Overview

This study attempts to reconcile the theory of turbulence, too often presented in a formal, isolated mathematical context, with the general theory of fluid dynamics. It reviews, in a unifying manner, the main characteristics and general theorems of rotational fluids (liquids or gases), with applications to aerodynamics and geophysical fluid dynamics. Emphasis is placed both on unpredictability, mixing, and coherent vortices or structures. Transition to turbulence in wall or free-shear flows is considered both on the basis of linear-instability theory and of experiments or numerical simulations. Thermal convection is also studied. This third edition presents in a synthetic manner coherent vortices existing both in free or wall-bounded shear flows and in isotropic turbulence. A new mechanics of elementary vortices is built, involving spirals, dipoles, pairings, dislocations, longitudinal hairpins, streaks etc. It is seen how turbulence topology reacts to the action of stable stratification, rotation, separation or compressibility. The book discusses the phenomenological theories of isotropic turbulence and turbulent diffusion, both in Fourier and physical spaces. It emphasizes the use of two-point closures and stochastic models, a powerful tool allowing representation of strongly nonlinear actions. The role of helicity is considered. A theory of spectral eddy viscosity and backscatter is proposed. The latter phenomenon is shown to govern inverse cascades of passive scalars and small-scale uncertainty. The Renormalization-Group techniques are assessed.

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... welcome this excellent reference book and would highly recommend it to a theoretician, a modeler and an engineer who has to select a turbulence model befitting his task ... a welcome addition to every scientific library ...' European Journal of Mechanics, B/Fluids ... a good introduction to turbulence ... ' Meccanica ... highly recommended to all research workers in fluid dynamics ...' The Aeronautical Journal

... welcome this excellent reference book and would highly recommend it to a theoretician, a modeler and an engineer who has to select a turbulence model befitting his task ... a welcome addition to every scientific library ...' European Journal of Mechanics, B/Fluids ... a good introduction to turbulence ... ' Meccanica ... highly recommended to all research workers in fluid dynamics ...' The Aeronautical Journal ... welcome this excellent reference book and would highly recommend it to a theoretician, a modeler and an engineer who has to select a turbulence model befitting his task ... a welcome addition to every scientific library ...' European Journal of Mechanics, B/Fluids ... a good introduction to turbulence ...' Meccanica ... highly recommended to all research workers in fluid dynamics ...' The Aeronautical Journal

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