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Vorticity and Turbulence

2013-12-01 Mathematics
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Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 282/5 ( reviews)

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Book Synopsis Vorticity and Turbulence by : Alexandre J. Chorin

Download or read book Vorticity and Turbulence written by Alexandre J. Chorin. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.

Vorticity and Turbulence

1994-06-24 Mathematics
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Release : 1994-06-24
Genre : Mathematics
Kind : eBook
Book Rating : 974/5 ( reviews)

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Book Synopsis Vorticity and Turbulence by : Alexandre J. Chorin

Download or read book Vorticity and Turbulence written by Alexandre J. Chorin. This book was released on 1994-06-24. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to turbulence in vortex systems, and to turbulence theory for incompressible flow described in terms of the vorticity field. It is the author's hope that by the end of the book the reader will believe that these subjects are identical, and constitute a special case of fairly standard statistical mechanics, with both equilibrium and non-equilibrium aspects. The author's main goal is to relate turbulence to statistical mechanics. The book is organized as follows: the first three chapters constitute a fairly standard introduction to homogeneous turbulence in incompressible flow; a quick review of fluid mechanics; a summary of the appropriate Fourier theory; a summary of Kolmogorov's theory of the inertial range. The next four chapters present the statistical theory of vortex notion, and the vortex dynamics of turbulence. The book ends with the major conclusion that turbulence can no longer be viewed as incomprehensible. This book will be appropriate for professionals in the fields of applied mathematics, mechanical engineering, or physics, as well as graduate students in these noted areas.

Vorticity and Vortex Dynamics

2007-04-20 Technology & Engineering
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Release : 2007-04-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 281/5 ( reviews)

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Book Synopsis Vorticity and Vortex Dynamics by : Jie-Zhi Wu

Download or read book Vorticity and Vortex Dynamics written by Jie-Zhi Wu. This book was released on 2007-04-20. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.

Vorticity and Turbulence

1998 Fluid mechanics
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Release : 1998
Genre : Fluid mechanics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Vorticity and Turbulence by : Alexandre Joel Chorin

Download or read book Vorticity and Turbulence written by Alexandre Joel Chorin. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Quantized Vortex Dynamics and Superfluid Turbulence

2008-01-11 Technology & Engineering
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Release : 2008-01-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 426/5 ( reviews)

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Book Synopsis Quantized Vortex Dynamics and Superfluid Turbulence by : C.F. Barenghi

Download or read book Quantized Vortex Dynamics and Superfluid Turbulence written by C.F. Barenghi. This book was released on 2008-01-11. Available in PDF, EPUB and Kindle. Book excerpt: This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.

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