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Author : Edward Young Harper
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (257 download)
Download or read book Two Problems in Slow Viscous Flow written by Edward Young Harper and published by . This book was released on 1968 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bohou Xu
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (912 download)
Download or read book Report written by Bohou Xu and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William E. Langlois
Publisher : Springer Science & Business Media
ISBN 13 : 3319038354
Total Pages : 333 pages
Book Rating : 4.3/5 (19 download)
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.
Author : P N Shankar
Publisher : World Scientific
ISBN 13 : 1911298437
Total Pages : 600 pages
Book Rating : 4.9/5 (112 download)
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 600 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
Author : P. N. Shankar
Publisher : Imperial College Press
ISBN 13 : 1860947808
Total Pages : 598 pages
Book Rating : 4.8/5 (69 download)
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.
Author : W. E. Langlois
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)
Download or read book Slow Viscous Flow written by W. E. Langlois and published by . This book was released on 1964 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hilary Ockendon
Publisher : Cambridge University Press
ISBN 13 : 9780521458818
Total Pages : 130 pages
Book Rating : 4.4/5 (588 download)
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.
Author : H.K. Kuiken
Publisher : Springer
ISBN 13 : 9400902255
Total Pages : 308 pages
Book Rating : 4.4/5 (9 download)
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'.
Author : Richard Skalak
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (318 download)
Download or read book Extensions of Extremum Principles for Slow Viscous Flows written by Richard Skalak and published by . This book was released on 1969 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several generalizations of theorems of the types originally stated by Helmholtz concerning the dissipation of energy in slow viscous flow have been given recently by Keller, Rubenfeld and Molyneux. These generalizations included cases in which the fluid contains one or more solid bodies and drops of another liquid assuming the drops do not change shape. Some further extensions are given which allow for drops which may be deformed by the flow and include the effect of surface tension. The admissible boundary conditions have also been extended and particular theorems applicable to infinite domains, spatially periodic flows and to flows in infinite cylindrical pipes are derived. Uniqueness theorems are also proved. (Author).
Author :
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (227 download)
Download or read book ON SLOW VISCOUS FLOW. written by and published by . This book was released on 1953 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new linearization is considered for the problem of the flow of a viscous fluid past an obstacle at low Reynolds number. The linearization results from the conjecture that there may exist a function c(epsilon), 0 less than c less than 1, such that the solution of Delta Delta Chi = Chi sub y Delta Chi sub x - Chi sub x Delta Chi sub y under suitable boundary conditions can be replaced by a solution of Delta Delta Chi = c sub 1 Delta Chi sub x with c sub 1 replaced by c(epsilon), where c depends only upon epsilon and Chi denotes the stream function. This linearization is discussed for the problems of the flow past a long flat plate, a cylinder, a sphere, and a finite flat plate as well as for the flow in wedge-shaped region. For these problems a successful prediction of the macroscopic feature of the flow is obtained by the linearized theory with c = 0.43. Equally successful results are anticipated for other similar flows. No conclusion can be drawn for more complicated flows, and it is not clear whether the range of applicability can be increased by finding a c(epsilon) for larger epsilon than those considered.
Author : Xu Bohou
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (472 download)
Download or read book Some Problems in Slow Viscous Flow written by Xu Bohou and published by . This book was released on 1985 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rose Mary Canning
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (24 download)
Download or read book The Slow Flow of a Viscous Fluid Between Two Almost Parallel Surfaces written by Rose Mary Canning and published by . This book was released on 1948 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Prof. Dr. G. Hämmerlin
Publisher : Birkhäuser
ISBN 13 : 3034854609
Total Pages : 254 pages
Book Rating : 4.0/5 (348 download)
Download or read book Improperly Posed Problems and Their Numerical Treatment written by Prof. Dr. G. Hämmerlin and published by Birkhäuser. This book was released on 2013-11-21 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whilst improperly posed problems appear in several branches of applied and pure mathematics, this conference concentrated mainly on the practical treatment of ill posedness. The participants came from 12 countries. The interchange of ideas reflected the spectrum of questions arising in connection with the subject of the conference, where currently progresses in research are made. This volume contains 17 papers presented at the con ference. Focal points in the programme were: Problems of regularisation, parameter identification, free boundary and inverse problems in differential equations and inte gral equations of the first kind. Problems, which appear in science, in technical fields and in medicine are dis cussed as well as general operator equations. In a jOint discussion, several open problems have been worked out which are collected at the end of the volume. The editor's thanks go to all contributors and parti cipants who made the conference a success; to the manage ment of the institute with its unique atmosphere; to the Birkhauser Verlag for the possibility to publish the vo lume in the well-known ISNM series; to Dr. P. Jochum (Mlin chen) for assistance in organization and to Mrs. Chr. Rogg (Augsburg) for her excellent typing of several manuscripts.
Author : A.P.S. Selvadurai
Publisher : Springer Science & Business Media
ISBN 13 : 3662092050
Total Pages : 713 pages
Book Rating : 4.6/5 (62 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (227 download)
Download or read book Particular Solutions for Slow Viscous Flows Close to Solid Body Rotation. Analytic Discussion and Examples written by and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particular solutions for slow viscous flows close to solid body rotation are found by product hypotheses which lead to two different eigenvalue problems. The adjoint equations and orthogonality conditions are derived. For high values of the Ekman number some of the particular solutions can be interpreted as the contribution of the Ekman layer. A simplified differential equation is derived for the interior of the flow field; it is valid if the Ekman number is large. The effect of the Ekman layer is taken into account by modified boundary conditions. For a problem studied by Stewartson, the solution is expressed in terms of both kinds of particular solutions. Also discussed are flow patterns in which the formation of striation is inhibited. Further examples show flow fields with perturbation introduced along cylindrical boundaries. Examples using the complete solutions are given; certain discontinuities of the schematic flow fields are smoothed out. Also discussed is the relation between these solutions and a solution with different boundary conditions due to Morrison and Morgan. (Author).
Author : David W. Taylor Naval Ship Research and Development Center
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (25 download)
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:
Author : L. C. Wrobel
Publisher : John Wiley & Sons
ISBN 13 : 9780471720393
Total Pages : 480 pages
Book Rating : 4.7/5 (23 download)
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.
