Abstract
This article belongs to the research trend on dense and polyatomic gases which began with a well known article by Profs. Arima, Taniguchi, Ruggeri, and Sugiyama following the idea of considering two blocks of balance equations. Since a model with more moments better fits the experimental data, this case has been considered by Profs. Arima, Mentrelli and Ruggeri in the framework of the kinetic approach. The present article pursues a similar end in the framework of the macroscopic approach which is more general than the kinetic one. The general and explicit closure for the 24 moments model is found up to whatever order with respect to equilibrium. It gets to first base on which to build also the model with an arbitrary number of moments; this more general model heavily needs the results of the present article.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Arima, T., Taniguchi, S., Ruggeri, T., Sugiyama, M.: Extended thermodynamics of dense gases. Continuum Mech. Thermodyn. 24, 271 (2012). doi:10.1007/s00161-011-0213-x
Arima, T., Taniguchi, S., Ruggeri, T., Sugiyama, M.: Extended thermodynamics of real gases with dynamic pressure: An extension of Meixner theory. Phys. Lett. A 376, 2799 (2012). doi:10.1016/j.physleta.2012.08.030
Arima, T., Mentrelli, A., Ruggeri, T.: Molecular Eextended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments. Ann. Phys. 345, 111 (2014). doi:10.1016/j.aop.2014.03.011
Arima, T., Barbera, E., Brini, F., Sugiyama, M.: The role of the dynamic pressure in stationary heat conduction of a rarefied polyatomic gas. Phys. Lett. A 378, 2695 (2014). doi:10.1016/j.physleta.2014.07.03
Barbera, E., Brini, F., Sugiyama, M.: Heat transfer problem in a Van Der Waals gas. Acta Appl. Math. 132, 41 (2014). doi:10.1007/s10440-014-9892-1
Carrisi, M.C., Pennisi, S.: Extended thermodynamics for dense gases up to whatever order. Int. J. Nonlinear Mech. 77, 74 (2015). doi:10.1016/ijnonlinmec.2015.07.011
Carrisi, M.C., Pennisi, S.: An 18 moments model for dense gases: Entropy and Galilean relativity principles without expansions. Entropy 2014, 214 (2015). doi:10.3390/e17010214
Carrisi, M.C., Tchame, R.E., Obounou, M., Pennisi, S.: Extended thermodynamics for dense gases up to whatever order and with only some symmetries. Entropy 17, 7052 (2015). doi:10.3390/e17107052
Carrisi, M.C., Pennisi, S., Ruggeri, T., Sugiyama, M.: Extended thermodynamics of dense gases in the presence of dynamic pressure. Ric. Mat. 64, 403 (2015). doi:10.1007/s11587-015-0247-7
Carrisi, M.C., Tchame, R.E., Obounou, M., Pennisi, S.: An exact solution for the macroscopic approach to extended thermodynamics of dense gases with many moments. IJPAM 106, 171 (2016). doi:10.127321
Ruggeri, T., Sugiyama, M.: Rational Extended Thermodynamics Beyond the Monatomic Gas. Springer, New York (2015). doi:10.1007/978-3-319-13341-6
Pennisi, S., Ruggeri, T.: A new method to exploit the entropy principle and Galilean invariance in the macroscopic approach of extended thermodynamics. Ric. Mat. 55, 319 (2006). doi:10.1007/s11587-006-0019-5
Boillat, G., Ruggeri, T.: Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions. Arch. Rat. Mech. Anal. 137, 305 (1997). doi:10.1007/s002050050030
Liu, I.-S.: Method of Lagrange multipliers for exploitation of the entropy principle. Arch. Rat. Mech. Anal. 45, 131 (1972). doi:10.1007/BF00250688
Carrisi, M.C., Pennisi, S., Sellier, J.M.: Extended thermodynamics of dense gases with many moments—The macroscopic approach (2016) (Submitted for publication)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Carrisi, M.C., Pennisi, S. & Sellier, J.M. Extended thermodynamics of dense gases with at least 24 moments. Ricerche mat 65, 505–522 (2016). https://doi.org/10.1007/s11587-016-0271-2
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11587-016-0271-2