Turbo Machinery Analysis

8/9/2019 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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3/34


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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


Nozzle 50 44.3 45.00 141.5

xial Space 15.52 157.0Rotor 70 33.2 35.00 192.0


Nozzle 52 51.5 50.00 253.6


Rotor 57 45.8 40.00 311.6


Nozzle 59 39.8 50.00 377.7


Rotor 61 38.1 40.00 431.6


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 (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 (Stage)

Zweifel Coefficient

Chord Length (mm)

Date post:	29-May-2018
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Turbo Machinery Analysis

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