turbo machinery analysis
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Station cation ( _HUB (mm _TIP (mm _MEAN (mm HTR
1 0 248 332 292.9 0.747 0.153
2 Err:522 260 348 307.2 0.747 0.168
3 Err:522 283 379 334.5 0.747 0.199
4 Err:522 295 395 348.4 0.747 0.216
5 Err:522 299 400 352.9 0.747 0.222
6 Err:522 313 419 369.8 0.747 0.244
7 Err:522 313 419 369.8 0.747 0.2448 Err:522 331 443 391.0 0.747 0.273
9 Err:522 365 480 426.4 0.760 0.305
10 Err:522 370 500 439.8 0.740 0.355
11 Err:522 340 480 415.9 0.708 0.361
12 Err:522 300 470 394.3 0.638 0.411
13 Err:522 270 455 374.1 0.593 0.421
14 Err:522 260 460 373.6 0.565 0.452
15 Err:522 230 470 370.0 0.489 0.528
16 Err:522 205 490 375.6 0.418 0.622
17 Err:522 190 495 374.9 0.384 0.656
Area (m2)
1 2 3 4 5 6 7 8 9 10 11 12
0
100
200
300
400
500
600
248260
283295 299
313 313331
365 370
340
300
332348
379395 400
419 419443
480 500 480 470
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Blade umber of Blad ade Spacing (m Length (mm) Location (m
0
Nozzle 40 46.0 40.00 40.0
xial Space 16.11 56.1
Rotor 71 29.6 30.00 86.1
xial Space 10.36 96.5
Nozzle 50 44.3 45.00 141.5
xial Space 15.52 157.0Rotor 70 33.2 35.00 192.0
xial Space 11.62 203.6
Nozzle 52 51.5 50.00 253.6
xial Space 18.03 271.6
Rotor 57 45.8 40.00 311.6
xial Space 16.05 327.7
Nozzle 59 39.8 50.00 377.7
xial Space 13.94 391.6
Rotor 61 38.1 40.00 431.6
xial Space 13.34 445.0
13 14 15 16 17
270 260
230205
190
455 460470
490 495
Aneesh Inner
Aneesh Outer
0
100
200
300
400
500
600
RadialPo
sition(mm)
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0.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
HubtoT
ipRatio(-),
Are
a(m2)
0.000
0.200
0.400
0.600
0.800
1.000
1.200
PropertyRatio(-
)
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0.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
Param
ter
(-)
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tal Temperature ( emperature ( tal Temperature Ratio mperature Ratio (
1048.0 1034.4 1.000 0.987
1048.0 990.3 0.999 0.945
1048.0 1002.3 0.999 0.956
979.9 965.9 0.934 0.922
979.9 966.6 0.934 0.922
979.9 923.5 0.934 0.881
979.9 923.5 0.934 0.881893.5 873.9 0.852 0.834
893.5 878.1 0.852 0.838
893.5 833.0 0.852 0.795
893.5 827.2 0.852 0.789
782.8 758.0 0.746 0.723
782.8 758.2 0.746 0.723
782.8 724.1 0.746 0.691
782.8 729.6 0.746 0.696
711.0 695.7 0.678 0.664
711.0 697.4 0.678 0.665
50 100 150 200 250 300 350 400 450
Power Turbine Flow Path
Axial Position (mm)
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50 100 150 200 250 300 350 400 450
Power Turbine Area and Hub to Tip Ratio
Axial Position (mm)
Power Turbine Property Ratio
Total(-)
Tem
TotalPress
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Axial Position (mm)
50 100 150 200 250 300 350 400 450
Mach Number and Axial Velocity Ratio
Axial Position (mm)
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tal Pressure (kPressure (kPatal Pressure Ratio (Pressure Ratio(-) Mach #
605.0 573.2 1.000 0.947 0.287
590.3 468.0 0.976 0.774 0.601
590.3 491.4 0.976 0.812 0.533
434.6 409.7 0.718 0.677 0.300
434.6 410.9 0.718 0.679 0.292
423.1 332.7 0.699 0.550 0.611
423.1 332.7 0.699 0.550 0.611278.2 254.6 0.460 0.421 0.367
278.2 259.5 0.460 0.429 0.325
270.0 204.4 0.446 0.338 0.657
270.0 198.9 0.446 0.329 0.689
156.9 138.4 0.259 0.229 0.436
156.9 138.5 0.259 0.229 0.434
153.0 113.1 0.253 0.187 0.683
153.0 116.5 0.253 0.193 0.648
102.7 94.4 0.170 0.156 0.354
102.7 95.3 0.170 0.158 0.334
Tip Radii
Hub Radii
Mean Radii
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HTR
Area (m2)
Temperature Ratio
erature Ratio (-)
Pressure Ratio (-)ure Ratio(-)
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Mach #
Axial Velocity Ratio
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ial Velocity (m/ ial Velocity Ratio
179.63 0.285
191.74 0.304
155.9 0.247
165.89 0.263
161.32 0.256
173.42 0.275
173.42 0.275191.81 0.304
168.81 0.268
174.66 0.277
175.61 0.279
202.91 0.322
197.89 0.314
215.48 0.342
180.79 0.287
180.3 0.286
169.78 0.269
Gamma 1.32
Cp 1170
R 286
a 630
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Rotational Speed (RPM) 6235
Rotational Speed (rad/s) 652.93
Density (Steel)(kg/m^3) 8000
Inner Radius 0.21
Outer Radius 0.49
Annulus Area 0
K 1
Stresses for Untapered Bla 337,769,015Stresses for Blade 338
KAN 24
Max KAN Value 52,000,000
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245.4 328.6 0.98
255.1 341.6 0.98
264.8 354.6 0.98
278.6 367.6 0.98
284.3 380.6 0.98
300 401.2 0.98
315.1 421.8 0.98
330.5 421.9 0.98346 463.2 0.98
354 482.5 0.98
360 501.7 0.98
370.1 520.9 0.98
378.1 540.2 0.98
368.3 540.7 0.98
358.5 541.2 0.98
348.7 541.8 0.98
338.9 542.3 0.98
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Stage # Nozzle Blade Rotor Blade
1 40 71
2 50 70
3 52 57
4 59 61
1 2
10
20
30
40
50
60
70
80
Numbe
NumberofB
lades
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3 4
r of Blade Count
Nozzle Blade
Rotor Blade
Stage #
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Data Labels
Stage 1 0.71 1.68 0.5 1.39 tage 1: W=4160 k
Stage 2 0.72 1.72 0.5 1.56 tage 2: W =5200 k
Stage 3 0.65 1.69 0.5 1.77 tage 3: W=6500 k
Stage 4 0.75 1.36 0.5 1.53 tage 4: W=4140 k
FlowCoefficient
WorkCoefficient
Degree ofReaction
PressureRatio
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Nozzle Losses
Efficiency Total Losses
4160 83.91 0.01 0.1 0 0.12
5200 84.54 0.02 0.1 0 0.13
6500 91.88 0.03 0.1 0 0.13
4140 88.55 0.03 0.06 0 0.1
Gross PowerOutput
ProfileLosses
Secondary Losses
TraillingEdge Losses
Power Output Per Stage(Wtot = 20 MW)
Stage 1:W=4160 kW
Stage 2: W=5200 kW
Stage 3:W=6500 kW
Stage 4:W=4140 kW
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
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Zweifel Chord Axial Chord spect Ratio Solidity Stagger Inlet Mettle
1.07 53.61 40 1.6 0.9 41.7 0
1.07 54.19 45 1.91 0.86 33.9 -24.4
1.11 60.12 50 2.04 0.88 33.7 -26.29
1.09 52.73 50 3.65 0.75 18.5 -32.62
Stage 1 Stage 2 Stage 3 Stage 4
Nozzle Losses by Stage
Profile Losses SecondaryLosses
Trailling EdgeLosses
Stage 1
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
Ro
Pr
TrLo
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Losses Rotor
Exit Mettle Zweifel
62.45 0.02 0.07 0.01 0.03 0.13 1.07
66.11 0.02 0.08 0 0.03 0.13 1.04
66.56 0.02 0.06 0 0.03 0.12 1.09
58.64 0.04 0.04 0 0.02 0.1 1.04
ProfileLosses
Secondary Losses
Edge
Losses
Clearance
LossesTotalLosses
Stage 2 Stage 3 Stage 4
tor Losses by Stage
file Losses SecondaryLosses
illing Edgeses
Tip ClearanceLosses
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Chord Axial Chord Aspect Ratio Solidity Stagger Inlet Mettle Exit Mettle
36 30 2.72 0.86 33.6 24.41 -66.05
42.02 35 2.6 0.84 33.6 23.81 -65.85
48.84 40 3.17 0.89 35 23.07 -66.47
47.55 40 5.52 0.81 32.7 15.82 -62.6
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# Blades fficiency (Turbin Efficiency (Stage)Zweifel Coeff (Z)
40 89.4 88.16 1.59
42 89.43 88.28 1.51
44 89.45 88.38 1.44
46 89.46 88.44 1.38
48 89.46 88.49 1.32
50 89.48 88.53 1.27
52 89.48 88.55 1.2254 89.49 88.56 1.17
56 89.49 88.57 1.13
58 89.49 88.57 1.09
60 89.48 88.56 1.06
62 89.48 88.54 1.02
64 89.48 88.52 0.99
66 89.47 88.50 0.9
68 89.47 88.48 0.93
70 89.46 88.45 0.91
72 89.46 88.42 0.8874 89.45 88.39 0.86
76 89.44 88.36 0.84
78 89.44 88.33 0.81
80 89.43 88.30 0.79
40 45 50 55
87.5
88.0
88.5
89.0
89.5
90.0
Last St
Roto
Efficien
cy
(%)
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60 65 70 75 80
age Rotor Blade Count Optimizatio
Efficiency (Turbine)
Efficiency (Stage)
Zweifel Coeff (Z)
r Count (-)
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Blades fficiency (Turbin fficiency (Stage)weifel Coefficient
40 89.41 88.21 1.618
42 89.44 88.34 1.540
44 89.46 88.43 1.469
46 89.47 88.50 1.405
48 89.48 88.55 1.346
50 89.49 88.58 1.292
52 89.49 88.59 1.24454 89.49 88.60 1.196
56 89.49 88.59 1.153
58 89.49 88.58 1.136
60 89.48 88.56 1.077
62 89.48 88.53 1.042
64 89.47 88.50 1.010
66 89.47 88.47 0.979
68 89.46 88.44 0.951
70 89.45 88.40 0.924
Efficiency
(%)
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40 45 50 55 60 65 70
7.5
8.0
8.5
9.0
9.5
0.0
Last Stage Nozzle Blade Count Optimiza
Efficiency (Turbine
Efficiency (Stage)
Zweifel Coefficien
Nozzle Count (-)
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io
)
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Reaction ficiency (Turbin fficiency (Stage Alpha Exit
0.40 89.33 87.81 4.6
0.42 89.37 87.98 6.0
0.44 89.4 88.14 7.4
0.46 89.43 88.29 8.7
0.48 89.46 88.43 10.0
0.50 89.48 88.55 11.4
0.52 89.5 88.66 12.70.54 89.52 88.76 14.0
0.56 89.54 88.85 15.3
0.58 89.55 88.93 16.5
0.60 89.57 89.01 17.8
87
88
88
89
89
90
Efficiency(%)
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0.40 0.45 0.50 0.55 0.60
.5
.0
.5
.0
.5
.0
Last Stage Degree of Reaction Optimizati
Efficiency (Turbine)
Efficiency (Stage)
Alpha Exit
Degree of Reaction Count (-)
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Chord Length fficiency (Turbin fficiency (Stage)weifel Coefficient
30 89.5 88.6 1.384
35 89.5 88.8 1.184
40 89.5 88.6 1.039
45 89.4 88.3 0.925
50 89.4 88.0 0.835
30
87.5
88.0
88.5
89.0
89.5
90.0
Efficiency
(%)
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32 34 36 38 40 42 44 46 48 50
Last Stage Chord Length Optimization
Efficiency (Turbine)
Efficiency (Stage)
Zweifel Coefficient
Chord Length (mm)
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