A Deterministic Approach to Turbulence: Chaos in Rayleigh-Benard Convection

A Deterministic Approach to Turbulence: Chaos in Rayleigh-Benard Convection PDF Author: P. Berge
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
Rayleigh-Benard convection is one of the simplest instabilities. It is related to the case of a horizontal layer of a thermally expansive fluid which is confined above and below by rigid plates of good thermal conductivity, submitted to purely vertical adverse thermal gradient (adverse means 'heated from below'). Topics include: Basic concepts about dissipative dynamical systems; Towards deterministic turbulence or chaos; and Some experimental illustrations.

A Deterministic Approach to Turbulence: Chaos in Rayleigh-Benard Convection

A Deterministic Approach to Turbulence: Chaos in Rayleigh-Benard Convection PDF Author: P. Berge
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
Rayleigh-Benard convection is one of the simplest instabilities. It is related to the case of a horizontal layer of a thermally expansive fluid which is confined above and below by rigid plates of good thermal conductivity, submitted to purely vertical adverse thermal gradient (adverse means 'heated from below'). Topics include: Basic concepts about dissipative dynamical systems; Towards deterministic turbulence or chaos; and Some experimental illustrations.

Order Within Chaos

Order Within Chaos PDF Author: Pierre Berge
Publisher: Wiley-VCH
ISBN:
Category : Science
Languages : en
Pages : 358

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Book Description
Presented at a relatively elementary level, this introduction to the study of dissipative dynamical systems is addressed to an audience which is scientifically cultivated but not specialized in this discipline. Encompasses the analysis of all time-dependent phenomena, treating the major types of behavior or of evolution without direct reference to the material aspects. Focuses on physics and chemistry and avoids mathematical treatment. In a panorama which is coherent and accessible, it describes concretely the important dynamical phenomena and the way in which they appear in experimental reality. Covers basic vocabulary and regular periodic behavior, and goes on to apply them in analytical methods.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 312

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Book Description


Bibliography on Chaos

Bibliography on Chaos PDF Author: Shu-yu Zhang
Publisher: World Scientific
ISBN: 9789810205812
Category : Science
Languages : en
Pages : 536

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Book Description
This volume is a collection of more than 7000 full titles of books and papers related to chaotic behaviour in nonlinear dynamics. Emphasis has been made on recent publications, but many publications which appeared before 1980 are also included. Many titles have been checked with the authors. The scope of the Bibliography is not restricted to physics and mathematics of chaos only. Applications of chaotic dynamics to other branches of natural and social sciences are also considered. Works related to chaotic dynamics, e.g., papers on turbulence dynamical systems theory and fractal geometry, are listed at the discretion of the author or the compiler. This Bibliography is expected to be an important reference book for libraries and individual researchers.

Technical Reports Awareness Circular : TRAC.

Technical Reports Awareness Circular : TRAC. PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 516

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Mechanics in the Earth and Environmental Sciences

Mechanics in the Earth and Environmental Sciences PDF Author: Gerard V. Middleton
Publisher: Cambridge University Press
ISBN: 9780521446693
Category : Science
Languages : en
Pages : 480

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Book Description
The study of the Earth and the environment requires an understanding of the physical processes within and at the surface of the Earth. This book will allow the student to develop a broad working knowledge of mechanics and its application to the earth and environmental sciences. The mathematics are introduced at a level that assumes only an understanding of first-year calculus. The concepts are then developed to allow an understanding of the basic physics for a wide range of natural processes. These are illustrated by examples from many real situations, such as the application of the theory of flow through porous media to the study of groundwater, the viscosity of fluids to the flow of lava, and the theory of stress to the study of faults. The breadth of topics will allow students and professionals to gain an insight into the workings of many aspects of the Earth's systems.

New Perspectives in Turbulence

New Perspectives in Turbulence PDF Author: L. Sirovich
Publisher:
ISBN:
Category : Turbulence
Languages : en
Pages : 392

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Book Description


The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

The Foundations of Chaos Revisited: From Poincaré to Recent Advancements PDF Author: Christos Skiadas
Publisher: Springer
ISBN: 3319297015
Category : Science
Languages : en
Pages : 268

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Book Description
With contributions from a number of pioneering researchers in the field, this collection is aimed not only at researchers and scientists in nonlinear dynamics but also at a broader audience interested in understanding and exploring how modern chaos theory has developed since the days of Poincaré. This book was motivated by and is an outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute in Paris, which provided a perfect opportunity to gain inspiration and discuss new perspectives on the history, development and modern aspects of chaos theory. Henri Poincaré is remembered as a great mind in mathematics, physics and astronomy. His works, well beyond their rigorous mathematical and analytical style, are known for their deep insights into science and research in general, and the philosophy of science in particular. The Poincaré conjecture (only proved in 2006) along with his work on the three-body problem are considered to be the foundation of modern chaos theory.

Dissipative Structures and Weak Turbulence

Dissipative Structures and Weak Turbulence PDF Author:
Publisher: Academic Press
ISBN: 008092445X
Category : Science
Languages : en
Pages : 505

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Book Description
Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Government Reports Annual Index

Government Reports Annual Index PDF Author:
Publisher:
ISBN:
Category : Government reports announcements & index
Languages : en
Pages : 1672

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Book Description