The Dynamics Of Rotating Fluids

Author : P. A. Davidson
Publisher : Oxford University Press
Page : 529 pages
File Size : 55,9 Mb
Release : 2024-03-28
Category : Science
ISBN : 9780198886327

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The Dynamics of Rotating Fluids by P. A. Davidson Pdf

This textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence. The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the book places great emphasis on the pedagogical development of theoretical ideas and the physical insight that brings.

Author : Greenspan
Publisher : CUP Archive
Page : 388 pages
File Size : 50,6 Mb
Release : 1968-07
Category : Mathematics
ISBN : 0521051479

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The Theory of Rotating Fluids by Greenspan Pdf

Author : Paul Harry Roberts,A. M. Soward
Publisher : Unknown
Page : 586 pages
File Size : 45,6 Mb
Release : 1978
Category : Science
ISBN : UOM:39015002095092

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Rotating Fluids in Geophysics by Paul Harry Roberts,A. M. Soward Pdf

The subject of rotating fluids is worth studying for many reasons, not least of which is that all large scale motions of the Earth's atmosphere, oceans and core are dominated by its rotation. Trade winds follow lines of latitude because of rotation: the effect of these winds upon the Atlantic generates, in gyroscopic fashion, the intense northerly flowing Gulf Stream: and evidence of the impact of rotation on the Earth's core is seen in the northwardd pointing compass. However, the study of rotating fluids has also been characterized by the power, elegance and ingenuity of the experimental and theoretical tools which have been brought to bear on it - tools of which every fluid mechanist ought to be aware. This book is devoted primarily to a theoretical exposition of the subject, although several sections are centred on experimental and numerical techniques in their applications to the atmosphere, oceans and core of the Earth. A theme running through the book is waves and stability, supported by a brief section expounding hydrodynamic stability theory.

Author : P A Davidson,Professor of Fluid Mechanics P A Davidson
Publisher : Oxford University Press
Page : 529 pages
File Size : 53,9 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 9780198886303

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The Dynamics of Rotating Fluids by P A Davidson,Professor of Fluid Mechanics P A Davidson Pdf

This textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence. The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the book places great emphasis on the pedagogical development of theoretical ideas and the physical insight that brings.

Author : D. J. Tritton
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400999923

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Physical Fluid Dynamics by D. J. Tritton Pdf

To classify a book as 'experimental' rather than 'theoretical' or as 'pure' rather than 'applied' is liable to imply umeal distinctions. Nevertheless, some Classification is necessary to teIl the potential reader whether the book is for him. In this spirit, this book may be said to treat fluid dynamies as a branch of physics, rather than as a branch of applied mathematics or of engineering. I have often heard expressions of the need for such a book, and certainly I have feIt it in my own teaching. I have written it primariIy for students of physics and of physics-based applied science, aIthough I hope others may find it useful. The book differs from existing 'fundamental' books in placing much greater emphasis on what we know through laboratory experiments and their physical interpretation and less on the mathe matieal formalism. It differs from existing 'applied' books in that the choice of topics has been made for the insight they give into the behaviour of fluids in motion rather than for their practical importance. There are differences also from many existing books on fluid dynamics in the branches treated, reflecting to some extent shifts of interest in reeent years. In particular, geophysical and astrophysical applications have prompted important fundamental developments in topics such as conveetion, stratified flow, and the dynamics of rotating fluids. These developments have hitherto been reflected in the contents of textbooks only to a limited extent.

Author : Richard E. Meyer
Publisher : Courier Corporation
Page : 192 pages
File Size : 52,5 Mb
Release : 2012-03-09
Category : Science
ISBN : 9780486151403

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Introduction to Mathematical Fluid Dynamics by Richard E. Meyer Pdf

Excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. Geared toward advanced undergraduate and graduate students of mathematics and science; prerequisites include calculus and vector analysis. 1971 edition.

Author : E.J. Hopfinger
Publisher : Springer
Page : 378 pages
File Size : 41,9 Mb
Release : 1992-10-20
Category : Science
ISBN : 321182393X

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Rotating Fluids in Geophysical and Industrial Applications by E.J. Hopfinger Pdf

The volume presents a comprehensive overview of rotation effects on fluid behavior, emphasizing non-linear processes. The subject is introduced by giving a range of examples of rotating fluids encountered in geophysics and engineering. This is then followed by a discussion of the relevant scales and parameters of rotating flow, and an introduction to geostrophic balance and vorticity concepts. There are few books on rotating fluids and this volume is, therefore, a welcome addition. It is the first volume which contains a unified view of turbulence in rotating fluids, instability and vortex dynamics. Some aspects of wave motions covered here are not found elsewhere.

Author : Peter R. N. Childs
Publisher : Elsevier
Page : 416 pages
File Size : 43,8 Mb
Release : 2010-10-29
Category : Science
ISBN : 0123820995

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Rotating Flow by Peter R. N. Childs Pdf

Rotating flow is critically important across a wide range of scientific, engineering and product applications, providing design and modeling capability for diverse products such as jet engines, pumps and vacuum cleaners, as well as geophysical flows. Developed over the course of 20 years’ research into rotating fluids and associated heat transfer at the University of Sussex Thermo-Fluid Mechanics Research Centre (TFMRC), Rotating Flow is an indispensable reference and resource for all those working within the gas turbine and rotating machinery industries. Traditional fluid and flow dynamics titles offer the essential background but generally include very sparse coverage of rotating flows—which is where this book comes in. Beginning with an accessible introduction to rotating flow, recognized expert Peter Childs takes you through fundamental equations, vorticity and vortices, rotating disc flow, flow around rotating cylinders and flow in rotating cavities, with an introduction to atmospheric and oceanic circulations included to help deepen understanding. Whilst competing resources are weighed down with complex mathematics, this book focuses on the essential equations and provides full workings to take readers step-by-step through the theory so they can concentrate on the practical applications. A detailed yet accessible introduction to rotating flows, illustrating the differences between flows where rotation is significant and highlighting the non-intuitive nature of rotating flow fields Written by world-leading authority on rotating flow, Peter Childs, making this a unique and authoritative work Covers the essential theory behind engineering applications such as rotating discs, cylinders, and cavities, with natural phenomena such as atmospheric and oceanic flows used to explain underlying principles Provides a rigorous, fully worked mathematical account of rotating flows whilst also including numerous practical examples in daily life to highlight the relevance and prevalence of different flow types Concise summaries of the results of important research and lists of references included to direct readers to significant further resources

Author : James P. Vanyo
Publisher : Courier Corporation
Page : 452 pages
File Size : 41,9 Mb
Release : 2014-05-05
Category : Science
ISBN : 9780486161983

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Rotating Fluids in Engineering and Science by James P. Vanyo Pdf

Lucid, well-written presentation for advanced undergraduates or beginning graduate students reviews basic fluid mechanics, introduces concepts, theories, and equations specific to rotating fluids, and presents numerous practical applications. "Highly recommended." — Choice.

Author : Mikhail A. Sokolovskiy,Jacques Verron
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 52,5 Mb
Release : 2013-08-28
Category : Science
ISBN : 9783319007892

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Dynamics of Vortex Structures in a Stratified Rotating Fluid by Mikhail A. Sokolovskiy,Jacques Verron Pdf

This book presents an extensive analysis of the dynamics of discrete and distributed baroclinic vortices in a multi-layer fluid that characterizes the main features of the large and mesoscales dynamics of the atmosphere and the ocean. It widely covers the case of hetonic situations as well as the case of intrathermocline vortices that are familiar in oceanographic and of recognized importance for heat and mass transfers. Extensive typology of such baroclinic eddies is made and analysed with the help of theoretical development and numerical computations. As a whole it gives an overview and synthesis of all the many situations that can be encountered based on the long history of the theory of vortex motion and on many new situations. It gives a renewed insight on the extraordinary richness of vortex dynamics and open the way for new theoretical, observational and experimental advances. This volume is of interest to experts in physical oceanography, meteorology, hydrodynamics, dynamic systems, involved in theoretical, experimental and applied research and lecturers, post-graduate students, and students in these fields.

Author : Stephen Childress
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 45,7 Mb
Release : 2009-10-09
Category : Science
ISBN : 9780821848883

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An Introduction to Theoretical Fluid Mechanics by Stephen Childress Pdf

This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.

Author : Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier
Publisher : Clarendon Press
Page : 264 pages
File Size : 42,5 Mb
Release : 2006-04-13
Category : Science
ISBN : 9780191513893

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Mathematical Geophysics by Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier Pdf

Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analysed. Part II is devoted to a self contained proof of the existence of weak (or strong) solutions to the incompressible Navier-Stokes equations. Part III deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analysed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinates and those in R2. In Part IV the stability of Ekman boundary layers, and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open.

Author : T. E. Faber
Publisher : Cambridge University Press
Page : 470 pages
File Size : 41,6 Mb
Release : 1995-08-17
Category : Science
ISBN : 0521429692

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Fluid Dynamics for Physicists by T. E. Faber Pdf

It is over three hundred and fifty years since Torricelli discovered the law obeyed by fountains, yet fluid dynamics remains an active and important branch of physics. This book provides an accessible and comprehensive account of the subject, emphasising throughout the fundamental physical principles, and stressing the connections with other branches of physics. Beginning with a gentle introduction, the book goes on to cover Bernouilli's theorem, compressible flow, potential flow, surface waves, viscosity, vorticity dynamics, thermal convection and instabilities, turbulence, non-Newtonian fluids and the propagation and attenuation of sound in gases. Undergraduate or graduate students in physics or engineering who are taking courses in fluid dynamics will find this book invaluable, but it will also be of great interest to anyone who wants to find out more about this fascinating subject.

Author : Anonim
Publisher : Elsevier
Page : 401 pages
File Size : 50,6 Mb
Release : 2007-04-03
Category : Science
ISBN : 9780080489469

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Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances by Anonim Pdf

The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. · Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context· Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)· Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)

Author : Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier
Publisher : Oxford University Press on Demand
Page : 263 pages
File Size : 40,5 Mb
Release : 2006-04-13
Category : Mathematics
ISBN : 9780198571339

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Mathematical Geophysics by Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier Pdf

Aimed at graduate students and researchers in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The Navier-Stokes equations are examined in both incompressible and rapidly rotating forms.