Theory of Multicomponent Fluids PDF Download
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Author: Donald A. Drew
Publisher: Springer Science & Business Media
ISBN: 0387226370
Category : Mathematics
Languages : en
Pages : 311
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Book Description
An exposition of the derivation and use of equations of motion for two-phase flow. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. Intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.
Author: Donald A. Drew
Publisher: Springer Science & Business Media
ISBN: 0387226370
Category : Mathematics
Languages : en
Pages : 311
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Book Description
An exposition of the derivation and use of equations of motion for two-phase flow. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. Intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.
Author: Donald A. Drew
Publisher:
ISBN: 9781468492262
Category :
Languages : en
Pages : 324
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Book Description
Author: Vincent Giovangigli
Publisher: Springer Science & Business Media
ISBN: 1461215803
Category : Technology & Engineering
Languages : en
Pages : 334
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Book Description
The goal of this is book to give a detailed presentation of multicomponent flow models and to investigate the mathematical structure and properties of the resulting system of partial differential equations. These developments are also illustrated by simulating numerically a typical laminar flame. Our aim in the chapters is to treat the general situation of multicomponent flows, taking into account complex chemistry and detailed transport phe nomena. In this book, we have adopted an interdisciplinary approach that en compasses a physical, mathematical, and numerical point of view. In par ticular, the links between molecular models, macroscopic models, mathe matical structure, and mathematical properties are emphasized. We also often mention flame models since combustion is an excellent prototype of multicomponent flow. This book still does not pretend to be a complete survey of existing models and related mathematical results. In particular, many subjects like multi phase-flows , turbulence modeling, specific applications, porous me dia, biological models, or magneto-hydrodynamics are not covered. We rather emphasize the fundamental modeling of multicomponent gaseous flows and the qualitative properties of the resulting systems of partial dif ferential equations. Part of this book was taught at the post-graduate level at the Uni versity of Paris, the University of Versailles, and at Ecole Poly technique in 1998-1999 to students of applied mathematics.
Author: Angel Mulero
Publisher: Springer Science & Business Media
ISBN: 3540787666
Category : Science
Languages : en
Pages : 568
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Book Description
Hard spheres and related objects (hard disks and mixtures of hard systems) are paradigmatic systems: indeed, they have served as a basis for the theoretical and numerical development of a number of fields, such as general liquids and fluids, amorphous solids, liquid crystals, colloids and granular matter, to name but a few. The present volume introduces and reviews some important basics and progress in the study of such systems. Their structure, thermodynamic properties, equations of state, as well as kinetic and transport properties are considered from different and complementary points of view. This book addresses graduate students, lecturers as well as researchers in statistical mechanics, physics of liquids, physical chemistry and chemical engineering.
Author: C. G. Gray
Publisher: Oxford University Press
ISBN: 0191036706
Category : Science
Languages : en
Pages : 641
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Book Description
Theory of Molecular Fluids I: Fundamentals
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.
Author: Francesco dell'Isola
Publisher: Springer Science & Business Media
ISBN: 3709109833
Category : Technology & Engineering
Languages : en
Pages : 363
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Book Description
F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.
Author: Kenneth Kuan-yun Kuo
Publisher: John Wiley & Sons
ISBN: 0470226226
Category : Science
Languages : en
Pages : 914
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Book Description
Detailed coverage of advanced combustion topics from the author of Principles of combustion, Second Edition Turbulence, turbulent combustion, and multiphase reacting flows have become major research topics in recent decades due to their application across diverse fields, including energy, environment, propulsion, transportation, industrial safety, and nanotechnology. Most of the knowledge accumulated from this research has never been published in book form—until now. Fundamentals of Turbulent and Multiphase Combustion presents up-to-date, integrated coverage of the fundamentals of turbulence, combustion, and multiphase phenomena along with useful experimental techniques, including non-intrusive, laser-based measurement techniques, providing a firm background in both contemporary and classical approaches. Beginning with two full chapters on laminar premixed and non-premixed flames, this book takes a multiphase approach, beginning with more common topics and moving on to higher-level applications. In addition, Fundamentals of Turbulent and Multiphase Combustion: Addresses seven basic topical areas in combustion and multiphase flows, including laminar premixed and non-premixed flames, theory of turbulence, turbulent premixed and non-premixed flames, and multiphase flows Covers spray atomization and combustion, solid-propellant combustion, homogeneous propellants, nitramines, reacting boundary-layer flows, single energetic particle combustion, and granular bed combustion Provides experimental setups and results whenever appropriate Supported with a large number of examples and problems as well as a solutions manual, Fundamentals of Turbulent and Multiphase Combustion is an important resource for professional engineers and researchers as well as graduate students in mechanical, chemical, and aerospace engineering.
Author: Yury A. Budkov
Publisher: Springer Nature
ISBN: 3031683641
Category :
Languages : en
Pages : 298
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Book Description
Author: R.J. Sadus
Publisher: Elsevier
ISBN: 0444596666
Category : Science
Languages : en
Pages : 411
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Book Description
The high pressure phase behaviour of binary fluid mixtures has been extensively studied during the last three decades. There is ample experimental data for a wide variety of binary mixtures and extensive methods for prediction have been developed. In contrast, the investigation of ternary and other multicomponent fluids is in its infancy. Experimental ternary mixture critical data are very rare and theoretical studies have been limited to data correlation rather than genuine prediction. The phase behaviour of ternary and other multicomponent fluid mixtures has many novel aspects which are not manifested in binary mixtures. The properties of ternary mixtures are also likely to be more difficult to characterize experimentally. It is in this context that calculated phase diagrams have an important role in leading the discovery of new phenomena and guiding experimental work. The criteria for phase equilibria of multicomponent fluids with particular emphasis on the critical state are examined in this book, and models for predicting fluid equilibria (e.g., different equations of state) are compared. Particular attention is paid to the critical state of ternary mixtures which has hitherto been largely neglected. The problems associated with predicting ternary equilibria are discussed, and some novel aspects of ternary critical phenomena are illustrated. The books also describes a novel type of critical transition which appears to be a common feature of the equilibria of ternary mixtures. Extensive phase diagrams of a wide range of ternary mixtures including systems containing carbon dioxide, water, nitrogen and tetrafluoromethane as one or more component are presented. The theoretical treatment is detailed in the appendix and a computation of known experimental critical points is also included.
