- Page 2 and 3:
Basics of Fluid Mechanics Genick Ba
- Page 4 and 5:
iii ‘We are like dwarfs sitting o
- Page 6 and 7:
CONTENTS Nomenclature xxiii GNU Fre
- Page 8 and 9:
CONTENTS vii 4 Fluids Statics 69 4.
- Page 10 and 11:
CONTENTS ix 9.2.1 Construction of t
- Page 12 and 13:
CONTENTS xi 12.5 The Working Equati
- Page 14 and 15:
LIST OF FIGURES 1.1 Diagram to expl
- Page 16 and 17:
LIST OF FIGURES xv 4.32 Polynomial
- Page 18 and 19:
LIST OF FIGURES xvii (a) Streamline
- Page 20 and 21:
LIST OF FIGURES xix 12.22The angles
- Page 22 and 23:
LIST OF TABLES 1 Books Under Potto
- Page 24 and 25:
NOMENCLATURE ¯R Universal gas cons
- Page 26 and 27:
LIST OF TABLES xxv w Work per unit
- Page 28 and 29:
The Book Change Log Version 0.3.4.0
- Page 30 and 31:
LIST OF TABLES xxix ˆ Add discussi
- Page 32 and 33:
LIST OF TABLES xxxi ˆ Add the open
- Page 34 and 35:
Notice of Copyright For This Docume
- Page 36 and 37:
GNU FREE DOCUMENTATION LICENSE xxxv
- Page 38 and 39:
GNU FREE DOCUMENTATION LICENSE xxxv
- Page 40 and 41:
GNU FREE DOCUMENTATION LICENSE 7. A
- Page 42 and 43:
CONTRIBUTOR LIST How to contribute
- Page 44 and 45:
CREDITS Typo corrections and other
- Page 46 and 47:
About This Author Genick Bar-Meir i
- Page 48 and 49:
Prologue For The POTTO Project This
- Page 50 and 51:
CREDITS xlix process. Someone has t
- Page 52 and 53:
CREDITS li have a new version every
- Page 54 and 55:
Prologue For This Book Version 0.3.
- Page 56 and 57:
VERSION 0.1 APRIL 22, 2008 lv and t
- Page 58 and 59:
How This Book Was Written This book
- Page 60 and 61:
Preface "In the beginning, the POTT
- Page 62 and 63:
To Do List and Road Map This book i
- Page 64 and 65:
CHAPTER 1 Introduction to Fluid Mec
- Page 66 and 67:
1.2. BRIEF HISTORY 3 lay is one of
- Page 68 and 69:
1.3. KINDS OF FLUIDS 5 results. The
- Page 70 and 71:
1.4. SHEAR STRESS 7 For cases where
- Page 72 and 73:
1.5. VISCOSITYVISCOSITY 9 The veloc
- Page 74 and 75:
1.5. VISCOSITYVISCOSITY 11 always p
- Page 76 and 77:
2.5 2.0 1.5 1.0 0.5 0 100 200 300 4
- Page 78 and 79:
1.5. VISCOSITYVISCOSITY 15 Chemical
- Page 80 and 81:
1.5. VISCOSITYVISCOSITY 17 2 Reduce
- Page 82 and 83:
1.5. VISCOSITYVISCOSITY 19 In very
- Page 84 and 85:
1.6. FLUID PROPERTIES 21 The total
- Page 86 and 87:
1.6. FLUID PROPERTIES 23 straight.
- Page 88 and 89:
1.6. FLUID PROPERTIES 25 Table -1.5
- Page 90 and 91:
1.6. FLUID PROPERTIES 27 Two layers
- Page 92 and 93:
1.6. FLUID PROPERTIES 29 1.6.2.1 Bu
- Page 94 and 95:
1.7. SURFACE TENSION 31 terials. Th
- Page 96 and 97:
1.7. SURFACE TENSION 33 or Or after
- Page 98 and 99:
1.7. SURFACE TENSION 35 The maximum
- Page 100 and 101:
1.7. SURFACE TENSION 37 kipenii,”
- Page 102 and 103:
1.7. SURFACE TENSION 39 Equation (1
- Page 104 and 105:
1.7. SURFACE TENSION 41 Example 1.1
- Page 106 and 107:
1.7. SURFACE TENSION 43 Table -1.7.
- Page 108 and 109:
CHAPTER 2 Review of Thermodynamics
- Page 110 and 111:
2.1. BASIC DEFINITIONS 47 Since the
- Page 112 and 113:
2.1. BASIC DEFINITIONS 49 when the
- Page 114 and 115:
2.1. BASIC DEFINITIONS 51 Utilizing
- Page 116 and 117:
CHAPTER 3 Review of Mechanics This
- Page 118 and 119:
3.2. CENTER OF MASS 55 3.2 Center o
- Page 120 and 121:
3.3. MOMENT OF INERTIA 57 The momen
- Page 122 and 123:
3.3. MOMENT OF INERTIA 59 Equation
- Page 124 and 125:
3.3. MOMENT OF INERTIA 61 Example 3
- Page 126 and 127:
3.3. MOMENT OF INERTIA 63 or x (1 a
- Page 128 and 129:
3.5. ANGULAR MOMENTUM AND TORQUE 65
- Page 130 and 131:
3.5. ANGULAR MOMENTUM AND TORQUE 67
- Page 132 and 133:
CHAPTER 4 Fluids Statics 4.1 Introd
- Page 134 and 135:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 136 and 137:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 138 and 139:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 140 and 141:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 142 and 143:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 144 and 145:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 146 and 147:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 148 and 149:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 150 and 151:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 152 and 153:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 154 and 155:
4.3. PRESSURE AND DENSITY IN A GRAV
- Page 156 and 157:
4.4. FLUID IN A ACCELERATED SYSTEM
- Page 158 and 159:
4.4. FLUID IN A ACCELERATED SYSTEM
- Page 160 and 161:
4.4. FLUID IN A ACCELERATED SYSTEM
- Page 162 and 163:
4.4. FLUID IN A ACCELERATED SYSTEM
- Page 164 and 165:
4.5. FLUID FORCES ON SURFACES 101 T
- Page 166 and 167:
4.5. FLUID FORCES ON SURFACES 103 x
- Page 168 and 169:
4.5. FLUID FORCES ON SURFACES 105 T
- Page 170 and 171:
4.5. FLUID FORCES ON SURFACES 107 I
- Page 172 and 173:
4.5. FLUID FORCES ON SURFACES 109 T
- Page 174 and 175:
4.5. FLUID FORCES ON SURFACES 111 C
- Page 176 and 177:
4.5. FLUID FORCES ON SURFACES 113 A
- Page 178 and 179:
4.5. FLUID FORCES ON SURFACES 115 F
- Page 180 and 181:
4.6. BUOYANCY AND STABILITY 117 In
- Page 182 and 183:
4.6. BUOYANCY AND STABILITY 119 ρ
- Page 184 and 185:
4.6. BUOYANCY AND STABILITY 121 ( )
- Page 186 and 187:
4.6. BUOYANCY AND STABILITY 123 The
- Page 188 and 189:
4.6. BUOYANCY AND STABILITY 125 on
- Page 190 and 191:
4.6. BUOYANCY AND STABILITY 127 A w
- Page 192 and 193:
4.6. BUOYANCY AND STABILITY 129 It
- Page 194 and 195:
4.6. BUOYANCY AND STABILITY 131 Thu
- Page 196 and 197:
4.6. BUOYANCY AND STABILITY 133 The
- Page 198 and 199:
4.6. BUOYANCY AND STABILITY 135 A n
- Page 200 and 201:
4.6. BUOYANCY AND STABILITY 137 of
- Page 202 and 203:
4.7. RAYLEIGH-TAYLOR INSTABILITY 13
- Page 204 and 205:
4.7. RAYLEIGH-TAYLOR INSTABILITY 14
- Page 206 and 207:
4.8. QUALITATIVE QUESTIONS 143 can
- Page 208:
Part I Integral Analysis 145
- Page 211 and 212:
148 CHAPTER 5. MASS CONSERVATION di
- Page 213 and 214:
150 CHAPTER 5. MASS CONSERVATION It
- Page 215 and 216:
152 CHAPTER 5. MASS CONSERVATION 5.
- Page 217 and 218:
154 CHAPTER 5. MASS CONSERVATION Th
- Page 219 and 220:
156 CHAPTER 5. MASS CONSERVATION Wh
- Page 221 and 222:
158 CHAPTER 5. MASS CONSERVATION Th
- Page 223 and 224:
160 CHAPTER 5. MASS CONSERVATION Wh
- Page 225 and 226:
162 CHAPTER 5. MASS CONSERVATION ri
- Page 227 and 228:
164 CHAPTER 5. MASS CONSERVATION Wh
- Page 229 and 230:
166 CHAPTER 5. MASS CONSERVATION En
- Page 231 and 232:
168 CHAPTER 5. MASS CONSERVATION Ex
- Page 233 and 234:
170 CHAPTER 5. MASS CONSERVATION So
- Page 235 and 236: 172 CHAPTER 5. MASS CONSERVATION In
- Page 237 and 238: 174 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 239 and 240: 176 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 241 and 242: 178 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 243 and 244: 180 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 245 and 246: 182 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 247 and 248: 184 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 249 and 250: 186 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 251 and 252: 188 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 253 and 254: 190 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 255 and 256: 192 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 257 and 258: 194 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 259 and 260: 196 CHAPTER 6. MOMENTUM CONSERVATIO
- Page 261 and 262: 198 CHAPTER 7. ENERGY CONSERVATION
- Page 263 and 264: 200 CHAPTER 7. ENERGY CONSERVATION
- Page 265 and 266: 202 CHAPTER 7. ENERGY CONSERVATION
- Page 267 and 268: 204 CHAPTER 7. ENERGY CONSERVATION
- Page 269 and 270: 206 CHAPTER 7. ENERGY CONSERVATION
- Page 271 and 272: 208 CHAPTER 7. ENERGY CONSERVATION
- Page 273 and 274: 210 CHAPTER 7. ENERGY CONSERVATION
- Page 275 and 276: 212 CHAPTER 7. ENERGY CONSERVATION
- Page 277 and 278: 214 CHAPTER 7. ENERGY CONSERVATION
- Page 279 and 280: 216 CHAPTER 7. ENERGY CONSERVATION
- Page 281 and 282: 218 CHAPTER 7. ENERGY CONSERVATION
- Page 283 and 284: 220 CHAPTER 7. ENERGY CONSERVATION
- Page 285: 222 CHAPTER 7. ENERGY CONSERVATION
- Page 290 and 291: CHAPTER 8 Differential Analysis 8.1
- Page 292 and 293: 8.2. MASS CONSERVATION 229 The firs
- Page 294 and 295: 8.2. MASS CONSERVATION 231 Combinin
- Page 296 and 297: 8.2. MASS CONSERVATION 233 Equation
- Page 298 and 299: 8.2. MASS CONSERVATION 235 The dens
- Page 300 and 301: 8.2. MASS CONSERVATION 237 Example
- Page 302 and 303: 8.3. CONSERVATION OF GENERAL QUANTI
- Page 304 and 305: 8.4. MOMENTUM CONSERVATION 241 8.4
- Page 306 and 307: 8.4. MOMENTUM CONSERVATION 243 The
- Page 308 and 309: 8.5. DERIVATIONS OF THE MOMENTUM EQ
- Page 310 and 311: 8.5. DERIVATIONS OF THE MOMENTUM EQ
- Page 312 and 313: 8.5. DERIVATIONS OF THE MOMENTUM EQ
- Page 314 and 315: 8.5. DERIVATIONS OF THE MOMENTUM EQ
- Page 316 and 317: 8.5. DERIVATIONS OF THE MOMENTUM EQ
- Page 318 and 319: 8.6. BOUNDARY CONDITIONS AND DRIVIN
- Page 320 and 321: 8.6. BOUNDARY CONDITIONS AND DRIVIN
- Page 322 and 323: 8.7. EXAMPLES FOR DIFFERENTIAL EQUA
- Page 324 and 325: 8.7. EXAMPLES FOR DIFFERENTIAL EQUA
- Page 326 and 327: 8.7. EXAMPLES FOR DIFFERENTIAL EQUA
- Page 328 and 329: 8.7. EXAMPLES FOR DIFFERENTIAL EQUA
- Page 330 and 331: 8.7. EXAMPLES FOR DIFFERENTIAL EQUA
- Page 332 and 333: 8.7. EXAMPLES FOR DIFFERENTIAL EQUA
- Page 334 and 335: 8.7. EXAMPLES FOR DIFFERENTIAL EQUA
- Page 336 and 337:
CHAPTER 9 Dimensional Analysis This
- Page 338 and 339:
9.1. INTRODUCTORY REMARKS 275 the r
- Page 340 and 341:
9.1. INTRODUCTORY REMARKS 277 End S
- Page 342 and 343:
9.1. INTRODUCTORY REMARKS 279 Deriv
- Page 344 and 345:
9.2. BUCKINGHAM-π-THEOREM 281 para
- Page 346 and 347:
9.2. BUCKINGHAM-π-THEOREM 283 magn
- Page 348 and 349:
9.2. BUCKINGHAM-π-THEOREM 285 Tabl
- Page 350 and 351:
9.2. BUCKINGHAM-π-THEOREM 287 End
- Page 352 and 353:
9.2. BUCKINGHAM-π-THEOREM 289 Equa
- Page 354 and 355:
9.2. BUCKINGHAM-π-THEOREM 291 the
- Page 356 and 357:
9.2. BUCKINGHAM-π-THEOREM 293 than
- Page 358 and 359:
9.2. BUCKINGHAM-π-THEOREM 295 Unde
- Page 360 and 361:
9.2. BUCKINGHAM-π-THEOREM 297 Solu
- Page 362 and 363:
9.3. NUSSELT’S TECHNIQUE 299 The
- Page 364 and 365:
9.3. NUSSELT’S TECHNIQUE 301 boun
- Page 366 and 367:
9.3. NUSSELT’S TECHNIQUE 303 Noti
- Page 368 and 369:
9.3. NUSSELT’S TECHNIQUE 305 In t
- Page 370 and 371:
9.3. NUSSELT’S TECHNIQUE 307 Wher
- Page 372 and 373:
9.4. SUMMARY OF DIMENSIONLESS NUMBE
- Page 374 and 375:
9.4. SUMMARY OF DIMENSIONLESS NUMBE
- Page 376 and 377:
9.4. SUMMARY OF DIMENSIONLESS NUMBE
- Page 378 and 379:
9.4. SUMMARY OF DIMENSIONLESS NUMBE
- Page 380 and 381:
9.4. SUMMARY OF DIMENSIONLESS NUMBE
- Page 382 and 383:
9.5. SUMMARY 319 It can be noticed
- Page 384 and 385:
9.6. APPENDIX SUMMARY OF DIMENSIONL
- Page 386 and 387:
BIBLIOGRAPHY [1] Buckingham, E. On
- Page 388 and 389:
CHAPTER 10 Inviscid Flow or Potenti
- Page 390 and 391:
10.1. INTRODUCTION 327 where in thi
- Page 392 and 393:
10.1. INTRODUCTION 329 With the ide
- Page 394 and 395:
10.1. INTRODUCTION 331 The partial
- Page 396 and 397:
10.2. POTENTIAL FLOW FUNCTION 333 T
- Page 398 and 399:
10.2. POTENTIAL FLOW FUNCTION 335 t
- Page 400 and 401:
10.2. POTENTIAL FLOW FUNCTION 337 T
- Page 402 and 403:
10.2. POTENTIAL FLOW FUNCTION 339 T
- Page 404 and 405:
10.2. POTENTIAL FLOW FUNCTION 341 9
- Page 406 and 407:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 408 and 409:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 410 and 411:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 412 and 413:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 414 and 415:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 416 and 417:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 418 and 419:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 420 and 421:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 422 and 423:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 424 and 425:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 426 and 427:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 428 and 429:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 430 and 431:
10.3. POTENTIAL FLOW FUNCTIONS INVE
- Page 432 and 433:
10.4. CONFORMING MAPPING 369 flow d
- Page 434 and 435:
10.4. CONFORMING MAPPING 371 The un
- Page 436 and 437:
10.5. UNSTEADY STATE BERNOULLI IN A
- Page 438 and 439:
10.6. QUESTIONS 375 Table -10.2. Di
- Page 440 and 441:
CHAPTER 11 Compressible Flow One Di
- Page 442 and 443:
11.3. SPEED OF SOUND 379 to be cont
- Page 444 and 445:
11.3. SPEED OF SOUND 381 Solution T
- Page 446 and 447:
11.3. SPEED OF SOUND 383 consider a
- Page 448 and 449:
11.4. ISENTROPIC FLOW 385 Now, subs
- Page 450 and 451:
11.4. ISENTROPIC FLOW 387 Static Pr
- Page 452 and 453:
11.4. ISENTROPIC FLOW 389 that the
- Page 454 and 455:
11.4. ISENTROPIC FLOW 391 Using the
- Page 456 and 457:
11.4. ISENTROPIC FLOW 393 Solution
- Page 458 and 459:
11.4. ISENTROPIC FLOW 395 Expressin
- Page 460 and 461:
11.4. ISENTROPIC FLOW 397 The tempe
- Page 462 and 463:
11.4. ISENTROPIC FLOW 399 Table -11
- Page 464 and 465:
11.4. ISENTROPIC FLOW 401 Table -11
- Page 466 and 467:
11.4. ISENTROPIC FLOW 403 Table -11
- Page 468 and 469:
11.4. ISENTROPIC FLOW 405 Example 1
- Page 470 and 471:
11.5. NORMAL SHOCK 407 In a shock w
- Page 472 and 473:
11.5. NORMAL SHOCK 409 Energy equat
- Page 474 and 475:
11.5. NORMAL SHOCK 411 The density
- Page 476 and 477:
11.5. NORMAL SHOCK 413 or in a dime
- Page 478 and 479:
11.5. NORMAL SHOCK 415 which differ
- Page 480 and 481:
11.5. NORMAL SHOCK 417 is different
- Page 482 and 483:
11.5. NORMAL SHOCK 419 Table -11.3.
- Page 484 and 485:
11.6. ISOTHERMAL FLOW 421 Table -11
- Page 486 and 487:
11.6. ISOTHERMAL FLOW 423 Rearrangi
- Page 488 and 489:
11.6. ISOTHERMAL FLOW 425 dT 0 T 0
- Page 490 and 491:
11.6. ISOTHERMAL FLOW 427 10 2 0 1
- Page 492 and 493:
11.6. ISOTHERMAL FLOW 429 The fact
- Page 494 and 495:
11.6. ISOTHERMAL FLOW 431 Calculati
- Page 496 and 497:
11.6. ISOTHERMAL FLOW 433 maximum M
- Page 498 and 499:
11.6. ISOTHERMAL FLOW 435 From the
- Page 500 and 501:
11.7. FANNO FLOW 437 The energy con
- Page 502 and 503:
11.7. FANNO FLOW 439 Differentiatin
- Page 504 and 505:
11.7. FANNO FLOW 441 11.7.3 The Mec
- Page 506 and 507:
11.7. FANNO FLOW 443 pressure on th
- Page 508 and 509:
11.7. FANNO FLOW 445 10 2 0 1 2 3 4
- Page 510 and 511:
11.7. FANNO FLOW 447 End Solution A
- Page 512 and 513:
11.7. FANNO FLOW 449 M x M y T y T
- Page 514 and 515:
11.7. FANNO FLOW 451 11.7.5.1 Maxim
- Page 516 and 517:
11.7. FANNO FLOW 453 At the startin
- Page 518 and 519:
11.7. FANNO FLOW 455 Fanno Flow 5 4
- Page 520 and 521:
11.7. FANNO FLOW 457 11.7.7.1 Choki
- Page 522 and 523:
11.7. FANNO FLOW 459 back pressure
- Page 524 and 525:
11.7. FANNO FLOW 461 The solution i
- Page 526 and 527:
11.7. FANNO FLOW 463 11.7.8 The Pra
- Page 528 and 529:
11.7. FANNO FLOW 465 0.9 0.8 0.7 0.
- Page 530 and 531:
11.7. FANNO FLOW 467 3.0 2.5 2.0 Co
- Page 532 and 533:
11.8. THE TABLE FOR FANNO FLOW 469
- Page 534 and 535:
11.9. RAYLEIGH FLOW 471 Table -11.6
- Page 536 and 537:
11.10. INTRODUCTION 473 or in simpl
- Page 538 and 539:
11.10. INTRODUCTION 475 or explicit
- Page 540 and 541:
11.10. INTRODUCTION 477 Table -11.7
- Page 542 and 543:
11.10. INTRODUCTION 479 Example 11.
- Page 544 and 545:
11.10. INTRODUCTION 481 Example 11.
- Page 546 and 547:
11.10. INTRODUCTION 483 what the ma
- Page 548 and 549:
CHAPTER 12 Compressible Flow 2-Dime
- Page 550 and 551:
12.2. OBLIQUE SHOCK 487 12.2 Obliqu
- Page 552 and 553:
12.2. OBLIQUE SHOCK 489 The relatio
- Page 554 and 555:
12.2. OBLIQUE SHOCK 491 Where S = 3
- Page 556 and 557:
12.2. OBLIQUE SHOCK 493 by evaluati
- Page 558 and 559:
12.2. OBLIQUE SHOCK 495 Figure (12.
- Page 560 and 561:
12.2. OBLIQUE SHOCK 497 be made. Th
- Page 562 and 563:
12.2. OBLIQUE SHOCK 499 demonstrate
- Page 564 and 565:
12.2. OBLIQUE SHOCK 501 or explicit
- Page 566 and 567:
12.2. OBLIQUE SHOCK 503 Fig. -12.9.
- Page 568 and 569:
12.2. OBLIQUE SHOCK 505 Table -12.1
- Page 570 and 571:
12.2. OBLIQUE SHOCK 507 Example 12.
- Page 572 and 573:
12.2. OBLIQUE SHOCK 509 In the obli
- Page 574 and 575:
12.2. OBLIQUE SHOCK 511 M x M ys M
- Page 576 and 577:
12.2. OBLIQUE SHOCK 513 M x M y T y
- Page 578 and 579:
12.2. OBLIQUE SHOCK 515 M x M yw θ
- Page 580 and 581:
12.2. OBLIQUE SHOCK 517 The pressur
- Page 582 and 583:
12.2. OBLIQUE SHOCK 519 From these
- Page 584 and 585:
12.3. PRANDTL-MEYER FUNCTION 521 as
- Page 586 and 587:
12.3. PRANDTL-MEYER FUNCTION 523 Th
- Page 588 and 589:
12.3. PRANDTL-MEYER FUNCTION 525 No
- Page 590 and 591:
1 2 12.7. FLAT BODY WITH AN ANGLE O
- Page 592 and 593:
12.8. EXAMPLES FOR PRANDTL-MEYER FU
- Page 594 and 595:
12.9. COMBINATION OF THE OBLIQUE SH
- Page 596 and 597:
12.9. COMBINATION OF THE OBLIQUE SH
- Page 598 and 599:
CHAPTER 13 Multi-Phase Flow 13.1 In
- Page 600 and 601:
13.4. KIND OF MULTI-PHASE FLOW 537
- Page 602 and 603:
13.5. CLASSIFICATION OF LIQUID-LIQU
- Page 604 and 605:
13.5. CLASSIFICATION OF LIQUID-LIQU
- Page 606 and 607:
13.6. MULTI-PHASE FLOW VARIABLES DE
- Page 608 and 609:
13.6. MULTI-PHASE FLOW VARIABLES DE
- Page 610 and 611:
13.7. HOMOGENEOUS MODELS 547 13.7 H
- Page 612 and 613:
13.7. HOMOGENEOUS MODELS 549 There
- Page 614 and 615:
13.8. SOLID-LIQUID FLOW 551 where
- Page 616 and 617:
13.8. SOLID-LIQUID FLOW 553 So far
- Page 618 and 619:
13.9. COUNTER-CURRENT FLOW 555 The
- Page 620 and 621:
13.9. COUNTER-CURRENT FLOW 557 The
- Page 622 and 623:
13.9. COUNTER-CURRENT FLOW 559 The
- Page 624 and 625:
13.9. COUNTER-CURRENT FLOW 561 For
- Page 626 and 627:
13.9. COUNTER-CURRENT FLOW 563 The
- Page 628 and 629:
13.10. MULTI-PHASE CONCLUSION 565 1
- Page 630 and 631:
APPENDIX A The Mathematics Backgrou
- Page 632 and 633:
A.1. VECTORS 569 where θ is the an
- Page 634 and 635:
A.1. VECTORS 571 Divergence The sam
- Page 636 and 637:
A.1. VECTORS 573 R · S =(xî + y 2
- Page 638 and 639:
A.1. VECTORS 575 The curl is writte
- Page 640 and 641:
A.1. VECTORS 577 The divergence of
- Page 642 and 643:
A.2. ORDINARY DIFFERENTIAL EQUATION
- Page 644 and 645:
A.2. ORDINARY DIFFERENTIAL EQUATION
- Page 646 and 647:
A.2. ORDINARY DIFFERENTIAL EQUATION
- Page 648 and 649:
A.2. ORDINARY DIFFERENTIAL EQUATION
- Page 650 and 651:
A.2. ORDINARY DIFFERENTIAL EQUATION
- Page 652 and 653:
A.2. ORDINARY DIFFERENTIAL EQUATION
- Page 654 and 655:
A.2. ORDINARY DIFFERENTIAL EQUATION
- Page 656 and 657:
A.3. PARTIAL DIFFERENTIAL EQUATIONS
- Page 658 and 659:
A.4. TRIGONOMETRY 595 A.4 Trigonome
- Page 660 and 661:
SUBJECTS INDEX 597 Subjects Index S
- Page 662 and 663:
SUBJECTS INDEX 599 Ideal gas, 91 Re
- Page 664 and 665:
SUBJECTS INDEX 601 Slip condition r
- Page 666 and 667:
AUTHORS INDEX 603 Authors Index B B