Termodin Mica Racional
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Termodin Mica Racional
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Author : C. Truesdell
language : es
Publisher: Reverte
Release Date : 1973
Termodin Mica Racional written by C. Truesdell and has been published by Reverte this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Science categories.
En su mayor parte, esta obra, se basa en una serie de conferencias dadas por el autor en diversas Universidades europeas y norteamericanas. En él las Matemáticas se mantienen a un nivel elemental a fin de dar siempre relieve al aspecto físico y por lo tanto estas conferencias no presentan un discurso deductivo.
Rational Thermodynamics
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Author : C. Truesdell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Rational Thermodynamics written by C. Truesdell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In the first edition of this book I tried to survey in brief compass the main ideas, methods, and discoveries of rational thermodynamics as it then stood, only five years after Messrs. COLEMAN & NOLL, while in Baltimore, had written the fundamental memoir that provided for the new science the one root theretofore wanting. A survey in the same style today would require an almost wholly new book, three or four times as long. As it was in 1968, again in 1983 a consecutive treatise restricted to the foundations would be premature, for at this moment they are under earnest discussion, probing analysis, and powerful attack by several students and from several directions. Because, although in the first edition I expressed some opinions I no longer hold and made some statements I should now recast or even re tract, it seems even yet to offer a simple introduction to some aspects of the field that remain current, I have chosen to reprint it unaltered except for emendation of slips and bettering of the English here and there.
Termodin Mica Racional
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Author : Clifford Truesdell
language : es
Publisher:
Release Date : 1973
Termodin Mica Racional written by Clifford Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Rational Thermodynamics
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Author : Clifford Truesdell
language : en
Publisher:
Release Date : 1969
Rational Thermodynamics written by Clifford Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Thermodynamics categories.
Classical And Relativistic Rational Extended Thermodynamics Of Gases
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Author : Tommaso Ruggeri
language : en
Publisher: Springer Nature
Release Date : 2021-04-22
Classical And Relativistic Rational Extended Thermodynamics Of Gases written by Tommaso Ruggeri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-22 with Mathematics categories.
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.
Rational Extended Thermodynamics
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Author : Ingo Mueller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Rational Extended Thermodynamics written by Ingo Mueller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.
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.
Rational Extended Thermodynamics Beyond The Monatomic Gas
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Author : Tommaso Ruggeri
language : en
Publisher: Springer
Release Date : 2015-10-15
Rational Extended Thermodynamics Beyond The Monatomic Gas written by Tommaso Ruggeri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-15 with Mathematics categories.
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.
Rational Continua Classical And New
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Author : P. Podio-Guidugli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Rational Continua Classical And New written by P. Podio-Guidugli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book is a tribute to Gianfranco Capriz on the occasion of his seventy-fifth birthday. This book collects about twenty research papers written by world-leading scientists in the field of continuum thermomechanics. The authors discuss a number of different theories, classical and new. Moreover, general underlying themes are both the exploration of the limits of the continuum approach (as it was consolidated between the late '50s and the early '70s) and the study of those amendments and extensions that would hopefully allow to treat mathematically a host of real-life problems that have been proposed, but not yet adequately modelled, within materials science, structural optimisation, biosciences, medical engineering, superconductivity, etc. The reader will find displayed the recent progresses in modelling non-standard material structures.
Convection In Fluids
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Author : Radyadour Kh. Zeytounian
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-21
Convection In Fluids written by Radyadour Kh. Zeytounian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-21 with Science categories.
This monograph, entirely devoted to “Convection in Fluids”, presents a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archimedean thrust) or temperature-dependent surface tension in homogeneities (Marangoni effect). Also, the general mathematical formulation (for instance, in the Bénard problem - heated from below) and the effect of free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered. This volume gives a rational and analytical analysis of the above mentioned physical effects on the basis of the full unsteady Navier-Stokes and Fourier (NS-F) equations - for a Newtonian compressible viscous and heat-conducting fluid - coupled with the associated initials (at initial time), boundary (lower-at the solid plane) and free surface (upper-in contact with ambiant air) conditions. This, obviously, is not an easy but a necessary task if we have in mind a rational modelling process, and work within a numerically coherent simulation on a high speed computer.
The Rational Spirit In Modern Continuum Mechanics
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Author : Chi-Sing Man
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-19
The Rational Spirit In Modern Continuum Mechanics written by Chi-Sing Man and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-19 with Science categories.
Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.