Analytical Thermodynamics

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This book provides the foundations of analytical thermodynamics for graduate level. The content is based on the author’s lecture notes developed over 30 years of academic teaching. It aims to present thermodynamics to the readers as easy to understand as possible, being suitable for professors teaching advanced thermodynamics or graduate students learning thermodynamics. The chapters include the basics of analytical thermodynamics, modelling of homogeneous and heterogeneous systems, thermodynamics of interfaces and three-phase contact lines and the Second Law in engineering thermodynamics.

Author(s): Dongqing Li
Edition: 1
Publisher: Springer Nature Switzerland AG
Year: 2022

Language: English
Pages: 194
City: Cham, Switzerland
Tags: Thermodynamics

Preface
References
Contents
About the Author
1 Basics of Analytical Thermodynamics
1.1 Definitions
1.2 Postulates
1.3 Fundamental Equations
1.4 Euler Equation and Gibbs–Duhem Equation
1.5 Simple Equilibrium
1.6 Extreme Principles of Equilibrium States
1.7 Legendre Transformations and Thermodynamic Potentials
1.8 Minimum Principles of Thermodynamic Potentials/Free Energies
1.9 Applications of Minimum Principle of Thermodynamic Potentials
1.10 Maxwell Relations
1.11 Thermodynamic Characteristics of Dielectric Media
1.12 Introduction to Thermodynamic Stability
1.13 Phase Change and Clapeyron Equation
1.14 Chemical Potentials
1.15 Boiling Temperature and Freezing Temperature of Dilute Solutions
1.16 Gibbs Phase Rule
1.17 Introduction to High-Order Phase Change
2 Modelling Homogeneous and Heterogeneous Systems
2.1 Simple Elastic Solid
2.2 Simple Electrolyte Solution Systems
2.3 Systems in Gravitational Field and in Centrifugal Field
How to Model a System in a Gravitational Field and in a Centrifugal Field
How to Determine the Equilibrium Conditions
3 Thermodynamics of Interfaces and Three-Phase Contact Lines
3.1 Introduction to Interfaces and Three-Phase Contact Lines
3.2 Thermodynamics of Surfaces
3.3 Thermodynamics of Three-Phase Contact Lines
3.4 Equilibrium Conditions of Droplets and Bubbles
3.5 Equilibrium Conditions of Sessile Drops
3.6 From Laplace Equation to Capillary Rise and Meniscus Shape
3.7 Curvature Effects on Equilibrium Pressure and Temperature
3.8 Solute Effect on Equilibrium Radius of Droplets
3.9 Heterogeneous Nucleation
3.10 Equilibrium Condition of a Bubble in a Uniform Electric Field
3.11 Effects of Applied Electrical Field on Contact Angles
3.12 Effects of Electric Double Layer on Contact Angle
3.13 Modelling Surface Processes by Using Surface Free Energy
4 Second Law of Engineering Thermodynamics
4.1 Irreversible Processes
4.2 Limitation of First Law of Thermodynamics
4.3 Second Law and Equations
4.4 The 2nd Law Requirement on Thermal Cycles
4.5 Applying Second Law Equation to a Human Body