The Theory of Homogeneous Turbulence

The Theory of Homogeneous Turbulence PDF Author: G. K. Batchelor
Publisher: Cambridge University Press
ISBN: 9780521041171
Category : Mathematics
Languages : en
Pages : 216

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Book Description
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.

The Theory of Homogeneous Turbulence

The Theory of Homogeneous Turbulence PDF Author: G. K. Batchelor
Publisher: Cambridge University Press
ISBN: 9780521041171
Category : Mathematics
Languages : en
Pages : 216

Get Book

Book Description
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.

Homogeneous Turbulence Dynamics

Homogeneous Turbulence Dynamics PDF Author: Pierre Sagaut
Publisher: Springer
ISBN: 3319731629
Category : Science
Languages : en
Pages : 897

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Book Description
This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.

The Theory of Homogeneous Turbulence

The Theory of Homogeneous Turbulence PDF Author: G. K. Batchelor
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


The theory of homogeneous turbulence

The theory of homogeneous turbulence PDF Author: George K. Batcheler
Publisher:
ISBN:
Category :
Languages : en
Pages : 1982

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Book Description


The theory of homogeneous turbulence

The theory of homogeneous turbulence PDF Author: G. K. Batchelor
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Navier-Stokes Turbulence

Navier-Stokes Turbulence PDF Author: Wolfgang Kollmann
Publisher: Springer Nature
ISBN: 3030318699
Category : Science
Languages : en
Pages : 744

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Book Description
The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists of two parts. The first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition.

Numerical Experiments in Homogeneous Turbulence

Numerical Experiments in Homogeneous Turbulence PDF Author: Robert Sugden Rogallo
Publisher:
ISBN:
Category : Turbulence
Languages : en
Pages : 98

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Book Description


The Theory of Turbulence

The Theory of Turbulence PDF Author: Edward A. Spiegel
Publisher: Springer Science & Business Media
ISBN: 9400701160
Category : Science
Languages : en
Pages : 119

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Book Description
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.

Turbulence in Rotating, Stratified and Electrically Conducting Fluids

Turbulence in Rotating, Stratified and Electrically Conducting Fluids PDF Author: P. A. Davidson
Publisher: Cambridge University Press
ISBN: 1107434343
Category : Science
Languages : en
Pages : 701

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Book Description
There are two recurring themes in astrophysical and geophysical fluid mechanics: waves and turbulence. This book investigates how turbulence responds to rotation, stratification or magnetic fields, identifying common themes, where they exist, as well as the essential differences which inevitably arise between different classes of flow. The discussion is developed from first principles, making the book suitable for graduate students as well as professional researchers. The author focuses first on the fundamentals and then progresses to such topics as the atmospheric boundary layer, turbulence in the upper atmosphere, turbulence in the core of the earth, zonal winds in the giant planets, turbulence within the interior of the sun, the solar wind, and turbulent flows in accretion discs. The book will appeal to engineers, geophysicists, astrophysicists and applied mathematicians who are interested in naturally occurring turbulent flows.

The Structure of Turbulent Shear Flow

The Structure of Turbulent Shear Flow PDF Author: A. A. R. Townsend
Publisher: Cambridge University Press
ISBN: 9780521298193
Category : Mathematics
Languages : en
Pages : 450

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