complementary aerodynamic performance datasets for
TRANSCRIPT
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The 22nd International Symposium on Air Breathing Engines ISABE2015-20163 Phoenix, Arizona
October 25-30, 2015
1
Complementary Aerodynamic Performance Datasets for Variable Speed Power Turbine Blade Section from
Two Independent Transonic Turbine Cascades
Ashlie B. Flegel, NASA Glenn Research Center Gerard E. Welch, NASA Glenn Research Center
Paul W. Giel, Vantage Partners, LLC Forrest E. Ames, University of North Dakota
Jonathon A. Long, University of North Dakota
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Smith chart
Acree, Hyeonsoo, and Sinsay, Int. Powered Lift Conf., 2008.
Motivation for VSPT Technology
Large Civil Tilt-Rotor
TOGW 108k lbm
Payload 90 PAX
Engines 4 × 7500 SHP
Range > 1,000 nm
Cruise speed > 300 kn
Cruise altitude 28 – 30 kft
Principal Challenge Variability in main-rotor speed: – 650 ft/s VTOL – 350 ft/s at Mn 0.5 cruise
Approaches – Variable gear-ratio transmission – Variable-speed power turbine (VSPT) – or combination
≈10 pts. in ηprop
VSPT Challenges – Efficiency at high cruise work factor
§ Δh0 = Δ(uq·U) ≈ const. at cruise and takeoff § Δh0/U2 cruise is 3.5 × takeoff
– 40⁰ to 60 ⁰ incidence angle variations in all blade row (and EGV) with 50% speed change
– Operation at low Re – transitional flow § 28 to 30 k-ft cruise leads to 60 k < Recx,2 < 100 k § Transitional flow
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i = +5.8°β1,des = 40.0°
−55.5°exit metalangle
VSPT Approach and Objectives
3
• Document blade performance over wide incidence angle range, a wide Reynolds number range, and at mission-relevant Mach numbers.
– NASA’s initial test conducted at low inlet turbulence in order to admit transitional flow. – NASA subsequently repeated tests at higher, engine-relevant inlet Tu (8%-15%).
• UND facility smaller scale, able to achieve lower Reynolds numbers. • UND also measured blade surface heat transfer for transition locations.
Blade Details Stagger angle 20.4° Uncovered turning 19.5° Zweifel coefficient, Zwdes 1.06 Solidity, Cx / Pitch 1.39
Design Intent Blade Loading and Experimental Data at i = +5.8°
Cps =P −P2Pt,1 −P2
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
NASA, low Tu, RebNASA, high Tu, RebUND, low Tu, Rebdesign intent
Cps
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Inlet Angle, β1
i Zw Facility
50.0° 15.8° 1.22 NASA
45.0° 10.8° 1.13 NASA
40.0° (Cruise)
5.8° 1.06 both
34.2° 0.0° 0.99 both
28.0° −6.2° 0.92 both
18.1° −16.1° 0.82 both
8.2° −26.0° 0.74 both
−2.5° (Takeoff)
−36.7° 0.65 both
−11.8° (max mission i)
−46.0° 0.58 both
−16.8° −51.0° 0.53 both
−−−−−
−
−
−−−−
current study
Ma2,i,des=0.72
Ma2,i=0.35
⎫⎬⎭previous studies
Isentropic exit unit Reynolds number,
0.0
0.5
1.0
1.5
2.0
0.1 0.2 0.3 0.5 0.7 1.0 2 3 5 7 10Re2,i × 10
−6 [1/ft]
Isentropicexit Machnumber,Ma2,i
minimumexhaust
pressure≈13.8 kPa(2.0 psia)
maxmass flow≈ 26 kg/s(58 lbm/s)
maximuminlet pressure
= 159 kPa(23.0 psia)
7.06.05.04.0
3.0
2.0
1.51.31.21.1
1.0
PressureRatio,Pt,1P2
Pt = 14.7 psi
a
NASA Facility Operating Envelope
−55.5°metal
i=0.0°
i=−46.0° max ii=−36.7° t-o
i=+5.8° cruise
i=+15.8°
i=−51.0°
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Experimental Facilities
5
Inlet
NASA Transonic Turbine Blade Cascade
UND Compressible Flow Facility
Flow Parameters Exit ReCx Exit Mais
2.12×106 (4.0�Reb) 0.72
1.06×106 (2.0�Reb) 0.72
5.30×105 (1.0�Reb) 0.72
5.30×105 (1.0�Reb) 0.35
2.12×105 (0.4�Reb) 0.35
Flow Parameters Exit ReCx Exit Mais
5.27×105 (1.00�Reb) 0.72
2.12×105 (0.40�Reb) 0.72
6.12×104 (0.12�Reb) 0.72
4.64×104 (0.09�Reb) 0.72
5.27×105 (1.00�Reb) 0.35
2.12×105 (0.40�Reb) 0.35
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Test Configurations
6
NASA UND
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Blade and Inlet Parameters
7
NASA Inlet Tu δ (span/2)
low Tu
0.24% - 0.40%
39% - 56%
high Tu
8% - 15%
19% - 29%
UND Inlet Tu δ (span/2)
low Tu
0.32% - 0.42%
3% - 10%
high Tu
3.4% - 4.5%
7% - 11%
Notes: NASA inlet boundary thickness estimated from inlet Reynolds number scaling. UND inlet boundary layer thickness estimated from power-law assumption from θ measurements.
Blade Parameters
Parameter NASA Value
UND Value
Axial Chord, Cx [inch]
True Chord [inch]
Pitch, S [inch]
Span, H [inch]
Solidity, Cx/S
Aspect Ratio, H/Cx
Throat Dimension [inch]
Stagger Angle [deg.]
Inlet Metal Angle [deg.]
Uncovered Turning deg.]
Exit Metal Angle [deg.]
7.109
7.655
5.119
6.000
1.389
0.844
2.868
20.35°
34.2°
19.47°
−55.54°
2.673
2.878
1.925
2.000
1.388
0.748
1.062
20.35°
34.2°
19.47°
−55.54°
Inlet Flow Parameters
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BLADE LOADING MEASUREMENTS
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i=0.0°
i=+5.8°
Blade Loading – Design Incidence
9
P −P2Pt,1 −P2
Cps =
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / C_x-1.0 -0.5 0.0 0.5 1.00.0
0.1
0.2
0.3
0.4
0.5
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%und expr bld 2, 50.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 0.2215 ~4 10^6 (0.4~4des)
= 0.351
= 40.0~0 (i = +5.8~0) Pt,inPinPexTt,in
= 2.278 psia
= 2.171 psia
= 2.092 psia
= 51.45°F
`d_i_n ~;
P_t_,_i_n / P_e_x= 1.0891 (0.77~4des)
1 reading; number 58859
1.63 inchMa_i_n = 0.263
ReCx,in = 0.1703 ~4 10^6
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
NASA, low Tu, RebNASA, high Tu, RebUND, low Tu, RebUND, high Tu, RebDesign Intent
Cps
ReCx,2= 0.4×Reb Ma2,i = 0.72
Low Tu
ReCx,2= 0.4×Reb Ma2,i = 0.72
High Tu
Design Intent
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / Cx-1.0 -0.5 0.0 0.5 1.00.0
0.2
0.4
0.6
0.8
1.0
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 2.113 × 106 (4.0×des)
= 0.718
= 28.0° (i = −6.2°) Pt,inPinPexTt,in
= 12.984 psia
= 11.753 psia
= 9.208 psia
= 63.79°F
δ in ≈
Pt,in / Pex = 1.4101 (1.00×des)
1 reading; number 67344
1.21 inchMain = 0.380
ReCx,in = 1.315 × 106
blade %span 6 50% 6 10% 4 50% 4 30% 4 15% 4 10% 5 50% 5 30% 5 15% 5 10% UND 50%
β1= 40.0° i = +5.8° (Cruise)
Facility Match Point Facility Match Point
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Blade Loading – Highest Negative Incidence
10
P −P2Pt,1 −P2
Cps =
x / Cx x / Cx
ReCx,2 Ma2,i
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / Cx-1.0 -0.5 0.0 0.5 1.00.0
0.1
0.2
0.3
0.4
0.5
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 0.2138 × 106 (0.4×des)
= 0.345
= −16.8° (i = −51.0°) Pt,inPinPexTt,in
= 2.245 psia
= 2.176 psia
= 2.068 psia
= 53.27°F
δ in ≈
Pt,in / Pex = 1.0857 (0.77×des)
1 reading; number 65977
1.68 inchMain = 0.212
ReCx,in = 0.1360 × 106
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / Cx-1.0 -0.5 0.0 0.5 1.00.0
0.1
0.2
0.3
0.4
0.5
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 0.5324 × 106 (1.0×des)
= 0.347
= −16.8° (i = −51.0°) Pt,inPinPexTt,in
= 5.557 psia
= 5.384 psia
= 5.112 psia
= 53.61°F
δ in ≈
Pt,in / Pex = 1.0871 (0.77×des)
1 reading; number 65854
1.47 inchMain = 0.213
ReCx,in = 0.3380 × 106
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / Cx-1.0 -0.5 0.0 0.5 1.00.0
0.2
0.4
0.6
0.8
1.0
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 0.5295 × 106 (1.0×des)
= 0.622
= −16.8° (i = −51.0°) Pt,inPinPexTt,in
= 3.496 psia
= 3.243 psia
= 2.692 psia
= 56.52°F
δ in ≈
Pt,in / Pex = 1.2985 (0.92×des)
1 reading; number 65731
1.49 inchMain = 0.329
ReCx,in = 0.3172 × 106
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / Cx-1.0 -0.5 0.0 0.5 1.00.0
0.2
0.4
0.6
0.8
1.0
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 1.055 × 106 (2.0×des)
= 0.720
= −16.8° (i = −51.0°) Pt,inPinPexTt,in
= 6.412 psia
= 5.885 psia
= 4.540 psia
= 59.69°F
δ in ≈
Pt,in / Pex = 1.4123 (1.00×des)
1 reading; number 65607
1.35 inchMain = 0.352
ReCx,in = 0.6134 × 106
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / Cx-1.0 -0.5 0.0 0.5 1.00.0
0.2
0.4
0.6
0.8
1.0
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 2.106 × 106 (4.0×des)
= 0.717
= −16.8° (i = −51.0°) Pt,inPinPexTt,in
= 12.763 psia
= 11.718 psia
= 9.061 psia
= 57.27°F
δ in ≈
Pt,in / Pex = 1.4087 (1.00×des)
1 reading; number 65484
1.23 inchMain = 0.352
ReCx,in = 1.225 × 106
2.0×Reb 0.72
4.0×Reb 0.72
1.0×Reb 0.72
1.0×Reb 0.35
0.4×Reb 0.35
sonic
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
e) i=−51.0°, 4⋅Reb, M2,i=0.72
sonic
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
sonicx / Cx
0.0 0.2 0.4 0.6 0.8 1.0-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
j) i=−51.0°, 1⋅Reb, M2,i=0.62
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
low Tu high Tu
i=0.0°
i=−51.0°
β1= −16.8° i = −51.0°
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x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
Blade Loading – Effects of Negative Incidence
11
P −P2Pt,1 −P2
Cps =
ReCx,2= 4.0×Reb Ma2,i = 0.72
Low Tu
ReCx,2= 0.4×Reb Ma2,i = 0.35
High Tu
x / Cx0.0 0.2 0.4 0.6 0.8 1.0
-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
Cps
s / Cx-1.0 -0.5 0.0 0.5 1.00.0
0.2
0.4
0.6
0.8
1.0
expr bld 6, 50.0%expr bld 6, 10.0%expr bld 4, 50.0%expr bld 4, 30.0%expr bld 4, 15.0%expr bld 4, 10.0%expr bld 5, 50.0%expr bld 5, 30.0%expr bld 5, 15.0%expr bld 5, 10.0%
Mais
NASA Glenn Research CenterTransonic Turbine Blade CascadeRR1 VSPT Blade Loading
ReCx,exMais,ex
αin
no inlet turbulence grid
= 2.113 × 106 (4.0×des)
= 0.718
= 28.0° (i = −6.2°) Pt,inPinPexTt,in
= 12.984 psia
= 11.753 psia
= 9.208 psia
= 63.79°F
δ in ≈
Pt,in / Pex = 1.4101 (1.00×des)
1 reading; number 67344
1.21 inchMain = 0.380
ReCx,in = 1.315 × 106
blade %span 6 50% 6 10% 4 50% 4 30% 4 15% 4 10% 5 50% 5 30% 5 15% 5 10% UND 50%
i=0.0°
i=−51.0°
β1= −16.8° i = −51.0° x / Cx
0.0 0.2 0.4 0.6 0.8 1.0-1.2-1.0-0.8-0.6-0.4-0.20.00.20.40.60.81.0
NASA 1.00xReb; Ma2=0.72UND 1.00xReb; Ma2=0.72UND 0.40xReb, Ma2=0.72UND 0.11xReb, Ma2=0.72UND 0.09xReb, Ma2=0.72
Cps
Determination of PS cove separation
Facility Match Point
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HALF-SPAN FLOWFIELD RESULTS
12
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Total Pressure Coefficient Contours and Secondary Flow Vectors
13
i = +5.8° (Cruise)
i = −36.7° (Takeoff)
NASA
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)
ReCx,1 =
ReCx,2,i =
0.3891 × 106
0.5310 × 106 (1.0×des)
Ma2,i =
PR =
0.721
1.4139(1.00×des)
Ma1 = 0.463 turb grid 0 α1 = 40.0° (cruise, i=+5.8°)
P2 = 2.219 psiaPt,1 = 3.137 psia Tt,1 = 47.40°FP1 = 2.709 psia
δ 1 ≈ 1.44 in. bleed = 0.0%
5-hole probe measurements, 3-hole probe measurements, velocity vectors
y / S-1.0 -0.5 0.00.0
0.1
0.2
0.3
0.4
0.5z⎯H
-1.0 -0.5 0.00.0
0.1
0.2
0.3
0.4
0.5
-1.0 -0.5 0.00.0
0.1
0.2
0.3
0.4
0.5
PS SS
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)
ReCx,1 =
ReCx,2,i =
0.2947 × 106
0.5274 × 106 (1.0×des)
Ma2,i =
PR =
0.671
1.3517(0.95×des)
Ma1 = 0.321 turb grid 0 α1 = −2.5° (take-off, i=−36.7°)
P2 = 2.433 psiaPt,1 = 3.289 psia Tt,1 = 52.43°FP1 = 3.062 psia
δ 1 ≈ 1.50 in. bleed = 0.0%
5-hole probe measurements, 3-hole probe measurements, velocity vectors
y / S-1.0 -0.5 0.00.0
0.1
0.2
0.3
0.4
0.5z⎯H
-1.0 -0.5 0.00.0
0.1
0.2
0.3
0.4
0.5
-1.0 -0.5 0.00.0
0.1
0.2
0.3
0.4
0.5
PS SS
SS PS
SS PS
i = −36.7°
i = +5.8°
Reb; M2,i = 0.72; low Tu UND
ReCx,s = 0.09� Reb; M2,i = 0.72; high Tu
Pt,1 −PtPt,1 −P2
Cpt , Ω =
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P.S.exitmetalangle
S.S.exitmetalangle
avg.exitmetalangle
-65 -60 -55 -50 -450.0
0.1
0.2
0.3
0.4
0.5z⎯H
(c) β [deg] (Mass Averaged)-1.0 0.0 1.0 2.0
0.0
0.1
0.2
0.3
0.4
0.5z⎯H
(d) γ [deg] (Mass Averaged)
0.0 0.2 0.4 0.6 0.80.0
0.1
0.2
0.3
0.4
0.5
4 5-hole high5 5-hole high4 5-hole low4 3-hole low5 5-hole low5 3-hole low
z⎯H
psg. probe Tuin⎯⎯ ⎯⎯⎯ ⎯⎯
(a) Cpt (Area Averaged)0.00 0.05 0.10 0.15 0.20 0.25
0.0
0.1
0.2
0.3
0.4
0.5z⎯H
(b) Cpt (Area Averaged)
(detailed view)
Pitchwise Integrated Data, i = +5.8° (Cruise)
14
0.0 0.2 0.4 0.6 0.80.0
0.1
0.2
0.3
0.4
0.5
4 5-hole high5 5-hole high4 5-hole low4 3-hole low5 5-hole low5 3-hole low
z⎯H
psg. probe Tuin⎯⎯ ⎯⎯⎯ ⎯⎯
(a) Cpt (Area Averaged)0.00 0.05 0.10 0.15 0.20 0.25
0.0
0.1
0.2
0.3
0.4
0.5z⎯H
(b) Cpt (Area Averaged)
(detailed view)
0.5
0.4
0.3
0.2
0.1
0.0
z H
0.5
0.4
0.3
0.2
0.1
0.0
z H
0 0.04 0.08 0.12 0.16 Ω (Area Averaged)
−64 −60 −56 −52 β [deg]
−55.5°
527,000 0.72
212,000 0.72
61,250 0.72
46,400 0.72
212,000 0.35
ReCx,2 M2,i
NASA UND
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MIDSPAN HEAT TRANSFER MEASUREMENTS
15
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Midspan Stanton Number Distributions
i = +5.8° (Cruise) i = −36.8° (Takeoff)
influence of Reynolds number at high Tu
inflection indicates laminar separation. slope reversal indicates transition start.
laminar flow
transitional flow
PS SS PS SS
separation and downstream reattachment
i=0.0°
i=+5.8°
i=0.0°
i=−36.8°
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MIDSPAN EXIT SURVEYS
17
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Effects of Reynolds Number and Mach Number at i = +5.8°
18
SS PS
0.09·Reb 0.72 0.12·Reb 0.72 0.40·Reb 0.72 1.00·Reb 0.72 0.40·Reb 0.35 1.00·Reb 0.35
SS PS
Low Tu
High Tu
UND ReCx,2 Ma2,i
0.09·Reb 0.72 0.12·Reb 0.72 0.40·Reb 0.72 1.00·Reb 0.72 0.40·Reb 0.35 1.00·Reb 0.35
ReCx,2 Ma2,i
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Effects of Reynolds Number and Mach Number at i = −51.0°
19
Low Tu
High Tu
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 0 α1 = −16.8° (i=−51.0°)midspan 5-hole probe measurements
PS exit metal angle
avg exit metal angleSS exit metal angle
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
PS SSPS
SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.621.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
ReCx,2 Ma2,i4.0⋅Reb 0.722.0⋅Reb 0.721.0⋅Reb 0.621.0⋅Reb 0.350.4⋅Reb 0.35
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 0 α1 = −16.8° (i=−51.0°)midspan 5-hole probe measurements
PS exit metal angle
avg exit metal angleSS exit metal angle
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
PS SSPS
SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.621.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
ReCx,2 Ma2,i4.0⋅Reb 0.722.0⋅Reb 0.721.0⋅Reb 0.621.0⋅Reb 0.350.4⋅Reb 0.35
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 5 α1 = −16.8° (i=−51.0°)midspan 5-hole probe measurements
PS exit metal angle
avg exit metal angleSS exit metal angle
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
PS SSPS
SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.621.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
ReCx,2 Ma2,i4.0⋅Reb 0.722.0⋅Reb 0.711.0⋅Reb 0.601.0⋅Reb 0.350.4⋅Reb 0.35
NASA
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Effects of Reynolds Number at Ma2,i = 0.72, i = −51.0°
High Tu
UND
SS PS 0.09·Reb
0.12·Reb
0.40·Reb
1.00·Reb
ReCx,2
i=0.0°
i=−51.0°
β1= −16.8° i = −51.0°
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Effects of Inlet Flow Angle
21
ReCx,2= 5.30 x 105 (1.0·Reb); M2=0.72; Low Tu
PS SS PS SS PS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.1
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9 i = +15.8°i = 0.0°i = −36.7°i = −51.0°
Cpt Pt,1 − PtCpt = ⎯⎯⎯⎯Pt,1 − P2
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)
ReCx,2,i = PR = turb grid 0 α1 =
5-hole probe measurements1.00×des 1.00×des
i=0.0°
i=−36.8°
i=+15.8°
i=−51.0°NASA
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Effects of Inlet Flow Angle
22
SS PS
ReCx,2= 4.64 x 104 (0.09·Reb); M2=0.72; High Tu
UND i=0.0°
i=−36.8°
i=+5.8°
i=−51.2°
i=−16.2°
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LOSS BUCKETS
23
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Half-Span Average Loss Buckets
24
Low Tu High Tu
-60 -50 -40 -30 -20 -10 0 10 20incidence, i [deg]
Facility Re/Reb M2,iUND 0.09 0.72UND 0.12 0.72UND 0.40 0.72UND 1.00 0.72NASA 1.00 0.72
-60 -50 -40 -30 -20 -10 0 10 200.00
0.05
0.10
0.15
0.20
0.25
0.30
incidence, i [deg]
CptFacility Re/Reb M2,iUND 0.09 0.72UND 0.12 0.72UND 0.40 0.72UND 1.00 0.72NASA 1.00 0.72NASA 0.40 0.35
Ω ,
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Midspan Loss Buckets
25
Low Tu High Tu
-60 -50 -40 -30 -20 -10 0 10 20incidence, i [deg]
Facility Re/Reb M2,iUND 0.09 0.72UND 0.12 0.72UND 0.40 0.72UND 1.00 0.72NASA 4.00 0.72NASA 2.00 0.72NASA 1.00 0.72NASA 1.00 0.35NASA 0.40 0.35
NASA: solid = passage 4open = passage 5
-60 -50 -40 -30 -20 -10 0 10 200.00
0.05
0.10
0.15
0.20
0.25
0.30
incidence, i [deg]
Facility Re/Reb M2,iUND 0.09 0.72UND 0.12 0.72UND 0.40 0.72UND 1.00 0.72NASA 4.00 0.72NASA 2.00 0.72NASA 1.00 0.72NASA 1.00 0.35NASA 0.40 0.35
NASA: solid = passage 4open = passage 5
Ω ,Cpt
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Summary • Complementary facilities provided data over a wider range of flow
conditions: – NASA’s larger scale provided higher Reynolds number data; – UND’s smaller scale provided lower Reynolds number data and match points.
• Data highlighted the effects of: – Reynolds number; – Exit Mach number; – Inlet turbulence levels; – Wide incidence range; – Relative inlet boundary layer thickness;
• On the following: – Blade loading; – Wake profiles; – Blade row loss levels; – Blade row turning levels; – Blade surface boundary layer state; – Exit flow field characteristics.
26
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Midspan Loss Buckets
28
Low Tu High Tu
-60 -50 -40 -30 -20 -10 0 10 20incidence, i [deg]
Facility Re/Reb M2,iUND 0.09 0.72UND 0.12 0.72UND 0.40 0.72UND 1.00 0.72NASA 4.00 0.72NASA 2.00 0.72NASA 1.00 0.72NASA 1.00 0.35NASA 0.40 0.35
NASA: solid = passage 4open = passage 5
-60 -50 -40 -30 -20 -10 0 10 200.00
0.05
0.10
0.15
0.20
0.25
0.30
incidence, i [deg]
Facility Re/Reb M2,iUND 0.09 0.72UND 0.12 0.72UND 0.40 0.72UND 1.00 0.72NASA 4.00 0.72NASA 2.00 0.72NASA 1.00 0.72NASA 1.00 0.35NASA 0.40 0.35
NASA: solid = passage 4open = passage 5
Ω ,Cpt
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Midspan Loss Scaling
29
Re−0.5 Scaled Loss Bucket Re−0.1 Scaled Loss Bucket Low Tu High Tu
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
-60 -50 -40 -30 -20 -10 0 10 20
ωco
rrec
ted
(Are
a Av
erag
ed)
i, Incidence [deg]
4 0.72 4
4 0.72 5
2 0.72 4
2 0.72 5
1 0.72 4
1 0.72 5
1 0.35 4
1 0.35 5
0.4 0.35 4
0.4 0.35 5
(𝑹𝒆𝒄𝒙,𝟐)/〖𝑹𝒆〗_𝒃
4.0 0.72 44.0 0.72 52.0 0.72 42.0 0.72 51.0 0.72 41.0 0.72 51.0 0.35 41.0 0.35 50.4 0.35 40.4 0.35 5
x
y
0.6 0.8 1 1.2 1.4 1.6 1.8 2
0
2
4
6
8
10
ReCx,2⎯⎯Reb M2,i passage
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
-60 -50 -40 -30 -20 -10 0 10 20
ωco
rrec
ted
(Are
a Av
erag
ed)
i, Incidence [deg]
4 0.72 4
4 0.72 5
2 0.72 4
2 0.72 5
1 0.72 4
1 0.72 5
1 0.35 4
1 0.35 5
1 0.35 4
1 0.35 5
(𝑹𝒆𝒄𝒙,𝟐)/〖𝑹𝒆〗_𝒃 M2,i
4.0 0.72 44.0 0.72 52.0 0.72 42.0 0.72 51.0 0.72 41.0 0.72 51.0 0.35 41.0 0.35 50.4 0.35 40.4 0.35 5
x
y
0.6 0.8 1 1.2 1.4 1.6 1.8 2
0
2
4
6
8
10
ReCx,2⎯⎯Reb M2,i passage
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Ainley-Mathieson Midspan Loss Scaling
30
Low Tu High Tu
0
1
2
3
4
5
6
7
8
9
-15 -10 -5 0 5
ω/ω
i = 0
i / is
4 0.72 4
2 0.72 4
1 0.72 4
1 0.35 4
0.4 0.35 4
M2,i Passage
0
1
2
3
4
5
6
7
8
9
-12 -10 -8 -6 -4 -2 0 2 4
ω/ωs
i/is
4 0.72 4
4 0.72 5
2 0.72 4
2 0.72 5
1 0.72 4
1 0.72 5
1 0.35 4
1 0.35 5
1 0.35 4
1 0.35 5
(𝑹𝒆𝒄𝒙,𝟐)/〖𝑹𝒆〗_𝒃 M2,i
4.0 0.72 44.0 0.72 52.0 0.72 42.0 0.72 51.0 0.72 41.0 0.72 51.0 0.35 41.0 0.35 50.4 0.35 40.4 0.35 5
x
y
0.6 0.8 1 1.2 1.4 1.6 1.8 2
0
2
4
6
8
10
ReCx,2⎯⎯Reb M2,i passage
0
1
2
3
4
5
6
7
8
9
-12 -10 -8 -6 -4 -2 0 2 4
ω/ωs
i/is
4 0.72 4
4 0.72 5
2 0.72 4
2 0.72 5
1 0.72 4
1 0.72 5
1 0.35 4
1 0.35 5
1 0.35 4
1 0.35 5
(𝑹𝒆𝒄𝒙,𝟐)/〖𝑹𝒆〗_𝒃 M2,i
4.0 0.72 44.0 0.72 52.0 0.72 42.0 0.72 51.0 0.72 41.0 0.72 51.0 0.35 41.0 0.35 50.4 0.35 40.4 0.35 5
x
y
0.6 0.8 1 1.2 1.4 1.6 1.8 2
0
2
4
6
8
10
ReCx,2⎯⎯Reb M2,i passage
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Exit Flow Angles
31
Passage 5Passage 4
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 0 α1 = 45.0° (i=+10.8°)midspan 5-hole probe measurements
PS exit metal angle
avg exit metal angle
SS exit metal angley / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
PS SS PS SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.721.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
4.0⋅Reb 0.722.0⋅Reb 0.721.0⋅Reb 0.721.0⋅Reb 0.350.4⋅Reb 0.35
ReCx,2 Ma2,iPassage 5Passage 4
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 4 α1 = 45.0° (i=+10.8°)midspan 5-hole probe measurements
PS exit metal angle
avg exit metal angle
SS exit metal angley / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
PS SS PS SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.721.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
4.0⋅Reb 0.722.0⋅Reb 0.721.0⋅Reb 0.721.0⋅Reb 0.350.4⋅Reb 0.35
ReCx,2 Ma2,i
i = +10.8°
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 0 α1 = −16.8° (i=−51.0°)midspan 5-hole probe measurements
PS exit metal angle
avg exit metal angleSS exit metal angle
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
PS SSPS
SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.621.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
ReCx,2 Ma2,i4.0⋅Reb 0.722.0⋅Reb 0.721.0⋅Reb 0.621.0⋅Reb 0.350.4⋅Reb 0.35
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 5 α1 = −16.8° (i=−51.0°)midspan 5-hole probe measurements
PS exit metal angle
avg exit metal angleSS exit metal angle
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
PS SSPS
SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.621.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
ReCx,2 Ma2,i4.0⋅Reb 0.722.0⋅Reb 0.711.0⋅Reb 0.601.0⋅Reb 0.350.4⋅Reb 0.35
i = −51.0°
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 0 α1 = 18.1° (i=−16.1°)midspan 5-hole probe measurements
PS SS PS SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.721.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
ReCx,2 Ma2,i4.0⋅Reb 0.722.0⋅Reb 0.721.0⋅Reb 0.721.0⋅Reb 0.350.4⋅Reb 0.35
PS exit metal angle
avg exit metal angle
SS exit metal angley / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
Passage 4 Passage 5
CW-22 RR1 VSPT Aerodynamic Measurements - Downstream Station 02 (x/Cx = 1.0702)tip gap = 0.0% turb grid 5 α1 = 18.1° (i=−16.1°)midspan 5-hole probe measurements
PS SS PS SSPS SS
y / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-0.10.00.10.20.30.40.50.60.70.8
4.0×des 0.722.0×des 0.721.0×des 0.721.0×des 0.350.4×des 0.35
Pt,1 − PtPt,1 − P2
CptCpt =
ReCx,2 Ma2,i4.0⋅Reb 0.722.0⋅Reb 0.721.0⋅Reb 0.721.0⋅Reb 0.350.4⋅Reb 0.35
PS exit metal angle
avg exit metal angle
SS exit metal angley / S-2.0 -1.5 -1.0 -0.5 0.0 0.5-65
-60
-55
-50
-45
-40
-35β2[deg]
i = −16.1°
Low Tu High Tu
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Average Exit Flow Angle
32
Low Tu High Tu
Δβ2 = β2 + 55.54°
-2
0
2
4
6
8
10
12
14
-60 -50 -40 -30 -20 -10 0 10 20
Δβ2
[deg
]
i, Incidence [deg]
4 0.72 4
4 0.72 5
2 0.72 4
2 0.72 5
1 0.72 4
1 0.72 5
1 0.35 4
1 0.35 5
1 0.35 4
1 0.35 5
(𝑹𝒆𝒄𝒙,𝟐)/〖𝑹𝒆〗_𝒃 M2,i
4.0 0.72 44.0 0.72 52.0 0.72 42.0 0.72 51.0 0.72 41.0 0.72 51.0 0.35 41.0 0.35 50.4 0.35 40.4 0.35 5
x
y
0.6 0.8 1 1.2 1.4 1.6 1.8 2
0
2
4
6
8
10
ReCx,2⎯⎯Reb M2,i passage
-2
0
2
4
6
8
10
12
14
-60 -50 -40 -30 -20 -10 0 10 20
Δβ2
[deg]
i, Incidence [deg]
4.0 0.72 44.0 0.72 42.0 0.72 42.0 0.72 51.0 0.72 41.0 0.72 51.0 0.35 41.0 0.35 50.4 0.35 40.4 0.35 5
(𝑹𝒆𝒄𝒙,𝟐)/〖𝑹𝒆〗_𝒃M2,i Passage
4.0 0.72 44.0 0.72 52.0 0.72 42.0 0.72 51.0 0.72 41.0 0.72 51.0 0.35 41.0 0.35 50.4 0.35 40.4 0.35 5
x
y
0.6 0.8 1 1.2 1.4 1.6 1.8 2
0
2
4
6
8
10
ReCx,2⎯⎯Reb M2,i passage