Perfect Incompressible Fluids
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Perfect Incompressible Fluids
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Author : Jean-Yves Chemin
language : en
Publisher: Oxford University Press
Release Date : 1998
Perfect Incompressible Fluids written by Jean-Yves Chemin 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 1998 with Mathematics categories.
The aim of this book is to offer a direct and self-contained access to some of the new or recent results in fluid mechanics. It gives an authoritative account on the theory of the Euler equations describing a perfect incompressible fluid. First of all, the text derives the Euler equations from a variational principle, and recalls the relations on vorticity and pressure. Various weak formulations are proposed. The book then presents the tools of analysis necessary for their study: Littlewood-Paley theory, action of Fourier multipliers on L spaces, and partial differential calculus. These techniques are then used to prove various recent results concerning vortext patches or sheets, essentially the persistence of the smoothness of the boundary of a vortex patch, even if that smoothness allows singular points, as well as the existence of weak solutions of the vorticity sheet type. The text also presents properties of microlocal (analytic or Gevrey) regularity of the solutions of Euler equations, and provides links of such properties to the smoothness in time of the flow of the solution vector field.
Thermofluids
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Author : Michael Horsley
language : en
Publisher: CRC Press
Release Date : 1996-12-07
Thermofluids written by Michael Horsley and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-07 with Technology & Engineering categories.
The two associated subjects of thermodynamics and fluid mechanics are combined in this book to provide the reader with an easy-to-follow text which emphasizes the essential coherence of the material.
2024 25 Ssc Je Mechanical Engineering Solved
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Author : YCT Expert Team
language : en
Publisher: YOUTH COMPETITION TIMES
Release Date :
2024 25 Ssc Je Mechanical Engineering Solved written by YCT Expert Team and has been published by YOUTH COMPETITION TIMES this book supported file pdf, txt, epub, kindle and other format this book has been release on with Antiques & Collectibles categories.
2024-25 SSC JE Mechanical Engineering Solved
Ordinary And Stochastic Differential Geometry As A Tool For Mathematical Physics
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Author : Yuri E. Gliklikh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Ordinary And Stochastic Differential Geometry As A Tool For Mathematical Physics written by Yuri E. Gliklikh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics. In particular, during the last decades a new branch of Global Analysis, Stochastic Differential Geometry, was formed to meet the needs of Mathematical Physics. It deals with a lot of various second order differential equations on finite and infinite-dimensional manifolds arising in Physics, and its validity is based on the deep inter-relation between modem Differential Geometry and certain parts of the Theory of Stochastic Processes, discovered not so long ago. The foundation of our topic is presented in the contemporary mathematical literature by a lot of publications devoted to certain parts of the above-mentioned themes and connected with the scope of material of this book. There exist some monographs on Stochastic Differential Equations on Manifolds (e. g. [9,36,38,87]) based on the Stratonovich approach. In [7] there is a detailed description of It6 equations on manifolds in Belopolskaya-Dalecky form. Nelson's book [94] deals with Stochastic Mechanics and mean derivatives on Riemannian Manifolds. The books and survey papers on the Lagrange approach to Hydrodynamics [2,31,73,88], etc. , give good presentations of the use of infinite-dimensional ordinary differential geometry in ideal hydrodynamics. We should also refer here to [89,102], to the previous books by the author [53,64], and to many others.
Theory Of Jets In Ideal Fluids
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Author : M. I. Gurevich
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Theory Of Jets In Ideal Fluids written by M. I. Gurevich and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Technology & Engineering categories.
Theory of Jets in Ideal Fluids focuses on the use of hydrodynamics in the theory of jets in ideal fluids. The publication first offers information on the introduction to the theory of plane and steady jet flows and flow from a vessel. Discussions focus on flow from a rectangular vessel with an orifice at a corner; vessel with a funnel-shaped bottom and Borda's nozzle; flow from the opening between two flat plates; and Kirchhoff's method. The text then examines infinite flow past a polygonal obstacle, flow around curvilinear obstacles, and flow around a body at small cavitation number. Topics include cavitating flow around a circular cylinder; cavitating flow around a thin profile at an arbitrary angle of attack; cavitating flow around a flat plate; Villat's integro-differential equation and the existence and uniqueness of the solution; and flow past a plate with the separation from its upper surface. The book takes a look at the flow of a heavy fluid and the effects of surface tension, axisymmetric flow, jet flow of compressible fluid, and unsteady flows. The publication is a dependable reference for hydrodynamicists wanting to explore the theory of jets in ideal fluids.
An Introduction To Advanced Fluid Dynamics And Fluvial Processes
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Author : B. S. Mazumder
language : en
Publisher: CRC Press
Release Date : 2023-09-21
An Introduction To Advanced Fluid Dynamics And Fluvial Processes written by B. S. Mazumder and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-21 with Technology & Engineering categories.
This book covers fluid dynamics and fluvial processes, including basics applicable to open channel flow followed by turbulence characteristics related to sediment-laden flows. It presents well-balanced exposure of physical concepts, mathematical treatments, validation of the models/theories, and experimentations using modern electronic gadgets within the scope. In addition, it explores fluid motions, sediment-fluid interactions, erosion and scouring, sediment suspension and bed load transportation, image processing for particle dynamics, and various problems of applied fluid mechanics in natural sciences. Features: Gives comprehensive treatment on fluid dynamics and fluvial process from fundamentals to advanced level applications in one volume. Presents knowledge on sediment transport and its interaction with turbulence. Covers recent methodologies in the study of turbulent flow theories with verification of laboratory data collected by ADV, PIV, URS, LDA, and imaging techniques, and field data collected by MMB and S4 current meters. Explores the latest empirical formulae for the estimations of bed load, saltation, suspension, and bedform migration. Contains theory to experimentations with field practices with comprehensive explanations and illustrations. This book is aimed at senior undergraduates, engineering and applied science postgraduate and research students working in mechanical, civil, geo-sciences, and chemical engineering departments pertaining to fluid mechanics, hydraulics, sediment transportation, and turbulent flows.
Fluid Mechanics And The Sph Method
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Author : Damien Violeau
language : en
Publisher: Oxford University Press
Release Date : 2012-05-03
Fluid Mechanics And The Sph Method written by Damien Violeau 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 2012-05-03 with Science categories.
This book presents the SPH method for fluid modelling from a theoretical and applied viewpoint. It explains the foundations of the method, from physical principles, and will help researchers, students, and engineers to understand how the method should be used and why it works well.
Mathematical And Physical Papers
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Author : William Thomson Baron Kelvin
language : en
Publisher:
Release Date : 1882
Mathematical And Physical Papers written by William Thomson Baron Kelvin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1882 with Mathematics categories.
Global Analysis In Mathematical Physics
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Author : Yuri Gliklikh
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Global Analysis In Mathematical Physics written by Yuri Gliklikh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh Univer sity Press in 1989. For its English edition, the book has been substantially revised and expanded. In particular, new material has been added to Sections 19 and 20. I am grateful to Viktor L. Ginzburg for his hard work on the transla tion and for writing Appendix F, and to Tomasz Zastawniak for his numerous suggestions. My special thanks go to the referee for his valuable remarks on the theory of stochastic processes. Finally, I would like to acknowledge the support of the AMS fSU Aid Fund and the International Science Foundation (Grant NZBOOO), which made possible my work on some of the new results included in the English edition of the book. Voronezh, Russia Yuri Gliklikh September, 1995 Preface to the Russian Edition The present book is apparently the first in monographic literature in which a common treatment is given to three areas of global analysis previously consid ered quite distant from each other, namely, differential geometry and classical mechanics, stochastic differential geometry and statistical and quantum me chanics, and infinite-dimensional differential geometry of groups of diffeomor phisms and hydrodynamics. The unification of these topics under the cover of one book appears, however, quite natural, since the exposition is based on a geometrically invariant form of the Newton equation and its analogs taken as a fundamental law of motion.
Global Analysis In Mathematical Physics
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Author : I︠U︡. E. Gliklikh
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Global Analysis In Mathematical Physics written by I︠U︡. E. Gliklikh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. The unification of these topics is made possible by considering the Newton equation or its natural generalizations and analogues as a fundamental equation of motion. New general geometric and stochastic methods of investigation are developed, and new results on existence, uniqueness, and qualitative behavior of solutions are obtained.