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Interfacial Fluid Dynamics and Transport Processes (Lecture Notes in Physics)
Manufacturer: Springer
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ASIN: 3540405836 |
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The present set of lectures and tutorial reviews deals with various topical aspects related to instabilities of interfacial processes and driven flows from both the theoretical and experimental point of views. New research has been spurred by demands for many applications in material sciences (melting, solidification, electro deposition), biomedical engineering and processing in microgravity environments. This book is intended as both a modern source of reference for researchers in the field as well as an introduction to postgraduate students and non-specialists from related areas.
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- Book review published in Applied Rheology - international journal
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Models for Polymeric and Anisotropic Liquids (Lecture Notes in Physics)
Martin Kröger
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ASIN: 3540262105 |
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Models should be as simple as possible, but no simpler. For the physics of polymeric liquids, whose relevant lengths and time scales are out of reach for first principles calculations, this means that we have to choose a minimum set of sufficiently detailed descriptors such as architecture (linear, ring, branched), connectivity, semiflexibility, stretchability, excluded volume, and hydrodynamic interaction. These 'universal' fluids allow the prediction of material properties under external flow- or electrodynamic fields, the results being expressed in terms of reference units, specific for any particular chosen material. This book provides an introduction to the kinetic theory and computer simulation methods needed to handle these models and to interpret the results. Also included are a number of sample applications and computer codes.
Customer Reviews:
Book review published in Applied Rheology - international journal.......2006-02-14
This new volume of Springer's successful series 'Lecture Notes in Physics' presents a variety of simple models for the structure and dynamics of complex fluids. Special emphasize is paid to the finitely extendable nonlinear elastic (FENE) spring model of polymeric fluids and several of its extensions. Suspensions of elongated particles, liquid crystals and ferrofluids are also treated, however in a rather compressed manner. Most, if not all, of the examples given in the book are taken from the author's collaborative work.
This well-organized book is divided into two parts. Part I introduces and illustrates the different models and discusses their structural and dynamical properties. Part II provides theoretical background on the topic, such as tensor calculus, methods and sample codes, in order to help the reader to do some analytical calculations himself as well as to start his or her own simulations.
Chapter 1 starts with an introduction about the aims and projects of the book and ends with a very valuable section- by-section summary. This summary provides an easy access to the different topics dealt within the book. Moreover, it can be used as a guideline through the book for those readers that are interested only in very specific aspects. The classical FENE dumbbell model of dilute polymer solutions introduced in the beginning of Chapter 2 is the first of 15 models presented in part I of the book. Thereafter, an extension of the FENE dumbbell model to the semi-dilute regime by introducing a mean-field interaction potential is discussed. The second type of models dealt within the book (chapter 3) are FENE chain models of dilute polymer solutions. Hydrodynamic interactions are introduced and some details on their numerical implementation in Brownian dynamics simulations are given. The chapter ends with a summary of the universal ratios of physical quantities which are observed in dilute solutions. While chapters 2 and 3 deal with dilute solutions, chapters 4, 5, and 6 are concerned with concentrated solutions and polymer melts. Taking into account excluded volume interactions, the application of the FENE chain model to concentrated solutions and melts is treated in chapter 4. The nonequilibrium molecular dynamics simulation method which is used to solve the model numerically is mentioned briefly. After discussing the flow curves predicted by this model, the stress-optical rule, its failure and possible nonlinear generalization is presented in some detail. Wormlike chains and micelles, semiflexible and liquid crystalline polymers are all treated in Chapter 5. Allowing for scission and recombinations, the FENE chain model is extended to model wormlike micelles. An approximate calculation of the chain length distribution based on ideal Gaussian chains is one of a few examples in Part I of the book where an analytical approach to these models is shown. Static properties of wormlike chains are first reviewed and later used for an extension of the FENE chain model to semiflexible chains. Further, allowing for inhomogeneous chains which inter-chain attractive interactions, an extension of the FENE model to liquid crystalline polymers is proposed which is able to describe isotropic, nematic as well as smectic phases. The Doi-Edwards model of polymer melts is introduced in Chapter 6 together with a refinement including anisotropic tube renewal. The predictions of viscoelastic and orientational properties are presented and a possible closure approximation is discussed. Their recent improvements on the original Doi-Edwards model like double reptation, convected constrained release are, however, left out. Chapter 7 is devoted to suspensions of rigid particles. In this chapter, not only the Ericksen-Leslie theory of anisotropic suspensions and its possible derivation from a Fokker-Planck equation is discussed, but also models for ferrofluids and liquid crystals are presented in a unifying fashion. Chapter 7 concludes the presentation of different models for complex fluids and their structural and dynamical properties. On the first sight, the following chapter on the relation of different levels of descriptions seems somehow disconnected from the rest of the book. However, a more thorough approach touches on these issues in the derivation of the models presented in the preceeding chapters, the choice of the model parameters, and the relation to more simplified models. This very active field of multi-scale modeling and coarse-grained description is not covered explicitly in this book. Instead, Chapter 8 presents a thermodynamically-guided approach to reduced description proposed and explored by Ötinger and the author in the last years. The author describes this promising approach in a very comprehensive manner, from the theoretical relation between different levels of description to example applications and numerical tests in computer simulations.
Part II of the book is rather technical and provides concepts of equilibrium and nonequilibrium statistical physics which are used to obtain the results discussed in part I. First, a very brief summary of standard and recent Monte Carlo simulation techniques is presented in chapter 9. Then, a chapter on tensor calculus is added, where the notation used in the book is explained in detail. The Fokker-Planck equation, playing a central role in part I, is treated in chapter 11. Finally, chapter 12 provides a very useful collection of sample codes illustrating various models discussed in the first part of the book. The codes written in the MATLAB language are sufficiently transparent in order to demonstrate the numerical implementation even to those readers who are not very familiar with programming issues.
Rather than trying to cover all fluids in the field, 'Models for Polymeric and anisotropic liquids' focuses on some selected models and provides ideas and tools needed to explore new applications. On roughly 200 pages, the author covers a considerable number of different systems and the corresponding models. This nicely written book compactly describes these models which are mostly different extensions of the FENE chain model on various levels of abstraction. Together with the example codes provided for in chapter 12, readers familiar with polymer physics and rheology will benefit form the clear presentation which stimulates one's own investigations.With chapter 8 on a particular approach to reduced description, the reader is also introduced to the current status of one of the very promising developments in this field. Author: Patrick Ilg. Published in Applied Rheology - international journal.
Book Description
Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology, and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four
parts, with the first part providing the physical background of the geophysical models to be analyzed. Part two is devoted to a self contained proof of the existence of weak (or strong) solutions to the imcompressible Navier-Stokes equations. Part three deals with the rapidly rotating
Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analyzed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinated
and those in R2. In Part IV, the stability of Ekman boundary layers and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally
spherical layers are introduced, whose study is completely open.
Book Description
The Navier-Stokes equations were firmly established in the 19th Century as the system of nonlinear partial differential equations which describe the motion of most commonly occurring fluids in air and water, and since that time exact solutions have been sought by scientists. Collectively these solutions allow a clear insight into the behavior of fluids, providing a vehicle for novel mathematical methods and a useful check for computations in fluid dynamics, a field in which theoretical research is now dominated by computational methods. This book draws together exact solutions from widely differing sources and presents them in a coherent manner, in part by classifying solutions via their temporal and geometric constraints. It will prove to be a valuable resource to all who have an interest in the subject of fluid mechanics, and in particular to those who are learning or teaching the subject at the senior undergraduate and graduate levels.
Average customer rating:
- Starts great, ends only acceptable
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Nonlinear Elasticity: Theory and Applications (London Mathematical Society Lecture Note Series)
Manufacturer: Cambridge University Press
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ASIN: 0521796954 |
Book Description
This collection of papers by leading researchers in the field of finite, nonlinear elasticity concerns itself with the behavior of objects that deform when external forces or temperature gradients are applied. This process is extremely important in many industrial settings, such as aerospace and rubber industries. This book covers the various aspects of the subject comprehensively with careful explanations of the basic theories and individual chapters each covering a different research direction. The authors discuss the use of symbolic manipulation software as well as computer algorithm issues. The emphasis is placed firmly on covering modern, recent developments, rather than the very theoretical approach often found. The book will be an excellent reference for both beginners and specialists in engineering, applied mathematics and physics.
Customer Reviews:
Starts great, ends only acceptable.......2003-11-01
This is really a hard book, full of advanced jargon and only useful for upper graduate students and experts. Well, actually it's a bad point but this is not a problem about this book, it is about the developing science of nonlinear elasticity. I suppose the only problem of the book is its non-uniformity: it is written by 5 or more writers with different styles, backgrounds and even notations and symbols.
The book starts with a great review by Ogden on principles of nonlinear elasticity, but ends with some paper-like materials which should have been organized in the form of a book.
Average customer rating:
- Great compilation but proof-read badly
- a reference !
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High-Order Methods for Computational Physics (Lecture Notes in Computational Science and Engineering)
Manufacturer: Springer
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ASIN: 3540658939 |
Book Description
This book considers recent developments in very high-order accurate numerical discretization techniques for partial differential equations. Primary attention is given to the equations of computational fluid dynamics with additional consideration given to the Hamilton-Jacobi, Helmholtz, and elasticity equations. This book should be of particular relevance to those readers with an interest in numerical discretization techniques which generalize to very high- order accuracy. The volume consists of five articles prepared by leading specialists covering the following specific topics: high-order finite volume discretization via essentially non-oscillatory (ENO) and weighted essentially non-oscillatory (WENO) reconstruction,the discontinuous Galerkin method, the Galerkin least-squares method, spectral and $hp$-finite element methods, and the mortar finite element method. Implementational and efficiency issues associated with each method are discussed throughout the book.
Customer Reviews:
Great compilation but proof-read badly.......2001-10-09
This book contains comprehensive collection of high-order methods for PDE, and is of great value as a reference for any one concerned with delicate features of CFD solutions, discontinuities and such. Chapter on ENO and WENO schemes is really good, although obsessed too much with finite volume as opposed to finite difference schemes. First chapter (by Abgral et al) reveals quite obviously that authors are not native speakers of English, and leaves an impression of job in progress and in need of editorial input. Chapters by Henderson and Schwab are good, if somewhat more esoteric. I disagree with previous reviewer regarding chapter by Cockburn. Having seen his published papers, it appears that the chapter is unedited compilation of those works. As a result, equations, figures, and tables are numbered inconsistently, and referrences in the text are given to wrong places. There are more typos than in other chapters. Finally, while the rest of the book is typeset in 12pt font size, most (but not all!!!) of this chapter is in 10pt. Substance is great, but the editorial polish is not there.
a reference !.......2000-02-17
This book constitues an universal reference for people working on higher order methods. The chapter from Bernardo Cockburn is really great.
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Novel Methods in Soft Matter Simulations (Lecture Notes in Physics)
Manufacturer: Springer
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ASIN: 3540209166 |
Book Description
Soft matter and biological systems pose many challenges for theoretical, experimental and computational research. From the computational point of view, these many-body systems cover variations in relevant time and length scales over many orders of magnitude. Indeed, the macroscopic properties of materials and complex fluids are ultimately to be deduced from the dynamics of the microsopic, molecular level. In these lectures, internationally renowned experts offer a tutorial presentation of novel approaches for bridging these space and time scales in realistic simulations. This volume addresses graduate students and nonspecialist researchers from related areas seeking a high-level but accessible introduction to the state of the art in soft matter simulations.
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Lectures on Fluid Dynamics
Roman Jackiw
Manufacturer: Springer
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ASIN: 0387954228 |
Book Description
In these lectures, most of them given at the University of Montreal while he held the Aisenstadt Chair, Roman Jackiw provides a view of fluid dynamics from an entirely novel perspective. He begins by explaining the motivation and reviewing the classical theory, but in a manner different from textbook discussions. Among other topics, he discusses conservation laws and Euler equations, and a method for finding their canonical structure; C. Eckart's Lagrangian and a relativistic generalization for vortex-free motion; nonvanishing vorticity and the Clebsch parameterization for the velocity vector. Jackiw then discusses some specific models for nonrelativistic and relativistic fluid mechanics with more than one spatial dimension, including the Chaplygin gas (whose negative pressure is inversely proportional to density), and the scalar Born-Infeld model. He shows how both the Chaplygin gas and the Born-Infeld model devolve from the parameterization-invariant Nambu-Goto action. As in particle physics, Jackiw shows, fluid mechanics enhanced by supersymmetry, non-Abelian degrees of freedon, and non commuting coordinates. Jackiw discusses the need for a non-Abelian fluid mechanics, and proposes a Lagrangian, which involves a non-Abelian auxiliary field, whose Chern-Simons density should be a total derivative. The generalization to magnetohydrodynamics, which results from including a dynamical non-Abelian guage filed, reduces in the Abelian limit to conventional magnetohydrodynamics. For one-dimensional cases, the models mentioned above are completely integrable, and Jackiw gives the general solution of the Chaplygin gas and the Born-Infeld model on a line, as well as a general solution of the Nambu-Goto theory for a 1-brane (string) in two spatial dimensions. Jackiw discusses the need for a non-Abelian fluid mechanics and proposes a Lagrangian, which involves a non-Abelian auxiliary field whose Chern-Simons density should be a total derivative. The generalization to magnetohydrodynamics, which results from including a dynamical non-Abelian gauge field, reduces in the Abelian limit to conventional magnetohydrodynamics.
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Advances in Fluid Mechanics Measurements (Lecture Notes in Engineering)
Manufacturer: Springer
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The Aerodynamics of Heavy Vehicles: Trucks, Buses, and Trains (Lecture Notes in Applied and Computational Mechanics)
Manufacturer: Springer
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ASIN: 3540220887 |
Book Description
This book includes the carefully edited contributions to the "United Engineering Foundation Conference: The Aerodynamics of Heavy Vehicles: Trucks, Buses and Trains", held in Monterey, California from December 2-6, 2002. This conference brought together 90 leading engineering researchers discussing the aerodynamic drag of heavy vehicles. The book topics include a comparison of computational fluid dynamics calculations using both steady and unsteady Reynolds-averaged Navier-Stokes, large-eddy simulation, and hybrid turbulence models and experimental data obtained from wind tunnel experiments. Advanced experimental techniques including three-dimensional particle image velocimetry are presented as well, along with their use in evaluating drag reduction devices.
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