Haddad / Chellaboina / Nersesov Thermodynamics

A Dynamical Systems Approach
Course Book
ISBN: 978-1-4008-2697-1
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 23, 200 Seiten

Reihe: Princeton Series in Applied Mathematics

No detailed description available for "Thermodynamics".

Autoren/Hrsg.

Haddad, Wassim M.

Chellaboina, VijaySekhar

Nersesov, Sergey G.

Fachgebiete

• Naturwissenschaften Physik Thermodynamik

Inhaltsverzeichnis

Preface ix
Chapter 1: Introduction 1
1.1 An Overview of Thermodynamics 1
1.2 System Thermodynamics 11
1.3 A Brief Outline of the Monograph 14
Chapter 2: Dynamical System Theory 17
2.1 Notation, Definitions, and Mathematical Preliminaries 17
2.2 Stability Theory for Nonnegative Dynamical Systems 20
2.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability 27
2.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincaré Recurrence 34
Chapter 3: A Systems Foundation for Thermodynamics 45
3.1 Introduction 45
3.2 Conservation of Energy and the First Law of Thermodynamics 46
3.3 Entropy and the Second Law of Thermodynamics 55
3.4 Ectropy 72
3.5 Semistability, Energy Equipartition, Irreversibility, and the Arrow of Time 81
3.6 Entropy Increase and the Second Law of Thermodynamics 89
3.7 Interconnections of Thermodynamic Systems 91
3.8 Monotonicity of System Energies in Thermodynamic Processes 98
Chapter 4: Temperature Equipartition and the Kinetic Theory of Gases
103
4.1 Semistability and Temperature Equipartition 103
4.2 Boltzmann Thermodynamics 110
Chapter 5: Work, Heat, and the Carnot Cycle 115
5.1 On the Equivalence of Work and Heat: The First Law Revisited 115
5.2 The Carnot Cycle and the Second Law of Thermodynamics 126
Chapter 6: Thermodynamic Systems with Linear Energy Exchange 131
6.1 Linear Thermodynamic System Models 131
6.2 Semistability and Energy Equipartition in Linear Thermodynamic Models 136
Chapter 7: Continuum Thermodynamics 141
7.1 Conservation Laws in Continuum Thermodynamics 141
7.2 Entropy and Ectropy for Continuum Thermodynamics 148
7.3 Semistability and Energy Equipartition in Continuum Thermo-dynamics 160
Chapter 8: Conclusion 169
Bibliography 175
Index 185

Über Autor(innen)

Wassim M. Haddad is Professor of Aerospace Engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is Associate Professor in the Department of Mechanical, Aerospace, and Biomedical Engineering at the University of Tennessee, Knoxville. Sergey G. Nersesov is a Ph.D. student in aerospace engineering at Georgia Institute of Technology.