Turbulence: The Legacy of A. N. Kolmogorov 1st Edition by Uriel Frisch (PDF)

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Ebook Info

  • Published: 1996
  • Number of pages: 312 pages
  • Format: PDF
  • File Size: 4.75 MB
  • Authors: Uriel Frisch

Description

Written five centuries after the first studies of Leonardo da Vinci and half a century after A.N. Kolmogorov’s first attempt to predict the properties of flow, this textbook presents a modern account of turbulence, one of the greatest challenges in physics. “Fully developed turbulence” is ubiquitous in both cosmic and natural environments, in engineering applications and in everyday life. Elementary presentations of dynamical systems ideas, probabilistic methods (including the theory of large deviations) and fractal geometry make this a self-contained textbook. This is the first book on turbulence to use modern ideas from chaos and symmetry breaking. The book will appeal to first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, as well as professional scientists and engineers.

User’s Reviews

Editorial Reviews: Review “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 Book Description This textbook presents a modern account of turbulence, which is ubiquitous in both cosmical and natural environments. From the Back Cover 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Best modern book on turbulence.

⭐Excellent book as an introduction to turbulence

⭐I actually bought this book as suggested by a friend, and I found it to be interesting and well written. In my opinion, the author presents a nice overview of the aspects of turbulence theory which are closer to his own experience: in this sense the book is a sort of ‘autobiographic picture’ of turbulence, not a textbook. However I really appreciated it, probably because I share many of Frisch’s opinion, and was really enlightened by some of the historical (and philosophical) considerations. A must for the practitioner.

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Turbulence: The Legacy of A. N. Kolmogorov 1st Edition 1996 PDF Free Download
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