Stability And Transition In Shear Flows

Author : Peter J. Schmid,Dan S. Henningson
Publisher : Springer Science & Business Media
Page : 561 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461301851

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Stability and Transition in Shear Flows by Peter J. Schmid,Dan S. Henningson Pdf

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.

Author : Andrey V. Boiko,Alexander V. Dovgal,Genrih R. Grek,Victor V. Kozlov
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 44,7 Mb
Release : 2011-09-15
Category : Science
ISBN : 9789400724983

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Physics of Transitional Shear Flows by Andrey V. Boiko,Alexander V. Dovgal,Genrih R. Grek,Victor V. Kozlov Pdf

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.

Author : Rameshkumar Bhoraniya,Gayathri Swaminathan,Vinod Narayanan
Publisher : Springer Nature
Page : 232 pages
File Size : 52,6 Mb
Release : 2023-03-10
Category : Science
ISBN : 9789811995743

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Global Stability Analysis of Shear Flows by Rameshkumar Bhoraniya,Gayathri Swaminathan,Vinod Narayanan Pdf

This book presents the fundamentals and advanced research on the global stability analysis of the shear flows. The contents investigate the results of global stability analysis for different configurations of internal and external shear flows. The topics covered are global stability analysis of converging-diverging channel flows, axisymmetric boundary layer developed on a circular cylinder, cone and inclined flat-plate boundary layer, and wall jets. It further explains the effect of divergence, convergence, transverse curvature, and pressure gradients on the global stability of the different configurations of shear flows. The book is a valuable reference for beginners, researchers, and professionals working in the field of aerodynamics and marine hydrodynamics.

Author : P. G. Drazin
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,5 Mb
Release : 2002-09-09
Category : Science
ISBN : 9781316582879

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Introduction to Hydrodynamic Stability by P. G. Drazin Pdf

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.

Author : Akiva M. Yaglom
Publisher : Springer Science & Business Media
Page : 611 pages
File Size : 43,9 Mb
Release : 2012-12-18
Category : Technology & Engineering
ISBN : 9789400742376

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Hydrodynamic Instability and Transition to Turbulence by Akiva M. Yaglom Pdf

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.

Author : M.Y. Hussaini,A. Kumar,C.L. Streett
Publisher : Springer Science & Business Media
Page : 626 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461229568

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Instability, Transition, and Turbulence by M.Y. Hussaini,A. Kumar,C.L. Streett Pdf

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.

Author : Yohann Duguet
Publisher : MDPI
Page : 180 pages
File Size : 45,9 Mb
Release : 2021-08-31
Category : Social Science
ISBN : 9783036509426

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Intermittency in Transitional Shear Flows by Yohann Duguet Pdf

This book contains original peer-reviewed articles written by some of the most prominent international physicists active in the field of hydrodynamics. The topic is entirely devoted to the study of the transitional regimes of incompressible viscous flow found at the onset of turbulent flows. Nine articles written for this 2020 Special Issue of the journal Entropy (MDPI) have been gathered at the crossroads of fluid mechanics, statistical physics, complexity theory, and applied mathematics. They include experimental, analytic, and computational material of an academic level that has not been published anywhere else.

Author : W. O. Criminale,T. L. Jackson,R. D. Joslin
Publisher : Cambridge University Press
Page : 465 pages
File Size : 49,5 Mb
Release : 2003-10-23
Category : Mathematics
ISBN : 9780521632003

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Theory and Computation of Hydrodynamic Stability by W. O. Criminale,T. L. Jackson,R. D. Joslin Pdf

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.

Author : Baochun Fan,Gang Dong
Publisher : John Wiley & Sons
Page : 397 pages
File Size : 55,6 Mb
Release : 2022-05-17
Category : Science
ISBN : 9781118718018

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Principles of Turbulence Control by Baochun Fan,Gang Dong Pdf

This book introduces the mathematical techniques for turbulence control in a form suitable for inclusion in an engineering degree program at both undergraduate and postgraduate levels whilst also making it useful to researchers and industrial users of the concepts. It uses a mix of theory, computation and experimental results to present and illustrate the methodologies. It is based on the three part structure, wall turbulence, open loop control and feedback control with emphasis on optimal control methodologies. The book also includes an introduction of basic principles and fundamentals followed by a chapter on the structure of wall turbulence with emphasis on coherent structures. Elsewhere there is focus on control methods of wall turbulence by manipulating the boundaries though their motion and by applying control forces throughout the flow volume. The last two chapters will describe the linear and non-linear optimal controls. This integrated approach will help not only researchers interested in the topic but also graduate or advanced undergraduate students in their course work.

Author : Abhijit P. Deshpande,J. Murali Krishnan,Sunil Kumar
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 47,6 Mb
Release : 2010-09-20
Category : Technology & Engineering
ISBN : 9781441964946

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Rheology of Complex Fluids by Abhijit P. Deshpande,J. Murali Krishnan,Sunil Kumar Pdf

The aim of the School on Rheology of Complex fluids is to bring together young researchers and teachers from educational and R&D institutions, and expose them to the basic concepts and research techniques used in the study of rheological behavior of complex fluids. The lectures will be delivered by well-recognized experts. The book contents will be based on the lecture notes of the school.

Author : P. G. Drazin,W. H. Reid
Publisher : Cambridge University Press
Page : 630 pages
File Size : 42,5 Mb
Release : 2004-08-05
Category : Mathematics
ISBN : 0521525411

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Hydrodynamic Stability by P. G. Drazin,W. H. Reid Pdf

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.

Author : R. Betchov
Publisher : Elsevier
Page : 344 pages
File Size : 40,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323162609

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Stability of Parallel Flows by R. Betchov Pdf

Stability of Parallel Flows provides information pertinent to hydrodynamical stability. This book explores the stability problems that occur in various fields, including electronics, mechanics, oceanography, administration, economics, as well as naval and aeronautical engineering. Organized into two parts encompassing 10 chapters, this book starts with an overview of the general equations of a two-dimensional incompressible flow. This text then explores the stability of a laminar boundary layer and presents the equation of the inviscid approximation. Other chapters present the general equations governing an incompressible three-dimensional flow, which requires the massive use of a computer. This book discusses as well the experimental studies on the oscillations of the boundary layer wherein the mean flow is affected by the presence of oscillations. The final chapter describes the concept of the stability of turbulent flows found in boundary layers, wakes, and jets. This book is a valuable resource for physicists, mathematicians, engineers, scientists, and researchers.

Author : William D. Smyth,Jeffrey R. Carpenter
Publisher : Cambridge University Press
Page : 342 pages
File Size : 54,5 Mb
Release : 2019-04-25
Category : Science
ISBN : 9781108670517

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Instability in Geophysical Flows by William D. Smyth,Jeffrey R. Carpenter Pdf

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.

Author : Hua-Shu Dou
Publisher : Springer Nature
Page : 503 pages
File Size : 48,6 Mb
Release : 2022-03-25
Category : Technology & Engineering
ISBN : 9789811900877

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Origin of Turbulence by Hua-Shu Dou Pdf

This book presents the new discovery of the origin of turbulence from Navier–Stokes equations. The fully developed turbulence is found to be composed of singularities of flow field. The mechanisms of flow stability and turbulent transition are described using the energy gradient theory, which states all the flow instability and breakdown resulted from the gradient of the total mechanical energy normal to the flow direction. This approach is universal for flow instability in Newtonian flow and non-Newtonian flow. The theory has been used to solve several problems, such as plane and pipe Poiseuille flows, plane Couette flow, Taylor–Couette flow, flows in straight coaxial annulus, flows in curved pipes and ducts, thermal convection flow, viscoelastic flow, and magnet fluid flow, etc. The theory is in agreement with results from numerical simulations and experiments. The analytical method used in this book is novel and is different from the traditional approaches. This book includes the fundamental basics of flow stability and turbulent transition, the essentials of the energy gradient theory, and the applications of the theory to several practical problems. This book is suitable for researchers and graduate students.

Author : Tobias Kreilos
Publisher : Unknown
Page : 0 pages
File Size : 50,6 Mb
Release : 2014
Category : Electronic
ISBN : OCLC:882092491

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Turbulence Transition in Shear Flows and Dynamical Systems Theory by Tobias Kreilos Pdf