Waves in fluids /

Waves in fluids /

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A comprehensive textbook in which the author describes the science of waves in liquids and gases

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Bibliographic Details
Main Author: Lighthill, M. J., Sir
Format: Book
Language:English
Published: Cambridge [Eng.] ; New York : Cambridge University Press, 1978
Cambridge [England] ; New York : 1978
Cambridge, UK ; New York : 2001
Cambridge [Eng.] ; New York : 1978
Cambridge, UK ; New York : 2001
Series:Cambridge mathematical library
Subjects:
Fluid dynamics
Wave-motion, Theory of
Waves
Hydrodynamics
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Table of Contents:
  • Machine derived contents note: Preface
  • Prologue
  • 1. Sound waves
  • 2. One-dimensional waves in fluids
  • 3. Water waves
  • 4. Internal waves
  • Epilogue
  • Bibliography
  • Notation list
  • Author index
  • Subject index
  • Ch. 1 Sound waves
  • 1.1. The wave equation
  • 1.2. The speed of sound
  • 1.3. Acoustic energy and intensity
  • 1.4. The simple source
  • 1.5. The acoustic dipole
  • 1.6. Compact source regions in general
  • 1.7. Compact source regions with dipole far fields
  • 1.8. Ripple-tanks simulations
  • 1.9. Scattering by compact bodies
  • 1.10. Quadrupole radiation
  • 1.11. Radiation from spheres
  • 1.12. Radiation from plane walls
  • 1.13. Dissipation of acoustic energy
  • Ch. 2. One-dimensional waves in fluids
  • 2.1. Longitudinal waves in tubes and channels
  • 2.2. Examples, including elastic tubes and open channels
  • 2.3. Transmission of waves through junctions
  • 2.4. Propagation through branching systems
  • 2.5. Cavities, constrictions, resonators
  • 2.6. Linear propagation with gradually varying composition and cross-section
  • 2.7. Frictional attenuation
  • 2.8. Nonlinear theory of plane waves
  • 2.9. Simple waves
  • 2.10. Shock waves
  • 2.11. Theory of simple waves incorporating weak shock waves
  • 2.12. Hydraulic jumps
  • 2.13. Nonlinear propagation with gradually varying composition and cross-section
  • 2.14. Nonlinear geometrical acoustics
  • Ch. 3. Water waves
  • 3.1. Surface gravity waves
  • 3.2. Sinusoidal waves on deep water
  • 3.3. Sinusoidal waves on water of arbitrary, but uniform, depth
  • 3.4. Ripples
  • 3.5. Attenuation
  • 3.6. Introduction to group velocity
  • 3.7. The Fourier analysis of dispersive systems
  • 3.8. Energy propagation velocity
  • 3.9. Wave patterns made by obstacles in a steady steam
  • 3.10. Ship waves
  • Ch. 4. Internal waves
  • 4.1. Introduction to internal gravity waves
  • 4.2. Combined theory of sound and internal waves
  • 4.3. Internal waves in the ocean and in the atmosphere
  • 4.4. Introduction to anisotropic dispersion
  • 4.5. General theory of ray tracing
  • Chapter 1 Sound waves
  • 1.1 The wave equation 1
  • 1.2 The speed of sound 5
  • 1.3 Acoustic energy and intensity 11
  • 1.4 The simple source 17
  • 1.5 The acoustic dipole 23
  • 1.6 Compact source regions in general 31
  • 1.7 Compact source regions with dipole far fields 35
  • 1.8 Ripple-tank simulations 41
  • 1.9 Scattering by compact bodies 50
  • 1.10 Quadrupole radiation 57
  • 1.11 Radiation from spheres 65
  • 1.12 Radiation from plane walls 70
  • 1.13 Dissipation of acoustic energy 76
  • Chapter 2. One-dimensional waves in fluids
  • 2.1 Longitudinal waves in tubes and channels 89
  • 2.2 Examples, including elastic tubes and open channels 94
  • 2.3 Transmission of waves through junctions 100
  • 2.4 Propagation through branching systems 107
  • 2.5 Cavities, constrictions, resonators 113
  • 2.6 Linear propagation with gradually varying composition and cross-section 120
  • 2.7 Frictional attenuation 128
  • 2.8 Nonlinear theory of plane waves 137
  • 2.9 Simple waves 144
  • 2.10 Shock waves 152
  • 2.11 Theory of simple waves incorporating weak shock waves 165
  • 2.12 Hydraulic jumps 175
  • 2.13 Nonlinear propagation with gradually varying composition and cross-section 183
  • 2.14 Nonlinear geometrical acoustics 190
  • Chapter 3. Water waves
  • 3.1 Surface gravity waves 204
  • 3.2 Sinusoidal waves on deep water 208
  • 3.3 Sinusoidal waves on water of arbitrary, but uniform, depth 214
  • 3.4 Ripples 221
  • 3.5 Attenuation 229
  • 3.6 Introduction to group velocity 237
  • 3.7 The Fourier analysis of dispersive systems 246
  • 3.8 Energy propagation velocity 254
  • 3.9 Wave patterns made by obstacles in a steady stream 260
  • 3.10 Ship waves 269
  • Chapter 4. Internal waves
  • 4.1 Introduction to internal gravity waves 284
  • 4.2 Combined theory of sound and internal waves 291
  • 4.3 Internal waves in the ocean and in the atmosphere 298
  • 4.4 Introduction to anisotropic dispersion 308
  • 4.5 General theory of ray tracing 317
  • 4.6 Ray tracing in a wind 325
  • 4.7 Steady streaming generated by wave attenuation 337
  • 4.8 Stationary phase in three dimensions 351
  • 4.9 General theory of oscillating sources of waves 361
  • 4.10 Internal waves generated by an oscillating source 373
  • 4.11 Caustics 385
  • 4.12 Wave generation by travelling forcing effects 399
  • 4.13 Waveguides 418
  • Part 1 A variety of waves in fluids 437
  • Part 2 Nonlinear effects on dispersive wave propagation 450.
  • 4.6 Ray tracing in a wind
  • 4.7. Steady streaming generated by wave attenuation
  • 4.8. Stationary phase in three dimensions
  • 4.9. General theory of oscillating sources of waves
  • 4.10. Internal waves generated by an oscillating source
  • 4.11. Caustics
  • 4.12. Wave generation by travelling forcing effects
  • 4.13. Waveguides.

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