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Linear And Nonlinear Stability Of Unsteady Circular Couette Flow
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Book Synopsis Ordered and Turbulent Patterns in Taylor-Couette Flow by : C. David Andereck
Download or read book Ordered and Turbulent Patterns in Taylor-Couette Flow written by C. David Andereck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seldom does a physical system, particularly one as apparently simple as the flow of a Newtonian fluid between concentric rotating cylinders, retain the interest of scientists, applied mathematicians and engineers for very long. Yet, as this volume goes to press it has been nearly 70 years since G. I. Taylor's outstanding experimental and theoretical study of the linear stability of this flow was published, and a century since the first experiments were performed on rotating cylinder viscometers. Since then, the study of this system has progressed enormously, but new features of the flow patterns are still being uncovered. Interesting variations on the basic system abound. Connections with open flows are being made. More complex fluids are used in some experiments. The vigor of the research going on in this particular example of nonequilibrium systems was very apparent at the NATO Advanced Research Workshop on "Ordered and Turbulent Patterns in Taylor Couette Flow," held in Columbus, Ohio, USA May 22-24, 1991. A primary goal of this ARW was to bring together those interested in pattern formation in the classic Taylor Couette problem with those looking at variations on the basic system and with those interested in related systems, in order to better define the interesting areas for the future, the open questions, and the features common (and not common) to closed and open systems. This volume contains many of the contributions presented during the workshop.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frontiers of Fluid Mechanics by : Shen Yuan
Download or read book Frontiers of Fluid Mechanics written by Shen Yuan and published by Elsevier. This book was released on 2013-10-22 with total page 1288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers of Fluid Mechanics documents the proceedings of the Beijing International Conference on Fluid Mechanics, held in Beijing, People's Republic of China, 1-4 July 1987. The aims of the conference were to provide a forum for a cross-sectional review of the state-of-the-art and new advances in various branches of fluid mechanics, and to promote the exchange of ideas by experts from different parts of the world. The contributions made by researchers at the conference are organized into 18 parts. Part 1 presents invited lectures covering topics such as separated flow, porous flow, and turbulence modeling. Part 2 contains papers dealing with turbulence. Parts 3, 4, and 5 include studies on flow stability and transition, transonic flow, and boundary layer flows and shock waves, respectively. Part 6 is devoted to aerodynamics and gas dynamics. Part 7 examines water waves while Part 8 is devoted to hydrodynamics and hydraulics. The papers in Part 9 examine bubbles and drops. Part 10 deals with experiments involving vortices, jets, wakes, and cavities. Part 11 contains studies on geophysical and astrophysical fluid mechanics. Parts 12 and 13 investigate two-phase flow and flow through porous media, and non-Newtonian flow, respectively. Part 14 takes up magneto-hydrodynamics and physic-chemical flow. Part 15 covers biofluid mechanics. Part 16 contains papers on industrial and environmental fluid mechanics while Part 17 deals with heat transfer. Part 18 contains papers that were received after the conference.
Book Synopsis Stability and Transition in Shear Flows by : Peter J. Schmid
Download or read book Stability and Transition in Shear Flows written by Peter J. Schmid and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.
Book Synopsis The Couette-Taylor Problem by : Pascal Chossat
Download or read book The Couette-Taylor Problem written by Pascal Chossat and published by Springer. This book was released on 1994-03-11 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 A paradigm About one hundred years ago, Maurice Couette, a French physicist, de signed an apparatus consisting of two coaxial cylinders, the space between the cylinders being filled with a viscous fluid and the outer cylinder being rotated at angular velocity O2. The purpose of this experiment was, follow ing an idea of the Austrian physicist Max Margules, to deduce the viscosity of the fluid from measurements of the torque exerted by the fluid on the inner cylinder (the fluid is assumed to adhere to the walls of the cylinders). At least when O is not too large, the fluid flow is nearly laminar and 2 the method of Couette is valuable because the torque is then proportional to 110 , where II is the kinematic viscosity of the fluid. If, however, O is 2 2 increased to a very large value, the flow becomes eventually turbulent. A few years later, Arnulph Mallock designed a similar apparatus but allowed the inner cylinder to rotate with angular velocity 01, while O2 = o. The surprise was that the laminar flow, now known as the Couette flow, was not observable when 0 exceeded a certain "low" critical value Ole, even 1 though, as we shall see in Chapter II, it is a solution of the model equations for any values of 0 and O .
Author :Radyadour Kh. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :9783540440130 Total Pages :512 pages Book Rating :4.4/5 (41 download)
Book Synopsis Theory and Applications of Viscous Fluid Flows by : Radyadour Kh. Zeytounian
Download or read book Theory and Applications of Viscous Fluid Flows written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2003-08-25 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.
Book Synopsis Stability of Fluid Motions I by : D. D. Joseph
Download or read book Stability of Fluid Motions I written by D. D. Joseph and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown"whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1974 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Vorticity and Vortex Dynamics by : Jie-Zhi Wu
Download or read book Vorticity and Vortex Dynamics written by Jie-Zhi Wu and published by Springer Science & Business Media. This book was released on 2007-04-20 with total page 776 pages. 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.
Download or read book Research in Progress written by and published by . This book was released on 1973 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Oscillations by : Nicolai Minorsky
Download or read book Nonlinear Oscillations written by Nicolai Minorsky and published by . This book was released on 1974 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1998 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Physical Processes in Circumstellar Disks Around Young Stars by : Paulo J. V. Garcia
Download or read book Physical Processes in Circumstellar Disks Around Young Stars written by Paulo J. V. Garcia and published by University of Chicago Press. This book was released on 2011-05-15 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Circumstellar disks are vast expanses of dust that form around new stars in the earliest stages of their birth. Predicted by astronomers as early as the eighteenth century, they weren’t observed until the late twentieth century, when interstellar imaging technology enabled us to see nascent stars hundreds of light years away. Since then, circumstellar disks have become an area of intense study among astrophysicists, largely because they are thought to be the forerunners of planetary systems like our own—the possible birthplaces of planets. This volume brings together a team of leading experts to distill the most up-to-date knowledge of circumstellar disks into a clear introductory volume. Understanding circumstellar disks requires a broad range of scientific knowledge, including chemical processes, the properties of dust and gases, hydrodynamics and magnetohydrodynamics, radiation transfer, and stellar evolution—all of which are covered in this comprehensive work, which will be indispensable for graduate students, seasoned researchers, or even advanced undergrads setting out on the study of planetary evolution.
Book Synopsis Nonlinear Analysis by : Themistocles M Rassias
Download or read book Nonlinear Analysis written by Themistocles M Rassias and published by World Scientific. This book was released on 1988-01-01 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Fixed Point Theory and Nonlinear Problems (Th Rassias)Global Linearization Iterative Methods and Nonlinear Partial Differential Equations III (M Altman)On Generalized Power Series and Generalized Operational Calculus and Its Application (M Al-Bassam)Multiple Solutions to Parametrized Nonlinear Differential Systems from Nielsen Fixed Point Theory (R Brown)The topology of Ind-Affine Sets (P Cherenack)Almost Approximately Polynomial Functions (P Cholewa)Cohomology Classes and Foliated Manifolds (M Craioveanu & M Puta)Bifurcation and Nonlinear Instability in Applied Mathematics (L Debnath)The Stability of Weakly Additive Functional (H Drljevic)Index Theory for G-Bundle Pairs with Applications to Borsuk-Ulam Type Theorems for G-Sphere Bundles (E Fadell & S Husseini)Nonlinear Approximation and Moment Problem (J S Hwang & G D Lin)Periods in Equicontinuous Topological Dynamical Systems (A Iwanik et al.)Continuation Theorems for Semi-Linear Equations in Banach Spaces: A Survey (J Mawhin & K Rybakowski)On Contractifiable Self-Mappings (P Meyers)Normal Structures and Nonexpansive Mappings in Banach Spaces (J Nelson et al.): Survey on Uniqueness and Classification Theorems for Minimal Surfaces (Th Rassias)Contractive Definitions (B Rhoades)On KY Fan's Theorem and Its Applications (S Singh)Fixed Points of Amenable Semigroups of Differentiable Operators (P Soardi)Research Problems on Nonlinear Equations (Th Rassias) Readership: Mathematicians and applied scientists. Keywords:Nonlinear Analysis;Nonlinear Partial Differential Equations III;Polynomial Functions;Cohomology Classes;Foliated Manifolds;Topological Dynamical Systems;Minimal Surfaces;Differentiable Operators;Nonlinear Equations
Book Synopsis A Weakly Nonlinear Theory for Wave-vortex Interactions in Curved Channel Flow by : Bart A. Singer
Download or read book A Weakly Nonlinear Theory for Wave-vortex Interactions in Curved Channel Flow written by Bart A. Singer and published by . This book was released on 1992 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Mathematics Applied to Fluid Mechanics and Stability by : Donald A. Drew
Download or read book Mathematics Applied to Fluid Mechanics and Stability written by Donald A. Drew and published by SIAM. This book was released on 1986-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
