Vorticity and Vortex Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540290281
Total Pages : 776 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Vorticity and Vortex Dynamics by : Jie-Zhi Wu

Download or read book Vorticity and Vortex Dynamics written by Jie-Zhi Wu and published by Springer Science & Business Media. This book was released on 2007-04-20 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.

Vortex Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521477390
Total Pages : 332 pages
Book Rating : 4.4/5 (773 download)

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Book Synopsis Vortex Dynamics by : P. G. Saffman

Download or read book Vortex Dynamics written by P. G. Saffman and published by Cambridge University Press. This book was released on 1995-02-24 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Vortical Flows

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Publisher : Springer
ISBN 13 : 3662470616
Total Pages : 453 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Vortical Flows by : Jie-Zhi Wu

Download or read book Vortical Flows written by Jie-Zhi Wu and published by Springer. This book was released on 2015-06-23 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive and intensive book for graduate students in fluid dynamics as well as scientists, engineers and applied mathematicians. Offering a systematic introduction to the physical theory of vortical flows at graduate level, it considers the theory of vortical flows as a branch of fluid dynamics focusing on shearing process in fluid motion, measured by vorticity. It studies vortical flows according to their natural evolution stages,from being generated to dissipated. As preparation, the first three chapters of the book provide background knowledge for entering vortical flows. The rest of the book deals with vortices and vortical flows, following their natural evolution stages. Of various vortices the primary form is layer-like vortices or shear layers, and secondary but stronger form is axial vortices mainly formed by the rolling up of shear layers. Problems are given at the end of each chapter and Appendix, some for helping understanding the basic theories, and some involving specific applications; but the emphasis of both is always on physical thinking.

Vorticity and Incompressible Flow

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Publisher : Cambridge University Press
ISBN 13 : 9780521639484
Total Pages : 562 pages
Book Rating : 4.6/5 (394 download)

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Book Synopsis Vorticity and Incompressible Flow by : Andrew J. Majda

Download or read book Vorticity and Incompressible Flow written by Andrew J. Majda and published by Cambridge University Press. This book was released on 2002 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fluid Vortices

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Publisher : Springer Science & Business Media
ISBN 13 : 940110249X
Total Pages : 905 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Fluid Vortices by : Sheldon Green

Download or read book Fluid Vortices written by Sheldon Green and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Vortices is a comprehensive, up-to-date, research-level overview covering all salient flows in which fluid vortices play a significant role. The various chapters have been written by specialists from North America, Europe and Asia, making for unsurpassed depth and breadth of coverage. Topics addressed include fundamental vortex flows (mixing layer vortices, vortex rings, wake vortices, vortex stability, etc.), industrial and environmental vortex flows (aero-propulsion system vortices, vortex-structure interaction, atmospheric vortices, computational methods with vortices, etc.), and multiphase vortex flows (free-surface effects, vortex cavitation, and bubble and particle interactions with vortices). The book can also be recommended as an advanced graduate-level supplementary textbook. The first nine chapters of the book are suitable for a one-term course; chapters 10--19 form the basis for a second one-term course.

Theory of Concentrated Vortices

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Publisher : Springer Science & Business Media
ISBN 13 : 3540733760
Total Pages : 505 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Theory of Concentrated Vortices by : S. V. Alekseenko

Download or read book Theory of Concentrated Vortices written by S. V. Alekseenko and published by Springer Science & Business Media. This book was released on 2007-08-29 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation.

Theoretical Approaches to Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 1461210925
Total Pages : 377 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theoretical Approaches to Turbulence by : D.L. Dwoyer

Download or read book Theoretical Approaches to Turbulence written by D.L. Dwoyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence is the lIDst natural nDde of fluid lIDtion, and has been the subject of scientific study for all Dst a century. During this period, various ideas and techniques have evolved to nDdel turbulence. Following Saffman, these theoretical approaches can be broadly divided into four overlapping categories -- (1) analytical lIDdelling, (2) physical lIDdelling, (3) phenomenologicalllDdelling, and (4) nurerical lIDdelling. With the purpose of stmtnarizing our =ent understanding of these theoretical approaches to turbulence, recognized leaders (fluid dynamicists, mathematicians and physicists) in the field were invited to participate in a formal workshop during October 10-12, 1984, sponsored by The Institute for CooIputer Applications in Science and Engineering and NASA Langley Research Center. Kraiciman, McCcxnb, Pouquet and Spiegel represented the category of analytical nDdelling, while Landahl and Saffman represented physical lIDdelling. The contributions of Latmder and Spalding were in the category of phenanenological lIDdelling, and those of Ferziger and Reynolds in the area of nurericalllDdelling. Aref, Cholet, Lumley, Moin, Pope and Temam served on the panel discussions. With the care and cooperation of the participants, the workshop achieved its purpose, and we believe that its proceedings published in this vol\. llre has lasting scientific value. The tone of the workshop was set by two introductory talks by Bushnell and ChaImm. Buslmell presented the engineering viewpoint while Chapman reviewed from a historical perspective developments in the study of turbulence. The remaining talks dealt with specific aspects of the theoretical approaches to fluid turbulence.

Quantized Vortices in Helium II

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Publisher : Cambridge University Press
ISBN 13 : 9780521324007
Total Pages : 368 pages
Book Rating : 4.3/5 (24 download)

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Book Synopsis Quantized Vortices in Helium II by : Russell J. Donnelly

Download or read book Quantized Vortices in Helium II written by Russell J. Donnelly and published by Cambridge University Press. This book was released on 1991-03-07 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the properties of quantized vortex lines in superfluid helium-4 in the light of research on vortices in modern fluid mechanics, and gives the first comprehensive treatment of the problem. The author's comprehensive approach will make this book invaluable for students taking advanced undergraduate or graduate courses, and for all those involved in research on classical and quantum vortices.

Quantized Vortex Dynamics and Superfluid Turbulence

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Publisher : Springer
ISBN 13 : 3540455426
Total Pages : 459 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quantized Vortex Dynamics and Superfluid Turbulence by : C.F. Barenghi

Download or read book Quantized Vortex Dynamics and Superfluid Turbulence written by C.F. Barenghi and published by Springer. This book was released on 2008-01-11 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.

Liutex and Its Applications in Turbulence Research

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Publisher : Academic Press
ISBN 13 : 0128190248
Total Pages : 460 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Liutex and Its Applications in Turbulence Research by : Chaoqun Liu

Download or read book Liutex and Its Applications in Turbulence Research written by Chaoqun Liu and published by Academic Press. This book was released on 2020-10-29 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and explains their applications in flow transition, turbulent flow, flow control, and turbulent flow experiments. The book explains the term "Rortex" as a mathematically defined rigid rotation of fluids or vortex, which could help solve many longstanding problems in turbulence research. The accurate mathematical definition of the vortex is important in a range of industrial contexts, including aerospace, turbine machinery, combustion, and electronic cooling systems, so there are many areas of research that can benefit from the innovations described here. This book provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence. Important theory and methodologies used for developing these laws are described in detail, including: the classification of the conventional turbulent boundary layer concept based on proper velocity scaling; the methodology for identification of the scales of velocity, temperature, and length needed to establish the law; and the discovery, proof, and strict validations of the laws, with both Reynolds and Prandtl number independency properties using DNS data. The establishment of these statistical laws is important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence. - Provides an accurate mathematical definition of vortices - Provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence - Explains the term "Rortex as a mathematically defined rigid rotation of fluids or vortex - Covers the statistical laws important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence

Vortex Rings

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Publisher : Springer Science & Business Media
ISBN 13 : 3642050166
Total Pages : 154 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Vortex Rings by : D. G. Akhmetov

Download or read book Vortex Rings written by D. G. Akhmetov and published by Springer Science & Business Media. This book was released on 2009-11-24 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex flow is one of the fundamental types of fluid and gas motion. These flows are the most spectacular in the form of concentrated vortices, characterized by the localization of vorticity (curl of velocity) in bounded regions of a space, beyond which the vorticity is either absent or rapidly falls down to zero. Concentrated vortices are often observed in nature, exemplified by atmospheric cyclones, whirlwinds and tornados, oceanic vortices, whirlpools on a water s- face, and ring vortices caused by explosive outburst of volcanoes. In technical - vices concentrated vortices form when flow separates from sharp edges of flying vehicles and ships. Among these are vortices flowing off the ends of airplane wings, and intentionally generated vortices for intensification of burning in c- bustion chambers, vortices in cyclonic devices used for mixing or separation of impurities in fluids and gases. One such remarkable and frequent type of conc- trated vortices is a vortex ring which constitutes a vortex tube closed into a t- oidal ring moving in a surrounding fluid like an isolated body out of contact with solid boundaries of the flow region if such boundaries exist. Formation and motion of vortex rings are important part of the dynamics of a continuum medium and have been studied for more than a century.

Environmental Hazards: The Fluid Dynamics And Geophysics Of Extreme Events

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Publisher : World Scientific
ISBN 13 : 9814464678
Total Pages : 330 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Environmental Hazards: The Fluid Dynamics And Geophysics Of Extreme Events by : H Keith Moffatt

Download or read book Environmental Hazards: The Fluid Dynamics And Geophysics Of Extreme Events written by H Keith Moffatt and published by World Scientific. This book was released on 2011-07-13 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a Spring School on Fluid Dynamics and Geophysics of Environmental Hazards from 19 April to 2 May 2009. This volume contains the content of the nine short lecture courses given at this School, with a focus mainly on tropical cyclones, tsunamis, monsoon flooding and atmospheric pollution, all within the context of climate variability and change.The book provides an introduction to these topics from both mathematical and geophysical points of view, and will be invaluable for graduate students in applied mathematics, geophysics and engineering with an interest in this broad field of study, as well as for seasoned researchers in adjacent fields.

Recent Developments in Theoretical and Experimental Fluid Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642672205
Total Pages : 663 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Recent Developments in Theoretical and Experimental Fluid Mechanics by : U. Müller

Download or read book Recent Developments in Theoretical and Experimental Fluid Mechanics written by U. Müller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Prof. Dr.-Ing. J. Zierep

The Kinematics of Vorticity

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Publisher : Courier Dover Publications
ISBN 13 : 0486835065
Total Pages : 259 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Kinematics of Vorticity by : Clifford Truesdell

Download or read book The Kinematics of Vorticity written by Clifford Truesdell and published by Courier Dover Publications. This book was released on 2018-10-17 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "When all has been said, one important fact emerges: this book is a valuable compendium of results that every expert in hydrodynamics, gas dynamics, or dynamical meteorology will want to keep by … [their]side and refer to frequently." — Bulletin of the American Mathematical Society This unique graduate-level monograph offers a heavily mathematical treatment of the vorticity of fluids. The subject's wealth of applications extends to many areas of physics and engineering, and the book will also appeal to mathematically oriented historians of science. Starting with consideration of geometrical and kinematical preliminaries, the text advances to examinations of vorticity, the vorticity field, vorticity measures, and vorticity averages. Subsequent chapters explore Bernoullian theorems, convection and diffusion of vorticity, and circulation-preserving motions.

Theory of Vortex Sound

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Publisher : Cambridge University Press
ISBN 13 : 9780521012232
Total Pages : 236 pages
Book Rating : 4.0/5 (122 download)

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Book Synopsis Theory of Vortex Sound by : M. S. Howe

Download or read book Theory of Vortex Sound written by M. S. Howe and published by Cambridge University Press. This book was released on 2003 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

An Introduction to Magnetohydrodynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521794879
Total Pages : 456 pages
Book Rating : 4.7/5 (948 download)

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Book Synopsis An Introduction to Magnetohydrodynamics by : P. A. Davidson

Download or read book An Introduction to Magnetohydrodynamics written by P. A. Davidson and published by Cambridge University Press. This book was released on 2001-03-05 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text on magnetohydrodynamics (MHD) - the study of the interaction of magnetic fields and conducting fluids.

Dynamics of Quantised Vortices in Superfluids

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Publisher : Cambridge University Press
ISBN 13 : 1107006686
Total Pages : 405 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Dynamics of Quantised Vortices in Superfluids by : Edouard B. Sonin

Download or read book Dynamics of Quantised Vortices in Superfluids written by Edouard B. Sonin and published by Cambridge University Press. This book was released on 2016-02-04 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws together all the basic principles of vortex dynamics in neutral superfluids in one comprehensive volume.