The general goal of this book is to deduce rigorously, from the first principles, the partial differential equations governing the thermodynamic processes undergone by continuum media under forces and heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which general notions of thermodynamics are recalled, such as the Gibbs equilibrium theory.
Linear approximate models are mathematically obtained by calculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations of thermoelastic solids and also for wave propagation in fluids (dissipative and non-dissipative acoustics and internal gravity waves).
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Chemical Reactions in a Stirred Tank
The Principle of Material FrameIndifference
Equations in Lagrangian Coordinates
Mixtures of ColemanNoll Fluids
Chemical Equilibrium of a Reacting Mixture of Perfect Gases
Flow of a Mixture of Reacting Perfect Gases
The Method of Mixture Fractions
Turbulent Flow of Reacting Mixtures of Perfect Gases
A Vector and Tensor Algebra
B Vector and Tensor Analysis
Some Equations of Continuum Mechanics in Curvilinear Coordinates