The discovery of coherent structures in turbulence has fostered the hope that the study of vortices will lead to models and an understanding of turbulent flow, thereby solving or at least making less mysterious one of the great unresolved problems of classical physics. Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. The emphasis in this monograph is on the classical theory of inviscid incompressible fluids containing finite regions of vorticity. The effects of viscosity, compressiblity, inhomogeneity, and stratification are enormously important in many fields of application, from hypersonic flight to global environmental fluid mechanics. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary. This book will be of interest to students of fluid mechanics, turbulence, and vortex methods as well as to applied mathematicians and engineers.
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"...a major contribution to the literature of physical and mathematical vortex dynamics." Science
"...I recommend it as a graduate text for students with a basic understanding of fluid dynamics, a good background in vector analysis, and some knowledge of complex variable theory....Saffman provides important physical and mathematical frameworks to help us visualize, quantify, and understand the emerging nonlinear, intermittent, and turbulent computational results of large-scale direct numerical simulations....a major contribution to the literature of physical and mathematical vortex dynamics." Norman J. Zabusky, Science
"...extremely well written and it is clear on every page that the topics treated have been carefully thought through, both at the research level and in terms of presentation to advanced students....a contribution to the literature of fluid mechanics of the first rank and is sure to become a storehouse of knowledge and an indispensable guide to researchers and students alike for a long time to come." H. Aref, Applied Mechanics Review
"...I recommend it as a graduate text for students with a basic understanding of fluid dynamics, a good background in vector analysis, and some knowledge of complex variable theory....Saffman provides important physical and mathematical frameworks to help us visualize, quantify, and understand the emerging nonlinear, intermittent, and turbulent computational results of large-scale direct numerical simulations....a major contribution to the literature of physical and mathematical vortex dynamics." Norman J. Zabusky, Science
"...extremely well written and it is clear on every page that the topics treated have been carefully thought through, both at the research level and in terms of presentation to advanced students....a contribution to the literature of fluid mechanics of the first rank and is sure to become a storehouse of knowledge and an indispensable guide to researchers and students alike for a long time to come." H. Aref, Applied Mechanics Review
Book Description
Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.
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1 of 1 people found the following review helpful:
5.0 out of 5 stars
Indispensable,
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This review is from: Vortex Dynamics (Cambridge Monographs on Mechanics) (Paperback)
C'est LE livre indispensable dans ce domaine, je suis très contente de l'avoir enfin trouvé, il n'est plus édité en France ! ^^
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Vortex Dynamics,
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This review is from: Vortex Dynamics (Cambridge Monographs on Mechanics) (Paperback)
This book is full of interesting and valuable information about Vortices and for a very good price.
1 of 2 people found the following review helpful:
2.0 out of 5 stars
Disappointing,
By Charly "Charly" (USA) - See all my reviews
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This review is from: Vortex Dynamics (Cambridge Monographs on Mechanics) (Paperback)
Some maths are incomplete making it hard to go through. Especially, the author likes to state the obvious and not give details on some more interesting maths. Next, I was expecting much from the chapters "viscosity effects" and "vortex rings"...
No nice experimental pictures, just some sketches. Book is not too expensive, that's the only positive thing I can think about...
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First Sentence:
The motion of a fluid is described by a vector field u(x,t). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hydrodynamic impulse, sheet vortex lines, rectilinear line vortex, vortex jump, virtual mass tensor, cored rings, uniform vortices, hollow vortices, vortex sheet dynamics, bound vorticity, image vorticity, subharmonic disturbances, vortex patches, external velocity field, straining field, virtual momentum, steady vortex rings, perturbed vortex, vortex column, most unstable disturbance, induction approximation, vortex force, angular impulse, line vortices, spherical vortex Key Phrases - Capitalized Phrases (CAPs): (learn more)
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The motion of a fluid is described by a vector field u(x,t). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hydrodynamic impulse, sheet vortex lines, rectilinear line vortex, vortex jump, virtual mass tensor, cored rings, uniform vortices, hollow vortices, vortex sheet dynamics, bound vorticity, image vorticity, subharmonic disturbances, vortex patches, external velocity field, straining field, virtual momentum, steady vortex rings, perturbed vortex, vortex column, most unstable disturbance, induction approximation, vortex force, angular impulse, line vortices, spherical vortex Key Phrases - Capitalized Phrases (CAPs): (learn more)
Birkhoff Rott New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
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books
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- An Introduction to the Geometry and Topology of Fluid Flows (NATO Science Series II: Mathematics, Physics and Chemistry) by Renzo L. Ricca on page 165, and page 228
- Strömungsmechanik A-Z: Eine systematische Einordnung von Begriffen und Konzepten der Strömungsmechanik (Vieweg Praxiswissen) (German Edition) by Heinz Herwig on page 81, and page 428
- Instabilities and Nonequilibrium Structures IX (Nonlinear Phenomena and Complex Systems) by Orazio Descalzi on page 279, and page 386
- Introduction to Symmetry Analysis (Cambridge Texts in Applied Mathematics) by Brian J. Cantwell on page 365, and page 396
- The N-Vortex Problem by Paul K. Newton in Front Matter, and Back Matter
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