Rational Extended Thermodynamics beyond the Monatomic Gas

Authors: Ruggeri, Tommaso, Sugiyama, Masaru

  • Contains very new results that are not yet presented in other similar books
  • Enlarge the spectrum of Rational Extended thermodynamic to polyatomic gas and mixture with multi temperature for possible applications in the research fields, for example, of re-entry of satellites into the atmosphere, semi-conductors, nano-scale phenomena
  • Elucidates intimate relationship between nonequilibrium thermodynamics and the symmetric hyperbolic systems with relaxation
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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-13341-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-13340-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-36479-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

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.

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.







About the authors
Reviews

“This research book presents a lucid explanation of rational extended thermodynamics, including most recent developments. The methodology of the book can provide important models for some applications in current advanced technology. The book, which lists up some open problems, will be of interest to applied mathematicians, physicists and engineers, and it will certainly stimulate further research on the subject.” (M. Cengiz Dökmeci, zbMATH 1330.76003, 2016)


Table of contents (19 chapters)

  • Introduction

    Ruggeri, Tommaso (et al.)

    Pages 1-32

  • Mathematical Structure

    Ruggeri, Tommaso (et al.)

    Pages 35-53

  • Waves in Hyperbolic Systems

    Ruggeri, Tommaso (et al.)

    Pages 55-76

  • RET of Rarefied Monatomic Gas

    Ruggeri, Tommaso (et al.)

    Pages 79-106

  • RET 14-Field Theory of Polyatomic Gas and Dense Gas

    Ruggeri, Tommaso (et al.)

    Pages 109-137

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-13341-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-13340-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-36479-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Rational Extended Thermodynamics beyond the Monatomic Gas
Authors
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-13341-6
DOI
10.1007/978-3-319-13341-6
Hardcover ISBN
978-3-319-13340-9
Softcover ISBN
978-3-319-36479-7
Edition Number
1
Number of Pages
XXIV, 376
Number of Illustrations and Tables
25 b/w illustrations, 27 illustrations in colour
Topics