An Introduction To The Geometry And Topology Of Fluid Flows

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An Introduction to the Geometry and Topology of Fluid Flows

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Author by : Renzo L. Ricca
Languange Used : English, France, Spanish, Italia and chinese
Page : 347
Isbn : 9401004463
Identifier : 9789401004466
Release : 2012-12-06
Publisher by : Springer Science & Business Media
Category : Science
Total Download : 2706143
Total Read : 3226164
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Description : Read Now An Introduction To The Geometry And Topology Of Fluid Flows by Renzo L. Ricca and you can download with pub, pdf, txt, doc, and more file format with free account. leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. from basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascinating world of geometric and topological fluid mechanics. geodesics and chaotic orbits, magnetic knots and vortex links, continual flows and singularities become alive with more than 160 figures and examples. in the opening article, h. k. moffatt sets the pace, proposing eight outstanding problems for the 21st century. the book goes on to provide concepts and techniques for tackling these and many other interesting open problems.

High-Order Methods for Incompressible Fluid Flow

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Author by : M. O. Deville, P. F. Fischer, E. H. Mund
Languange Used : English, France, Spanish, Italia and chinese
Page : 499
Isbn : 9780521453097
Identifier : 0521453097
Release : 2002-08-15
Publisher by : Cambridge University Press
Category : Mathematics
Total Download : 6921096
Total Read : 5429794
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Description : Read Now High Order Methods For Incompressible Fluid Flow by M. O. Deville, P. F. Fischer, E. H. Mund and you can download with pub, pdf, txt, doc, and more file format with free account. this book covers the development of high-order numerical methods for the simulation of incompressible fluid flows in complex domains.

Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics

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Author by : Tian Ma, Shouhong Wang
Languange Used : English, France, Spanish, Italia and chinese
Page : 234
Isbn : 0821836935
Identifier : 9780821836934
Release : 2005
Publisher by : American Mathematical Soc.
Category : Mathematics
Total Download : 8097777
Total Read : 5157169
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Description : Read Now Geometric Theory Of Incompressible Flows With Applications To Fluid Dynamics by Tian Ma, Shouhong Wang and you can download with pub, pdf, txt, doc, and more file format with free account. this book presents a geometric theory for incompressible flow and its applications to fluid dynamics. the main objective is to study the stability and transitions of the structure of incompressible flows, and applications to fluid dynamics and geophysical fluid dynamics. the development of the theory and its applications has gone well beyond the original motivation, which was the study of oceanic dynamics. one such development is a rigorous theory for boundary layer separation of incompressible fluid flows. this study of incompressible flows has two major parts, which are interconnected. the first is the development of a global geometric theory of divergence-free fields on general two-dimensional compact manifolds. the second is the study of the structure of velocity fields for two-dimensional incompressible fluid flows governed by the navier-stokes equations or the euler equations. motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. in return, the theory is applied to physical problems, with more problems yet to be explored.

Lectures on Topological Fluid Mechanics Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 2 - 10, 2001

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Author by : Mitchell A. Berger, Louis H. Kauffman, Boris Khesin, H. Keith Moffatt, De Witt Sumners
Languange Used : English, France, Spanish, Italia and chinese
Page : 221
Isbn : 3642008364
Identifier : 9783642008368
Release : 2009-05-05
Publisher by : Springer Science & Business Media
Category : Mathematics
Total Download : 1767552
Total Read : 1549904
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Description : Read Now Lectures On Topological Fluid Mechanics by Mitchell A. Berger, Louis H. Kauffman, Boris Khesin, H. Keith Moffatt, De Witt Sumners and you can download with pub, pdf, txt, doc, and more file format with free account. this volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. topics range from fundamental aspects of mathematical fluid mechanics to dna tangles and knotted dnas in sedimentation.

The Mathematical Theory of Turbulence

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Author by : M.M. Stanisic
Languange Used : English, France, Spanish, Italia and chinese
Page : 501
Isbn : 1461238404
Identifier : 9781461238409
Release : 2012-12-06
Publisher by : Springer Science & Business Media
Category : Science
Total Download : 590831
Total Read : 1524380
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Description : Read Now The Mathematical Theory Of Turbulence by M.M. Stanisic and you can download with pub, pdf, txt, doc, and more file format with free account. "i do not think at all that i am able to present here any procedure of investiga tion that was not perceived long ago by all men of talent; and i do not promise at all that you can find here anything_ quite new of this kind. but i shall take pains to state in clear words the pules and ways of investigation which are followed by ahle men, who in most cases are not even conscious of fozlow ing them. although i am free from illusion that i shall fully succeed even in doing this, i still hope that the little that is present here may please some people and have some application afterwards. " bernard bolzano (wissenschaftslehre, 1929) the following book results from aseries of lectures on the mathematical theory of turbulence delivered by the author at the purdue university school of aeronautics and astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. it was my aim in writing this book to give to engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. on account vii i of its refractory nature this subject was categorized as one of seven "elementary catastrophes". the material presented here is designed for a first graduate course in turbulence. the complete course has been taught in one semester.

Handbook of Differential Equations: Evolutionary Equations

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Author by : C.M. Dafermos, Milan Pokorny
Languange Used : English, France, Spanish, Italia and chinese
Page : 608
Isbn : 9780080931975
Identifier : 0080931979
Release : 2008-10-06
Publisher by : Elsevier
Category : Mathematics
Total Download : 6989008
Total Read : 334086
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Description : Read Now Handbook Of Differential Equations Evolutionary Equations by C.M. Dafermos, Milan Pokorny and you can download with pub, pdf, txt, doc, and more file format with free account. the material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. the seven survey articles present different topics in evolutionary pde’s, written by leading experts. - review of new results in the area - continuation of previous volumes in the handbook series covering evolutionary pdes - written by leading experts

Advances in Applied Mechanics

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Author by :
Languange Used : English, France, Spanish, Italia and chinese
Page : 354
Isbn : 9780080474946
Identifier : 0080474942
Release : 2007-04-04
Publisher by : Elsevier
Category : Science
Total Download : 5195423
Total Read : 871564
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Description : Read Now Advances In Applied Mechanics by and you can download with pub, pdf, txt, doc, and more file format with free account. the major developments in the fields of fluid and solid mechanics are scattered throughout an array of technical journals, often making it difficult to find what the real advances are, especially for a researcher new to the field or an individual interested in discovering the state-of-the-art in connection with applications. the advances in applied mechanics book series draws together recent significant advances in various topics in applied mechanics. published since 1948, advances in applied mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics, but also of interest to the many who use the results of investigations in mechanics in various application areas such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering. advances in applied mechanics continues to be a publication of high visibility and impact. review articles are provided by active, leading scientists in the field by invitation of the editors. many of the articles published have become classics within their fields. volume 41 in the series contains articles on topological fluid mechanics, electrospinning, vortex dynamics and self-assembly. covers all fields of the mechanical sciences highlights classical and modern areas of mechanics that are ready for review provides comprehensive coverage of the field in question

MATHKNOW Mathematics, Applied Science and Real Life

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Author by : Alfio Quarteroni
Languange Used : English, France, Spanish, Italia and chinese
Page : 264
Isbn : 9788847011229
Identifier : 8847011221
Release : 2009-12-24
Publisher by : Springer Science & Business Media
Category : Mathematics
Total Download : 3420337
Total Read : 5843522
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Description : Read Now Mathknow by Alfio Quarteroni and you can download with pub, pdf, txt, doc, and more file format with free account. mathematics forms bridges between knowledge, tradition, and contemporary life. the continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. the book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences, such as: ralph abraham, andrew crumey, peter markowich, claudio procesi, clive ruggles, ismail serageldin, amin shokrollahi, tobias wallisser.

Differential Geometry for Physicists

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Author by : Bo-Yu Hou, Bo-Yuan Hou
Languange Used : English, France, Spanish, Italia and chinese
Page : 560
Isbn : 9813105097
Identifier : 9789813105096
Release : 1997-10-31
Publisher by : World Scientific Publishing Company
Category : Mathematics
Total Download : 8209686
Total Read : 5092965
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Description : Read Now Differential Geometry For Physicists by Bo-Yu Hou, Bo-Yuan Hou and you can download with pub, pdf, txt, doc, and more file format with free account. this book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. the first seven chapters focus on local analysis. this part can be used as a fundamental textbook for graduate students of theoretical physics. chapters 8–10 discuss geometry on fibre bundles, which facilitates further reference for researchers. the last four chapters deal with the atiyah-singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics.

Understanding Fluid Flow

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Author by : Grae Worster
Languange Used : English, France, Spanish, Italia and chinese
Page : 120
Isbn : 9780521132893
Identifier : 0521132894
Release : 2009-12-14
Publisher by : Cambridge University Press
Category : Science
Total Download : 3615882
Total Read : 1713282
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Description : Read Now Understanding Fluid Flow by Grae Worster and you can download with pub, pdf, txt, doc, and more file format with free account. understanding fluid flow takes a fresh approach to introducing fluid dynamics, with physical reasoning and mathematical developments inextricably intertwined. the 'dry' fluid dynamics described by potential theory is set within the context of real viscous flows to give fundamental insight into how fluids behave. the book gives a flavor of theoretical, experimental and numerical approaches to analyzing fluid flow, and implicitly develops skills in applied mathematical modeling of physical systems. it is supplemented by movies that are freely downloadable.

Cellular Flows Topological Metamorphoses in Fluid Mechanics

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Author by : Vladimir Shtern
Languange Used : English, France, Spanish, Italia and chinese
Page :
Isbn : 1108418627
Identifier : 9781108418621
Release : 2018-01-31
Publisher by : Cambridge University Press
Category : Technology & Engineering
Total Download : 1227696
Total Read : 4753430
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Description : Read Now Cellular Flows by Vladimir Shtern and you can download with pub, pdf, txt, doc, and more file format with free account. this book discusses flow cells, their emergence, multiplication, coalescence, disappearance, and physical reasons for their metamorphoses.

Mathematical Modeling in Continuum Mechanics

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Author by : Roger Temam, Alain Miranville
Languange Used : English, France, Spanish, Italia and chinese
Page :
Isbn : 9781139443210
Identifier : 1139443216
Release : 2005-05-19
Publisher by : Cambridge University Press
Category : Science
Total Download : 8396040
Total Read : 1693900
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Description : Read Now Mathematical Modeling In Continuum Mechanics by Roger Temam, Alain Miranville and you can download with pub, pdf, txt, doc, and more file format with free account. temam and miranville present core topics within the general themes of fluid and solid mechanics. the brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear schrödinger equation. this second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. these additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.

The Ricci Flow in Riemannian Geometry A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem

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Author by : Ben Andrews, Christopher Hopper
Languange Used : English, France, Spanish, Italia and chinese
Page : 296
Isbn : 3642162851
Identifier : 9783642162855
Release : 2011
Publisher by : Springer Science & Business Media
Category : Mathematics
Total Download : 4754567
Total Read : 3791312
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Description : Read Now The Ricci Flow In Riemannian Geometry by Ben Andrews, Christopher Hopper and you can download with pub, pdf, txt, doc, and more file format with free account. focusing on hamilton's ricci flow, this volume begins with a detailed discussion of the required aspects of differential geometry. the discussion also includes existence and regularity theory, compactness theorems for riemannian manifolds, and much more.

Prediction of Turbulent Flows

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Author by : Geoff Hewitt, Christos Vassilicos
Languange Used : English, France, Spanish, Italia and chinese
Page : 343
Isbn : 9780521838993
Identifier : 0521838991
Release : 2005-06-08
Publisher by : Cambridge University Press
Category : Mathematics
Total Download : 7734150
Total Read : 1033966
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Description : Read Now Prediction Of Turbulent Flows by Geoff Hewitt, Christos Vassilicos and you can download with pub, pdf, txt, doc, and more file format with free account. the prediction of turbulent flows is of paramount importance in the development of complex engineering systems involving flow, heat and mass transfer, and chemical reactions. arising from a programme held at the isaac newton institute in cambridge, this volume reviews the current situation regarding the prediction of such flows through the use of modern computational fluid dynamics techniques, and attempts to address the inherent problem of modelling turbulence. in particular, the current physical understanding of such flows is summarised and the resulting implications for simulation discussed. the volume continues by surveying current approximation methods whilst discussing their applicability to industrial problems. this major work concludes by providing a specific set of guidelines for selecting the most appropriate model for a given problem. unique in its breadth and critical approach, this book will be of immense value to experienced practitioners and researchers, continuing the uk's strong tradition in fluid dynamics.

Mathematical Reviews

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Author by :
Languange Used : English, France, Spanish, Italia and chinese
Page :
Isbn :
Identifier : UVA:X006180633
Release : 2004
Publisher by :
Category : Mathematics
Total Download : 5559253
Total Read : 9306812
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Fundamentals of the Finite Element Method for Heat and Fluid Flow

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Author by : Roland W. Lewis, Perumal Nithiarasu, Kankanhalli N. Seetharamu
Languange Used : English, France, Spanish, Italia and chinese
Page : 356
Isbn : 0470346388
Identifier : 9780470346389
Release : 2008-02-07
Publisher by : John Wiley and Sons
Category : Science
Total Download : 5365008
Total Read : 9399574
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Description : Read Now Fundamentals Of The Finite Element Method For Heat And Fluid Flow by Roland W. Lewis, Perumal Nithiarasu, Kankanhalli N. Seetharamu and you can download with pub, pdf, txt, doc, and more file format with free account. heat transfer is the area of engineering science which describesthe energy transport between material bodies due to a difference intemperature. the three different modes of heat transport areconduction, convection and radiation. in most problems, these threemodes exist simultaneously. however, the significance of thesemodes depends on the problems studied and often, insignificantmodes are neglected. very often books published on computational fluid dynamics usingthe finite element method give very little or no significance tothermal or heat transfer problems. from the research point of view,it is important to explain the handling of various types of heattransfer problems with different types of complex boundaryconditions. problems with slow fluid motion and heat transfer canbe difficult problems to handle. therefore, the complexity ofcombined fluid flow and heat transfer problems should not beunderestimated and should be dealt with carefully. this book: is ideal for teaching senior undergraduates the fundamentals ofhow to use the finite element method to solve heat transfer andfluid dynamics problems explains how to solve various heat transfer problems withdifferent types of boundary conditions uses recent computational methods and codes to handle complexfluid motion and heat transfer problems includes a large number of examples and exercises on heattransfer problems in an era of parallel computing, computational efficiency and easyto handle codes play a major part. bearing all these points inmind, the topics covered on combined flow and heat transfer in thisbook will be an asset for practising engineers and postgraduatestudents. other topics of interest for the heat transfer community,such as heat exchangers and radiation heat transfer, are alsoincluded.