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Slow Viscous Flows


Slow Viscous Flows
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Slow Viscous Flow


Slow Viscous Flow
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Author : William E. Langlois
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-15

Slow Viscous Flow written by William E. Langlois 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 2014-04-15 with Mathematics categories.


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


Slow Viscous Flows
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Author : P. N. Shankar
language : en
Publisher: Imperial College Press
Release Date : 2007

Slow Viscous Flows written by P. N. Shankar and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.


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.



Slow Viscous Flow


Slow Viscous Flow
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Author : W. E. Langlois
language : en
Publisher:
Release Date : 1964

Slow Viscous Flow written by W. E. Langlois and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Viscous flow categories.




Slow Viscous Flows Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions With Cd Rom


Slow Viscous Flows Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions With Cd Rom
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Author : P N Shankar
language : en
Publisher: World Scientific
Release Date : 2007-09-28

Slow Viscous Flows Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions With Cd Rom written by P N Shankar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-28 with Science categories.


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



Partial Differential Equations In Mechanics 2


Partial Differential Equations In Mechanics 2
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Author : A.P.S. Selvadurai
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Partial Differential Equations In Mechanics 2 written by A.P.S. Selvadurai 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 2013-06-29 with Technology & Engineering categories.


"For he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. " [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for wri ting these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universities. The approach is distinctly different to that which would adopted should such a course be given to students in pure mathematics; in this sense, the teaching of partial differential equations within an engineering curriculum should be viewed in the broader perspective of "The Modelling of Problems in Engineering" . An engineering student should be given the opportunity to appreciate how the various combination of balance laws, conservation equa tions, kinematic constraints, constitutive responses, thermodynamic restric tions, etc. , culminates in the development of a partial differential equation, or sets of partial differential equations, with potential for applications to en gineering problems. This ability to distill all the diverse information ab out a physical or mechanical process into partial differential equations is a par ticular attraction of the subject area.



The Centenary Of A Paper On Slow Viscous Flow By The Physicist H A Lorentz


The Centenary Of A Paper On Slow Viscous Flow By The Physicist H A Lorentz
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Author : H.K. Kuiken
language : en
Publisher: Springer
Release Date : 2013-12-20

The Centenary Of A Paper On Slow Viscous Flow By The Physicist H A Lorentz written by H.K. Kuiken and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Science categories.


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'.



Slow Viscous Flows With Free Surfaces


Slow Viscous Flows With Free Surfaces
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Author : S. Richardson (Ph. D.)
language : en
Publisher:
Release Date : 1967

Slow Viscous Flows With Free Surfaces written by S. Richardson (Ph. D.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Viscous flow categories.




Slow Viscous Flows


Slow Viscous Flows
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Author : P. N. Shankar
language : en
Publisher: World Scientific
Release Date : 2007-01-01

Slow Viscous Flows written by P. N. Shankar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Science categories.


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.



Extensions Of Extremum Principles For Slow Viscous Flows


Extensions Of Extremum Principles For Slow Viscous Flows
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Author : Richard Skalak
language : en
Publisher:
Release Date : 1969

Extensions Of Extremum Principles For Slow Viscous Flows written by Richard Skalak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Viscous flow categories.


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).



Slow Viscous Flow


Slow Viscous Flow
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Author : William E. Langlois
language : en
Publisher:
Release Date : 1964

Slow Viscous Flow written by William E. Langlois and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.