Flow Stability in the Presence of Finite Initial Disturbances

Flow Stability in the Presence of Finite Initial Disturbances PDF Author: P. Bradshaw
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 37

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Book Description
Descriptions of some theoretical and experimental studies of the behaviour of finite amplitude disturbances in viscous flow are presented. An analysis is developed for disturbances (1) which are oscillatory and grow with streamwise distance between parallel planes until a possible equilibrium state is reached, or (2) which depart from an unstable equilibrium state of finite amplitude with streamwise distance; these two possibilities correspond to disturbances under supercritical and subcritical conditions respectively, and in both the solution is a perturbation from linearized theory. An experiment is described by which it is proposed to check the above theory. Some details are also given of results of a parallel experiment on finite disturbances in flow in a straight pipe in which the growth of artificially introduced disturbances and the generation of harmonics is described qualitatively, and limited support is found for some of the theoretical concepts. Breaking patterns similar to those found by Klebanoff and Tidstrom in a boundary layer are shown to be horseshoe vortices. (Author).

Flow Stability in the Presence of Finite Initial Disturbances

Flow Stability in the Presence of Finite Initial Disturbances PDF Author: P. Bradshaw
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 37

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Book Description
Descriptions of some theoretical and experimental studies of the behaviour of finite amplitude disturbances in viscous flow are presented. An analysis is developed for disturbances (1) which are oscillatory and grow with streamwise distance between parallel planes until a possible equilibrium state is reached, or (2) which depart from an unstable equilibrium state of finite amplitude with streamwise distance; these two possibilities correspond to disturbances under supercritical and subcritical conditions respectively, and in both the solution is a perturbation from linearized theory. An experiment is described by which it is proposed to check the above theory. Some details are also given of results of a parallel experiment on finite disturbances in flow in a straight pipe in which the growth of artificially introduced disturbances and the generation of harmonics is described qualitatively, and limited support is found for some of the theoretical concepts. Breaking patterns similar to those found by Klebanoff and Tidstrom in a boundary layer are shown to be horseshoe vortices. (Author).

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.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 592

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Book Description


Advances in Aeronautical Sciences

Advances in Aeronautical Sciences PDF Author: Th. Von Kármán
Publisher: Elsevier
ISBN: 1483164837
Category : Technology & Engineering
Languages : en
Pages : 621

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Book Description
Advances in Aeronautical Sciences, Volume 3 contains the proceedings of the Second International Congress in the Aeronautical Sciences held in Zurich, Switzerland, on September 12-16, 1960. The papers explore advances in aeronautical sciences and cover topics ranging from the role of entropy in the aerospace sciences to the theory of hypersonic flow over blunt-nosed slender bodies. The effect of boundary layer transition at the leading edge of thin wings on general nose separation is also discussed, along with the aerodynamics of aircraft shapes for flight at supersonic speeds. This book is comprised of 28 chapters and begins with a review of the importance of entropy in the aerospace sciences, citing the work of Nicolaus Sadi Carnot and Rudolf Clausius as well as enthalpy and free enthalpy. The link between entropy and molecular theory is also described before turning to the physics of jet streams and the aerodynamics of jet flaps. Other chapters consider a wide range of problems both of theoretical and practical importance, including the flow around a circular cylinder; the theory of boundary layer; the physics of transition from laminar to turbulent flow; and the theory and experimental knowledge of transonic, supersonic, and hypersonic flows. Due attention is given to the re-entry of missiles and space vehicles into the atmosphere; problems of trajectories; guidance of space vehicles; and power generation in space. The economic and technical aspects of air transportation are also highlighted. This volume will be of interest to scientists and engineers in aeronautics and astronautics.

Technical Abstract Bulletin

Technical Abstract Bulletin PDF Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Technology
Languages : en
Pages : 464

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Book Description


Theory and Computation in Hydrodynamic Stability

Theory and Computation in Hydrodynamic Stability PDF Author: W. O. Criminale
Publisher: Cambridge University Press
ISBN: 1108475337
Category : Mathematics
Languages : en
Pages : 565

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Book Description
Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.

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.

Unsteady Combustor Physics

Unsteady Combustor Physics PDF Author: Tim C. Lieuwen
Publisher: Cambridge University Press
ISBN: 1139576836
Category : Technology & Engineering
Languages : en
Pages : 427

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Book Description
Developing clean, sustainable energy systems is a pre-eminent issue of our time. Most projections indicate that combustion-based energy conversion systems will continue to be the predominant approach for the majority of our energy usage. Unsteady combustor issues present the key challenge associated with the development of clean, high-efficiency combustion systems such as those used for power generation, heating or propulsion applications. This comprehensive study is unique, treating the subject in a systematic manner. Although this book focuses on unsteady combusting flows, it places particular emphasis on the system dynamics that occur at the intersection of the combustion, fluid mechanics and acoustic disciplines. Individuals with a background in fluid mechanics and combustion will find this book to be an incomparable study that synthesises these fields into a coherent understanding of the intrinsically unsteady processes in combustors.

U.S. Government Research & Development Reports

U.S. Government Research & Development Reports PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 212

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Book Description


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.