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Vortex Dynamics

1995-02-24 Mathematics
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Release : 1995-02-24
Genre : Mathematics
Kind : eBook
Book Rating : 390/5 ( reviews)

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Book Synopsis Vortex Dynamics by : P. G. Saffman

Download or read book Vortex Dynamics written by P. G. Saffman. This book was released on 1995-02-24. 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.

Vorticity and Vortex Dynamics

2007-04-20 Technology & Engineering
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Release : 2007-04-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 281/5 ( reviews)

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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. This book was released on 2007-04-20. 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.

Quantized Vortex Dynamics and Superfluid Turbulence

2008-01-11 Technology & Engineering
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Release : 2008-01-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 426/5 ( reviews)

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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. This book was released on 2008-01-11. 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.

Theoretical Approaches to Turbulence

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 925/5 ( reviews)

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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. This book was released on 2012-12-06. 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.

Vortical Flows

2015-06-23 Technology & Engineering
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Release : 2015-06-23
Genre : Technology & Engineering
Kind : eBook
Book Rating : 616/5 ( reviews)

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Book Synopsis Vortical Flows by : Jie-Zhi Wu

Download or read book Vortical Flows written by Jie-Zhi Wu. This book was released on 2015-06-23. 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.

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