Continuum Thermomechanics

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Springer Science & Business Media, Mar 17, 2006 - Science - 209 pages
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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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Contents

Lagrangian Coordinates
13
Chemical Reactions in a Stirred Tank
16
The Principle of Material FrameIndifference
27
Isotropy
37
Equations in Lagrangian Coordinates
43
8
46
9
57
10
70
Mixtures of ColemanNoll Fluids
109
Chemical Equilibrium of a Reacting Mixture of Perfect Gases
125
Flow of a Mixture of Reacting Perfect Gases
135
The Method of Mixture Fractions
145
Turbulent Flow of Reacting Mixtures of Perfect Gases
152
A Vector and Tensor Algebra
161
B Vector and Tensor Analysis
172
Some Equations of Continuum Mechanics in Curvilinear Coordinates
189

Quasistatic Thermoelasticity
80
Perfect Gases
93
Incompressible Fluids
100

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