Mechanical And Thermodynamical Modeling Of Fluid Interfaces

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Mechanical and Thermodynamical Modeling of Fluid Interfaces

Author : Ren‚e Gatignol,Roger Prud'homme
Publisher : World Scientific
Page : 273 pages
File Size : 51,9 Mb
Release : 2001
Category : Science
ISBN : 9789812810625

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Mechanical and Thermodynamical Modeling of Fluid Interfaces by Ren‚e Gatignol,Roger Prud'homme Pdf

This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures. Constitutive laws are presented for many situations in engineering science, and examples are provided, including surface viscosity effects, variable surface tension and vapor recoil. In addition, some extensions of existing theory are given: stretch effect in premixed flames, relaxation zones downstream two-phase shock waves, and effective surface tension for steep gradient zones. Contents: Thermodynamics and Kinematics of Interfaces; Interface Balance Laws; Constitutive Relations Deduced from Linear Irrevesible Thermodynamics for the Two-Dimensional Interfaces; Classical Three-Dimensional Constitutive Relations Deduced from Linear Irreversible Thermodynamics and Their Consequences for Interfaces; Second Gradient Theory Applied to Interfacial Medium; Typical Problems Involving Surface Tensions and Other Surface Properties. Readership: Graduates, physicists, applied mathematicians and engineers seeking classical knowledge in continuum mechanics and thermodynamics, especially in the thermodynamics of irreversible processes.

Mechanical and Thermodynamical Modeling of Fluid Interfaces

Author : Ren‚e Gatignol,Roger Prud'homme
Publisher : World Scientific
Page : 273 pages
File Size : 51,8 Mb
Release : 2001
Category : Mathematics
ISBN : 9789810243050

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Mechanical and Thermodynamical Modeling of Fluid Interfaces by Ren‚e Gatignol,Roger Prud'homme Pdf

This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures. Constitutive laws are presented for many situations in engineering science, and examples are provided, including surface viscosity effects, variable surface tension and vapor recoil. In addition, some extensions of existing theory are given: stretch effect in premixed flames, relaxation zones downstream two-phase shock waves, and effective surface tension for high gradient zones.

Fluid and Thermodynamics

Author : Kolumban Hutter,Yongqi Wang
Publisher : Springer
Page : 627 pages
File Size : 52,9 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.

Fluid Mechanics at Interfaces 1

Author : Roger Prudhomme,Stephane Vincent
Publisher : John Wiley & Sons
Page : 258 pages
File Size : 50,8 Mb
Release : 2022-03-04
Category : Science
ISBN : 9781119902966

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Fluid Mechanics at Interfaces 1 by Roger Prudhomme,Stephane Vincent Pdf

Interfaces are present in most fluid mechanics problems. They not only denote phase separations and boundary conditions, but also thin flames and discontinuity waves. Fluid Mechanics at Interfaces 1 focuses on the science of interfaces, in particular, using various scientific methods of analysis relating to space, speed and time. Our investigation takes us from the microscopic or small scale (starting with molecular and nanoscopic scales) to the macroscopic (including meso and interstellar scales), and also explores the laws of interfaces (classical mechanics, quantum mechanics and relativistic mechanics). Chapter 1 examines the questions raised by modeling interfaces in the presence of one or more fluid phases. Chapter 2 discusses the action of turbulence in liquid–vapor flows that contain both small, dispersed bubbles as well as large bubbles, with heat exchanges at the interfaces. In addition, a new model is presented, using large eddy simulation (LES). Chapter 3 studies an original method for calculating the drag force and thermal transfers in flows around networks of spherical particles, while Chapter 4 focuses on the relationships between interfaces and critical fluids. Chapter 5 examines shearing, which causes anomalies in the Brownian motion of particles in strongly fluctuating near-critical mixtures, and Chapter 6 introduces basic concepts related to combustion interfaces, raising the question of the combustion of solids, before ending with a brief presentation of the Rankine–Hugoniot theory and a historical overview of the research carried out in the field of combustion.

Flows and Chemical Reactions

Author : Roger Prud'homme
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 46,5 Mb
Release : 2013-01-09
Category : Science
ISBN : 9781118588222

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Flows and Chemical Reactions by Roger Prud'homme Pdf

The aim of this book is to relate fluid flows to chemical reactions. It focuses on the establishment of consistent systems of equations with their boundary conditions and interfaces, which allow us to model and deal with complex situations. Chapter 1 is devoted to simple fluids, i.e. to a single chemical constituent. The basic principles of incompressible and compressible fluid mechanics, are presented in the most concise and educational manner possible, for perfect or dissipative fluids. Chapter 2 relates to the flows of fluid mixtures in the presence of chemical reactions. Chapter 3 is concerned with interfaces and lines. Interfaces have been the subject of numerous publications and books for nearly half a century. Lines and curvilinear media are less known Several appendices on mathematical notation, thermodynamics and mechanics methods are grouped together in Chapter 4. This summary presentation of the basic equations of simple fluids, with exercises and their solutions, as well as those of chemically reacting flows, and interfaces and lines will be very useful for graduate students, engineers, teachers and scientific researchers in many domains of science and industry who wish to investigate problems of reactive flows. Portions of the text may be used in courses or seminars on fluid mechanics.

Flows of Reactive Fluids

Author : Roger Prud'homme
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 46,5 Mb
Release : 2010-07-15
Category : Technology & Engineering
ISBN : 9780817646592

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Flows of Reactive Fluids by Roger Prud'homme Pdf

The modeling of reactive flows has progressed mainly with advances in aerospace, which gave birth to a new science called aerothermochemistry, as well as through developments in chemical and process engineering. This work examines basic concepts and methods necessary to study reactive flows and transfer phenomena in areas such as fluid mechanics, thermodynamics, and chemistry. The book presents tools of interest to graduate students, researchers in mathematical physics, and engineers who wish to investigate problems of reactive flows. Portions of the text may be used in courses on the physics of liquids or in seminars on mechanics.

Interfacial Fluid Mechanics

Author : Vladimir S. Ajaev
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 54,5 Mb
Release : 2012-02-07
Category : Technology & Engineering
ISBN : 9781461413417

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Interfacial Fluid Mechanics by Vladimir S. Ajaev Pdf

Interfacial Fluid Mechanics: A Mathematical Modeling Approach provides an introduction to mathematical models of viscous flow used in rapidly developing fields of microfluidics and microscale heat transfer. The basic physical effects are first introduced in the context of simple configurations and their relative importance in typical microscale applications is discussed. Then, several configurations of importance to microfluidics, most notably thin films/droplets on substrates and confined bubbles, are discussed in detail. Topics from current research on electrokinetic phenomena, liquid flow near structured solid surfaces,evaporation/condensation, and surfactant phenomena are discussed in the later chapters.

Fluid and Thermodynamics

Author : Kolumban Hutter,Yongqi Wang
Publisher : Springer
Page : 633 pages
File Size : 53,7 Mb
Release : 2016-07-18
Category : Science
ISBN : 9783319336367

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Fluid and Thermodynamics by Kolumban Hutter,Yongqi Wang Pdf

In this book fluid mechanics and thermodynamics (F&T) are approached as interwoven, not disjoint fields. The book starts by analyzing the creeping motion around spheres at rest: Stokes flows, the Oseen correction and the Lagerstrom-Kaplun expansion theories are presented, as is the homotopy analysis. 3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level. The difference-quotient turbulence model (DQTM) closure scheme reveals the importance of the turbulent closure schemes’ non-locality effects. Thermodynamics is presented in the form of the first and second laws, and irreversibility is expressed in terms of an entropy balance. Explicit expressions for constitutive postulates are in conformity with the dissipation inequality. Gas dynamics offer a first application of combined F&T. The book is rounded out by a chapter on dimensional analysis, similitude, and physical experiments.

Flows and Chemical Reactions in Heterogeneous Mixtures

Author : Roger Prud'homme
Publisher : John Wiley & Sons
Page : 204 pages
File Size : 44,8 Mb
Release : 2014-12-03
Category : Science
ISBN : 9781848217850

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Flows and Chemical Reactions in Heterogeneous Mixtures by Roger Prud'homme Pdf

This book - a sequel of previous publications 'Flows and Chemical Reactions' and 'Chemical Reactions in Flows and Homogeneous Mixtures' - is devoted to flows with chemical reactions in heterogeneous environments. Heterogeneous media in this volume include interfaces and lines. They may be the site of radiation. Each type of flow is the subject of a chapter in this volume. We consider first, in Chapter 1, the question of the generation of environments biphasic individuals: dusty gas, mist, bubble flow. Chapter 2 is devoted to the study at the mesoscopic scale: particle-fluid exchange of momentum and heat with determination of the respective exchange coefficients. In Chapter 3, we establish simplified equations of macroscopic balance for mass, for the momentum and energy, in the case of particles of one size (monodisperse suspension). Radiative phenomena are presented in Chapter 5.

Computational Methods for PDE in Mechanics

Author : Berardino D'Acunto
Publisher : World Scientific Publishing Company
Page : 300 pages
File Size : 47,5 Mb
Release : 2004-10-12
Category : Electronic
ISBN : 9789813106413

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Computational Methods for PDE in Mechanics by Berardino D'Acunto Pdf

This book provides a good introduction to modern computational methods for Partial Differential Equations in Mechanics. Finite-difference methods for parabolic, hyperbolic as well as elliptic partial differential equations are discussed. A gradual and inductive approach to the numerical concepts has been used, such that the presentation of the theory is easily accessible to upper-level undergraduate and graduate students. Special attention has been given to the applications, with many examples and exercises provided along with solutions. For each type of equation, physical models are carefully derived and presented in full details. Windows programs developed in C++ language have been included in the accompanying CD-ROM. These programs can be easily modified to solve different problems, and the reader is encouraged to take full advantage of the innovative features of this powerful development tool.

Liquid Interfacial Systems

Author : Rudolph V. Birikh,Vladimir A. Briskman,Manuel G. Velarde,Jean-Claude Legros
Publisher : CRC Press
Page : 400 pages
File Size : 46,8 Mb
Release : 2003-06-17
Category : Science
ISBN : 0203911229

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Liquid Interfacial Systems by Rudolph V. Birikh,Vladimir A. Briskman,Manuel G. Velarde,Jean-Claude Legros Pdf

Despite factoring in countless natural, biological, and industrial processes, fixed attention on the singular attributes and behavior of fluids near or at interfaces has not received enough attention in the surface science literature. Liquid Interfacial Systems assembles and analyzes concepts and findings as an inclusive summation of fluid-fluid interfacial phenomena. This book covers excitation, stabilization, and suppression of instability at liquid interfaces. From the influential original research and scholarship of leaders in the discipline comes a volume to impart and explain definitions, scales, governing equations, and boundary conditions used in liquid interfacial system research.

Theory and Applications of Viscous Fluid Flows

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 43,7 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.

Écoulements et réactions chimiques 2 : Applications aux mélanges homogènes réactifs

Author : PRUD'HOMME Roger
Publisher : Lavoisier
Page : 254 pages
File Size : 42,5 Mb
Release : 2013-06-01
Category : Chemical reactions
ISBN : 9782746295438

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Écoulements et réactions chimiques 2 : Applications aux mélanges homogènes réactifs by PRUD'HOMME Roger Pdf

Les écoulements avec réactions chimiques peuvent intervenir dans des domaines variés tels que la combustion, le génie des procédés, l’aéronautique, l’environnement atmosphérique et aquatique. Les exemples d’application choisis dans ce volume portent principalement sur les mélanges réactifs homogènes susceptibles d’intervenir dans les propulseurs, en génie des procédés et en combustion : - propagation du son et écoulements monodimensionnels non diffusifs dans les tuyères pouvant comporter des déséquilibres des modes internes d’énergie des molécules ; - réacteurs chimiques idéaux, stabilisation de leurs points de fonctionnement stationnaires dans le cas homogène à mélange parfait et instruments classiques d’analyse expérimentale et théorique tels les bilans de population, la distribution des temps de séjour et celle des âges ; - flammes laminaires et turbulentes en séparant bien celles qui sont prémélangées de celles qui ne le sont pas et qui ne relèvent pas des mêmes mécanismes, mais qui interviennent conjointement dans le cas des flammes triples. Écoulements et réactions chimiques 2 apporte également des précisions sur l’analyse dimensionnelle, la thermodynamique statistique avec couplage entre modes internes d’énergie et réactions chimiques, l’apparition et la dissipation de la turbulence fluide ainsi que son traitement statistique, les bifurcations, les flammes en milieu confiné et de diffusion.

Fluid Mechanics of Surfactant and Polymer Solutions

Author : Victor Starov,Ivan Ivanov
Publisher : Springer
Page : 180 pages
File Size : 51,9 Mb
Release : 2014-05-04
Category : Science
ISBN : 9783709127667

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Fluid Mechanics of Surfactant and Polymer Solutions by Victor Starov,Ivan Ivanov Pdf

Colloidal systems and dispersions are of great importance in oil recovery, waist water treatment, coating, food and beverage industry, pharmaceutical industry, medicine, environmental protection etc. Colloidal systems and dispersions are always multi-component and multiphase systems. In these systems at least one dimension is in a range of colloidal forces action: colloidal dispersions/emulsions are examples of three dimensional colloidal systems, while thin liquid films are examples of one dimensional colloidal systems. The contribution presented in this issue deals with flow, distribution and redistribution, coating and deposition of surfactant and polymer molecules in colloidal systems. The book presents reviews of recent advances and trends by well-know scientists and engineers in this area.

Motor Vehicle Dynamics: Modelling And Simulation

Author : Giancarlo Genta
Publisher : World Scientific
Page : 552 pages
File Size : 55,6 Mb
Release : 1997-04-19
Category : Technology & Engineering
ISBN : 9789814497992

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Motor Vehicle Dynamics: Modelling And Simulation by Giancarlo Genta Pdf

The book starts with an historical overview of road vehicles. The first part deals with the forces exchanged between the vehicle and the road and the vehicle and the air with the aim of supplying the physical facts and the relevant mathematical models about the forces which dominate the dynamics of the vehicle.The second part deals with the dynamic behaviour of the vehicle in normal driving conditions with some extensions towards conditions encountered in high-speed racing driving.