Theory and Computation of Hydrodynamic Stability

Theory and Computation of Hydrodynamic Stability

Author: W. O. Criminale

Publisher: Cambridge University Press

Published: 2003-10-23

Total Pages: 465

ISBN-13: 0521632005

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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.


Theory and Computation in Hydrodynamic Stability

Theory and Computation in Hydrodynamic Stability

Author: W. O. Criminale

Publisher: Cambridge University Press

Published: 2019

Total Pages: 565

ISBN-13: 1108475337

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


Theory and Computation of Hydrodynamic Stability

Theory and Computation of Hydrodynamic Stability

Author: W. O. Criminale

Publisher: Cambridge University Press

Published: 2010-07-06

Total Pages: 0

ISBN-13: 9780511550317

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This treatise covers classical and modern aspects of the fundamental topic of hydrodynamic stability. It considers linear and nonlinear situations, and analyzes temporal and spatial aspects. The authors examine each problem analytically and every chapter ends with an appendix outlining full direct numerical simulation computer code. The text is enriched with many exercises, illustrations and an extensive bibliography and can be used with courses on hydrodynamic stability or as an authoritative reference.


Theory and Computation in Hydrodynamic Stability

Theory and Computation in Hydrodynamic Stability

Author: W. O. Criminale

Publisher: Cambridge University Press

Published: 2018-12-06

Total Pages: 566

ISBN-13: 110869800X

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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.


Stability and Transition in Shear Flows

Stability and Transition in Shear Flows

Author: Peter J. Schmid

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 561

ISBN-13: 1461301858

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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.


Introduction to Hydrodynamic Stability

Introduction to Hydrodynamic Stability

Author: P. G. Drazin

Publisher: Cambridge University Press

Published: 2002-09-09

Total Pages: 278

ISBN-13: 1316582876

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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.


Bénard Cells and Taylor Vortices

Bénard Cells and Taylor Vortices

Author: E. L. Koschmieder

Publisher: Cambridge University Press

Published: 1993-02-26

Total Pages: 356

ISBN-13: 9780521402040

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This book describes the motions resulting from heating a fluid layer from below.


Unsteady Combustor Physics

Unsteady Combustor Physics

Author: Tim C. Lieuwen

Publisher: Cambridge University Press

Published: 2012-08-27

Total Pages: 427

ISBN-13: 1139576836

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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.


Hydrodynamic Instabilities

Hydrodynamic Instabilities

Author: François Charru

Publisher: Cambridge University Press

Published: 2011-06-30

Total Pages: 411

ISBN-13: 1139500546

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The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.


Introduction to Theoretical and Computational Fluid Dynamics

Introduction to Theoretical and Computational Fluid Dynamics

Author: Constantine Pozrikidis

Publisher: Oxford University Press

Published: 2011-11-17

Total Pages: 1274

ISBN-13: 0199752079

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This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces numerical methods for solving a broad range of problems. Appendices provide a wealth of information that establishes the necessary mathematical and computational framework.