| Preface | p. xi |
| The Statistical Description of Turbulent Flow | |
| Introduction | p. 1 |
| The development of a theory for turbulent flow | p. 3 |
| The statistical description of turbulent flow | p. 3 |
| Notation for turbulent flows | p. 5 |
| Three-dimensional correlation and spectrum functions | p. 6 |
| One-dimensional correlation and spectrum functions | p. 16 |
| Correlations and spectra with time delay | p. 23 |
| Homogeneity and symmetry of turbulent flows | p. 28 |
| The Equations of Motion for Turbulent Flow | |
| Assumption of a continuous fluid | p. 32 |
| The equations of fluid motion | p. 33 |
| Approximate forms of the equations of motion | p. 36 |
| Mean value equations for momentum, energy and heat | p. 38 |
| Energy dissipation by viscosity | p. 41 |
| Conductive dissipation of temperature fluctuations | p. 43 |
| The relation between the pressure and velocity fields | p. 43 |
| Homogeneous Turbulent Flows | |
| Introduction | p. 45 |
| Eddy interactions in homogeneous turbulence | p. 46 |
| Experimental approximations to homogeneous turbulence | p. 49 |
| Isotropic turbulence: general | p. 51 |
| Reynolds number similarity in isotropic turbulence | p. 53 |
| Self-preserving development in isotropic turbulence | p. 59 |
| Space-time correlations in isotropic turbulence | p. 62 |
| The Taylor approximation of frozen flow | p. 64 |
| The tendency to isotropy of homogeneous turbulence | p. 66 |
| Uniform distortion of homogeneous turbulence | p. 71 |
| Irrotational distortion of grid turbulence | p. 74 |
| Unidirectional, plane shearing of homogeneous turbulence | p. 80 |
| Local isotropy and equilibrium of small eddies | p. 88 |
| Measurement of spectrum and structure functions | p. 93 |
| Energy transfer in the inertial subrange | p. 99 |
| The equilibrium spectrum in the viscous subrange | p. 100 |
| Local isotropy in non-Newtonian fluids | p. 103 |
| Inhomogeneous Shear Flow | |
| Large eddies and the main turbulent motion | p. 105 |
| Structural similarity of the main turbulent motion | p. 106 |
| Nature of the main turbulent motion | p. 118 |
| Generation and maintenance of the main motion | p. 120 |
| Flow inhomogeneity and the large eddies | p. 122 |
| The dependence of Reynolds stress on mean velocity | p. 124 |
| Statistical distributions of velocity fluctuations | p. 126 |
| Turbulent Flow in Pipes and Channels | |
| Introduction | p. 130 |
| Equations of motion for unidirectional mean flow | p. 131 |
| Reynolds number similarity in pipe and channel flow | p. 133 |
| Wall similarity in the region of constant stress | p. 135 |
| Flow over rough walls | p. 140 |
| Mean flow in the central region | p. 145 |
| The turbulent motion in constant-stress equilibrium layers | p. 150 |
| Eddy structure in equilibrium layers | p. 156 |
| Motion in the viscous layer next the wall | p. 163 |
| Fluctuations of pressure and shear stress on a wall | p. 165 |
| The magnitude of the Karman constant | p. 168 |
| Turbulent flow and flow constants | p. 169 |
| Similarity flows in channels and pipes of varying widths | p. 172 |
| Equilibrium layers with variable stress | p. 176 |
| Equilibrium layers with linear distributions of stress | p. 180 |
| Equilibrium layers with surface transpiration | p. 184 |
| Equilibrium layers with variable direction of flow | p. 186 |
| Free Turbulent Shear flows | |
| General properties of free turbulence | p. 188 |
| Equations of motion: the boundary-layer approximation | p. 188 |
| Integral constraints on free turbulent flows | p. 193 |
| Self-preserving development of free turbulent flows | p. 195 |
| The distributions of mean velocity and Reynolds stress | p. 201 |
| The balance of turbulent kinetic energy | p. 205 |
| The bounding surface of free turbulent flows | p. 209 |
| Distributions of turbulent intensity and Reynolds stress | p. 214 |
| Flow constants for self-preserving jets and wakes | p. 220 |
| The flow constants of plane mixing layers | p. 227 |
| The entrainment of ambient fluid | p. 230 |
| Basic entrainment processes | p. 232 |
| Entrainment eddies in plane wakes | p. 241 |
| Mechanism of the entrainment eddies | p. 243 |
| Control of the entrainment rate | p. 247 |
| Fluctuations outside the turbulent flow: sound radiation | p. 248 |
| Irrotational fluctuations in the near field | p. 251 |
| Development of nearly self-preserving flows | p. 252 |
| Development of a jet in a moving stream of constant velocity | p. 255 |
| Boundary Layers and Wall Jets | |
| Wall layers in general | p. 259 |
| Self-preserving development of wall layers | p. 262 |
| General properties of self-preserving wall layers | p. 263 |
| Flow parameters of self-preserving wall layers | p. 266 |
| Development of self-preserving wall jets | p. 268 |
| Development of self-preserving boundary layers | p. 272 |
| Boundary-layer development with zero wall stress | p. 276 |
| Wall layers with convergent flow | p. 280 |
| Almost self-preserving development | p. 283 |
| Laycrs with nearly uniform velocity in the free stream | p. 287 |
| Turbulent flow in self-preserving boundary layers | p. 289 |
| Development of boundary layers in arbitrary external conditions | p. 294 |
| Boundary-layer development after a sudden change of external conditions | p. 298 |
| Development in a region of strong adverse pressure gradient | p. 301 |
| Layer development after a sudden change of roughness | p. 307 |
| Boundary layers with three-dimensional mean flow | p. 312 |
| Three-dimensional flow with negligible Reynolds stresses | p. 316 |
| Homogeneous three-dimensional flow - the Ekman layer | p. 318 |
| Secondary flow in a boundary layer with a free edge | p. 323 |
| Lateral variations of stress in boundary layers | p. 328 |
| Periodic structure of flow near the viscous layer | p. 331 |
| Turbulent Convection of Heat and Passive Contaminants | |
| Governing equations and dimensional considerations | p. 334 |
| Diffusion by continuous movements: effect of molecular diffusive transport | p. 336 |
| Eulerian description of convective flows: mean value equations and correlation functions | p. 338 |
| Local forms of the Richardson number | p. 341 |
| Spectrum functions and local similarity | p. 342 |
| Scattering of light by density fluctuations in a turbulent flow | p. 348 |
| Self-preserving development of temperature fields in forced convection flows | p. 350 |
| Forced convection in wall flows | p. 352 |
| Rates of heat transfer in forced convection | p. 356 |
| Convection in a constant-stress layer after an abrupt change in wall flux or temperature | p. 361 |
| Longitudinal diffusion in pipe flow | p. 364 |
| Natural convection and energy transfer | p. 366 |
| Buoyant plumes and thermals | p. 366 |
| The effect of buoyancy forces on turbulent motion | p. 372 |
| Horizontal wall layers with heat transport | p. 375 |
| Nature of turbulence in strongly stable flows | p. 378 |
| Transient behaviour of boundary layers with heat transfer | p. 379 |
| Convective turbulence | p. 380 |
| Heat convection between horizontal, parallel planes | p. 381 |
| Heat transfer in Benard convection | p. 384 |
| Similarity and structure of Benard convection | p. 386 |
| Natural convection in wall layers | p. 390 |
| Turbulent flow with Curvature of the Mean Velocity Streamlines | |
| Mean value equations for curved flow: the analogy between the effects of flow curvature and density stratification | p. 393 |
| Couette flow between rotating cylinders | p. 398 |
| Flow with the outer cylinder stationary | p. 400 |
| Turbulent motion with the outer cylinder stationary | p. 404 |
| Flow with the outer cylinder rotating | p. 407 |
| References | p. 413 |
| Index | p. 425 |
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