Turbulence: The Legacy of A. N. Kolmogorov / Edition 1

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Overview

This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A.N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such "fully developed turbulence" is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. First, a qualitative introduction is given to bring out the need for a probabilistic description of what is in essence a deterministic system. Kolmogorov's 1941 theory is presented in a novel fashion with emphasis on symmetries (including scaling transformations) which are broken by the mechanisms producing the turbulence and restored by the chaotic character of the cascade to small scales. Considerable material is devoted to intermittency, the clumpiness of small-scale activity, which has led to the development of fractal and multifractal models. Such models, pioneered by B. Mandelbrot, have applications in numerous fields besides turbulence (diffusion limited aggregation, solid-earth geophysics, attractors of dynamical systems, etc). The final chapter contains an introduction to analytic theories of the sort pioneered by R. Kraichnan, to the modern theory of eddy transport and renormalization and to recent developments in the statistical theory of two-dimensional turbulence. The book concludes with a guide to further reading. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers.
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Editorial Reviews

From the Publisher
"This is a work of great scholarship....This book belongs in the library of any college or university where physics is taught. It can productively be used as a reference in advanced undergraduate courses or as a text for a one-semester course on turbulence itself." Russell J. Donnelly, Physics Today
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Product Details

  • ISBN-13: 9780521457132
  • Publisher: Cambridge University Press
  • Publication date: 12/28/2006
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 312
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.67 (d)

Table of Contents

Preface
Ch. 1 Introduction
Ch. 2 Symmetries and conservation laws
Ch. 3 Why a probabilistic description of turbulence?
Ch. 4 Probabilistic tools: a survey
Ch. 5 Two experimental laws of fully developed turbulence
Ch. 6 The Kolmogorov 1941 theory
Ch. 7 Phenomenology of turbulence in the sense of Kolmogorov 1941
Ch. 8 Intermittency
Ch. 9 Further reading: a guided tour
References
Author index
Subject index
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