Impeller for engine-mounted boost stage fuel pump

Information

  • Patent Grant
  • 9562502
  • Patent Number
    9,562,502
  • Date Filed
    Monday, October 6, 2014
    10 years ago
  • Date Issued
    Tuesday, February 7, 2017
    7 years ago
Abstract
A impeller for a centrifugal pump has an inducer section. The inducer section has first and second pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices. The pluralities of vertices are defined by tables of vertex locations. A method of making a centrifugal pump includes forming an impeller that has an inducer section, as described above, and an impeller section. The impeller is fluidly connected downstream of the inducer section and has third, fourth, and fifth pluralities of blades, each having a plurality of polygonal cross-sectional areas defined by a plurality of vertices. The pluralities of vertices are defined by tables of vertex locations.
Description
CROSS-REFERENCE TO RELATED APPLICATION(S)

Reference is made to application Ser. No. 14/507,388 entitled “Volute for Engine-mounted Boost Stage Fuel Pump”, which was filed on even date and are assigned to the same assignee as this application.


BACKGROUND

The present invention relates generally to centrifugal pumps and, more particularly, to a centrifugal fuel pump mounted to an aircraft engine.


The fuel delivery system of an aircraft supplies fuel to aircraft engines and typically includes a boost pump mounted to the engine. The boost pump receives fuel from fuel tanks mounted on the aircraft and supplies fuel to the main frame pump mounted to the aircraft frame.


The boost pump impeller, imparting increased pressure and flow rate to the fuel, and the volute collector, guiding fuel from the impeller to the boost pump outlet, are among the principle contributors to boost pump performance. Fuel flowing through pumps has potential energy, generally characterized by static pressure, and kinetic energy, generally characterized by dynamic pressure. The sum of the static and dynamic pressures defines a total pressure of the fuel. Efficient pump impellers impart tangential velocity, and therefore dynamic pressure, to the fuel exiting the impeller with minimal input power. The volute collector reduces the velocity and thereby coverts dynamic pressure into static pressure, a process sometimes referred to as pressure recovery. The combination of impeller and volute collector geometry govern pump performance.


Fuel boost pumps are designed to provide an uninterrupted supply of fuel to the main frame pump within a particular pressure and flow rate envelope under all operating conditions encountered by the fuel delivery system during an aircraft flight. Under normal in-flight operating conditions, the fuel tank pressure decreases as altitude increases following the natural depression in the ambient atmospheric pressure, and the fuel temperature varies between −40° F. and 300° F. Under abnormal conditions, the main frame pump can fail or the boost pump can become partially obstructed. Under each set of conditions, the boost pump delivers 100% liquid fuel when a ratio of fuel vapor to liquid fuel (V/L) at the boost pump inlet is 0.45 or more. Furthermore, boost pumps are designed to deliver a maximum outlet pressure such that heat exchangers, filters, and other downstream components do not fail under the boost pump pressure. Maintaining the operational envelope and overall efficiency of the boost pump in view of all the operational conditions during an aircraft flight sometimes involves multiple pumps, each pump tailored for a subset of the operating conditions encountered during flight. However, multiple pumps increase the weight and complexity of the fuel delivery system.


Reducing the weight and complexity of fuel delivery systems while increasing component performance and efficiency continues to be a goal of designers and manufacturers. Therefore a need exists for a high-performance, efficient boost pump that can deliver fuel to the main frame pump within an operational envelope for all conditions during an aircraft flight.


SUMMARY

A rotor for a centrifugal pump has an inducer. The inducer has first and second pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices. The pluralities of vertices are defined by tables of vertex locations.


A method of making a centrifugal pump includes forming a rotor that has an inducer and an impeller. The inducer has first and second pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices. The impeller is fluidly connected downstream of the inducer and has third, fourth, and fifth pluralities of blades, each having a plurality of polygonal cross-sectional areas defined by a plurality of vertices. The pluralities of vertices are defined by tables of vertex locations.





BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 is a schematic of a fuel delivery system.



FIG. 2 is a cross-sectional view of a boost pump from the fuel delivery system in FIG. 1.



FIG. 3 is a perspective view of a shrouded impeller shown without the shroud.



FIG. 4 is a plan view of the shrouded impeller of FIG. 3.



FIG. 5 is a cross-sectional view of an impeller blade cross-section.



FIG. 6 is a perspective view of a boost pump housing showing a first portion of a volute collector.



FIG. 7 is a perspective view of a boost pump center plate showing a second portion of a volute collector.



FIG. 8 is a perspective view of a volute collector fluid volume.



FIG. 9A is a plan view of the volute collector fluid volume of FIG. 8 that defines the frame of reference for first and second volute passages.



FIG. 9B is a side view of the volute collector fluid volume of FIG. 8 that defines the frame of reference for first and second volute passages.



FIG. 10A is a detail view of a cross-section of the first volute passage.



FIG. 10B is a detailed view of a cross-section of the second volute passage.



FIG. 11A is a plan view of the volute collector in FIG. 8 that defines the frame of reference for a diffuser passage and an exit bend.



FIG. 11B is a side view of the volute collector in FIG. 8 that defines the frame of reference for a diffuser passage and an exit bend.



FIG. 12 is a detail view of a cross-section of the exit bend in FIGS. 11A and 11B.





DETAILED DESCRIPTION


FIG. 1 is a schematic of fuel delivery system 10 of an aircraft. System 10 includes fuel inlet 12, boost pump 14, heat exchanger 16, filter 17, main pump 18, fuel metering unit 20, and gas turbine engine 22. Fuel inlet 12 is fluidly connected to aircraft fuel tanks installed within the aircraft. Fuel is delivered from the fuel tanks through plumbing to fuel inlet 12, which supplies boost pump 14 with fuel. Boost pump 14 pressurizes the fuel before providing the fuel to heat exchanger 16 and filter 17. Heat exchanger 16 heats or cools the fuel, and filter 17 removes contaminants from the fuel before it enters main pump 18. Main pump 18 supplies fuel flow to fuel metering unit 20, which regulates the fuel supplied to engine 22. Engine 22 combusts the fuel, generating electrical and mechanical power for operating the aircraft.



FIG. 2 is a cross-sectional view of boost pump 14 having a pump axis 24. Boost pump 14 includes impeller 26 having shroud 27 that is rotatable about pump axis 24 and enclosed within housing 28 and center plate 30. Shaft 32 supports impeller 26 at pilot fit 34, and fastener 36, aided by washer 38, affixes impeller 26 to shaft 32. Shaft 32 has spline 40 that engages drive gear 42, which is affixed to engine shaft 44. Engine shaft 44 is rotatable about axis 46, which is offset from pump axis 24, and is driven by a component of engine 22. Bearings 47a and 47b radially support shaft 32 while bearings 48a and 48b radially support engine shaft 44 with respect to engine 22 (not shown in FIG. 2).


Fuel enters boost pump 14 at inlet 49. Impeller 26 pressurizes the fuel and delivers it to volute collector 50. Labyrinth seal 52a minimizes fuel leakage between impeller 26 and housing 28 while labyrinth seal 52b performs the same function between impeller 26 and center plate 30. Face seal 54 contains the fuel within housing 28 and center plate 30 by preventing fuel flow between impeller 26, center plate 30, and shaft 32. Seal 56 further contains the fuel within housing 28 and center plate 30 by preventing fuel flow therebetween.



FIG. 3 is a perspective view of impeller 26 shown without shroud 27 to illustrate the blade geometry of impeller 26. Impeller 26 includes inducer section 58 and impeller section 60, each being joined to hub 61. Hub 61 extends axially along axis 24 to support inducer section 58 and radially to support impeller section 60. Impeller 26 rotates about pump axis 24 in a clockwise direction as shown in FIG. 3.


Inducer section 58 includes primary blades 62 and secondary blades 64 having leading edges 62a and 64a, respectively. Leading edges 62a and 64a form tapers at the edges of primary and secondary blades 62 and 64, respectively, to facilitate fuel ingestion into inducer section 58. Primary blades 62 and secondary blades 64 are oriented to progressively drive fluid in an axial direction with respect to pump axis 24 such that the fuel pressure gradually increases as it traverses inducer section 58 towards impeller section 60. Inducer section 58 contains a two-phase mixture of fuel, a portion of the fuel being vapor and a portion of the fuel being liquid. The ratio of fuel vapor to liquid fuel (V/L) can be equal to or greater than 0.45 when it enters inducer section 58 that has a larger volume near its inlet to accommodate the two phase mixture. Near the outlet of inducer section 58, the fuel is completely compressed into a liquid state.


Impeller section 60 has main blades 66, primary splitter blades 68, and secondary splitter blades 70. Blades 66, 68, and 70 work by engaging the incoming flow from inducer section 58 at leading edges of blades 66, 68, and 70, each blade forming an incidence angle between the leading edge portion of the blade and the incoming flow direction of fuel. Blades 66, 68, and 70 guide the fuel through impeller section 60, the blade geometries being selected such that the fuel remains attached to the impeller surfaces and that no eddies are produced in the fuel. Main blades 66 extend radially outward with respect to pump axis 24 in a generally spiral shape between an inlet and an outlet of impeller section 60. As the fuel traverses impeller section 60, the cross-sectional area between main blades 66 increases. Primary splitter blades 68 and secondary splitter blades 70 are introduced to tailor the cross-sectional area profile between main blades 66 to efficiently impart mechanical energy to the fuel.



FIG. 4 is a plan view of impeller 26 shown without shroud 27 having outer impeller diameter D. In some embodiments, outer impeller diameter D is greater than or equal to 4.000 inches and less than or equal to 4.250 inches. Preferably, the outer impeller diameter D is 4.125 inches. The geometry of blades 62, 64, 66, 68, and 70 are defined with respect to origin 72 located at the intersection of hub 61 and pump axis 24. Origin 72 includes axial coordinate z, which has a positive direction oriented along pump axis 24 towards inducer section 58. Origin 72 further includes radial direction r and angular direction θ. Radial direction r is perpendicular to pump axis 24 while angular direction θ ranges between 0 degrees and 360 degrees, 0 degrees being located as shown in FIG. 4 and increasing in a counterclockwise direction about pump axis 24. Blades 62, 64, 66, 68, and 70 are defined by a series of cross-sections, as will be explained below.


Alternatively, blades 62, 64, 66, 68, and 70 can be defined with respect to a Cartesian coordinate system that is analogous to the cylindrical coordinate system defined by origin 72. Such a coordinate system has an origin that is collocated with origin 72 in which an x-axis extends radially at θ equal to 0 degrees, a y-axis extends radially at θ equal to 90 degrees, and a z-axis extends axially along axis 24.



FIG. 5 is a cross-sectional view of representative blade cross-section 74 of impeller 26 in relation to hub 61. Blade cross-section 74 has a generally rectangular cross-section defined by vertices 76, 78, 80, and 82. Blade cross-section 74 can represent primary blades 62, secondary blades 64, main blades 66, primary splitter blades 68, or secondary splitter blades 70. The location of vertices 76, 78, 80, and 82 are defined with respect to origin 72 and outer impeller diameter D, being presented as ratio r/D, ratio z/D, and θ. In some embodiments, vertices 76, 78, 80, and 82 are defined by Tables 1-5. Tables 1 and 2 define primary blades 62 and secondary blades 64, respectively, of inducer section 58, while Tables 3-5 define main blades 66, primary splitter blades 68, and secondary splitter blades 70, respectively, of impeller section 60. The geometry defined by Tables 1-5 are listed to the nearest ten-thousandth of an inch and to the nearest hundredth of a degree. However, all blades having a geometry within +/−0.010 inches and +/−0.005 degrees of Tables 1-5 are within the design tolerances of impeller 26. Moreover, blades 66, 68, and 70 can be machined flush with outer impeller diameter D, effectively trimming cross-section 40 from Tables 3-5, 11-13, and 19-21.



FIGS. 6 and 7 are perspective views of housing 28 and center plate 30, each showing volute collector portions 50a and 50b, respectively. When seal 56 (see FIG. 1) is assembled in groove 84 (see FIG. 7) and fasteners 86 (not shown) are installed through holes 88, housing 28 and center plate 30 are placed in a facing relationship. Volute collector portions 50a and 50b cooperate to form volute collector 50 (see FIG. 2). Volute collector 50 (see FIG. 2) is a passage that redirects fuel exiting impeller 26 towards boost pump outlet 89 defined by housing 28 and center plate 30.



FIG. 8 is a perspective view of volute collector 50 shown as a volume for clarity. Volute collector 50 includes first volute passage 88, second volute passage 90, diffuser passage 92, and exit bend 94. First volute passage 88 and second volute passage 90 are sometimes referred to as the volute proper. The fuel exiting impeller 26 has velocity directed substantially in a tangential direction with respect to pump axis 24. First and second volute passages 88 and 90 collect the fuel flow, guiding it towards diffuser passage 92 with an increasing cross-section to reduce the fuel velocity. The cross-section of diffuser passage 92 expands further, such that at the exit of diffuser passage 92, the fuel has a dynamic and static pressure suitable for fuel delivery system 10 (see FIG. 1). Exit bend 94 directs the fuel in a direction necessary to interface with fuel delivery system 10. In some embodiments the combination of first and second volute passages 88 and 90 reduce the fuel velocity between 40% and 60% of the fuel velocity exiting impeller 26 (see FIGS. 2-5), and diffuser section 92 reduces the fuel velocity to between 25% and 50% of the fuel velocity exiting impeller 26. Furthermore, exit bend 94 can be greater than or equal to 70 degrees and less than or equal to 90 degrees.



FIG. 9A is a plan view and FIG. 9B is a side view of volute collector 50 that define the frame of reference for first and second volute passages 88 and 90, which are defined with respect to origin 96. Origin 96 is located at the intersection of plane 98 and pump axis 24 in which plane 98 bisects the cross-sections of first and second volute passages 88 and 90. Origin 96 defines a cylindrical coordinate system in which radial direction r is perpendicular to pump axis 24, angular direction θ is defined about pump axis 24 and increases in a counterclockwise direction from 0 degrees as shown in FIG. 9A, and axial direction z which is increasingly positive as shown in FIG. 9B. First volute passage 88 extends from 0 degrees through first angle α whereas second volute passage 90 extends through second angle β. The sum of first and second angles α and β is 360 degrees. In some embodiments, first angle α is greater than or equal to 190 degrees and less than or equal to 200 degrees.


Alternatively, first volute passage 88, second volute passage, 90, and diffuser 92 can be defined with respect to a Cartesian coordinate system that is analogous to the cylindrical coordinate system defined by origin 96. Such a coordinate system has an origin that is collocated with origin 96 in which an x-axis extends radially at θ equal to 0 degrees, a y-axis extends radially at θ equal to 90 degrees, and a z-axis extends axially along axis 24.



FIG. 10A is a detailed view of a cross-section of first volute passage 88 taken along the line 10A-10A and defined with respect to origin 96. Cross-section 99a has inside radius Rv, height ha, width ba, first radius R1, and second radius R2. First radius R1 and second radius R2 correspond to ball-end mill sizes used during the manufacture of housing 28 and center plate 30 (see FIGS. 6-7). Inside radius Rv, height ha, and width ba are defined as a function of first angle α, the dimensions being selected based on the flow rate, dynamic pressure, and static pressure conditions along the circumferential outlet of impeller 26. In some embodiments, first radius R1 is equal to or between 0.1250 inches and 0.3750 inches, a preferable size being 0.1563 inches, and second radius R2 is equal to or between 0.0156 inches and 0.0469 inches, a preferable size being 0.0313 inches. Moreover, inside radius Rv, height ha, and width ba are defined as a ratio with respect to outer impeller diameter D (see FIG. 4) and presented as ratio Rv/D, ratio ha/D, and ratio ba/D in Table 6. The geometric parameters defined in Table 6 are listed to the nearest ten-thousandth of an inch. However, geometric parameters within +/−0.010 inches of Table 6 are within the design tolerances of volute collector 50.



FIG. 10B is a detailed view of a cross-section of second volute passage 90 taken along the line 10B-10B and is defined with respect to origin 96. Cross-section 99b has inside radius Rv, height hb, width bb, and first radius R1. First radius R1 is defined as previously described. In cross-section 10B-10B, inside radius Rv, height hb, and width bb are defined as a ratio with respect to outer impeller diameter D (see FIG. 4) and presented as ratio Rv/D, ratio hb/D, and ratio bb/D in Table 7. The geometric parameters defined in Table 7 are listed to the nearest ten-thousandth of an inch. However, geometric parameters within +/−0.010 inches of Table 7 are within the design tolerances of volute collector 50.



FIG. 11A is a plan view and 11B is a side view of volute collector 50 that define the frame of reference for diffuser passage 92 and exit bend 94. Diffuser passage 92 is defined with respect to origin 96, which defines a cylindrical coordinate system as previously described, and exit bend 94 is defined with respect to origin 100. Origin 100 is located on plane 98 but is offset from pump axis 24 by radial distance R offset and angular distance θ offset. Diffuser passage 92 is a straight passage of continuously increasing area in which the cross-section at the inlet of diffuser passage 92 is equal to the outlet cross-section of second volute passage 90 and the outlet cross-section of diffuser passage 92 is equal to the inlet cross-section of exit bend 94. Exit bend 94 extends between included angle φ and has a cross-section taken along line 12-12 as shown in FIG. 11A. Each cross-section 101 of exit bend 94 has bend radius Rb and an axial offset z offset as shown in FIG. 11B to gradually direct the fuel flow towards boost pump outlet 89.


Alternatively, exit bend 94 can be defined with respect to a Cartesian coordinate system that is analogous to the cylindrical coordinate system defined by origin 100. Such a coordinate system has an origin that is collocated with origin 100 in which an x-axis extends radially at φ equal to 0 degrees, a y-axis extends radially at φ equal to 90 degrees, and a z-axis extends parallel to axis 24.



FIG. 12 is a detail view of a cross-section of exit bend 94 taken along the line 12-12. Cross-section 101 has a generally rectangular cross-section defined by height hc, width bc, axial offset z offset, and second radius R2. Second radius R2 is defined as previously described. Height hc, width bc, and axial offset z offset are presented as ratios with respect to outer impeller diameter D (see FIG. 4). In some embodiments, ratio hc/D, ratio bc/D, and ratio z offset/D are defined as presented in Table 8. The geometric parameters defined in Table 8 are listed to the nearest ten-thousandth of an inch; however, geometric parameters within +/−0.010 inches of Table 8 are within the design tolerances of volute collector 50.


A method of making a centrifugal pump that has impeller 26 and volute collector 50 in accordance with the preceding description is also disclosed. The method includes forming impeller 26 with inducer section 58. As previously described, inducer section 58 has primary blades 62 and secondary blades 64 defined by a series of cross-sections. The method can further include forming impeller 26 with impeller section 60. Impeller section 60 has main blades 66, primary splitter blades 68, and secondary splitter blades 70. Blades 66, 68, and 70 are defined by a series of cross-sections. In each case, the cross-section can be represented by blade cross-section 74 having vertices 76, 78, 80, and 82.


The method can further include forming shroud 27 on the radially outward side of blades 66, 68, and 70. Additionally, the method can include forming a hub joining the inducer and impeller sections as previously shown and described above.


The method can further include forming housing 28 that includes walls defining first volute passage 88, second volute passage 90, and diffuser passage 92. Passages 88, 90, and 92 are defined by a series of cross-sectional areas as previously described. The walls of housing 28 can also define exit bend 94, similarly defined by a series of cross-sectional areas.


In some embodiments of the method, housing 28 can cooperate with center plate 30, each defining a portion of first volute passage 88, second volute passage 90, and diffuser passage 92. Housing 28 can have a facing relationship with center plate 30 such that each portion of passages 88, 90, and 92 cooperate to form a volute collector 50.


Tables 1-8 are provided below.









TABLE 1







Inducer Section - Primary Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D


Number
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]






















1
0.2182
359.86
0.5343
0.2182
0.14
0.5391
0.0727
357.80
0.5324
0.0727
2.20
0.5411


2
0.2182
0.32
0.5338
0.2182
0.60
0.5389
0.0727
358.13
0.5317
0.0727
2.79
0.5410


3
0.2182
1.40
0.5328
0.2182
1.70
0.5381
0.0727
359.09
0.5305
0.0727
4.01
0.5404


4
0.2182
3.00
0.5314
0.2182
3.31
0.5368
0.0727
0.55
0.5289
0.0727
5.76
0.5393


5
0.2182
5.06
0.5297
0.2182
5.38
0.5353
0.0727
2.48
0.5269
0.0727
7.95
0.5378


6
0.2182
7.55
0.5276
0.2182
7.88
0.5334
0.0727
4.84
0.5246
0.0727
10.58
0.5360


7
0.2182
10.44
0.5251
0.2182
10.78
0.5311
0.0727
7.60
0.5219
0.0727
13.63
0.5338


8
0.2182
13.72
0.5224
0.2182
14.08
0.5285
0.0727
10.76
0.5188
0.0727
17.06
0.5314


9
0.2182
17.38
0.5193
0.2182
17.74
0.5256
0.0727
14.28
0.5155
0.0727
20.85
0.5286


10
0.2182
21.39
0.5160
0.2182
21.76
0.5225
0.0727
18.16
0.5119
0.0727
25.00
0.5255


11
0.2182
25.76
0.5123
0.2182
26.14
0.5191
0.0727
22.39
0.5079
0.0727
29.51
0.5221


12
0.2182
30.46
0.5084
0.2182
30.85
0.5153
0.0727
26.96
0.5037
0.0727
34.35
0.5184


13
0.2182
35.50
0.5042
0.2182
35.90
0.5113
0.0727
31.87
0.4992
0.0727
39.54
0.5145


14
0.2182
40.86
0.4998
0.2182
41.27
0.5071
0.0727
37.09
0.4944
0.0727
45.04
0.5102


15
0.2182
46.54
0.4951
0.2182
46.96
0.5026
0.0727
42.64
0.4894
0.0727
50.86
0.5057


16
0.2182
52.54
0.4902
0.2182
52.97
0.4978
0.0727
48.65
0.4844
0.0727
56.86
0.5007


17
0.2182
58.84
0.4850
0.2182
59.28
0.4928
0.0727
54.95
0.4791
0.0727
63.17
0.4954


18
0.2182
65.45
0.4795
0.2182
65.90
0.4875
0.0727
61.56
0.4735
0.0727
69.78
0.4899


19
0.2182
72.35
0.4738
0.2182
72.82
0.4820
0.0727
68.47
0.4677
0.0727
76.68
0.4841


20
0.2182
79.55
0.4679
0.2182
80.02
0.4763
0.0727
75.68
0.4617
0.0727
83.90
0.4781


21
0.2182
87.03
0.4617
0.2182
87.52
0.4703
0.0728
83.17
0.4554
0.0727
91.38
0.4718


22
0.2182
94.81
0.4553
0.2182
95.30
0.4641
0.0728
90.95
0.4489
0.0727
99.16
0.4653


23
0.2182
102.86
0.4487
0.2182
103.37
0.4577
0.0730
99.02
0.4422
0.0727
107.21
0.4585


24
0.2182
111.20
0.4419
0.2182
111.72
0.4510
0.0732
107.39
0.4352
0.0727
115.52
0.4515


25
0.2182
119.81
0.4348
0.2182
120.34
0.4441
0.0734
116.03
0.4279
0.0729
124.12
0.4443


26
0.2182
128.70
0.4276
0.2182
129.23
0.4369
0.0737
124.94
0.4205
0.0731
133.00
0.4368


27
0.2182
137.86
0.4202
0.2182
138.40
0.4295
0.0741
134.14
0.4128
0.0733
142.13
0.4292


28
0.2182
147.30
0.4126
0.2182
147.83
0.4219
0.0746
143.62
0.4049
0.0736
151.52
0.4213


29
0.2182
157.00
0.4047
0.2182
157.52
0.4140
0.0751
153.35
0.3967
0.0740
161.16
0.4132


30
0.2182
166.95
0.3967
0.2182
167.49
0.4060
0.0758
163.36
0.3884
0.0745
171.07
0.4048


31
0.2182
177.17
0.3884
0.2182
177.71
0.3977
0.0765
173.65
0.3798
0.0751
181.23
0.3963


32
0.2182
187.66
0.3799
0.2182
188.18
0.3892
0.0773
184.19
0.3710
0.0758
191.65
0.3875


33
0.2182
198.39
0.3712
0.2182
198.92
0.3805
0.0783
195.01
0.3620
0.0765
202.30
0.3785


34
0.2182
209.38
0.3623
0.2182
209.91
0.3716
0.0793
206.08
0.3528
0.0774
213.22
0.3693


35
0.2182
220.62
0.3532
0.2182
221.15
0.3625
0.0805
217.40
0.3433
0.0784
224.36
0.3599


36
0.2182
232.08
0.3439
0.2182
232.61
0.3532
0.0818
228.95
0.3337
0.0795
235.75
0.3503


37
0.2182
243.75
0.3344
0.2182
244.29
0.3437
0.0832
240.80
0.3240
0.0808
247.24
0.3402


38
0.2182
255.63
0.3247
0.2182
256.17
0.3340
0.0847
252.84
0.3142
0.0822
258.95
0.3300


39
0.2182
267.68
0.3148
0.2182
268.22
0.3240
0.0864
265.06
0.3041
0.0838
270.83
0.3195


40
0.2182
279.89
0.3047
0.2182
280.43
0.3139
0.0882
277.44
0.2939
0.0855
282.88
0.3088


41
0.2182
292.22
0.2944
0.2182
292.78
0.3036
0.0902
289.95
0.2834
0.0874
295.05
0.2980


42
0.2182
304.68
0.2839
0.2182
305.23
0.2931
0.0923
302.56
0.2728
0.0894
307.35
0.2869


43
0.2182
317.22
0.2732
0.2182
317.79
0.2824
0.0946
315.26
0.2619
0.0916
319.75
0.2756


44
0.2182
329.84
0.2624
0.2182
330.41
0.2715
0.0971
328.03
0.2509
0.0941
332.23
0.2641


45
0.2182
342.50
0.2513
0.2182
343.08
0.2604
0.0998
340.84
0.2397
0.0967
344.73
0.2524


46
0.2182
355.18
0.2400
0.2182
355.76
0.2492
0.1026
353.65
0.2282
0.0995
357.29
0.2406


47
0.2182
7.84
0.2286
0.2182
8.44
0.2377
0.1057
6.45
0.2166
0.1025
9.83
0.2285


48
0.2182
20.49
0.2169
0.2182
21.09
0.2261
0.1087
19.22
0.2047
0.1058
22.36
0.2162


49
0.2182
33.08
0.2051
0.2182
33.70
0.2143
0.1116
31.93
0.1927
0.1090
34.85
0.2038


50
0.2182
45.59
0.1931
0.2182
46.23
0.2023
0.1144
44.54
0.1804
0.1120
47.27
0.1912


51
0.2182
58.01
0.1809
0.2182
58.66
0.1901
0.1170
57.06
0.1680
0.1149
59.62
0.1783


52
0.2182
70.31
0.1686
0.2182
70.98
0.1777
0.1196
69.44
0.1554
0.1177
71.85
0.1653


53
0.2182
82.47
0.1560
0.2182
83.16
0.1651
0.1219
81.69
0.1426
0.1203
83.95
0.1520


54
0.2182
94.48
0.1433
0.2182
95.18
0.1524
0.1241
93.76
0.1296
0.1227
95.90
0.1386
















TABLE 2







Inducer Section - Secondary Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D


Number
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]






















1-43
0
0
0
0
0
0
0
0
0
0
0
0


44
0.2182
269.98
0.2647
0.2182
270.27
0.2693
0.0965
268.79
0.2533
0.0946
271.46
0.2617


45
0.2182
282.62
0.2533
0.2182
282.95
0.2585
0.0994
281.31
0.2413
0.0971
284.26
0.2508


46
0.2182
295.28
0.2417
0.2182
295.66
0.2476
0.1024
293.88
0.2290
0.0997
297.05
0.2398


47
0.2182
307.93
0.2299
0.2182
308.35
0.2364
0.1057
306.45
0.2166
0.1025
309.84
0.2285


48
0.2182
320.55
0.2180
0.2182
321.03
0.2251
0.1089
318.99
0.2039
0.1056
322.59
0.2171


49
0.2182
333.12
0.2058
0.2182
333.65
0.2136
0.1120
331.49
0.1910
0.1086
335.29
0.2055


50
0.2182
345.61
0.1935
0.2182
346.20
0.2019
0.1150
343.91
0.1779
0.1115
347.91
0.1937


51
0.2182
358.01
0.1809
0.2182
358.66
0.1901
0.1177
356.23
0.1647
0.1142
0.44
0.1817


52
0.2182
10.31
0.1686
0.2182
10.98
0.1777
0.1202
8.58
0.1518
0.1170
12.70
0.1689


53
0.2182
22.47
0.1560
0.2182
23.16
0.1651
0.1226
20.78
0.1388
0.1196
24.85
0.1559
















TABLE 3







Impeller Section - Main Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D


Number
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]






















1
0.2324
1.15
0.1149
0.2292
1.36
0.1184
0.1800
0.22
0.0521
0.1839
359.78
0.0497


2
0.2415
17.30
0.1073
0.2374
17.58
0.1109
0.1971
19.85
0.0438
0.2018
19.33
0.0415


3
0.2522
31.55
0.0998
0.2473
31.90
0.1033
0.2139
35.32
0.0371
0.2194
34.75
0.0350


4
0.2640
43.97
0.0927
0.2583
44.38
0.0962
0.2304
47.88
0.0317
0.2365
47.26
0.0297


5
0.2763
54.61
0.0863
0.2699
55.09
0.0897
0.2462
58.21
0.0272
0.2530
57.53
0.0253


6
0.2888
63.64
0.0805
0.2817
64.19
0.0839
0.2614
66.79
0.0234
0.2688
66.05
0.0216


7
0.3012
71.27
0.0755
0.2933
71.89
0.0788
0.2758
73.96
0.0202
0.2837
73.16
0.0184


8
0.3132
77.71
0.0710
0.3047
78.39
0.0743
0.2893
79.99
0.0175
0.2979
79.14
0.0158


9
0.3247
83.15
0.0672
0.3157
83.90
0.0703
0.3021
85.10
0.0152
0.3112
84.19
0.0136


10
0.3358
87.77
0.0638
0.3262
88.59
0.0668
0.3141
89.46
0.0132
0.3237
88.49
0.0116


11
0.3464
91.69
0.0608
0.3362
92.58
0.0638
0.3254
93.19
0.0114
0.3355
92.16
0.0100


12
0.3563
95.04
0.0582
0.3456
96.01
0.0611
0.3359
96.41
0.0100
0.3465
95.31
0.0086


13
0.3658
97.92
0.0560
0.3546
98.96
0.0587
0.3458
99.21
0.0087
0.3569
98.04
0.0073


14
0.3748
100.41
0.0539
0.3631
101.53
0.0567
0.3552
101.64
0.0076
0.3667
100.42
0.0063


15
0.3833
102.56
0.0522
0.3712
103.76
0.0548
0.3639
103.79
0.0066
0.3758
102.49
0.0054


16
0.3913
104.44
0.0506
0.3788
105.71
0.0532
0.3722
105.67
0.0058
0.3845
104.31
0.0046


17
0.3990
106.08
0.0493
0.3861
107.43
0.0517
0.3800
107.35
0.0050
0.3926
105.91
0.0039


18
0.4062
107.52
0.0480
0.3930
108.96
0.0504
0.3874
108.84
0.0044
0.4004
107.33
0.0033


19
0.4131
108.79
0.0470
0.3995
110.31
0.0492
0.3944
110.17
0.0038
0.4077
108.59
0.0028


20
0.4197
109.92
0.0460
0.4058
111.52
0.0482
0.4010
111.37
0.0033
0.4147
109.72
0.0023


21
0.4257
110.96
0.0452
0.4120
112.57
0.0472
0.4076
112.42
0.0028
0.4210
110.76
0.0020


22
0.4314
111.90
0.0444
0.4180
113.52
0.0463
0.4139
113.37
0.0024
0.4271
111.69
0.0016


23
0.4370
112.75
0.0437
0.4237
114.39
0.0455
0.4199
114.23
0.0021
0.4330
112.55
0.0014


24
0.4422
113.53
0.0431
0.4292
115.18
0.0448
0.4257
115.02
0.0017
0.4385
113.33
0.0011


25
0.4473
114.24
0.0426
0.4345
115.91
0.0441
0.4313
115.74
0.0015
0.4439
114.05
0.0009


26
0.4522
114.90
0.0421
0.4396
116.57
0.0435
0.4367
116.40
0.0012
0.4491
114.71
0.0007


27
0.4570
115.50
0.0416
0.4446
117.19
0.0429
0.4418
117.02
0.0010
0.4541
115.32
0.0005


28
0.4615
116.06
0.0412
0.4493
117.75
0.0424
0.4468
117.59
0.0008
0.4589
115.89
0.0004


29
0.4660
116.58
0.0408
0.4540
118.28
0.0419
0.4517
118.13
0.0006
0.4635
116.43
0.0003


30
0.4703
117.07
0.0405
0.4585
118.77
0.0415
0.4564
118.63
0.0005
0.4681
116.93
0.0002


31
0.4745
117.52
0.0402
0.4629
119.23
0.0411
0.4610
119.10
0.0004
0.4725
117.40
0.0001


32
0.4786
117.94
0.0399
0.4672
119.66
0.0408
0.4654
119.54
0.0003
0.4768
117.84
0.0001


33
0.4827
118.35
0.0396
0.4714
120.06
0.0404
0.4698
119.96
0.0002
0.4810
118.26
−0.0002


34
0.4866
118.73
0.0394
0.4755
120.45
0.0401
0.4741
120.36
0.0000
0.4852
118.66
0.0000


35
0.4905
119.09
0.0392
0.4796
120.81
0.0399
0.4783
120.74
0.0000
0.4892
119.04
0.0000


36
0.4943
119.44
0.0390
0.4835
121.16
0.0396
0.4824
121.10
0.0000
0.4932
119.40
0.0000


37
0.4981
119.77
0.0388
0.4875
121.49
0.0394
0.4865
121.45
0.0000
0.4972
119.75
0.0000


38
0.5018
120.10
0.0386
0.4913
121.81
0.0392
0.4905
121.78
0.0000
0.5011
120.09
0.0000


39
0.5055
120.41
0.0385
0.4951
122.11
0.0390
0.4945
122.10
0.0000
0.5049
120.41
0.0000


40
0.5662
124.79
0.0385
0.5557
126.31
0.0390
0.5550
126.31
0.0000
0.5655
124.80
0.0000
















TABLE 4







Impeller Section - Primary Splitter Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D


Number
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]






















1-4
0
0
0
0
0
0
0
0
0
0
0
0


5
0.2752
90.70
0.0869
0.2711
91.00
0.0891
0.2475
94.09
0.0268
0.2518
93.66
0.0256


6
0.2875
99.74
0.0811
0.2830
100.09
0.0833
0.2627
102.66
0.0230
0.2674
102.18
0.0219


7
0.2998
107.38
0.0761
0.2947
107.78
0.0782
0.2772
109.82
0.0199
0.2823
109.30
0.0188


8
0.3117
113.83
0.0716
0.3062
114.27
0.0737
0.2908
115.85
0.0172
0.2964
115.29
0.0161


9
0.3232
119.28
0.0677
0.3172
119.77
0.0698
0.3037
120.95
0.0149
0.3096
120.35
0.0138


10
0.3342
123.90
0.0643
0.3278
124.44
0.0663
0.3157
125.30
0.0129
0.3221
124.65
0.0119


11
0.3447
127.83
0.0613
0.3379
128.43
0.0633
0.3271
129.02
0.0112
0.3338
128.33
0.0102


12
0.3546
131.20
0.0587
0.3474
131.85
0.0606
0.3377
132.23
0.0097
0.3448
131.49
0.0088


13
0.3640
134.09
0.0564
0.3564
134.79
0.0583
0.3476
135.02
0.0085
0.3551
134.23
0.0076


14
0.3729
136.58
0.0544
0.3650
137.34
0.0562
0.3570
137.45
0.0074
0.3648
136.61
0.0065


15
0.3814
138.75
0.0526
0.3731
139.56
0.0544
0.3658
139.58
0.0064
0.3739
138.69
0.0056


16
0.3894
140.63
0.0510
0.3808
141.50
0.0528
0.3741
141.46
0.0056
0.3825
140.52
0.0048


17
0.3969
142.29
0.0497
0.3881
143.21
0.0513
0.3820
143.12
0.0049
0.3906
142.13
0.0041


18
0.4041
143.74
0.0484
0.3950
144.73
0.0500
0.3894
144.60
0.0042
0.3983
143.56
0.0035


19
0.4110
145.02
0.0473
0.4017
146.07
0.0489
0.3964
145.93
0.0037
0.4056
144.83
0.0030


20
0.4175
146.16
0.0463
0.4080
147.27
0.0478
0.4031
147.12
0.0032
0.4126
145.97
0.0025


21
0.4238
147.18
0.0454
0.4139
148.33
0.0469
0.4095
148.19
0.0027
0.4191
146.99
0.0021


22
0.4297
148.10
0.0446
0.4197
149.31
0.0461
0.4156
149.16
0.0023
0.4255
147.91
0.0017


23
0.4355
148.93
0.0439
0.4252
150.20
0.0453
0.4214
150.04
0.0020
0.4315
148.74
0.0014


24
0.4409
149.69
0.0433
0.4305
151.01
0.0446
0.4270
150.85
0.0017
0.4373
149.49
0.0012


25
0.4462
150.38
0.0427
0.4356
151.76
0.0439
0.4324
151.60
0.0014
0.4428
150.19
0.0009


26
0.4513
151.01
0.0422
0.4405
152.45
0.0434
0.4375
152.29
0.0012
0.4482
150.83
0.0007


27
0.4562
151.59
0.0417
0.4453
153.09
0.0428
0.4425
152.93
0.0010
0.4534
151.42
0.0006


28
0.4610
152.13
0.0412
0.4499
153.68
0.0423
0.4473
153.52
0.0008
0.4584
151.96
0.0004


29
0.4656
152.63
0.0409
0.4543
154.23
0.0419
0.4520
154.08
0.0006
0.4632
152.47
0.0003


30
0.4701
153.09
0.0405
0.4587
154.74
0.0415
0.4565
154.61
0.0005
0.4679
152.95
0.0002


31
0.4745
153.52
0.0402
0.4629
155.23
0.0411
0.4610
155.10
0.0004
0.4725
153.40
0.0001


32
0.4786
153.95
0.0399
0.4672
155.66
0.0408
0.4654
155.54
0.0003
0.4768
153.84
0.0001


33
0.4827
154.35
0.0396
0.4714
156.06
0.0404
0.4698
155.96
0.0002
0.4810
154.26
−0.0002


34
0.4866
154.73
0.0394
0.4755
156.45
0.0401
0.4741
156.36
0.0000
0.4852
154.66
0.0000


35
0.4905
155.09
0.0392
0.4796
156.81
0.0398
0.4783
156.74
0.0000
0.4892
155.04
0.0000


36
0.4943
155.44
0.0390
0.4835
157.16
0.0396
0.4824
157.10
0.0000
0.4932
155.40
0.0000


37
0.4981
155.77
0.0388
0.4874
157.49
0.0394
0.4865
157.45
0.0000
0.4972
155.75
0.0000


38
0.5018
156.10
0.0386
0.4913
157.81
0.0392
0.4905
157.78
0.0000
0.5011
156.09
0.0000


39
0.5055
156.41
0.0385
0.4951
158.11
0.0390
0.4944
158.10
0.0000
0.5049
156.41
0.0000


40
0.5662
160.79
0.0385
0.5557
162.31
0.0390
0.5551
162.31
0.0000
0.5655
160.80
0.0000
















TABLE 5







Impeller Section - Secondary Splitter Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D
r/D
θ
z/D


Number
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]
[in/in]
[deg]
[in/in]






















1-11
0
0
0
0
0
0
0
0
0
0
0
0


12
0.3531
113.33
0.0591
0.3489
113.71
0.0602
0.3392
114.08
0.0095
0.3433
113.65
0.0090


13
0.3625
116.22
0.0568
0.3579
116.65
0.0579
0.3491
116.87
0.0083
0.3536
116.39
0.0077


14
0.3715
118.72
0.0547
0.3664
119.20
0.0559
0.3584
119.30
0.0072
0.3634
118.76
0.0067


15
0.3800
120.88
0.0529
0.3745
121.42
0.0541
0.3672
121.43
0.0063
0.3726
120.84
0.0057


16
0.3880
122.77
0.0513
0.3821
123.37
0.0525
0.3754
123.31
0.0055
0.3812
122.66
0.0049


17
0.3957
124.42
0.0499
0.3894
125.08
0.0511
0.3832
124.98
0.0047
0.3894
124.27
0.0042


18
0.4029
125.87
0.0486
0.3962
126.59
0.0498
0.3906
126.47
0.0041
0.3972
125.70
0.0036


19
0.4098
127.15
0.0475
0.4028
127.94
0.0487
0.3976
127.79
0.0036
0.4045
126.97
0.0030


20
0.4164
128.28
0.0465
0.4090
129.14
0.0477
0.4042
128.99
0.0031
0.4115
128.10
0.0026


21
0.4227
129.29
0.0456
0.4150
130.21
0.0467
0.4105
130.06
0.0026
0.4181
129.11
0.0022


22
0.4287
130.21
0.0448
0.4207
131.19
0.0459
0.4166
131.04
0.0023
0.4245
130.03
0.0018


23
0.4345
131.04
0.0440
0.4261
132.08
0.0452
0.4223
131.92
0.0019
0.4306
130.85
0.0015


24
0.4401
131.80
0.0434
0.4314
132.90
0.0445
0.4279
132.74
0.0016
0.4364
131.61
0.0012


25
0.4454
132.49
0.0428
0.4364
133.65
0.0438
0.4332
133.49
0.0014
0.4420
132.30
0.0010


26
0.4505
133.12
0.0423
0.4413
134.34
0.0433
0.4383
134.18
0.0011
0.4474
132.93
0.0008


27
0.4555
133.69
0.0418
0.4460
134.98
0.0428
0.4432
134.82
0.0009
0.4526
133.52
0.0006


28
0.4603
134.23
0.0413
0.4506
135.58
0.0423
0.4480
135.43
0.0008
0.4577
134.06
0.0004


29
0.4650
134.72
0.0409
0.4550
136.13
0.0418
0.4527
135.99
0.0006
0.4626
134.57
0.0003


30
0.4695
135.18
0.0405
0.4593
136.65
0.0414
0.4572
136.52
0.0005
0.4673
135.04
0.0002


31
0.4739
135.60
0.0402
0.4635
137.14
0.0411
0.4615
137.01
0.0004
0.4719
135.48
0.0001


32
0.4782
136.00
0.0399
0.4676
137.60
0.0407
0.4658
137.49
0.0003
0.4764
135.90
0.0001


33
0.4825
136.38
0.0396
0.4716
138.03
0.0404
0.4700
137.93
0.0002
0.4809
136.29
−0.0002


34
0.4866
136.73
0.0394
0.4755
138.45
0.0401
0.4741
138.36
0.0000
0.4852
136.66
0.0000


35
0.4905
137.09
0.0392
0.4796
138.81
0.0398
0.4783
138.74
0.0000
0.4892
137.04
0.0000


36
0.4943
137.44
0.0390
0.4835
139.16
0.0396
0.4824
139.10
0.0000
0.4932
137.40
0.0000


37
0.4981
137.77
0.0388
0.4874
139.49
0.0394
0.4865
139.45
0.0000
0.4972
137.75
0.0000


38
0.5018
138.10
0.0386
0.4913
139.81
0.0392
0.4905
139.78
0.0000
0.5011
138.09
0.0000


39
0.5055
138.41
0.0385
0.4951
140.11
0.0390
0.4944
140.10
0.0000
0.5049
138.41
0.0000


40
0.5662
142.79
0.0385
0.5557
144.31
0.0390
0.5551
144.31
0.0000
0.5655
142.80
0.0000
















TABLE 6







Volute Collector - First Volute Passage











Cross-section
θ
Rv/D
ha/D
ba/D


number
[deg]
[in/in]
[in/in]
[in/in]














1
15.00
0.5121
0.0015
0.1091


2
20.00
0.5121
0.0028
0.1091


3
25.00
0.5121
0.0040
0.1091


4
30.00
0.5121
0.0051
0.1091


5
35.00
0.5121
0.0061
0.1091


6
40.00
0.5121
0.0071
0.1091


7
45.00
0.5121
0.0081
0.1091


8
50.00
0.5121
0.0091
0.1091


9
55.00
0.5121
0.0101
0.1091


10
60.00
0.5121
0.0110
0.1091


11
65.00
0.5121
0.0120
0.1091


12
70.00
0.5121
0.0129
0.1091


13
75.00
0.5121
0.0138
0.1091


14
80.00
0.5121
0.0147
0.1091


15
85.00
0.5121
0.0157
0.1091


16
90.00
0.5121
0.0166
0.1091


17
95.00
0.5121
0.0175
0.1091


18
100.00
0.5121
0.0184
0.1091


19
105.00
0.5121
0.0193
0.1091


20
110.00
0.5121
0.0203
0.1091


21
115.00
0.5121
0.0212
0.1091


22
120.00
0.5121
0.0221
0.1091


23
125.00
0.5121
0.0231
0.1091


24
130.00
0.5121
0.0240
0.1091


25
135.00
0.5121
0.0249
0.1091


26
140.00
0.5121
0.0259
0.1091


27
145.00
0.5121
0.0268
0.1091


28
150.00
0.5121
0.0278
0.1091


29
155.00
0.5121
0.0288
0.1091


30
160.00
0.5121
0.0297
0.1091


31
165.00
0.5121
0.0307
0.1091


32
170.00
0.5121
0.0317
0.1091


33
175.00
0.5121
0.0327
0.1091


34
180.00
0.5121
0.0337
0.1091


35
185.00
0.5121
0.0348
0.1091


36
190.00
0.5121
0.0358
0.1091


37
195.00
0.5121
0.0369
0.1091
















TABLE 7







Volute Collector - Second Volute Passage











Cross-section
θ
Rv/D
hb/D
bb/D


number
[deg]
[in/in]
[in/in]
[in/in]














38
200.00
0.5121
0.0379
0.1091


39
205.00
0.5121
0.0390
0.1091


40
210.00
0.5121
0.0401
0.1091


41
215.00
0.5121
0.0412
0.1091


42
220.00
0.5121
0.0424
0.1091


43
225.00
0.5121
0.0435
0.1091


44
230.00
0.5121
0.0447
0.1091


45
235.00
0.5121
0.0458
0.1091


46
240.00
0.5121
0.0470
0.1091


47
245.00
0.5121
0.0482
0.1091


48
250.00
0.5121
0.0495
0.1091


49
255.00
0.5121
0.0507
0.1091


50
260.00
0.5121
0.0520
0.1091


51
265.00
0.5121
0.0532
0.1091


52
270.00
0.5121
0.0545
0.1091


53
275.00
0.5121
0.0559
0.1091


54
280.00
0.5121
0.0572
0.1091


55
285.00
0.5121
0.0585
0.1091


56
290.00
0.5121
0.0599
0.1091


57
295.00
0.5121
0.0613
0.1091


58
300.00
0.5121
0.0627
0.1091


59
305.00
0.5121
0.0642
0.1091


60
310.00
0.5121
0.0656
0.1091


61
315.00
0.5121
0.0672
0.1091


62
320.00
0.5121
0.0687
0.1091


63
325.00
0.5121
0.0702
0.1091


64
330.00
0.5121
0.0718
0.1091


65
335.00
0.5121
0.0733
0.1091


66
340.00
0.5121
0.0750
0.1091


67
345.00
0.5121
0.0766
0.1091


68
350.00
0.5121
0.0783
0.1091


69
355.00
0.5121
0.0799
0.1091


70
360.00
0.5121
0.0816
0.1091
















TABLE 8







Volute Collector - Exit Bend












Cross-section
φ
Rb/D
bc/D
hc/D
z-offset/D


number
[deg]
[in/in]
[in/in]
[in/in]
[in/in]















1
3.89
0.315
0.1646
0.1432
0.0000


2
7.78
0.315
0.1671
0.1468
0.0001


3
11.66
0.314
0.1696
0.1504
0.0004


4
15.55
0.314
0.1721
0.1541
0.0010


5
19.44
0.314
0.1746
0.1577
0.0019


6
23.33
0.314
0.1771
0.1613
0.0033


7
27.21
0.313
0.1796
0.1649
0.0052


8
31.10
0.313
0.1821
0.1686
0.0078


9
34.99
0.313
0.1846
0.1722
0.0111


10
38.88
0.313
0.1871
0.1758
0.0152


11
42.76
0.312
0.1896
0.1795
0.0202


12
46.65
0.312
0.1921
0.1831
0.0262


13
50.54
0.312
0.1946
0.1867
0.0333


14
54.43
0.312
0.1971
0.1904
0.0416


15
58.31
0.312
0.1996
0.1940
0.0511


16
62.20
0.311
0.2021
0.1976
0.0621


17
66.09
0.311
0.2046
0.2012
0.0744


18
69.98
0.311
0.2071
0.2049
0.0884


19
73.86
0.311
0.2096
0.2085
0.1039


20
77.75
0.310
0.2121
0.2121
0.1212









Tables 9-13 define blades 62, 64, 66, 68, and 70 in cylindrical coordinates (r, θ, z) for one embodiment of impeller 26. Tables 14-16 define first volute passage 88, second volute passage 90, and exit bend 94 for one embodiment of volute collector 50. In each embodiment, outer impeller diameter D equals 4.125 inches. Tables 9-16 are provided below.









TABLE 9







Inducer Section - Primary Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r
θ
z
r
θ
z
r
θ
z
r
θ
z


Number
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]






















1
0.9000
359.86
2.2039
0.9000
0.14
2.2239
0.3000
357.80
2.1961
0.3000
2.20
2.2321


2
0.9000
0.32
2.2020
0.9000
0.60
2.2228
0.3000
358.13
2.1934
0.3000
2.79
2.2316


3
0.9000
1.40
2.1980
0.9000
1.70
2.2195
0.3000
359.09
2.1885
0.3000
4.01
2.2290


4
0.9000
3.00
2.1922
0.9000
3.31
2.2145
0.3000
0.55
2.1818
0.3000
5.76
2.2246


5
0.9000
5.06
2.1849
0.9000
5.38
2.2080
0.3000
2.48
2.1736
0.3000
7.95
2.2185


6
0.9000
7.55
2.1762
0.9000
7.88
2.2001
0.3000
4.84
2.1638
0.3000
10.58
2.2110


7
0.9000
10.44
2.1661
0.9000
10.78
2.1908
0.3000
7.60
2.1527
0.3000
13.63
2.2021


8
0.9000
13.72
2.1548
0.9000
14.08
2.1802
0.3000
10.76
2.1402
0.3000
17.06
2.1919


9
0.9000
17.38
2.1422
0.9000
17.74
2.1683
0.3000
14.28
2.1264
0.3001
20.85
2.1804


10
0.9000
21.39
2.1284
0.9000
21.76
2.1553
0.3000
18.16
2.1114
0.3000
25.00
2.1676


11
0.9000
25.76
2.1134
0.9000
26.14
2.1411
0.3000
22.39
2.0952
0.3000
29.51
2.1536


12
0.9000
30.46
2.0973
0.8999
30.85
2.1257
0.3000
26.96
2.0778
0.3000
34.35
2.1385


13
0.9000
35.50
2.0800
0.8999
35.90
2.1093
0.3000
31.87
2.0592
0.3000
39.54
2.1222


14
0.9000
40.86
2.0617
0.9000
41.27
2.0917
0.3000
37.09
2.0395
0.3000
45.04
2.1047


15
0.9000
46.54
2.0423
0.9000
46.96
2.0731
0.3000
42.64
2.0187
0.3000
50.86
2.0862


16
0.9000
52.54
2.0219
0.9000
52.97
2.0535
0.3000
48.65
1.9980
0.3000
56.86
2.0654


17
0.9000
58.84
2.0005
0.9000
59.28
2.0328
0.3000
54.95
1.9762
0.3000
63.17
2.0436


18
0.9000
65.45
1.9780
0.9000
65.90
2.0111
0.3000
61.56
1.9533
0.3000
69.78
2.0208


19
0.9000
72.35
1.9546
0.9000
72.82
1.9884
0.3000
68.47
1.9294
0.3000
76.68
1.9969


20
0.9000
79.55
1.9301
0.9000
80.02
1.9647
0.3000
75.68
1.9045
0.3000
83.90
1.9720


21
0.9000
87.03
1.9047
0.9000
87.52
1.9401
0.3001
83.17
1.8786
0.2999
91.38
1.9461


22
0.9000
94.81
1.8783
0.9000
95.30
1.9145
0.3004
90.95
1.8517
0.2997
99.16
1.9192


23
0.9000
102.86
1.8510
0.9000
103.37
1.8879
0.3010
99.02
1.8239
0.2998
107.21
1.8913


24
0.9000
111.20
1.8228
0.9000
111.72
1.8605
0.3018
107.39
1.7950
0.3001
115.52
1.8625


25
0.9000
119.81
1.7936
0.9000
120.34
1.8321
0.3028
116.03
1.7652
0.3005
124.12
1.8327


26
0.9001
128.70
1.7639
0.9000
129.23
1.8024
0.3041
124.94
1.7344
0.3013
133.00
1.8020


27
0.9000
137.86
1.7333
0.9000
138.40
1.7718
0.3057
134.14
1.7027
0.3024
142.13
1.7704


28
0.8999
147.30
1.7019
0.9000
147.83
1.7403
0.3077
143.62
1.6701
0.3036
151.52
1.7378


29
0.9000
157.00
1.6695
0.9000
157.52
1.7079
0.3099
153.35
1.6365
0.3054
161.16
1.7043


30
0.9000
166.95
1.6362
0.9000
167.49
1.6746
0.3125
163.36
1.6020
0.3073
171.07
1.6699


31
0.9000
177.17
1.6021
0.9000
177.71
1.6405
0.3155
173.65
1.5666
0.3098
181.23
1.6346


32
0.9000
187.66
1.5671
0.9000
188.18
1.6055
0.3190
184.19
1.5303
0.3125
191.65
1.5985


33
0.9000
198.39
1.5313
0.9000
198.92
1.5696
0.3228
195.01
1.4932
0.3157
202.30
1.5614


34
0.9000
209.38
1.4946
0.9000
209.91
1.5329
0.3271
206.08
1.4551
0.3193
213.22
1.5235


35
0.9000
220.62
1.4570
0.9000
221.15
1.4953
0.3319
217.40
1.4162
0.3234
224.36
1.4847


36
0.9000
232.08
1.4186
0.9000
232.61
1.4569
0.3373
228.95
1.3764
0.3280
235.75
1.4450


37
0.9000
243.75
1.3794
0.9000
244.29
1.4177
0.3431
240.80
1.3366
0.3332
247.24
1.4035


38
0.9000
255.63
1.3394
0.9000
256.17
1.3776
0.3494
252.84
1.2960
0.3391
258.95
1.3612


39
0.9000
267.68
1.2986
0.9000
268.22
1.3367
0.3562
265.06
1.2546
0.3455
270.83
1.3180


40
0.9000
279.89
1.2569
0.9000
280.43
1.2950
0.3638
277.44
1.2123
0.3527
282.88
1.2740


41
0.9000
292.22
1.2144
0.9000
292.78
1.2525
0.3719
289.95
1.1692
0.3604
295.05
1.2291


42
0.9000
304.68
1.1712
0.9000
305.23
1.2091
0.3807
302.56
1.1253
0.3689
307.35
1.1834


43
0.9000
317.22
1.1271
0.9000
317.79
1.1650
0.3903
315.26
1.0805
0.3780
319.75
1.1369


44
0.9000
329.84
1.0822
0.9000
330.41
1.1201
0.4006
328.03
1.0350
0.3880
332.23
1.0895


45
0.9000
342.50
1.0366
0.9000
343.08
1.0743
0.4116
340.84
0.9886
0.3988
344.73
1.0413


46
0.9000
355.18
0.9901
0.9000
355.76
1.0278
0.4234
353.65
0.9415
0.4104
357.29
0.9923


47
0.9000
7.84
0.9429
0.8999
8.44
0.9805
0.4359
6.45
0.8934
0.4230
9.83
0.9425


48
0.9000
20.49
0.8949
0.9000
21.09
0.9326
0.4484
19.22
0.8445
0.4366
22.36
0.8920


49
0.9000
33.08
0.8462
0.9000
33.70
0.8838
0.4604
31.93
0.7948
0.4496
34.85
0.8407


50
0.9000
45.59
0.7967
0.9000
46.23
0.8343
0.4719
44.54
0.7443
0.4622
47.27
0.7885


51
0.9000
58.01
0.7464
0.9000
58.66
0.7840
0.4828
57.06
0.6931
0.4741
59.62
0.7356


52
0.9000
70.31
0.6954
0.9000
70.98
0.7330
0.4932
69.44
0.6411
0.4854
71.85
0.6818


53
0.9000
82.47
0.6436
0.9000
83.16
0.6811
0.5029
81.69
0.5883
0.4961
83.95
0.6272


54
0.9000
94.48
0.5910
0.9000
95.18
0.6286
0.5121
93.76
0.5348
0.5061
95.90
0.5719
















TABLE 10







Inducer Section - Secondary Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r
θ
z
r
θ
z
r
θ
z
r
θ
z


Number
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]






















1-43
0
0
0
0
0
0
0
0
0
0
0
0


44
0.9000
269.98
1.0920
0.9000
270.27
1.1109
0.3982
268.79
1.0450
0.3902
271.46
1.0795


45
0.9000
282.62
1.0449
0.9000
282.95
1.0665
0.4100
281.31
0.9952
0.4003
284.26
1.0347


46
0.9000
295.28
0.9971
0.9000
295.66
1.0213
0.4226
293.88
0.9447
0.4112
297.05
0.9890


47
0.9000
307.93
0.9485
0.9000
308.35
0.9753
0.4360
306.45
0.8933
0.4230
309.84
0.9426


48
0.9000
320.55
0.8991
0.9000
321.03
0.9287
0.4493
318.99
0.8410
0.4357
322.59
0.8955


49
0.9000
333.12
0.8490
0.9000
333.65
0.8812
0.4620
331.49
0.7878
0.4480
335.29
0.8476


50
0.9000
345.61
0.7981
0.9000
346.20
0.8330
0.4742
343.91
0.7339
0.4599
347.91
0.7989


51
0.9000
358.01
0.7464
0.9000
358.66
0.7840
0.4856
356.23
0.6792
0.4712
0.44
0.7494


52
0.9000
10.31
0.6954
0.9000
10.98
0.7330
0.4960
8.58
0.6263
0.4826
12.70
0.6966


53
0.9000
22.47
0.6436
0.9000
23.16
0.6811
0.5057
20.78
0.5726
0.4933
24.85
0.6430
















TABLE 11







Impeller Section - Main Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r
θ
z
r
θ
z
r
θ
z
r
θ
z


Number
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]






















1
0.9587
1.15
0.4740
0.9454
1.36
0.4885
0.7425
0.22
0.2149
0.7587
359.78
0.2049


2
0.9962
17.30
0.4426
0.9793
17.58
0.4573
0.8129
19.85
0.1805
0.8324
19.33
0.1712


3
1.0404
31.55
0.4116
1.0203
31.90
0.4263
0.8824
35.32
0.1530
0.9050
34.75
0.1444


4
1.0890
43.97
0.3824
1.0656
44.38
0.3970
0.9503
47.88
0.1306
0.9756
47.26
0.1225


5
1.1399
54.61
0.3559
1.1134
55.09
0.3702
1.0156
58.21
0.1120
1.0437
57.53
0.1043


6
1.1913
63.64
0.3322
1.1619
64.19
0.3462
1.0782
66.79
0.0964
1.1086
66.05
0.0890


7
1.2423
71.27
0.3113
1.2101
71.89
0.3250
1.1375
73.96
0.0832
1.1704
73.16
0.0761


8
1.2918
77.71
0.2930
1.2569
78.39
0.3064
1.1935
79.99
0.0720
1.2287
79.14
0.0652


9
1.3396
83.15
0.2770
1.3022
83.90
0.2900
1.2463
85.10
0.0625
1.2837
84.19
0.0559


10
1.3853
87.77
0.2630
1.3454
88.59
0.2757
1.2958
89.46
0.0543
1.3354
88.49
0.0480


11
1.4287
91.69
0.2508
1.3867
92.58
0.2631
1.3422
93.19
0.0472
1.3839
92.16
0.0412


12
1.4699
95.04
0.2401
1.4257
96.01
0.2521
1.3858
96.41
0.0412
1.4293
95.31
0.0353


13
1.5090
97.92
0.2308
1.4629
98.96
0.2423
1.4266
99.21
0.0359
1.4722
98.04
0.0303


14
1.5460
100.41
0.2225
1.4979
101.53
0.2338
1.4651
101.64
0.0313
1.5124
100.42
0.0260


15
1.5811
102.56
0.2153
1.5311
103.76
0.2261
1.5011
103.79
0.0273
1.5503
102.49
0.0222


16
1.6143
104.44
0.2089
1.5627
105.71
0.2194
1.5353
105.67
0.0238
1.5860
104.31
0.0189


17
1.6458
106.08
0.2032
1.5925
107.43
0.2134
1.5674
107.35
0.0208
1.6196
105.91
0.0161


18
1.6756
107.52
0.1982
1.6210
108.96
0.2080
1.5979
108.84
0.0181
1.6516
107.33
0.0137


19
1.7040
108.79
0.1937
1.6481
110.31
0.2031
1.6268
110.17
0.0157
1.6818
108.59
0.0115


20
1.7311
109.92
0.1897
1.6739
111.52
0.1987
1.6542
111.37
0.0136
1.7105
109.72
0.0097


21
1.7559
110.96
0.1863
1.6996
112.57
0.1947
1.6814
112.42
0.0117
1.7368
110.76
0.0081


22
1.7797
111.90
0.1832
1.7242
113.52
0.1910
1.7075
113.37
0.0100
1.7619
111.69
0.0068


23
1.8024
112.75
0.1804
1.7477
114.39
0.1876
1.7323
114.23
0.0085
1.7859
112.55
0.0056


24
1.8242
113.53
0.1779
1.7705
115.18
0.1846
1.7561
115.02
0.0072
1.8089
113.33
0.0046


25
1.8452
114.24
0.1756
1.7923
115.91
0.1818
1.7791
115.74
0.0060
1.8310
114.05
0.0037


26
1.8654
114.90
0.1735
1.8134
116.57
0.1793
1.8012
116.40
0.0050
1.8524
114.71
0.0029


27
1.8849
115.50
0.1717
1.8338
117.19
0.1770
1.8225
117.02
0.0041
1.8730
115.32
0.0022


28
1.9038
116.06
0.1699
1.8535
117.75
0.1749
1.8431
117.59
0.0033
1.8928
115.89
0.0017


29
1.9222
116.58
0.1684
1.8727
118.28
0.1730
1.8632
118.13
0.0027
1.9121
116.43
0.0012


30
1.9400
117.07
0.1670
1.8914
118.77
0.1712
1.8826
118.63
0.0021
1.9308
116.93
0.0008


31
1.9574
117.52
0.1657
1.9095
119.23
0.1696
1.9015
119.10
0.0016
1.9491
117.40
0.0005


32
1.9743
117.94
0.1645
1.9273
119.66
0.1681
1.9199
119.54
0.0011
1.9669
117.84
0.0003


33
1.9910
118.35
0.1634
1.9446
120.06
0.1668
1.9380
119.96
0.0009
1.9843
118.26
−0.0009


34
2.0072
118.73
0.1625
1.9616
120.45
0.1655
1.9557
120.36
0.0000
2.0014
118.66
0.0000


35
2.0233
119.09
0.1616
1.9783
120.81
0.1644
1.9730
120.74
0.0000
2.0181
119.04
0.0000


36
2.0390
119.44
0.1608
1.9946
121.16
0.1633
1.9900
121.10
0.0000
2.0345
119.40
0.0000


37
2.0546
119.77
0.1600
2.0108
121.49
0.1624
2.0067
121.45
0.0000
2.0508
119.75
0.0000


38
2.0701
120.10
0.1594
2.0266
121.81
0.1615
2.0233
121.78
0.0000
2.0669
120.09
0.0000


39
2.0853
120.41
0.1588
2.0424
122.11
0.1607
2.0396
122.10
0.0000
2.0827
120.41
0.0000


40
2.3354
124.79
0.1588
2.2924
126.31
0.1607
2.2896
126.31
0.0000
2.3326
124.80
0.0000
















TABLE 12







Impeller Section - Primary Splitter Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r
θ
z
r
θ
z
r
θ
z
r
θ
z


Number
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]






















1-4
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


5
1.1351
90.70
0.3585
1.1183
91.00
0.3676
1.0208
94.09
0.1106
1.0385
93.66
0.1057


6
1.1861
99.74
0.3347
1.1672
100.09
0.3437
1.0836
102.66
0.0951
1.1032
102.18
0.0903


7
1.2366
107.38
0.3137
1.2157
107.78
0.3226
1.1433
109.82
0.0820
1.1646
109.30
0.0774


8
1.2858
113.83
0.2953
1.2630
114.27
0.3040
1.1996
115.85
0.0708
1.2226
115.29
0.0664


9
1.3332
119.28
0.2792
1.3085
119.77
0.2878
1.2526
120.95
0.0614
1.2773
120.35
0.0570


10
1.3785
123.90
0.2651
1.3521
124.44
0.2735
1.3024
125.30
0.0532
1.3287
124.65
0.0490


11
1.4217
127.83
0.2528
1.3936
128.43
0.2610
1.3491
129.02
0.0462
1.3769
128.33
0.0422


12
1.4627
131.20
0.2421
1.4330
131.85
0.2501
1.3929
132.23
0.0402
1.4222
131.49
0.0363


13
1.5015
134.09
0.2326
1.4703
134.79
0.2405
1.4340
135.02
0.0350
1.4647
134.23
0.0312


14
1.5383
136.58
0.2243
1.5057
137.34
0.2319
1.4727
137.45
0.0305
1.5047
136.61
0.0268


15
1.5731
138.75
0.2170
1.5391
139.56
0.2244
1.5090
139.58
0.0265
1.5424
138.69
0.0230


16
1.6061
140.63
0.2106
1.5709
141.50
0.2177
1.5433
141.46
0.0231
1.5779
140.52
0.0197


17
1.6374
142.29
0.2048
1.6010
143.21
0.2118
1.5756
143.12
0.0200
1.6114
142.13
0.0169


18
1.6671
143.74
0.1997
1.6296
144.73
0.2064
1.6063
144.60
0.0174
1.6431
143.56
0.0144


19
1.6953
145.02
0.1952
1.6568
146.07
0.2016
1.6353
145.93
0.0151
1.6732
144.83
0.0122


20
1.7222
146.16
0.1911
1.6828
147.27
0.1973
1.6629
147.12
0.0130
1.7018
145.97
0.0103


21
1.7480
147.18
0.1874
1.7075
148.33
0.1935
1.6893
148.19
0.0112
1.7290
146.99
0.0086


22
1.7726
148.10
0.1842
1.7312
149.31
0.1900
1.7144
149.16
0.0096
1.7550
147.91
0.0072


23
1.7963
148.93
0.1812
1.7539
150.20
0.1868
1.7384
150.04
0.0082
1.7799
148.74
0.0059


24
1.8189
149.69
0.1785
1.7757
151.01
0.1839
1.7614
150.85
0.0069
1.8037
149.49
0.0048


25
1.8407
150.38
0.1761
1.7968
151.76
0.1813
1.7835
151.60
0.0058
1.8267
150.19
0.0039


26
1.8617
151.01
0.1739
1.8170
152.45
0.1789
1.8048
152.29
0.0049
1.8488
150.83
0.0030


27
1.8820
151.59
0.1720
1.8367
153.09
0.1767
1.8254
152.93
0.0040
1.8701
151.42
0.0024


28
1.9017
152.13
0.1702
1.8557
153.68
0.1747
1.8452
153.52
0.0033
1.8907
151.96
0.0018


29
1.9207
152.63
0.1685
1.8741
154.23
0.1728
1.8645
154.08
0.0026
1.9107
152.47
0.0013


30
1.9393
153.09
0.1670
1.8921
154.74
0.1712
1.8833
154.61
0.0020
1.9302
152.95
0.0009


31
1.9574
153.52
0.1657
1.9096
155.23
0.1696
1.9015
155.10
0.0016
1.9491
153.40
0.0005


32
1.9743
153.95
0.1645
1.9273
155.66
0.1681
1.9199
155.54
0.0011
1.9669
153.84
0.0003


33
1.9909
154.35
0.1634
1.9446
156.06
0.1668
1.9380
155.96
0.0009
1.9843
154.26
−0.0009


34
2.0072
154.73
0.1625
1.9616
156.45
0.1655
1.9556
156.36
0.0000
2.0014
154.66
0.0000


35
2.0233
155.09
0.1616
1.9782
156.81
0.1644
1.9730
156.74
0.0000
2.0181
155.04
0.0000


36
2.0390
155.44
0.1608
1.9946
157.16
0.1633
1.9900
157.10
0.0000
2.0346
155.40
0.0000


37
2.0546
155.77
0.1600
2.0107
157.49
0.1624
2.0068
157.45
0.0000
2.0508
155.75
0.0000


38
2.0700
156.10
0.1594
2.0266
157.81
0.1615
2.0233
157.78
0.0000
2.0668
156.09
0.0000


39
2.0854
156.41
0.1588
2.0424
158.11
0.1607
2.0396
158.10
0.0000
2.0826
156.41
0.0000


40
2.3354
160.79
0.1588
2.2924
162.31
0.1607
2.2896
162.31
0.0000
2.3326
160.80
0.0000
















TABLE 13







Impeller Section - Secondary Splitter Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
r
θ
z
r
θ
z
r
θ
z
r
θ
z


Number
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]
[in]
[deg]
[in]






















1-11
0
0
0
0
0
0
0
0
0
0
0
0


12
1.4564
113.33
0.2438
1.4393
113.71
0.2484
1.3991
114.08
0.0394
1.4160
113.65
0.0371


13
1.4954
116.22
0.2342
1.4764
116.65
0.2389
1.4400
116.87
0.0342
1.4587
116.39
0.0319


14
1.5324
118.72
0.2257
1.5115
119.20
0.2306
1.4784
119.30
0.0298
1.4990
118.76
0.0275


15
1.5675
120.88
0.2182
1.5448
121.42
0.2232
1.5146
121.43
0.0259
1.5369
120.84
0.0236


16
1.6007
122.77
0.2117
1.5763
123.37
0.2166
1.5486
123.31
0.0226
1.5726
122.66
0.0202


17
1.6322
124.42
0.2058
1.6061
125.08
0.2108
1.5807
124.98
0.0196
1.6063
124.27
0.0173


18
1.6621
125.87
0.2006
1.6345
126.59
0.2055
1.6111
126.47
0.0170
1.6383
125.70
0.0148


19
1.6906
127.15
0.1960
1.6615
127.94
0.2008
1.6399
127.79
0.0147
1.6686
126.97
0.0125


20
1.7178
128.28
0.1918
1.6873
129.14
0.1966
1.6673
128.99
0.0127
1.6974
128.10
0.0106


21
1.7437
129.29
0.1881
1.7118
130.21
0.1928
1.6934
130.06
0.0109
1.7248
129.11
0.0089


22
1.7686
130.21
0.1847
1.7352
131.19
0.1894
1.7183
131.04
0.0094
1.7510
130.03
0.0074


23
1.7924
131.04
0.1817
1.7578
132.08
0.1863
1.7421
131.92
0.0080
1.7761
130.85
0.0061


24
1.8153
131.80
0.1790
1.7794
132.90
0.1835
1.7650
132.74
0.0068
1.8001
131.61
0.0050


25
1.8372
132.49
0.1765
1.8002
133.65
0.1809
1.7869
133.49
0.0057
1.8233
132.30
0.0040


26
1.8585
133.12
0.1743
1.8203
134.34
0.1785
1.8080
134.18
0.0047
1.8456
132.93
0.0032


27
1.8789
133.69
0.1723
1.8398
134.98
0.1764
1.8284
134.82
0.0039
1.8671
133.52
0.0025


28
1.8988
134.23
0.1704
1.8586
135.58
0.1744
1.8481
135.43
0.0032
1.8879
134.06
0.0019


29
1.9180
134.72
0.1688
1.8769
136.13
0.1726
1.8672
135.99
0.0025
1.9080
134.57
0.0013


30
1.9367
135.18
0.1673
1.8946
136.65
0.1709
1.8858
136.52
0.0020
1.9276
135.04
0.0009


31
1.9550
135.60
0.1659
1.9120
137.14
0.1694
1.9039
137.01
0.0015
1.9467
135.48
0.0006


32
1.9728
136.00
0.1646
1.9289
137.60
0.1680
1.9215
137.49
0.0011
1.9653
135.90
0.0003


33
1.9902
136.38
0.1635
1.9454
138.03
0.1667
1.9388
137.93
0.0009
1.9835
136.29
−0.0009


34
2.0072
136.73
0.1625
1.9616
138.45
0.1655
1.9556
138.36
0.0000
2.0014
136.66
0.0000


35
2.0233
137.09
0.1616
1.9782
138.81
0.1644
1.9730
138.74
0.0000
2.0181
137.04
0.0000


36
2.0390
137.44
0.1608
1.9946
139.16
0.1633
1.9900
139.10
0.0000
2.0346
137.40
0.0000


37
2.0546
137.77
0.1600
2.0107
139.49
0.1624
2.0068
139.45
0.0000
2.0508
137.75
0.0000


38
2.0700
138.10
0.1594
2.0266
139.81
0.1615
2.0233
139.78
0.0000
2.0668
138.09
0.0000


39
2.0854
138.41
0.1588
2.0424
140.11
0.1607
2.0396
140.10
0.0000
2.0826
138.41
0.0000


40
2.3354
142.79
0.1588
2.2924
144.31
0.1607
2.2896
144.31
0.0000
2.3326
142.80
0.0000
















TABLE 14







Volute Collector - First Volute Passage











Cross-section
θ
Rv
ha
ba


number
[deg]
[in]
[in]
[in]














1
15.00
2.1125
0.0063
0.4500


2
20.00
2.1125
0.0116
0.4500


3
25.00
2.1125
0.0163
0.4500


4
30.00
2.1125
0.0209
0.4500


5
35.00
2.1125
0.0252
0.4500


6
40.00
2.1125
0.0294
0.4500


7
45.00
2.1125
0.0335
0.4500


8
50.00
2.1125
0.0376
0.4500


9
55.00
2.1125
0.0415
0.4500


10
60.00
2.1125
0.0455
0.4500


11
65.00
2.1125
0.0493
0.4500


12
70.00
2.1125
0.0532
0.4500


13
75.00
2.1125
0.0570
0.4500


14
80.00
2.1125
0.0608
0.4500


15
85.00
2.1125
0.0647
0.4500


16
90.00
2.1125
0.0684
0.4500


17
95.00
2.1125
0.0722
0.4500


18
100.00
2.1125
0.0760
0.4500


19
105.00
2.1125
0.0798
0.4500


20
110.00
2.1125
0.0836
0.4500


21
115.00
2.1125
0.0874
0.4500


22
120.00
2.1125
0.0913
0.4500


23
125.00
2.1125
0.0951
0.4500


24
130.00
2.1125
0.0990
0.4500


25
135.00
2.1125
0.1029
0.4500


26
140.00
2.1125
0.1068
0.4500


27
145.00
2.1125
0.1107
0.4500


28
150.00
2.1125
0.1147
0.4500


29
155.00
2.1125
0.1187
0.4500


30
160.00
2.1125
0.1227
0.4500


31
165.00
2.1125
0.1268
0.4500


32
170.00
2.1125
0.1309
0.4500


33
175.00
2.1125
0.1350
0.4500


34
180.00
2.1125
0.1392
0.4500


35
185.00
2.1125
0.1434
0.4500


36
190.00
2.1125
0.1477
0.4500


37
195.00
2.1125
0.1521
0.4500
















TABLE 15







Volute Collector - Second Volute Passage











Cross-section
θ
Rv
hb
bb


number
[deg]
[in]
[in]
[in]














38
200.00
2.1125
0.1565
0.4500


39
205.00
2.1125
0.1609
0.4500


40
210.00
2.1125
0.1654
0.4500


41
215.00
2.1125
0.1700
0.4500


42
220.00
2.1125
0.1747
0.4500


43
225.00
2.1125
0.1794
0.4500


44
230.00
2.1125
0.1842
0.4500


45
235.00
2.1125
0.1890
0.4500


46
240.00
2.1125
0.1939
0.4500


47
245.00
2.1125
0.1989
0.4500


48
250.00
2.1125
0.2040
0.4500


49
255.00
2.1125
0.2091
0.4500


50
260.00
2.1125
0.2143
0.4500


51
265.00
2.1125
0.2196
0.4500


52
270.00
2.1125
0.2249
0.4500


53
275.00
2.1125
0.2304
0.4500


54
280.00
2.1125
0.2359
0.4500


55
285.00
2.1125
0.2415
0.4500


56
290.00
2.1125
0.2472
0.4500


57
295.00
2.1125
0.2530
0.4500


58
300.00
2.1125
0.2588
0.4500


59
305.00
2.1125
0.2648
0.4500


60
310.00
2.1125
0.2708
0.4500


61
315.00
2.1125
0.2770
0.4500


62
320.00
2.1125
0.2832
0.4500


63
325.00
2.1125
0.2895
0.4500


64
330.00
2.1125
0.2960
0.4500


65
335.00
2.1125
0.3025
0.4500


66
340.00
2.1125
0.3092
0.4500


67
345.00
2.1125
0.3159
0.4500


68
350.00
2.1125
0.3228
0.4500


69
355.00
2.1125
0.3297
0.4500


70
360.00
2.1125
0.3368
0.4500
















TABLE 16







Volute Collector - Exit Bend












Cross-section
φ
Rb
bc
hc
z-offset


number
[deg]
[in]
[in]
[in]
[in]















1
3.89
1.299
0.6790
0.5906
0.0001


2
7.78
1.298
0.6893
0.6055
0.0005


3
11.66
1.297
0.6996
0.6205
0.0017


4
15.55
1.296
0.7100
0.6355
0.0040


5
19.44
1.295
0.7203
0.6505
0.0078


6
23.33
1.294
0.7306
0.6654
0.0135


7
27.21
1.293
0.7409
0.6804
0.0214


8
31.10
1.292
0.7512
0.6954
0.0320


9
34.99
1.291
0.7615
0.7103
0.0456


10
38.88
1.290
0.7719
0.7253
0.0625


11
42.76
1.289
0.7822
0.7403
0.0832


12
46.65
1.288
0.7925
0.7552
0.1080


13
50.54
1.287
0.8028
0.7702
0.1373


14
54.43
1.286
0.8131
0.7852
0.1715


15
58.31
1.285
0.8234
0.8002
0.2109


16
62.20
1.284
0.8337
0.8151
0.2560


17
66.09
1.283
0.8441
0.8301
0.3071


18
69.98
1.282
0.8544
0.8451
0.3645


19
73.86
1.281
0.8647
0.8600
0.4287


20
77.75
1.280
0.8750
0.8750
0.5000









Tables 17-21 define blades 62, 64, 66, 68, and 70 in Cartesian coordinates (x, y, z) for one embodiment of impeller 26 in which outer impeller diameter D equals 4.125 inches. Tables 17-21 are provided below.









TABLE 17







Inducer Section - Primary Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
x
y
z
x
y
z
x
y
z
x
y
z


Number
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]






















1
0.9000
−0.0022
2.2039
0.9000
0.0022
2.2239
0.2998
−0.0115
2.1961
0.2998
0.0115
2.2321


2
0.9000
0.0050
2.2020
0.8999
0.0095
2.2228
0.2998
−0.0098
2.1934
0.2996
0.0146
2.2316


3
0.8997
0.0220
2.1980
0.8996
0.0267
2.2195
0.3000
−0.0048
2.1885
0.2993
0.0210
2.2290


4
0.8988
0.0471
2.1922
0.8985
0.0519
2.2145
0.3000
0.0029
2.1818
0.2985
0.0301
2.2246


5
0.8965
0.0794
2.1849
0.8960
0.0844
2.2080
0.2997
0.0130
2.1736
0.2971
0.0415
2.2185


6
0.8922
0.1183
2.1762
0.8915
0.1234
2.2001
0.2989
0.0253
2.1638
0.2949
0.0551
2.2110


7
0.8851
0.1631
2.1661
0.8841
0.1684
2.1908
0.2974
0.0397
2.1527
0.2916
0.0707
2.2021


8
0.8743
0.2135
2.1548
0.8730
0.2189
2.1802
0.2947
0.0560
2.1402
0.2868
0.0880
2.1919


9
0.8589
0.2688
2.1422
0.8572
0.2742
2.1683
0.2907
0.0740
2.1264
0.2804
0.1068
2.1804


10
0.8380
0.3283
2.1284
0.8359
0.3337
2.1553
0.2851
0.0935
2.1114
0.2719
0.1268
2.1676


11
0.8106
0.3911
2.1134
0.8080
0.3965
2.1411
0.2774
0.1143
2.0952
0.2611
0.1478
2.1536


12
0.7758
0.4563
2.0973
0.7726
0.4615
2.1257
0.2674
0.1360
2.0778
0.2477
0.1693
2.1385


13
0.7327
0.5226
2.0800
0.7290
0.5277
2.1093
0.2548
0.1584
2.0592
0.2314
0.1910
2.1222


14
0.6807
0.5888
2.0617
0.6764
0.5937
2.0917
0.2393
0.1809
2.0395
0.2120
0.2123
2.1047


15
0.6190
0.6533
2.0423
0.6142
0.6578
2.0731
0.2207
0.2032
2.0187
0.1894
0.2327
2.0862


16
0.5474
0.7144
2.0219
0.5420
0.7185
2.0535
0.1982
0.2252
1.9980
0.1640
0.2512
2.0654


17
0.4657
0.7701
2.0005
0.4597
0.7737
2.0328
0.1723
0.2456
1.9762
0.1354
0.2677
2.0436


18
0.3740
0.8186
1.9780
0.3675
0.8215
2.0111
0.1429
0.2638
1.9533
0.1037
0.2815
2.0208


19
0.2729
0.8576
1.9546
0.2659
0.8598
1.9884
0.1101
0.2791
1.9294
0.0691
0.2919
1.9969


20
0.1633
0.8851
1.9301
0.1560
0.8864
1.9647
0.0742
0.2907
1.9045
0.0319
0.2983
1.9720


21
0.0466
0.8988
1.9047
0.0390
0.8992
1.9401
0.0357
0.2980
1.8786
−0.0072
0.2998
1.9461


22
−0.0754
0.8968
1.8783
−0.0832
0.8961
1.9145
−0.0050
0.3004
1.8517
−0.0477
0.2959
1.9192


23
−0.2003
0.8774
1.8510
−0.2081
0.8756
1.8879
−0.0472
0.2973
1.8239
−0.0887
0.2864
1.8913


24
−0.3254
0.8391
1.8228
−0.3330
0.8361
1.8605
−0.0902
0.2880
1.7950
−0.1293
0.2708
1.8625


25
−0.4474
0.7809
1.7936
−0.4546
0.7767
1.8321
−0.1329
0.2721
1.7652
−0.1686
0.2488
1.8327


26
−0.5628
0.7024
1.7639
−0.5692
0.6971
1.8024
−0.1742
0.2493
1.7344
−0.2055
0.2204
1.8020


27
−0.6674
0.6038
1.7333
−0.6730
0.5976
1.7718
−0.2129
0.2194
1.7027
−0.2387
0.1856
1.7704


28
−0.7573
0.4862
1.7019
−0.7618
0.4792
1.7403
−0.2477
0.1825
1.6701
−0.2669
0.1448
1.7378


29
−0.8284
0.3517
1.6695
−0.8316
0.3441
1.7079
−0.2770
0.1390
1.6365
−0.2890
0.0986
1.7043


30
−0.8768
0.2032
1.6362
−0.8786
0.1950
1.6746
−0.2994
0.0895
1.6020
−0.3036
0.0477
1.6699


31
−0.8989
0.0444
1.6021
−0.8993
0.0360
1.6405
−0.3136
0.0349
1.5666
−0.3097
−0.0067
1.6346


32
−0.8920
−0.1199
1.5671
−0.8908
−0.1281
1.6055
−0.3181
−0.0233
1.5303
−0.3061
−0.0631
1.5985


33
−0.8540
−0.2839
1.5313
−0.8514
−0.2918
1.5696
−0.3118
−0.0836
1.4932
−0.2921
−0.1198
1.5614


34
−0.7842
−0.4416
1.4946
−0.7801
−0.4488
1.5329
−0.2938
−0.1438
1.4551
−0.2671
−0.1749
1.5235


35
−0.6832
−0.5859
1.4570
−0.6777
−0.5922
1.4953
−0.2637
−0.2016
1.4162
−0.2312
−0.2261
1.4847


36
−0.5531
−0.7100
1.4186
−0.5465
−0.7151
1.4569
−0.2215
−0.2544
1.3764
−0.1846
−0.2711
1.4450


37
−0.3980
−0.8072
1.3794
−0.3904
−0.8109
1.4177
−0.1674
−0.2995
1.3366
−0.1289
−0.3073
1.4035


38
−0.2234
−0.8718
1.3394
−0.2152
−0.8739
1.3776
−0.1031
−0.3338
1.2960
−0.0650
−0.3328
1.3612


39
−0.0365
−0.8993
1.2986
−0.0280
−0.8996
1.3367
−0.0307
−0.3549
1.2546
0.0050
−0.3455
1.3180


40
0.1545
−0.8866
1.2569
0.1629
−0.8851
1.2950
0.0471
−0.3607
1.2123
0.0786
−0.3438
1.2740


41
0.3404
−0.8331
1.2144
0.3484
−0.8298
1.2525
0.1269
−0.3496
1.1692
0.1526
−0.3265
1.2291


42
0.5121
−0.7401
1.1712
0.5192
−0.7351
1.2091
0.2049
−0.3209
1.1253
0.2238
−0.2932
1.1834


43
0.6606
−0.6112
1.1271
0.6666
−0.6047
1.1650
0.2772
−0.2747
1.0805
0.2885
−0.2442
1.1369


44
0.7782
−0.4522
1.0822
0.7826
−0.4444
1.1201
0.3398
−0.2121
1.0350
0.3433
−0.1808
1.0895


45
0.8583
−0.2707
1.0366
0.8610
−0.2620
1.0743
0.3888
−0.1351
0.9886
0.3847
−0.1050
1.0413


46
0.8968
−0.0757
0.9901
0.8975
−0.0665
1.0278
0.4208
−0.0468
0.9415
0.4099
−0.0194
0.9923


47
0.8916
0.1228
0.9429
0.8902
0.1321
0.9805
0.4331
0.0490
0.8934
0.4168
0.0722
0.9425


48
0.8431
0.3150
0.8949
0.8397
0.3239
0.9326
0.4234
0.1476
0.8445
0.4038
0.1661
0.8920


49
0.7541
0.4912
0.8462
0.7488
0.4993
0.8838
0.3907
0.2435
0.7948
0.3690
0.2569
0.8407


50
0.6298
0.6429
0.7967
0.6226
0.6499
0.8343
0.3363
0.3310
0.7443
0.3136
0.3395
0.7885


51
0.4768
0.7633
0.7464
0.4681
0.7687
0.7840
0.2625
0.4052
0.6931
0.2398
0.4090
0.7356


52
0.3032
0.8474
0.6954
0.2933
0.8509
0.7330
0.1732
0.4618
0.6411
0.1512
0.4612
0.6818


53
0.1179
0.8922
0.6436
0.1072
0.8936
0.6811
0.0727
0.4976
0.5883
0.0523
0.4933
0.6272


54
−0.0703
0.8973
0.5910
−0.0813
0.8963
0.6286
−0.0336
0.5110
0.5348
−0.0520
0.5034
0.5719
















TABLE 18







Inducer Section - Secondary Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
x
y
z
x
y
z
x
y
z
x
y
z


Number
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]






















1-43
0
0
0
0
0
0
0
0
0
0
0
0


44
−0.0003
−0.9000
1.0920
0.0042
−0.9000
1.1109
−0.0084
−0.3981
1.0450
0.0099
−0.3901
1.0795


45
0.1966
−0.8783
1.0449
0.2017
−0.8771
1.0665
0.0804
−0.4020
0.9952
0.0986
−0.3880
1.0347


46
0.3843
−0.8138
0.9971
0.3897
−0.8113
1.0213
0.1711
−0.3864
0.9447
0.1870
−0.3662
0.9890


47
0.5532
−0.7099
0.9485
0.5585
−0.7058
0.9753
0.2590
−0.3507
0.8933
0.2710
−0.3248
0.9426


48
0.6950
−0.5718
0.8991
0.6997
−0.5660
0.9287
0.3390
−0.2948
0.8410
0.3461
−0.2647
0.8955


49
0.8028
−0.4069
0.8490
0.8065
−0.3994
0.8812
0.4060
−0.2205
0.7878
0.4070
−0.1873
0.8476


50
0.8718
−0.2236
0.7981
0.8740
−0.2146
0.8330
0.4556
−0.1314
0.7339
0.4497
−0.0963
0.7989


51
0.8995
−0.0312
0.7464
0.8998
−0.0210
0.7840
0.4846
−0.0319
0.6792
0.4712
0.0036
0.7494


52
0.8855
0.1611
0.6954
0.8835
0.1714
0.7330
0.4904
0.0740
0.6263
0.4708
0.1061
0.6966


53
0.8317
0.3440
0.6436
0.8275
0.3539
0.6811
0.4728
0.1794
0.5726
0.4476
0.2073
0.6430
















TABLE 19







Impeller Section - Main Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
x
y
z
x
y
z
x
y
z
x
y
z


Number
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]






















1
0.9585
0.0192
0.4740
0.9451
0.0224
0.4885
0.7425
0.0029
0.2149
0.7587
−0.0030
0.2049


2
0.9511
0.2962
0.4426
0.9336
0.2958
0.4573
0.7646
0.2760
0.1805
0.7855
0.2756
0.1712


3
0.8866
0.5444
0.4116
0.8662
0.5391
0.4263
0.7200
0.5102
0.1530
0.7436
0.5159
0.1444


4
0.7838
0.7561
0.3824
0.7616
0.7453
0.3970
0.6373
0.7049
0.1306
0.6622
0.7165
0.1225


5
0.6601
0.9293
0.3559
0.6372
0.9130
0.3702
0.5350
0.8633
0.1120
0.5603
0.8805
0.1043


6
0.5289
1.0675
0.3322
0.5059
1.0460
0.3462
0.4249
0.9909
0.0964
0.4500
1.0132
0.0890


7
0.3988
1.1765
0.3113
0.3762
1.1501
0.3250
0.3143
1.0932
0.0832
0.3390
1.1202
0.0761


8
0.2749
1.2622
0.2930
0.2529
1.2312
0.3064
0.2074
1.1753
0.0720
0.2315
1.2067
0.0652


9
0.1597
1.3300
0.2770
0.1383
1.2948
0.2900
0.1064
1.2417
0.0625
0.1299
1.2771
0.0559


10
0.0540
1.3842
0.2630
0.0332
1.3450
0.2757
0.0123
1.2957
0.0543
0.0353
1.3349
0.0480


11
−0.0421
1.4281
0.2508
−0.0624
1.3853
0.2631
−0.0747
1.3401
0.0472
−0.0521
1.3829
0.0412


12
−0.1292
1.4642
0.2401
−0.1492
1.4179
0.2521
−0.1548
1.3771
0.0412
−0.1324
1.4232
0.0353


13
−0.2080
1.4946
0.2308
−0.2279
1.4450
0.2423
−0.2283
1.4082
0.0359
−0.2060
1.4577
0.0303


14
−0.2793
1.5206
0.2225
−0.2993
1.4677
0.2338
−0.2957
1.4349
0.0313
−0.2735
1.4875
0.0260


15
−0.3439
1.5432
0.2153
−0.3641
1.4872
0.2261
−0.3577
1.4579
0.0273
−0.3352
1.5136
0.0222


16
−0.4025
1.5633
0.2089
−0.4232
1.5043
0.2194
−0.4147
1.4782
0.0238
−0.3919
1.5368
0.0189


17
−0.4558
1.5814
0.2032
−0.4771
1.5194
0.2134
−0.4673
1.4961
0.0208
−0.4440
1.5576
0.0161


18
−0.5044
1.5979
0.1982
−0.5266
1.5331
0.2080
−0.5159
1.5123
0.0181
−0.4919
1.5766
0.0137


19
−0.5489
1.6132
0.1937
−0.5721
1.5456
0.2031
−0.5609
1.5270
0.0157
−0.5362
1.5940
0.0115


20
−0.5897
1.6276
0.1897
−0.6141
1.5572
0.1987
−0.6028
1.5405
0.0136
−0.5771
1.6102
0.0097


21
−0.6280
1.6398
0.1863
−0.6523
1.5694
0.1947
−0.6413
1.5543
0.0117
−0.6155
1.6241
0.0081


22
−0.6637
1.6513
0.1832
−0.6881
1.5809
0.1910
−0.6773
1.5674
0.0100
−0.6513
1.6371
0.0068


23
−0.6970
1.6622
0.1804
−0.7217
1.5917
0.1876
−0.7109
1.5797
0.0085
−0.6849
1.6494
0.0056


24
−0.7283
1.6725
0.1779
−0.7533
1.6022
0.1846
−0.7426
1.5914
0.0072
−0.7164
1.6610
0.0046


25
−0.7576
1.6825
0.1756
−0.7831
1.6122
0.1818
−0.7726
1.6026
0.0060
−0.7461
1.6721
0.0037


26
−0.7853
1.6920
0.1735
−0.8112
1.6218
0.1793
−0.8010
1.6133
0.0050
−0.7743
1.6828
0.0029


27
−0.8115
1.7013
0.1717
−0.8378
1.6312
0.1770
−0.8280
1.6236
0.0041
−0.8011
1.6930
0.0022


28
−0.8364
1.7102
0.1699
−0.8631
1.6403
0.1749
−0.8537
1.6335
0.0033
−0.8266
1.7028
0.0017


29
−0.8601
1.7190
0.1684
−0.8872
1.6492
0.1730
−0.8784
1.6431
0.0027
−0.8510
1.7123
0.0012


30
−0.8827
1.7275
0.1670
−0.9103
1.6579
0.1712
−0.9020
1.6524
0.0021
−0.8744
1.7215
0.0008


31
−0.9044
1.7359
0.1657
−0.9324
1.6664
0.1696
−0.9247
1.6615
0.0016
−0.8969
1.7305
0.0005


32
−0.9252
1.7441
0.1645
−0.9537
1.6748
0.1681
−0.9467
1.6703
0.0011
−0.9185
1.7393
0.0003


33
−0.9454
1.7522
0.1634
−0.9742
1.6830
0.1668
−0.9679
1.6790
0.0009
−0.9395
1.7478
−0.0009


34
−0.9649
1.7601
0.1625
−0.9940
1.6911
0.1655
−0.9884
1.6875
0.0000
−0.9598
1.7562
0.0000


35
−0.9838
1.7680
0.1616
−1.0133
1.6991
0.1644
−1.0084
1.6958
0.0000
−0.9796
1.7644
0.0000


36
−1.0023
1.7757
0.1608
−1.0320
1.7069
0.1633
−1.0279
1.7040
0.0000
−0.9988
1.7725
0.0000


37
−1.0203
1.7834
0.1600
−1.0502
1.7147
0.1624
−1.0469
1.7120
0.0000
−1.0176
1.7805
0.0000


38
−1.0380
1.7910
0.1594
−1.0681
1.7223
0.1615
−1.0656
1.7200
0.0000
−1.0361
1.7884
0.0000


39
−1.0555
1.7985
0.1588
−1.0857
1.7299
0.1607
−1.0837
1.7279
0.0000
−1.0541
1.7962
0.0000


40
−1.3324
1.9180
0.1588
−1.3576
1.8472
0.1607
−1.3559
1.8449
0.0000
−1.3312
1.9154
0.0000
















TABLE 20







Impeller Section - Primary Splitter Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
x
y
z
x
y
z
x
y
z
x
y
z


Number
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]






















1-4
0
0
0
0
0
0
0
0
0
0
0
0


5
−0.0138
1.1350
0.3585
−0.0195
1.1181
0.3676
−0.0728
1.0182
0.1106
−0.0662
1.0364
0.1057


6
−0.2007
1.1690
0.3347
−0.2045
1.1492
0.3437
−0.2374
1.0573
0.0951
−0.2328
1.0784
0.0903


7
−0.3694
1.1801
0.3137
−0.3711
1.1577
0.3226
−0.3876
1.0755
0.0820
−0.3850
1.0991
0.0774


8
−0.5194
1.1762
0.2953
−0.5192
1.1513
0.3040
−0.5230
1.0796
0.0708
−0.5222
1.1055
0.0664


9
−0.6520
1.1629
0.2792
−0.6497
1.1358
0.2878
−0.6442
1.0743
0.0614
−0.6453
1.1023
0.0570


10
−0.7689
1.1442
0.2651
−0.7648
1.1151
0.2735
−0.7525
1.0630
0.0532
−0.7554
1.0930
0.0490


11
−0.8720
1.1228
0.2528
−0.8662
1.0917
0.2610
−0.8494
1.0481
0.0462
−0.8539
1.0801
0.0422


12
−0.9634
1.1006
0.2421
−0.9560
1.0675
0.2501
−0.9363
1.0313
0.0402
−0.9423
1.0653
0.0363


13
−1.0447
1.0785
0.2326
−1.0359
1.0435
0.2405
−1.0144
1.0137
0.0350
−1.0218
1.0495
0.0312


14
−1.1174
1.0573
0.2243
−1.1072
1.0203
0.2319
−1.0849
0.9959
0.0305
−1.0935
1.0336
0.0268


15
−1.1827
1.0373
0.2170
−1.1714
0.9984
0.2244
−1.1488
0.9784
0.0265
−1.1586
1.0181
0.0230


16
−1.2417
1.0187
0.2106
−1.2294
0.9778
0.2177
−1.2071
0.9616
0.0231
−1.2179
1.0032
0.0197


17
−1.2953
1.0016
0.2048
−1.2822
0.9587
0.2118
−1.2604
0.9456
0.0200
−1.2721
0.9891
0.0169


18
−1.3442
0.9860
0.1997
−1.3304
0.9411
0.2064
−1.3093
0.9304
0.0174
−1.3219
0.9759
0.0144


19
−1.3891
0.9719
0.1952
−1.3747
0.9248
0.2016
−1.3546
0.9162
0.0151
−1.3678
0.9637
0.0122


20
−1.4305
0.9591
0.1911
−1.4156
0.9099
0.1973
−1.3965
0.9029
0.0130
−1.4104
0.9524
0.0103


21
−1.4689
0.9475
0.1874
−1.4533
0.8964
0.1935
−1.4355
0.8904
0.0112
−1.4499
0.9420
0.0086


22
−1.5049
0.9368
0.1842
−1.4887
0.8836
0.1900
−1.4719
0.8789
0.0096
−1.4868
0.9325
0.0072


23
−1.5386
0.9270
0.1812
−1.5220
0.8716
0.1868
−1.5061
0.8681
0.0082
−1.5214
0.9237
0.0059


24
−1.5703
0.9180
0.1785
−1.5533
0.8605
0.1839
−1.5383
0.8579
0.0069
−1.5541
0.9156
0.0048


25
−1.6002
0.9098
0.1761
−1.5829
0.8501
0.1813
−1.5688
0.8484
0.0058
−1.5849
0.9081
0.0039


26
−1.6285
0.9022
0.1739
−1.6110
0.8404
0.1789
−1.5977
0.8393
0.0049
−1.6143
0.9012
0.0030


27
−1.6554
0.8953
0.1720
−1.6378
0.8313
0.1767
−1.6253
0.8308
0.0040
−1.6422
0.8947
0.0024


28
−1.6811
0.8890
0.1702
−1.6633
0.8228
0.1747
−1.6517
0.8227
0.0033
−1.6689
0.8887
0.0018


29
−1.7057
0.8831
0.1685
−1.6877
0.8148
0.1728
−1.6770
0.8150
0.0026
−1.6945
0.8830
0.0013


30
−1.7293
0.8778
0.1670
−1.7112
0.8073
0.1712
−1.7013
0.8076
0.0020
−1.7190
0.8778
0.0009


31
−1.7520
0.8728
0.1657
−1.7338
0.8001
0.1696
−1.7247
0.8006
0.0016
−1.7427
0.8729
0.0005


32
−1.7737
0.8672
0.1645
−1.7560
0.7944
0.1681
−1.7477
0.7949
0.0011
−1.7654
0.8672
0.0003


33
−1.7947
0.8619
0.1634
−1.7774
0.7890
0.1668
−1.7699
0.7894
0.0009
−1.7874
0.8618
−0.0009


34
−1.8152
0.8568
0.1625
−1.7982
0.7839
0.1655
−1.7915
0.7842
0.0000
−1.8088
0.8566
0.0000


35
−1.8351
0.8521
0.1616
−1.8184
0.7790
0.1644
−1.8126
0.7792
0.0000
−1.8296
0.8517
0.0000


36
−1.8546
0.8475
0.1608
−1.8382
0.7743
0.1633
−1.8332
0.7744
0.0000
−1.8499
0.8469
0.0000


37
−1.8737
0.8431
0.1600
−1.8575
0.7699
0.1624
−1.8533
0.7697
0.0000
−1.8698
0.8423
0.0000


38
−1.8925
0.8388
0.1594
−1.8764
0.7656
0.1615
−1.8731
0.7652
0.0000
−1.8894
0.8379
0.0000


39
−1.9111
0.8346
0.1588
−1.8952
0.7614
0.1607
−1.8924
0.7609
0.0000
−1.9085
0.8336
0.0000


40
−2.2053
0.7685
0.1588
−2.1840
0.6965
0.1607
−2.1814
0.6956
0.0000
−2.2029
0.7672
0.0000
















TABLE 21







Impeller Section - Secondary Splitter Blades












Vertex 76
Vertex 78
Vertex 80
Vertex 82


Cross-
(shroud pressure side)
(shroud suction side)
(hub suction side)
(hub pressure side)



















section
x
y
z
x
y
z
x
y
z
x
y
z


Number
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]
[in]






















1-11
0
0
0
0
0
0
0
0
0
0
0
0


12
−0.5768
1.3373
0.2438
−0.5787
1.3179
0.2484
−0.5708
1.2774
0.0394
−0.5680
1.2970
0.0371


13
−0.6608
1.3415
0.2342
−0.6622
1.3196
0.2389
−0.6508
1.2846
0.0342
−0.6483
1.3068
0.0319


14
−0.7363
1.3439
0.2257
−0.7374
1.3194
0.2306
−0.7235
1.2893
0.0298
−0.7213
1.3140
0.0275


15
−0.8045
1.3453
0.2182
−0.8054
1.3182
0.2232
−0.7899
1.2923
0.0259
−0.7879
1.3195
0.0236


16
−0.8663
1.3460
0.2117
−0.8670
1.3164
0.2166
−0.8505
1.2941
0.0226
−0.8487
1.3239
0.0202


17
−0.9225
1.3465
0.2058
−0.9231
1.3144
0.2108
−0.9063
1.2951
0.0196
−0.9046
1.3274
0.0173


18
−0.9738
1.3470
0.2006
−0.9744
1.3123
0.2055
−0.9576
1.2957
0.0170
−0.9560
1.3305
0.0148


19
−1.0209
1.3476
0.1960
−1.0215
1.3104
0.2008
−1.0050
1.2959
0.0147
−1.0034
1.3332
0.0125


20
−1.0642
1.3484
0.1918
−1.0650
1.3087
0.1966
−1.0490
1.2960
0.0127
−1.0473
1.3357
0.0106


21
−1.1043
1.3495
0.1881
−1.1051
1.3073
0.1928
−1.0900
1.2960
0.0109
−1.0881
1.3383
0.0089


22
−1.1418
1.3506
0.1847
−1.1427
1.3059
0.1894
−1.1282
1.2961
0.0094
−1.1262
1.3408
0.0074


23
−1.1769
1.3519
0.1817
−1.1780
1.3046
0.1863
−1.1640
1.2962
0.0080
−1.1618
1.3434
0.0061


24
−1.2099
1.3533
0.1790
−1.2113
1.3035
0.1835
−1.1978
1.2963
0.0068
−1.1954
1.3460
0.0050


25
−1.2409
1.3549
0.1765
−1.2426
1.3026
0.1809
−1.2297
1.2965
0.0057
−1.2270
1.3486
0.0040


26
−1.2702
1.3566
0.1743
−1.2723
1.3018
0.1785
−1.2600
1.2966
0.0047
−1.2571
1.3512
0.0032


27
−1.2980
1.3586
0.1723
−1.3005
1.3013
0.1764
−1.2889
1.2968
0.0039
−1.2856
1.3539
0.0025


28
−1.3244
1.3607
0.1704
−1.3274
1.3009
0.1744
−1.3165
1.2971
0.0032
−1.3129
1.3566
0.0019


29
−1.3496
1.3629
0.1688
−1.3531
1.3006
0.1726
−1.3429
1.2974
0.0025
−1.3390
1.3593
0.0013


30
−1.3737
1.3653
0.1673
−1.3778
1.3005
0.1709
−1.3683
1.2977
0.0020
−1.3640
1.3621
0.0009


31
−1.3968
1.3678
0.1659
−1.4015
1.3005
0.1694
−1.3927
1.2981
0.0015
−1.3880
1.3650
0.0006


32
−1.4191
1.3704
0.1646
−1.4244
1.3006
0.1680
−1.4164
1.2985
0.0011
−1.4113
1.3678
0.0003


33
−1.4407
1.3731
0.1635
−1.4465
1.3009
0.1667
−1.4393
1.2989
0.0009
−1.4337
1.3707
−0.0009


34
−1.4616
1.3758
0.1625
−1.4679
1.3012
0.1655
−1.4615
1.2994
0.0000
−1.4555
1.3736
0.0000


35
−1.4820
1.3774
0.1616
−1.4887
1.3028
0.1644
−1.4831
1.3012
0.0000
−1.4769
1.3754
0.0000


36
−1.5019
1.3791
0.1608
−1.5089
1.3045
0.1633
−1.5042
1.3029
0.0000
−1.4977
1.3771
0.0000


37
−1.5215
1.3808
0.1600
−1.5287
1.3062
0.1624
−1.5247
1.3047
0.0000
−1.5180
1.3789
0.0000


38
−1.5406
1.3826
0.1594
−1.5480
1.3080
0.1615
−1.5449
1.3066
0.0000
−1.5380
1.3807
0.0000


39
−1.5596
1.3843
0.1588
−1.5672
1.3097
0.1607
−1.5646
1.3084
0.0000
−1.5575
1.3825
0.0000


40
−1.8599
1.4124
0.1588
−1.8619
1.3373
0.1607
−1.8596
1.3357
0.0000
−1.8580
1.4103
0.0000









Discussion of Possible Embodiments


An impeller according to an exemplary embodiment of this disclosure, among other possible things, includes an inducer section. The inducer section has first and second pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices. The vertices of the first plurality of blades can be defined by Table 1. The vertices of the second plurality of blades can be defined by Table 2. The z axis for the first and second pluralities of blades can be coincident with an axis of rotation of the impeller.


The impeller of the preceding paragraph can optionally include, additionally and/or alternatively, any one or more of the following features, configurations and/or additional components:


A further embodiment of the foregoing impeller, wherein the impeller can include an impeller section fluidly connected downstream of the inducer section and having third, fourth, and fifth pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices. The vertices of the third plurality of blades can be defined by Table 3. The vertices of the fourth plurality of blades can be defined by Table 4. The vertices of the fifth plurality of blades can be defined by Table 5.


A further embodiment of any of the foregoing impellers, wherein the third, fourth, and fifth pluralities of blades can have a shroud.


A further embodiment of any of the foregoing impellers, wherein the inducer section and the impeller section can be joined by a hub.


A further embodiment of any of the foregoing impellers, wherein an outer diameter of the impeller can be greater than or equal to 4.115 inches and less than or equal to 4.135 inches.


A method of making a centrifugal pump according to an exemplary embodiment of this disclosure, among other possible things, includes forming an impeller having an inducer section. The inducer section has first and second pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices. The vertices of the first plurality of blades can be defined by Table 1. The vertices of the second plurality of blades can be defined by Table 2. The z axis for the first and second pluralities of blades can be coincident with an axis of rotation of the impeller.


The method of the preceding paragraph can optionally include, additionally and/or alternatively, any one or more of the following features, configurations and/or additional components:


A further embodiment of the foregoing method, wherein forming a impeller includes an impeller section fluidly connected downstream of the inducer. The impeller can have third, fourth, and fifth pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices. The vertices of the third plurality of blades can be defined by Table 3. The vertices of the fourth plurality of blades can be defined by Table 4. The vertices of the fifth plurality of blades can be defined by Table 5.


A further embodiment of any of the foregoing methods can include forming a shroud joined to the third, fourth, and fifth pluralities of blades.


A further embodiment of any of the foregoing methods can include forming a hub joining the inducer section and the impeller section.


A further embodiment of any of the foregoing methods can include forming a housing. The housing can have walls defining a volute passage and a diffuser passage fluidly connected to a volute passage. The volute passage can have a first subsection with cross-sectional areas defined by Table 6 and a second subsection with cross-sectional areas defined by Table 7.


A further embodiment of any of the foregoing methods, wherein the walls can define an exit bend fluidly connected to the diffuser passage, and wherein the exit ben can have cross-sectional areas defined by Table 8.


A further embodiment of any of the foregoing methods, wherein the housing can have a first half defining a first portion of the volute and diffuser passages and a second half defining a second portion of the volute and diffuser passages. The first and second halves can mate in a facing relationship such that the first and second portions cooperate to form the volute and diffuser passages.


A further embodiment of any of the foregoing methods, wherein the diffuser passage has cross-sectional areas with continuously increasing area from an inlet to an outlet of the diffuser passage.


A further embodiment of any of the foregoing methods, wherein an outer diameter of the impeller is greater than or equal to 4.115 inches and less than or equal to 4.135 inches.


While the invention has been described with reference to an exemplary embodiment(s), it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the scope of the invention. In addition, many modifications may be made to adapt a particular situation or material to the teachings of the invention without departing from the essential scope thereof. Therefore, it is intended that the invention not be limited to the particular embodiment(s) disclosed, but that the invention will include all embodiments falling within the scope of the appended claims.

Claims
  • 1. An impeller for a centrifugal pump comprising: an inducer section having first and second pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices, wherein the vertices of the first plurality of blades are defined by Table 1 and the vertices of the second plurality of blades are defined by Table 2, and wherein the z axis is coincident with an axis of rotation of the impeller.
  • 2. The impeller of claim 1 and further comprising: an impeller section fluidly connected downstream of the inducer section and having third, fourth, and fifth pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices, wherein the vertices of the third plurality of blades are defined by Table 3, the vertices of the fourth plurality of blades are defined by Table 4, and the vertices of the fifth plurality of blades are defined by Table 5.
  • 3. The impeller of claim 2, wherein the third, fourth, and fifth pluralities of blades have a shroud.
  • 4. The impeller of claim 2, wherein the inducer section and the impeller section are joined by a hub.
  • 5. The impeller of claim 2, wherein an outer diameter of the impeller is greater than or equal to 4.115 inches and less than or equal to 4.135 inches.
  • 6. A method of making a centrifugal pump, the method comprising: forming an impeller comprising: an inducer section having first and second pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices, wherein the vertices of the first plurality of blades are defined by Table 1 and the vertices of the second plurality of blades are defined by Table 2, and wherein the z axis is coincident with an axis of rotation of the impeller.
  • 7. The method of claim 6 and further comprising: forming an impeller comprising: an impeller section fluidly connected downstream of the inducer section and having third, fourth, and fifth pluralities of blades, each having a plurality of polygonal cross-sections defined by a plurality of vertices, wherein the vertices of the third plurality of blades are defined by Table 3, the vertices of the fourth plurality of blades are defined by Table 4, and the vertices of the fifth plurality of blades are defined by Table 5.
  • 8. The method of claim 7 and further comprising: forming a shroud joined to the third, fourth, and fifth pluralities of blades.
  • 9. The method of claim 8 and further comprising: forming a hub joining the inducer section and the impeller section.
  • 10. The method of claim 7 and further comprising: forming a housing comprising: walls defining a volute passage and a diffuser passage fluidly connected to the volute passage, wherein the volute passage has a first subsection having cross-sectional areas defined by Table 6 and a second subsection having cross-sectional areas defined by Table 7.
  • 11. The method of claim 10, wherein the walls define an exit bend fluidly connected to the diffuser passage, and wherein the exit bend has cross-sectional areas defined by Table 8.
  • 12. The method of claim 9, wherein the housing has a first half defining a first portion of the volute and diffuser passages and a second half defining a second portion of the volute and diffuser passages, and wherein the first and second halves mate in a facing relationship such that the first and second portions cooperate to form the volute and diffuser passages.
  • 13. The method of claim 9, wherein the diffuser passage has cross-sectional areas with continuously increasing area from an inlet to an outlet of the diffuser passage.
  • 14. The method of claim 10, wherein an outer diameter of the impeller is greater than or equal to 4.115 inches and less than or equal to 4.135 inches.
US Referenced Citations (9)
Number Name Date Kind
5100295 Madden Mar 1992 A
6632071 Pauly Oct 2003 B2
7273352 Williams Sep 2007 B2
7455497 Lee Nov 2008 B2
8944767 Stoicescu Feb 2015 B2
8974178 Stoicescu Mar 2015 B2
20130183148 Stoicescu et al. Jul 2013 A1
20130183155 Stoicescu et al. Jul 2013 A1
20160097399 Stoicescu Apr 2016 A1
Related Publications (1)
Number Date Country
20160097400 A1 Apr 2016 US