Mechanical and Thermodynamical Modeling of Fluid Interfaces

Mechanical and Thermodynamical Modeling of Fluid Interfaces PDF Author: Ren‚e Gatignol
Publisher: World Scientific
ISBN: 9812810625
Category : Science
Languages : en
Pages : 273

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Book Description
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

Mechanical and Thermodynamical Modeling of Fluid Interfaces PDF Author: Ren‚e Gatignol
Publisher: World Scientific
ISBN: 9812810625
Category : Science
Languages : en
Pages : 273

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Book Description
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.

Fluid Mechanics at Interfaces 1

Fluid Mechanics at Interfaces 1 PDF Author: Roger Prudhomme
Publisher: John Wiley & Sons
ISBN: 1119902967
Category : Science
Languages : en
Pages : 258

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Book Description
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

Flows and Chemical Reactions PDF Author: Roger Prud'homme
Publisher: John Wiley & Sons
ISBN: 1118588223
Category : Science
Languages : en
Pages : 240

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Book Description
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.

Fluid and Thermodynamics

Fluid and Thermodynamics PDF Author: Kolumban Hutter
Publisher: Springer
ISBN: 3319777459
Category : Science
Languages : en
Pages : 644

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Book Description
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.

Flows of Reactive Fluids

Flows of Reactive Fluids PDF Author: Roger Prud'homme
Publisher: Springer Science & Business Media
ISBN: 0817646590
Category : Technology & Engineering
Languages : en
Pages : 492

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Book Description
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.

Flows and Chemical Reactions in Heterogeneous Mixtures

Flows and Chemical Reactions in Heterogeneous Mixtures PDF Author: Roger Prud'homme
Publisher: John Wiley & Sons
ISBN: 1848217854
Category : Science
Languages : en
Pages : 204

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Book Description
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.

Liquid Interfacial Systems

Liquid Interfacial Systems PDF Author: Rudolph V. Birikh
Publisher: CRC Press
ISBN: 9780203911228
Category : Science
Languages : en
Pages : 400

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Book Description
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.

Computational Methods For Pde In Mechanics (With Cd-rom)

Computational Methods For Pde In Mechanics (With Cd-rom) PDF Author: Berardino D'acunto
Publisher: World Scientific Publishing Company
ISBN: 9813106417
Category : Mathematics
Languages : en
Pages : 300

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Book Description
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.

Theory and Applications of Viscous Fluid Flows

Theory and Applications of Viscous Fluid Flows PDF Author: Radyadour Kh. Zeytounian
Publisher: Springer Science & Business Media
ISBN: 3662104474
Category : Science
Languages : en
Pages : 498

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Book Description
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

Écoulements et réactions chimiques 2 : Applications aux mélanges homogènes réactifs PDF Author: PRUD'HOMME Roger
Publisher: Lavoisier
ISBN: 2746295431
Category : Chemical reactions
Languages : en
Pages : 254

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Book Description
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.