Vortex dynamics by P. G. Saffman

Cover of: Vortex dynamics | P. G. Saffman

Published by Cambridge University Press in Cambridge, New York .

Written in English

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Subjects:

  • Vortex-motion.

Edition Notes

Includes bibliographical references (p. [296]-308) and index.

Book details

StatementP.G. Saffman.
SeriesCambridge monographs on mechanics and applied mathematics
Classifications
LC ClassificationsQA925 .S28 1995
The Physical Object
Paginationxi, 311 p. :
Number of Pages311
ID Numbers
Open LibraryOL857100M
ISBN 100521477395
LC Control Number95138986

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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 /5(4). 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.5/5(1). 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 Vortex dynamics book Cited by: 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. 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.

The contents of the book cover a wide variety of topics related to the analysis of the dynamics of vortices and describe the results of experiments, computational modeling and their interpretation.

The book contains 13 chapters reaching areas of physics in vortex dynamics and optical vortices including vortices in superfluid atomic gases, vortex laser beams, vortex-antivortex in Cited by: 4.

The contents of the book cover topics on vortex dynamics in a variety of flow problems and describe observational measurements and their interpretation. The book contains 13 chapters that first include vortices in the earth and planetary sciences related to vortices in the Venus plasma wake and also Vortex dynamics book tropical cyclones and on rotating shallow water in the earth's atmosphere.

Vortices in fluid. 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 What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out.

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The major part of the book is divided into five chapters, each dealing critically with an important facet of The averaged equations for a passive vectorial admixture and for vortex dynamics. VORTEX DYNAMICS 1. Introduction A vortex is commonly associated with the rotating motion of °uid around a common centerline.

It is deflned by the vorticity in the °uid, which measures the rate of local °uid rotation. Typically, the °uid circulates around the vortex, the speed increases as the vortex is approached and the pressure decreases.

This is followed by vortex dynamics dealing with the motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, translational, and turbulent flows, including stratified and rotational fluids.

In another chapter vortical flow management is presented, such as diagnostics and control. Vortex Dynamics.

Vortex Filament Methods for Superfluids. David C. Samuels. Pages PDF. Introduction to HVBK Dynamics. Darryl D. Holm. Pages PDF. Magnus Force, Aharonov-Bohm Effect, and Berry Phase in Superfluids.

This book is primarily concerned with turbulence in superfluid helium. Quantized vorticity has traditionally. Vortex Dynamics (Cambridge Monographs on Mechanics series) by P. Saffman. 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 unsolved problems of classical physics.

These notes deal both with vortex dynamics and with the turbulent motion in °uids, with emphasis on the latter. The reason why the two subjects are brought together in a single course will become clear after chapters 2 and 3, which contain most of the material on vorticity.

In the mean time, you should take on faith that the reason. 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 Price: $ 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.

Formation of a vortex sheet. In perfect barotropic fluid, acted upon by conservative forces with a single-valued potential, the first Helmholtz law (§) says that it is not possible to endow a fluid particle with vorticity, and Kelvin's circulation theorem (§) shows that the circulation around a Author: P.

Saffman. Print book: EnglishView all editions and formats: Summary: Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory.

Rating: (not yet rated) 0 with reviews - Be the first. Subjects: Tourbillons (mécanique des fluides) More like this. The idea to describe the magnetization dynamics by an effective equation for a simpler system, e.g.

by an ODE for the vortex or domain wall coordinates (treating them as a quasiparticle. This procedure is called the vortex panel method of computational fluid dynamics.

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Physical understanding of vertical flow phenomena and mechanisms is the first priority. Abstract. This chapter is the third of three which set out the fundamental fluid dynamics required for the further development of aerodynamics.

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