Well Stirred Reactor and Lots of Other Stuff

8/12/2019 Well Stirred Reactor and Lots of Other Stuff

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0

500

1000

1500

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

1/tau_

res

teta=efficiency

point A1/tau=1237.2

teta=0.78

point B1/tau=407.4

teta=0.98


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0

500

1000

1500

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

1/tau_

res

teta=efficiency

Two possiblesolutiond for

given 1/tau

This function represents

the reaction rate

2210HC phi =0.9


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0

500

1000

1500

0 0.2 0.4 0.6 0.8 1 1.2

1/minimumt

au

phi

approximate lean limit


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teta phi term pressure t temp term teta term exp term 1/tau

1E-10 1.082226385 1 0.999999999 9999999998 1.39125E-22 0.001038425

0.01 1.082226385 1 0.894179876 98.40547916 3.13783E-21 2.06083E-10

0.02 1.082226385 1 0.804949719 48.41096669 4.92102E-20 1.43132E-09

0.03 1.082226385 1 0.728954747 31.749796 5.69856E-19 9.84408E-09

0.04 1.082226385 1 0.663655382 23.42196716 5.10965E-18 5.92824E-08

0.05 1.082226385 1 0.607099155 18.42748025 3.68528E-17 3.07727E-070.06 1.082226385 1 0.557764049 15.09966867 2.20503E-16 1.38612E-06

0.07 1.082226385 1 0.514448728 12.72424678 1.12256E-15 5.48469E-06

0.08 1.082226385 1 0.476194231 10.94407181 4.96531E-15 1.93143E-05

0.09 1.082226385 1 0.442227194 9.560731146 1.94182E-14 6.12795E-05

0.1 1.082226385 1 0.411918072 8.45517724 6.81361E-14 0.000177125

0.11 1.082226385 1 0.384749988 7.551652603 2.17196E-13 0.000471022

0.12 1.082226385 1 0.360295212 6.799652267 6.35682E-13 0.001162396

0.13 1.082226385 1 0.3381972 6.164211285 1.72383E-12 0.002682319

0.14 1.082226385 1 0.318156743 5.620354718 4.3654E-12 0.005826363

0.15 1.082226385 1 0.299921166 5.149767636 1.03941E-11 0.011982584

0.16 1.082226385 1 0.283275854 4.738713866 2.34078E-11 0.023453071

0.17 1.082226385 1 0.268037517 4.3766893 5.01191E-11 0.0438846770.18 1.082226385 1 0.254048827 4.055524094 1.02494E-10 0.078818903

0.19 1.082226385 1 0.241174093 3.768768398 2.01001E-10 0.136362781

0.2 1.082226385 1 0.229295761 3.511262349 3.79363E-10 0.227972454

0.21 1.082226385 1 0.218311559 3.278828938 6.91275E-10 0.369330101

0.22 1.082226385 1 0.208132157 3.06805063 1.2196E-09 0.581283823

0.23 1.082226385 1 0.198679235 2.876104266 2.08862E-09 0.890810368

0.24 1.082226385 1 0.189883885 2.70063723 3.47989E-09 1.331952966

0.25 1.082226385 1 0.181685271 2.539673345 5.65235E-09 1.946681931

0.26 1.082226385 1 0.174029515 2.391540481 8.96713E-09 2.785624328

0.27 1.082226385 1 0.166868757 2.254814246 1.39177E-08 3.908611157

0.28 1.082226385 1 0.160160356 2.128273755 2.11658E-08 5.384995843

0.29 1.082226385 1 0.153866223 2.010866536 3.1583E-08 7.293705921

0.3 1.082226385 1 0.147952238 1.901680466 4.62991E-08 9.72300005

0.31 1.082226385 1 0.142387766 1.799921132 6.67564E-08 12.76991414

0.32 1.082226385 1 0.137145234 1.704893442 9.47705E-08 16.53939259

0.33 1.082226385 1 0.132199766 1.615986574 1.32596E-07 21.14311298

0.34 1.082226385 1 0.127528873 1.532661586 1.83002E-07 26.69802371

0.35 1.082226385 1 0.123112177 1.454441145 2.49344E-07 33.32462474

0.36 1.082226385 1 0.118931182 1.380900976 3.35653E-07 41.14502967

0.37 1.082226385 1 0.114969061 1.311662687 4.46715E-07 50.28085446

0.38 1.082226385 1 0.111210483 1.246387733 5.88166E-07 60.85098261

0.39 1.082226385 1 0.10764145 1.184772314 7.66579E-07 72.96925922

0.4 1.082226385 1 0.104249163 1.126543023 9.89558E-07 86.74216716

0.41 1.082226385 1 0.101021898 1.071453148 1.26583E-06 102.2665376

0.42 1.082226385 1 0.097948898 1.019279489 1.60535E-06 119.62734440.43 1.082226385 1 0.095020279 0.969819629 2.01936E-06 138.8956281

0.44 1.082226385 1 0.092226947 0.922889571 2.5205E-06 160.1265906

0.45 1.082226385 1 0.089560521 0.878321689 3.12292E-06 183.3578955

0.46 1.082226385 1 0.087013267 0.835962955 3.84229E-06 208.6082037

0.47 1.082226385 1 0.084578037 0.795673381 4.69594E-06 235.8759665

0.48 1.082226385 1 0.08224822 0.757324666 5.7029E-06 265.1384934

0.49 1.082226385 1 0.080017689 0.720799001 6.88396E-06 296.3513053

0.5 1.082226385 1 0.077880764 0.685988019 8.26173E-06 329.4477755

0

0.001

0.002

0.003

0.004

0.005

0.0060.007

0.008

0.009

0.01

0 0.5 1 1.5

tau residance

tau residance

0

0.2

0.4

0.6

0.8

1

1.2

0 0.01

teta

teta

0

0.005

0.010.015

0.02

0.025

0.03

0.035

0.04

0.045

0.05

0 0.2 0.4 0.6 0.8 1 1.2

min tau

min t-100

-50

0

50

100

150

0 0.5 1 1.5

second derivative

second derivative

1/ta

u_

res


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0.51 1.082226385 1 0.075832168 0.652791877 9.86073E-06 364.3390607

0.52 1.082226385 1 0.073866995 0.621118427 1.17073E-05 400.9143132

0.53 1.082226385 1 0.071980683 0.590882501 1.38299E-05 439.0411661

0.54 1.082226385 1 0.070168976 0.562005255 1.62588E-05 478.5664759

0.55 1.082226385 1 0.068427908 0.534413605 1.90263E-05 519.317307

0.56 1.082226385 1 0.066753777 0.508039707 2.21666E-05 561.1021366

0.57 1.082226385 1 0.065143122 0.482820498 2.57162E-05 603.71226080.58 1.082226385 1 0.063592704 0.45869729 2.97133E-05 646.9233757

0.59 1.082226385 1 0.062099494 0.435615392 3.41981E-05 690.497314

0.6 1.082226385 1 0.060660651 0.413523786 3.92129E-05 734.1839083

0.61 1.082226385 1 0.059273511 0.39237482 4.48017E-05 777.7229614

0.62 1.082226385 1 0.057935573 0.372123943 5.10106E-05 820.8462968

0.63 1.082226385 1 0.056644488 0.352729454 5.78873E-05 863.2798676

0.64 1.082226385 1 0.055398047 0.334152286 6.54816E-05 904.7459027

0.65 1.082226385 1 0.054194171 0.316355799 7.38446E-05 944.9650684

0.66 1.082226385 1 0.053030901 0.299305601 8.30294E-05 983.6586259

0.67 1.082226385 1 0.051906393 0.282969379 9.30906E-05 1020.550569

0.68 1.082226385 1 0.050818907 0.267316749 0.000104084 1055.369721

0.69 1.082226385 1 0.0497668 0.252319112 0.000116068 1087.8517840.7 1.082226385 1 0.048748521 0.237949535 0.0001291 1117.741316

0.71 1.082226385 1 0.047762605 0.224182627 0.000143241 1144.79364

0.72 1.082226385 1 0.046807664 0.210994438 0.000158553 1168.776653

0.73 1.082226385 1 0.045882386 0.198362357 0.000175098 1189.472554

0.74 1.082226385 1 0.04498553 0.186265026 0.000192939 1206.679452

0.75 1.082226385 1 0.044115917 0.174682251 0.00021214 1220.212884

0.76 1.082226385 1 0.043272432 0.163594931 0.000232768 1229.907194

0.77 1.082226385 1 0.042454015 0.152984981 0.000254887 1235.616815

0.78 1.082226385 1 0.041659662 0.142835271 0.000278565 1237.217409

0.79 1.082226385 1 0.040888419 0.13312956 0.000303868 1234.606883

0.8 1.082226385 1 0.040139377 0.123852438 0.000330865 1227.706273

0.81 1.082226385 1 0.039411674 0.11498927 0.000359623 1216.460473

0.82 1.082226385 1 0.03870449 0.106526145 0.00039021 1200.83882

0.83 1.082226385 1 0.038017044 0.098449818 0.000422695 1180.835496

0.84 1.082226385 1 0.037348593 0.090747663 0.000457147 1156.469737

0.85 1.082226385 1 0.036698427 0.083407611 0.000493634 1127.7858

0.86 1.082226385 1 0.036065871 0.076418097 0.000532224 1094.852621

0.87 1.082226385 1 0.035450282 0.069767986 0.000572986 1057.763075

0.88 1.082226385 1 0.034851044 0.063446496 0.000615988 1016.632664

0.89 1.082226385 1 0.034267571 0.057443088 0.000661297 971.5973525

0.9 1.082226385 1 0.033699304 0.051747324 0.000708982 922.8100993

0.91 1.082226385 1 0.033145705 0.046348651 0.000759108 870.4352456

0.92 1.082226385 1 0.032606265 0.041236077 0.000811743 814.6392235

0.93 1.082226385 1 0.032080494 0.036397618 0.000866951 755.5745853

0.94 1.082226385 1 0.031567924 0.031819331 0.000924799 693.3510530.95 1.082226385 1 0.031068106 0.027483428 0.000985351 627.9791854

0.96 1.082226385 1 0.030580613 0.023364265 0.00104867 559.2496582

0.97 1.082226385 1 0.030105033 0.019418432 0.001114819 486.4365337

0.98 1.082226385 1 0.029640973 0.015554442 0.00118386 407.395055

0.99 1.082226385 1 0.029188056 0.011494883 0.001255854 314.4975841

1 1.082226385 1 0.02874592 9.99998E-05 0.00133086 2.855462843


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tau residance E_over_Ru 15098 epsilon 1E-10

962.9971817 m_power_ 0.25

4852419766 n_power_ 1.5

698656647.1

101583922.1 Ti 300

16868415.77 ro_inlet 1.3

3249637.094 Tafts 2500721438.2432 Tr 8.333333333

182325.6055 E_over_Ru 6.0392

51775.19699 R_univers 8314.51 phi_WSR 0.9 0.00080827

16318.68212 phi min tau

5645.735249 Values for Kerosin represented byC10H22 0.1 185.328899

2123.043482 A_pre_exp 3.8E+11 0.2 6.9077048

860.2923197 A_pre_exp 2136897036 0.3 0.15955504

372.8117561 0.4 0.01801827

171.633652 preaaure r 1 0.5 0.00471734

83.4544562 heating val 47000000 0.6 0.00205794

42.63833961 molecular_ 142 0.7 0.00125379

22.78699711 molecular_ 28.84 0.8 0.0009490512.68731178 Cp_air 1000 0.9 0.00080827

7.333379343 1 0.00072842

4.386494876 Yfstoich 0 .055555556

2.707604927 YO2_air 0.233009709

1.720330001 a_coef 3.61222E+16

1.122573374 b_coeficie 689684519.5

0.750777261

0.513694602

0.358985952

0.255845353

0.185701165

0.137104513

0.102848914

0.078309062

0.060461713

0.047296725

0.037455956

0.03000784

0.024304272

0.019888286

0.016433588

0.013704401

0.011528418

0.00977837

0.0083592930.007199651

0.006245059

0.005453815

0.004793675

0.004239516

0.003771614

0.003374374

0.003035382

au

0

500

000

500

0 0.5 1

teta=efficiency

2210HC


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0.002744696

0.002494299

0.002277691

0.002089574

0.001925605

0.001782207

0.0016564180.001545778

0.001448232

0.001362057

0.001285805

0.001218255

0.001158373

0.001105283

0.00105824

0.001016613

0.000979863

0.000947535

0.0009192430.000894661

0.00087352

0.000855595

0.000840709

0.000828721

0.000819529

0.000813069

0.000809312

0.000808265

0.000809974

0.000814527

0.000822057

0.000832751

0.000846858

0.000864701

0.000886693

0.000913365

0.000945391

0.000983639

0.001029233

0.001083647

0.001148851

0.001227537

0.001323496

0.0014422710.001592409

0.00178811

0.002055767

0.00245462

0.003179675

0.350205923


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1/min tau second derivative

0.005395813

0.144765885

6.267429594 5.983294

55.49921013 43.10912

211.9836563 107.2527

485.9232053 117.4551

797.5811356 37.71838

1053.681343 -55.55771237.217409 -72.5641

1372.827209 -47.9263


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Fuel A cgs A mks Ea/Ru (K) m n

CH4 830000 830000 15098 -0.3 1.3

C2H2 6.5E+12 3.66E+10 15098 0.5 1.25

C2H6 1.1E+12 6.19E+09 15098 0.1 1.65

C3H8 8.6E+11 4.84E+09 15098 0.1 1.65

C4H10 7.4E+11 4.16E+09 15098 0.15 1.6

C5H12 6.4E+11 3.6E+09 15098 0.25 1.5C6H14 5.7E+11 3.21E+09 15098 0.25 1.5

C7H16 5.1E+11 2.87E+09 15098 0.25 1.5

C8H18 4.6E+11 2.59E+09 15098 0.25 1.5

C9H20 4.2E+11 2.36E+09 15098 0.25 1.5

C10H22 3.8E+11 2.14E+09 15098 0.25 1.5


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0

0.2

0.4

0.6

0.8

1

0 1 2 3 4 5 6 7 8 9

fla

mevelocity/premixedflamev

elocity

Non dimensional droplet diameter


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D_norm U_f_liq/U_ kg/sec Properties of Isooctane

0 1 MW 114.23

0.1 0.990099 hfg 300 kj/kg

0.2 0.961538 boiling tem 398.7 K

0.3 0.917431 ro liq 703 kg/m^3

0.4 0.862069 Uf-l 0.6 m/sec

0.5 0.8 K at 500 K 0.0219597510.6 0.735294 Bq 7.609473508

0.7 0.671141 Kevap 1.41708E-07

0.8 0.609756 alfa air 0.000168

0.9 0.552486

1 0.5 D0 1.15005E-05

1.1 0.452489

1.2 0.409836

1.3 0.371747

1.4 0.337838

1.5 0.307692

1.6 0.280899

1.7 0.2570691.8 0.235849

1.9 0.21692

2 0.2

2.1 0.184843

2.2 0.171233

2.3 0.158983

2.4 0.147929

2.5 0.137931

2.6 0.128866

2.7 0.120627

2.8 0.113122

2.9 0.10627

3 0.1

3.1 0.094251

3.2 0.088968

3.3 0.084104

3.4 0.079618

3.5 0.075472

3.6 0.071633

3.7 0.068074

3.8 0.064767

3.9 0.06169

4 0.058824

4.1 0.056148

4.2 0.0536484.3 0.051308

4.4 0.049116

4.5 0.047059

4.6 0.045126

4.7 0.043309

4.8 0.041597

4.9 0.039984

5 0.038462

1ln8

evap

evap

2

q

pgl

gB

C

dt

Dd

fg

boilpg

qh

TTCB

evap

lFuD

D

2

0

0


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5.1 0.037023

5.2 0.035663

5.3 0.034376

5.4 0.033156

5.5 0.032

5.6 0.030902

5.7 0.029865.8 0.028868

5.9 0.027925

6 0.027027

6.1 0.026171

6.2 0.025355

6.3 0.024576

6.4 0.023832

6.5 0.023121

6.6 0.022442

6.7 0.021791

6.8 0.021169

6.9 0.0205727 0.02

7.1 0.019451

7.2 0.018925

7.3 0.01842

7.4 0.017934

7.5 0.017467

7.6 0.017018

7.7 0.016586

7.8 0.016171

7.9 0.01577

8 0.015385

8.1 0.015013

8.2 0.014654

8.3 0.014308


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T teta Cp kj/kmol Cp kj/kg

400 0.4 240.8362 2.108345

420 0.42 250.2607 2.190849

440 0.44 259.4338 2.271153

460 0.46 268.3614 2.349308

480 0.48 277.049 2.425362

500 0.5 285.5018 2.499359520 0.52 293.7247 2.571345

540 0.54 301.7226 2.64136

560 0.56 309.5001 2.709446

580 0.58 317.0618 2.775644

600 0.6 324.4123 2.839992

620 0.62 331.5561 2.902531

640 0.64 338.4974 2.963297

660 0.66 345.2406 3.022329

680 0.68 351.7902 3.079665

700 0.7 358.1502 3.135343

720 0.72 364.3251 3.1894

740 0.74 370.319 3.241872760 0.76 376.1362 3.292797

780 0.78 381.7808 3.342211

800 0.8 387.257 3.390152

820 0.82 392.5691 3.436655

840 0.84 397.7212 3.481758

860 0.86 402.7174 3.525496

880 0.88 407.5619 3.567906

900 0.9 412.2589 3.609025

920 0.92 416.8125 3.648888

940 0.94 421.2268 3.687532

960 0.96 425.506 3.724993

980 0.98 429.6542 3.761308

1000 1 433.6754 3.796511

1020 1.02 437.574 3.83064

1040 1.04 441.3539 3.86373

1060 1.06 445.0193 3.895818

1080 1.08 448.5743 3.926939

1100 1.1 452.023 3.95713

1120 1.12 455.3695 3.986427

1140 1.14 458.618 4.014865

1160 1.16 461.7725 4.04248

1180 1.18 464.8372 4.069309

1200 1.2 467.8162 4.095388

1220 1.22 470.7135 4.120752

1240 1.24 473.5334 4.1454381260 1.26 476.2798 4.169481

1280 1.28 478.9569 4.192917

1300 1.3 481.5689 4.215783

1320 1.32 484.1197 4.238113

1340 1.34 486.6136 4.259945

1360 1.36 489.0545 4.281314

1380 1.38 491.4467 4.302256

1400 1.4 493.7942 4.322807


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1420 1.42 496.1011 4.343002

1440 1.44 498.3716 4.362878

1460 1.46 500.6097 4.382471

1480 1.48 502.8195 4.401816

1500 1.5 505.0051 4.42095

1520 1.52 507.1707 4.439908

1540 1.54 509.3202 4.4587261560 1.56 511.458 4.47744

1580 1.58 513.5879 4.496086

1600 1.6 515.7142 4.5147

1620 1.62 517.8409 4.533318

1640 1.64 519.9722 4.551975

1660 1.66 522.112 4.570708

1680 1.68 524.2646 4.589553

1700 1.7 526.434 4.608545

1720 1.72 528.6244 4.62772

1740 1.74 530.8398 4.647114

1760 1.76 533.0843 4.666763

1780 1.78 535.362 4.6867021800 1.8 537.6771 4.706969

1820 1.82 540.0335 4.727598

1840 1.84 542.4355 4.748626

1860 1.86 544.8871 4.770088

1880 1.88 547.3925 4.79202

1900 1.9 549.9556 4.814459

1920 1.92 552.5807 4.837439

1940 1.94 555.2717 4.860997

1960 1.96 558.0329 4.88517

1980 1.98 560.8683 4.909991

2000 2 563.782 4.935499

2020 2.02 566.7781 4.961727

2040 2.04 569.8607 4.988713

2060 2.06 573.0339 5.016492

2080 2.08 576.3018 5.0451

2100 2.1 579.6685 5.074573

2120 2.12 583.1381 5.104947

2140 2.14 586.7147 5.136258

2160 2.16 590.4024 5.168541

2180 2.18 594.2053 5.201832

2200 2.2 598.1274 5.236168

2220 2.22 602.173 5.271584

2240 2.24 606.346 5.308115

2260 2.26 610.6506 5.345799

2280 2.28 615.0909 5.3846712300 2.3 619.671 5.424766

2320 2.32 624.3949 5.46612

2340 2.34 629.2669 5.508771

2360 2.36 634.2908 5.552752

2380 2.38 639.471 5.5981

2400 2.4 644.8114 5.644852

2420 2.42 650.3162 5.693042

2440 2.44 655.9894 5.742707


16/38

2460 2.46 661.8352 5.793883

2480 2.48 667.8577 5.846605

2500 2.5 674.0609 5.900909

2520 2.52 680.4489 5.956832

2540 2.54 687.026 6.014409

2560 2.56 693.796 6.073676

2580 2.58 700.7632 6.1346692600 2.6 707.9316 6.197423

2620 2.62 715.3054 6.261975

2640 2.64 722.8886 6.328361

2660 2.66 730.6854 6.396616


17/38

M2 f1 f2 f11 f22 p02/p01 T02/T01 ploss

0.3 1.018 1.018 1.0819 1.126 0.960835 0.923204 3.92%

0.307 1.018 1.01885 1.0819 1.131949 0.958581 0.957453 4.14%

0.314 1.018 1.019719 1.0819 1.138034 0.956305 0.991775 4.37%

0.321 1.018 1.020608 1.0819 1.144257 0.95401 1.026138 4.60%

0.328 1.018 1.021517 1.0819 1.150618 0.951696 1.060511 4.83%

0.335 1.018 1.022445 1.0819 1.157115 0.949365 1.094865 5.06%0.342 1.018 1.023393 1.0819 1.16375 0.947019 1.12917 5.30%

0.349 1.018 1.02436 1.0819 1.170521 0.944659 1.163399 5.53%

0.356 1.018 1.025347 1.0819 1.17743 0.942287 1.197525 5.77%

0.363 1.018 1.026354 1.0819 1.184477 0.939903 1.23152 6.01%

0.37 1.018 1.02738 1.0819 1.19166 0.937511 1.265359 6.25%

0.377 1.018 1.028426 1.0819 1.198981 0.935111 1.299018 6.49%

0.384 1.018 1.029491 1.0819 1.206438 0.932704 1.332474 6.73%

0.391 1.018 1.030576 1.0819 1.214033 0.930293 1.365703 6.97%

0.398 1.018 1.031681 1.0819 1.221766 0.927878 1.398684 7.21%

0.405 1.018 1.032805 1.0819 1.229635 0.92546 1.431396 7.45%

0.412 1.018 1.033949 1.0819 1.237642 0.923042 1.46382 7.70%

0.419 1.018 1.035112 1.0819 1.245785 0.920625 1.495936 7.94%0.426 1.018 1.036295 1.0819 1.254066 0.918209 1.527726 8.18%

0.433 1.018 1.037498 1.0819 1.262485 0.915796 1.559175 8.42%

0.44 1.018 1.03872 1.0819 1.27104 0.913388 1.590265 8.66%

0.447 1.018 1.039962 1.0819 1.279733 0.910986 1.620981 8.90%

0.454 1.018 1.041223 1.0819 1.288562 0.90859 1.65131 9.14%

0.461 1.018 1.042504 1.0819 1.297529 0.906202 1.681238 9.38%

0.468 1.018 1.043805 1.0819 1.306634 0.903823 1.710753 9.62%

0.475 1.018 1.045125 1.0819 1.315875 0.901455 1.739843 9.85%

0.482 1.018 1.046465 1.0819 1.325254 0.899098 1.768498 10.09%

0.489 1.018 1.047824 1.0819 1.334769 0.896754 1.796708 10.32%

0.496 1.018 1.049203 1.0819 1.344422 0.894423 1.824465 10.56%

0.503 1.018 1.050602 1.0819 1.354213 0.892106 1.851759 10.79%

0.51 1.018 1.05202 1.0819 1.36414 0.889805 1.878583 11.02%

0.517 1.018 1.053458 1.0819 1.374205 0.887521 1.904932 11.25%

0.524 1.018 1.054915 1.0819 1.384406 0.885254 1.930798 11.47%

0.531 1.018 1.056392 1.0819 1.394745 0.883005 1.956178 11.70%

0.538 1.018 1.057889 1.0819 1.405222 0.880775 1.981066 11.92%

0.545 1.018 1.059405 1.0819 1.415835 0.878566 2.005459 12.14%

0.552 1.018 1.060941 1.0819 1.426586 0.876377 2.029353 12.36%

0.559 1.018 1.062496 1.0819 1.437473 0.87421 2.052747 12.58%

0.566 1.018 1.064071 1.0819 1.448498 0.872066 2.075637 12.79%

0.573 1.018 1.065666 1.0819 1.459661 0.869945 2.098024 13.01%

0.58 1.018 1.06728 1.0819 1.47096 0.867847 2.119906 13.22%

0.587 1.018 1.068914 1.0819 1.482397 0.865775 2.141283 13.42%

0.594 1.018 1.070567 1.0819 1.49397 0.863727 2.162155 13.63%0.601 1.018 1.07224 1.0819 1.505681 0.861706 2.182523 13.83%

0.608 1.018 1.073933 1.0819 1.51753 0.859711 2.202388 14.03%

0.615 1.018 1.075645 1.0819 1.529515 0.857744 2.221752 14.23%

0.622 1.018 1.077377 1.0819 1.541638 0.855804 2.240618 14.42%

0.629 1.018 1.079128 1.0819 1.553897 0.853893 2.258986 14.61%

0.636 1.018 1.080899 1.0819 1.566294 0.85201 2.276861 14.80%

0.643 1.018 1.08269 1.0819 1.578829 0.850157 2.294246 14.98%

0.65 1.018 1.0845 1.0819 1.5915 0.848334 2.311144 15.17%

0.78

0.8

0.82

0.84

0.86

0.88

0.9

0.92

0.940.96

0.98

0

0

0.5

1

1.5

2

2.5

3

0 0.2 0.4 0.6 0.8 1 1.2

T02/T01

T02/T01

0.00%2.00%4.00%6.00%8.00%10.00%

12.00%14.00%16.00%18.00%20.00%

1 1.5 2 2.5

Pressure

loss%

T02/T01

Cd=0.7

M1=0.1

M1=0.2

M1=0.3


18/38

0.657 1.018 1.08633 1.0819 1.604309 0.846541 2.327558 15.35%

0.664 1.018 1.088179 1.0819 1.617254 0.844779 2.343494 15.52%

0.671 1.018 1.090048 1.0819 1.630337 0.843048 2.358955 15.70%

0.678 1.018 1.091937 1.0819 1.643558 0.841349 2.373947 15.87%

0.685 1.018 1.093845 1.0819 1.656915 0.839682 2.388473 16.03%

0.692 1.018 1.095773 1.0819 1.67041 0.838048 2.40254 16.20%

0.699 1.018 1.09772 1.0819 1.684041 0.836446 2.416153 16.36%0.706 1.018 1.099687 1.0819 1.69781 0.834878 2.429317 16.51%

0.713 1.018 1.101674 1.0819 1.711717 0.833343 2.442037 16.67%

0.72 1.018 1.10368 1.0819 1.72576 0.831842 2.454321 16.82%

0.727 1.018 1.105706 1.0819 1.739941 0.830375 2.466173 16.96%

0.734 1.018 1.107751 1.0819 1.754258 0.828942 2.4776 17.11%

0.741 1.018 1.109816 1.0819 1.768713 0.827544 2.488608 17.25%

0.748 1.018 1.111901 1.0819 1.783306 0.826181 2.499204 17.38%

0.755 1.018 1.114005 1.0819 1.798035 0.824853 2.509393 17.51%

0.762 1.018 1.116129 1.0819 1.812902 0.823561 2.519183 17.64%

0.769 1.018 1.118272 1.0819 1.827905 0.822304 2.52858 17.77%

0.776 1.018 1.120435 1.0819 1.843046 0.821083 2.537591 17.89%

0.783 1.018 1.122618 1.0819 1.858325 0.819898 2.546222 18.01%0.79 1.018 1.12482 1.0819 1.87374 0.81875 2.55448 18.13%

0.797 1.018 1.127042 1.0819 1.889293 0.817637 2.562372 18.24%

0.804 1.018 1.129283 1.0819 1.904982 0.816562 2.569904 18.34%

0.811 1.018 1.131544 1.0819 1.920809 0.815523 2.577084 18.45%

0.818 1.018 1.133825 1.0819 1.936774 0.81452 2.583918 18.55%

0.825 1.018 1.136125 1.0819 1.952875 0.813555 2.590413 18.64%

0.832 1.018 1.138445 1.0819 1.969114 0.812627 2.596576 18.74%

0.839 1.018 1.140784 1.0819 1.985489 0.811736 2.602413 18.83%

0.846 1.018 1.143143 1.0819 2.002002 0.810882 2.607931 18.91%

0.853 1.018 1.145522 1.0819 2.018653 0.810065 2.613137 18.99%

0.86 1.018 1.14792 1.0819 2.03544 0.809286 2.618038 19.07%

0.867 1.018 1.150338 1.0819 2.052365 0.808545 2.622639 19.15%

0.874 1.018 1.152775 1.0819 2.069426 0.807841 2.626948 19.22%

0.881 1.018 1.155232 1.0819 2.086625 0.807175 2.630971 19.28%

0.888 1.018 1.157709 1.0819 2.103962 0.806547 2.634715 19.35%

0.895 1.018 1.160205 1.0819 2.121435 0.805957 2.638185 19.40%

0.902 1.018 1.162721 1.0819 2.139046 0.805404 2.641389 19.46%

0.909 1.018 1.165256 1.0819 2.156793 0.80489 2.644332 19.51%

0.916 1.018 1.167811 1.0819 2.174678 0.804413 2.647021 19.56%

0.923 1.018 1.170386 1.0819 2.192701 0.803974 2.649462 19.60%

0.93 1.018 1.17298 1.0819 2.21086 0.803574 2.651661 19.64%

0.937 1.018 1.175594 1.0819 2.229157 0.803211 2.653623 19.68%

0.944 1.018 1.178227 1.0819 2.24759 0.802887 2.655355 19.71%

0.951 1.018 1.18088 1.0819 2.266161 0.802601 2.656863 19.74%

0.958 1.018 1.183553 1.0819 2.28487 0.802352 2.658152 19.76%0.965 1.018 1.186245 1.0819 2.303715 0.802143 2.659227 19.79%

0.972 1.018 1.188957 1.0819 2.322698 0.801971 2.660095 19.80%

0.979 1.018 1.191688 1.0819 2.341817 0.801837 2.660761 19.82%

0.986 1.018 1.194439 1.0819 2.361074 0.801742 2.66123 19.83%

0.993 1.018 1.19721 1.0819 2.380469 0.801684 2.661508 19.83%


19/38

Cd 0.7 M1=0.1 T02/T01 ploss M1=0.2

Mach inlet 0.3 0.990359 0.48%

gamma 1.4 1.170997 0.61%

1.365223 0.75%

1.572576 0.90%

1.792573 1.05%

2.024702 1.22%2.268435 1.39%

2.523221 1.58%

2.788495 1.77%

3.063674 1.97%

3.348167 2.18%

3.641369 2.40%

3.942673 2.62%

4.25146 2.86%

4.567115 3.09%

4.889016 3.34%

5.216547 3.59%

5.549093 3.85%5.886043 4.11%

6.226796 4.38%

6.570759 4.65%

6.917347 4.93%

7.265989 5.21%

7.616127 5.49%

7.967218 5.78%

8.318732 6.08%

8.670159 6.37%

9.021004 6.67%

9.370791 6.97%

9.719065 7.27%

10.06539 7.57%

10.40934 7.88%

10.75053 8.18%

11.08858 8.49%

11.42313 8.79%

11.75385 9.10%

12.08043 9.41%

12.40256 9.71%

12.71999 10.02%

13.03245 10.32%

13.33972 10.63%

13.64157 10.93%

13.93782 11.23%14.2283 11.52%

14.51283 11.82%

14.79129 12.11%

15.06355 12.40%

15.32951 12.69%

15.58908 12.98%

15.84217 13.26%

16.08873 13.54%

0.2 0.4 0.6 0.8 1 1.2

p02/p01

p02/p01

3


20/38

16.32872 13.81%

16.56209 14.08%

16.78884 14.35%

17.00894 14.62%

17.2224 14.87%

17.42924 15.13%

17.62948 15.38%17.82315 15.63%

18.01029 15.87%

18.19095 16.11%

18.36519 16.34%

18.53307 16.57%

18.69466 16.79%

18.85003 17.00%

18.99928 17.22%

19.14248 17.42%

19.27973 17.62%

19.41112 17.82%

19.53674 18.01%19.65671 18.20%

19.77113 18.37%

19.88009 18.55%

19.98372 18.72%

20.08211 18.88%

20.17539 19.03%

20.26367 19.18%

20.34705 19.33%

20.42566 19.47%

20.4996 19.60%

20.569 19.73%

20.63396 19.85%

20.6946 19.96%

20.75104 20.07%

20.80338 20.17%

20.85175 20.27%

20.89624 20.36%

20.93698 20.44%

20.97406 20.52%

21.0076 20.59%

21.03771 20.65%

21.06448 20.71%

21.08802 20.77%

21.10843 20.81%

21.12582 20.85%21.14027 20.89%

21.15189 20.92%

21.16077 20.94%

21.167 20.95%

21.17068 20.96%


21/38

T02/T01 ploss M1=0.3 T02/T01 ploss

0.963223 1.86% 0.923204 3.92%

1.033533 2.06% 0.957453 4.14%

1.105393 2.26% 0.991775 4.37%

1.178689 2.48% 1.026138 4.60%

1.253308 2.69% 1.060511 4.83%

1.329135 2.92% 1.094865 5.06%1.406058 3.14% 1.12917 5.30%

1.483962 3.38% 1.163399 5.53%

1.562738 3.61% 1.197525 5.77%

1.642273 3.85% 1.23152 6.01%

1.72246 4.10% 1.265359 6.25%

1.80319 4.34% 1.299018 6.49%

1.884359 4.59% 1.332474 6.73%

1.965863 4.85% 1.365703 6.97%

2.047602 5.11% 1.398684 7.21%

2.129476 5.37% 1.431396 7.45%

2.211391 5.63% 1.46382 7.70%

2.293252 5.89% 1.495936 7.94%2.374972 6.16% 1.527726 8.18%

2.456461 6.43% 1.559175 8.42%

2.537637 6.70% 1.590265 8.66%

2.618418 6.97% 1.620981 8.90%

2.698728 7.24% 1.65131 9.14%

2.778491 7.51% 1.681238 9.38%

2.857639 7.78% 1.710753 9.62%

2.936102 8.06% 1.739843 9.85%

3.013817 8.33% 1.768498 10.09%

3.090724 8.61% 1.796708 10.32%

3.166766 8.88% 1.824465 10.56%

3.241887 9.15% 1.851759 10.79%

3.31604 9.43% 1.878583 11.02%

3.389175 9.70% 1.904932 11.25%

3.461249 9.97% 1.930798 11.47%

3.532222 10.24% 1.956178 11.70%

3.602056 10.51% 1.981066 11.92%

3.670717 10.78% 2.005459 12.14%

3.738173 11.04% 2.029353 12.36%

3.804396 11.31% 2.052747 12.58%

3.869361 11.57% 2.075637 12.79%

3.933045 11.83% 2.098024 13.01%

3.995427 12.09% 2.119906 13.22%

4.056491 12.34% 2.141283 13.42%

4.116221 12.60% 2.162155 13.63%4.174605 12.85% 2.182523 13.83%

4.231632 13.10% 2.202388 14.03%

4.287296 13.34% 2.221752 14.23%

4.34159 13.58% 2.240618 14.42%

4.39451 13.82% 2.258986 14.61%

4.446055 14.06% 2.276861 14.80%

4.496225 14.29% 2.294246 14.98%

4.545021 14.52% 2.311144 15.17%


22/38

4.592448 14.75% 2.327558 15.35%

4.638509 14.97% 2.343494 15.52%

4.683213 15.19% 2.358955 15.70%

4.726567 15.41% 2.373947 15.87%

4.768579 15.62% 2.388473 16.03%

4.809262 15.83% 2.40254 16.20%

4.848625 16.03% 2.416153 16.36%4.886683 16.23% 2.429317 16.51%

4.923449 16.43% 2.442037 16.67%

4.958937 16.62% 2.454321 16.82%

4.993163 16.81% 2.466173 16.96%

5.026143 16.99% 2.4776 17.11%

5.057894 17.17% 2.488608 17.25%

5.088434 17.34% 2.499204 17.38%

5.11778 17.51% 2.509393 17.51%

5.145953 17.68% 2.519183 17.64%

5.172969 17.84% 2.52858 17.77%

5.19885 18.00% 2.537591 17.89%

5.223615 18.15% 2.546222 18.01%5.247284 18.30% 2.55448 18.13%

5.269878 18.44% 2.562372 18.24%

5.291416 18.58% 2.569904 18.34%

5.311921 18.71% 2.577084 18.45%

5.331413 18.84% 2.583918 18.55%

5.349913 18.97% 2.590413 18.64%

5.367441 19.09% 2.596576 18.74%

5.38402 19.20% 2.602413 18.83%

5.399671 19.31% 2.607931 18.91%

5.414413 19.42% 2.613137 18.99%

5.428269 19.52% 2.618038 19.07%

5.441258 19.61% 2.622639 19.15%

5.453403 19.71% 2.626948 19.22%

5.464723 19.79% 2.630971 19.28%

5.475239 19.87% 2.634715 19.35%

5.484972 19.95% 2.638185 19.40%

5.49394 20.02% 2.641389 19.46%

5.502165 20.09% 2.644332 19.51%

5.509666 20.15% 2.647021 19.56%

5.516462 20.21% 2.649462 19.60%

5.522573 20.26% 2.651661 19.64%

5.528017 20.30% 2.653623 19.68%

5.532814 20.35% 2.655355 19.71%

5.53698 20.38% 2.656863 19.74%

5.540536 20.42% 2.658152 19.76%5.543497 20.44% 2.659227 19.79%

5.545882 20.47% 2.660095 19.80%

5.547709 20.48% 2.660761 19.82%

5.548993 20.50% 2.66123 19.83%

5.549752 20.50% 2.661508 19.83%


23/38

lamda/a lamda/d term f

6 3 1.096623 -0.10595866

6.1 3.05 1.060963 -0.064679016

6.2 3.1 1.027014 -0.027743741

6.3 3.15 0.994669 0.005302456

6.4 3.2 0.963829 0.034863072

6.5 3.25 0.9344 0.0612962786.6 3.3 0.9063 0.084920504

6.7 3.35 0.879448 0.106019268

6.8 3.4 0.853772 0.124845367

6.9 3.45 0.829204 0.141624517

7 3.5 0.805682 0.15655852

7.1 3.55 0.783147 0.169828031

7.2 3.6 0.761544 0.181594972

7.3 3.65 0.740822 0.192004645

7.4 3.7 0.720935 0.201187589

7.5 3.75 0.701839 0.209261206

7.6 3.8 0.683491 0.216331196

7.7 3.85 0.665853 0.222492827.8 3.9 0.648889 0.227832013

7.9 3.95 0.632566 0.232426368

8 4 0.61685 0.236346013

8.1 4.05 0.601713 0.23965438

8.2 4.1 0.587127 0.242408891

8.3 4.15 0.573065 0.24466157

8.4 4.2 0.559501 0.246459585

8.5 4.25 0.546414 0.247845733

8.6 4.3 0.533781 0.248858867

8.7 4.35 0.52158 0.249534288

8.8 4.4 0.509794 0.249904085

8.9 4.45 0.498402 0.249997446

9 4.5 0.487388 0.249840934

9.1 4.55 0.476735 0.249458735

9.2 4.6 0.466427 0.248872882

9.3 4.65 0.456451 0.248103455

9.4 4.7 0.446791 0.24716876

9.5 4.75 0.437434 0.246085494

9.6 4.8 0.428368 0.244868892

9.7 4.85 0.419581 0.243532855

9.8 4.9 0.411062 0.242090075

9.9 4.95 0.4028 0.240552139

10 5 0.394784 0.23892963

10.1 5.05 0.387005 0.237232213

10.2 5.1 0.379454 0.23546871610.3 5.15 0.372122 0.233647204

10.4 5.2 0.365 0.231775044

10.5 5.25 0.358081 0.229858965

10.6 5.3 0.351357 0.227905113

10.7 5.35 0.34482 0.225919102

10.8 5.4 0.338464 0.223906056

10.9 5.45 0.332282 0.221870653

11 5.5 0.326268 0.219817162

0

0.1

0.2

0.3

2 3 4 5

divergingrate

lambda/d

0

5

10

15

20

25

30

35

0 200 400 600 800

t/phi


24/38

11.1 5.55 0.320416 0.217749477

11.2 5.6 0.31472 0.215671147

11.3 5.65 0.309174 0.213585406

11.4 5.7 0.303774 0.211495202

11.5 5.75 0.298514 0.209403212

11.6 5.8 0.293389 0.207311876

11.7 5.85 0.288395 0.20522340511.8 5.9 0.283528 0.203139808

11.9 5.95 0.278783 0.201062904

12 6 0.274156 0.198994342

12.1 6.05 0.269643 0.196935608

12.2 6.1 0.265241 0.194888045

12.3 6.15 0.260945 0.19285286

12.4 6.2 0.256753 0.190831138

12.5 6.25 0.252662 0.188823851

12.6 6.3 0.248667 0.186831865

12.7 6.35 0.244767 0.184855952

12.8 6.4 0.240957 0.182896796

12.9 6.45 0.237236 0.18095500113 6.5 0.2336 0.179031096

13.1 6.55 0.230047 0.177125541

13.2 6.6 0.226575 0.175238737

13.3 6.65 0.223181 0.173371024

13.4 6.7 0.219862 0.171522691

13.5 6.75 0.216617 0.16969398

13.6 6.8 0.213443 0.167885087

13.7 6.85 0.210338 0.166096168

13.8 6.9 0.207301 0.164327342

13.9 6.95 0.204329 0.162578695

14 7 0.20142 0.160850281

14.1 7.05 0.198574 0.159142126

14.2 7.1 0.195787 0.15745423

14.3 7.15 0.193058 0.15578657

14.4 7.2 0.190386 0.154139101

14.5 7.25 0.187769 0.152511759

14.6 7.3 0.185206 0.150904462

14.7 7.35 0.182694 0.149317111

14.8 7.4 0.180234 0.147749595

14.9 7.45 0.177823 0.146201787

15 7.5 0 .17546 0 .144673551

15.1 7.55 0.173143 0.143164737

15.2 7.6 0.170873 0.141675189


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A/S term1 term2 term3 t/phi

1000 31.62278 35.68248 1128.38 30.62278

950 30.82207 34.77898 1071.961 29.82207

900 30 33.85138 1015.542 29

850 29.15476 32.89762 959.1228 28.15476

800 28.28427 31.91538 902.7039 27.28427

750 27.38613 30.90194 846.285 26.38613700 26.45751 29.85411 789.866 25.45751

650 25.4951 28.76814 733.4471 24.4951

600 24.4949 27.63953 677.0282 23.4949

550 23.45208 26.46284 620.6093 22.45208

500 22.36068 25.23133 564.1905 21.36068

450 21.2132 23.93654 507.7716 20.21321

400 20 22.56758 451.3528 19

350 18.70829 21.11004 394.934 17.70829

300 17.32051 19.5441 338.5152 16.32051

250 15.81139 17.84124 282.0966 14.81139

200 14.14214 15.95769 225.678 13.14215

150 12.24745 13.81977 169.2598 11.24747100 10 11.28379 112.8423 9.000039

50 7.071068 7.978846 56.42782 6.071225

0 0 0 1 06 7 8

ax at 4.44

1000 1200

t/phi


26/38

power 1 MW

fuel heating value 50 MJ/Kg

fuel rate 0.02 Kg/sec 20 gr/sec

Kerosene surface tension 0.026 Kg/sec^2

Kerosine density 800 Kg/m^3Kerosine Viscosity 0.0016 kg/m-s

Cv 0.5

air density 1.3 kg/m^3

DP 1000000 pascal

ue 35.3553391 m/sec

d^2 9.0032E-07

d 0.00094885 m 0.949 mm

Rayleigh drop 1.898 mm 1898

aerodynamic break drop 0.128 mm 128crossing air velocity 50 m/sec

micron

with crossing air velocity of 50 m/sec 0.042667 42.66667

Re_liquid 16773.45667

Oh number 0.011389103


27/38

micron

micron

2

8

RaD uCD

pCu Ve

2

2

VC

udm 2

4

4/12/1

22

pC

md V


28/38

dD 2


29/38

q 1.4 2 3 4 5

D/Dchar f1 f2 f3 f4 f5 64 micron

1E-15 1.4E-06 2E-15 3E-30 4E-45 5E-60

0.02 0.291557 0.039984 0.0012 3.2E-05 8E-07

0.04 0.382084 0.079872 0.0048 0.000256 1.28E-05

0.06 0.445586 0.119569 0.010798 0.000864 6.48E-05

0.08 0.495123 0.158979 0.01919 0.002048 0.0002050.1 0.535597 0.19801 0.02997 0.004 0.0005

0.12 0.569486 0.236569 0.043125 0.006911 0.001037

0.14 0.598255 0.274565 0.058639 0.010972 0.001921

0.16 0.622861 0.311912 0.076486 0.016373 0.003276

0.18 0.643972 0.348523 0.096635 0.023304 0.005248

0.2 0.662083 0.384316 0.119044 0.031949 0.007997

0.22 0.677574 0.419211 0.143662 0.042492 0.011707

0.24 0.690744 0.453133 0.170428 0.055113 0.016576

0.26 0.70184 0.48601 0.199267 0.069983 0.022822

0.28 0.711066 0.517773 0.230093 0.08727 0.03068

0.3 0.718595 0.548359 0.262808 0.107129 0.040402

0.32 0.724577 0.577708 0.297297 0.129705 0.0522530.34 0.729141 0.605765 0.333434 0.155129 0.066514

0.36 0.732404 0.632482 0.371077 0.183516 0.083475

0.38 0.734469 0.657812 0.41007 0.214959 0.103434

0.4 0.735428 0.681715 0.450242 0.24953 0.126696

0.42 0.735367 0.704157 0.49141 0.287272 0.153565

0.44 0.73436 0.725109 0.533374 0.328201 0.18434

0.46 0.73248 0.744545 0.575923 0.372296 0.219309

0.48 0.729792 0.762447 0.618834 0.419498 0.258743

0.5 0.726355 0.778801 0.661873 0.469707 0.302885

0.52 0.722227 0.793597 0.704795 0.522777 0.351942

0.54 0.717459 0.806833 0.747348 0.578513 0.406073

0.56 0.7121 0.818509 0.789275 0.636669 0.465376

0.58 0.706196 0.828631 0.830312 0.696943 0.529879

0.6 0.699791 0.837212 0.870194 0.758978 0.599521

0.62 0.692924 0.844265 0.908657 0.822361 0.674139

0.64 0.685635 0.849812 0.945439 0.88662 0.753456

0.66 0.677958 0.853877 0.980282 0.95123 0.837062

0.68 0.669929 0.856488 1.012938 1.015614 0.924405

0.7 0.661579 0.857677 1.043168 1.079146 1.014776

0.72 0.652938 0.85748 1.070747 1.141158 1.107306

0.74 0.644036 0.855938 1.095464 1.20095 1.200955

0.76 0.634899 0.85309 1.11713 1.257797 1.294517

0.78 0.625553 0.848985 1.135573 1.31096 1.386628

0.8 0.616022 0.843668 1.150648 1.359699 1.475776

0.82 0.606329 0.83719 1.162232 1.40329 1.5603250.84 0.596496 0.829604 1.170231 1.441037 1.638551

0.86 0.586544 0.820964 1.17458 1.472288 1.708677

0.88 0.576491 0.811325 1.175241 1.496455 1.768926

0.9 0.566357 0.800745 1.17221 1.513028 1.81758

0.92 0.556158 0.78928 1.165513 1.521591 1.853044

0.94 0.545912 0.77699 1.155205 1.521839 1.87392

0.96 0.535632 0.763933 1.141373 1.513586 1.87907

0.98 0.525334 0.75017 1.124136 1.496783 1.867697

0

0.5

1

1.5

2

0 1

proba

bilitydensity


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1 0.515031 0.735759 1.103638 1.471518 1.839397

1.02 0.504737 0.720759 1.080052 1.438024 1.794215

1.04 0.494463 0.705229 1.053576 1.39668 1.732677

1.06 0.48422 0.689227 1.024428 1.348003 1.655806

1.08 0.474019 0.67281 0.992848 1.292642 1.565107

1.1 0.463871 0.656034 0.959093 1.231367 1.462531

1.12 0.453783 0.638953 0.923432 1.165047 1.3504141.14 0.443766 0.621621 0.886145 1.094633 1.231381

1.16 0.433826 0.60409 0.847518 1.021135 1.108243

1.18 0.423972 0.586409 0.80784 0.945596 0.983869

1.2 0.414209 0.568627 0.767402 0.869062 0.861056

1.22 0.404546 0.55079 0.726488 0.79256 0.7424

1.24 0.394987 0.532943 0.685375 0.717068 0.630185

1.26 0.385537 0.515127 0.644333 0.643493 0.526285

1.28 0.376203 0.497384 0.603614 0.57265 0.432101

1.3 0.366988 0.479751 0.56346 0.505244 0.348529

1.32 0.357896 0.462263 0.52409 0.441857 0.27596

1.34 0.348931 0.444955 0.485706 0.38294 0.21432

1.36 0.340096 0.427856 0.448488 0.328811 0.163131.38 0.331395 0.410997 0.412593 0.279656 0.121587

1.4 0.322829 0.394404 0.378158 0.235537 0.088663

1.42 0.314402 0.3781 0.345293 0.1964 0.063199

1.44 0.306115 0.362109 0.314087 0.162092 0.043993

1.46 0.297969 0.34645 0.284606 0.132375 0.029878

1.48 0.289967 0.331141 0.256893 0.106946 0.019777

1.5 0.282109 0.316198 0.230972 0.085451 0.012747

1.52 0.274397 0.301634 0.206847 0.067507 0.007991

1.54 0.26683 0.28746 0.184503 0.052716 0.004868

1.56 0.25941 0.273688 0.163911 0.040678 0.002878

1.58 0.252136 0.260324 0.145025 0.03101 0.001649

1.6 0.245008 0.247375 0.127788 0.023347 0.000915

1.62 0.238027 0.234846 0.112134 0.017355 0.000491

1.64 0.231192 0.222739 0.097985 0.012733 0.000255

1.66 0.224503 0.211055 0.08526 0.009218 0.000127

1.68 0.217958 0.199796 0.073871 0.006583 6.14E-05

1.7 0.211558 0.188959 0.063728 0.004636 2.85E-05

1.72 0.205301 0.178543 0.054739 0.003218 1.27E-05

1.74 0.199185 0.168542 0.046811 0.002202 5.43E-06

1.76 0.193211 0.158954 0.039854 0.001484 2.22E-06

1.78 0.187376 0.149772 0.033779 0.000985 8.71E-07

1.8 0.18168 0.14099 0.028501 0.000644 3.26E-07

1.82 0.17612 0.1326 0.023938 0.000414 1.17E-07

1.84 0.170695 0.124595 0.020013 0.000262 3.97E-08

1.86 0.165404 0.116965 0.016654 0.000163 1.28E-081.88 0.160245 0.109703 0.013794 9.98E-05 3.95E-09

1.9 0.155216 0.102797 0.011371 6.01E-05 1.15E-09

1.92 0.150315 0.096238 0.009329 3.55E-05 3.17E-10

1.94 0.145541 0.090016 0.007617 2.06E-05 8.24E-11

1.96 0.140891 0.08412 0.006189 1.17E-05 2.02E-11

1.98 0.136363 0.078539 0.005004 6.56E-06 4.67E-12

2 0.131956 0.073263 0.004026 3.6E-06 1.01E-12

2.02 0.127668 0.068279 0.003222 1.94E-06 2.06E-13


31/38

2.04 0.123496 0.063577 0.002567 1.02E-06 3.92E-14

2.06 0.119438 0.059146 0.002034 5.28E-07 6.97E-15

2.08 0.115492 0.054975 0.001604 2.67E-07 1.16E-15

2.1 0.111656 0.051052 0.001258 1.33E-07 1.78E-16

2.12 0.107929 0.047367 0.000981 6.43E-08 2.55E-17

2.14 0.104307 0.043909 0.000762 3.05E-08 3.38E-18

2.16 0.100789 0.040667 0.000588 1.42E-08 4.14E-192.18 0.097373 0.037631 0.000451 6.44E-09 4.68E-20

2.2 0.094056 0.034791 0.000345 2.86E-09 4.86E-21

2.22 0.090836 0.032137 0.000262 1.24E-09 4.64E-22

2.24 0.087711 0.029659 0.000198 5.23E-10 4.05E-23

2.26 0.08468 0.027349 0.000149 2.16E-10 3.24E-24

2.28 0.081739 0.025196 0.000111 8.7E-11 2.36E-25

2.3 0.078888 0.023192 8.25E-05 3.42E-11 1.56E-26

2.32 0.076123 0.021329 6.1E-05 1.31E-11 9.37E-28

2.34 0.073443 0.019599 4.48E-05 4.88E-12 5.09E-29

2.36 0.070846 0.017993 3.27E-05 1.77E-12 2.49E-30

2.38 0.06833 0.016504 2.37E-05 6.27E-13 1.1E-31

2.4 0.065892 0.015125 1.71E-05 2.16E-13 4.35E-332.42 0.063531 0.01385 1.23E-05 7.22E-14 1.54E-34

2.44 0.061245 0.012671 8.77E-06 2.35E-14 4.87E-36

2.46 0.059032 0.011582 6.22E-06 7.42E-15 1.37E-37

2.48 0.05689 0.010578 4.38E-06 2.28E-15 3.43E-39

2.5 0.054817 0.009652 3.07E-06 6.78E-16 7.57E-41

2.52 0.052811 0.0088 2.14E-06 1.96E-16 1.48E-42

2.54 0.050871 0.008016 1.48E-06 5.49E-17 2.53E-44

2.56 0.048995 0.007296 1.02E-06 1.49E-17 3.81E-46

2.58 0.047181 0.006635 6.95E-07 3.93E-18 5.01E-48

2.6 0.045427 0.006028 4.72E-07 1E-18 5.74E-50

2.62 0.043732 0.005472 3.18E-07 2.47E-19 5.71E-52

2.64 0.042093 0.004963 2.14E-07 5.9E-20 4.92E-54

2.66 0.04051 0.004498 1.42E-07 1.36E-20 3.66E-56

2.68 0.038981 0.004073 9.41E-08 3.04E-21 2.34E-58

2.7 0.037504 0.003685 6.19E-08 6.55E-22 1.28E-60

2.72 0.036078 0.003331 4.04E-08 1.36E-22 6E-63

2.74 0.034701 0.003008 2.62E-08 2.73E-23 2.39E-65

2.76 0.033372 0.002714 1.69E-08 5.29E-24 8.08E-68

2.78 0.032089 0.002447 1.08E-08 9.88E-25 2.31E-70

2.8 0.030851 0.002205 6.88E-09 1.78E-25 5.55E-73

2.82 0.029657 0.001984 4.35E-09 3.07E-26 1.12E-75

2.84 0.028505 0.001784 2.73E-09 5.12E-27 1.88E-78

2.86 0.027394 0.001603 1.7E-09 8.21E-28 2.64E-81

2.88 0.026322 0.001439 1.05E-09 1.26E-28 3.07E-84

2.9 0.025289 0.001291 6.46E-10 1.87E-29 2.95E-872.92 0.024293 0.001157 3.94E-10 2.66E-30 2.33E-90

2.94 0.023333 0.001036 2.38E-10 3.63E-31 1.51E-93

2.96 0.022408 0.000927 1.43E-10 4.75E-32 7.96E-97

2.98 0.021517 0.000829 8.56E-11 5.96E-33 3.4E-100

3 0.020659 0.00074 5.07E-11 7.17E-34 1.2E-103

3.02 0.019832 0.000661 2.99E-11 8.26E-35 3.3E-107

3.04 0.019035 0.000589 1.74E-11 9.1E-36 7.4E-111

3.06 0.018269 0.000525 1.01E-11 9.58E-37 1.3E-114


32/38

3.08 0.01753 0.000467 5.82E-12 9.66E-38 1.9E-118

3.1 0.01682 0.000416 3.32E-12 9.29E-39 2.1E-122

3.12 0.016136 0.000369 1.89E-12 8.54E-40 1.9E-126

3.14 0.015478 0.000328 1.06E-12 7.49E-41 1.3E-130

3.16 0.014845 0.000291 5.92E-13 6.26E-42 7.2E-135

3.18 0.014236 0.000258 3.28E-13 4.99E-43 3E-139


33/38

qDq eDqDd

dQf

1

2 3 4

D/Dchar

q=1.4

q=5


34/38

combustor power 20000 round to 20

combustor inlet pressure 11 ata

Combustor inlet T 595.1988 K

Mix temp 1500 K

Fuel Heating Value 44500000 joul/kg

Stoichiometric mass ratio 14.5 air/fuel

air density at standard conditions 1.3 Kg/m^3

Combustor flow rates and geometry

step 1 fuel rate 0.000449438 kg/sec 0.449438 gr/sec

step 2 Inlet temperature 595.1987657 K

step 3 E.R 0.4 from GasEQ to comply with 1500

step 4 air flow rate 0.016292135 kg/sec 16.29213 gr/sec

step 5 guess inlet velocity 10 m/sec

Intermidiate calculation air density in the inlet 7.207676237 Kg/m^3

step 6 calculate cold flow area 0.000226039 m^2 2.260387 cm^2

step 6.1 characteristic dimension 0.015034582 m 1.503458cm

step 7 estimate reaction time constant 0.001 sec

step 8 estimate flame holder dimension 0.01 m 1cmstep 9 Estimate flame speed 1 m/sec low turbulence is expe

step 10 estimate combustor length 0.150345822 m

Fuel Injector


35/38

kW

constraint

Iterate on the velocity so it is not larger than the characteristic dimension of the combustorted

120

2

11

M

p

p

20

2

11 M

T

T


36/38

power 0.02 MW Power multiplye

fuel heating value 43.5 MJ/Kg

fuel rate 0.0004 Kg/sec 0.4 gr/sec

Kerosene surface tension 0.026 Kg/sec^2

Kerosine density 800 Kg/m^3Kerosine Viscosity 0.0016 kg/m-s

Cv 0.5

air density 1.3 kg/m^3

DP 1000000 pascal

ue 35.3553391 m/sec

d^2 1.8006E-08

d 0.00013419 m 0.134 mm 134.2

Rayleigh drop 0.268 mm 268.4

aerodynamic break drop 0.128 mm 128

crossing air velocity 50 m/sec

drop with crossing air 0.043 42.67 micron

Re_liquid 2372.124992

Oh number 0.030285311


37/38

r 1

micron

micron

2

8

RaD uCD

pCu Ve

2

2

VC

udm 2

4

4/12/1

22

pCm

d V


38/38

dD 2

Well Stirred Reactor and Lots of Other Stuff

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