Stability Problems in Parallel Flow

Stability Problems in Parallel Flow PDF Author: Herbert L. Willke
Publisher:
ISBN:
Category :
Languages : en
Pages : 156

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Stability of Parallel Flows

Stability of Parallel Flows PDF Author: R. Betchov
Publisher: Elsevier
ISBN: 0323162606
Category : Science
Languages : en
Pages : 345

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Book Description
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.

A Time-shared Program System for the Solution of the Stability Problem for Parallel Flow Over Rigid Or Flexible Surfaces

A Time-shared Program System for the Solution of the Stability Problem for Parallel Flow Over Rigid Or Flexible Surfaces PDF Author: MÃ¥rten Landahl
Publisher:
ISBN:
Category : Compatible time-sharing system (Electronic computers)
Languages : en
Pages : 39

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Stability and Transition in Shear Flows

Stability and Transition in Shear Flows PDF Author: Peter J. Schmid
Publisher: Springer Science & Business Media
ISBN: 1461301858
Category : Science
Languages : en
Pages : 561

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Book Description
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.

Stability of Fluid Motions I

Stability of Fluid Motions I PDF Author: D. D. Joseph
Publisher: Springer Science & Business Media
ISBN: 364280991X
Category : Science
Languages : en
Pages : 295

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Book Description
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.

Introduction to Hydrodynamic Stability

Introduction to Hydrodynamic Stability PDF Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 1316582876
Category : Science
Languages : en
Pages : 278

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Book Description
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.

A Time-shared Program System for the Solution of the Stability Problem for Parallel Flows Over Rigid Or Flexible Surfaces

A Time-shared Program System for the Solution of the Stability Problem for Parallel Flows Over Rigid Or Flexible Surfaces PDF Author: M. T. Landahl
Publisher:
ISBN:
Category :
Languages : en
Pages : 49

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Book Description
The report describes a system of programs, designed to be used on the MIT Compatible Time Sharing System (CTSS), for solving the Orr-Sommerfeld parallel-flow stability problem of incompressible flow in contact with a rigid or flexible surface. The programs can be combined, building-block fashion, to treat a large variety of cases. As examples are shown: (1) Blasius' boundary layer over a flexible membrane, (2) turbulent boundary layer over a free water surface, and (3) free shear layer. (Author).

Stability of Parallel Flows

Stability of Parallel Flows PDF Author: Robert Betchov
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 356

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Stability of the Parallel Flow of a Mixture

Stability of the Parallel Flow of a Mixture PDF Author: Alan Levine
Publisher:
ISBN:
Category :
Languages : en
Pages : 142

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Hydrodynamic Instability and Transition to Turbulence

Hydrodynamic Instability and Transition to Turbulence PDF Author: Akiva M. Yaglom
Publisher: Springer Science & Business Media
ISBN: 9400742371
Category : Technology & Engineering
Languages : en
Pages : 611

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Book Description
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.