Waves in Fluids

By: James Lighthill, M. J. Lighthill

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Paperback | 7 January 2002 | Edition Number 2

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524 Pages

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22.86 x 15.24 x 2.97

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A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.

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Preface	p. ix
Prologue	p. xi
Sound waves
The wave equation	p. 1
The speed of sound	p. 5
Acoustic energy and intensity	p. 11
The simple source	p. 17
The acoustic dipole	p. 23
Compact source regions in general	p. 31
Compact source regions with dipole far fields	p. 35
Ripple-tank simulations	p. 41
Scattering by compact bodies	p. 50
Quadrupole radiation	p. 57
Radiation from spheres	p. 65
Radiation from plane walls	p. 70
Dissipation of acoustic energy	p. 76
Exercises on chapter 1	p. 85
One-dimensional waves in fluids
Longitudinal waves in tubes and channels	p. 89
Examples, including elastic tubes and open channels	p. 94
Transmission of waves through junctions	p. 100
Propagation through branching systems	p. 107
Cavities, constrictions, resonators	p. 113
Linear propagation with gradually varying composition and cross-section	p. 120
Frictional attenuation	p. 128
Nonlinear theory of plane waves	p. 137
Simple waves	p. 144
Shock waves	p. 152
Theory of simple waves incorporating weak shock waves	p. 165
Hydraulic jumps	p. 175
Nonlinear propagation with gradually varying composition and cross-section	p. 183
Nonlinear geometrical acoustics	p. 190
Exercises on chapter 2	p. 199
Water waves
Surface gravity waves	p. 204
Sinusoidal waves on deep water	p. 208
Sinusoidal waves on water of arbitrary, but uniform, depth	p. 214
Ripples	p. 221
Attenuation	p. 229
Introduction to group velocity	p. 237
The Fourier analysis of dispersive systems	p. 246
Energy propagation velocity	p. 254
Wave patterns made by obstacles in a steady stream	p. 260
Ship waves	p. 269
Exercises on chapter 3	p. 279
Internal waves
Introduction to internal gravity waves	p. 284
Combined theory of sound and internal waves	p. 291
Internal waves in the ocean and in the atmosphere	p. 298
Introduction to anisotropic dispersion	p. 308
General theory of ray tracing	p. 317
Ray tracing in a wind	p. 325
Steady streaming generated by wave attenuation	p. 337
Stationary phase in three dimensions	p. 351
General theory of oscillating sources of waves	p. 361
Internal waves generated by an oscillating source	p. 373
Caustics	p. 385
Wave generation by travelling forcing effects	p. 399
Waveguides	p. 418
Exercises on chapter 4	p. 432
Epilogue
A variety of waves in fluids	p. 437
Nonlinear effects on dispersive wave propagation	p. 450
Bibliography (indexed as pages A to Q)
Some basic texts	p. 470
Acoustic literature	p. 472
Water-wave literature	p. 476
Stratified-fluids literature	p. 479
A bibliography for the epilogue	p. 483
Notation list	p. 487
Author index	p. 490
Subject index	p. 492
Table of Contents provided by Syndetics. All Rights Reserved.

Waves in Fluids

At a Glance

Paperback

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