Slow Viscous Flows

Author : William E. Langlois
Publisher : Springer Science & Business Media
ISBN 13 : 3319038354
Total Pages : 324 pages
Book Rating : 4.53/5 ( download)

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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 324 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 : Imperial College Press
ISBN 13 : 1860947808
Total Pages : 598 pages
Book Rating : 4.03/5 ( download)

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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 : 229 pages
Book Rating : 4.68/5 ( download)

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Download or read book Slow Viscous Flow written by W. E. Langlois and published by . This book was released on 1964 with total page 229 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 : 4.11/5 ( download)

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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 : P. N. Shankar
Publisher :
ISBN 13 : 9781860949968
Total Pages : 598 pages
Book Rating : 4.67/5 ( download)

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Download or read book Slow Viscous Flows written by P. N. Shankar and published by . This book was released on 2008 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : H.K. Kuiken
Publisher : Springer
ISBN 13 : 9400902255
Total Pages : 308 pages
Book Rating : 4.51/5 ( download)

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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 : Andrew Fowler
Publisher : Springer Nature
ISBN 13 : 3030425843
Total Pages : 544 pages
Book Rating : 4.45/5 ( download)

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Download or read book Glaciers and Ice Sheets in the Climate System written by Andrew Fowler and published by Springer Nature. This book was released on 2020-10-28 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our realisation of how profoundly glaciers and ice sheets respond to climate change and impact sea level and the environment has propelled their study to the forefront of Earth system science. Aspects of this multidisciplinary endeavour now constitute major areas of research. This book is named after the international summer school held annually in the beautiful alpine village of Karthaus, Northern Italy, and consists of twenty chapters based on lectures from the school. They cover theory, methods, and observations, and introduce readers to essential glaciological topics such as ice-flow dynamics, polar meteorology, mass balance, ice-core analysis, paleoclimatology, remote sensing and geophysical methods, glacial isostatic adjustment, modern and past glacial fluctuations, and ice sheet reconstruction. The chapters were written by thirty-four contributing authors who are leading international authorities in their fields. The book can be used as a graduate-level textbook for a university course, and as a valuable reference guide for practising glaciologists and climate scientists.

Author : V.N. Constantinescu
Publisher : Springer
ISBN 13 : 9781461242451
Total Pages : 488 pages
Book Rating : 4.52/5 ( download)

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Download or read book Laminar Viscous Flow written by V.N. Constantinescu and published by Springer. This book was released on 2011-10-30 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical engineering, an engineering discipline born of the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a series featuring graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consulting editors are listed on the following page of this volume. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. Professor Winer, the consulting editor for tribology, and I are pleased to present this volume of the series: Laminar Viscous Flow, by Professor Constantinescu. The selection of this volume underscores again the interest of the Mechanical Engineering Series to provide our readers with topical monographs as well as graduate texts.

Author : Richard Skalak
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.53/5 ( download)

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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 : Ram Kumar Upadhyay
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.40/5 ( download)

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Download or read book Slow Viscous Flow in a Channel with Sharp Corners written by Ram Kumar Upadhyay and published by . This book was released on 1978 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: