Wave and stability in fluids:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore u.a.
World Scientific
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 416 S. graph. Darst. |
| ISBN: | 9810218702 |
Staff View
MARC
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| 100 | 1 | |a Hsieh, D. Y. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wave and stability in fluids |c D. Y. Hsieh ; S. P. Ho |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1994 | |
| 300 | |a XI, 416 S. |b graph. Darst. | ||
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| 650 | 4 | |a Fluid dynamics | |
| 650 | 4 | |a Stability | |
| 650 | 4 | |a Waves | |
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Record in the Search Index
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|---|---|
| adam_text | TABLE OF CONTENTS
Preface v
1. Preliminaries on Waves 1
1.1 Governing Equations of the Fluid Motion, 2
Eulerian and Lagrangian Coordinates, 6
1.2 The Wave Equation, 8
1.3 Simple Solutions : Sinusoidal Waves, 10
1.4 Fundamental Solutions of Wave Equation, 14
2. Sound Waves 21
2.1 Waves in Compressible Fluids, 21
2.2 Multi pole Radiation, 23
2.3 Generation of Sound, 27
2.4 Scattering of Sound, 34
Scattering by a Spherical Bubble in a Liquid, 39
Scattering by a Small Body, 42
2.5 Nonlinear Acoustics, 45
Quadrapole Radiation, 45
Scattering of Sound by Sound, 48
Acoustic Streaming, 53
2.6 Simple Wave and Shock Wave, 56
2.7 Structure of Shock Burgers Equation, 69
vii
viii CONTENTS
Derivation of Burgers Equation, 70
Solution of Burgers Equation, 73
An Example to Illustrate the Shock Structure, 76
2.8 One Dimensional Nonlinear Wave Riemann
Invariants, 81
2.9 Sound Waves With Thermal Dissipation, 88
3. Water Waves 95
3.1 Governing Equations of Water Waves, 95
3.2 Small Amplitude Waves, 99
Gravity Wave, 103
Capillary Wave, 104
3.3 Dispersion of Waves Group Velocity, 106
Velocity of Energy Transport, 111
3.4 Wave Produced by a Moving Source, 115
Wave Pattern Due to a Moving Source, 121
3.5 Weakly Nonlinear Waves and Korteweg DeVries
Equation, 129
3.6 Solitary and Cnoidal Waves, 134
3.7 Solitons Inverse Scattering, 144
3.8 Nonlinear Modulation of Gravity Waves, 153
Stokes Waves, 156
Stability of Stokes Waves, 158
Gravity Waves in Lagrangian Coordinates, 159
3.9 Hydrautic Jumps, 165
CONTENTS ix
4. Waves in Nonhomogeneous Media 170
4.1 Internal Waves of Layered Fluid Media, 170
Upper Fluid Surface Free, 176
4.2 Waves in Continuously Stratified Fluids, 179
The Case that p0 =p(°V/k, 183
Rigid Surface on Top, 184
Free Surface on Top, 185
4.3 Waves in Compressible Stratified Fluids, 188
4.4 Dynamic Equations of Bubbly Liquids, 199
A Simple Model of Bubbly Liquids, 201
4.5 Waves in Bubbly Liquids, 202
Sound Waves, 202
Dead Zone and Negative Damping, 209
Waves in Locked Bubbly Liquids, 211
5. Stability 216
5.1 Interfacial Conditions, 217
5.2 The Classical Rayleigh Taylor Stability, 223
5.3 Rayleigh Taylor Stability with Mass and Heat
Transfer Across the Interface, 229
A Simplified Version, 236
Nonlinear Stability Based on Simplified Version, 239
5.4 Stability of Spherical Bubble in Motion, 244
Stability of Expanding and Collapsing Bubbles, 252
x CONTENTS
5.5 The Classical Kelvin Helmholtz Stability, 254
5.6 Variational Method and Kelvin Helmholtz
Stability, 262
Nonlinear Analysis, 268
Fully Nonlinear One Mode Analysis, 271
5.7 Kelvin Helmholtz Stability for Compressible
Fluids, 272
The Case of Semi infinite Fluid Layers, 277
Relationship with Two Phase Flows, 281
5.8 The Faraday Problem, 285
Linear Stability, 288
Nonlinear Theory, 292
Stability of Oscillating Bubbles, 294
5.9 The Rayleigh Benard Problem, 296
Principle of Exchange of Stabilities, 304
Critical Rayleigh Number, 307
The Cell Patterns, 310
Non uniform Heating, 312
5.10 The Taylor Couette Problem, 313
Rayleigh s Criterion, 316
Linear Stability Analysis, 319
Narrow Gap, 323
5.11 Stability of Parallel Flows, 327
Squire Theorem, 330
Orr Sommerfeld Equation, 331
Sufficient Conditions for Stability, 332
CONTENTS xi
Parallel Flow oflnviscid Fluids, 334
Asymptotic Analysis and Comparison
Equations, 337
5.12 Stability of Flow Down an Inclined Plane, 344
Small k Expansion, 349
Hydraulic Approximation, 353
6. Chaos 360
6.1 The Lorenz Equations, 361
6.2 The Logistic Map, 375
6.3 Characterization of Chaos, 384
Lyapunov Exponents, 384
Dimensions, 387
Dynamical Information in Experimental Data, 390
6.4 Almost Ill posed Problems and Chaos, 391
Examples of Underlying Ellipticity, 394
Model Partial Differential Equations with Underlying
Ellipticity, 398
Appendix 1 Some Properties of Spherical Bessel Functions 402
Appendix 2 On Surface Tension 404
Books for Concurrent and Further Reading 407
References 409
Index 411
|
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| dewey-tens | 530 - Physics |
| discipline | Physik |
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| id | DE-604.BV010499701 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:53:32Z |
| institution | BVB |
| isbn | 9810218702 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006996739 |
| oclc_num | 30894036 |
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| physical | XI, 416 S. graph. Darst. |
| publishDate | 1994 |
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| publishDateSort | 1994 |
| publisher | World Scientific |
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| spelling | Hsieh, D. Y. Verfasser aut Wave and stability in fluids D. Y. Hsieh ; S. P. Ho Singapore u.a. World Scientific 1994 XI, 416 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fluid dynamics Stability Waves Stabilität (DE-588)4056693-6 gnd rswk-swf Rayleigh-Taylor-Instabilität (DE-588)4269049-3 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Welle (DE-588)4065310-9 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Welle (DE-588)4065310-9 s Rayleigh-Taylor-Instabilität (DE-588)4269049-3 s Hydrodynamik (DE-588)4026302-2 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Stabilität (DE-588)4056693-6 s Ho, S. P. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006996739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hsieh, D. Y. Ho, S. P. Wave and stability in fluids Fluid dynamics Stability Waves Stabilität (DE-588)4056693-6 gnd Rayleigh-Taylor-Instabilität (DE-588)4269049-3 gnd Hydrodynamik (DE-588)4026302-2 gnd Welle (DE-588)4065310-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4269049-3 (DE-588)4026302-2 (DE-588)4065310-9 (DE-588)4077970-1 |
| title | Wave and stability in fluids |
| title_auth | Wave and stability in fluids |
| title_exact_search | Wave and stability in fluids |
| title_full | Wave and stability in fluids D. Y. Hsieh ; S. P. Ho |
| title_fullStr | Wave and stability in fluids D. Y. Hsieh ; S. P. Ho |
| title_full_unstemmed | Wave and stability in fluids D. Y. Hsieh ; S. P. Ho |
| title_short | Wave and stability in fluids |
| title_sort | wave and stability in fluids |
| topic | Fluid dynamics Stability Waves Stabilität (DE-588)4056693-6 gnd Rayleigh-Taylor-Instabilität (DE-588)4269049-3 gnd Hydrodynamik (DE-588)4026302-2 gnd Welle (DE-588)4065310-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Fluid dynamics Stability Waves Stabilität Rayleigh-Taylor-Instabilität Hydrodynamik Welle Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006996739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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