Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Title
Rational extended thermodynamics beyond the monoatomic gas [electronic resource] / Tommaso Ruggeri, Masaru Sugiyama.
ISBN
9783319133416 electronic book
3319133411 electronic book
9783319133409
3319133403
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (xxiv, 376 pages) : illustrations.
Item Number
10.1007/978-3-319-13341-6 doi
Call Number
QC311 .R84 2015eb
Dewey Decimal Classification
536/.7
Summary
Rational extended thermodynamics (RET) is a thermodynamic theory that is applicable to non-equilibrium phenomena. It is described by differential hyperbolic systems of balance laws with local constitutive equations. As RET has been strictly related to the kinetic theory through the closure method of moment hierarchy associated to the Boltzmann equation, the applicability range of the theory has been restricted within rarefied monatomic gases. This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas, and mixture of gases in non-equilibrium. In particular we present the theory of dense gases with 14 fields, which reduces to the Navier-Stokes Fourier classical theory in the parabolic limit. Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecule?s internal degrees of freedom. Recent results on mixtures of gases with multi-temperature are presented together with a natural definition of the average temperature. The qualitative analysis and, in particular, the existence of the global smooth solution and the convergence to equilibrium are also studied by taking into account the fact that the differential systems are symmetric hyperbolic. Applications to shock and sound waves are analyzed together with light scattering and heat conduction, and the results are compared with experimental data. The book represents a valuable resource for applied mathematicians, physicists and engineers, offering powerful models for potential applications like satellites reentering the atmosphere, semiconductors, and nano-scale phenomena.
Bibliography, etc. Note
Includes bibliographical references and indexes.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
1 Introduction
2 Mathematical Structure
3 Waves in Hyperbolic Systems
4 Survey of ET of Rarefied Monatomic Gases
5 ET Theory of Polyatomic Rarefied Gas and Dense Gas
6 Maximum entropy principle for rarefied polyatomic gases
7 Stationary heat conduction in a polyatomic gas at rest
8 Linear Wave in Polyatomic Gas
9 Shock Wave
10 Fluctuating hydrodynamics
11 Light scattering in Polyatomic Gas
12 ET6 Theory of Polyatomic Rarefied Gas and Dense Gas
13 Non linear ET6
14 Molecular ET Theory of Polyatomic Rarefied Gas
15 ET of dense gas with 6 moments
16 Mixture of Gases
17 Hyperbolic Parabolic Limit, Max wellian iteration and Objectivity.
