Two Problems In Slow Viscous Flow

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Slow Viscous Flow

Author : William E. Langlois
Publisher : Springer Science & Business Media
ISBN 13 : 3319038354
Total Pages : 333 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Slow Viscous Flow by : William E. Langlois

Download or read book Slow Viscous Flow written by William E. Langlois and published by Springer Science & Business Media. This book was released on 2014-04-15 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo wrote, “Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics”; replace “Mechanics” by “Fluid mechanics” and here we are. - From the Preface to the Second Edition Although the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problems where viscous effects are the dominant physical phenomena. Much progress has occurred in the half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen to importance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagnetic effects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate these phenomena into the theory. The book originally described by Prof. Langlois as "a monograph on theoretical hydrodynamics, written in the language of applied mathematics" offers much new coverage including the second principle of thermodynamics, the Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets, finite element methods, Wannier flow, corner eddies, and analysis of the Stokes operator.

Slow Viscous Flows: Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions (With Cd-rom)

Author : P N Shankar
Publisher : World Scientific
ISBN 13 : 1911298437
Total Pages : 598 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Slow Viscous Flows: Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions (With Cd-rom) by : P N Shankar

Download or read book Slow Viscous Flows: Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions (With Cd-rom) written by P N Shankar and published by World Scientific. This book was released on 2007-09-28 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a unified and systematic account of internal, external and unsteady slow viscous flows, including the latest advances of the last decade, some of which are due to the author. The book shows how the method of eigenfunctions, in conjunction with least squares, can be used to solve problems of low Reynolds number flows, including three-dimensional internal and unsteady flows, which until recently were considered intractable. Although the methods used are quantitative, much stress is laid on understanding the qualitative nature of these intriguing flows. A secondary purpose of the book is to explain how the complex eigenfunction method can be used to solve problems in science and engineering.Although primarily aimed at graduate students, academics and research engineers in the areas of fluid mechanics and applied mathematics, care has been taken, through the use of numerous diagrams and much discussion, to explain to the non-specialist the qualitative features of these complex flows./a

Slow Viscous Flows

Author : P. N. Shankar
Publisher : Imperial College Press
ISBN 13 : 1860947808
Total Pages : 598 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Slow Viscous Flows by : P. N. Shankar

Download or read book Slow Viscous Flows written by P. N. Shankar and published by Imperial College Press. This book was released on 2007 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an account of internal, external and unsteady slow viscous flows, including the advances. This book shows how the method of eigenfunctions, in conjunction with least squares, can be used to solve problems of low Reynolds number flows, including three-dimensional internal and unsteady flows.

Viscous Flow

Author : Hilary Ockendon
Publisher : Cambridge University Press
ISBN 13 : 9780521458818
Total Pages : 130 pages
Book Rating : 4.4/5 (588 download)

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Book Synopsis Viscous Flow by : Hilary Ockendon

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.

Partial Differential Equations in Mechanics 2

Author : A.P.S. Selvadurai
Publisher : Springer Science & Business Media
ISBN 13 : 3662092050
Total Pages : 713 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Partial Differential Equations in Mechanics 2 by : A.P.S. Selvadurai

Download or read book Partial Differential Equations in Mechanics 2 written by A.P.S. Selvadurai and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.

The Centenary of a Paper on Slow Viscous Flow by the Physicist H.A. Lorentz

Author : H.K. Kuiken
Publisher : Springer
ISBN 13 : 9400902255
Total Pages : 308 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis The Centenary of a Paper on Slow Viscous Flow by the Physicist H.A. Lorentz by : H.K. Kuiken

Download or read book The Centenary of a Paper on Slow Viscous Flow by the Physicist H.A. Lorentz written by H.K. Kuiken and published by Springer. This book was released on 2013-12-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the appearance one hundred years ago of a paper on slow viscous flow, written by the physicist and Nobel laureate H.A. Lorentz. Although Lorentz is not remembered by most as a fluid dynamicist - indeed, his fame rests primarily on his contributions to the theory of electrons, electrodynamics and early developments in relativity - his fluid-mechanics paper of 1896 contains many ideas which have remained important in fluid mechanics to this very day. In that short paper he put forward his reciprocal theorem (an integral-equation formulation which is used extensively nowadays in boundary-element calculations) and his reflection theorem. Furthermore, he must be credited with the invention of the stokeslet. The contributors to this book have all made their mark in slow viscous flow. Each of these authors highlights further developments of one of Lorentz's ideas. There are applications in sintering, micropolar fluids, bubbles, locomotion of microorganisms, non-Newtonian fluids, drag calculations, etc. Other contributions are of a more theoretical nature, such as the flow due to an array of stokeslets, the interaction between a drop and a particle, the interaction of a particle and a vortex, the reflection theorem for other geometries, a disk moving along a wall and a higher-order investigation. Lorentz's paper of 1896 is also included in an English translation. An introductory paper puts Lorentz's work in fluid mechanics in a wider perspective. His other great venture in fluid mechanics - his theoretical modelling on the enclosure of the Zuyderzee - is also discussed. The introduction also presents a short description of Lorentz's life and times. It was Albert Einstein who said of Lorentz that he was `...the greatest and noblest man of our time'.

Report - Naval Ship Research and Development Center

Author : David W. Taylor Naval Ship Research and Development Center
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (25 download)

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Book Synopsis Report - Naval Ship Research and Development Center by : David W. Taylor Naval Ship Research and Development Center

Download or read book Report - Naval Ship Research and Development Center written by David W. Taylor Naval Ship Research and Development Center and published by . This book was released on 1961 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Boundary Element Method, Volume 1

Author : L. C. Wrobel
Publisher : John Wiley & Sons
ISBN 13 : 9780471720393
Total Pages : 480 pages
Book Rating : 4.7/5 (23 download)

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Book Synopsis The Boundary Element Method, Volume 1 by : L. C. Wrobel

Download or read book The Boundary Element Method, Volume 1 written by L. C. Wrobel and published by John Wiley & Sons. This book was released on 2002-04-22 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 896 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods for Geodynamics

Author : Alik Ismail-Zadeh
Publisher : Cambridge University Press
ISBN 13 : 1139489356
Total Pages : 333 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Computational Methods for Geodynamics by : Alik Ismail-Zadeh

Download or read book Computational Methods for Geodynamics written by Alik Ismail-Zadeh and published by Cambridge University Press. This book was released on 2010-07-22 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as both a textbook and a handy reference, this text deliberately avoids complex mathematics assuming only basic familiarity with geodynamic theory and calculus. Here, the authors have brought together the key numerical techniques for geodynamic modeling, demonstrations of how to solve problems including lithospheric deformation, mantle convection and the geodynamo. Building from a discussion of the fundamental principles of mathematical and numerical modeling, the text moves into critical examinations of each of the different techniques before concluding with a detailed analysis of specific geodynamic applications. Key differences between methods and their respective limitations are also discussed - showing readers when and how to apply a particular method in order to produce the most accurate results. This is an essential text for advanced courses on numerical and computational modeling in geodynamics and geophysics, and an invaluable resource for researchers looking to master cutting-edge techniques. Links to supplementary computer codes are available online.

Computational Fluid and Solid Mechanics 2003

Author : K.J Bathe
Publisher : Elsevier
ISBN 13 : 008052947X
Total Pages : 2485 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Fluid and Solid Mechanics 2003 by : K.J Bathe

Download or read book Computational Fluid and Solid Mechanics 2003 written by K.J Bathe and published by Elsevier. This book was released on 2003-06-02 with total page 2485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics.Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: - The automatic solution of mathematical models - Effective numerical schemes for fluid flows - The development of an effective mesh-free numerical solution method - The development of numerical procedures for multiphysics problems - The development of numerical procedures for multiscale problems - The modelling of uncertainties - The analysis of complete life cycles of systems - Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features - Bridges the gap between academic researchers and practitioners in industry - Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda - Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Boundary Element Methods In Engineering And Sciences

Author : M H Ferri Aliabadi
Publisher : World Scientific
ISBN 13 : 1908977973
Total Pages : 412 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Boundary Element Methods In Engineering And Sciences by : M H Ferri Aliabadi

Download or read book Boundary Element Methods In Engineering And Sciences written by M H Ferri Aliabadi and published by World Scientific. This book was released on 2010-11-25 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique which has enjoyed increasing popularity over the past two decades. It is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modeling effort.This book is designed to provide readers with a comprehensive and up-to-date account of the method and its application to problems in engineering and science. Each chapter provides a brief description of historical development, followed by basic theory, derivation and examples.

Journal of the Physical Society of Japan

Author :
Publisher :
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.3/5 (47 download)

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Book Synopsis Journal of the Physical Society of Japan by :

Download or read book Journal of the Physical Society of Japan written by and published by . This book was released on 1990 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Geology

Author : David D. Pollard
Publisher : Cambridge University Press
ISBN 13 : 1108661459
Total Pages : 454 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Structural Geology by : David D. Pollard

Download or read book Structural Geology written by David D. Pollard and published by Cambridge University Press. This book was released on 2020-07-23 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tackling structural geology problems today requires a quantitative understanding of the underlying physical principles, and the ability to apply mathematical models to deformation processes within the Earth. Accessible yet rigorous, this unique textbook demonstrates how to approach structural geology quantitatively using calculus and mechanics, and prepares students to interface with professional geophysicists and engineers who appreciate and utilize the same tools and computational methods to solve multidisciplinary problems. Clearly explained methods are used throughout the book to quantify field data, set up mathematical models for the formation of structures, and compare model results to field observations. An extensive online package of coordinated laboratory exercises enables students to consolidate their learning and put it into practice by analyzing structural data and building insightful models. Designed for single-semester undergraduate courses, this pioneering text prepares students for graduates studies and careers as professional geoscientists.

Quantitative Structural Geology

Author : David D. Pollard
Publisher : Cambridge University Press
ISBN 13 : 1107035066
Total Pages : 453 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quantitative Structural Geology by : David D. Pollard

Download or read book Quantitative Structural Geology written by David D. Pollard and published by Cambridge University Press. This book was released on 2020-07-23 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering single-semester undergraduate textbook that balances descriptive and quantitative analysis of geological structures.

Solving Problems in Multiply Connected Domains

Author : Darren Crowdy
Publisher : SIAM
ISBN 13 : 1611976154
Total Pages : 457 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Solving Problems in Multiply Connected Domains by : Darren Crowdy

Download or read book Solving Problems in Multiply Connected Domains written by Darren Crowdy and published by SIAM. This book was released on 2020-04-20 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenever two or more objects or entities—be they bubbles, vortices, black holes, magnets, colloidal particles, microorganisms, swimming bacteria, Brownian random walkers, airfoils, turbine blades, electrified drops, magnetized particles, dislocations, cracks, or heterogeneities in an elastic solid—interact in some ambient medium, they make holes in that medium. Such holey regions with interacting entities are called multiply connected. This book describes a novel mathematical framework for solving problems in two-dimensional, multiply connected regions. The framework is built on a central theoretical concept: the prime function, whose significance for the applied sciences, especially for solving problems in multiply connected domains, has been missed until recent work by the author. This monograph is a one-of-a-kind treatise on the prime function associated with multiply connected domains and how to use it in applications. The book contains many results familiar in the simply connected, or single-entity, case that are generalized naturally to any number of entities, in many instances for the first time. Solving Problems in Multiply Connected Domains is aimed at applied and pure mathematicians, engineers, physicists, and other natural scientists; the framework it describes finds application in a diverse array of contexts. The book provides a rich source of project material for undergraduate and graduate courses in the applied sciences and could serve as a complement to standard texts on advanced calculus, potential theory, partial differential equations and complex analysis, and as a supplement to texts on applied mathematical methods in engineering and science.