Wave and Stability in Fluids

By: S. P. Ho, Din-Yu Hsieh (As told to)

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Hardcover | 1 December 1993

At a Glance

Hardcover
428 Pages

Dimensions(cm)
22.86 x 16.51 x 3.18

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This textbook covers the topics of sound waves, water waves and stability problems in fluids. It also touches upon the subject of chaos in relation to stability problems. The emphasis is on the understanding of essential features of the subject matter thus complicated details are omitted.

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Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Fluids Science Physics Classical Mathematics Fluid Mechanics Wave Mechanics including Vibration & Acoustics Booktopia Publisher Services World Scientific Publishing

Preface
Preliminaries on Waves	p. 1
Governing Equations of the Fluid Motion	p. 2
The Wave Equation	p. 8
Simple Solutions: Sinusoidal Waves	p. 10
Fundamental Solutions of Wave Equation	p. 14
Sound Waves	p. 21
Waves in Compressible Fluids	p. 21
Multi-pole Radiation	p. 23
Generation of Sound	p. 27
Scattering of Sound	p. 34
Nonlinear Acoustics	p. 45
Simple Wave and Shock Wave	p. 56
Structure of Shock - Burgers Equation	p. 69
One-Dimensional Nonlinear Wave - Riemann Invariants	p. 81
Sound Waves With Thermal Dissipation	p. 88
Water Waves	p. 95
Governing Equations of Water Waves	p. 95
Small Amplitude Waves	p. 99
Dispersion of Waves - Group Velocity	p. 106
Wave Produced by a Moving Source	p. 115
Weakly Nonlinear Waves and Korteweg-DeVries Equation	p. 129
Solitary and Cnoidal Waves	p. 134
Solitons - Inverse Scattering	p. 144
Nonlinear Modulation of Gravity Waves	p. 153
Hydrautic Jumps	p. 165
Waves in Nonhomogeneous Media	p. 170
Internal Waves of Layered Fluid Media	p. 170
Waves in Continuously Stratified Fluids	p. 179
Waves in Compressible Stratified Fluids	p. 188
Dynamic Equations of Bubbly Liquids	p. 199
Waves in Bubbly Liquids	p. 202
Stability	p. 216
Interfacial Conditions	p. 217
The Classical Rayleigh-Taylor Stability	p. 223
Rayleigh-Taylor Stability with Mass and Heat Transfer Across the Interface	p. 229
Stability of Spherical Bubble in Motion	p. 244
The Classical Kelvin-Helmholtz Stability	p. 254
Variational Method and Kelvin-Helmholtz Stability	p. 262
Kelvin-Helmholtz Stability for Compressible Fluids	p. 272
The Faraday Problem	p. 285
The Rayleigh-Benard Problem	p. 296
The Taylor-Couette Problem	p. 313
Stability of Parallel Flows	p. 327
Stability of Flow Down an Inclined Plane	p. 344
Chaos	p. 360
The Lorenz Equations	p. 361
The Logistic Map	p. 375
Characterization of Chaos	p. 384
Almost Ill-posed Problems and Chaos	p. 391
Appendix 1 Some Properties of Spherical Bessel Functions	p. 402
Appendix 2 On Surface Tension	p. 404
Books for Concurrent and Further Reading	p. 407
References	p. 409
Index	p. 411
Table of Contents provided by Blackwell. All Rights Reserved.

Wave and Stability in Fluids

At a Glance

Hardcover

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