Preface |
The Statistical Description of Turbulent Flow / 1: |
Introduction / 1.1: |
The development of a theory for turbulent flow / 1.2: |
The statistical description of turbulent flow / 1.3: |
Notation for turbulent flows / 1.4: |
Three-dimensional correlation and spectrum functions / 1.5: |
One-dimensional correlation and spectrum functions / 1.6: |
Correlations and spectra with time delay / 1.7: |
Homogeneity and symmetry of turbulent flows / 1.8: |
The Equations of Motion for Turbulent Flow / 2: |
Assumption of a continuous fluid / 2.1: |
The equations of fluid motion / 2.2: |
Approximate forms of the equations of motion / 2.3: |
Mean value equations for momentum, energy and heat / 2.4: |
Energy dissipation by viscosity / 2.5: |
Conductive dissipation of temperature fluctuations / 2.6: |
The relation between the pressure and velocity fields / 2.7: |
Homogeneous Turbulent Flows / 3: |
Eddy interactions in homogeneous turbulence / 3.1: |
Experimental approximations to homogeneous turbulence / 3.3: |
Isotropic turbulence: general / 3.4: |
Reynolds number similarity in isotropic turbulence / 3.5: |
Self-preserving development in isotropic turbulence / 3.6: |
Space-time correlations in isotropic turbulence / 3.7: |
The Taylor approximation of frozen flow / 3.8: |
The tendency to isotropy of homogeneous turbulence / 3.9: |
Uniform distortion of homogeneous turbulence / 3.10: |
Irrotational distortion of grid turbulence / 3.11: |
Unidirectional, plane shearing of homogeneous turbulence / 3.12: |
Local isotropy and equilibrium of small eddies / 3.13: |
Measurement of spectrum and structure functions / 3.14: |
Energy transfer in the inertial subrange / 3.15: |
The equilibrium spectrum in the viscous subrange / 3.16: |
Local isotropy in non-Newtonian fluids / 3.17: |
Inhomogeneous Shear Flow / 4: |
Large eddies and the main turbulent motion / 4.1: |
Structural similarity of the main turbulent motion / 4.2: |
Nature of the main turbulent motion / 4.3: |
Generation and maintenance of the main motion / 4.4: |
Flow inhomogeneity and the large eddies / 4.5: |
The dependence of Reynolds stress on mean velocity / 4.6: |
Statistical distributions of velocity fluctuations / 4.7: |
Turbulent Flow in Pipes and Channels / 5: |
Equations of motion for unidirectional mean flow / 5.1: |
Reynolds number similarity in pipe and channel flow / 5.3: |
Wall similarity in the region of constant stress / 5.4: |
Flow over rough walls / 5.5: |
Mean flow in the central region / 5.6: |
The turbulent motion in constant-stress equilibrium layers / 5.7: |
Eddy structure in equilibrium layers / 5.8: |
Motion in the viscous layer next the wall / 5.9: |
Fluctuations of pressure and shear stress on a wall / 5.10: |
The magnitude of the Karman constant / 5.11: |
Turbulent flow and flow constants / 5.12: |
Similarity flows in channels and pipes of varying widths / 5.13: |
Equilibrium layers with variable stress / 5.14: |
Equilibrium layers with linear distributions of stress / 5.15: |
Equilibrium layers with surface transpiration / 5.16: |
Equilibrium layers with variable direction of flow / 5.17: |
Free Turbulent Shear flows / 6: |
General properties of free turbulence / 6.1: |
Equations of motion: the boundary-layer approximation / 6.2: |
Integral constraints on free turbulent flows / 6.3: |
Self-preserving development of free turbulent flows / 6.4: |
The distributions of mean velocity and Reynolds stress / 6.5: |
The balance of turbulent kinetic energy / 6.6: |
The bounding surface of free turbulent flows / 6.7: |
Distributions of turbulent intensity and Reynolds stress / 6.8: |
Flow constants for self-preserving jets and wakes / 6.9: |
The flow constants of plane mixing layers / 6.10: |
The entrainment of ambient fluid / 6.11: |
Basic entrainment processes / 6.12: |
Entrainment eddies in plane wakes / 6.13: |
Mechanism of the entrainment eddies / 6.14: |
Control of the entrainment rate / 6.15: |
Fluctuations outside the turbulent flow: sound radiation / 6.16: |
Irrotational fluctuations in the near field / 6.17: |
Development of nearly self-preserving flows / 6.18: |
Development of a jet in a moving stream of constant velocity / 6.19: |
Boundary Layers and Wall Jets / 7: |
Wall layers in general / 7.1: |
Self-preserving development of wall layers / 7.2: |
General properties of self-preserving wall layers / 7.3: |
Flow parameters of self-preserving wall layers / 7.4: |
Development of self-preserving wall jets / 7.5: |
Development of self-preserving boundary layers / 7.6: |
Boundary-layer development with zero wall stress / 7.7: |
Wall layers with convergent flow / 7.8: |
Almost self-preserving development / 7.9: |
Laycrs with nearly uniform velocity in the free stream / 7.10: |
Turbulent flow in self-preserving boundary layers / 7.11: |
Development of boundary layers in arbitrary external conditions / 7.12: |
Boundary-layer development after a sudden change of external conditions / 7.13: |
Development in a region of strong adverse pressure gradient / 7.14: |
Layer development after a sudden change of roughness / 7.15: |
Boundary layers with three-dimensional mean flow / 7.16: |
Three-dimensional flow with negligible Reynolds stresses / 7.17: |
Homogeneous three-dimensional flow - the Ekman layer / 7.18: |
Secondary flow in a boundary layer with a free edge / 7.19: |
Lateral variations of stress in boundary layers / 7.20: |
Periodic structure of flow near the viscous layer / 7.21: |
Turbulent Convection of Heat and Passive Contaminants / 8: |
Governing equations and dimensional considerations / 8.1: |
Diffusion by continuous movements: effect of molecular diffusive transport / 8.2: |
Eulerian description of convective flows: mean value equations and correlation functions / 8.3: |
Local forms of the Richardson number / 8.4: |
Spectrum functions and local similarity / 8.5: |
Scattering of light by density fluctuations in a turbulent flow / 8.6: |
Self-preserving development of temperature fields in forced convection flows / 8.7: |
Forced convection in wall flows / 8.8: |
Rates of heat transfer in forced convection / 8.9: |
Convection in a constant-stress layer after an abrupt change in wall flux or temperature / 8.10: |
Longitudinal diffusion in pipe flow / 8.11: |
Natural convection and energy transfer / 8.12: |
Buoyant plumes and thermals / 8.13: |
The effect of buoyancy forces on turbulent motion / 8.14: |
Horizontal wall layers with heat transport / 8.15: |
Nature of turbulence in strongly stable flows / 8.16: |
Transient behaviour of boundary layers with heat transfer / 8.17: |
Convective turbulence / 8.18: |
Heat convection between horizontal, parallel planes / 8.19: |
Heat transfer in Benard convection / 8.20: |
Similarity and structure of Benard convection / 8.21: |
Natural convection in wall layers / 8.22: |
Turbulent flow with Curvature of the Mean Velocity Streamlines / 9: |
Mean value equations for curved flow: the analogy between the effects of flow curvature and density stratification / 9.1: |
Couette flow between rotating cylinders / 9.2: |
Flow with the outer cylinder stationary / 9.3: |
Turbulent motion with the outer cylinder stationary / 9.4: |
Flow with the outer cylinder rotating / 9.5: |
References |
Index |
The equations of motion for turbulent flow |
Homogeneous turbulent flows |
Inhomogeneous shear flow |
Turbulent flow in pipes and channels |
Free turbulent shear flows |
Boundary layers and wall jets |
Turbulent convection of heat and passive contaminants |
Turbulent flow with curvature of the mean velocity streamlines |
Preface |
The Statistical Description of Turbulent Flow / 1: |
Introduction / 1.1: |
The development of a theory for turbulent flow / 1.2: |
The statistical description of turbulent flow / 1.3: |
Notation for turbulent flows / 1.4: |