| Preface to the second edition |
| Preface to the first edition |
| Introduction with historical notes / 1： |
| Characteristic scales and nondimensional parameters / 2： |
| Basic equations / 3： |
| Equations of motion |
| Averaged equations |
| Stability and turbulent energy |
| Statistical tools for description of turbulence / 4： |
| Ensemble averages |
| Joint moment, covariance |
| Stationary random functions |
| Properties of the time autocovariances |
| Joint covariance |
| Spectra and cross spectra |
| Space-time covariances |
| Response of linear systems to random excitation |
| Impulse response and superposition |
| Response to a random input |
| Examples of response calculations |
| Distribution function and probability density |
| Characteristic function |
| Joint distributions, conditional probability |
| Central limit theorem |
| The lognormal distribution |
| Flows that are homogeneous in more than one spatial dimension / 5： |
| Some spatially homogeneous fields |
| Isotropic turbulence |
| Waves / 6： |
| Kinematic wave theory |
| Effects of weak nonlinearity |
| Modulational instability |
| Soliton behavior |
| Surface gravity waves |
| Discussion |
| Instability and transition to turbulence / 7： |
| Instability to small disturbances |
| Universality in transition to chaos |
| Shear flow turbulence structure / 8： |
| Boundary layer turbulence structure |
| Theoretical model for wall layer bursting |
| Structure of free-shear layers |
| Turbulence modeling and closure schemes / 9： |
| Some turbulence models |
| Closure schemes for spectral theories |
| Aerodynamic noise / 10： |
| A linear acoustic field excited by turbulent fluctuations |
| The far-field sound |
| Similarity analysis for the emitted sound |
| Effects of source motion and sound advection |
| Effects of a nonuniform flow |
| Instability of a supersonic jet, overreflection |
| Instability of an isolated shear layer |
| Convective transport / 11： |
| Nondimensional parameters characterizing convective transport |
| Thermal convection without mean shear |
| Numerical simulation of turbulence / 12： |
| Numerical techniques |
| Some results from numerical simulation |
| References |
| Index |
| Preface to the second edition |
| Preface to the first edition |
| Introduction with historical notes / 1： |
| Characteristic scales and nondimensional parameters / 2： |
| Basic equations / 3： |
| Equations of motion |
