On some remarkable properties of an extended thermodynamic model for dense gases and macromolecular fluids

被引:9
作者
Carrisi, M. C. [1 ]
Mele, M. A. [1 ]
Pennisi, S. [1 ]
机构
[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09124 Cagliari, Italy
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2010年 / 466卷 / 2118期
关键词
continuum thermodynamics; supplementary conservation law; relativity principle; ISOTROPIC FUNCTIONS; SYMMETRIC TENSORS; ORDER; REPRESENTATIONS; CONSISTENT; VECTORS;
D O I
10.1098/rspa.2009.0528
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Recently, the 14 moments model of extended thermodynamics for dense gases and macromolecular fluids has been considered and an exact solution, of the restrictions imposed by the entropy principle and that of Galilean relativity, has been obtained without using Taylor's expansions. Here, we prove the uniqueness of the above solution and exploit other pertinent conditions such as the convexity of the function h' related to the entropy density, the problem of subsystems and the fact that the flux in the conservation law of mass must be the moment of order 1 in the conservation law of momentum. The results present interesting aspects which were not suspected when only approximated solutions of this problem were known.
引用
收藏
页码:1645 / 1666
页数:22
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