TY  - BOOK
AU  - Davidson,P.A.
TI  - Turbulence: An Introduction for Scientists and Engineers
SN  - 9780191589850
AV  - QA913 -- .D39 2004eb 
U1  - 532/.0527 
PY  - 2004///
CY  - Oxford
PB  - Oxford University Press
KW  - Turbulence
KW  - Electronic books
N1  - Cover -- Contents -- Part I: The classical picture of turbulence -- 1 The ubiquitous nature of turbulence -- 1.1 The experiments of Taylor and Bénard -- 1.2 Flow over a cylinder -- 1.3 Reynolds' experiment -- 1.4 Common themes -- 1.5 The ubiquitous nature of turbulence -- 1.6 Different scales in a turbulent flow: a glimpse at the energy cascade of Kolmogorov and Richardson -- 1.7 The closure problem of turbulence -- 1.8 Is there a 'theory of turbulence'? -- 1.9 The interaction of theory, computation, and experiment -- 2 The equations of fluid mechanics -- 2.1 The Navier-Stokes equation -- 2.2 Relating pressure to velocity -- 2.3 Vorticity dynamics -- 2.4 A definition of turbulence -- 3 The origins and nature of turbulence -- 3.1 The nature of chaos -- 3.2 Some elementary properties of freely evolving turbulence -- 4 Turbulent shear flows and simple closure models -- 4.1 The exchange of energy between the mean flow and the turbulence -- 4.2 Wall-bounded shear flows and the log-law of the wall -- 4.3 Free shear flows -- 4.4 Homogeneous shear flow -- 4.5 Heat transfer in wall-bounded shear flows-the log-law revisited -- 4.6 More on one-point closure models -- 5 The phenomenology of Taylor, Richardson, and Kolmogorov -- 5.1 Richardson revisited -- 5.2 Kolmogorov revisited -- 5.3 The intensification of vorticity and the stretching of material lines -- 5.4 Turbulent diffusion by continuous movements -- 5.5 Why turbulence is never Gaussian -- 5.6 Closure -- Appendix: The statistical equations for a passive scalar in isotropic turbulence: Yaglom's four-thirds Law and Corrsin's integral -- Part II: Freely decaying, homogeneous turbulence -- 6 Isotropic turbulence (In real space) -- 6.1 Introduction: exploring isotropic turbulence in real space -- 6.2 The governing equations of isotropic turbulence -- 6.3 The dynamics of the large scales; 6.4 The characteristic signature of eddies of different shape -- 6.5 Intermittency in the inertial-range eddies -- 6.6 The distribution of energy and vorticity across the different eddy sizes -- Appendix: Turbulence composed of Townsend's model eddy -- 7 The role of numerical simulations -- 7.1 What is DNS or LES? -- 7.2 On the dangers of periodicity -- 7.3 Structure in chaos -- 7.4 Postscript -- 8 Isotropic turbulence (in spectral space) -- 8.1 Kinematics in spectral space -- 8.2 Dynamics in spectral space -- Part III: Special topics -- 9 The influence of rotation, stratification, and magnetic fields on turbulence -- 9.1 The importance of body forces in geophysics and astrophysics -- 9.2 The influence of rapid rotation and stable stratification -- 9.3 The influence of magnetic fields I-the MHD equations -- 9.4 The influence of magnetic fields II-MHD turbulence -- 9.5 The combined effects of Coriolis and Lorentz forces -- 10 Two-dimensional turbulence -- 10.1 The classical picture of two-dimensional turbulence: Batchelor's self-similar spectrum -- 10.2 Coherent vortices: a problem for the classical theory -- 10.3 The governing equations in statistical form -- 10.4 Variational principles for predicting the final state in confined domains -- 10.5 Quasi-two-dimensional turbulence: bridging the gap with reality -- Epilogue -- Appendices -- Appendix 1 Vector identities and an introduction to tensor notation -- Al.l Vector identities and theorems -- A1.2 An introduction to tensor notation -- Appendix 2 The properties of isolated vortices: invariants, far-field properties, and long-range interactions -- A2.1 The far-field velocity induced by an isolated eddy -- A2.2 The pressure distribution in the far field -- A2.3 Integral invariants of an isolated eddy -- A2.4 Long-range interactions between eddies; Appendix 3 Long-range pressure forces in isotropic turbulence -- A3.1 A dynamic equation for the pressureinduced, long-range correlations -- A3.2 Experimental evidence for the strength of long-range pressure forces -- Appendix 4 Hankel transforms and hypergeometric functions -- A4.1 Hankel transforms -- A4.2 Hypergeometric functions -- Appendix 5 The kinematics of homogeneous, axisymmetric turbulence -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W
N2  - Based on a taught by the author at the University of Cambridge, this comprehensive text on turbulence and fluid dynamics is aimed at year 4 undergraduates and graduates in applied mathematics, physics, and engineering, and provides an ideal reference for industry professionals and researchers. It bridges the gap between elementary accounts of turbulence found in undergraduate texts and more rigorous accounts given in monographs on the subject. Containing manyexamples, the author combines the maximum of physical insight with the minimum of mathematical detail where possible. The text is highly illustrated throughout, and includes colour plates; required mathematical techniques are covered in extensive appendices. The text is divided into three parts: Part I consists of a traditional introduction to the classical aspects of turbulence, the nature of turbulence, and the equations of fluid mechanics. Mathematics is kept to a minimum, presupposing only an elementary knowledge of fluid mechanics and statistics. Part II tackles the problem of homogeneous turbulence with a focus on describing the phenomena in real space. Part III covers certain special topics rarely discussed in introductory texts. Manygeophysical and astrophysical flows are dominated by the effects of body forces, such as buoyancy, Coriolis and Lorentz forces. Moreover, certain large-scale flows are approximately two-dimensional and this has led to a concerted investigation of two-dimensional turbulence over the last fewyears. Both the influence of body forces and two-dimensional turbulence are discussed
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