Viscous Flow

Author : Hilary Ockendon,J. R. Ockendon
Publisher : Cambridge University Press
Page : 130 pages
File Size : 42,8 Mb
Release : 1995-01-27
Category : Mathematics
ISBN : 0521458811

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Viscous Flow by Hilary Ockendon,J. R. Ockendon Pdf

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 : William E. Langlois,Michel O. Deville
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 44,6 Mb
Release : 2014-04-15
Category : Mathematics
ISBN : 9783319038353

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Slow Viscous Flow by William E. Langlois,Michel O. Deville Pdf

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 : Frank M. White
Publisher : Unknown
Page : 614 pages
File Size : 46,7 Mb
Release : 1991
Category : Viscous flow
ISBN : 0071009957

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Viscous Fluid Flow by Frank M. White Pdf

Designed for higher level courses in viscous fluid flow, this text presents a comprehensive treatment of the subject. This revision retains the approach and organization for which the first edition has been highly regarded, while bringing the material completely up-to-date. It contains new information on the latest technological advances and includes many more applications, thoroughly updated problems and exercises.

Author : C. Pozrikidis
Publisher : Cambridge University Press
Page : 276 pages
File Size : 44,6 Mb
Release : 1992-02-28
Category : Mathematics
ISBN : 0521406935

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Boundary Integral and Singularity Methods for Linearized Viscous Flow by C. Pozrikidis Pdf

In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.

Author : V.N. Constantinescu
Publisher : Springer Science & Business Media
Page : 495 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461242444

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Laminar Viscous Flow by V.N. Constantinescu Pdf

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 : V.N. Constantinescu
Publisher : Springer
Page : 488 pages
File Size : 52,7 Mb
Release : 2011-10-30
Category : Science
ISBN : 1461242452

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Laminar Viscous Flow by V.N. Constantinescu Pdf

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 : Carlos A. Brebbia
Publisher : Springer Science & Business Media
Page : 195 pages
File Size : 55,8 Mb
Release : 2013-03-12
Category : Science
ISBN : 9783642836831

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Viscous Flow Applications by Carlos A. Brebbia Pdf

The Boundary Element Method has now become a powerful tool of engineering analysis and is routinely applied for the solution of elastostatics and potential problems. More recently research has concentrated on solving a large variety of non-linear and time dependent applications and in particular the method has been developed for viscous fluid flow problems. This book presents the state of the art on the solution of viscous flow using boundary elements and discusses different current approaches which have been validated by numerical experiments. . Chapter 1 of the book presents a brief review of previous work on viscous flow simulation and in particular gives an up-to-date list of the most important BEM references in the field. Chapter 2 reviews the governing equations for general viscous flow, including compressibility. The authors present a compre hensive treatment of the different cases and their formulation in terms of boundary integral equations. This work has been the result of collaboration between Computational Mechanics Institute of Southampton and Massa chusetts Institute of Technology researchers. Chapter 3 describes the gen eralized formulation for unsteady viscous flow problems developed over many years at Georgia Institute of Technology. This formulation has been extensively applied to solve aer09ynamic problems.

Author : Ernst Heinrich Hirschel,Jean Cousteix,Wilhelm Kordulla
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 52,6 Mb
Release : 2013-10-29
Category : Technology & Engineering
ISBN : 9783642413780

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Three-Dimensional Attached Viscous Flow by Ernst Heinrich Hirschel,Jean Cousteix,Wilhelm Kordulla Pdf

Viscous flow is treated usually in the frame of boundary-layer theory and as two-dimensional flow. Books on boundary layers give at most the describing equations for three-dimensional boundary layers, and solutions often only for some special cases. This book provides basic principles and theoretical foundations regarding three-dimensional attached viscous flow. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers. This wider scope is necessary in view of the theoretical and practical problems to be mastered in practice. The topics are weak, strong, and global interaction, the locality principle, properties of three-dimensional viscous flow, thermal surface effects, characteristic properties, wall compatibility conditions, connections between inviscid and viscous flow, flow topology, quasi-one- and two-dimensional flows, laminar-turbulent transition and turbulence. Though the primary flight speed range is that of civil air transport vehicles, flows past other flying vehicles up to hypersonic speeds are also considered. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers, as this wider scope is necessary in view of the theoretical and practical problems that have to be overcome in practice. The specific topics covered include weak, strong, and global interaction; the locality principle; properties of three-dimensional viscous flows; thermal surface effects; characteristic properties; wall compatibility conditions; connections between inviscid and viscous flows; flow topology; quasi-one- and two-dimensional flows; laminar-turbulent transition; and turbulence. Detailed discussions of examples illustrate these topics and the relevant phenomena encountered in three-dimensional viscous flows. The full governing equations, reference-temperature relations for qualitative considerations and estimations of flow properties, and coordinates for fuselages and wings are also provided. Sample problems with solutions allow readers to test their understanding.

Author : Roland Glowinski,Tsorng-Whay Pan
Publisher : Walter de Gruyter GmbH & Co KG
Page : 236 pages
File Size : 50,7 Mb
Release : 2022-09-20
Category : Mathematics
ISBN : 9783110785050

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Numerical Simulation of Incompressible Viscous Flow by Roland Glowinski,Tsorng-Whay Pan Pdf

This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

Author : Peter A. Jumars
Publisher : Cambridge Scholars Publishing
Page : 184 pages
File Size : 46,9 Mb
Release : 2018-11-21
Category : Science
ISBN : 9781527522077

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Viscous Flow Environments in Oceans and Inland Waters by Peter A. Jumars Pdf

This text targets advanced undergraduate students, graduate students and practicing aquatic scientists who seek to understand effects of flow on aquatic processes but have had little prior exposure to fluid dynamics. It provides a self-contained introduction to flows at small scales within oceans and fresh waters in ubiquitous settings, such as boundary layers and dissipative vortices, wherein viscosity suppresses inertial forces. Diagrams, graphs and equations enable reader calculations of viscous flow effects. Detailed derivations include drag forces, solute fluxes and particle encounter rates. Applications described include the effects of shape and orientation on drag in steady and unsteady flows, nutrient uptake by bacteria and phytoplankton, quorum sensing, particle coagulation and suspension feeding. Teachers of biological fluid dynamics will find this book to be a rich, student-tested source of examples and applications of low Reynolds number flows. Its coverage of both bounded and unbounded flows carefully specifies the limits of low Reynolds number behaviors as flow velocities increase, and indicates the consequences when those limits are approached and exceeded.

Author : S. S. Sritharan
Publisher : SIAM
Page : 210 pages
File Size : 45,5 Mb
Release : 1998-01-01
Category : Technology & Engineering
ISBN : 1611971411

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Optimal Control of Viscous Flow by S. S. Sritharan Pdf

Author : H.K. Kuiken
Publisher : Springer
Page : 308 pages
File Size : 48,9 Mb
Release : 2013-12-20
Category : Science
ISBN : 9789400902251

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

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 : Tasos Papanastasiou,Georgios Georgiou,Andreas N. Alexandrou
Publisher : CRC Press
Page : 440 pages
File Size : 49,6 Mb
Release : 2021-03-29
Category : Science
ISBN : 1420050281

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Viscous Fluid Flow by Tasos Papanastasiou,Georgios Georgiou,Andreas N. Alexandrou Pdf

"With the appearance and fast evolution of high performance materials, mechanical, chemical and process engineers cannot perform effectively without fluid processing knowledge. The purpose of this book is to explore the systematic application of basic engineering principles to fluid flows that may occur in fluid processing and related activities. In Viscous Fluid Flow, the authors develop and rationalize the mathematics behind the study of fluid mechanics and examine the flows of Newtonian fluids. Although the material deals with Newtonian fluids, the concepts can be easily generalized to non-Newtonian fluid mechanics. The book contains many examples. Each chapter is accompanied by problems where the chapter theory can be applied to produce characteristic results. Fluid mechanics is a fundamental and essential element of advanced research, even for those working in different areas, because the principles, the equations, the analytical, computational and experimental means, and the purpose are common.

Author : Koichi Kitagawa
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 40,7 Mb
Release : 2013-03-08
Category : Science
ISBN : 9783642840296

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Boundary Element Analysis of Viscous Flow by Koichi Kitagawa Pdf

In recent years, the performance of digital computers has been improved by the rapid development of electronics at remarkable speed. In addition, substantial research has been carried out in developing numerical analysis techniques. Nowadays, a variety of problems in the engineering and scientific fields can be solved by using not only super computers but also personal computers. After the first book titled "Boundary Element" was published by Brebbia in 1978, the boundary element method (BEM) has been recognized as a powerful numerical technique which has some advantages over the finite difference method (FDM) and finite element method (FEM). A great amount of research has been carried out on the applications of BEM to various problems. The numerical analysis of fluid mechanics and heat transfer problems plays a key role in analysing some phenomena and it has become recognized as a new research field called "Computational Fluid Dynamics". In partic ular, the analysis of viscous flow including thermal convection phenomena is one of the most important problems in engineering fields. The FDM and FEM have been generally .applied to solve these problems because of non singularities of governing equations.

Author : Demetri P. Telionis
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642885679

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Unsteady Viscous Flows by Demetri P. Telionis Pdf

Most of the fundamental concepts of unsteady viscous flows have been known since the early part of the century. However, the past decade has seen an unprecedented number of publications in this area. In this monograph I try to connect materials of earlier contributions and synthesize them into a comprehensive entity. One of the main purposes of a monograph, in my opinion, is to fit together in a comprehensive way scattered contributions that provide fragmented information to the readers. The collection of such contributions should be presented in a unified way; continuity of thought and logical sequence of the presentation of ideas and methods are essential. The reader should be able to follow through without having to resort to other references, something that is unavoidable in the case of a research paper or even a review paper. Many of the solutions discussed in the literature address specific practical problems. In fact, in the process of collecting information, I discovered independent lines of investigations, dealing with the same physical problem, but inspired by different practical applications. For example, I found that two groups of investigators have been studying independently the response of a viscous layer to a harmonic external disturbance. One group is con cerned with mass transport and the transport of sediment over the bottom of the ocean, and the other is interested in the aerodynamics of lifting surfaces in harmonically changing environments.