Rotating Fluids In Geophysics
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Rotating Fluids In Geophysics
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Author : Paul Harry Roberts
language : en
Publisher:
Release Date : 1978
Rotating Fluids In Geophysics written by Paul Harry Roberts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Science categories.
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.
Rotating Fluids In Geophysical And Industrial Applications
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Author : E.J. Hopfinger
language : en
Publisher: Springer
Release Date : 1992-10-20
Rotating Fluids In Geophysical And Industrial Applications written by E.J. Hopfinger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-20 with Science categories.
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.
Mathematical Geophysics
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Author : Jean-Yves Chemin
language : en
Publisher: Clarendon Press
Release Date : 2006-04-13
Mathematical Geophysics written by Jean-Yves Chemin and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-13 with Science categories.
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.
Rotating Fluids In Geophysical And Industrial Applications
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Author : E. J. Hopfinger
language : en
Publisher:
Release Date : 2014-09-01
Rotating Fluids In Geophysical And Industrial Applications written by E. J. Hopfinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Mathematical Geophysics
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Author : Jean-Yves Chemin
language : en
Publisher: Clarendon Press
Release Date : 2006-04-13
Mathematical Geophysics written by Jean-Yves Chemin and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-13 with Mathematics categories.
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.
Special Issue Rotating Fluids In Geophysics
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Author : John Brindley
language : en
Publisher:
Release Date : 2011
Special Issue Rotating Fluids In Geophysics written by John Brindley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
The Dynamics Of Rotating Fluids
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Author : P A Davidson
language : en
Publisher: Oxford University Press
Release Date : 2024-06-28
The Dynamics Of Rotating Fluids written by P A Davidson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-28 with Mathematics categories.
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.
Rotating Fluid Studies With Relevance To Geophysics
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Author : T. S. Murty
language : en
Publisher: Marine Sciences Directorate
Release Date : 1972
Rotating Fluid Studies With Relevance To Geophysics written by T. S. Murty and has been published by Marine Sciences Directorate this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Fluid dynamics categories.
Geophysical Fluid Dynamics
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Author : Vladimir Zeitlin
language : en
Publisher: Oxford University Press
Release Date : 2018
Geophysical Fluid Dynamics written by Vladimir Zeitlin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
Geophysical fluid dynamics examines the dynamics of stratified and turbulent motion of fluids in the ocean and outer core, and of gases in the atmosphere. This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete "primitive equations" models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes. This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations of fundamentals, and problems, as well as a more advanced treatise of a range of principal dynamical phenomena (Part 2), including recently arisen approaches and applications (Part 3). Mathematics and physics underlying dynamical phenomena are explained, with necessary demonstrations. Yet, an important goal of the book is to develop the reader's physical intuition and qualitative insights.
Geophysical Fluid Dynamics Ii
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Author : Emin Özsoy
language : en
Publisher: Springer Nature
Release Date : 2021-08-13
Geophysical Fluid Dynamics Ii written by Emin Özsoy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-13 with Science categories.
This book develops a fundamental understanding of geophysical fluid dynamics based on a mathematical description of the flows of inhomogeneous fluids. It covers these topics: 1. development of the equations of motion for an inhomogeneous fluid 2. review of thermodynamics 3. thermodynamic and kinetic energy equations 4. equations of state for the atmosphere and the ocean, salt, and moisture effects 5. concepts of potential temperature and potential density 6. Boussinesq and quasi-geostrophic approximations 7. conservation equations for vorticity, mechanical and thermal energy instability theories, internal waves, mixing, convection, double-diffusion, stratified turbulence, fronts, intrusions, gravity currents Graduate students will be able to learn and apply the basic theory of geophysical fluid dynamics of inhomogeneous fluids on a rotating earth, including: 1. derivation of the governing equations for a stratified fluid starting from basic principles of physics 2. review of thermodynamics, equations of state, isothermal, adiabatic, isentropic changes 3. scaling of the equations, Boussinesq approximation, applied to the ocean and the atmosphere 4. examples of stratified flows at geophysical scales, steady and unsteady motions, inertia-gravity internal waves, quasi-geostrophic theory 5. vorticity and energy conservation in stratified fluids 6.boundary layer convection in stratified containers and basins