Extended thermodynamics of dense gases

Arima, Takashi; Taniguchi, Shigeru; Ruggeri, Tommaso; Sugiyama, Masaru

doi:10.1007/s00161-011-0213-x

Cited by 126 publications

(192 citation statements)

References 17 publications

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“…In particular, it has been shown that the momentum-like hierarchy is related to the classical moments of the distribution function, and the energy-like hierarchy is related to the moments with an additional continuous variable representing the internal energy of a molecule. The result obtained by MEP is in agreement with the macroscopic approach given in [100].…”

Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasessupporting

confidence: 88%

“…In fact, the two hierarchies of moment equations obtained with the distribution function presented in [33] are consistent with the hierarchies presented in [100]. In particular, it has been shown that the momentum-like hierarchy is related to the classical moments of the distribution function, and the energy-like hierarchy is related to the moments with an additional continuous variable representing the internal energy of a molecule.…”

Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasessupporting

confidence: 79%

“…A RET theory of dense gases and of rarefied polyatomic ones has recently been developed by Arima, Taniguchi, Ruggeri and Sugiyama which adopts the 14-moment: the mass density, velocity, shear stress, dynamic pressure, energy and heat flux as independent fields [100]. This theory provides two parallel hierarchies.…”

Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasesmentioning

confidence: 99%

“…In the case of 14 moments it is possible to deduce using the previous hierarchy (56) the closure of the system also for dense gas [100].…”

Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasesmentioning

confidence: 99%

See 3 more Smart Citations

Entropy Principle and Recent Results in Non-Equilibrium Theories

Cimmelli

Jou

Ruggeri

et al. 2014

Entropy

100

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We present the state of the art on the modern mathematical methods of exploiting the entropy principle in thermomechanics of continuous media. A survey of recent results and conceptual discussions of this topic in some well-known non-equilibrium theories (Classical irreversible thermodynamics CIT, Rational thermodynamics RT, Thermodynamics of irreversible processes TIP, Extended irreversible thermodynamics EIT, Rational Extended thermodynamics RET) is also summarized.

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Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasessupporting

confidence: 88%

Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasessupporting

confidence: 79%

Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasesmentioning

confidence: 99%

“…In the case of 14 moments it is possible to deduce using the previous hierarchy (56) the closure of the system also for dense gas [100].…”

Section: Rational Extended Thermodynamics Of Polyatomic and Dense Gasesmentioning

confidence: 99%

See 2 more Smart Citations

Entropy Principle and Recent Results in Non-Equilibrium Theories

Cimmelli

Jou

Ruggeri

et al. 2014

Entropy

100

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“…Finally, another model in this context can be found in [31], and this will surely be the object of further investigations in the future.…”

Section: Introductionmentioning

confidence: 94%

Entropy Principle and Galilean Relativity for Dense Gases, the General Solution without Approximations

Carrisi

Montisci

Pennisi

2013

Entropy

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The many moments model for dense gases and macromolecular fluids is considered here, where the upper order moment is chosen in accordance to the suggestions of the non-relativistic limit of the corresponding relativistic model. The solutions of the restrictions imposed by the entropy principle and that of Galilean relativity were, until now, obtained in the literature by using Taylor expansions around equilibrium and without proving convergence. Here, an exact solution without using expansions is found. The particular case with only 14 moments has already been treated in the literature in a completely different way. Here, it is proven that this particular closure is included in the presently more general one.

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Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics

Ruggeri

Taniguchi

2019

Mathematics of Planet Earth

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Extended thermodynamics of dense gases

Cited by 126 publications

References 17 publications

Entropy Principle and Recent Results in Non-Equilibrium Theories

Entropy Principle and Recent Results in Non-Equilibrium Theories

Entropy Principle and Galilean Relativity for Dense Gases, the General Solution without Approximations

Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics

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