Hydrodynamics And Nonlinear Instabilities
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Hydrodynamics And Nonlinear Instabilities
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Author : C. Godrèche
language : en
Publisher:
Release Date : 1998
Hydrodynamics And Nonlinear Instabilities written by C. Godrèche and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
This book presents five sets of lectures by internationally respected researchers on nonlinear instabilities and the transition to turbulence in hydrodynamics. The book begins with a general introduction to hydrodynamics covering fluid properties, flow measurement, dimensional analysis, and turbulence. Chapter Two reviews the special characteristics of instabilities in open flows. Chapter Three presents mathematical tools for multiscale analysis and asymptotic matching applied to the dynamics of fronts and localized nonlinear states. Chapter Four gives a detailed review of pattern forming instabilities. The final chapter provides a detailed and comprehensive introduction to the instability of flames, shocks and detonations. Together, these lectures provide a thought-provoking overview of current work in this important area for researchers in condensed matter physics and applied mathematics.
Hydrodynamic Instabilities
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Author : François Charru
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-30
Hydrodynamic Instabilities written by François Charru and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-30 with Science categories.
The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.
Introduction To Hydrodynamic Stability
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Author : P. G. Drazin
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-09
Introduction To Hydrodynamic Stability written by P. G. Drazin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-09 with Science categories.
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.
Non Linear Instabilities In Plasmas And Hydrodynamics
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Author : V.N Oraevsky
language : en
Publisher: Routledge
Release Date : 2017-11-22
Non Linear Instabilities In Plasmas And Hydrodynamics written by V.N Oraevsky and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Science categories.
For the first time in a single book, Non-Linear Instabilities in Plasmas and Hydrodynamics presents the underlying physics of fast secondary instabilities. This exceptionally well-written, introductory book discusses the basic ideas of the physics of secondary or induced, nonlinear instabilities in wave-sustaining media. The authors, world-renowned experts in the field, have brought together the results of papers scattered throughout the literature to explain subjects as diverse as fluctuation chaos, wave-turbulent instabilities, vortex dynamos, beam-plasma interactions, plasma confinement, and the origins of typhoons in the Earth's atmosphere and magnetic fields in galaxies. Paving the way for new and exciting research in the future, this broad, interdisciplinary book enables a wide range of physicists to apply the concepts discussed to obtain new results in plasma physics, space physics, hydrodynamics, and geophysics.
Hydrodynamic Instability And Transition To Turbulence
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Author : Akiva M. Yaglom
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-18
Hydrodynamic Instability And Transition To Turbulence written by Akiva M. Yaglom and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-18 with Technology & Engineering categories.
This book is a complete revision of the part of Monin & Yaglom's famous two-volume work "Statistical Fluid Mechanics: Mechanics of Turbulence" that deals with the theory of laminar-flow instability and transition to turbulence. It includes the considerable advances in the subject that have been made in the last 15 years or so. It is intended as a textbook for advanced graduate courses and as a reference for research students and professional research workers. The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. Chapters 4 and 5 deal with instability to finite-amplitude disturbances: much of the material has previously been available only in research papers.
Principles Of Advanced Mathematical Physics
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Author : R.D. Richtmyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Principles Of Advanced Mathematical Physics written by R.D. Richtmyer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Theory And Computation In Hydrodynamic Stability
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Author : W. O. Criminale
language : en
Publisher: Cambridge University Press
Release Date : 2019
Theory And Computation In Hydrodynamic Stability written by W. O. Criminale and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.
Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.
Nonlinear Dynamics And Pattern Formation In The Natural Environment
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Author : A Doelman
language : en
Publisher: Taylor & Francis
Release Date : 2022-09-16
Nonlinear Dynamics And Pattern Formation In The Natural Environment written by A Doelman and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-16 with Mathematics categories.
This Research Note aims to provide an insight into recent developments in the theory of pattern formation. In the last decade there has been considerable progress in this field, both from a theoretical and a practical point of view. Recent mathematical developments concern the study of the nonlinear stability of systems at near-critical conditions by an appropriate system of modulation equations. The complexity of the original problem can be reduced drastically by this approximation. Moreover, it provides unifying point of view for a wide range of problems. New applications of the theory arise in a multitude of scientific areas such as hydrodynamics, reaction-diffusion problems, oceanography, meteorology, combustion, geophysical and biological morphodynamics and semi-conductors.This book is intended to show the interactions between the mathematical theory of nonlinear dynamics and the study of pattern generating phenomena in the natural environment. There is an intimate relationship between new insights in the mathematical aspects of nonlinear pattern formation and the comprehension of such phenomena. Therefore there are two partly overlapping main themes: one in which the emphasis is on generally applicable mathematical theories and techniques and one in which the phenomenology of pattern evolution in various areas is discussed.The book comprises 19 contributions by experts in the field. Although the emphasis changes considerably from paper to paper, in each contribution the same two themes are present; all the authors have aimed to achieve a suitable balance between the mathematical theory and the physical phenomena.
Nonlinear Magnetohydrodynamics
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Author : D. Biskamp
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-17
Nonlinear Magnetohydrodynamics written by D. Biskamp and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-17 with Mathematics categories.
A self-contained introduction to magnetohydrodynamics with emphasis on nonlinear processes.
Hydrodynamic Stability
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Author : P. G. Drazin
language : en
Publisher: Cambridge University Press
Release Date : 2004-08-05
Hydrodynamic Stability written by P. G. Drazin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-05 with Mathematics categories.
Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems not only provide exercises for students but also provide many additional results in a concise form. This new edition of this celebrated introduction differs principally by the inclusion of detailed solutions for those exercises, and by the addition of a Foreword by Professor J. W. Miles.