BACKGROUND This disclosure relates to blades, such as rotor blades or stator vane blades. Rotor and stator blades are known and used in engines, pumps, turbines and the like to propel a vehicle, move a fluid or extract work from a fluid. As fluid flows around the blades, the flow can separate and decrease the operating efficiency of the blades.
BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 schematically illustrates an example desalination system.
FIG. 2 illustrates an example turbopump machine.
FIG. 3 illustrates an example turbine blade of a rotor.
FIG. 4 illustrates a cross-section through a plurality of blades of a rotor showing an exit flow angle from between the blades.
DETAILED DESCRIPTION FIG. 1 schematically illustrates selected portions of an example desalination system 20, which provides an example operating environment for a turbopump machine 22, blade 46 and vane 47 that will be described in more detail below. It is to be understood that the desalination system 20 is only an exemplary end use environment and that other systems, such as but not limited to aircraft or aerospace systems and turbine engines, will also benefit from the disclosed turbopump machine 22, blade 46 or vane 47.
In the illustrated example, the turbopump machine 22 includes a pump section 24 and a turbine section 26. The turbopump machine 22 is fluidly connected with a reverse osmosis device 28 of known construction, for the desalination of water.
In the illustrated example, feed water is received into the pump section 24, which pressurizes the feed water and moves the feed water to the reverse osmosis device 28. As an example, the reverse osmosis device 28 includes one or more membranes to separate the feed water into a low-salinity stream 30 and a saline stream 32. The saline stream 32 is fed into the turbine section 26 of the turbopump machine 22, for energy recovery.
FIG. 2 illustrates a portion of an example of the turbopump machine 22. The pump section 24 and the turbine section 26 are coupled with a rotatable shaft 40 for rotation about axis A. The pump section 24 includes an impeller 42 that is coupled to rotate with the rotatable shaft 40.
The turbine section 26 is coupled to drive the rotatable shaft 40. The turbine section 26 includes an axial rotor 44 (e.g., turbine) having a plurality of blades 46 (one shown). In this example, the turbine section 26 also includes a plurality of fixed stator vanes 47 located upstream from the axial rotor 44. The turbine section 26 may have one or more stages of blades 46, vanes 47 or both.
The turbine section 26 includes a turbine nozzle 48 upstream from the blades 46 and in communication with an inlet 50 of the turbine section 26. An outlet 52 is located downstream from the blades 46. In the example shown, the outlet 52 is an annular outlet that extends between an outer wall 54 and an inner wall 56.
For the purpose of description, FIG. 3 shows one of the blades 46 of the axial rotor 44, however, it is to be understood that the blade 46 is also representative of the vanes 47 with regard to the salient features described herein. As can be appreciated, the vanes 47 may be fixed at their radially outer tips, whereas the blades 46 are designed to rotate. Each of the blades 46 extends from a hub 58 that is rotatable about the axis A (FIG. 2). Each of the blades 46 includes a blade body 60 (e.g., airfoil-shaped body) that extends over a span S from a base 62 at the hub 58 to a tip 64. The blade body 60 also extends between a leading end 66 and a trailing end 68 and between a pressure side surface 70 and a suction side surface 72 (FIG. 4).
The blade body 60 also defines a mean camber line C (FIG. 4) that extends from the leading end 66 to the trailing end 68. The mean camber line C is the mid-thickness of the blade 46 such that, normal to the mean camber line C, there is an equal amount of blade body distance above and below the mean camber line C.
Each of the blades 46 receives a fluid flow F that splits at the nose of the leading end 66 and flows over the pressure side surface 70 and the suction side surface 72. The flow F exits from between adjacent blades 46 at an angle relative to a plane 74 that is perpendicular to the axis of rotation A or, for the vanes 47, axis around which the vanes 47 are arranged. The direction of the exit flow F can be determined through computer simulation or experimental data, for example.
In the illustrated example, the exit flow F forms an angle 76 with regard to the plane 74. Alternatively, the angle 76 can be represented as an angle to the axis A (i.e., 90° minus angle 76). The exit flow angle 76 decreases along the span S from the base 62 to the tip 64 of the blade 46. The feature of the decreasing exit flow angle 76 facilitates the control of flow through the axial rotor to reduce or eliminate flow separation near the hub 58, for example.
The reduction or elimination of flow separation near the hub 58 enhances the efficiency of the blade 46 and the turbine section 26 of the turbopump machine 22 can be operated at speeds that are more beneficial for enhancing the efficiency of the pump section 24 of the turbopump machine 22. For instance, the turbine section 26 is operated at a speed of approximately 3500-4500 revolutions per minute, such as at 4000 revolutions per minute, to drive the pump section 24 at the same speed through the common coupling with the shaft 40. At such speeds, the pump section 24 operates in a more efficient speed regime to thereby enhance the overall efficiency performance of the turbopump machine 22.
In one example, the average exit flow angle 76 over the span S is less than 12°. For example, the average exit flow angle is an integrated average over the span S.
In a further example, the decreasing exit flow angle 76 is represented as a proportional ratio of a maximum exit flow angle at the base 62 to a minimum exit flow angle at the tip 64. For instance, the proportional ratio is no greater than 2.33. The “proportional ratio” refers to the quotient of the maximum exit flow angle divided by the minimum exit flow angle, as a scalable value.
In a further example, the proportional ratio is greater than 1 and is less than or equal to 4. In other examples, the proportional ratio is 4, 2.4 or 1.67.
The above exemplary proportional ratios are achieved by establishing the exit flow angle at the base 62 to be between 12° and 20° and the exit flow angle at the tip 64 to be between 5° and 12°.
In a further embodiment, the decreasing exit flow angle 76 has a rate of decrease over the span S from the base 62 to the tip 64 that is non-linear.
In one example, the exit flow angle 76 is controlled by the geometry of the blades 46 with regard to the shape of the pressure side surface 70 and the suction side surface 72. The shape of the pressure side surface 70 and the suction side surface 72 is represented by a set of coordinates and a radii of curvature at each respective coordinate. For example, the coordinate system is a cylindrical coordinate system that includes X-coordinates along a direction that is parallel to the axis of rotation A and radial coordinates that are a function of radial distance and angle relative to a reference point in space.
Table I below shows an exemplary set of coordinates and radii of curvature at each coordinate for the blade 46 having a decreasing exit flow angle as described herein. It is to be understood that the exemplary coordinates and radii of curvature are scalable such that the given values are relative to each other for a given scale factor. By defining the coordinate values and radii at selected locations, the surfaces of the blades 46 are ascertained.
The Table values present actual blade 46 profiles in ambient, non-operating or non-hot conditions for an end use blade.
TABLE I
Co-
ordi-
Sec- nate Radial
tion Description # X-Coord. Coord. Radii
1 suction 1 0.065000318 −0.112583481 5.618000031
side from 2 0.069693290 −0.115220830 5.618000031
LE - curve 0 3 0.074823737 −0.117943175 5.618000031
4 0.080434263 −0.120724402 5.618000031
5 0.086569928 −0.123532899 5.618000031
6 0.093278728 −0.126325026 5.618000031
7 0.100611016 −0.129043564 5.618000031
8 0.108617760 −0.131614670 5.618000031
9 0.117348216 −0.133945093 5.618000031
10 0.126846194 −0.135919631 5.618000031
11 0.137145326 −0.137400031 5.618000031
12 0.148265779 −0.138226330 5.618000031
13 0.160200313 −0.138220698 5.618000031
14 0.172921583 −0.137196854 5.618000031
15 0.186368138 −0.134972095 5.618000031
16 0.200455457 −0.131381154 5.618000031
17 0.215079650 −0.126288310 5.618000031
18 0.230129391 −0.119594432 5.618000031
19 0.245496839 −0.111237586 5.618000031
20 0.261085689 −0.101188287 5.618000031
21 0.276815355 −0.089442305 5.618000031
22 0.292621374 −0.076013222 5.618000031
23 0.308453947 −0.060926266 5.618000031
24 0.324275166 −0.044214074 5.618000031
25 0.340055823 −0.025914336 5.618000031
26 0.355772793 −0.006068866 5.618000031
27 0.371406823 0.015276501 5.618000031
28 0.386940688 0.038071387 5.618000031
29 0.402358174 0.062260009 5.618000031
30 0.417643368 0.087780744 5.618000031
31 0.432779819 0.114564918 5.618000031
32 0.447750360 0.142536327 5.618000031
33 0.462537318 0.171611324 5.618000031
34 0.477122128 0.201698154 5.618000031
35 0.491485506 0.232697010 5.618000031
36 0.505607843 0.264500797 5.618000031
37 0.519469440 0.296996117 5.618000031
38 0.533065021 0.330059648 5.618000031
39 0.546459556 0.363532424 5.618000031
40 0.559657156 0.397278816 5.618000031
41 0.572605133 0.431189537 5.618000031
42 0.585260093 0.465146542 5.618000031
43 0.597582281 0.499029756 5.618000031
44 0.609536648 0.532720149 5.618000031
45 0.621092856 0.566102803 5.618000031
46 0.632225990 0.599073410 5.618000031
47 0.642915845 0.631525517 5.618000031
48 0.653147221 0.663357437 5.618000031
49 0.662909985 0.694477797 5.618000031
50 0.672198832 0.724815845 5.618000031
51 0.681012392 0.754294515 5.618000031
52 0.689353466 0.782845497 5.618000031
53 0.697228253 0.810431600 5.618000031
54 0.704645991 0.837001979 5.618000031
55 0.711618304 0.862523258 5.618000031
56 0.718159318 0.886984587 5.618000031
57 0.724284470 0.910355806 5.618000031
58 0.730010867 0.932652533 5.618000031
59 0.735356152 0.953855932 5.618000031
60 0.740338922 0.973996639 5.618000031
61 0.744977653 0.993071556 5.618000031
62 0.749291241 1.011112213 5.618000031
63 0.753298342 1.028147936 5.618000031
64 0.757017136 1.044191718 5.618000031
65 0.760465503 1.059294343 5.618000031
66 0.763660669 1.073483109 5.618000031
67 0.766619086 1.086785316 5.618000031
68 0.769356787 1.099251032 5.618000031
69 0.771889031 1.110924363 5.618000031
70 0.774229586 1.121825933 5.618000031
71 0.776392400 1.132000685 5.618000031
72 0.778390110 1.141491771 5.618000031
73 0.780234754 1.150341392 5.618000031
74 0.781908453 1.158583283 5.618000031
75 0.783462167 1.166247129 5.618000031
76 0.784905970 1.173368812 5.618000031
77 0.786246657 1.179981947 5.618000031
78 0.787490845 1.186118960 5.618000031
79 0.788644731 1.191810608 5.618000031
80 0.789714336 1.197086573 5.618000031
trailing 1 0.789714336 1.197086573 5.618000031
edge - 2 0.789917886 1.201568007 5.618000031
curve 1 3 0.788787067 1.205909133 5.618000031
4 0.786423087 1.209721804 5.618000031
5 0.783037424 1.212664962 5.618000031
6 0.778932869 1.214475274 5.618000031
7 0.774476528 1.214990854 5.618000031
8 0.770067036 1.214165688 5.618000031
9 0.766098738 1.212073445 5.618000031
10 0.762926638 1.208901286 5.618000031
11 0.760834396 1.204933047 5.618000031
pressure 1 0.760834396 1.204933047 5.618000031
side - 2 0.758890986 1.199366808 5.618000031
curve 2 3 0.756731153 1.193209171 5.618000031
4 0.754332125 1.186405063 5.618000031
5 0.751668751 1.178895593 5.618000031
6 0.748714447 1.170621157 5.618000031
7 0.745439947 1.161515594 5.618000031
8 0.741813719 1.151509404 5.618000031
9 0.737802327 1.140536427 5.618000031
10 0.733369470 1.128522754 5.618000031
11 0.728477359 1.115400434 5.618000031
12 0.723085821 1.101097465 5.618000031
13 0.717153311 1.085549712 5.618000031
14 0.710636795 1.068693519 5.618000031
15 0.703492701 1.050473332 5.618000031
16 0.695677280 1.030842900 5.618000031
17 0.687147677 1.009767294 5.618000031
18 0.677862585 0.987224758 5.618000031
19 0.667784035 0.963210702 5.618000031
20 0.656877935 0.937739253 5.618000031
21 0.645116150 0.910846651 5.618000031
22 0.632477641 0.882591307 5.618000031
23 0.618950009 0.853056550 5.618000031
24 0.604531646 0.822353303 5.618000031
25 0.589231968 0.790614545 5.618000031
26 0.573073685 0.758000076 5.618000031
27 0.556092620 0.724689305 5.618000031
28 0.538339317 0.690882921 5.618000031
29 0.519877613 0.656794429 5.618000031
30 0.500785053 0.622647643 5.618000031
31 0.481151491 0.588670969 5.618000031
32 0.461077690 0.555092037 5.618000031
33 0.440672696 0.522130072 5.618000031
34 0.420052171 0.489992142 5.618000031
35 0.399335384 0.458867610 5.618000031
36 0.378642440 0.428924143 5.618000031
37 0.358092219 0.400304586 5.618000031
38 0.337798953 0.373124361 5.618000031
39 0.317870677 0.347470969 5.618000031
40 0.298406631 0.323403537 5.618000031
41 0.279496312 0.300954282 5.618000031
42 0.261218518 0.280130506 5.618000031
43 0.243638873 0.260915518 5.618000031
44 0.226812482 0.243273884 5.618000031
45 0.210780546 0.227152109 5.618000031
46 0.195573643 0.212483868 5.618000031
47 0.181210056 0.199191704 5.618000031
48 0.167697757 0.187191188 5.618000031
49 0.155035138 0.176393047 5.618000031
50 0.143211976 0.166705981 5.618000031
51 0.132210836 0.158038929 5.618000031
52 0.122007556 0.150302216 5.618000031
53 0.112572968 0.143409699 5.618000031
54 0.103873782 0.137279347 5.618000031
55 0.095873952 0.131834269 5.618000031
56 0.088535376 0.127002731 5.618000031
57 0.081818417 0.122719280 5.618000031
58 0.075679705 0.118929714 5.618000031
59 0.070069723 0.115595981 5.618000031
60 0.065000318 0.112583481 5.618000031
leading 1 0.065000318 0.112583481 5.618000031
edge - 2 0.043013237 0.096609026 5.618000031
curve 3 3 0.024827920 0.076412261 5.618000031
4 0.011239149 0.052875906 5.618000031
5 0.002840832 0.027028596 5.618000031
6 0.000000000 0.000000004 5.618000031
7 0.002840832 −0.027028589 5.618000031
8 0.011239149 −0.052875891 5.618000031
9 0.024827920 −0.076412261 5.618000031
10 0.043013237 −0.096609026 5.618000031
11 0.065000325 −0.112583496 5.618000031
2 suction 1 0.065000318 −0.112583481 5.848999977
side from 2 0.069683179 −0.115239047 5.848999977
LE - curve 0 3 0.074791476 −0.118028820 5.848999977
4 0.080364786 −0.120941833 5.848999977
5 0.086445890 −0.123964138 5.848999977
6 0.093081519 −0.127075091 5.848999977
7 0.100321889 −0.130244657 5.848999977
8 0.108220577 −0.133432060 5.848999977
9 0.116834305 −0.136583164 5.848999977
10 0.126221716 −0.139626786 5.848999977
11 0.136441514 −0.142471209 5.848999977
12 0.147549480 −0.145000294 5.848999977
13 0.159593701 −0.147069812 5.848999977
14 0.172610804 −0.148506343 5.848999977
15 0.186613724 −0.149105951 5.848999977
16 0.201587886 −0.148640454 5.848999977
17 0.217480972 −0.146867111 5.848999977
18 0.234199509 −0.143546104 5.848999977
19 0.251611769 −0.138459995 5.848999977
20 0.269558102 −0.131433159 5.848999977
21 0.287867129 −0.122344099 5.848999977
22 0.306372851 −0.111128107 5.848999977
23 0.324927896 −0.097771138 5.848999977
24 0.343411207 −0.082298227 5.848999977
25 0.361728609 −0.064761654 5.848999977
26 0.379809737 −0.045231745 5.848999977
27 0.397604167 −0.023788195 5.848999977
28 0.415076017 −0.000517053 5.848999977
29 0.432199448 0.024491007 5.848999977
30 0.448955536 0.051141378 5.848999977
31 0.465329200 0.079334021 5.848999977
32 0.481308073 0.108963713 5.848999977
33 0.496881396 0.139919445 5.848999977
34 0.512039185 0.172083616 5.848999977
35 0.526772141 0.205332130 5.848999977
36 0.541071355 0.239534006 5.848999977
37 0.554928243 0.274552137 5.848999977
38 0.568339825 0.310243130 5.848999977
39 0.581320465 0.346456289 5.848999977
40 0.593860745 0.383038938 5.848999977
41 0.605945051 0.419847518 5.848999977
42 0.617561340 0.456734419 5.848999977
43 0.628701091 0.493553251 5.848999977
44 0.639358640 0.530159593 5.848999977
45 0.649532020 0.566416740 5.848999977
46 0.659222603 0.602199256 5.848999977
47 0.668433666 0.637384236 5.848999977
48 0.677170455 0.671854734 5.848999977
49 0.685440183 0.705501199 5.848999977
50 0.693254590 0.738245428 5.848999977
51 0.700625658 0.770009995 5.848999977
52 0.707564712 0.800711870 5.848999977
53 0.714088321 0.830313981 5.848999977
54 0.720211267 0.858767986 5.848999977
55 0.725948811 0.886033893 5.848999977
56 0.731319785 0.912110388 5.848999977
57 0.736338675 0.936964154 5.848999977
58 0.741025090 0.960617185 5.848999977
59 0.745394588 0.983061492 5.848999977
60 0.749464512 1.004315853 5.848999977
61 0.753252745 1.024414659 5.848999977
62 0.756773591 1.043362498 5.848999977
63 0.760044515 1.061209202 5.848999977
64 0.763080955 1.077992082 5.848999977
65 0.765896201 1.093732715 5.848999977
66 0.768505454 1.108484030 5.848999977
67 0.770922959 1.122297406 5.848999977
68 0.773160458 1.135204315 5.848999977
69 0.775230050 1.147246361 5.848999977
70 0.777143657 1.158472896 5.848999977
71 0.778912544 1.168931961 5.848999977
72 0.780542612 1.178668857 5.848999977
73 0.782028496 1.187719941 5.848999977
74 0.783408284 1.196124673 5.848999977
75 0.784688652 1.203923821 5.848999977
76 0.785875857 1.211155534 5.848999977
77 0.786975920 1.217856407 5.848999977
78 0.787994623 1.224061608 5.848999977
79 0.788937449 1.229804754 5.848999977
80 0.789809585 1.235117197 5.848999977
trailing 1 0.789809585 1.235117197 5.848999977
edge - 2 0.789851844 1.239603162 5.848999977
curve 1 3 0.788565755 1.243900895 5.848999977
4 0.786066294 1.247626066 5.848999977
5 0.782576978 1.250445604 5.848999977
6 0.778410017 1.252107263 5.848999977
7 0.773938000 1.252462268 5.848999977
8 0.769561052 1.251479149 5.848999977
9 0.765670538 1.249245644 5.848999977
10 0.762614489 1.245961547 5.848999977
11 0.760666251 1.241920590 5.848999977
pressure 1 0.760666251 1.241920590 5.848999977
side - 2 0.758962274 1.236412764 5.848999977
curve 2 3 0.757061601 1.230301976 5.848999977
4 0.754942298 1.223529577 5.848999977
5 0.752580404 1.216033340 5.848999977
6 0.749949753 1.207750082 5.848999977
7 0.747021735 1.198608875 5.848999977
8 0.743765056 1.188533425 5.848999977
9 0.740146101 1.177452326 5.848999977
10 0.736128330 1.165284634 5.848999977
11 0.731672883 1.151955128 5.848999977
12 0.726738095 1.137383938 5.848999977
13 0.721280158 1.121499419 5.848999977
14 0.715253115 1.104227901 5.848999977
15 0.708609581 1.085506320 5.848999977
16 0.701301098 1.065280199 5.848999977
17 0.693279028 1.043506384 5.848999977
18 0.684495747 1.020156741 5.848999977
19 0.674905539 0.995220661 5.848999977
20 0.664466023 0.968708754 5.848999977
21 0.653140068 0.940655589 5.848999977
22 0.640897214 0.911120534 5.848999977
23 0.627715528 0.880191028 5.848999977
24 0.613583982 0.847985506 5.848999977
25 0.598503053 0.814647019 5.848999977
26 0.582487822 0.780350626 5.848999977
27 0.565567613 0.745291889 5.848999977
28 0.547788203 0.709691703 5.848999977
29 0.529211164 0.673786879 5.848999977
30 0.509913921 0.637824357 5.848999977
31 0.489988685 0.602056742 5.848999977
32 0.469541043 0.566735506 5.848999977
33 0.448687464 0.532102704 5.848999977
34 0.427553087 0.498386234 5.848999977
35 0.406268507 0.465792984 5.848999977
36 0.384966493 0.434504390 5.848999977
37 0.363779098 0.404673189 5.848999977
38 0.342834175 0.376420200 5.848999977
39 0.322253317 0.349835038 5.848999977
40 0.302148938 0.324975252 5.848999977
41 0.282622218 0.301867664 5.848999977
42 0.263761491 0.280510485 5.848999977
43 0.245642006 0.260877669 5.848999977
44 0.228324383 0.242920816 5.848999977
45 0.211855575 0.226574376 5.848999977
46 0.196267828 0.211757958 5.848999977
47 0.181581303 0.198381931 5.848999977
48 0.167803183 0.186349347 5.848999977
49 0.154929906 0.175559789 5.848999977
50 0.142948002 0.165911973 5.848999977
51 0.131835893 0.157306030 5.848999977
52 0.121564880 0.149645180 5.848999977
53 0.112101071 0.142837375 5.848999977
54 0.103406280 0.136795953 5.848999977
55 0.095439196 0.131440535 5.848999977
56 0.088156857 0.126696929 5.848999977
57 0.081515469 0.122497544 5.848999977
58 0.075461298 0.118797369 5.848999977
59 0.069958746 0.115528814 5.848999977
60 0.065000318 0.112583481 5.848999977
leading 1 0.065000318 0.112583481 5.848999977
edge - 2 0.043013237 0.096609026 5.848999977
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64 0.771096051 1.184160948 6.541999817
65 0.773111284 1.201039433 6.541999817
66 0.774973631 1.216785312 6.541999817
67 0.776693165 1.231449723 6.541999817
68 0.778280377 1.245095134 6.541999817
69 0.779745102 1.257782340 6.541999817
70 0.781096280 1.269567847 6.541999817
71 0.782323360 1.280498266 6.541999817
72 0.783455431 1.290624499 6.541999817
73 0.784503341 1.299997807 6.541999817
74 0.785472572 1.308667421 6.541999817
75 0.786368310 1.316679597 6.541999817
76 0.787195563 1.324079275 6.541999817
77 0.787959099 1.330908895 6.541999817
78 0.788663387 1.337208629 6.541999817
79 0.789312661 1.343016267 6.541999817
80 0.789910853 1.348366976 6.541999817
trailing 1 0.789910853 1.348366976 6.541999817
edge - 2 0.789726913 1.352849364 6.541999817
curve 1 3 0.788225770 1.357076764 6.541999817
4 0.785541654 1.360671163 6.541999817
5 0.781914651 1.363311172 6.541999817
6 0.777669191 1.364760637 6.541999817
7 0.773185015 1.364889860 6.541999817
8 0.768863142 1.363687158 6.541999817
9 0.765090168 1.361260295 6.541999817
10 0.762203574 1.357826352 6.541999817
11 0.760461569 1.353692293 6.541999817
pressure 1 0.760461569 1.353692293 6.541999817
side - 2 0.759065628 1.348215222 6.541999817
curve 2 3 0.757499516 1.342105031 6.541999817
4 0.755742967 1.335296154 6.541999817
5 0.753773510 1.327717662 6.541999817
6 0.751566172 1.319296122 6.541999817
7 0.749093711 1.309952497 6.541999817
8 0.746325791 1.299597025 6.541999817
9 0.743229210 1.288140059 6.541999817
10 0.739767849 1.275492668 6.541999817
11 0.735902011 1.261554003 6.541999817
12 0.731589198 1.246234059 6.541999817
13 0.726783395 1.229434133 6.541999817
14 0.721435785 1.211063981 6.541999817
15 0.715494931 1.191041470 6.541999817
16 0.708906829 1.169287562 6.541999817
17 0.701616347 1.145739198 6.541999817
18 0.693567395 1.120350003 6.541999817
19 0.684704661 1.093093038 6.541999817
20 0.674974918 1.063966632 6.541999817
21 0.664328396 1.032995462 6.541999817
22 0.652721524 1.000238061 6.541999817
23 0.640118599 0.965788066 6.541999817
24 0.626493633 0.929770052 6.541999817
25 0.611834168 0.892353058 6.541999817
26 0.596141517 0.853734076 6.541999817
27 0.579434335 0.814150035 6.541999817
28 0.561749101 0.773862839 6.541999817
29 0.543140948 0.733157754 6.541999817
30 0.523684502 0.692337573 6.541999817
31 0.503472567 0.651712239 6.541999817
32 0.482615024 0.611590266 6.541999817
33 0.461236149 0.572270215 6.541999817
34 0.439472109 0.534031808 6.541999817
35 0.417467535 0.497129112 6.541999817
36 0.395371377 0.461783081 6.541999817
37 0.373333603 0.428178221 6.541999817
38 0.351500660 0.396458298 6.541999817
39 0.330012947 0.366726816 6.541999817
40 0.309000880 0.339046419 6.541999817
41 0.288582951 0.313441962 6.541999817
42 0.268863022 0.289902329 6.541999817
43 0.249928936 0.268385261 6.541999817
44 0.231853381 0.248824358 6.541999817
45 0.214690611 0.231129527 6.541999817
46 0.198479787 0.215196654 6.541999817
47 0.183244258 0.200910151 6.541999817
48 0.168992221 0.188147098 6.541999817
49 0.155719474 0.176782593 6.541999817
50 0.143410191 0.166692078 6.541999817
51 0.132038772 0.157754347 6.541999817
52 0.121571653 0.149853483 6.541999817
53 0.111969233 0.142880529 6.541999817
54 0.103187338 0.136734247 6.541999817
55 0.095178157 0.131321386 6.541999817
56 0.087892756 0.126557618 6.541999817
57 0.081281371 0.122366585 6.541999817
58 0.075279035 0.118705392 6.541999817
59 0.069858894 0.115477197 6.541999817
60 0.065000318 0.112583481 6.541999817
leading 1 0.065000318 0.112583481 6.541999817
edge - 2 0.043013237 0.096609026 6.541999817
curve 3 3 0.024827920 0.076412261 6.541999817
4 0.011239149 0.052875903 6.541999817
5 0.002840832 0.027028596 6.541999817
6 0.000000000 0.000000004 6.541999817
7 0.002840832 −0.027028589 6.541999817
8 0.011239149 −0.052875895 6.541999817
9 0.024827920 −0.076412261 6.541999817
10 0.043013237 −0.096609026 6.541999817
11 0.065000325 −0.112583488 6.541999817
In another example, the exit flow angle 76 is a camber angle between the mean camber line C at the trailing end 68 (as shown by extended mean camber line 77) relative to the plane 74. In one example, the flow angle 76 approaches approximately 5° and approximately 12° near the tip 64 and approaches approximately 12° and approximately 20° at the base 62 near the hub 58.
Although a combination of features is shown in the illustrated examples, not all of them need to be combined to realize the benefits of various embodiments of this disclosure. In other words, a system designed according to an embodiment of this disclosure will not necessarily include all of the features shown in any one of the Figures or all of the portions schematically shown in the Figures. Moreover, selected features of one example embodiment may be combined with selected features of other example embodiments.
The preceding description is exemplary rather than limiting in nature. Variations and modifications to the disclosed examples may become apparent to those skilled in the art that do not necessarily depart from the essence of this disclosure. The scope of legal protection given to this disclosure can only be determined by studying the following claims.
