Continuum Thermodynamics - Part I: Foundations
Seiten
2008
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-283-556-7 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-283-556-7 (ISBN)
- Titel z.Zt. nicht lieferbar
- Versandkostenfrei innerhalb Deutschlands
- Auch auf Rechnung
- Verfügbarkeit in der Filiale vor Ort prüfen
- Artikel merken
Presents thermodynamic methods of construction of continuous models. This book covers a wide range of models - ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others.
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 — 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.
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 — 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.
Introduction; Geometry; Kinematics; Balance Equations; Second Law of Thermodynamics; Equilibrium Gibbs Thermodynamics; Kinetic Theories; Extended Thermodynamics; Thermodynamical Model of Viscoelastic Materials; Elasto-viscoplastic Materials; Thermodynamics of Miscible Mixtures; Thermodynamics of Immiscible Mixtures: Introduction and Models Without the Field of Porosity; Thermodynamics of Poroelastic Materials with the Balance Equation of Porosity; Final Remarks; Appendices: Vectors and Tensors on Euclidean Spaces; Basic Physical Units.
Reihe/Serie | Series on Advances in Mathematics for Applied Sciences ; 77 |
---|---|
Verlagsort | Singapore |
Sprache | englisch |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Thermodynamik |
ISBN-10 | 981-283-556-3 / 9812835563 |
ISBN-13 | 978-981-283-556-7 / 9789812835567 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Von Energie und Entropie zu Wärmeübertragung und Phasenübergängen
Buch | Softcover (2023)
De Gruyter Oldenbourg (Verlag)
49,95 €