Rational Extended Thermodynamics beyond the Monatomic Gas

2015 ◽  
Author(s):  
Tommaso Ruggeri ◽  
Masaru Sugiyama
Keyword(s):  
Extended Thermodynamics ◽  
Rational Extended Thermodynamics ◽  
Monatomic Gas

scholarly journals Acceleration Waves in Rational Extended Thermodynamics of Rarefied Monatomic Gases

Fluids ◽  
2020 ◽  
Vol 5 (3) ◽  
pp. 139
Author(s):  
Francesca Brini ◽  
Leonardo Seccia
Keyword(s):  
Shock Wave ◽  
Extended Thermodynamics ◽  
Rarefied Gases ◽  
Acceleration Wave ◽  
One Dimensional ◽  
Acceleration Waves ◽  
Rational Extended Thermodynamics ◽  
Monatomic Gas ◽  
Non Equilibrium

Rational Extended Thermodynamics theories with different number of moments are usually introduced to study non-equilibrium phenomena in rarefied gases. Here, we use them to describe one-dimensional acceleration waves in a rarefied monatomic gas. In particular, we focus on the degeneracy of the acceleration wave to a shock wave, in order to test the validity of the models and the role played by an increasing number of moments. As a byproduct, some peculiarities of the characteristic velocities at equilibrium are analyzed as well.

Monatomic gas as a singular limit of polyatomic gas in molecular extended thermodynamics with many moments

2016 ◽  
Vol 372 ◽  
pp. 83-109 ◽  
Author(s):  
Takashi Arima ◽  
Tommaso Ruggeri ◽  
Masaru Sugiyama ◽  
Shigeru Taniguchi
Keyword(s):  
Singular Limit ◽  
Extended Thermodynamics ◽  
Polyatomic Gas ◽  
Monatomic Gas

scholarly journals Relationships between rational extended thermodynamics and extended irreversible thermodynamics

2020 ◽  
Vol 378 (2170) ◽  
pp. 20190172 ◽  
Author(s):  
David Jou
Keyword(s):  
Nonequilibrium Thermodynamics ◽  
Irreversible Thermodynamics ◽  
Extended Thermodynamics ◽  
Internal Variables ◽  
Second Law ◽  
Hamiltonian Approach ◽  
Theme Issue ◽  
Extended Irreversible Thermodynamics ◽  
Independent Variables ◽  
Rational Extended Thermodynamics

We consider a few conceptual questions on extended thermodynamics, with the aim to contribute to a higher contact between rational extended thermodynamics and extended irreversible thermodynamics. Both theories take a number of fluxes as independent variables, but they differ in the formalism being used to deal with the exploitation of the second principle (rational thermodynamics in the first one and classical irreversible thermodynamics in the second one). Rational extended thermodynamics is more restricted in the range of systems to be analysed, but it is able to obtain a wider number of restrictions and deeper specifications from the second law. By contrast, extended irreversible thermodynamics is more phenomenological, its mathematical formalism is more elementary, but it may deal with a wider diversity of systems although with less detail. Further comparison and dialogue between both branches of extended thermodynamics would be useful for a fuller deployment and deepening of extended thermodynamics. Besides these two approaches, one should also consider the Hamiltonian approach, formalisms with internal variables, and more microscopic approaches, based on kinetic theory or on non-equilibrium ensemble formalisms. This article is part of the theme issue ‘Fundamental aspects of nonequilibrium thermodynamics’.

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