Viscous Flows

Author : Hilary Ockendon,J. R. Ockendon
Publisher : Cambridge University Press
Page : 130 pages
File Size : 41,7 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 : 47,8 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 : Demetri P. Telionis
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 51,6 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.

Author : P N Shankar
Publisher : World Scientific
Page : 600 pages
File Size : 53,5 Mb
Release : 2007-09-28
Category : Science
ISBN : 9781911298434

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

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 : Frank M. White
Publisher : Unknown
Page : 614 pages
File Size : 46,5 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 : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 50,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662104477

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Theory and Applications of Viscous Fluid Flows by Radyadour Kh. Zeytounian Pdf

This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.

Author : C. Pozrikidis
Publisher : Cambridge University Press
Page : 276 pages
File Size : 51,8 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 : William Layton
Publisher : SIAM
Page : 220 pages
File Size : 48,6 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780898718904

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Introduction to the Numerical Analysis of Incompressible Viscous Flows by William Layton Pdf

Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.

Author : Howard Brenner
Publisher : Butterworth-Heinemann
Page : 625 pages
File Size : 48,6 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483289526

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Viscous Flows by Howard Brenner Pdf

Representing a unique approach to the study of fluid flows, Viscous Flows demonstrates the utility of theoretical concepts and solutions for interpreting and predicting fluid flow in practical applications. By critically comparing all relevant classes of theoretical solutions with experimental data and/or general numerical solutions, it focuses on the range of validity of theoretical expressions rather than on their intrinsic character. This book features extensive use of dimensional analysis on both models and variables, and extensive development of theoretically based correlating equations. The range of applicability of most theoretical solutions is shown to be quite limited; however, in combination they are demonstrated to be more reliable than purely empirical expressions, particularly in novel applications.

Author : Ahmer Mehmood
Publisher : Springer
Page : 193 pages
File Size : 54,9 Mb
Release : 2017-04-22
Category : Technology & Engineering
ISBN : 9783319554327

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Viscous Flows by Ahmer Mehmood Pdf

This authored monograph provides a detailed discussion of the boundary layer flow due to a moving plate. The topical focus lies on the 2- and 3-dimensional case, considering axially symmetric and unsteady flows. The author derives a criterion for the self-similar and non-similar flow, and the turbulent flow due to a stretching or shrinking sheet is also discussed. The target audience primarily comprises research experts in the field of boundary layer flow, but the book will also be beneficial for graduate students.

Author : P. N. Shankar
Publisher : Imperial College Press
Page : 598 pages
File Size : 55,6 Mb
Release : 2007
Category : Science
ISBN : 9781860947803

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Slow Viscous Flows by P. N. Shankar Pdf

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 : Robert A. Brown,Stephen H. Davis
Publisher : Springer Science & Business Media
Page : 122 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461384137

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Free Boundaries in Viscous Flows by Robert A. Brown,Stephen H. Davis Pdf

It is increasingly the case that models of natural phenomena and materials processing systems involve viscous flows with free surfaces. These free boundaries are interfaces of the fluid with either second immiscible fluids or else deformable solid boundaries. The deformation can be due to mechanical displacement or as is the case here, due to phase transformation; the solid can melt or freeze. This volume highlights a broad range of subjects on interfacial phenomena. There is an overview of the mathematical description of viscous free-surface flows, a description of the current understanding of mathematical issues that arise in these models and a discussion of high-order-accuracy boundary-integral methods for the solution of viscous free surface flows. There is the mathematical analysis of particular flows: long-wave instabilities in viscous-film flows, analysis of long-wave instabilities leading to Marangoni convection, and de§ scriptions of the interaction of convection with morphological stability during directional solidification. This book is geared toward anyone with an interest in free-boundary problems, from mathematical analysts to material scientists; it will be useful to applied mathematicians, physicists, and engineers alike.

Author : Rita Meyer-Spasche
Publisher : Birkhäuser
Page : 221 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034887090

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Pattern Formation in Viscous Flows by Rita Meyer-Spasche Pdf

The Taylor-Couette system is one of the most studied examples of fluid flow exhibiting the spontaneous formation of dynamical structures. In this book, the variety of time independent solutions with periodic spatial structure is numerically investigated by solution of the Navier-Stokes equations.

Author : Louis G. Kaufman (II.),Morris Morduchow
Publisher : Unknown
Page : 56 pages
File Size : 45,8 Mb
Release : 1959
Category : One-dimensional flow
ISBN : UOM:39015095297449

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On the Stability of One-dimensional Viscous Flows: Sound Waves and Shock Waves by Louis G. Kaufman (II.),Morris Morduchow Pdf

Author : Kinsuk Giri
Publisher : Springer
Page : 148 pages
File Size : 50,7 Mb
Release : 2014-08-30
Category : Science
ISBN : 9783319095400

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Numerical Simulation of Viscous Shocked Accretion Flows Around Black Holes by Kinsuk Giri Pdf

The work developed in this thesis addresses very important and relevant issues of accretion processes around black holes. Beginning by studying the time variation of the evolution of inviscid accretion discs around black holes and their properties, the author investigates the change of the pattern of the flows when the strength of the shear viscosity is varied and cooling is introduced. He succeeds to verify theoretical predictions of the so called Two Component Advective Flow (TCAF) solution of the accretion problem onto black holes through numerical simulations under different input parameters. TCAF solutions are found to be stable. And thus explanations of spectral and timing properties (including Quasi-Period Oscillations, QPOs) of galactic and extra-galactic black holes based on shocked TCAF models appear to have a firm foundation.