Dissipative Ordered Fluids

Author : André M. Sonnet,Epifanio G. Virga
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 42,6 Mb
Release : 2012-01-24
Category : Science
ISBN : 9780387878157

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Dissipative Ordered Fluids by André M. Sonnet,Epifanio G. Virga Pdf

This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral and nonchiral variants. The authors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased. Within this unified setting, they cover both well-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from the original 1960s works by Ericksen and Leslie to new, fast-developing ideas of liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves in nematic liquid crystals are interpreted and explained in the light of a new theory developed within the general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students and professional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid crystal hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrates how these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the University of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in the Department of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theories of defects and biaxial nematics.

Author : André M. Sonnet,Epifanio G. Virga
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 55,9 Mb
Release : 2012-01-21
Category : Science
ISBN : 9780387878140

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Dissipative Ordered Fluids by André M. Sonnet,Epifanio G. Virga Pdf

This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral and nonchiral variants. The authors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased. Within this unified setting, they cover both well-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from the original 1960s works by Ericksen and Leslie to new, fast-developing ideas of liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves in nematic liquid crystals are interpreted and explained in the light of a new theory developed within the general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students and professional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid crystal hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrates how these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the University of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in the Department of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theories of defects and biaxial nematics.

Author : Kolumban Hutter,Yongqi Wang
Publisher : Springer
Page : 627 pages
File Size : 47,6 Mb
Release : 2018-09-22
Category : Science
ISBN : 9783319777450

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Fluid and Thermodynamics by Kolumban Hutter,Yongqi Wang Pdf

This third volume describes continuous bodies treated as classical (Boltzmann) and spin (Cosserat) continua or fluid mixtures of such bodies. It discusses systems such as Boltzmann continua (with trivial angular momentum) and Cosserat continua (with nontrivial spin balance) and formulates the balance law and deformation measures for these including multiphase complexities. Thermodynamics is treated in the spirit of Müller–Liu: it is applied to Boltzmann-type fluids in three dimensions that interact with neighboring fluids on two-dimensional contact surfaces and/or one-dimensional contact lines. For all these situations it formulates the balance laws for mass, momenta, energy, and entropy. Further, it introduces constitutive modeling for 3-, 2-, 3-d body parts for general processes and materially objective variable sets and their reduction to equilibrium and non-equilibrium forms. Typical (reduced) fluid spin continua are liquid crystals. Prominent nematic examples of these include the Ericksen–Leslie–Parodi (ELP) formulation, in which material particles are equipped with material unit vectors (directors). Nematic liquid crystals with tensorial order parameters of rank 1 to n model substructure behavior better, and for both classes of these, the book analyzes the thermodynamic conditions of consistency. Granular solid–fluid mixtures are generally modeled by complementing the Boltzmann laws with a balance of fluctuation (kinetic) energy of the particles. The book closes by presenting a full Reynolds averaging procedure that accounts for higher correlation terms e.g. a k-epsilon formulation in classical turbulence. However, because the volume fraction is an additional variable, the theory also incorporates ‘k-epsilon equations’ for the volume fraction.

Author : Alexander Gelfgat
Publisher : Springer
Page : 527 pages
File Size : 53,8 Mb
Release : 2018-07-06
Category : Technology & Engineering
ISBN : 9783319914947

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Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics by Alexander Gelfgat Pdf

Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.

Author : Anyong Qing
Publisher : Springer Nature
Page : 283 pages
File Size : 46,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789819989133

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Microwaves, Millimeter Wave and Terahertz Liquid Crystals by Anyong Qing Pdf

Author : Rupak Biswas
Publisher : DEStech Publications, Inc
Page : 703 pages
File Size : 47,6 Mb
Release : 2010
Category : Computers
ISBN : 9781605950228

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Parallel Computational Fluid Dynamics by Rupak Biswas Pdf

Author : Damien Violeau
Publisher : Oxford University Press
Page : 611 pages
File Size : 52,7 Mb
Release : 2012-05-03
Category : Science
ISBN : 9780199655526

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Fluid Mechanics and the SPH Method by Damien Violeau Pdf

This book presents the SPH method for fluid modelling from a theoretical and applied viewpoint. It explains the foundations of the method, from physical principles, and will help researchers, students, and engineers to understand how the method should be used and why it works well.

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 51,7 Mb
Release : 1998-11-25
Category : Mathematics
ISBN : 9780387983769

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Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by Dale R. Durran Pdf

Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.

Author : Eberhard Baensch
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642190148

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Challenges in Scientific Computing - CISC 2002 by Eberhard Baensch Pdf

The conference Challenges In Scientific Computing (CISC 2002) took place from October, 2 to 5, 2002. The hosting institution was the Weierstrass Insti tute for Applied Analysis and Stochastics (WIAS) in Berlin, Germany. The main purpose of this meeting was to draw together researchers working in the fields of numerical analysis and scientific computing with a common interest in the numerical treatment and the computational solution of systems of nonlinear partial differential equations arising from applications of physical and engineering problems. The main focus of the conference was on the problem class of non linear transport/diffusion/reaction systems, chief amongst these being: the Navier-Stokes equations, semiconductor-device equations and porous media flow problems. The emphasis was on unsolved problems, challenging open questions from applications and assessing the various numerical methods used to handle them, rather than concentrate on accurate results from "solved" problems. Thanks to the participants it was an interesting meeting. The presentations stimulated exchanging ideas and lively discussions. This proceedings comprises 13 papers form the conference, ranging from numerical methods for flow problems, multigrid methods, semiconductor and microwave simulation, solution methods, finite element analysis to software aspects. This interesting conference would not have been possible without the help of the staff of the WIAS. I thank all participants, and all our supporters, especially those not onstage, for making the conference a success.

Author : P. M. Chaikin,T. C. Lubensky
Publisher : Cambridge University Press
Page : 724 pages
File Size : 44,8 Mb
Release : 2000-09-28
Category : Science
ISBN : 0521794501

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Principles of Condensed Matter Physics by P. M. Chaikin,T. C. Lubensky Pdf

This successful and widely-reviewed book covering the physics of condensed matter systems is now available in paperback.

Author : Gérard A. Maugin,Andrei V. Metrikine
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 54,8 Mb
Release : 2010-03-24
Category : Mathematics
ISBN : 9781441956958

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Mechanics of Generalized Continua by Gérard A. Maugin,Andrei V. Metrikine Pdf

In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Author : Francesca Serra,Uroš Tkalec,Teresa Lopez-Leon
Publisher : Frontiers Media SA
Page : 118 pages
File Size : 53,8 Mb
Release : 2020-12-02
Category : Science
ISBN : 9782889661459

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Topological Soft Matter by Francesca Serra,Uroš Tkalec,Teresa Lopez-Leon Pdf

This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

Author : Anonim
Publisher : Accademia Naz. dei Lincei
Page : 232 pages
File Size : 45,8 Mb
Release : 2004
Category : Science
ISBN : STANFORD:36105121563022

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Whence the Boundary Conditions in Modern Continuum Physics? by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 804 pages
File Size : 46,5 Mb
Release : 2003
Category : Engineering
ISBN : UOM:39015057314810

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Proceedings by Anonim Pdf

Author : Anonim
Publisher : Academic Press
Page : 505 pages
File Size : 40,9 Mb
Release : 2014-06-28
Category : Science
ISBN : 9780080924458

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Dissipative Structures and Weak Turbulence by Anonim Pdf

Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.