Hydrodynamic Stability Theory
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Hydrodynamic Stability Theory
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Author : A. Georgescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Hydrodynamic Stability Theory written by A. Georgescu 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 2013-04-17 with Mathematics categories.
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.
Theory And Computation Of Hydrodynamic Stability
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Author : W. O. Criminale
language : en
Publisher: Cambridge University Press
Release Date : 2003-10-23
Theory And Computation Of 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 2003-10-23 with Mathematics categories.
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.
Fluid Dynamics
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Author : Anatoly Ruban
language : en
Publisher: Oxford University Press
Release Date : 2023-07-03
Fluid Dynamics written by Anatoly Ruban and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-03 with categories.
This is the fourth volume in a four-part series on fluid dynamics: Part 1. Classical Fluid Dynamics Part 2. Asymptotic Problems of Fluid Dynamics Part 3. Boundary Layers Part 4. Hydrodynamic Stability Theory The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. Part 4 is devoted to hydrodynamic stability theory which aims at predicting the conditions under which the laminar state of a flow turns into a turbulent state. The phenomenon of laminar-turbulent transition remains one of the main challenges of modern physics. The resolution of this problem is important not only from a theoretical viewpoint but also for practical applications. For instance, in the flow past a passenger aircraft wing, the laminar-turbulent transition causes a fivefold increase in the viscous drag. The book starts with the classical results of the theory which include the global stability analysis followed by the derivation of the Orr-Sommerfeld equation. The properties of this equation are discussed using, as examples, plane Poiseuille flow and the Blasius boundary layer. In addition, we discuss 'inviscid flow' instability governed by the Rayleigh equation, Kelvin-Helmholtz instability, crossflow instability, and centrifugal instability, taking the form of Taylor-Görtler vortices. However, in this presentation our main attention regards recent developments in the theory. These include linear and nonlinear critical layer theory, the theory of receptivity of the boundary layer to external perturbations, weakly nonlinear stability theory of Landau and Stuart, and vortex-wave interaction theory. The latter allows us to describe self-sustaining nonlinear perturbations within a viscous fluid.
The Theory Of Hydrodynamic Stability
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Author : Chia-Chʻiao Lin
language : en
Publisher:
Release Date : 1966
The Theory Of Hydrodynamic Stability written by Chia-Chʻiao Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Hydrodynamics categories.
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.
Theory And Computation In Hydrodynamic Stability
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Author : W. O. Criminale
language : en
Publisher: Cambridge University Press
Release Date : 2018-12-06
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 2018-12-06 with Mathematics categories.
Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.
The Theory Of Hydrodynamic Stability
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Author : Chia Ch'iao Lin
language : en
Publisher:
Release Date : 1955
The Theory Of Hydrodynamic Stability written by Chia Ch'iao Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Hydrodynamics categories.
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.
The Theory Of Hydrodynamic Stability
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Author : C. C Lin
language : en
Publisher:
Release Date : 1964
The Theory Of Hydrodynamic Stability written by C. C Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Hydrodynamics categories.
Theory And Computation In Hydrodynamic Stability
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Author : W. O. Criminale
language : en
Publisher: Cambridge University Press
Release Date : 2018-12-06
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 2018-12-06 with Science categories.
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 to the most complex, considering linear and nonlinear situations, and analyzing temporal and spatial stability. The authors examine each problem both analytically and numerically. Many 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. The text includes copious illustrations and an extensive bibliography, making it suitable for courses on hydrodynamic stability or as an authoritative reference for researchers. In this second edition the opportunity has been taken to update the text and, most importantly, provide solutions to the numerous extended exercises.