A First Course in Turbulence
A classical textbook on turbulence. Gives a thourough introduction to the theory of turbulence. Dimensional analysis and scaling arguments are used extensively. It is still one of the best introductory books, but it has been criticized to be out of date.
Format: Hardcover, English, 390 pages
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The subject of turbulence, the most forbidding in fluid dynamics, has usually proved treacherous to the beginner, caught in the whirls and eddies of its nonlinearities and statistical imponderables. This is the first book specifically designed to offer the student a smooth transitionary course between elementary fluid dynamics (which gives only last-minute attention to turbulence) and the professional literature on turbulent flow, where an advanced viewpoint is assumed.
Moreover, the text has been developed for students, engineers, and scientists with different technical backgrounds and interests. Almost all flows, natural and man-made, are turbulent. Thus the subject is the concern of geophysical and environmental scientists (in dealing with atmospheric jet streams, ocean currents, and the flow of rivers, for example), of astrophysicists (in studying the photospheres of the sun and stars or mapping gaseous nebulae), and of engineers (in calculating pipe flows, jets, or wakes). Many such examples are discussed in the book.
The approach taken avoids the difficulties of advanced mathematical development on the one side and the morass of experimental detail and empirical data on the other. As a result of following its midstream course, the text gives the student a physical understanding of the subject and deepens his intuitive insight into those problems that cannot now be rigorously solved.
In particular, dimensional analysis is used extensively in dealing with those problems whose exact solution is mathematically elusive. Dimensional reasoning, scale arguments, and similarity rules are introduced at the beginning and are applied throughout.
A discussion of Reynolds stress and the kinetic theory of gases provides the contrast needed to put mixing-length theory int proper perspective: the authors present a thorough comparison between the mixing-length models and dimensional analysis of shear flows. This is followed by an extensive treatment of vorticity dynamics, including vortex stretching and vorticity budgets.
Two chapters are devoted to boundary-free shear flows and well-bounded turbulent shear flows. The examples presented include wakes, jets, shear layers, thermal plumes, atmospheric boundary layers, pipe and channel flow, and boundary layers in pressure gradients.
The spatial structure of turbulent flow has been the subject of analysis in the book up to this point, at which a compact but thorough introduction to statistical methods is given. This prepares the reader to understand the stochastic and spectral structure of turbulence. The remainder of the book consists of applications of the statistical approach to the study of turbulent transport (including diffusion and mixing) and turbulent spectra.
Although this is one of the easiest books about turbulence theory it can be a bit tough to follow sometimes. I personally often had problems accepting the simplifications and assumptions the authors often are forced to do in order to arrive at something useful.
The book has been critised to be out of date, which is true to some extent, but I still think that the first chapters are among the best introductory text about turbulence that you can find.
Table of Contents
|1.1||The nature of turbulence|
|1.2||Methods of analysis|
|1.3||The origin of turbulence|
|1.4||Diffusivity of turbulence|
|1.5||Length scales in turbulent flows|
|1.6||Outline of the material|
|2||TURBULENT TRANSPORT OF MOMENTUM AND HEAT|
|2.1||The Reynolds equations|
|2.2||Elements of the kinetic theory of gases|
|2.3||Estimates of the Reynolds stress|
|2.4||Turbulent heat transfer|
|2.5||Turbulent shear flow near a rigid wall|
|3||THE DYNAMICS OF TURBULENCE|
|3.1||Kinetic energy of the mean flow|
|3.2||Kinetic energy of the turbulence|
|3.4||The dynamics of temperature fluctuations|
|4||BOUNDARY-FREE SHEAR FLOWS|
|4.1||Almost parallel, two-dimensional flows|
|4.3||The wake of a self-propelled body|
|4.4||Turbulent jets and mixing layers|
|4.5||Comparative structure of wakes, jets, and mixing layers|
|5||WALL-BOUNDED SHEAR FLOWS|
|5.1||The problem of multiple scales|
|5.2||Turbulent flows in pipes and channels|
|5.3||Planetary boundary layers|
|5.4||The effects of a pressure gradient on the flow in surface layers|
|5.5||The downstream development of turbulent boundary layers|
|6||THE STATISTICAL DESCRIPTION OF TURBULENCE|
|6.1||The probability density|
|6.2||Fourier transforms and characteristic functions|
|6.3||Joint statistics and statistical independence|
|6.4||Correlation functions and spectra|
|6.5||The central limit theorem|
|7.1||Transport in stationary, homogeneous turbulence|
|7.2||Transport in shear flows|
|7.3||Dispersion of contaminants|
|7.4||Turbulent transport in evolving flows|
|8.1||One- and three-dimensional spectra|
|8.2||The energy cascade|
|8.3||The spectrum of turbulence|
|8.4||The effects of production and dissipation|
|8.6||Spectra of passive scalar contaminants|