Overview

"Turbulence is a dangerous topic which is often at the origin of serious fights in the scientific meetings devoted to it since it represents extremely different points of view, all of which have in common their complexity, as well as an inability to solve the problem. It is even difficult to agree on what exactly is the problem to be solved. Extremely schematically, two opposing points of view have been advocated during these last ten years: the first one is ""statistical"", and tries to model the evolution of averaged quantities of the flow. This com­ has followed the glorious trail of Taylor and Kolmogorov, munity, which believes in the phenomenology of cascades, and strongly disputes the possibility of any coherence or order associated to turbulence. On the other bank of the river stands the ""coherence among chaos"" community, which considers turbulence from a purely deterministic po­ int of view, by studying either the behaviour of dynamical systems, or the stability of flows in various situations. To this community are also associated the experimentalists who seek to identify coherent structures in shear flows."

Full Product Details

Author:   Marcel Lesieur
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1987
Volume:   6
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.468kg
ISBN:  

9789401080859

ISBN 10:   9401080852
Pages:   298
Publication Date:   28 July 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

I Introduction to turbulence in fluid mechanics.- 1 Is it possible to define turbulence?.- 2 Examples of turbulent flows.- 3 Fully developed turbulence.- 4 Fluid turbulence and “chaos”.- 5 “Deterministic” and statistical approaches.- 6 Why study isotropic turbulence?.- II Basic fluid dynamics.- 1 Eulerian notation and Lagrangian derivatives.- 2 The continuity equation.- 3 The conservation of momentum.- 4 The thermodynamic equation.- 5 The incompressibility assumption.- 6 The dynamics of vorticity.- 7 The generalized Kelvin theorem.- 8 The Boussinesq equations.- 9 Internal inertial-gravity waves.- 10 Barré de Saint-Venant equations.- III Transition to turbulence.- 1 The Reynolds number.- 2 The Rayleigh number.- 3 The Rossby number.- 4 The Froude Number.- 5 Turbulence, order and chaos.- IV The Fourier space.- 1 Fourier representation of a flow.- 2 Navier-Stokes equations in Fourier space.- 3 Boussinesq equations in the Fourier space.- 4 Craya decomposition.- 5 Complex helical waves decomposition.- V Kinematics of homogeneous turbulence.- 1 Utilization of random functions.- 2 Moments of the velocity field, homogeneity and stationarity.- 3 Isotropy.- 4 The spectral tensor of an isotropic turbulence.- 5 Energy, helicity, enstrophy and scalar spectra.- 6 Alternative expressions of the spectral tensor.- 7 Axisymmetric turbulence.- VI Phenomenological theories.- 1 The closure problem of turbulence.- 2 Karman-Howarth equations in Fourier space.- 3 Transfer and Flux.- 4 The Kolmogorov theory.- 5 The Richardson law.- 6 Characteristic scales of turbulence.- 7 The skewness factor.- 8 The internal intermittency.- VII Analytical theories and stochastic models.- 1 Introduction.- 2 The Quasi-Normal approximation.- 3 The Eddy-Damped Quasi-Normal type theories.- 4 The stochasticmodels.- 5 Phenomenology of the closures.- 6 Numerical resolution of the closure equations.- 7 The enstrophy divergence and energy catastrophe.- 8 The Burgers-M.R.C.M. model.- 9 Isotropic helical turbulence.- 10 The decay of kinetic energy.- 11 E.D.Q.N.M. and R.N.G. techniques.- VIII Diffusion of passive scalars.- 1 Introduction.- 2 Phenomenology of the homogeneous passive scalar diffusion.- 3 The E.D.Q.N.M. isotropic passive scalar.- 4 The decay of temperature fluctuations.- 5 Lagrangian particle pair dispersion.- IX Two-dimensional and quasi-geostrophic turbulence.- 1 Introduction.- 2 The quasi-geostrophic theory.- 3 Two-dimensional isotropic turbulence.- 4 Diffusion of a passive scalar.- 5 Geostrophic turbulence.- X Absolute equilibrium ensembles.- 1 Truncated Euler Equations.- 2 Liouville’s theorem in the phase space.- 3 The application to two-dimensional turbulence.- 4 Two-dimensional turbulence over topography.- XI The statistical predictability theory.- 1 Introduction.- 2 The E.D.Q.N.M. predictability equations.- 3 Predictability of three dimensional turbulence.- 4 Predictability of two-dimensional turbulence.- XII Large-eddy simulations.- 1 The direct numerical simulation of turbulence.- 2 The Large Eddy Simulations.- 3 L.E.S. of 3-D isotropic turbulence.- 4 L.E.S. of two-dimensional turbulence.- XIII Towards “real world turbulence”.- 1 Introduction.- 2 Stably Stratified Turbulence.- 3 The Mixing Layer.- 4 Conclusion.- References.

Reviews

`Turbulence in Fluids will serve as a graduate-text to follow up... ' Pageoph `The book that Professor Lesieur has written on turbulence is an irreplaceable subject. Lesieur's work mixes rigor and intuition. ... it is the spirit in which it is written that is striking. Moreover the book is attractively presented. At the present time is seems difficult to ignore this book which fits very well into the collection of classical works on the subject.' Prof. J. Mathieu, Laboratoire de Mecanique des Fluides et d'Acoustique `The book is attractively produced ... some beautiful photographs ... this is an interesting and attractive book. Everyone interested in the more theoretical aspects of turbulence will want to read it. ' D.C. Leslie in Journal of Fluid Mechanics, 194 ` .. a useful text for a first course in turbulence for physicists, or as a second course for engineering students who have already had a more phenomenological introduction to the subject. It is a useful reference for the specialist who may not keep at his fingertips some of the details of the analytical theories and stochastic models. ' AIAA Journal, 26:10

'Turbulence in Fluids will serve as a graduate-text to follow up... ' Pageoph 'The book that Professor Lesieur has written on turbulence is an irreplaceable subject. Lesieur's work mixes rigor and intuition. ... it is the spirit in which it is written that is striking. Moreover the book is attractively presented. At the present time is seems difficult to ignore this book which fits very well into the collection of classical works on the subject.' Prof. J. Mathieu, Laboratoire de Mecanique des Fluides et d'Acoustique 'The book is attractively produced ... some beautiful photographs ... this is an interesting and attractive book. Everyone interested in the more theoretical aspects of turbulence will want to read it. ' D.C. Leslie in Journal of Fluid Mechanics, 194 ' .. a useful text for a first course in turbulence for physicists, or as a second course for engineering students who have already had a more phenomenological introduction to the subject. It is a useful reference for the specialist who may not keep at his fingertips some of the details of the analytical theories and stochastic models. ' AIAA Journal, 26:10

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