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Continuum Thermomechanics
(Englisch)
Progress in Mathematical Physics 43
Alfredo Bermúdez de Castro

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Continuum Thermomechanics

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Produktbeschreibung

Covers both mechanics and thermodynamics of continuous media

Solids and fluids are introduced in a unified approach

Classical linear approximate models for small motions are deduced on a rigorous mathematical basis

Mixtures of reacting fluids involving finite rate or equilibrium chemistry are modelled


Covers both mechanics and thermodynamics of continuous media

Solids and fluids are introduced in a unified approach

Classical linear approximate models for small motions are deduced on a rigorous mathematical basis

Mixtures of reacting fluids involving finite rate or equilibrium chemistry are modelled

Includes supplementary material: sn.pub/extras


The general goal of this book is to deduce rigorously, from thefirst principles, the partial differential equations governing thethermodynamic processes undergone by continuum media under forcesand heat. Solids and fluids are considered in a unified framework.Reacting mixtures of fluids are also included for which generalnotions of thermodynamics are recalled, such as the Gibbsequilibrium theory.

Linear approximate models are mathematically obtained bycalculating the derivatives of the constitutive response functions.They include the classical models for linear vibrations ofthermoelastic solids and also for wave propagation in fluids(dissipative and non-dissipative acoustics and internal gravitywaves).



General Definitions, Conservation Laws.- Lagrangian Coordinates.- Constitutive Laws.- The Principle of Material Frame-Indifference.- Replacing Entropy with Temperature.- Isotropy.- Equations in Lagrangian Coordinates.- Linearized Models.- Quasi-static Thermoelasticity.- Fluids.- Linearized Models for Fluids, Acoustics.- Perfect Gases.- Incompressible Fluids.- Turbulent Flow of Incompressible Newtonian Fluids.- Mixtures of Coleman-Noll Fluids.- Chemical Reactions in a Stirred Tank.- Chemical Equilibrium of a Reacting Mixture of Perfect Gases in a Stirred Tank.- Flow of a Mixture of Reacting Perfect Gases.- The Method of Mixture Fractions.- Turbulent Flow of Reacting Mixtures of Perfect Gases, The PDF Method.



Inhaltsverzeichnis



General Definitions, Conservation Laws.- Lagrangian Coordinates.- Constitutive Laws.- The Principle of Material Frame-Indifference.- Replacing Entropy with Temperature.- Isotropy.- Equations in Lagrangian Coordinates.- Linearized Models.- Quasi-static Thermoelasticity.- Fluids.- Linearized Models for Fluids, Acoustics.- Perfect Gases.- Incompressible Fluids.- Turbulent Flow of Incompressible Newtonian Fluids.- Mixtures of Coleman-Noll Fluids.- Chemical Reactions in a Stirred Tank.- Chemical Equilibrium of a Reacting Mixture of Perfect Gases in a Stirred Tank.- Flow of a Mixture of Reacting Perfect Gases.- The Method of Mixture Fractions.- Turbulent Flow of Reacting Mixtures of Perfect Gases, The PDF Method.


Klappentext

The general goal of this book is to deduce rigorously, from thenfirst principles, the partial differential equations governing thenthermodynamic processes undergone by continuum media under forcesnand heat. Solids and fluids are considered in a unified framework.nReacting mixtures of fluids are also included for which generalnnotions of thermodynamics are recalled, such as the Gibbsnequilibrium theory.nnnLinear approximate models are mathematically obtained byncalculating the derivatives of the constitutive response functions.nThey include the classical models for linear vibrations ofnthermoelastic solids and also for wave propagation in fluidsn(dissipative and non-dissipative acoustics and internal gravitynwaves).




Covers both mechanics and thermodynamics of continuous media

Solids and fluids are introduced in a unified approach

Classical linear approximate models for small motions are deduced on a rigorous mathematical basis

Mixtures of reacting fluids involving finite rate or equilibrium chemistry are modelled

Includes supplementary material: sn.pub/extras



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