Theoretical fluid dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1998
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | A Wiley Interscience publication
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 555 S. graph. Darst. |
| ISBN: | 0471056596 |
Internformat
MARC
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| 245 | 1 | 0 | |a Theoretical fluid dynamics |c Bhimsen K. Shivamoggi |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1998 | |
| 300 | |a XIX, 555 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a A Wiley Interscience publication | |
| 650 | 4 | |a Fluides, Dynamique des | |
| 650 | 7 | |a Hydrodynamica |2 gtt | |
| 650 | 7 | |a Transportverschijnselen |2 gtt | |
| 650 | 4 | |a Fluid dynamics | |
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Datensatz im Suchindex
| _version_ | 1804126574261305344 |
|---|---|
| adam_text | CONTENTS
Preface xvii
Acknowledgments xix
Chapter 1. Review of Basic Concepts and Equations
of Fluid Dynamics 1
1.1 Introduction to Fluid Dynamics 1
Fluid Model of Systems 1
The Objective of Fluid Dynamics 1
The Fluid State 2
Description of the Flow Field 3
Volume Forces and Surface Forces 4
Relative Motion Near a Point 7
Stress Strain Relations 10
Equations of Fluid Flows 11
The Transport Theorem 12
The Material Derivative 13
The Law of Conservation of Mass 13
Equation of Motion 13
The Energy Equation 14
The Equation of Vorticity 16
The Incompressible Fluid 16
Hamiltonian Formulation of Fluid Flow Problems 18
Hamiltonian Dynamics of Continuous Systems 18
Three Dimensional Incompressible Hows 21
1.2 Surface Tension 22
Capillary Rises in Liquids 24
vii
viii Contents
1.3 A Program for Analysis of the Governing Equations 25
Chapter 2. Dynamics of Inviscid Incompressible Fluid Flows 27
2.1 Fluid Kinematics and Dynamics 27
Stream Function 27
Equations of Motion 29
Integrals of Motion 29
Capillary Waves on a Spherical Drop 30
Cavitation 32
Rates of Change of Material Integrals 33
Irrotational Flow 35
Simple Flow Patterns 36
The Source Flow 36
The Doublet Flow 38
The Vortex Flow 39
Doublet in a Uniform Stream 39
Uniform Flow Past a Circular Cylinder with Circulation 40
2.2 The Complex Variable Method 42
The Complex Potential 42
Conformal Mapping of Hows 45
Hydrodynamic Images 51
Principles of Free Streamline Flow 53
Schwartz Christoffel Transformation 53
Hodograph Method 59
2.3 Three Dimensional Irrotational Flows 64
Special Singular Solutions 64
The Source Flow 65
The Doublet Flow 66
d Alembert s Paradox 68
Image of a Source in a Sphere 69
Flow Past an Arbitrary Body 71
Unsteady Flows 73
Added Mass of Bodies Moving Through a Fluid 74
Contents ix
2.4 Vortex Flows 76
Vortex Tubes 76
Induced Velocity Field 77
Biot Savart sLaw 78
Vortex Ring 83
Hill s Spherical Vortex 87
Vortex Sheet 89
The Vortex Breakdown: Brooke Benjamin s Theory 91
2.5 Rotating Flows 97
Governing Equations and Elementary Results 97
Taylor Proudman Theorem 98
Propagation of Waves in a Rotating Fluid 99
Plane Inertial Waves 101
Forced Wavemotion in a Rotating Fluid 103
The Elliptic Case 104
The Hyperbolic Case 105
Slow Motion Along the Axis of Rotation 106
Rossby Waves 110
2.6 Water Waves 114
Governing Equations 114
Surface Waves in a Semi infinite Liquid 116
Surface Waves in a Liquid Layer of Finite Depth 116
Shallow Water Waves 118
Water Waves Generated by an Initial Displacement
Over a Localized Region 120
Water Waves Generated by a Finite Train of Harmonic Waves 123
Waves on a Steady Stream 125
One Dimensional Gravity Waves 126
One Dimensional Capillary Gravity Waves 127
Ship Waves 127
Gravity Waves in a Rotating Fluid 130
Theory of Tides 133
Nonlinear Shallow Water Waves 135
Solitary Waves 137
x Contents
Periodic Cnoidal Waves 140
Interacting Solitary Waves 145
Stokes Waves 148
Modulational Instability and Envelope Solitons 150
Nonlinear Resonant Three Wave Interactions
of Capillary Gravity Waves 158
Second Harmonic Resonance 163
Hydraulic Jump 166
2.7 Applications to Aerodynamics 168
Airfoil Theory: Method of Complex Variables 169
Force and Moments on an Arbitrary Body 169
Flow Past an Arbitrary Cylinder 171
Flow Around a Flat Plate 174
Flow Past an Airfoil 175
The Joukowski Transformation 178
Thin Airfoil Theory 182
Thickness Problem 184
Camber Problem 186
Flat Plate at an Angle of Attack 190
Combined Aerodynamic Characteristics 191
The Leading Edge Problem of a Thin Airfoil 192
Slender Body Theory 195
Lifting Line Theory for Wings 196
Oscillating Thin Airfoil Theory: Theodorsen s Theory 201
Chapter 3. Dynamics of Inviscid Compressible Fluid Flows 213
3.1 Review of Thermodynamics 213
Thermodynamic System and Variables of State 213
The First Law of Thermodynamics; Reversible
and Irreversible Processes 214
The Second Law of Thermodynamics 216
Liquid and Gaseous Phases 218
Application of Thermodynamics to Fluid Flows 219
Contents xi
3.2 Isentropic Flows 220
The Energy Equation 220
Stream Tube Area and Velocity Relations 221
3.3 Shockwaves 224
The Normal Shock Wave 224
The Oblique Shock Wave 232
Blast Waves: Sedov s Solution 234
3.4 Flows with Heat Transfer 239
Rayleigh Flow 239
Detonation and Deflagration Waves 240
3.5 Potential Flows 243
Governing Equations 243
Streamline Coordinates 244
Conical Flows 246
Small Perturbation Theory 248
Characteristics 249
A Singular Perturbation Problem for Hyperbolic Systems 254
3.6 The Hodograph Method 263
The Hodograph Transformation 263
The Lost Solution 267
The Limit Line 268
3.7 Nonlinear Theory of Plane Sound Waves 273
Riemann Invariants 274
Nonlinear Propagation of a Sound Wave 280
Nonlinear Resonant Three Wave Interactions of Sound Waves 282
Burgers Equation 287
3.8 Applications to Aerodynamics 292
Thin Airfoil Theory 292
Thin Airfoil in a Linearized Supersonic Flow 292
Far Field Behavior of Supersonic Flow Past a Thin Airfoil 294
Thin Airfoil in Transonic Flows 297
xii Contents
Slender Bodies of Revolution 299
Oscillating Thin Airfoil in Subsonic Flows: Possio s Theory 306
Oscillating Thin Airfoils in Supersonic Flows:
Stewartson s Theory 312
Chapter 4. Dynamics of Viscous Fluid Flows 315
4.1 Exact Solutions to Equations of Viscous Fluid Flow 315
Channel Flows 315
Decay of a Line Vortex 317
Line Vortex in a Uniform Stream 319
Diffusion of a Localized Vorticity Distribution 320
How Due to a Suddenly Accelerated Plane 324
The Round Laminar Jet: Landau s Solution 325
Ekman Layer at a Free Surface in a Rotating Fluid 328
Centrifugal Flow Due to a Rotating Disk 330
Shock Structure: Becker s Solution 332
Couette Flow of a Gas 334
4.2 Flows at Low Reynolds Numbers 335
Dimensional Analysis 336
Stokes Flow Past a Rigid Sphere 336
Stokes Flow Past a Spherical Drop 340
Stokes Flow Past a Rigid Circular Cylinder 342
Oseen s Flow Past a Rigid Sphere 343
Oseen s Approximation for Periodically Oscillating Wakes 346
4.3 Flows at High Reynolds Numbers 350
Prandtl s Boundary—Layer Concept 350
The Method of Matched Asymptotic Expansions 351
Location and Nature of Boundary Layers 355
Incompressible Flow Past a Flat Plate 358
The Outer Expansion 359
The Inner Expansion 360
Flow Due to Displacement Thickness 364
Separation of Flow in a Boundary Layer: Landau s Theory 365
Contents xiii
Boundary Layers in Compressible Flows 368
Crocco s Integral 370
Flow Past a Flat Plate: Howarth Dorodnitsyn
Transformation 371
Flow in a Mixing Layer Between Two Parallel Streams 372
Geometrical Characteristics of the Mixing Flow 374
Narrow Jets 376
Wakes 377
Periodic Boundary Layer Flows 378
4.4 Jeffrey Hamel Flow 381
The Exact Solution 382
Flows at Low Reynolds Numbers 386
Flows at High Reynolds Numbers 390
Chapter 5. Hydrodynamic Stability 393
5.1 Introduction to Hydrodynamic Stability 393
5.2 Thermal Instability of a Layer of Fluid Heated from Below 394
The Characteristic Value Problem 394
The Variational Problem 399
Nonlinear Effects 403
Instability of the Roll Pattern 406
5.3 Stability of Couette Flow 406
Inviscid Couette Flow: Rayleigh Criterion 406
Heuristic Derivation 406
Rigorous Derivation 408
Couette Flow with Axial Velocity: Howard Gupta Theory 410
Viscous Couette Flow: Synge s Theory 412
Nonlinear Effects 419
Instability of the Toroidal Vortices 419
5.4 Rayleigh Taylor Instability of Superposed Fluids 420
The Linear Problem 420
xiv Contents
The Nonlinear Problem 423
5.5 Kelvin Helmholtz Instability 426
The Stratified Fluid in Nonuniform Streaming 427
The Case of Two Uniform Fluids in Relative Motion Parallel
to the Plane Interface 428
A Shear Layer in a Stratified Fluid 429
Stability of an Interface Between a Liquid and a Gas Stream 432
Subsonic Gas Flow 434
Supersonic Gas Flow 434
5.6 Capillary Instability of a Liquid Jet 435
5.7 Stability of Parallel Flows 439
The Orr Sommerfeld Equation 440
The Inviscid Solutions 442
The Initial Value Problem: Case Dikii Theory 445
Inviscid Stability Theory 451
Discontinuities in the Mean Flow 451
Odd and Even Solutions 453
Self—Excited and Damped Disturbances 454
Local and Global Necessary Conditions for the Existence
of Non neutral and Neutral Modes 455
Howard s Semicircle Theorem 458
Sufficient Conditions for the Existence of Self Excited
and Neutral Modes 460
Viscous Theory 465
Heisenberg Criterion 468
General Characteristics of the Neutral Stability Curve 470
Computation of the Neutral Stability Curve 473
Nonlinear Theory 475
Arnol d Stability Approach 476
Hamiltonian Formulation of Two Dimensional
Incompressible Flows 479
Arnol d Stability of Two—Dimensional
Incompressible Flows 482
Contents xv
Chapter 6. Dynamics of Turbulence 487
6.1 The Origin and Nature of Turbulence 487
6.2 Three Dimensional Turbulence 489
A Statistical Formalism 489
The Probability Density 490
The Autocorrelation 493
The Central Limit Theorem 496
Symmetry Conditions 499
Spectral Theory 500
Heisenberg s Theory 503
Kolmogorov s Universal Equilibrium Theory 506
Equilibrium Statistical Mechanics: Lee s Theory 507
Homogeneous, Isotropic Turbulence: Taylor s Correlation Theory 510
The von Karman Howarth Equation 518
6.3 Two Dimensional Turbulence 520
Conserved Quantities for a Two Dimensional Flow 521
Fourier Analysis of the Turbulent Velocity Field 522
Energy and Enstrophy Cascades 523
Self Organization and Self Degradation in Two Dimensional Flows 525
Batchelor Kraichnan Theory of the Inertial Ranges 527
Equilibrium Statistical Mechanics: Kraichnan s Theory 528
6.4 Turbulent Dispersion: Lin s Theory 531
Bibliography 535
Subject Index 547
|
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| discipline | Physik |
| edition | 2. ed. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:19:37Z |
| institution | BVB |
| isbn | 0471056596 |
| language | English |
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| physical | XIX, 555 S. graph. Darst. |
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| spelling | Shivamoggi, Bhimsen K. Verfasser aut Theoretical fluid dynamics Bhimsen K. Shivamoggi 2. ed. New York [u.a.] Wiley 1998 XIX, 555 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Wiley Interscience publication Fluides, Dynamique des Hydrodynamica gtt Transportverschijnselen gtt Fluid dynamics Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008106387&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shivamoggi, Bhimsen K. Theoretical fluid dynamics Fluides, Dynamique des Hydrodynamica gtt Transportverschijnselen gtt Fluid dynamics Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4077970-1 |
| title | Theoretical fluid dynamics |
| title_auth | Theoretical fluid dynamics |
| title_exact_search | Theoretical fluid dynamics |
| title_full | Theoretical fluid dynamics Bhimsen K. Shivamoggi |
| title_fullStr | Theoretical fluid dynamics Bhimsen K. Shivamoggi |
| title_full_unstemmed | Theoretical fluid dynamics Bhimsen K. Shivamoggi |
| title_short | Theoretical fluid dynamics |
| title_sort | theoretical fluid dynamics |
| topic | Fluides, Dynamique des Hydrodynamica gtt Transportverschijnselen gtt Fluid dynamics Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Fluides, Dynamique des Hydrodynamica Transportverschijnselen Fluid dynamics Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008106387&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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