內容簡介
《流體中的波》是一部講述流體力學的基礎理論教程,是一部很難跨越的經典。自1978年首次齣版以來,本書曾1978,1979,1980,1987,1990,1993,1996,2001,2005多次重印齣版。書中包括瞭許多十分重要和有趣圖片,彌補瞭有些學生不能走進實驗室現場觀察流體現象的缺憾。每章末都包含有習題。和許多同類書比較,本書對於激發數學專業和工程專業的學生學習本專業具有很大的幫助作用。
《流體中的波》讀者對象:物理專業,應用數學專業的學生,老師以及工程人員。
目錄
preface
prologue
chapter 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-tank 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
exercises on chapter 1
chapter 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
exercises on chapter 2
chapter 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 stream
3.10 ship waves
exercises on chapter 3
chapter 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
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
exercises on chapter 4
epilogue
part 1 a variety of waves in fluids
part 2 nonlinear effects on dispersive wave propagation
bibliography
(indexed as pages a to q)
part 1 some basic texts
part 2 acoustic literature
part 3 water-wave literature.
part 4 stratified-fluids literature
part 5 a bibliography for the epilogue
notation list
author index
subject index
前言/序言
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