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Extended Thermodynamics Systems

Author: Stanislaw Sieniutycz

Publisher: CRC Press

Published: 1992-01-01

Total Pages: 516

ISBN-13: 9780844816937

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.

Extended Thermodynamics

Author: Ingo Müller

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 238

ISBN-13: 1468404474

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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.

Extended Irreversible Thermodynamics

Author: David Jou

Publisher: Springer Verlag

Published: 1996-01-01

Total Pages: 383

ISBN-13: 9783540607892

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Problems after each chapter

Thermodynamic Approaches in Engineering Systems

Author: Stanislaw Sieniutycz

Publisher: Elsevier

Published: 2016-05-20

Total Pages: 738

ISBN-13: 0128093390

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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

Rational extended thermodynamics

Author: Ingo Mueller

Publisher: Springer Science & Business Media

Published: 2013-03-07

Total Pages: 332

ISBN-13: 1461222109

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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.

Extended Irreversible Thermodynamics

Author: D. Jou

Publisher: Springer Science & Business Media

Published: 2011-06-27

Total Pages: 475

ISBN-13: 3642565654

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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.

Extended Irreversible Thermodynamics

Author: David Jou

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 320

ISBN-13: 3642974309

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Classical irreversible thermodynamics, as developed by Onsager, Prigogine and many other authors, is based on the local-equilibrium hypothesis. Out of equilibrium, any system is assumed to depend locally on the same set of variables as when it is in eqUilibrium. This leads to a formal thermody namic structure identical to that of eqUilibrium: intensive parameters such as temperature, pressure and chemical potentials are well-defined quantities keeping their usual meaning, thermodynamic potentials are derived as Leg endre transformations and all equilibrium thermodynamic relations retain their validity. The theory based on this hypothesis has turned out to be very useful and has achieved a number of successes in many practical situations. of interest in going However, the recent decade has witnessed a surge beyond the classical formulation. There are several reasons for this. One of them is the development of experimental methods able to deal with the response of systems to high-frequency and short-wavelength perturbations, such as ultrasound propagation and light and neutron scattering. The ob served results have led to generalizations of the classical hydrodynamical theories, by including memory functions or generalized transport coefficients depending on the frequency and the wavevector. This field has generated impressive progress in non-equilibrium statistical mechanics, but for the moment it has not brought about a parallel development in non-equilibrium thermodynamics. An extension of thermodynamics compatible with gener alized hydrodynamics therefore appears to be a natural subject of research.

Complex Thermodynamic Systems

Author: V. V. Sychev

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 250

ISBN-13: 1468416057

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Thermodynamic methods of analysis have in recent years found ever-growing extensions in diverse regions of modern tech nology. The object of the present book is to apply these methods to the description of materials of varying physical properties. I hope the book will illustrate the wide variety and usefulness of thermodynamics which was well described by Albert Einstein: "A theory is the more impressive the greater the simplicity of its premises is, the more different kinds of things it relates, and the more extended is its area of applicability. Therefore the deep impression which classical thermodynamics made upon me." The work of the American thermodynamic school is well known in the Soviet Union, and thus it is a great pleasure to offer this book to American readers. V. V. Sychev v Preface At the present time, when a number of new areas of tech nology are rapidly evolving, it is difficult to present a modern course in technical thermodynamics without developing such sub jects as the thermodynamics of insulators, magnets, and super conductors, or without treating the features of thermodynamic systems located in a gravitational field and in conditions of weight lessness, etc. In fact the limited coverage of technical thermody namics in the usual textbooks and school equipment as a rule prevents the authors from giving any detailed discussion of these important problems. I therefore resolved to treat these problems in a separate text. I discussed the concept of this book with my teachers V. A.

Rational Extended Thermodynamics beyond the Monatomic Gas

Author: Tommaso Ruggeri

Publisher: Springer

Published: 2016-10-22

Total Pages: 376

ISBN-13: 9783319364797

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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.

Extended Non-Equilibrium Thermodynamics

Author: HATIM. MACHRAFI

Publisher:

Published: 2024-06-25

Total Pages: 0

ISBN-13: 9781032653303

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The book deals with physical properties at the nanoscale due to non-local effects introduced by extended irreversible thermodynamics (EIT). The book provides for a systematic approach to understand the behavior of thermal, thermoelectric, photovoltaic and viscous fluid properties as a function of size and other parameters in nanosystems.