Theory of Concentrated Vortices

Theory of Concentrated Vortices PDF Author: S. V. Alekseenko
Publisher: Springer Science & Business Media
ISBN: 3540733760
Category : Technology & Engineering
Languages : en
Pages : 505

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Book Description
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.

Theory of Concentrated Vortices

Theory of Concentrated Vortices PDF Author: S. V. Alekseenko
Publisher: Springer Science & Business Media
ISBN: 3540733760
Category : Technology & Engineering
Languages : en
Pages : 505

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Book Description
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.

Introduction to Vortex Theory

Introduction to Vortex Theory PDF Author: Hans J. Lugt
Publisher: Hans J Lugt
ISBN: 9780965768900
Category : Science
Languages : en
Pages : 627

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Book Description


Vortex Rings

Vortex Rings PDF Author: D. G. Akhmetov
Publisher: Springer Science & Business Media
ISBN: 3642050166
Category : Technology & Engineering
Languages : en
Pages : 154

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Book Description
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.

Vortex Dynamics

Vortex Dynamics PDF Author: P. G. Saffman
Publisher: Cambridge University Press
ISBN: 9780521477390
Category : Mathematics
Languages : en
Pages : 332

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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.

Experimental and Theoretical Studies on Concentrated Columnar Vortices

Experimental and Theoretical Studies on Concentrated Columnar Vortices PDF Author: Vladimir Kozel
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Dimensional Vortex Theory: Our Dimension Is One in Many

Dimensional Vortex Theory: Our Dimension Is One in Many PDF Author: Sooraj Krishna KV
Publisher:
ISBN: 9781545754443
Category :
Languages : en
Pages : 0

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Book Description


Selfdual Gauge Field Vortices

Selfdual Gauge Field Vortices PDF Author: Gabriella Tarantello
Publisher: Springer Science & Business Media
ISBN: 0817646086
Category : Science
Languages : en
Pages : 335

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Book Description
This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.

Vorticity and Vortex Dynamics

Vorticity and Vortex Dynamics PDF Author: Jie-Zhi Wu
Publisher: Springer Science & Business Media
ISBN: 3540290281
Category : Technology & Engineering
Languages : en
Pages : 776

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Book Description
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 Stability and Breakdown

Vortex Stability and Breakdown PDF Author: S. Leibovich
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Book Description
Theoretical and experimental results, some quite recent, on the instability and breakdown of concentrated vortices at high Reynolds numbers are reviewed. Wave related theories of the vortex breakdown phenomena are treated in some detail; these appear to provide a qualitative description of the response of vortex breakdown to variations in swirl or flow rate, and Benjamin's criticality classification, a wave-based concept, is consistent with experimental data. Known general criteria for the stability of instability of inviscid columnar vortices are reviewed, together with numerical studies of an inviscid vortex model that provides an excellent analytical fit to measured velocity profiles in vortices that experience breakdown. A new analysis of experimental data on vortex breakdown flows sheds light on the interplay between criticality and instability. The flows sufficiently far upstream of breakdowns to be unaffected by them are supercritical and stable, but they are generally closer to marginal instability than they are to criticality. The wakes are both subcritical and unstable. A conceptual framework for vortex breakdown, incorporating nonlinear wave theory and instability to three-dimensional disturbances, is suggested based on information derived from the experimental studies. (Author).

Coherent Vortex Structures in Fluids and Plasmas

Coherent Vortex Structures in Fluids and Plasmas PDF Author: Anatoli Tur
Publisher: Springer
ISBN: 3319527339
Category : Science
Languages : en
Pages : 313

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Book Description
This monograph introduces readers to the hydrodynamics of vortex formation, and reviews the last decade of active research in the field, offering a unique focus on research topics at the crossroads of traditional fluids and plasmas. Vortices are responsible for the process of macroscopic transport of momentum, energy and mass, and are formed as the result of spontaneous self-organization. Playing an important role in nature and technology, localized, coherent vortices are regularly observed in shear flows, submerged jets, afterbody flows and in atmospheric boundary layers, sometimes taking on the form of vortex streets. In addition, the book addresses a number of open issues, including but not limited to: which singularities are permitted in a 2D Euler equation besides point vortices? Which other, even more complex, localized vortices could be contained in the Euler equation? How do point vortices interact with potential waves?