The Kolmogorov-Obukhov Theory of Turbulence

The Kolmogorov-Obukhov Theory of Turbulence

Author: Bjorn Birnir

Publisher: Springer Science & Business Media

Published: 2013-01-31

Total Pages: 117

ISBN-13: 1461462622

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​​​​​​​Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development of the statistical theory of the Navier-Stokes equations describes turbulent flow has been an open problem. The Kolmogorov-Obukhov Theory of Turbulence develops a statistical theory of turbulence from the stochastic Navier-Stokes equation and the physical theory, that was proposed by Kolmogorov and Obukhov in 1941. The statistical theory of turbulence shows that the noise in developed turbulence is a general form which can be used to present a mathematical model for the stochastic Navier-Stokes equation. The statistical theory of the stochastic Navier-Stokes equation is developed in a pedagogical manner and shown to imply the Kolmogorov-Obukhov statistical theory. This book looks at a new mathematical theory in turbulence which may lead to many new developments in vorticity and Lagrangian turbulence. But even more importantly it may produce a systematic way of improving direct Navier-Stokes simulations and lead to a major jump in the technology both preventing and utilizing turbulence.


An Introduction to the Theory of Plasma Turbulence

An Introduction to the Theory of Plasma Turbulence

Author: V. N. Tsytovich

Publisher: Elsevier

Published: 2016-07-29

Total Pages: 144

ISBN-13: 1483139921

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An Introduction to the Theory of Plasma Turbulence is a collection of lectures given by the author at Culham laboratory. The book deals with developments on the theory of plasma turbulence. The author describes plasma properties in the turbulent regions as mostly non-linear in nature, and notes that these properties can be regarded as a universal spectrum independent of any type of instability. The text then discusses the general problems of the theory of plasma turbulence. The author also shows that elementary excitation of ""dressed"" particles have a finite lifetime associated with non-linear interactions. The book then discusses the excitation of ion-sound turbulence using different processes, for example, shock waves; the text also analyzes the kind of non-linear interactions present in such energy transfer. The author also explains the Langmuir plasma oscillations — a typical collective plasma motion that can be excited using different types of mechanism such as an electron beam. The book then describes the electromagnetic properties of turbulent plasma and relates the state of turbulent plasma as a natural occurrence in the universe. The book notes the problem of cosmic rays, not as an energy transfer to faster particles, but as an energy distribution between particles. The text will prove valuable for nuclear physicists, scientists, and academicians in the field of quantum mechanics.


Theories of Turbulence

Theories of Turbulence

Author: Martin Oberlack

Publisher: Springer

Published: 2014-05-04

Total Pages: 377

ISBN-13: 3709125642

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The term "turbulence” is used for a large variety of dynamical phenomena of fluids in motion whenever the details of the flow appear to be random and average properties are of primary interest. Just as wide ranging are the theoretical methods that have been applied towards a better understanding of fluid turbulence. In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed. Statistical as well as nonstatistical treatments are presented, but a complete coverage of the subject is not attempted. The book will be of interest to scientists and engineers who wish to familiarize themselves with modern developments in theories of turbulence. The fact that the properties of turbulent fluid flow are addressed from very different points of view makes this volume rather unique among presently available books on turbulence.


Advanced Approaches in Turbulence

Advanced Approaches in Turbulence

Author: Paul Durbin

Publisher: Elsevier

Published: 2021-07-24

Total Pages: 554

ISBN-13: 0128208902

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Advanced Approaches in Turbulence: Theory, Modeling, Simulation and Data Analysis for Turbulent Flows focuses on the updated theory, simulation and data analysis of turbulence dealing mainly with turbulence modeling instead of the physics of turbulence. Beginning with the basics of turbulence, the book discusses closure modeling, direct simulation, large eddy simulation and hybrid simulation. The book also covers the entire spectrum of turbulence models for both single-phase and multi-phase flows, as well as turbulence in compressible flow. Turbulence modeling is very extensive and continuously updated with new achievements and improvements of the models. Modern advances in computer speed offer the potential for elaborate numerical analysis of turbulent fluid flow while advances in instrumentation are creating large amounts of data. This book covers these topics in great detail. - Covers the fundamentals of turbulence updated with recent developments - Focuses on hybrid methods such as DES and wall-modeled LES - Gives an updated treatment of numerical simulation and data analysis


The Structure of Turbulent Shear Flow

The Structure of Turbulent Shear Flow

Author: A. A. R. Townsend

Publisher: Cambridge University Press

Published: 1976

Total Pages: 450

ISBN-13: 9780521298193

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Develops a physical theory from the mass of experimental results, with revisions to reflect advances of recent years.


Turbulence

Turbulence

Author: Uriel Frisch

Publisher: Cambridge University Press

Published: 1995-11-30

Total Pages: 318

ISBN-13: 1139935976

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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. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.


The Theory of Turbulence

The Theory of Turbulence

Author: Edward A. Spiegel

Publisher: Springer Science & Business Media

Published: 2010-10-28

Total Pages: 119

ISBN-13: 9400701160

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In January 1937, Nobel laureate in Physics Subrahmanyan Chandrasekhar was recruited to the University of Chicago. He was to remain there for his entire career, becoming Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics in 1952 and attaining emeritus status in 1985. This is where his then student Ed Spiegel met him during the summer of 1954, attended his lectures on turbulence and jotted down the notes in hand. His lectures had a twofold purpose: they not only provided a very elementary introduction to some aspects of the subject for novices, they also allowed Chandra to organize his thoughts in preparation to formulating his attack on the statistical problem of homogeneous turbulence. After each lecture Ed Spiegel transcribed the notes and filled in the details of the derivations that Chandrasekhar had not included, trying to preserve the spirit of his presentation and even adding some of his side remarks. The lectures were rather impromptu and the notes as presented here are as they were set down originally in 1954. Now they are being made generally available for Chandrasekhar’s centennial.


Theory of Turbulent Plasma

Theory of Turbulent Plasma

Author: V. N. Tsytovich

Publisher: Springer

Published: 2012-12-27

Total Pages: 535

ISBN-13: 9781468479256

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In the last few years the physics of turbulent plasma has undergone rapid development, beginning with the first works, in which the term "turbulence" was used in various ways, and ending with the fundamental studies which provide a thorough examina tion of the turbulent state of plasma. In physics it is usually found that value is not so much contained in specific results for a partic ular field as it is in the more general outlook and overall view of the problem. Occasionally the older results take on new mean ing after the general view of things is perfected. In the case of the physics of turbulent plasma, this general picture is now com plete, for the most part. The first review devoted to the problem of plasma turbulence was written by B. B. Kadomtsev [in "Problems in Plasma Theory," edited by M. A. Leontovich, Volume 4, Moscow, Atomizdat (1964), p. 188; English Translation: "Plasma Turbulence," Academic Press, London (1965)].


Worlds of Flow

Worlds of Flow

Author: Olivier Darrigol

Publisher: Oxford University Press

Published: 2005-09

Total Pages: 372

ISBN-13: 0198568436

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This book provides the first fully-fledged history of hydrodynamics, including lively accounts of the concrete problems of hydraulics, navigation, blood circulation, meteorology, and aeronautics that motivated the main conceptual innovations. Richly illustrated, technically competent, and philosophically sensitive, it should attract a broad audience and become a standard reference for any one interested in fluid mechanics.