Extended Thermodynamics for Dense Gases up to Whatever Order and with Only Some Symmetries

Carrisi, Maria Cristina; Tchame, Rita Enoh; Obounou, Marcel; Pennisi, Sebastiano

doi:10.3390/e17107052

Cited by 7 publications

(2 citation statements)

References 47 publications

(169 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is not a trivial aspect; in fact, if we impose the conditions up to a given order with respect to equilibrium, there is always the risk to obtain restrictions on the same expressions by imposing the equations at an higher order, and this problem has been investigated in [5,6]. Similarly, if we impose the conditions for a model with a given number of moments, there is always the risk to obtain restrictions on the same expressions by imposing the equations for the model with an higher number of moments!…”

Section: Introductionmentioning

confidence: 98%

Extended Thermodynamics of dense gases with many moments – The macroscopic approach

Carrisi

Pennisi

Sellier

2016

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 98%

Extended Thermodynamics of dense gases with many moments – The macroscopic approach

Carrisi

Pennisi

Sellier

2016

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

“…This problem has been overcome in Extended Thermodynamics of Polyatomic Gases by considering all the balance equations (1) of which the first one is called the "Mass-Block" of equations and the second is called the "Energy-Block" of equations. See, for example, the articles [9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

A Numberable Set of Exact Solutions for the Macroscopic Approach to Extended Thermodynamics of Polyatomic Gases with Many Moments

Carrisi¹,

Tchame²,

Obounou³

et al. 2016

Advances in Mathematical Physics

Self Cite

View full text Add to dashboard Cite

A new model for Polyatomic Gases with an arbitrary but fixed number of moments has been recently proposed and investigated in the framework of Extended Thermodynamics; the arbitrariness of the number of moments is linked to a numberNand the resulting model is called anN-Model. This model has been elaborated in order to take into account the entropy principle, the Galilean relativity principle, and some symmetry conditions. It has been proved that the solution for all these conditions exists, but it has not been written explicitly because hard notation is necessary; it has only been shown how the theory is self-generating in the sense that if we know the closure of theN-Model, then we will be able to find that of(N+1)-Model. Up to now only a single particular solution has been found in this regard. Instead of this, we find here a numberable set of exact solutions which hold for every fixed numberN.

show abstract

Extended thermodynamics of dense gases with at least 24 moments

2016

View full text Add to dashboard Cite

This article belongs to the research trend on dense and polyatomic gases\ud which began with a well known article by Profs. Arima, Taniguchi, Ruggeri, and\ud Sugiyama following the idea of considering two blocks of balance equations. Since a\ud model with more moments better fits the experimental data, this case has been considered\ud by Profs. Arima, Mentrelli and Ruggeri in the framework of the kinetic approach.\ud The present article pursues a similar end in the framework of the macroscopic approach\ud which is more general than the kinetic one. The general and explicit closure for the\ud 24 moments model is found up to whatever order with respect to equilibrium. It gets\ud to first base on which to build also the model with an arbitrary number of moments;\ud this more general model heavily needs the results of the present article

show abstract

Extended Thermodynamics for Dense Gases up to Whatever Order and with Only Some Symmetries

Cited by 7 publications

References 47 publications

Extended Thermodynamics of dense gases with many moments – The macroscopic approach

Extended Thermodynamics of dense gases with many moments – The macroscopic approach

A Numberable Set of Exact Solutions for the Macroscopic Approach to Extended Thermodynamics of Polyatomic Gases with Many Moments

Extended thermodynamics of dense gases with at least 24 moments

Contact Info

Product

Resources

About