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On The Hydrodynamic Stability Of Some Spatially Periodic Flows
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Book Synopsis ON THE HYDRODYNAMIC STABILITY OF SOME SPATIALLY PERIODIC FLOWS. by : THOMAS JOSEPH EISLER
Download or read book ON THE HYDRODYNAMIC STABILITY OF SOME SPATIALLY PERIODIC FLOWS. written by THOMAS JOSEPH EISLER and published by . This book was released on 1961 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability of the incompressible, boundary-free, parallel flow whose velocity profile is the cosine is considered. A two-dimensional cellular flow is also considered. The method of small perturbations is used to linearize the equations of motion about the basic flow. The boundary condition imposed is that the perturbation shall be bounded in space. The time dependence of the perturbation, assumed exponential, is chosen so that stability depends on the imaginary part of a parameter, c, which is considered to be the eigenvalue. Other parameters of interest are the Reynolds number, R, and, for the parallel flow, the wave number of the perturbation, alpha. Formulating the eigenvalue equation as the vanishing of an infinite determinant aids in calculating the neutral curve near the critical Reynolds number. The curve intersects the R axis at Rc. For large values of R it approaches alpha = 1 asymptotically. The eigenvalue spectrum consists of an infinity of bands, separated by small gaps, lying along the imaginary axis of the c plane. (Author).
Book Synopsis Introduction to Hydrodynamic Stability by : P. G. Drazin
Download or read book Introduction to Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2002-09-09 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Stability of Spatially Periodic Supercritical Flows in Hydrodynamics by : Stanley Kogelman
Download or read book Stability of Spatially Periodic Supercritical Flows in Hydrodynamics written by Stanley Kogelman and published by . This book was released on 1968 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hydrodynamic stability theory by : A. Georgescu
Download or read book Hydrodynamic stability theory written by A. Georgescu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
Book Synopsis Stability of Time Dependent and Spatially Varying Flows by : D.L. Dwoyer
Download or read book Stability of Time Dependent and Spatially Varying Flows written by D.L. Dwoyer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the collection of papers presented at the workshop on 'The Stability of Spatially Varying and Time Dependent Flows" sponsored by the Institute for Computer Applications in Science and Engineering (lCASE) and NASA Langley Research Center (LaRC) during August 19- 23, 1985. The purpose of this workshop was to bring together some of the experts in the field for an exchange of ideas to update the current status of knowledge and to help identify trends for future research. Among the invited speakers were D.M. Bushnell, M. Goldstein, P. Hall, Th. Herbert, R.E. Kelly, L. Mack, A.H. Nayfeh, F.T. Smith, and C. von Kerczek. The contributed papers were by A. Bayliss, R. Bodonyi, S. Cowley, C. Grosch, S. Lekoudis, P. Monkewitz, A. Patera, and C. Streett. In the first article, Bushnell provides a historical background on laminar flow control (LFC) research and summarizes the crucial role played by stability theory in LFC system design. He also identifies problem areas in stability theory requiring further research from the view-point of ap plications to LFC design. It is an excellent article for theoreticians looking for some down-to-earth applications of stability theory.
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 Hydrodynamic Stability by : P. G. Drazin
Download or read book Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 1981-02-27 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. This book begins with a basic introduction to three major areas of the subject: thermal convection, rotating and curved flows, and parallel shear flows. There follows a comprehensive account of recent advances in the mathematical theory for parallel shear flows. A number of applications of the linear theory are discussed, including the effects of stratification and unsteadiness. The book concludes with a chapter describing some of the fundamental ideas involved in current work on nonlinear hydrodynamic stability. The emphasis throughout is on the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, the theory is related to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems, for which hints and references are given, not only provide exercises for students but also provide many additional results in a concise form.
Book Synopsis Regents' Proceedings by : University of Michigan. Board of Regents
Download or read book Regents' Proceedings written by University of Michigan. Board of Regents and published by . This book was released on 1960 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Scale Techniques for Studying the Evolution of Spatially Periodic and Aperiodic Disturbances in Nonlinear Hydrodynamic Stability by : Thomas K. Pratt
Download or read book Multiple Scale Techniques for Studying the Evolution of Spatially Periodic and Aperiodic Disturbances in Nonlinear Hydrodynamic Stability written by Thomas K. Pratt and published by . This book was released on 1973 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Modeling And Simulation In Hydrodynamic Stability by : Daniel N Riahi
Download or read book Mathematical Modeling And Simulation In Hydrodynamic Stability written by Daniel N Riahi and published by World Scientific. This book was released on 1996-02-29 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamic stability is of fundamental importance in the mechanics of fluids and is mainly concerned with the problem of the transition to turbulence. This book is devoted to publication of original research papers, research-expository and survey articles with an emphasis on unsolved problems and open questions in the mathematical modeling and computational aspects of hydrodynamic stability. Review chapters on the mathematical modeling and numerical simulation aspects of hydrodynamic stability, the physical background, and the limitations of the modeling and simulation procedures, due to particular mathematical or computational methods used, are included. This book will be appropriate for use in research and in research-related courses on the subject. It includes chapters on bifurcations in fluid systems, flow patterns, channel flows, non-parallel shear flows, thin-film flows, strong viscous shear flows, Gortler vortices, bifurcations in convection, wavy film flows and boundary layers.
Book Synopsis The Theory of Hydrodynamic Stability by : Chia-Chʻiao Lin
Download or read book The Theory of Hydrodynamic Stability written by Chia-Chʻiao Lin and published by . This book was released on 1966 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Board of Regents by : University of Michigan. Board of Regents
Download or read book Proceedings of the Board of Regents written by University of Michigan. Board of Regents and published by . This book was released on 1960 with total page 1440 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 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.
Book Synopsis Commencement Programs by : University of Michigan
Download or read book Commencement Programs written by University of Michigan and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Computation of Hydrodynamic Stability by : W. O. Criminale
Download or read book Theory and Computation of Hydrodynamic Stability written by W. O. Criminale and published by Cambridge University Press. This book was released on 2003-10-23 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing chapter by chapter to the most complex, considering linear and nonlinear situations, and analysing temporal and spatial stability. The authors examine each problem both analytically and numerically: many chapters end with an appendix outlining relevant numerical techniques. All relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. As a result, the early transient period as well as the asymptotic fate for perturbations for a flow can be assessed. The text is enriched with many exercises, copious illustrations and an extensive bibliography and the result is a book that can be used with courses on hydrodynamic stability or as an authoritative reference for researchers.
