Fundamental mechanics of fluids:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, FL u.a.
CRC Press, Taylor & Francis
2013
|
| Ausgabe: | 4. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 3. Aufl. im Verl. Dekker erschienen |
| Beschreibung: | XXII, 581 S. Ill., graph. Darst. |
| ISBN: | 9781439874608 |
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| 245 | 1 | 0 | |a Fundamental mechanics of fluids |c I.G. Currie |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Boca Raton, FL u.a. |b CRC Press, Taylor & Francis |c 2013 | |
| 300 | |a XXII, 581 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804151532149538816 |
|---|---|
| adam_text | ’ Contents
| List of Figures
Jr Preface
i-
xiii
xxi
Part I Governing Equations
1 Basic Conservation Laws 3
1 1 Statistical and Continuum Methods 3
1 2 Eulerian and Lagrangian Coordinates 6
1 3 Material Derivative 7
1 4 Control Volumes 8
1 5 Reynolds Transport Theorem 9
1 6 Conservation of Mass 12
1 7 Conservation of Momentum 14
1 8 Conservation of Energy 17
1 9 Discussion of Conservation Equations 21
1 10 Rotation and Rate of Shear 22
1 11 Constitutive Equations 26
1 12 Viscosity Coefficients 30
1 13 Navier-Stokes Equations 32
1 14 Energy Equation 33
1 15 Governing Equations for Newtonian Fluids 35
1 16 Boundary Conditions 37
Problems 38
2 Flow Kinematics 41
2 1 Flow Lines 41
211 Streamlines 41
212 Pathlines 45
213 Streaklines 46
2 2 Circulation and Vorticity 47
2 3 Stream Tubes and Vortex Tubes 49
2 4 Kinematics of Vortex Lines 50
Problems 52
3 Special Forms of the Governing Equations 57
3 1 Kelvin s Theorem 57
3 2 Bernoulli Equation 60
3 3 Crocco s Equation 63
3 4 Vorticity Equation 66
Contents
viii
Problems 69
Further Reading—Part I 70
Part II Ideal-Fluid Flow
II 1 Governing Equations and Boundary Conditions 71
II 2 Potential Flows 72
4 Two-Dimensional Potential Flows 75
4 1 Stream Function 75
4 2 Complex Potential and Complex Velocity 79
4 3 Uniform Flows 82
4 4 Source, Sink, and Vortex Flows 83
4 5 Flow in Sector 87
4 6 Flow around Sharp Edge 89
4 7 Flow due to Doublet 90
4 8 Circular Cylinder without Circulation 93
4 9 Circular Cylinder with Circulation 95
4 10 Blasius Integral Laws 101
4 11 Force and Moment on Circular Cylinder 105
4 12 Conformal Transformations 107
4 13 Joukowski Transformation 112
4 14 Flow around Ellipses 116
4 15 Kutta Condition and Flat-Plate Airfoil 120
4 16 Symmetrical Joukowski Airfoil 123
4 17 Circular-Arc Airfoil 129
4 18 Joukowski Airfoil 134
4 19 Schwarz-Christoffel Transformation 136
4 20 Source in Channel 139
4 21 Flow through Aperture 142
4 22 Flow Past Vertical Flat Plate 148
Problems 155
5 Three-Dimensional Potential Flows 165
5 1 Velocity Potential 166
5 2 Stokes Stream Function 167
5 3 Solution of Potential Equation 169
5 4 Uniform Flow 172
5 5 Source and Sink 174
5 6 Flow due to Doublet 176
5 7 Flow near Blunt Nose 178
5 8 Flow around Sphere 180
5 9 Line-Distributed Source 181
5 10 Sphere in Flow Field of Source 184
5 11 Rankine Solids 186
$ 12 D Alembert s Paradox 188
5 13 Forces Induced by Singularities 192
14 Kinetic Energy of Moving Fluid 196
5 15 Apparent Mass 199
iproblems 200
Surface Waves 205
1 General Surface-Wave Problem 205
6 2 Small-Amplitude Plane Waves 208
6 3 Propagation of Surface Waves 210
4 Effect of Surface Tension 214
6 5 Shallow-Liquid Waves of Arbitrary Form 217
6 Complex Potential for Traveling Waves 221
6 7 Particle Paths for Traveling Waves 224
6 8 Standing Waves 227
6 9 Particle Paths for Standing Waves 229
6 10 Waves in Rectangular Vessels 231
6 11 Waves in Cylindrical Vessels 235
6 12 Propagation of Waves at Interface 239
Problems 245
Further Reading—Part II 251
t III Viscous Flows of Incompressible Fluids
Exact Solutions 257
7 1 Couette Flow 257
7 2 Poiseuille Flow 260
7 3 Flow between Rotating Cylinders 262
-74 Stokes First Problem 265
7 5 Stokes Second Problem 269
7 6 Pulsating Flow between Parallel Surfaces 272
7 7 Stagnation-Point Flow 274
:78 Flow in Convergent and Divergent Channels 279
7 9 Flow over Porous Wall 282
Problems 285
Low Reynolds Number Solutions 293
8 1 Stokes Approximation 293
,82 Uniform Flow 296
*83 Doublet 296
8 4 Rotlet 297
8 5 Stokeslet 303
8 6 Rotating Sphere in Fluid 308
8 7 Uniform Flow Past Sphere 309
X
Contents
8 8 Uniform Flow Past Circular Cylinder 312
8 9 Oseen Approximation 315
Problems 316
9 Boundary Layers 321
9 1 Boundary-Layer Thicknesses 322
9 2 Boundary-Layer Equations 324
9 3 Blasius Solution 328
9 4 Falkner-Skan Solutions 333
9 5 Flow over a Wedge 338
9 6 Stagnation-Point Flow 340
9 7 Flow in Convergent Channel 341
9 8 Approximate Solution for Flat Surface 342
9 9 General Momentum Integral 348
9 10 Kärmän-Pohlhausen Approximation 350
9 11 Boundary-Layer Separation 360
9 12 Stability of Boundary Layers 362
Problems 367
10 Buoyancy-Driven Flows 373
10 1 Boussinesq Approximation 374
10 2 Thermal Convection 375
10 3 Boundary-Layer Approximations 377
10 4 Vertical Isothermal Surface 380
10 5 Line Source of Heat 385
10 6 Point Source of Heat 392
10 7 Stability of Horizontal Layers 395
Problems 401
Further Reading—Part III 403
Part IV Compressible Flow of Inviscid Fluids
IV 1 Governing Equations and Boundary Conditions 406
11 ShockWaves 409
11 1 Propagation of Infinitesimal Disturbances 409
11 2 Propagation of Finite Disturbances 414
11 3 Rankine-Hugoniot Equations 419
11 4 Conditions for Normal Shock Waves 422
11 5 Normal-Shock-Wave Equations 426
11 6 Oblique Shock Waves 429
Problems 434
12 One-Dimensional Flows 439
12 1 Weak Waves 439
Contents xi
12 2 Weak Shock Tubes 443
12 3 Wall Reflection of Waves 446
12 4 Reflection and Refraction at Interface 448
12 5 Piston Problem 452
12 6 Finite-Strength Shock Tubes 454
12 7 Nonadiabatic Flows 459
12 8 Isentropic-Flow Relations 463
12 9 Flow through Nozzles 465
Problems 467
13 Multidimensional Flows 471
13 1 Irrotational Motion 471
13 2 Janzen-Rayleigh Expansion 473
13 3 Small-Perturbation Theory 476
13 4 Pressure Coefficient 479
13 5 Flow over Wave-Shaped Wall 481
13 6 Prandtl-Glauert Rule for Subsonic Flow 487
13 7 Ackeret s Theory for Supersonic Flows 489
13 8 Prandtl-Meyer Flow 494
Problems 498
Further Reading—Part IV 502
Part V Methods of Mathematical Analysis
14 Some Useful Methods of Analysis 505
14 1 Fourier Series 506
14 2 Complex Variables 510
14 2 1 Analytic Functions 510
14 2 2 Integral Representations 511
14 2 3 Series Representations 513
14 2 4 Residues and Residue Theorem 514
14 2 5 Conformal Transformations 516
14 3 Separation of Variable Solutions 517
14 4 Similarity Solutions 522
14 5 Group Invariance Methods 528
Problems 534
Further Reading—Part V 541
Appendix A: Vector Analysis 543
A l Vector Identities 543
A 2 Integral Theorems 543
A 3 Orthogonal Curvilinear Coordinates 544
Appendix B: Tensors 549
B l Notation and Definition 549
Contents
xii
Bll Notation 549
B12 Definition 549
B 2 Tensor Algebra 550
B21 Addition 550
B22 Multiplication 550
B23 Contraction 550
B24 Symmetry 550
B 3 Tensor Operations 551
B31 Gradient 551
B32 Divergence 551
B33 Curl 551
B 4 Isotropie Tensors 552
B41 Definition 552
B42 Isotropie Tensors of Rank 0 552
B43 Isotropie Tensors of Rank 1 552
B44 Isotropie Tensors of Rank 2 552
B45 Isotropie Tensors of Rank 3 552
B46 Isotropie Tensors of Rank 4 552
B 5 Integral Theorems 553
B51 Gauss Theorem (Divergence Theorem) 553
B52 Stokes Theorem 553
Appendix C: Governing Equations 555
C l Cartesian Coordinates 555
C 2 Cylindrical Coordinates 556
C 3 Spherical Coordinates 557
Appendix D: Fourier Series 561
Appendix E: Thermodynamics 565
E 1 Zeroth Law 565
E 2 First Law 565
E 3 Equations of State 565
E31 Thermally Perfect Gas 566
E32 Van der Waals Equation 566
E 4 Enthalpy 566
E 5 Specific Heats 567
E51 Constant Volume 567
E52 Constant Pressure 567
E53 Perfect Gas 567
E 6 Adiabatic, Reversible Processes 568
E 7 Entropy 568
E 8 Second Law 568
E 9 Canonical Equations of State 569
E 10 Reciprocity Relations 569
Index
|
| any_adam_object | 1 |
| author | Currie, Iain G. |
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| ctrlnum | (OCoLC)821608249 (DE-599)BVBBV041417239 |
| dewey-full | 620.1/06 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/06 |
| dewey-search | 620.1/06 |
| dewey-sort | 3620.1 16 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 4. ed. |
| format | Book |
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| spelling | Currie, Iain G. Verfasser aut Fundamental mechanics of fluids I.G. Currie 4. ed. Boca Raton, FL u.a. CRC Press, Taylor & Francis 2013 XXII, 581 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier 3. Aufl. im Verl. Dekker erschienen Akışkanlar mekaniği Vloeistofmechanica gtt Fluid mechanics Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Strömungsmechanik (DE-588)4077970-1 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864399&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Currie, Iain G. Fundamental mechanics of fluids Akışkanlar mekaniği Vloeistofmechanica gtt Fluid mechanics Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4077970-1 (DE-588)4113937-9 |
| title | Fundamental mechanics of fluids |
| title_auth | Fundamental mechanics of fluids |
| title_exact_search | Fundamental mechanics of fluids |
| title_full | Fundamental mechanics of fluids I.G. Currie |
| title_fullStr | Fundamental mechanics of fluids I.G. Currie |
| title_full_unstemmed | Fundamental mechanics of fluids I.G. Currie |
| title_short | Fundamental mechanics of fluids |
| title_sort | fundamental mechanics of fluids |
| topic | Akışkanlar mekaniği Vloeistofmechanica gtt Fluid mechanics Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Akışkanlar mekaniği Vloeistofmechanica Fluid mechanics Strömungsmechanik Hochschulschrift |
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