compressor formulation.xlsx

8/13/2019 Compressor Formulation.xlsx

1/17

2

207.974

831.56655

101325

288.1531.5

0.6

0.56

1

1

0.89

1.1

31.5

0.5440382

1.4

287.058

31.5

0.549779

288.15

101325

0.6

197.2023

268.7966

328.6705

79439.2

0.034013

0.910016

103.0379

168.1426

247.3585

NOTLAR

Stage Loading AEDsys veya EXCEL

kullanilarak hesaplanacak. Cikan

sonuc Gas Turbine Perfomance

Pg 163*ten kontrol edilecek. Entry Mach

Diffusion Factor

Rotor Chord/Height Ratio

Stator Chord/Height Ratio

Polytrophic Efficiency

Exit Angle for Last Stage

Exit Mach for Last Stage

Solidity

RPM`ler kontrol edilecek.

Kompressor ve Turbin RPM

degerleri birbirini tutmali.

Inlet Total TemperatureEntry Angle

AEDsys Inputs ( Some values are calculated by

using formulas in EXCEL)

Number of Stages

Mass Flow Rate

Rotor Angular Speed

Inlet Total Pressure

SORU: TAPER RATIO ?=?

HUB/TIP RATIO , YA DA HUB/TIPRATIO RATIO NEY FADE EDER :)

Gas Constant

u1

v1r

P1

M1

Tt1 (K)

Ratio of Specific Heats

STAGE 1

v1

Blade Tip Mach Number nemli

bir kst, baseline engine referans

alnabilir.

TURBINES and PERFORMANCE

kitabndaki mean line

performance hesaplama

prosedr kullanlacak ( sayfa

M1R

Pt1

a1

alfa1 (derece)

alfa1 (rad)

V1

MFP (M1)

T1


2/17

1.471123

0.973789

55.79399

299.0956

313.3163

135828.9

0.90673

1.516694

0.82216

1.201406

0.3

0.64826

0.194478

0.453782

0.421369

539.0714

161.7214

55.79399

0.973789

346.2929

185608.6

0.858838

299.0956

301.7864

348.2561

114681.7

0.039697

0.566257

247.3585

168.1426

103.0379

0.612801

0.549779

31.5

197.2023

313.3163

130763.4

0.934343

0.409676

0.597824

0.244914

0.35291

0.421369

31.5

0.549779

346.2929

179627

0.544038

197.2023

tan beta 1

A1

alpha 2 (rad)

alpha 2 (derece)

V1R

Tip Speed

Rim Speed

tan beta 2

Tt2

Tt3

Hub to Tip Ratio

Mean Radius

T1/T3

v2

V3

Hub Radius

Blade Height

M2

V2

alfa3 (derece)

alfa3 (rad)

T2

a2

M2R

ROTOR

INLET

ROTOREXIT

Tt2r

P2

Pt2

MFP (M2)

A2

Pt3

Tip Radius

beta 1 rad

beta 1 derece

M3/M1

Tt1r

Pt1r

Pt2r

M3

M1R/M1

beta 2 rad

beta 2 derece

u2

V2R

v2r

Hub to Tip Ratio

Tip Radius

Hub Radius

Blade Height

Mean Radius


3/17

326.9396

362.4788

146877.4

0.031973

0.315316

103.0379

168.1426

94.52476

1.471123

0.973789

55.79399

114.2954

333.4407

128378.6

0.790339

0.47686

0.570628

0.27211

0.2985180.421369

1.20178

50.31782

1.77278 1.77278039

0.88079

0.56739

0.411878

0.479864

831.5666

0.411878

0.479864

FOR EACH

STAGE

beta 3 rad

beta 3 derece

v3r

tan beta 3

Angular Speed

Dg. Of Reaction

ki farkl forml -

kitap

Stage Loading Coef.

Flow Coef. (phi)

delta Tt

Kademe Verimi

V3R

Tip Radius

Hub Radius

Blade HeightMean Radius

v3

T3

a3

STATOR

EXIT

P3

MFP (M3)

A3

Tt3r

Pt3r

M3R

Pt3 / Pt1

u3

Hub to Tip Ratio

Scaklk Oran


4/17

0.56

0.89

1.1

0.8

1.2520

0.69

0.45-0.55

With loses

R.R. - R.S.

1.4

1005 pheli

287.058

207.974

3.193022350.3964

0.11

0.101 179628.93

-1.956756688

Stator Loss Check

Pt3' (kitap)

Pt3'-Pt3

gama

cp(J/kg.K)

R (J\kg.K)

mdot (kg/s)

Disk Hz (wr) (U)

Hub to Tip Ratio (stage 1

- rotor inlet ) 0.3

Flow Coefficient

Blade Tip Mach Number


Stage Loading

Blade Gap Value (%)

Belirlenmi

Belirlenecek

Limit

Deitirilecek

ASSUMPTIONS

Diffusion Factor

Solidity

Taper Ratio

Constants

Rotor Loss

Stator Loss


5/17

4

77.27

831.5666

268560390

30.7

0.53

0.56

1

1

0.9

1.1

30.7

0.434739

1.4

287.058

30.7 30.7 30.7

0.535816 0.535816 0.535816

390 450.5522 510.3546

268560 423140.9 626591.8

0.53 0.49125 0.460272

204.1682 204.1682 204.1682

369.2552 429.8075 489.6098

385.223 415.6098 443.582

221798.5 358786.3 541886.2

0.031415 0.029783 0.028381

a1

P1

MFP (M1)

Entry Mach

Diffusion Factor

STAGE 1

IPC comp. LPC olarak

degerlendirilecek. Gas turbine

performance kitabinda sayfa 460

alfa1 (derece)

alfa1 (rad)

Tt1 (K)

Pt1

M1

V1

T1




Solidity




Gas Constant

Rotor Angular Speed

Inlet Total PressureInlet Total Temperature

AEDsys Inputs ( Some values are calculated

by using formulas in EXCEL)

Number of Stages

Mass Flow Rate

Entry Angle

STAGE 3STAGE 2


6/17

0.802142 0.291613 0.273224

104.2366 104.2366 104.2366

175.5545 175.5545 175.5545

254.291 99.73787 99.73787

1.448502 1.448502 1.448502

0.966564 0.966564 0.966564

55.38003 55.38003 55.38003

309.0037 121.1973 121.1973

416.7734 437.1175 496.9198

338817 325204.5 320207.6

0.926886 0.93694 0.944526

1.513476 1.513476 1.513476

0.859118 0.877857 0.89213

0.210347 0.151358 0.114159

0.834781 0.878295 0.906812

0.469971 0.459084 0.452218

0.392323 0.403211 0.410077

0.077648 0.055873 0.042141

0.431147 0.431147 0.431147

390.8125 381.7587 376.0492

326.2428 335.2966 341.0061

55.38003 55.38003 55.38003

0.966564 0.966564 0.966564

450.5522 510.3546 569.5547

431942.2 556123.4 513621.8

0.767779 0.716464 0.674619

309.0037 309.0037 309.0037

403.0481 462.8505 522.0506

402.4642 431.2898 458.0418

292460.2 395058.7 378672.2

0.038384 0.037323 0.03628

0.507295 0.47339 0.445741

254.291 254.291 254.291

175.5545 175.5545 175.5545

104.2366 104.2366 104.2366

0.593757 0.593757 0.593757

0.535816 0.535816 0.535816

30.7 30.7 30.7

204.1682 204.1682 204.1682

416.7734 437.1175 496.9198

328827.1 323379.6 318618.9

0.174124 0.148029 0.174188

0.861259 0.880812 0.861212

0.463286 0.458469 0.463297

0.399009 0.403825 0.398997

0.064277 0.054644 0.0643

Tip Radius

Hub Radius

Blade Height

Mean Radius

tan beta 1

beta 1 rad

beta 1 dereceV1R

Tt1r

Tip Speed

Rim Speed

tan beta 2

beta 2 rad

T1/T3

A1

Hub to Tip Ratio

Pt1r

ROTOR

EXIT

alpha 2 (derece)

alpha 2 (rad)

Tt2

Pt2

M2

V2

T2a2

P2

MFP (M2)

M2R

beta 2 derece

V2R

Tt2r

Pt2r

A2

v2

u2

v2r

M1R

v1

u1

v1r

M3/M1

M1R/M1

Hub to Tip Ratio

Tip Radius

Hub Radius

Blade Height

ROTOR

INLET


7/17

0.431147 0.431147 0.431147

30.7 30.7 30.7

0.535816 0.535816 0.535816

450.5522 510.3546 569.5547

423140.9 626591.8 885369.3

0.49125 0.460272 0.434739

204.1682 204.1682 204.1682429.8075 489.6098 548.8099

415.6098 443.582 469.6343

358786.3 541886.2 777548.2

0.029783 0.028381 0.027162

0.291613 0.273224 0.258067

104.2366 104.2366 104.2366

175.5545 175.5545 175.5545

99.73787 99.73787 99.73787

1.448502 1.448502 1.448502

0.966564 0.966564 0.966564

55.38003 55.38003 55.38003

121.1973 121.1973 121.1973

437.1175 496.9198 556.12

325204.5 320207.6 315800.4

0.151358 0.114159 0.089179

0.878295 0.906812 0.926454

0.459084 0.452218 0.447607

0.403211 0.410077 0.414687

0.055873 0.042141 0.03292

0.431147 0.431147 0.431147

1.155262 1.132731 1.11599853.53099 53.53099 53.53099

1.575592 1.480811 1.412992 3.296728

0.893381 0.894299 0.894989

0.558078 0.552537 0.547985

0.41853 0.41853 0.41853

0.489654 0.489654 0.489654

Scaklk Orandelta Tt

Pt3 / Pt1

Mean Radius

A3

Hub to Tip Ratio

Tip Radius

Hub Radius

Blade Height

beta 3 rad

Kademe Verimi

Dg. Of Reaction

Stage Loading Coef.

Flow Coef. (phi)

FOR EACH

STAGE

STATOR

EXIT

alfa3 (derece)

alfa3 (rad)

Tt3

Pt3

M3

V3T3

a3

P3

MFP (M3)

M3R

v3

u3

v3r

tan beta 3

beta 3 derece

V3R

Tt3r

Pt3r

Mean Radius


8/17

0.56

0.9

1.1

0.81.25

20

0.69

0.45-0.55

1.4

1005

287.058

77.27

3.152336

358.5276

0.1

0.0729

831.5666Angular Speed

ASSUMPTIONS

Diffusion Factor


Blade Tip Mach Number

Solidity

Taper RatioBlade Tip Mach Number

Blade Gap Value (%)

Stage Loading

Flow Coefficient

cp(J/kg.K)

R (J\kg.K)

mdot (kg/s)

Belirlenmi

BelirlenecekLimit

Deitirilecek

Constants

gama

Rotor Loss

Stator Loss

Disk Hz (wr) (U)

Stator Loss Check

Pt3' (kitap) 423145.5345

Pt3'-Pt3 -4.651876347


9/17


10/17


11/17

1-1.45


12/17

1

77.27

1830.257

918350575

30

0.42

0.56

1

1

0.9

1.1

30

0.32399

1.4

287.058

30 30 30 30 30

0.523599 0.523599 0.523599 0.523599 0.523599

575 629.8159 684.2891 738.4693 792.3961

918350 1223425 1588764 2019769 2521871

0.42 0.400692 0.383922 0.369171 0.356058

198.4281 198.4281 198.4281 198.4281 198.4281

555.4053 610.2212 664.6944 718.8746 772.8014

472.4478 495.2135 516.8444 537.4962 557.292

813403.1 1095305 1435151 1838333 2310268

0.026434 0.025451 0.024574 0.023783 0.023066

alfa1 (derece)

alfa1 (rad)

Tt1 (K)

Pt1

M1

V1

T1

a1

P1

MFP (M1)

STAGE 1 STAGE 2 STAGE 3 STAGE 4 STAGE 5

Diffusion Factor


AEDsys Inputs ( Some values are calculated

by using formulas in EXCEL)

Number of Stages

Entry Angle

Kademe sayisi, total sicaklik

yukselmesine gore kararverilecek.

Kuzgun HPC icin efficiency,

diffusion ve solidity degerlerini,

fan icin ayni degerlerde almislar.

Inlet Total PressureInlet Total Temperature

Mass Flow Rate

Rotor Angular Speed

Gas Constant



Solidity




Entry Mach


13/17

0.63 44 59 0 .24 28 0.23 26 38 0.22 37 0 .2 15 75 4

99.21404 99.21404 99.21404 99.21404 99.21404

171.8438 171.8438 171.8438 171.8438 171.8438

245.5992 98.51682 98.51682 98.51682 98.51682

1.4292 1.4292 1.4292 1.4292 1.4292

0.960277 0.960277 0.960277 0.960277 0.960277

55.01983 55.01983 55.01983 55.01983 55.01983

299.7486 120.2377 120.2377 120.2377 120.2377

600.1196 617.4159 671.8891 726.0693 779.9961

1066604 1038359 1029372 1021124 1013504

0.954029 0.958148 0.961578 0.964479 0.966965

1.510616 1.510616 1.510616 1.510616 1.510616

0.910171 0.918048 0.924632 0.930219 0.935021

0.088136 0.071912 0.059782 0.050475 0.043177

0.67 0.722312 0.763614 0.796675 0.823478

0.225624 0.218771 0.213648 0.209716 0.206634

0.151168 0.158021 0.163144 0.167076 0.170158

0.074456 0.06075 0.050503 0.042641 0.036475

0.188396 0.188396 0.188396 0.188396 0.188396

412.95 400.4074 391.0302 383.8349 378.1929

276.6765 289.219 298.5962 305.7915 311.4335

55.01983 55.01983 55.01983 55.01983 55.01983

0.960277 0.960277 0.960277 0.960277 0.960277

629.8159 684.2891 738.4693 792.3961 846.1014

1235903 1482314 1427602 1381916 1343100

0.618141 0.591232 0.567677 0.546822 0.528182

299.7486 299.7486 299.7486 299.7486 299.7486

585.1147 639.588 693.7682 747.695 801.4003

484.9192 506.9895 528.0269 548.1647 567.5101

955169.2 1170180 1147344 1127766 1110716

0.034614 0.033715 0.032872 0.032083 0.031343

0.409198 0.391385 0.375792 0.361986 0.349647

245.5992 245.5992 245.5992 245.5992 245.5992

171.8438 171.8438 171.8438 171.8438 171.8438

99.21404 99.21404 99.21404 99.21404 99.21404

0 .57 735 0 .5 77 35 0.57 73 5 0 .57 735 0 .5 77 35

0.523599 0.523599 0.523599 0.523599 0.523599

30 30 30 30 30

198.4281 198.4281 198.4281 198.4281 198.4281

600.1196 617.4159 671.8891 726.0693 779.9961

1043684 1034246 1025616 1017669 1010307

0.079069 0.07055 0.078049 0.085576 0.093131

0.698835 0.726853 0.702142 0.678041 0.654527

0.221794 0.218196 0.221364 0.224543 0.227734

0.154998 0.158596 0.155429 0.152249 0.149058

0.066797 0.0596 0.065935 0.072294 0.078676

Rim Speed

Hub to Tip Ratio

Tip Radius

Hub Radius

Blade Height

beta 2 derece

V2R

Tt2r

Pt2r

A2

Tt1r

Pt1r

ROTOR

EXIT

alpha 2 (derece)

alpha 2 (rad)

Tt2

Pt2

M2

V2

T2a2

P2

MFP (M2)

M2R

v2

u2

v2r

tan beta 2

beta 2 rad

Tip Radius

Hub Radius

Blade Height

Mean Radius

Tip Speed

ROTOR

INLET

M1R

v1

u1

v1r

tan beta 1

M3/M1

M1R/M1

T1/T3

A1

Hub to Tip Ratio

beta 1 rad

beta 1 dereceV1R


14/17

0.188396 0.188396 0.188396 0.188396 0.188396

30 30 30 30 30

0.523599 0.523599 0.523599 0.523599 0.523599

629.8159 684.2891 738.4693 792.3961 846.1014

1223425 1588764 2019769 2521871 3100524

0.400692 0.383922 0.369171 0.356058 0.344295

198.4281 198.4281 198.4281 198.4281 198.4281610.2212 664.6944 718.8746 772.8014 826.5067

495.2135 516.8444 537.4962 557.292 576.3311

1095305 1435151 1838333 2310268 2856400

0.025451 0.024574 0.023783 0.023066 0.022412

0.2428 0.232638 0.2237 0.215754 0.208626

99.21404 99.21404 99.21404 99.21404 99.21404

171.8438 171.8438 171.8438 171.8438 171.8438

98.51682 98.51682 98.51682 98.51682 98.51682

1.4292 1.4292 1.4292 1.4292 1.4292

0.960277 0.960277 0.960277 0.960277 0.960277

55.01983 55.01983 55.01983 55.01983 55.01983

120.2377 120.2377 120.2377 120.2377 120.2377

617.4159 671.8891 726.0693 779.9961 833.7014

1038359 1029372 1021124 1013504 1006426

0.071912 0.059782 0.050475 0.043177 0.037349

0.722312 0.763614 0.796675 0.823478 0.845465

0.218771 0.213648 0.209716 0.206634 0.204172

0.158021 0.163144 0.167076 0.170158 0.17262

0.06075 0.050503 0.042641 0.036475 0.031552

0.188396 0.188396 0.188396 0.188396 0.188396

1.095332 1.086491 1.079177 1.073025 1.06777650.22441 50.22441 50.22441 50.22441 50.22441

1.332199 1.29862 1.271284 1.248594 1.229454

0.895853 0.896226 0.896536 0.896799 0.897023

0.541986 0.539105 0.536613 0.534435 0.532515

0.424535 0.424535 0.424535 0.424535 0.424535

0.498368 0.498368 0.498368 0.498368 0.498368

1830.257 1830.257 1830.257 1830.257 1830.257

Mean Radius

FOR EACH

STAGE

Scaklk Orandelta Tt

Pt3 / Pt1

Kademe Verimi

Dg. Of Reaction

Stage Loading Coef.

Flow Coef. (phi)

Angular Speed

STATOR

EXIT

alfa3 (derece)

alfa3 (rad)

Tt3

Pt3

M3

V3T3

a3

P3

MFP (M3)

M3R

v3

u3

A3

Hub to Tip Ratio

Tip Radius

Hub Radius

Blade Height

beta 3 rad

beta 3 derece

V3R

Tt3r

Pt3r

v3r

tan beta 3

Mean Radius


15/17

0.56

0.9

1.1

0.81.34

25

0.69

0.45-0.55

1.4

1005

287.058

77.27

3.117691

344.8132

0.1

0.04885

30 30

0.523599 0.523599

846.1014 899.6113

3100524 3761209

0.344295 0.333664

198.4281 198.4281

826.5067 880.0166

576.3311 594.695

2856400 3482197

0.022412 0.021812

Disk Hz (wr) (U)

Rotor Loss

Stator Loss

Hub to Tip Ratio

(stage 1 - rotor inlet ) 0.67

STAGE 6 STAGE 7

Stage Loading

Flow Coefficient

Constants

gama

cp(J/kg.K)

R (J\kg.K)

mdot (kg/s)

ASSUMPTIONS

Diffusion Factor


Solidity

Taper RatioBlade Tip Mach Number

Blade Gap Value (%)

Stator Loss Check

Pt3' (kitap) 1223423.381

Pt3'-Pt3 1.538426437

Belirlenmi

Belirlenecek

LimitDeitirilecek


16/17

0.208626 0.202184

99.21404 99.21404

171.8438 171.8438

98.51682 98.51682

1.4292 1.4292

0.960277 0.960277

55.01983 55.01983

120.2377 120.2377

833.7014 887.2113

1006426 999818.8

0.96912 0.971007

1.510616 1.510616

0.939194 0.942855

0.037349 0.03262

0.845465 0.863697

0.204172 0.202175

0.17262 0.174618

0.031552 0.027557

0.188396 0.188396

373.6871 370.0315

315.9394 319.595

55.01983 55.01983

0.960277 0.960277

899.6113 952.9475

1309639 1280438

0.511385 0.496143

299.7486 299.7486

854.9102 908.2464

586.1504 604.1582

1095673 1082256

0.03065 0.029998

0.338528 0.328437

245.5992 245.5992

171.8438 171.8438

99.21404 99.21404

0.57735 0.57735

0.523599 0.523599

30 30

198.4281 198.4281

833.7014 887.2113

1003451 997038.3

0.100713 0.108323

0.631582 0.609184

0.230937 0.234151

0.145855 0.142641

0.085081 0.09151


17/17

0.188396 0.188396

30 30

0.523599 0.523599

899.6113 952.9475

3761209 4509432

0.333664 0.32399

198.4281 198.4281880.0166 933.3528

594.695 612.4516

3482197 4193154

0.021812 0.021259

0.202184 0.196322

99.21404 99.21404

171.8438 171.8438

98.51682 98.51682

1.4292 1.4292

0.960277 0.960277

55.01983 55.01983

120.2377 120.2377

887.2113 940.5475

999818.8 993625.3

0.03262 0.028731

0.863697 0.878963

0.202175 0.200532

0.174618 0.17626

0.027557 0.024272

0.188396 0.188396

1.063243 1.05928850.22441 50.22441

1.213088 1.198932 4.910363

0.897218 0.897388

0.530808 0.52928

0.424535 0.424535

0.498368 0.498368

1830.257 1830.257

compressor formulation.xlsx

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