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Mathematical Problems Of The Dynamics Of Incompressible Fluid On A Rotating Sphere
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Book Synopsis Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere by : Yuri N. Skiba
Download or read book Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere written by Yuri N. Skiba and published by Springer. This book was released on 2017-09-21 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected mathematical problems involving the dynamics of a two-dimensional viscous and ideal incompressible fluid on a rotating sphere. In this case, the fluid motion is completely governed by the barotropic vorticity equation (BVE), and the viscosity term in the vorticity equation is taken in its general form, which contains the derivative of real degree of the spherical Laplace operator. This work builds a bridge between basic concepts and concrete outcomes by pursuing a rich combination of theoretical, analytical and numerical approaches, and is recommended for specialists developing mathematical methods for application to problems in physics, hydrodynamics, meteorology and geophysics, as well for upper undergraduate or graduate students in the areas of dynamics of incompressible fluid on a rotating sphere, theory of functions on a sphere, and flow stability.
Book Synopsis Incompressible Fluid Dynamics by : P. A. Davidson
Download or read book Incompressible Fluid Dynamics written by P. A. Davidson and published by Oxford University Press. This book was released on 2022 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics. The text comprises topics that establish the broad conceptual framework of the subject, expose key phenomena, and play an important role in the myriad of applications that exist in both nature and technology. The first half of the book covers topics that include the inviscid equations of Euler and Bernoulli, the Navier-Stokes equation and some of its simpler exact solutions, laminar boundary layers and jets, potential flow theory with its various applications to aerodynamics, the theory of surface gravity waves, and flows with negligible inertia, such as suspensions, lubrication layers, and swimming micro-organisms. The second half is more specialised. Vortex dynamics, which is so essential to many natural phenomena in fluid mechanics, is developed in detail. This is followed by chapters on stratified fluids and flows subject to a strong background rotation, both topics being central to our understanding of atmospheric and oceanic flows. Fluid instabilities and the transition to turbulence are also covered, followed by two chapters on fully developed turbulence. The text is largely self-contained, and aims to combine mathematical precision with a breadth of engineering and geophysical applications. Throughout, physical insight is given priority over mathematical detail.
Book Synopsis Incompressible Flow by : Ronald L. Panton
Download or read book Incompressible Flow written by Ronald L. Panton and published by John Wiley & Sons. This book was released on 2013-08-05 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most teachable book on incompressible flow— now fully revised, updated, and expanded Incompressible Flow, Fourth Edition is the updated and revised edition of Ronald Panton's classic text. It continues a respected tradition of providing the most comprehensive coverage of the subject in an exceptionally clear, unified, and carefully paced introduction to advanced concepts in fluid mechanics. Beginning with basic principles, this Fourth Edition patiently develops the math and physics leading to major theories. Throughout, the book provides a unified presentation of physics, mathematics, and engineering applications, liberally supplemented with helpful exercises and example problems. Revised to reflect students' ready access to mathematical computer programs that have advanced features and are easy to use, Incompressible Flow, Fourth Edition includes: Several more exact solutions of the Navier-Stokes equations Classic-style Fortran programs for the Hiemenz flow, the Psi-Omega method for entrance flow, and the laminar boundary layer program, all revised into MATLAB A new discussion of the global vorticity boundary restriction A revised vorticity dynamics chapter with new examples, including the ring line vortex and the Fraenkel-Norbury vortex solutions A discussion of the different behaviors that occur in subsonic and supersonic steady flows Additional emphasis on composite asymptotic expansions Incompressible Flow, Fourth Edition is the ideal coursebook for classes in fluid dynamics offered in mechanical, aerospace, and chemical engineering programs.
Book Synopsis Motion of a Drop in an Incompressible Fluid by : I. V. Denisova
Download or read book Motion of a Drop in an Incompressible Fluid written by I. V. Denisova and published by Springer Nature. This book was released on 2021-09-20 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids. Featuring a thorough investigation of the unsteady motion of one fluid in another, researchers will find this to be a valuable resource when studying non-coercive problems to which standard techniques cannot be applied. As authorities in the area, the authors offer valuable insight into this area of research, which they have helped pioneer. This volume will offer pathways to further research for those interested in the active field of free boundary problems in fluid mechanics, and specifically the two-phase problem for the Navier-Stokes equations. The authors’ main focus is on the evolution of an isolated mass with and without surface tension on the free interface. Using the Lagrange and Hanzawa transformations, local well-posedness in the Hölder and Sobolev–Slobodeckij on L2 spaces is proven as well. Global well-posedness for small data is also proven, as is the well-posedness and stability of the motion of two phase fluid in a bounded domain. Motion of a Drop in an Incompressible Fluid will appeal to researchers and graduate students working in the fields of mathematical hydrodynamics, the analysis of partial differential equations, and related topics.
Book Synopsis Elementary Fluid Dynamics by : D. J. Acheson
Download or read book Elementary Fluid Dynamics written by D. J. Acheson and published by Clarendon Press. This book was released on 1990-03-15 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics, and will be suitable for all undergraduates coming to the subject for the first time. Prerequisites are few: a basic knowledge of vector calculus, complex analysis, and simple methods for solving differential equations are all that is needed. Throughout, numerous exercises (with hints and answers) illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundary layer flow, and instability in flow) and frequent references to experiments and the history of the subject, ensures that this book provides a comprehensive and absorbing introduction to the mathematical study of fluid behaviour.
Book Synopsis Mathematical and Physical Papers: Hydrodynamics and general dynamics by : William Thomson Baron Kelvin
Download or read book Mathematical and Physical Papers: Hydrodynamics and general dynamics written by William Thomson Baron Kelvin and published by . This book was released on 1910 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Incompressible Fluid Dynamics by : J.N. Hunt
Download or read book Incompressible Fluid Dynamics written by J.N. Hunt and published by . This book was released on 1964 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collected Papers in Honor of Yoshihiro Shibata by : Tohru Ozawa
Download or read book Collected Papers in Honor of Yoshihiro Shibata written by Tohru Ozawa and published by Springer Nature. This book was released on 2023-01-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Yoshihiro Shibata has made many significant contributions to the area of mathematical fluid mechanics over the course of his illustrious career, including landmark work on the Navier-Stokes equations. The papers collected here — on the occasion of his 70th birthday — are written by world-renowned researchers and celebrate his decades of outstanding achievements.
Book Synopsis Recent Topics on Mathematical Theory of Viscous Incompressible Fluid by : Hideo Kozono
Download or read book Recent Topics on Mathematical Theory of Viscous Incompressible Fluid written by Hideo Kozono and published by . This book was released on 1998 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Viscous Flow written by Hilary Ockendon and published by Cambridge University Press. This book was released on 1995-01-27 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.
Book Synopsis Numerical Solutions of the Navier-Stokes Equations for the Steady Viscous Incompressible Flow Around a Rotating Circular Cylinder by : Vithalbhai Ambalal Patel
Download or read book Numerical Solutions of the Navier-Stokes Equations for the Steady Viscous Incompressible Flow Around a Rotating Circular Cylinder written by Vithalbhai Ambalal Patel and published by . This book was released on 1970 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Treatise on Geophysics, Volume 8 by : Peter L. Olson
Download or read book Treatise on Geophysics, Volume 8 written by Peter L. Olson and published by Elsevier. This book was released on 2010-05-18 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treaties on Geophysics: Core Dynamics, Volume 8, provides a comprehensive review of the current state of understanding of core dynamics. The book begins by analyzing a subject of long-standing and on-going controversy: the gross energetics of the core. It then explains the important elements of dynamo theory; actual fluid motions in the core; the basic physical principles involved in thermochemical convection in the core and the basic equations governing the convection; and turbulence and the small-scale dynamics of the core. This is followed by discussions of the state of knowledge on rotation-induced core flows; the use of first-principles numerical models of self-sustaining fluid dynamos; and the behavior of polarity reversals in numerical dynamo models. The remaining chapters cover the various roles the inner core plays in core dynamics and the geodynamo; experiments that have shaped knowledge about the flows in the core that produce the geodynamo and govern its evolution; and ways the mantle can affect core dynamics, and corresponding ways the core can affect the mantle. Self-contained volume starts with an overview of the subject then explores each topic with in depth detail Extensive reference lists and cross references with other volumes to facilitate further research Full-color figures and tables support the text and aid in understanding Content suited for both the expert and non-expert
Book Synopsis Stability of Fluid Motions I by : D. D. Joseph
Download or read book Stability of Fluid Motions I written by D. D. Joseph and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown"whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Problems Relating to the Steady Motion of Viscous Incompressible Fluid Past a Sphere by : Joseph Desmond Hudson
Download or read book Problems Relating to the Steady Motion of Viscous Incompressible Fluid Past a Sphere written by Joseph Desmond Hudson and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1966 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Singular Vortex Patches, I: Well-Posedness Issues by : Tarek M. Elgindi
Download or read book On Singular Vortex Patches, I: Well-Posedness Issues written by Tarek M. Elgindi and published by American Mathematical Society. This book was released on 2023-03-09 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
