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vendredi 28 mars 2014

Vorticity and Incompressible Flow

Fluid mechanics


Vorticity and Incompressible Flow

by: Andrew J. Majda , Andrea L. Bertozzi



Book Description

November 26, 2001 0521639484 978-0521639484 1
This comprehensive introduction to the mathematical theory of vorticity and incompressible flow begins with the elementary introductory material and leads into current research topics. While the book centers on mathematical theory, many parts also showcase the interaction among rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

Editorial Reviews

Review

"This book is destined to become a classic...This is the standard to which the rest of us need to aspire." Journal of Fluid Mechanics

"There are about 11 books currently available on the market covering incompressible flows. Majda and Bertozzi's book is unique in covering both the classical and weak solutions for the incompressible and inviscid flows and is excellently done." Mathematical Reviews

Book Description

This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

Product Details

  • Series: Cambridge Texts in Applied Mathematics (Book 27)
  • Paperback: 560 pages
  • Publisher: Cambridge University Press; 1 edition (November 26, 2001)
  • Language: English
  • ISBN-10: 0521639484
  • ISBN-13: 978-0521639484
  • 2,68 MB , pdf
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Simplified Models for Turbulent Diffusion: Theory, Numerical Modelling, and Physical Phenomena

by: Andrew J. Majda , Peter R. Kramer

 

Product Details

  • Paperback: 337 pages
  • Publisher: North-Holland (1999)
  • Language: English
  • ASIN: B007WV1PJ0
  • 2,75 MB , pdf
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Vortex Structure and Dynamics

by: Agnes Maurel , Philippe Petitjeans

Book Description

October 4, 2013 3662143046 978-3662143049 Softcover reprint of the original 1st ed. 2000
The object of this book is to present the state of the art and to summarize the most recent advances in the structure and dynamics of vortices. This subject has indeed recently made some remarkable progress, particularly thanks to studies of turbulence, where coherent structures have been shown to play an important role. The book presents four general reviews on the experimental, numerical, theoretical, and 2D-vortex aspects. In addition to these reviews, a series of articles describe a cross-section of recent work. Some of these studies are concerned with related fields, such as turbulence, aerodynamics, wakes, geophysics, mixing, and particle dynamics.

Editorial Reviews

From the Back Cover

The object of this book is to present the state of the art and to summarize the most recent advances in the structure and dynamics of vortices. This subject has indeed recently made some remarkable progress, particularly thanks to stu- dies of turbulence, where coherent structures have been shown to play an important role. The book presents four ge- neral reviews on the experimental, numerical, theoretical, and 2D-vortex aspects. In addition to these reviews, a se- ries of articles describe a cross-section of recent work. Some of these studies are concerned with related fields, such as turbulence, aerodynamics, wakes, geophysics, mixing, and particle dynamics.

Product Details

  • Series: Lecture Notes in Physics (Book 555)
  • Paperback: 319 pages
  • Publisher: Springer; Softcover reprint of the original 1st ed. 2000 edition (October 4, 2013)
  • Language: English
  • ISBN-10: 3662143046
  • ISBN-13: 978-3662143049
  • 3,21 MB , djvu
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Developments in the Theory of Turbulence

by: D.C. Leslie

 

Product Details

  • Hardcover: 388 pages
  • Publisher: Oxford University Press (December 27, 1973)
  • Language: English
  • ISBN-10: 0198563183
  • ISBN-13: 978-0198563181
  • 4,78 MB , djvu
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Topological Aspects of the Dynamics of Fluids and Plasmas

by: H.K. Moffatt , G.M. Zaslavsky , P. Comte , M. Tabor

 

Book Description

August 31, 1992 0792319001 978-0792319009 1992
The intimate relationship between three-dimensional vortex dynamics and topology was recognized as early as 1869 by Lord Kelvin, whose discoveries in fluid dynamics led to the development of knot theory as a well-defined branch of topology. It is only in the last 25 years, however, with the parallel stimulus of the development of magnetohydrodynamics in astrophysical and geophysical contexts, that the great potential of topological techniques in fluid and plasma has been fully recognized.
This volume provides a comprehensive survey of this interdisciplinary field. The relevant background in knot theory, flow kinematics, dynamo theory, and relaxation under topological constraints, is provided by the introductory chapters of Part I. These themes are developed in the subsequent papers which are grouped under the following headings: Part II: Relaxation and Minimum Energy States; Part III: Helicity, Linkage, and Flow Topology; Part IV: The Euler Equations: Extremal Properties and Finite-Time Singularities; Part V: Vortex Interactions and the Structure of Turbulence; Part VI: Chaos, Instability, and Dynamo Theory.

Product Details

  • Series: Nato Science Series E: (closed) (Book 218)
  • Hardcover: 606 pages
  • Publisher: Springer; 1992 edition (August 31, 1992)
  • Language: English
  • ISBN-10: 0792319001
  • ISBN-13: 978-0792319009
  • 4,92 MB , djvu
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The Physics of Fluid Turbulence

by: W. D. McComb

 

Book Description

March 19, 1992 019856256X 978-0198562566
This book provides an in-depth look at fluid turbulence: the archetypal non-linear, non-equilibrium problem of statistical physics which has witnessed significant progress in recent years, facilitated by advances in laser anemometry, computer technology, and theoretical methods from quantum physics. A fully integrated work, The Physics of Fluid Turbulence approaches its subject as a universal phenomenon with a universal behavior. It includes a concise summary of the theory and practice of turbulence science up to 1960, followed by a detailed analysis of more recent developments in this area, including a rigorous formulation of the turbulence problem as an example of a non-equilibrium statistical system with strong coupling, along with the application of renormalized perturbation theory. Designed for those new to the subject, the book will also be useful to those who are familiar with the study of turbulence but have not yet approached the subject utilizing the theoretical methods from quantum physics that are covered here.

Editorial Reviews

Review


"This book will become a classic text for turbulence modeling. It is clear, comprehensive, and balanced" --SIAM Review

"Quite accessible, thorough and complete." --Science

"An impressive collection of different results both experimental and theoretical, which makes this book a good source for both the beginner and the expert." -- Mathematical Reviews

About the Author

W. D. McComb is at University of Edinburgh.

Product Details

  • Series: Oxford Engineering Science (Book 25)
  • Paperback: 602 pages
  • Publisher: Oxford University Press, USA (March 19, 1992)
  • Language: English
  • ISBN-10: 019856256X
  • ISBN-13: 978-0198562566
  • 5,10 MB , djvu
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Foundations of Radiation Hydrodynamics

by: Dimitri Mihalas , Barbara Weibel Mihalas

 

Largely self contained, this expert three-part treatment focuses on the dynamics of nonradiating fluids; explores the physics of radiation, radiation transport, and the dynamics of radiating fluids; and offers a brief appendix that explains the use of tensor concepts in equations related to the transition of ordinary fluids to relativistic fluids to radiation. 1984 edition.

Product Details

  • Series: Dover Books on Physics
  • Paperback: 736 pages
  • Publisher: Dover Publications (July 7, 1999)
  • Language: English
  • ISBN-10: 0486409252
  • ISBN-13: 978-0486409252
  • 7,38 MB , djvu
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The Acoustic Bubble

by: T. G. Leighton

 

This volume deals with the interaction of acoustic fields with bubbles in liquids. The principles of cavitation (generation of bubbles in liquids by rapid changes as those introduced by ultrasound) are expounded. When cavity bubbles implode they produce shock waves in the liquid. Components can be damaged by cavitation if it is induced by turbulent flow. These phenomena have important implications, particularly in underwater acoustics (the fastest growing field in acoustics research). Later chapters concentrate on cavitation due to ultrasound. This interdisciplinary research should be of interest to those engaged in research from sonochemistry to the sensitization of explosives. The physical processes involved are explained both by analogy and formulation. In this way, the concepts should be accessible to those of lesser mathematical ability.

Editorial Reviews

Review

"One can only effevesce with praise upon perusing The Acoustic Bubble, by T.G. Leighton. Here is a volume that is both comprehensive and readable--that informs the expert and the novice...The reader is well served by the author's careful attention to detail, his extensive table of symbols (14 pages!), his excellent use of photographs and graphics, an extraordinarily comprehensive bibliography, and, most of all, by his lucid physical descriptions of phenomena not only having to do with bubbles but also with a variety of physical systems that are related to foundations of the sciences that one must understand if one is to apply them to the bubble problem...The Acoustic Bubble is not only interesting reading, it is an extraordinarily useful reference for those working in or planning to work in the field...There's no trouble with this Bubble." --Journal of the Acoustic Society of America "The strength of this book lies in its effortless and enjoyable coverage of a wide swathe of rather intimidating literature and its unified mathematical approach...undoubtedly a major contribution to the field by an accomplished teacher, scientist and enthusiast." --Physics in Medicine and Biology "There is no doubt that this is the most comprehensive and accessible text on acoustic cavitation available...This is a required reference for scientists and, in particular, medical physicists interested in becoming aquainted with the mathematical description of bubble dynamics and the wealth of associated physical phenomena. It is user friendly, thorough in its treatment of the theory and encyclopaedic in its coverage of the experimental literature. I have no doubts that it will become a standard text." --Scope (The Journal of the IPSM) --This text refers to an out of print or unavailable edition of this title.

From the Back Cover

The wide range of important applications concerning the acoustic interactions of bubbles necessitates a book of this form which, utilising analogy, description, and formulation, gives a 'physical feel' for the phenomena, whilst also providing thoroughly for mathematically adept readers.
The first half of the book introduces and draws together acoustics, cavitation nucleation and associated fluid dynamics, to examine the free oscillations of bubbles and the resulting acoustic emissions. In the second half, the behaviour and consequences of bubbles in externally-applied acoustic fields is discussed in detail, including the cavitational aspects of erosion and bioeffects.

Throughout the book topics drawn from a variety of disciplines, and include:

. Bubble and cavitation detection

. Bioeffects of clinical ultrasound

. Oceanic bubble populations

.
Sonochemistry

. Ultrasonic degassing

. Weather sensing

Product Details

  • Paperback: 640 pages
  • Publisher: Academic Press (January 20, 1994)
  • Language: English
  • ISBN-10: 0124124984
  • ISBN-13: 978-0124124981
  • 10,0 MB , djvu
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