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Rational Extended Thermodynamics
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Book Synopsis Extended Thermodynamics by : Ingo Müller
Download or read book Extended Thermodynamics written by Ingo Müller and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.
Book Synopsis Rational extended thermodynamics by : Ingo Mueller
Download or read book Rational extended thermodynamics written by Ingo Mueller and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of high frequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are • field equations of balance type, • constitutive quantities depending on the present local state and • entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propaga tion. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium vari ables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions--derived from the entropy principle-take the form of integrability conditions.
Book Synopsis Rational Extended Thermodynamics beyond the Monatomic Gas by : Tommaso Ruggeri
Download or read book Rational Extended Thermodynamics beyond the Monatomic Gas written by Tommaso Ruggeri and published by Springer. This book was released on 2015-10-15 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas and mixture of gases in non-equilibrium. In particular we present the theory of dense gases with 14 fields, which reduces to the Navier-Stokes Fourier classical theory in the parabolic limit. Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecule’s internal degrees of freedom. Recent results on mixtures of gases with multi-temperature are presented together with a natural definition of the average temperature. The qualitative analysis and in particular, the existence of the global smooth solution and the convergence to equilibrium are also studied by taking into account the fact that the differential systems are symmetric hyperbolic. Applications to shock and sound waves are analyzed together with light scattering and heat conduction and the results are compared with experimental data. Rational extended thermodynamics (RET) is a thermodynamic theory that is applicable to non-equilibrium phenomena. It is described by differential hyperbolic systems of balance laws with local constitutive equations. As RET has been strictly related to the kinetic theory through the closure method of moment hierarchy associated to the Boltzmann equation, the applicability range of the theory has been restricted within rarefied monatomic gases. The book represents a valuable resource for applied mathematicians, physicists and engineers, offering powerful models for potential applications like satellites reentering the atmosphere, semiconductors and nano-scale phenomena.
Book Synopsis Rational Extended Thermodynamics beyond the Monatomic Gas by : Tommaso Ruggeri
Download or read book Rational Extended Thermodynamics beyond the Monatomic Gas written by Tommaso Ruggeri and published by Springer. This book was released on 2016-10-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas and mixture of gases in non-equilibrium. In particular we present the theory of dense gases with 14 fields, which reduces to the Navier-Stokes Fourier classical theory in the parabolic limit. Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecule’s internal degrees of freedom. Recent results on mixtures of gases with multi-temperature are presented together with a natural definition of the average temperature. The qualitative analysis and in particular, the existence of the global smooth solution and the convergence to equilibrium are also studied by taking into account the fact that the differential systems are symmetric hyperbolic. Applications to shock and sound waves are analyzed together with light scattering and heat conduction and the results are compared with experimental data. Rational extended thermodynamics (RET) is a thermodynamic theory that is applicable to non-equilibrium phenomena. It is described by differential hyperbolic systems of balance laws with local constitutive equations. As RET has been strictly related to the kinetic theory through the closure method of moment hierarchy associated to the Boltzmann equation, the applicability range of the theory has been restricted within rarefied monatomic gases. The book represents a valuable resource for applied mathematicians, physicists and engineers, offering powerful models for potential applications like satellites reentering the atmosphere, semiconductors and nano-scale phenomena.
Book Synopsis Extended Irreversible Thermodynamics by : David Jou
Download or read book Extended Irreversible Thermodynamics written by David Jou and published by Springer Verlag. This book was released on 1996-01-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems after each chapter
Book Synopsis Classical and Relativistic Rational Extended Thermodynamics of Gases by : Tommaso Ruggeri
Download or read book Classical and Relativistic Rational Extended Thermodynamics of Gases written by Tommaso Ruggeri and published by Springer Nature. This book was released on 2021-04-22 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchies of moment equations. The book intends to present, in a systematic way, new results obtained by RET of gases in both classical and relativistic cases, and it is a natural continuation of the book "Rational Extended Thermodynamics beyond the Monatomic Gas" by the same authors published in 2015. However, this book addresses much wider topics than those of the previous book. Its contents are as follows: RET of rarefied monatomic gases and of polyatomic gases; a simplified RET theory with 6 fields being valid far from equilibrium; RET where both molecular rotational and vibrational modes exist; mixture of gases with multi-temperature. The theory is applied to several typical topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to conduct a qualitative analysis. The book represents a valuable resource for applied mathematicians, physicists, and engineers, offering powerful models for many potential applications such as reentering satellites into the atmosphere, semiconductors, and nanoscale phenomena.
Book Synopsis Extended Irreversible Thermodynamics by : D. Jou
Download or read book Extended Irreversible Thermodynamics written by D. Jou and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers a wide spectrum of applications and contains a wide discussion of the foundations and the scope of the most current theories of non-equilibrium thermodynamics. The new edition reflects new developments and contains a new chapter on the interplay between hydrodynamics and thermodynamics.
Book Synopsis Continuum Thermodynamics and Constitutive Theory by : Christina Papenfuß
Download or read book Continuum Thermodynamics and Constitutive Theory written by Christina Papenfuß and published by Springer Nature. This book was released on 2020-05-16 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different thermodynamic approaches in the area of constitutive theory: thermodynamics of irreversible processes, rational thermodynamics, and extended thermodynamics. These different approaches are analyzed with respect to their presuppositions, as well as to their results, and each method is applied to several important examples. In many cases these examples are archetypes for numerous technologically important materials; i.e. complex materials having an internal structure. Some of the examples dealt with in this book are liquid crystals, colloid suspensions, ans fiber suspensions. The book well serves students and researchers who have basic knowledge in continuum mechanics and thermodynamics. It provides a systematic overview of the vast field of thermodynamic constitutive theory, beginning from a historical perspective and concluding with outstanding questions in recent research.
Book Synopsis Understanding Non-equilibrium Thermodynamics by : Georgy Lebon
Download or read book Understanding Non-equilibrium Thermodynamics written by Georgy Lebon and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the many facets of non-equilibrium thermodynamics. The first part of this book describes the current thermodynamic formalism recognized as the classical theory. The second part focuses on different approaches. Throughout the presentation, the emphasis is on problem-solving applications. To help build your understanding, some problems have been analyzed using several formalisms to underscore their differences and their similarities.
Book Synopsis Thermodynamic Approaches in Engineering Systems by : Stanislaw Sieniutycz
Download or read book Thermodynamic Approaches in Engineering Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2016-05-20 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamic Approaches in Engineering Systems responds to the need for a synthesizing volume that throws light upon the extensive field of thermodynamics from a chemical engineering perspective that applies basic ideas and key results from the field to chemical engineering problems. This book outlines and interprets the most valuable achievements in applied non-equilibrium thermodynamics obtained within the recent fifty years. It synthesizes nontrivial achievements of thermodynamics in important branches of chemical and biochemical engineering. Readers will gain an update on what has been achieved, what new research problems could be stated, and what kind of further studies should be developed within specialized research. - Presents clearly structured chapters beginning with an introduction, elaboration of the process, and results summarized in a conclusion - Written by a first-class expert in the field of advanced methods in thermodynamics - Provides a synthesis of recent thermodynamic developments in practical systems - Presents very elaborate literature discussions from the past fifty years
Book Synopsis Advanced Thermodynamics for Engineers by : D. Winterbone
Download or read book Advanced Thermodynamics for Engineers written by D. Winterbone and published by Butterworth-Heinemann. This book was released on 1996-11-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the basic theories of thermodynamics are adequately covered by a number of existing texts, there is little literature that addresses more advanced topics. In this comprehensive work the author redresses this balance, drawing on his twenty-five years of experience of teaching thermodynamics at undergraduate and postgraduate level, to produce a definitive text to cover thoroughly, advanced syllabuses. The book introduces the basic concepts which apply over the whole range of new technologies, considering: a new approach to cycles, enabling their irreversibility to be taken into account; a detailed study of combustion to show how the chemical energy in a fuel is converted into thermal energy and emissions; an analysis of fuel cells to give an understanding of the direct conversion of chemical energy to electrical power; a detailed study of property relationships to enable more sophisticated analyses to be made of both high and low temperature plant and irreversible thermodynamics, whose principles might hold a key to new ways of efficiently covering energy to power (e.g. solar energy, fuel cells). Worked examples are included in most of the chapters, followed by exercises with solutions. By developing thermodynamics from an explicitly equilibrium perspective, showing how all systems attempt to reach a state of equilibrium, and the effects of these systems when they cannot, the result is an unparalleled insight into the more advanced considerations when converting any form of energy into power, that will prove invaluable to students and professional engineers of all disciplines.
Book Synopsis Extended Irreversible Thermodynamics by : David Jou
Download or read book Extended Irreversible Thermodynamics written by David Jou and published by Springer Science & Business Media. This book was released on 2010-09-16 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fast progress in many areas of research related to non-equilibrium ther- dynamics has prompted us to write a fourth edition of this book. Like in the previous editions, our main concern is to open the subject to the widest au- ence, including students, teachers, and researchers in physics, chemistry, engine- ing, biology, and materials sciences. Our objective is to present a general view on several open problems arising in non-equilibrium situations, and to afford a wide perspective of applications illustrating their practical outcomes and con- quences. A better comprehension of the foundations is generally correlated to an increase of the range of applications, implying mutual feedback and cross fert- ization. Truly, thermodynamic methods are widely used in many areas of science but, surprisingly, the active dynamism of thermodynamics as a ?eld on its own is not suf?ciently perceived outside a relatively reduced number of specialized researchers. Extended irreversible thermodynamics (EIT) goes beyond the classical f- malisms based on the local equilibrium hypothesis; it was also referred to in an earlier publication by the authors (Lebon et al. 1992) as a thermodynamics of the third type, as it provides a bridge between classical irreversible thermodynamics and rational thermodynamics, enlarging at the same time their respective range of application. The salient feature of the theory is that the ?uxes are incorporated into the set of basic variables.
Download or read book Continuum Mechanics written by I-Shih Liu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.
Book Synopsis Extended Thermodynamics Systems by : Stanislaw Sieniutycz
Download or read book Extended Thermodynamics Systems written by Stanislaw Sieniutycz and published by CRC Press. This book was released on 1992-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multiauthored volume sketches the applications of nonequilibrium thermodynamics to complex systems. These are characterized by an involved form of the Gibbs equation and include systems such as solutions of macromolecules, magnetic hysteresis bodies, viscoelastic fluids, polarizable media, fluids under stresses and in the presence of essential nonstationarities, and high temperature gradients. As a rule, the so- called internal variables and/or dissipative fluxes are essential in the thermodynamic description of such systems.
Book Synopsis Multiscale Thermo-Dynamics by : Michal Pavelka
Download or read book Multiscale Thermo-Dynamics written by Michal Pavelka and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: One common feature of new emerging technologies is the fusion of the very small (nano) scale and the large scale engineering. The classical environment provided by single scale theories, as for instance by the classical hydrodynamics, is not anymore satisfactory. The main challenge is to keep the important details while still be able to keep the overall picture and simplicity. It is the thermodynamics that addresses this challenge. Our main reason for writing this book is to explain such general viewpoint of thermodynamics and to illustrate it on a very wide range of examples. Contents Levels of description Hamiltonian mechanics Irreversible evolution Reversible and irreversible evolution Multicomponent systems Contact geometry Appendix: Mathematical aspects
Book Synopsis Nonequilibrium Thermodynamics by : Yasar Demirel
Download or read book Nonequilibrium Thermodynamics written by Yasar Demirel and published by Newnes. This book was released on 2013-12-16 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural phenomena consist of simultaneously occurring transport processes and chemical reactions. These processes may interact with each other and may lead to self-organized structures, fluctuations, instabilities, and evolutionary systems. Nonequilibrium Thermodynamics, Third Edition emphasizes the unifying role of thermodynamics in analyzing the natural phenomena. This third edition updates and expands on the first and second editions by focusing on the general balance equations for coupled processes of physical, chemical, and biological systems. The new edition contains a new chapter on stochastic approaches to include the statistical thermodynamics, mesoscopic nonequilibrium thermodynamics, fluctuation theory, information theory, and modeling the coupled biochemical systems in thermodynamic analysis. This new addition also comes with more examples and practice problems. - Informs and updates on all the latest developments in the field - Contributions from leading authorities and industry experts - A useful text for seniors and graduate students from diverse engineering and science programs to analyze some nonequilibrium, coupled, evolutionary, stochastic, and dissipative processes - Highlights fundamentals of equilibrium thermodynamics, transport processes and chemical reactions - Expands the theory of nonequilibrium thermodynamics and its use in coupled transport processes and chemical reactions in physical, chemical, and biological systems - Presents a unified analysis for transport and rate processes in various time and space scales - Discusses stochastic approaches in thermodynamic analysis including fluctuation and information theories - Has 198 fully solved examples and 287 practice problems - An Instructor Resource containing the Solution Manual can be obtained from the author: [email protected]
Book Synopsis Thermodynamics of Fluids Under Flow by : D. Jou
Download or read book Thermodynamics of Fluids Under Flow written by D. Jou and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the authors’ successful theory for extended irreversible thermodynamics, the book analyzes the thermodynamic aspects of several phenomena induced by the flow in fluid systems.
