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Foundations of Continuum Thermodynamics

Foundations of Continuum Thermodynamics
Author: J. J. Delgado Domingos
Publisher: John Wiley & Sons
Total Pages: 360
Release: 1975
Genre: Science
ISBN:

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Lie Pseudogroups and Mechanics

Lie Pseudogroups and Mechanics
Author: J. F. Pommaret
Publisher: CRC Press
Total Pages: 612
Release: 1988
Genre: Mathematics
ISBN: 9782881242137

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Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure

Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure
Author: Henry W. Haslach Jr.
Publisher: Springer Science & Business Media
Total Pages: 305
Release: 2011-01-15
Genre: Science
ISBN: 1441977651

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Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also: • Explains the theory behind thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes • Provides a geometric setting for non-equilibrium thermodynamics through several standard models, which are defined as maximum dissipation processes • Emphasizes applications to the time-dependent modeling of soft biological tissue Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.


Continuum Models and Discrete Systems

Continuum Models and Discrete Systems
Author: Gérard A. Maugin
Publisher: Longman Scientific and Technical
Total Pages: 354
Release: 1990
Genre: Mathematics
ISBN:

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Continuum Thermodynamics - Part I

Continuum Thermodynamics - Part I
Author: Krzysztof Wilmanski
Publisher: World Scientific
Total Pages: 416
Release: 2008
Genre: Science
ISBN: 9812835571

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This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models OCo ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts. The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.


The Dynamics of Heat

The Dynamics of Heat
Author: Hans U. Fuchs
Publisher: Springer Science & Business Media
Total Pages: 725
Release: 2013-03-09
Genre: Science
ISBN: 1475725426

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Based on a course given to beginning physics, chemistry, and engineering students at the Winterthur Polytechnic Institute, this text approaches the fundamentals of thermodynamics from the viewpoint of continuum mechanics. By describing physical processes in terms of the flow and balance of physical quantities, the book provides a unified approach to hydraulics, electricity, mechanics and thermodynamics. In this way it becomes clear that the entropy is the fundamental property that is transported in thermal processes and that the temperature is its measure. Previous knowledge of thermodynamics is not required, but readers should be familiar with basic electricity, mechanics, and chemistry and should have some knowledge of elementary calculus. Both the theory and applications are included as well as many exercises and solved problems from various fields of science and engineering.