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Rotating Fluids In Geophysics
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Book Synopsis Rotating Fluids in Geophysics by : Paul Harry Roberts
Download or read book Rotating Fluids in Geophysics written by Paul Harry Roberts and published by . This book was released on 1978 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Rotating Fluids in Geophysical and Industrial Applications by : E.J. Hopfinger
Download or read book Rotating Fluids in Geophysical and Industrial Applications written by E.J. Hopfinger and published by Springer. This book was released on 2014-05-04 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Geophysics by : Jean-Yves Chemin
Download or read book Mathematical Geophysics written by Jean-Yves Chemin and published by Oxford University Press on Demand. This book was released on 2006-04-13 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Geophysics by : Jean-Yves Chemin
Download or read book Mathematical Geophysics written by Jean-Yves Chemin and published by Clarendon Press. This book was released on 2006-04-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Rotating Fluids in Geophysical and Industrial Applications by : E. J. Hopfinger
Download or read book Rotating Fluids in Geophysical and Industrial Applications written by E. J. Hopfinger and published by . This book was released on 2014-09-01 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Geophysical Fluid Dynamics by : Benoit Cushman-Roisin
Download or read book Introduction to Geophysical Fluid Dynamics written by Benoit Cushman-Roisin and published by Academic Press. This book was released on 2011-08-26 with total page 875 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. Combines both physical and numerical aspects of geophysical fluid dynamics into a single affordable volume Explores contemporary topics such as the Greenhouse Effect, global warming and the El Nino Southern Oscillation Biographical and historical notes at the ends of chapters trace the intellectual development of the field Recipient of the 2010 Wernaers Prize, awarded each year by the National Fund for Scientific Research of Belgium (FNR-FNRS).
Book Synopsis Convection in Rotating Fluids by : B.M. Boubnov
Download or read book Convection in Rotating Fluids written by B.M. Boubnov and published by Springer. This book was released on 1995-02-28 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial inhomogeneity of heating of fluids in the gravity field is the cause of all motions in nature: in the atmosphere and the oceans on Earth, in astrophysical and planetary objects. All natural objects rotate and convective motions in rotating fluids are of interest in many geophysical and astrophysical phenomena. In many industrial applications, too (crystal growth, semiconductor manufacturing), heating and rotation are the main mechanisms defining the structure and quality of the material. Depending on the geometry of the systems and the mutual orientation of temperature and gravity field, a variety of phenomena will arise in rotating fluids, such as regular and oscillating waves, intensive solitary vortices and regular vortex grids, interacting vortices and turbulent mixing. In this book the authors elucidate the physical essence of these phenomena, determining and classifying flow regimes in the space of similarity numbers. The theoretical and computational results are presented only when the results help to explain basic qualitative motion characteristics. The book will be of interest to researchers and graduate students in fluid mechanics, meteorology, oceanography and astrophysics, crystallography, heat and mass transfer.
Book Synopsis Geophysical Fluid Dynamics by : Vladimir Zeitlin
Download or read book Geophysical Fluid Dynamics written by Vladimir Zeitlin and published by Oxford University Press. This book was released on 2018 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Geophysical Fluid Dynamics by : Benoit Cushman-Roisin
Download or read book Introduction to Geophysical Fluid Dynamics written by Benoit Cushman-Roisin and published by Academic Press. This book was released on 2011-08-26 with total page 851 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. Combines both physical and numerical aspects of geophysical fluid dynamics into a single affordable volume Explores contemporary topics such as the Greenhouse Effect, global warming and the El Nino Southern Oscillation Biographical and historical notes at the ends of chapters trace the intellectual development of the field Recipient of the 2010 Wernaers Prize, awarded each year by the National Fund for Scientific Research of Belgium (FNR-FNRS)
Book Synopsis Lectures on Geophysical Fluid Dynamics by : Rick Salmon
Download or read book Lectures on Geophysical Fluid Dynamics written by Rick Salmon and published by Oxford University Press, USA. This book was released on 1998-05-21 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on Geophysical Fluid Dynamics offers an introduction to several topics in theoretical geophysical fluid dynamics, including the theory of large-scale ocean circulation, geostrophic turbulence, and Hamiltonian fluid dynamics. The book is based on an introductory course in dynamical oceanography offered to first-year graduate students at Scripps Institution of Oceanography. Each chapter is a self-contained introduction ti its particular subject, and makes few specific references to other chapters. Chapters 1 examines the relationship between the molecular and continuum models of the fluid, and between the Eulerian and Lagrangian descriptions of the latter. Ch.2 is a broad introduction to the fluid dynamics of rotating, stratified flows. Ch.3 adddresses large-scale ocean circulation. Chs.4,5 and 6 discuss the theory of turbulence, including elementary ideas based on vorticity laws (Ch.4), statistical turbulence theory (Ch.5), and the applications of these ideas to quasigeostrophic flows in the Earth's oceans and atmosphere (Ch.6). Ch.7 surveys Hamiltonoian fluid dynamics, including the interaction between waves and currents, and "balanced" approximations to nearly geostrophic flow. Overall, the emphasis is on physical ideas rather than mathematical techniques. Readers are assumed to have had an elementary introduction to fluid mechanics, to know advanced calculus through partial differential equations, and to be familiar with the elementary ideas about linear waves, including the concept of group velocity.
Book Synopsis Theory and Modeling of Rotating Fluids by : Keke Zhang
Download or read book Theory and Modeling of Rotating Fluids written by Keke Zhang and published by Cambridge University Press. This book was released on 2017-05-23 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic account of the theory and modelling of rotating fluids that highlights the remarkable advances in the area and brings researchers and postgraduate students in atmospheres, oceanography, geophysics, astrophysics and engineering to the frontiers of research. Sufficient mathematical and numerical detail is provided in a variety of geometries such that the analysis and results can be readily reproduced, and many numerical tables are included to enable readers to compare or benchmark their own calculations. Traditionally, there are two disjointed topics in rotating fluids: convective fluid motion driven by buoyancy, discussed by Chandrasekhar (1961), and inertial waves and precession-driven flow, described by Greenspan (1968). Now, for the first time in book form, a unified theory is presented for three topics - thermal convection, inertial waves and precession-driven flow - to demonstrate that these seemingly complicated, and previously disconnected, problems become mathematically simple in the framework of an asymptotic approach that incorporates the essential characteristics of rotating fluids.
Book Synopsis Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory, and Climate Dynamics by : M. Ghil
Download or read book Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory, and Climate Dynamics written by M. Ghil and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vigorous stirring of a cup of tea gives rise, as we all know, to interesting fluid dynamical phenomena, some of which are very hard to explain. In this book our "cup of tea" contains the currents of the Earth's atmosphere, oceans, mantle, and fluid core. Our goal is to under stand the basic physical processes which are most important in describing what we observe, directly or indirectly, in these complex systems. While in many respects our understanding is measured by the ability to predict, the focus here will be on relatively simple models which can aid our physical intuition by suggesting useful mathematical methods of investiga tion. These elementary models can be viewed as part of a hierarchy of models of increasing complexity, moving toward those which might be use fully predictive. The discussion in this book will deal primarily with the Earth. Interplanetary probes of Venus, Mars, Jupiter and Saturn have revealed many exciting phenomena which bear on geophysical fluid dynamics. They have also enabled us to see the effect of changing the values of certain parameters, such as gravity and rotation rate, on geophysical flows. On the other hand, satellite observations of our own planet on a daily and hourly basis have turned it into a unique laboratory for the study of fluid motions on a scale never dreamt of before: the motion of cyclones can be observed via satellite just as wing tip vortices are studied in a wind tunnel.
Book Synopsis An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics by :
Download or read book An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics written by and published by Elsevier. This book was released on 1980-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics
Book Synopsis Instability in Geophysical Flows by : William D. Smyth
Download or read book Instability in Geophysical Flows written by William D. Smyth and published by Cambridge University Press. This book was released on 2019-04-25 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities are present in all natural fluids from rivers to atmospheres. This book considers the physical processes that generate instability. Part I describes the normal mode instabilities most important in geophysical applications, including convection, shear instability and baroclinic instability. Classical analytical approaches are covered, while also emphasising numerical methods, mechanisms such as internal wave resonance, and simple `rules of thumb' that permit assessment of instability quickly and intuitively. Part II introduces the cutting edge: nonmodal instabilities, the relationship between instability and turbulence, self-organised criticality, and advanced numerical techniques. Featuring numerous exercises and projects, the book is ideal for advanced students and researchers wishing to understand flow instability and apply it to their own research. It can be used to teach courses in oceanography, atmospheric science, coastal engineering, applied mathematics and environmental science. Exercise solutions and MATLAB® examples are provided online. Also available as Open Access on Cambridge Core.
Book Synopsis Fundamentals of Geophysical Fluid Dynamics by : James C. McWilliams
Download or read book Fundamentals of Geophysical Fluid Dynamics written by James C. McWilliams and published by Cambridge University Press. This book was released on 2006-07-20 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intermediate/advanced textbook which provides concise and accessible introduction to GFD for broad range of students.
Book Synopsis Geophysical Fluid Dynamics I by : Emin Özsoy
Download or read book Geophysical Fluid Dynamics I written by Emin Özsoy and published by Springer. This book was released on 2021-08-26 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook develops a fundamental understanding of geophysical fluid dynamics by providing a mathematical description of fluid properties, kinematics and dynamics as influenced by earth’s rotation. Its didactic value is based on elaborate treatment of basic principles, derived equations, exemplary solutions and their interpretation. Both starting graduate students and experienced scientists can closely follow the mathematical development of the basic theory applied to the flow of uniform density fluids on a rotating earth, with (1) basic physics introducing the "novel" effects of rotation for flows on planetary scales, (2) simplified dynamics of shallow water and quasi-geostrophic theories applied to a variety of steady, unsteady flows and geophysical wave motions, demonstrating the restoring effects of Coriolis acceleration, earth’s curvature (beta) and topographic steering, (3) conservation of vorticity and energy at geophysical scales, and (4) specific applications to help demonstrate the ability to create and solve new problems in this very rich field. A comprehensive review of the complex geophysical flows of the ocean and the atmosphere is closely knitted with this basic description, intended to be developed further in the second volume that addresses density stratified geophysical fluid dynamics.
Book Synopsis Rotating Fluid Studies with Relevance to Geophysics by : T. S. Murty
Download or read book Rotating Fluid Studies with Relevance to Geophysics written by T. S. Murty and published by Marine Sciences Directorate. This book was released on 1972 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
