suction-Side
0.41622
0.16229
0.00000
59
Suction-Side
0.42315
0.15480
0.00000
60
Suction-Side
0.42987
0.14710
0.00000
61
Suction-Side
0.43638
0.13923
0.00000
62
Suction-Side
0.44270
0.13120
0.00000
63
Suction-Side
0.44882
0.12302
0.00000
64
Suction-Side
0.45476
0.11472
0.00000
65
Suction-Side
0.46055
0.10629
0.00000
66
Suction-Side
0.46617
0.09776
0.00000
67
Suction-Side
0.47164
0.08914
0.00000
68
Suction-Side
0.47698
0.08043
0.00000
69
Suction-Side
0.48219
0.07165
0.00000
70
Suction-Side
0.48728
0.06279
0.00000
71
Suction-Side
0.49226
0.05387
0.00000
72
Suction-Side
0.49715
0.04490
0.00000
73
Suction-Side
0.50193
0.03587
0.00000
74
Suction-Side
0.50664
0.02680
0.00000
75
Suction-Side
0.51126
0.01771
0.00000
76
Suction-Side
0.51581
0.00855
0.00000
77
Suction-Side
0.52028
−0.00063
0.00000
78
Suction-Side
0.52469
−0.00984
0.00000
79
Suction-Side
0.52904
−0.01908
0.00000
80
Suction-Side
0.53333
−0.02837
0.00000
81
Suction-Side
0.53756
−0.03765
0.00000
82
Suction-Side
0.54175
−0.04698
0.00000
83
Suction-Side
0.54591
−0.05631
0.00000
84
Suction-Side
0.55004
−0.06565
0.00000
85
Suction-Side
0.55415
−0.07499
0.00000
86
Suction-Side
0.55825
−0.08436
0.00000
87
Suction-Side
0.56233
−0.09372
0.00000
88
Suction-Side
0.56639
−0.10310
0.00000
89
Suction-Side
0.57042
−0.11249
0.00000
90
Suction-Side
0.57442
−0.12187
0.00000
91
Suction-Side
0.57840
−0.13128
0.00000
92
Suction-Side
0.58234
−0.14071
0.00000
93
Suction-Side
0.58626
−0.15014
0.00000
94
Suction-Side
0.59014
−0.15959
0.00000
95
Suction-Side
0.59282
−0.19188
0.00000
96
Suction-Side
0.59397
−0.16907
0.00000
97
Suction-Side
0.59590
−0.18950
0.00000
98
Suction-Side
0.59776
−0.17855
0.00000
99
Suction-Side
0.59796
−0.18620
0.00000
100
Suction-Side
0.59859
−0.18235
0.00000
101
Pressure-Side
0.00000
0.00000
0.00000
102
Pressure-Side
0.00550
−0.00403
0.00000
103
Pressure-Side
0.01136
−0.00748
0.00000
104
Pressure-Side
0.01755
−0.01033
0.00000
105
Pressure-Side
0.02396
−0.01263
0.00000
106
Pressure-Side
0.03055
−0.01439
0.00000
107
Pressure-Side
0.03724
−0.01571
0.00000
108
Pressure-Side
0.04398
−0.01666
0.00000
109
Pressure-Side
0.05077
−0.01726
0.00000
110
Pressure-Side
0.05757
−0.01759
0.00000
111
Pressure-Side
0.06439
−0.01771
0.00000
112
Pressure-Side
0.07120
−0.01762
0.00000
113
Pressure-Side
0.07802
−0.01739
0.00000
114
Pressure-Side
0.08482
−0.01705
0.00000
115
Pressure-Side
0.09162
−0.01662
0.00000
116
Pressure-Side
0.09841
−0.01609
0.00000
117
Pressure-Side
0.10520
−0.01551
0.00000
118
Pressure-Side
0.11198
−0.01488
0.00000
119
Pressure-Side
0.11877
−0.01422
0.00000
120
Pressure-Side
0.12556
−0.01355
0.00000
121
Pressure-Side
0.13233
−0.01287
0.00000
122
Pressure-Side
0.13912
−0.01218
0.00000
123
Pressure-Side
0.14589
−0.01151
0.00000
124
Pressure-Side
0.15268
−0.01085
0.00000
125
Pressure-Side
0.15947
−0.01020
0.00000
126
Pressure-Side
0.16625
−0.00959
0.00000
127
Pressure-Side
0.17304
−0.00901
0.00000
128
Pressure-Side
0.17983
−0.00848
0.00000
129
Pressure-Side
0.18663
−0.00798
0.00000
130
Pressure-Side
0.19343
−0.00753
0.00000
131
Pressure-Side
0.20023
−0.00713
0.00000
132
Pressure-Side
0.20703
−0.00680
0.00000
133
Pressure-Side
0.21385
−0.00651
0.00000
134
Pressure-Side
0.22065
−0.00630
0.00000
135
Pressure-Side
0.22747
−0.00614
0.00000
136
Pressure-Side
0.23428
−0.00607
0.00000
137
Pressure-Side
0.24110
−0.00606
0.00000
138
Pressure-Side
0.24792
−0.00613
0.00000
139
Pressure-Side
0.25473
−0.00629
0.00000
140
Pressure-Side
0.26153
−0.00653
0.00000
141
Pressure-Side
0.26834
−0.00686
0.00000
142
Pressure-Side
0.27514
−0.00728
0.00000
143
Pressure-Side
0.28194
−0.00778
0.00000
144
Pressure-Side
0.28873
−0.00838
0.00000
145
Pressure-Side
0.29550
−0.00908
0.00000
146
Pressure-Side
0.30227
−0.00989
0.00000
147
Pressure-Side
0.30903
−0.01079
0.00000
148
Pressure-Side
0.31576
−0.01181
0.00000
149
Pressure-Side
0.32249
−0.01293
0.00000
150
Pressure-Side
0.32919
−0.01416
0.00000
151
Pressure-Side
0.33586
−0.01550
0.00000
152
Pressure-Side
0.34252
−0.01696
0.00000
153
Pressure-Side
0.34917
−0.01853
0.00000
154
Pressure-Side
0.35577
−0.02022
0.00000
155
Pressure-Side
0.36234
−0.02201
0.00000
156
Pressure-Side
0.36887
−0.02393
0.00000
157
Pressure-Side
0.37537
−0.02599
0.00000
158
Pressure-Side
0.38184
−0.02814
0.00000
159
Pressure-Side
0.38825
−0.03042
0.00000
160
Pressure-Side
0.39464
−0.03282
0.00000
161
Pressure-Side
0.40097
−0.03534
0.00000
162
Pressure-Side
0.40725
−0.03797
0.00000
163
Pressure-Side
0.41349
−0.04072
0.00000
164
Pressure-Side
0.41966
−0.04359
0.00000
165
Pressure-Side
0.42579
−0.04658
0.00000
166
Pressure-Side
0.43186
−0.04968
0.00000
167
Pressure-Side
0.43787
−0.05289
0.00000
168
Pressure-Side
0.44381
−0.05622
0.00000
169
Pressure-Side
0.44968
−0.05968
0.00000
170
Pressure-Side
0.45550
−0.06324
0.00000
171
Pressure-Side
0.46123
−0.06693
0.00000
172
Pressure-Side
0.46690
−0.07071
0.00000
173
Pressure-Side
0.47248
−0.07462
0.00000
174
Pressure-Side
0.47800
−0.07862
0.00000
175
Pressure-Side
0.48342
−0.08274
0.00000
176
Pressure-Side
0.48877
−0.08696
0.00000
177
Pressure-Side
0.49405
−0.09128
0.00000
178
Pressure-Side
0.49925
−0.09568
0.00000
179
Pressure-Side
0.50436
−0.10019
0.00000
180
Pressure-Side
0.50939
−0.10478
0.00000
181
Pressure-Side
0.51434
−0.10947
0.00000
182
Pressure-Side
0.51922
−0.11424
0.00000
183
Pressure-Side
0.52401
−0.11907
0.00000
184
Pressure-Side
0.52872
−0.12399
0.00000
185
Pressure-Side
0.53334
−0.12900
0.00000
186
Pressure-Side
0.53789
−0.13408
0.00000
187
Pressure-Side
0.54235
−0.13923
0.00000
188
Pressure-Side
0.54673
−0.14446
0.00000
189
Pressure-Side
0.55103
−0.14974
0.00000
190
Pressure-Side
0.55525
−0.15509
0.00000
191
Pressure-Side
0.55940
−0.16050
0.00000
192
Pressure-Side
0.56346
−0.16597
0.00000
193
Pressure-Side
0.56746
−0.17149
0.00000
194
Pressure-Side
0.57138
−0.17706
0.00000
195
Pressure-Side
0.57524
−0.18267
0.00000
196
Pressure-Side
0.57903
−0.18834
0.00000
197
Pressure-Side
0.57903
−0.18834
0.00000
198
Pressure-Side
0.58168
−0.19121
0.00000
199
Pressure-Side
0.58521
−0.19289
0.00000
200
Pressure-Side
0.58910
−0.19307
0.00000
1
Suction-Side
−0.00960
0.04764
0.10000
2
Suction-Side
−0.00894
0.05817
0.10000
3
Suction-Side
−0.00881
0.03712
0.10000
4
Suction-Side
−0.00725
0.06859
0.10000
5
Suction-Side
−0.00575
0.02705
0.10000
6
Suction-Side
−0.00476
0.07885
0.10000
7
Suction-Side
−0.00166
0.08894
0.10000
8
Suction-Side
0.00076
0.01886
0.10000
9
Suction-Side
0.00197
0.09885
0.10000
10
Suction-Side
0.00607
0.10858
0.10000
11
Suction-Side
0.01058
0.11812
0.10000
12
Suction-Side
0.01547
0.12748
0.10000
13
Suction-Side
0.02072
0.13665
0.10000
14
Suction-Side
0.02629
0.14562
0.10000
15
Suction-Side
0.03217
0.15439
0.10000
16
Suction-Side
0.03837
0.16294
0.10000
17
Suction-Side
0.04484
0.17128
0.10000
18
Suction-Side
0.05162
0.17937
0.10000
19
Suction-Side
0.05866
0.18723
0.10000
20
Suction-Side
0.06599
0.19484
0.10000
21
Suction-Side
0.07358
0.20218
0.10000
22
Suction-Side
0.08143
0.20924
0.10000
23
Suction-Side
0.08954
0.21600
0.10000
24
Suction-Side
0.09791
0.22245
0.10000
25
Suction-Side
0.10652
0.22856
0.10000
26
Suction-Side
0.11536
0.23433
0.10000
27
Suction-Side
0.12444
0.23972
0.10000
28
Suction-Side
0.13374
0.24472
0.10000
29
Suction-Side
0.14324
0.24931
0.10000
30
Suction-Side
0.15295
0.25347
0.10000
31
Suction-Side
0.16284
0.25717
0.10000
32
Suction-Side
0.17288
0.26041
0.10000
33
Suction-Side
0.18308
0.26315
0.10000
34
Suction-Side
0.19340
0.26541
0.10000
35
Suction-Side
0.20381
0.26712
0.10000
36
Suction-Side
0.21431
0.26831
0.10000
37
Suction-Side
0.22484
0.26897
0.10000
38
Suction-Side
0.23540
0.26907
0.10000
39
Suction-Side
0.24595
0.26862
0.10000
40
Suction-Side
0.25647
0.26766
0.10000
41
Suction-Side
0.26691
0.26614
0.10000
42
Suction-Side
0.27727
0.26410
0.10000
43
Suction-Side
0.28752
0.26155
0.10000
44
Suction-Side
0.29762
0.25851
0.10000
45
Suction-Side
0.30757
0.25498
0.10000
46
Suction-Side
0.31735
0.25099
0.10000
47
Suction-Side
0.32692
0.24654
0.10000
48
Suction-Side
0.33631
0.24169
0.10000
49
Suction-Side
0.34546
0.23644
0.10000
50
Suction-Side
0.35440
0.23081
0.10000
51
Suction-Side
0.36310
0.22483
0.10000
52
Suction-Side
0.37157
0.21851
0.10000
53
Suction-Side
0.37980
0.21190
0.10000
54
Suction-Side
0.38778
0.20500
0.10000
55
Suction-Side
0.39554
0.19784
0.10000
56
Suction-Side
0.40306
0.19043
0.10000
57
Suction-Side
0.41035
0.18280
0.10000
58
Suction-Side
0.41743
0.17495
0.10000
59
Suction-Side
0.42429
0.16691
0.10000
60
Suction-Side
0.43093
0.15872
0.10000
61
Suction-Side
0.43737
0.15035
0.10000
62
Suction-Side
0.44363
0.14184
0.10000
63
Suction-Side
0.44970
0.13321
0.10000
64
Suction-Side
0.45560
0.12445
0.10000
65
Suction-Side
0.46134
0.11558
0.10000
66
Suction-Side
0.46692
0.10662
0.10000
67
Suction-Side
0.47236
0.09756
0.10000
68
Suction-Side
0.47765
0.08844
0.10000
69
Suction-Side
0.48283
0.07922
0.10000
70
Suction-Side
0.48788
0.06995
0.10000
71
Suction-Side
0.49282
0.06063
0.10000
72
Suction-Side
0.49765
0.05124
0.10000
73
Suction-Side
0.50239
0.04180
0.10000
74
Suction-Side
0.50705
0.03233
0.10000
75
Suction-Side
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Pressure-Side
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180
Pressure-Side
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Pressure-Side
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182
Pressure-Side
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183
Pressure-Side
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184
Pressure-Side
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185
Pressure-Side
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186
Pressure-Side
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187
Pressure-Side
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188
Pressure-Side
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189
Pressure-Side
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190
Pressure-Side
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Pressure-Side
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192
Pressure-Side
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193
Pressure-Side
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194
Pressure-Side
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195
Pressure-Side
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196
Pressure-Side
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197
Pressure-Side
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198
Pressure-Side
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199
Pressure-Side
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200
Pressure-Side
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Suction-Side
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Suction-Side
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3
Suction-Side
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4
Suction-Side
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5
Suction-Side
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6
Suction-Side
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7
Suction-Side
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8
Suction-Side
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9
Suction-Side
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10
Suction-Side
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11
Suction-Side
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12
Suction-Side
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13
Suction-Side
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14
Suction-Side
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15
Suction-Side
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16
Suction-Side
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17
Suction-Side
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18
Suction-Side
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Suction-Side
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20
Suction-Side
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21
Suction-Side
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22
Suction-Side
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23
Suction-Side
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24
Suction-Side
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25
Suction-Side
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26
Suction-Side
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27
Suction-Side
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28
Suction-Side
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29
Suction-Side
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30
Suction-Side
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31
Suction-Side
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32
Suction-Side
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33
Suction-Side
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34
Suction-Side
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35
Suction-Side
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36
Suction-Side
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37
Suction-Side
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38
Suction-Side
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39
Suction-Side
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40
Suction-Side
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41
Suction-Side
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42
Suction-Side
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43
Suction-Side
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44
Suction-Side
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45
Suction-Side
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46
Suction-Side
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47
Suction-Side
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48
Suction-Side
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49
Suction-Side
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50
Suction-Side
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51
Suction-Side
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52
Suction-Side
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53
Suction-Side
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54
Suction-Side
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55
Suction-Side
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56
Suction-Side
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57
Suction-Side
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58
Suction-Side
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59
Suction-Side
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60
Suction-Side
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61
Suction-Side
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62
Suction-Side
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63
Suction-Side
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Suction-Side
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65
Suction-Side
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66
Suction-Side
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67
Suction-Side
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68
Suction-Side
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69
Suction-Side
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70
Suction-Side
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71
Suction-Side
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72
Suction-Side
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73
Suction-Side
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74
Suction-Side
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75
Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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80
Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
0.51338
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180
Pressure-Side
0.51741
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Pressure-Side
0.52140
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Pressure-Side
0.52536
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Pressure-Side
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Pressure-Side
0.53314
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185
Pressure-Side
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Pressure-Side
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Pressure-Side
0.54456
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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Pressure-Side
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199
Pressure-Side
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200
Pressure-Side
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1
Suction-Side
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2
Suction-Side
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3
Suction-Side
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4
Suction-Side
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5
Suction-Side
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6
Suction-Side
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7
Suction-Side
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8
Suction-Side
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Suction-Side
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10
Suction-Side
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11
Suction-Side
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12
Suction-Side
0.03285
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13
Suction-Side
0.03811
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14
Suction-Side
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15
Suction-Side
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16
Suction-Side
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17
Suction-Side
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Suction-Side
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19
Suction-Side
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20
Suction-Side
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21
Suction-Side
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22
Suction-Side
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23
Suction-Side
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24
Suction-Side
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25
Suction-Side
0.12714
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26
Suction-Side
0.13651
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27
Suction-Side
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Suction-Side
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29
Suction-Side
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30
Suction-Side
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31
Suction-Side
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Suction-Side
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33
Suction-Side
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34
Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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39
Suction-Side
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40
Suction-Side
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41
Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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54
Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
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Suction-Side
0.50760
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Suction-Side
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Suction-Side
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Suction-Side
0.52017
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Suction-Side
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78
Suction-Side
0.52822
−0.00821
0.40001
79
Suction-Side
0.53216
−0.01828
0.40001
80
Suction-Side
0.53607
−0.02837
0.40001
81
Suction-Side
0.53993
−0.03849
0.40001
82
Suction-Side
0.54376
−0.04860
0.40001
83
Suction-Side
0.54756
−0.05872
0.40001
84
Suction-Side
0.55135
−0.06885
0.40001
85
Suction-Side
0.55512
−0.07899
0.40001
86
Suction-Side
0.55891
−0.08912
0.40001
87
Suction-Side
0.56269
−0.09926
0.40001
88
Suction-Side
0.56645
−0.10940
0.40001
89
Suction-Side
0.57020
−0.11955
0.40001
90
Suction-Side
0.57394
−0.12969
0.40001
91
Suction-Side
0.57765
−0.13985
0.40001
92
Suction-Side
0.58134
−0.15002
0.40001
93
Suction-Side
0.58501
−0.16020
0.40001
94
Suction-Side
0.58866
−0.17039
0.40001
95
Suction-Side
0.59035
−0.20352
0.40001
96
Suction-Side
0.59227
−0.18057
0.40001
97
Suction-Side
0.59352
−0.20139
0.40001
98
Suction-Side
0.59572
−0.19828
0.40001
99
Suction-Side
0.59586
−0.19079
0.40001
100
Suction-Side
0.59652
−0.19455
0.40001
101
Pressure-Side
0.02142
0.07294
0.40001
102
Pressure-Side
0.02791
0.06938
0.40001
103
Pressure-Side
0.03488
0.06691
0.40001
104
Pressure-Side
0.04216
0.06561
0.40001
105
Pressure-Side
0.04956
0.06538
0.40001
106
Pressure-Side
0.05694
0.06598
0.40001
107
Pressure-Side
0.06424
0.06721
0.40001
108
Pressure-Side
0.07145
0.06889
0.40001
109
Pressure-Side
0.07859
0.07089
0.40001
110
Pressure-Side
0.08565
0.07308
0.40001
111
Pressure-Side
0.09268
0.07541
0.40001
112
Pressure-Side
0.09969
0.07782
0.40001
113
Pressure-Side
0.10669
0.08026
0.40001
114
Pressure-Side
0.11368
0.08271
0.40001
115
Pressure-Side
0.12068
0.08512
0.40001
116
Pressure-Side
0.12770
0.08747
0.40001
117
Pressure-Side
0.13474
0.08977
0.40001
118
Pressure-Side
0.14182
0.09197
0.40001
119
Pressure-Side
0.14892
0.09405
0.40001
120
Pressure-Side
0.15606
0.09600
0.40001
121
Pressure-Side
0.16324
0.09782
0.40001
122
Pressure-Side
0.17046
0.09948
0.40001
123
Pressure-Side
0.17772
0.10099
0.40001
124
Pressure-Side
0.18499
0.10234
0.40001
125
Pressure-Side
0.19231
0.10349
0.40001
126
Pressure-Side
0.19966
0.10446
0.40001
127
Pressure-Side
0.20702
0.10522
0.40001
128
Pressure-Side
0.21441
0.10580
0.40001
129
Pressure-Side
0.22180
0.10617
0.40001
130
Pressure-Side
0.22920
0.10633
0.40001
131
Pressure-Side
0.23661
0.10627
0.40001
132
Pressure-Side
0.24401
0.10600
0.40001
133
Pressure-Side
0.25140
0.10551
0.40001
134
Pressure-Side
0.25878
0.10481
0.40001
135
Pressure-Side
0.26613
0.10389
0.40001
136
Pressure-Side
0.27344
0.10274
0.40001
137
Pressure-Side
0.28072
0.10139
0.40001
138
Pressure-Side
0.28797
0.09983
0.40001
139
Pressure-Side
0.29515
0.09806
0.40001
140
Pressure-Side
0.30230
0.09608
0.40001
141
Pressure-Side
0.30937
0.09392
0.40001
142
Pressure-Side
0.31639
0.09154
0.40001
143
Pressure-Side
0.32334
0.08897
0.40001
144
Pressure-Side
0.33021
0.08621
0.40001
145
Pressure-Side
0.33701
0.08328
0.40001
146
Pressure-Side
0.34373
0.08016
0.40001
147
Pressure-Side
0.35036
0.07687
0.40001
148
Pressure-Side
0.35691
0.07341
0.40001
149
Pressure-Side
0.36337
0.06978
0.40001
150
Pressure-Side
0.36973
0.06601
0.40001
151
Pressure-Side
0.37601
0.06206
0.40001
152
Pressure-Side
0.38218
0.05799
0.40001
153
Pressure-Side
0.38827
0.05375
0.40001
154
Pressure-Side
0.39425
0.04939
0.40001
155
Pressure-Side
0.40013
0.04490
0.40001
156
Pressure-Side
0.40593
0.04028
0.40001
157
Pressure-Side
0.41161
0.03553
0.40001
158
Pressure-Side
0.41721
0.03068
0.40001
159
Pressure-Side
0.42271
0.02571
0.40001
160
Pressure-Side
0.42810
0.02063
0.40001
161
Pressure-Side
0.43340
0.01547
0.40001
162
Pressure-Side
0.43861
0.01020
0.40001
163
Pressure-Side
0.44373
0.00485
0.40001
164
Pressure-Side
0.44877
−0.00059
0.40001
165
Pressure-Side
0.45370
−0.00610
0.40001
166
Pressure-Side
0.45855
−0.01169
0.40001
167
Pressure-Side
0.46333
−0.01736
0.40001
168
Pressure-Side
0.46801
−0.02310
0.40001
169
Pressure-Side
0.47261
−0.02890
0.40001
170
Pressure-Side
0.47713
−0.03477
0.40001
171
Pressure-Side
0.48158
−0.04068
0.40001
172
Pressure-Side
0.48596
−0.04666
0.40001
173
Pressure-Side
0.49026
−0.05269
0.40001
174
Pressure-Side
0.49450
−0.05878
0.40001
175
Pressure-Side
0.49866
−0.06489
0.40001
176
Pressure-Side
0.50278
−0.07106
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177
Pressure-Side
0.50682
−0.07726
0.40001
178
Pressure-Side
0.51081
−0.08349
0.40001
179
Pressure-Side
0.51476
−0.08976
0.40001
180
Pressure-Side
0.51866
−0.09606
0.40001
181
Pressure-Side
0.52252
−0.10238
0.40001
182
Pressure-Side
0.52634
−0.10873
0.40001
183
Pressure-Side
0.53011
−0.11510
0.40001
184
Pressure-Side
0.53387
−0.12148
0.40001
185
Pressure-Side
0.53759
−0.12788
0.40001
186
Pressure-Side
0.54129
−0.13430
0.40001
187
Pressure-Side
0.54495
−0.14074
0.40001
188
Pressure-Side
0.54861
−0.14718
0.40001
189
Pressure-Side
0.55224
−0.15364
0.40001
190
Pressure-Side
0.55584
−0.16010
0.40001
191
Pressure-Side
0.55944
−0.16658
0.40001
192
Pressure-Side
0.56302
−0.17307
0.40001
193
Pressure-Side
0.56657
−0.17955
0.40001
194
Pressure-Side
0.57013
−0.18606
0.40001
195
Pressure-Side
0.57368
−0.19256
0.40001
196
Pressure-Side
0.57722
−0.19906
0.40001
197
Pressure-Side
0.57957
−0.20207
0.40001
198
Pressure-Side
0.58286
−0.20398
0.40001
199
Pressure-Side
0.58665
−0.20445
0.40001
200
Pressure-Side
0.59035
−0.20352
0.40001
1
Suction-Side
0.01865
0.12151
0.50001
2
Suction-Side
0.01904
0.13220
0.50001
3
Suction-Side
0.01987
0.11089
0.50001
4
Suction-Side
0.02058
0.14281
0.50001
5
Suction-Side
0.02296
0.15324
0.50001
6
Suction-Side
0.02355
0.10088
0.50001
7
Suction-Side
0.02604
0.16348
0.50001
8
Suction-Side
0.02972
0.17354
0.50001
9
Suction-Side
0.03078
0.09311
0.50001
10
Suction-Side
0.03391
0.18340
0.50001
11
Suction-Side
0.03856
0.19304
0.50001
12
Suction-Side
0.04364
0.20247
0.50001
13
Suction-Side
0.04910
0.21167
0.50001
14
Suction-Side
0.05494
0.22065
0.50001
15
Suction-Side
0.06116
0.22938
0.50001
16
Suction-Side
0.06770
0.23784
0.50001
17
Suction-Side
0.07459
0.24605
0.50001
18
Suction-Side
0.08179
0.25396
0.50001
19
Suction-Side
0.08933
0.26158
0.50001
20
Suction-Side
0.09717
0.26885
0.50001
21
Suction-Side
0.10533
0.27580
0.50001
22
Suction-Side
0.11379
0.28235
0.50001
23
Suction-Side
0.12254
0.28852
0.50001
24
Suction-Side
0.13158
0.29426
0.50001
25
Suction-Side
0.14090
0.29953
0.50001
26
Suction-Side
0.15048
0.30432
0.50001
27
Suction-Side
0.16030
0.30859
0.50001
28
Suction-Side
0.17034
0.31230
0.50001
29
Suction-Side
0.18057
0.31544
0.50001
30
Suction-Side
0.19098
0.31797
0.50001
31
Suction-Side
0.20152
0.31986
0.50001
32
Suction-Side
0.21216
0.32111
0.50001
33
Suction-Side
0.22285
0.32170
0.50001
34
Suction-Side
0.23355
0.32161
0.50001
35
Suction-Side
0.24423
0.32088
0.50001
36
Suction-Side
0.25485
0.31948
0.50001
37
Suction-Side
0.26535
0.31745
0.50001
38
Suction-Side
0.27573
0.31481
0.50001
39
Suction-Side
0.28594
0.31157
0.50001
40
Suction-Side
0.29596
0.30780
0.50001
41
Suction-Side
0.30576
0.30349
0.50001
42
Suction-Side
0.31533
0.29870
0.50001
43
Suction-Side
0.32467
0.29345
0.50001
44
Suction-Side
0.33375
0.28779
0.50001
45
Suction-Side
0.34259
0.28174
0.50001
46
Suction-Side
0.35117
0.27534
0.50001
47
Suction-Side
0.35951
0.26862
0.50001
48
Suction-Side
0.36760
0.26161
0.50001
49
Suction-Side
0.37544
0.25432
0.50001
50
Suction-Side
0.38304
0.24678
0.50001
51
Suction-Side
0.39042
0.23902
0.50001
52
Suction-Side
0.39758
0.23104
0.50001
53
Suction-Side
0.40451
0.22289
0.50001
54
Suction-Side
0.41124
0.21455
0.50001
55
Suction-Side
0.41777
0.20607
0.50001
56
Suction-Side
0.42410
0.19743
0.50001
57
Suction-Side
0.43025
0.18867
0.50001
58
Suction-Side
0.43622
0.17978
0.50001
59
Suction-Side
0.44204
0.17079
0.50001
60
Suction-Side
0.44767
0.16169
0.50001
61
Suction-Side
0.45316
0.15249
0.50001
62
Suction-Side
0.45849
0.14321
0.50001
63
Suction-Side
0.46370
0.13385
0.50001
64
Suction-Side
0.46877
0.12442
0.50001
65
Suction-Side
0.47372
0.11492
0.50001
66
Suction-Side
0.47854
0.10537
0.50001
67
Suction-Side
0.48325
0.09574
0.50001
68
Suction-Side
0.48785
0.08608
0.50001
69
Suction-Side
0.49236
0.07637
0.50001
70
Suction-Side
0.49678
0.06661
0.50001
71
Suction-Side
0.50110
0.05681
0.50001
72
Suction-Side
0.50533
0.04698
0.50001
73
Suction-Side
0.50951
0.03711
0.50001
74
Suction-Side
0.51360
0.02722
0.50001
75
Suction-Side
0.51763
0.01731
0.50001
76
Suction-Side
0.52160
0.00736
0.50001
77
Suction-Side
0.52552
−0.00261
0.50001
78
Suction-Side
0.52938
−0.01260
0.50001
79
Suction-Side
0.53318
−0.02260
0.50001
80
Suction-Side
0.53694
−0.03263
0.50001
81
Suction-Side
0.54067
−0.04268
0.50001
82
Suction-Side
0.54438
−0.05272
0.50001
83
Suction-Side
0.54805
−0.06278
0.50001
84
Suction-Side
0.55172
−0.07284
0.50001
85
Suction-Side
0.55538
−0.08290
0.50001
86
Suction-Side
0.55904
−0.09296
0.50001
87
Suction-Side
0.56270
−0.10303
0.50001
88
Suction-Side
0.56636
−0.11309
0.50001
89
Suction-Side
0.57000
−0.12316
0.50001
90
Suction-Side
0.57363
−0.13323
0.50001
91
Suction-Side
0.57725
−0.14331
0.50001
92
Suction-Side
0.58084
−0.15340
0.50001
93
Suction-Side
0.58441
−0.16350
0.50001
94
Suction-Side
0.58796
−0.17360
0.50001
95
Suction-Side
0.58952
−0.20626
0.50001
96
Suction-Side
0.59149
−0.18370
0.50001
97
Suction-Side
0.59265
−0.20419
0.50001
98
Suction-Side
0.59481
−0.20117
0.50001
99
Suction-Side
0.59499
−0.19383
0.50001
100
Suction-Side
0.59562
−0.19752
0.50001
101
Pressure-Side
0.03078
0.09311
0.50001
102
Pressure-Side
0.03724
0.08957
0.50001
103
Pressure-Side
0.04420
0.08710
0.50001
104
Pressure-Side
0.05144
0.08574
0.50001
105
Pressure-Side
0.05882
0.08538
0.50001
106
Pressure-Side
0.06619
0.08581
0.50001
107
Pressure-Side
0.07350
0.08683
0.50001
108
Pressure-Side
0.08074
0.08828
0.50001
109
Pressure-Side
0.08792
0.09003
0.50001
110
Pressure-Side
0.09504
0.09198
0.50001
111
Pressure-Side
0.10213
0.09408
0.50001
112
Pressure-Side
0.10919
0.09623
0.50001
113
Pressure-Side
0.11623
0.09844
0.50001
114
Pressure-Side
0.12329
0.10062
0.50001
115
Pressure-Side
0.13035
0.10279
0.50001
116
Pressure-Side
0.13742
0.10488
0.50001
117
Pressure-Side
0.14453
0.10690
0.50001
118
Pressure-Side
0.15166
0.10883
0.50001
119
Pressure-Side
0.15882
0.11063
0.50001
120
Pressure-Side
0.16602
0.11228
0.50001
121
Pressure-Side
0.17324
0.11379
0.50001
122
Pressure-Side
0.18052
0.11514
0.50001
123
Pressure-Side
0.18781
0.11630
0.50001
124
Pressure-Side
0.19512
0.11728
0.50001
125
Pressure-Side
0.20246
0.11807
0.50001
126
Pressure-Side
0.20983
0.11864
0.50001
127
Pressure-Side
0.21721
0.11901
0.50001
128
Pressure-Side
0.22458
0.11916
0.50001
129
Pressure-Side
0.23197
0.11909
0.50001
130
Pressure-Side
0.23935
0.11878
0.50001
131
Pressure-Side
0.24671
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0.50001
132
Pressure-Side
0.25406
0.11749
0.50001
133
Pressure-Side
0.26138
0.11650
0.50001
134
Pressure-Side
0.26867
0.11530
0.50001
135
Pressure-Side
0.27590
0.11385
0.50001
136
Pressure-Side
0.28310
0.11220
0.50001
137
Pressure-Side
0.29023
0.11030
0.50001
138
Pressure-Side
0.29732
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0.50001
139
Pressure-Side
0.30434
0.10590
0.50001
140
Pressure-Side
0.31128
0.10339
0.50001
141
Pressure-Side
0.31814
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0.50001
142
Pressure-Side
0.32494
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0.50001
143
Pressure-Side
0.33164
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0.50001
144
Pressure-Side
0.33827
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0.50001
145
Pressure-Side
0.34482
0.08801
0.50001
146
Pressure-Side
0.35126
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147
Pressure-Side
0.35762
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148
Pressure-Side
0.36387
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0.50001
149
Pressure-Side
0.37004
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0.50001
150
Pressure-Side
0.37611
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151
Pressure-Side
0.38210
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0.50001
152
Pressure-Side
0.38798
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0.50001
153
Pressure-Side
0.39376
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154
Pressure-Side
0.39946
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0.50001
155
Pressure-Side
0.40506
0.04556
0.50001
156
Pressure-Side
0.41057
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157
Pressure-Side
0.41599
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0.50001
158
Pressure-Side
0.42131
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0.50001
159
Pressure-Side
0.42654
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0.50001
160
Pressure-Side
0.43169
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0.50001
161
Pressure-Side
0.43675
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0.50001
162
Pressure-Side
0.44173
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0.50001
163
Pressure-Side
0.44663
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0.50001
164
Pressure-Side
0.45145
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0.50001
165
Pressure-Side
0.45620
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166
Pressure-Side
0.46086
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0.50001
167
Pressure-Side
0.46545
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0.50001
168
Pressure-Side
0.46997
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169
Pressure-Side
0.47442
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170
Pressure-Side
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171
Pressure-Side
0.48312
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172
Pressure-Side
0.48737
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173
Pressure-Side
0.49156
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174
Pressure-Side
0.49567
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175
Pressure-Side
0.49973
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176
Pressure-Side
0.50374
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177
Pressure-Side
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According to various embodiments, and as a result of endwall contour 218, a region of a passage trough 250 between two airfoils 202 proximate endwall 212 can be affected. For example, a bottom edge of a passage trough 250 between a pair of buckets 200 can vary radially, whereas an endwall without a contour would leave a bottom edge of such a throat as at least a straight line, if not a substantially constant radial distance.

Turning to FIG. 5, a schematic view of portions of a multi-shaft combined cycle power plant 900 is shown. Combined cycle power plant 900 may include, for example, a gas turbine 980 operably connected to a generator 970. Generator 970 and gas turbine 980 may be mechanically coupled by a shaft 915, which may transfer energy between a drive shaft (not shown) of gas turbine 980 and generator 970. Also shown in FIG. 5 is a heat exchanger 986 operably connected to gas turbine 980 and a steam turbine 992. Heat exchanger 986 may be fluidly connected to both gas turbine 980 and a steam turbine 992 via conventional conduits (numbering omitted). Gas turbine 980 and/or steam turbine 992 may include one or more buckets 200 as shown and described with reference to FIG. 2 and/or other embodiments described herein. Heat exchanger 986 may be a conventional heat recovery steam generator (HRSG), such as those used in conventional combined cycle power systems. As is known in the art of power generation, HRSG 986 may use hot exhaust from gas turbine 980, combined with a water supply, to create steam which is fed to steam turbine 992. Steam turbine 992 may optionally be coupled to a second generator system 970 (via a second shaft 915). It is understood that generators 970 and shafts 915 may be of any size or type known in the art and may differ depending upon their application or the system to which they are connected. Common numbering of the generators and shafts is for clarity and does not necessarily suggest these generators or shafts are identical. In another embodiment, shown in FIG. 5, a single shaft combined cycle power plant 990 may include a single generator 970 coupled to both gas turbine 980 and steam turbine 992 via a single shaft 915. Steam turbine 992 and/or gas turbine 980 may include one or more buckets 200 shown and described with reference to FIG. 2 and/or other embodiments described herein.

The apparatus and devices of the present disclosure are not limited to any one particular engine, turbine, jet engine, generator, power generation system or other system, and may be used with other aircraft systems, power generation systems and/or systems (e.g., combined cycle, simple cycle, nuclear reactor, etc.). Additionally, the apparatus of the present invention may be used with other systems not described herein that may benefit from the increased reduced tip leakage and increased efficiency of the apparatus and devices described herein.

In various embodiments, components described as being “coupled” to one another can be joined along one or more interfaces. In some embodiments, these interfaces can include junctions between distinct components, and in other cases, these interfaces can include a solidly and/or integrally formed interconnection. That is, in some cases, components that are “coupled” to one another can be simultaneously formed to define a single continuous member. However, in other embodiments, these coupled components can be formed as separate members and be subsequently joined through known processes (e.g., fastening, ultrasonic welding, bonding).

The terminology used herein is for the purpose of describing particular example embodiments only and is not intended to be limiting. As used herein, the singular forms “a”, “an” and “the” may be intended to include the plural forms as well, unless the context clearly indicates otherwise. The terms “comprises,”“comprising,”“including,” and “having,” are inclusive and therefore specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. The method steps, processes, and operations described herein are not to be construed as necessarily requiring their performance in the particular order discussed or illustrated, unless specifically identified as an order of performance. It is also to be understood that additional or alternative steps may be employed.

When an element or layer is referred to as being “on”, “engaged to”, “connected to” or “coupled to” another element or layer, it may be directly on, engaged, connected or coupled to the other element or layer, or intervening elements or layers may be present. In contrast, when an element is referred to as being “directly on,”“directly engaged to”, “directly connected to” or “directly coupled to” another element or layer, there may be no intervening elements or layers present. Other words used to describe the relationship between elements should be interpreted in a like fashion (e.g., “between” versus “directly between,”“adjacent” versus “directly adjacent,” etc.). As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items.

Spatially relative terms, such as “inner,”“outer,”“beneath”, “below”, “lower”, “above”, “upper” and the like, may be used herein for ease of description to describe one element or feature's relationship to another element(s) or feature(s) as illustrated in the figures. Spatially relative terms may be intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements described as “below” or “beneath” other elements or features would then be oriented “above” the other elements or features. Thus, the example term “below” can encompass both an orientation of above and below. The device may be otherwise oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.

The foregoing description of various aspects of the invention has been presented for purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise form disclosed, and obviously, many modifications and variations are possible. Such modifications and variations that may be apparent to an individual in the art are included within the scope of the invention as defined by the accompanying claims.

This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims.

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16.0/100 Score

Market Attractiveness

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29.0/100 Score

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75.0/100 Score

Technology Quality

It shows the degree of innovation that can be derived from a company’s IP. Here we look into ease of detection, ability to design around and significance of the patented feature to the product/service.

92.0/100 Score

Assignee Score

It takes the R&D behavior of the company itself into account that results in IP. During the invention phase, larger companies are considered to assign a higher R&D budget on a certain technology field, these companies have a better influence on their market, on what is marketable and what might lead to a standard.

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Citation

Patents Cited in This Cited by
Title Current Assignee Application Date Publication Date
Turbofan flow path trenches UNITED TECHNOLOGIES CORPORATION 21 February 2013 27 June 2013
Crescentic ramp turbine stage GENERAL ELECTRIC COMPANY 14 April 2005 19 October 2006
Endwall with leading-edge hump UNITED TECHNOLOGIES CORPORATION 06 April 2009 07 October 2010
Blade having a hollow part span shroud GENERAL ELECTRIC COMPANY 29 October 2012 01 May 2014
Turbine blade cascade endwall MITSUBISHI HITACHI POWER SYSTEMS, LTD. 25 September 2008 05 August 2010
See full citation <>

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