Instabilities, Chaos and Turbulence

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Publisher : World Scientific
ISBN 13 : 1848163924
Total Pages : 456 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Instabilities, Chaos and Turbulence by : Paul Manneville

Download or read book Instabilities, Chaos and Turbulence written by Paul Manneville and published by World Scientific. This book was released on 2010 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

Turbulence and Instabilities in Magnetised Plasmas

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Publisher : Iop Plasma Physics
ISBN 13 : 9780750338530
Total Pages : 190 pages
Book Rating : 4.3/5 (385 download)

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Book Synopsis Turbulence and Instabilities in Magnetised Plasmas by : Bruce Scott

Download or read book Turbulence and Instabilities in Magnetised Plasmas written by Bruce Scott and published by Iop Plasma Physics. This book was released on 2021-11-18 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the first observations of turbulent fluctuations in laboratory plasma experiments in the years around 1980, turbulence in magnetised plasmas has been a subject of vigorous interest in the field of plasma physics and magnetic confinement. The second of a two-volume set, this book begins with a review of the concepts behind magnetised plasma turbulence as covered in Volume One. After covering the effects of temperature dynamics, especially heat flux inertia, the rest of the first half reviews classical field theory in the necessary language, then builds the gyrokinetic and gyrofluid theory in a systematic and self-consistent manner, with special emphasis on energetic consistency. Gyrofluid turbulence in various flavours in a magnetised plasma is then covered, with control cases and energetic analysis. Familiar magnetohydrodynamic instabilities are reproduced in gyrofluid language, and then turbulence in a flow layer, current channel, pressure layer, or all three, is covered. A reprise of the theory in terms of a gauge transform with functional Lie-Poisson bracket structure closes the volume. Key Features Written by a world-leading expert in magnetised plasma turbulence Fills a long-standing gap in the plasma physics literature First unified book on gyrokinetic and gyrofluid theory and turbulence Includes complete derivations of the fundamental concepts

Instabilities of Flows and Transition to Turbulence

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Publisher : CRC Press
ISBN 13 : 1439879443
Total Pages : 528 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Instabilities of Flows and Transition to Turbulence by : Tapan K. Sengupta

Download or read book Instabilities of Flows and Transition to Turbulence written by Tapan K. Sengupta and published by CRC Press. This book was released on 2012-04-24 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing classical material as well as new perspectives, Instabilities of Flows and Transition to Turbulence presents a concise, up-to-date treatment of theory and applications of viscous flow instability. It covers materials from classical instability to contemporary research areas including bluff body flow instability, mixed convection flows, and application areas of aerospace and other branches of engineering. Transforms and perturbation techniques are used to link linear instability with receptivity of flows, as developed by the author. The book: Provides complete coverage of transition concepts, including receptivity and flow instability Introduces linear receptivity using bi-lateral Fourier-Laplace transform techniques Presents natural laminar flow (NLF) airfoil analysis and design as a practical application of classical and bypass transition Distinguishes strictly between instability and receptivity, which leads to identification of wall- and free stream-modes Describes energy-based receptivity theory for the description of bypass transitions Instabilities of Flows and Transition to Turbulence has evolved into an account of the personal research interests of the author over the years. A conscious effort has been made to keep the treatment at an elementary level requiring rudimentary knowledge of calculus, the Fourier-Laplace transform, and complex analysis. The book is equally amenable to undergraduate students, as well as researchers in the field.

Instabilities and Turbulence in Engineering Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9401117438
Total Pages : 417 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Instabilities and Turbulence in Engineering Flows by : D. Ashpis

Download or read book Instabilities and Turbulence in Engineering Flows written by D. Ashpis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions by colleagues, former students and friends of Professor Eli Reshotko in celebration of his 60th birth day. Since Professor Reshotko's scientific and engineering contribu tions have been in the areas of hydrodynamic stability, transition to turbulence, and boundary layer flows, it is only appropriate that the articles in this volume be devoted to these and related topics. The first two sections focus on instabilities and transition in sub sonic and supersonic flows, respectively. The third section deals with developing turbulence, while the the final section treats related prob lems in engineering fluid mechanics. The diversity and scope of the articles contained herein exemplify the insight and expertise required in the study of transitional and turbulent flows today - traits which also exemplify Eli Reshotko's contributions to these fields. A few of the articles in this volume were presented at a sym posium in honor of Eli Reshotko's 60th birthday, held in Newport News, Virginia, on July 28, 1991. The symposium was sponsored by lCASE, and organized by M.Y. Hussaini (lCASE) and R. Hirsh (U.S. National Science Foundation). Of those who could not attend, many chose to honor Professor Reshotko by a contribution to the volume dedicated to him. We would like to use this opportunity to express our deep ap preciation to M.Y. Hussaini for initiating this very special tribute to Eli, and to Ms. Emily Todd for her efforts in the volume preparation and in the organization of the symposium.

Modeling in Fluid Mechanics

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Publisher : CRC Press
ISBN 13 : 1351029045
Total Pages : 534 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Modeling in Fluid Mechanics by : Igor Gaissinski

Download or read book Modeling in Fluid Mechanics written by Igor Gaissinski and published by CRC Press. This book was released on 2018-06-13 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to modeling in fluid mechanics and is divided into four chapters, which contain a significant number of useful exercises with solutions. The authors provide relatively complete references on relevant topics in the bibliography at the end of each chapter.

Hydrodynamic Instabilities and the Transition to Turbulence

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Author :
Publisher : Springer
ISBN 13 : 9783662309360
Total Pages : 306 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Hydrodynamic Instabilities and the Transition to Turbulence by : H.L. Swinney

Download or read book Hydrodynamic Instabilities and the Transition to Turbulence written by H.L. Swinney and published by Springer. This book was released on 2014-03-12 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Instability in Geophysical Flows

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Publisher : Cambridge University Press
ISBN 13 : 1108670512
Total Pages : 342 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Instability in Geophysical Flows by : William D. Smyth

Download or read book Instability in Geophysical Flows written by William D. Smyth and published by Cambridge University Press. This book was released on 2019-04-25 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities are present in all natural fluids from rivers to atmospheres. This book considers the physical processes that generate instability. Part I describes the normal mode instabilities most important in geophysical applications, including convection, shear instability and baroclinic instability. Classical analytical approaches are covered, while also emphasising numerical methods, mechanisms such as internal wave resonance, and simple `rules of thumb' that permit assessment of instability quickly and intuitively. Part II introduces the cutting edge: nonmodal instabilities, the relationship between instability and turbulence, self-organised criticality, and advanced numerical techniques. Featuring numerous exercises and projects, the book is ideal for advanced students and researchers wishing to understand flow instability and apply it to their own research. It can be used to teach courses in oceanography, atmospheric science, coastal engineering, applied mathematics and environmental science. Exercise solutions and MATLAB® examples are provided online. Also available as Open Access on Cambridge Core.

Hydrodynamic Instability and Transition to Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 9400742371
Total Pages : 611 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Hydrodynamic Instability and Transition to Turbulence by : Akiva M. Yaglom

Download or read book Hydrodynamic Instability and Transition to Turbulence written by Akiva M. Yaglom and published by Springer Science & Business Media. This book was released on 2012-12-18 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Transition to Turbulence

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Publisher : Cambridge University Press
ISBN 13 : 1108490417
Total Pages : 643 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Transition to Turbulence by : Tapan K. Sengupta

Download or read book Transition to Turbulence written by Tapan K. Sengupta and published by Cambridge University Press. This book was released on 2021-09-30 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Present understanding of transition to turbulence has now been studied over one hundred and fifty years. The path the studies have taken posed it as a modal eigenvalue problem. Some researchers have suggested alternative models without being specific. First-principle based approach of receptivity is the route to build bridges among ideas for solving the Navier-Stokes equation for specific canonical problems. This book highlights the mathematical physics, scientific computing, and new ideas and theories for nonlinear analyses of fluid flows, for which vorticity dynamics remain central. This book is a blend of classic with distinctly new ideas, which establish different dynamics of flows, from genesis to evolution of disturbance fields with rigorously developed methods to tracing coherent structures amidst the seemingly random and chaotic fluid dynamics of transitional and turbulent flows"--

Turbulence and Instabilities

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Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Turbulence and Instabilities by : O.M. Belotserkovskii

Download or read book Turbulence and Instabilities written by O.M. Belotserkovskii and published by . This book was released on 2000 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monograph presents the newest results in the numerical modeling and computer simulation of turbulence.

Low Frequency Waves and Turbulence in Magnetized Laboratory Plasmas and in the Ionosphere

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Publisher :
ISBN 13 : 9780750312530
Total Pages : 0 pages
Book Rating : 4.3/5 (125 download)

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Book Synopsis Low Frequency Waves and Turbulence in Magnetized Laboratory Plasmas and in the Ionosphere by : Hans Pécseli

Download or read book Low Frequency Waves and Turbulence in Magnetized Laboratory Plasmas and in the Ionosphere written by Hans Pécseli and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Low Frequency Waves and Turbulence in Magnetized Laboratory Plasmas and in the Ionosphere was developed from courses taught by the author at the universities of Oslo and Tromso in Norway. Suitable for undergraduates, graduate students and researchers, the first part of the book is devoted to discussing some relevant plasma instabilities and the free energy that drives them. In the second part, the more advanced topics of nonlinear models and the interactions of many modes are discussed. Theoretical tools available for turbulence modelling are also outlined. The book summarizes a number of studies of low-frequency plasma waves, drift waves in particular, from laboratory and space experiments."--Prové de l'editor.

Turbulence and Instabilities in Magnetised Plasmas

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Publisher :
ISBN 13 : 9780750325042
Total Pages : 0 pages
Book Rating : 4.3/5 (25 download)

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Book Synopsis Turbulence and Instabilities in Magnetised Plasmas by : Bruce D. Scott

Download or read book Turbulence and Instabilities in Magnetised Plasmas written by Bruce D. Scott and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the first observations of turbulent fluctuations in laboratory plasma experiments in the years around 1980, turbulence in magnetised plasmas has been a subject of vigorous interest in the field of plasma physics and magnetic confinement. The first of a two-volume set, this book begins with an overview of the essential nature of a plasma and a magnetised plasma, then turbulence and plasma turbulence are introduced conceptually and mathematically. There follows a theoretical interlude developing the concepts of fluid and plasma dynamics. After this, concepts of energetic consistency and nonlinear instability and mode structure are emphasised. The effects of magnetic shear and curvature, and open and closed magnetic field line flux surfaces, and finally the interaction with both background and self-generated flows, are covered. An interlude points to a second volume treating temperature gradients and fluctuations, gyrokinetic and gyrofluid theory, and the interplay with magnetohydrodynamic instabilities. Part of IOP Series in Plasma Physics.

Instability, Transition, and Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 1461229561
Total Pages : 626 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Instability, Transition, and Turbulence by : M.Y. Hussaini

Download or read book Instability, Transition, and Turbulence written by M.Y. Hussaini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on In stability, Transition and Turbulence, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center (LaRC), during July 8 to August 2, 1991. This is the second workshop in the series on the subject. The first was held in 1989, and its proceedings were published by Springer-Verlag under the title "Instability and Transition" edited by M. Y. Hussaini and R. G. Voigt. The objectives of these work shops are to i) expose the academic community to current technologically im portant issues of transition and turbulence in shear flows over the entire speed range, ii) acquaint the academic community with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these capabilities, and iii) accelerate progress in elucidating the fundamental phenomena of transition and turbulence, leading to improved transition and turbulence modeling in design methodologies. The research areas covered in these proceedings include receptiv ity and roughness, nonlinear theories of transition, numerical simu lation of spatially evolving flows, modelling of transitional and fully turbulent flows as well as some experiments on instability and tran sition. In addition a one-day mini-symposium was held to discuss 1 recent and planned experiments on turbulent flow over a backward facing step.

Dissipative Structures and Weak Turbulence

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Publisher : Academic Press
ISBN 13 : 008092445X
Total Pages : 505 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Dissipative Structures and Weak Turbulence by :

Download or read book Dissipative Structures and Weak Turbulence written by and published by Academic Press. This book was released on 2014-06-28 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Turbulence in Space Plasmas

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Publisher : Springer Science & Business Media
ISBN 13 : 3642002099
Total Pages : 332 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Turbulence in Space Plasmas by : Loukas Vlahos

Download or read book Turbulence in Space Plasmas written by Loukas Vlahos and published by Springer Science & Business Media. This book was released on 2009-06-16 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the years, many leading European graduate schools in the field of astrophysical and space plasmas have operated within the framework of the research network, "Theory, Observations, and Simulations in Turbulence in Space Plasmas." This text is a set of lectures and tutorial reviews culled from the relevant work of all those schools. It emphasizes applications on solar coronae, solar flares, and the solar wind. In bridging the gap between standard textbook material and state-of-the-art research, this text offers a broad flavor to postgraduate and postdoctoral students just coming to the field. And because of its unique mix, it will also be useful to lecturers looking for advanced teaching material for their seminars and courses.

Physics of Transitional Shear Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9400724985
Total Pages : 286 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Physics of Transitional Shear Flows by : Andrey V. Boiko

Download or read book Physics of Transitional Shear Flows written by Andrey V. Boiko and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from fundamentals of classical stability theory, an overview is given of the transition phenomena in subsonic, wall-bounded shear flows. At first, the consideration focuses on elementary small-amplitude velocity perturbations of laminar shear layers, i.e. instability waves, in the simplest canonical configurations of a plane channel flow and a flat-plate boundary layer. Then the linear stability problem is expanded to include the effects of pressure gradients, flow curvature, boundary-layer separation, wall compliance, etc. related to applications. Beyond the amplification of instability waves is the non-modal growth of local stationary and non-stationary shear flow perturbations which are discussed as well. The volume continues with the key aspect of the transition process, that is, receptivity of convectively unstable shear layers to external perturbations, summarizing main paths of the excitation of laminar flow disturbances. The remainder of the book addresses the instability phenomena found at late stages of transition. These include secondary instabilities and nonlinear features of boundary-layer perturbations that lead to the final breakdown to turbulence. Thus, the reader is provided with a step-by-step approach that covers the milestones and recent advances in the laminar-turbulent transition. Special aspects of instability and transition are discussed through the book and are intended for research scientists, while the main target of the book is the student in the fundamentals of fluid mechanics. Computational guides, recommended exercises, and PowerPoint multimedia notes based on results of real scientific experiments supplement the monograph. These are especially helpful for the neophyte to obtain a solid foundation in hydrodynamic stability. To access the supplementary material go to extras.springer.com and type in the ISBN for this volume.

From Instability to Intelligence

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Publisher : Springer Science & Business Media
ISBN 13 : 3540691219
Total Pages : 559 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis From Instability to Intelligence by : Michail Zak

Download or read book From Instability to Intelligence written by Michail Zak and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: So far as the laws of mathematics refer to reality, they are not certain. And so far as they are certain, they do not refer to reality. -A. Einstein The word "instability" in day-to-day language is associated with some thing going wrong or being abnormal: exponential growth of cancer cells, irrational behavior of a patient, collapse of a structure, etc. This book, however, is about "good" instabilities, which lead to change, evolution, progress, creativity, and intelligence; they explain the paradox of irreversi bility in thermodynamics, the phenomena of chaos and turbulence in clas sical mechanics, and non-deterministic (multi-choice) behavior in biological and social systems. The concept of instability is an attribute of dynamical models that de scribe change in time of physical parameters, biological or social events, etc. Each dynamical model has a certain sensitivity to small changes or "errors" in initial values of its variables. These errors may grow in time, and if such growth is of an exponential rate, the behavior of the variable is defined as unstable. However, the overall effect of an unstable variable upon the dynamical system is not necessarily destructive. Indeed, there al ways exists such a group of variables that do not contribute to the energy of the system. In mechanics such variables are called ignorable or cyclic.