Nonequilibrium pressure and temperatures in extended thermodynamics of gases with six fields

被引:0
作者
Takashi Arima
Masaru Sugiyama
机构
[1] Kanagawa University,Department of Mechanical Engineering, Faculty of Engineering
[2] Nagoya Institute of Technology,undefined
来源
Ricerche di Matematica | 2019年 / 68卷
关键词
Extended thermodynamics; Non-equilibrium thermodynamics; Nonequilibrium temperature; Nonequilibrium pressure; Dense polyatomic gas; 82C35; 76N15; 35Q35; 35L60;
D O I
暂无
中图分类号
学科分类号
摘要
We study the nonequilibrium pressure and temperatures within the framework of extended thermodynamics of gases with 6 independent fields. We derive thermodynamic relations for these quantities from the entropy principle. These relations indicate the usefulness of nonequilibrium thermodynamic potentials. We also introduce the nonequilibrium temperatures by using the caloric equation of state, and prove that the two different definitions of nonequilibrium temperature are equivalent to each other.
引用
收藏
页码:211 / 224
页数:13
相关论文
共 89 条
  • [1] Arima T(2012)Extended thermodynamics of dense gases Contin. Mech. Thermodyn. 24 271-292
  • [2] Taniguchi S(2013)Characteristic features of extended thermodynamics of dense gases Atti Accad. Pelorit. Pericol. 91 A1-A15
  • [3] Ruggeri T(2014)Recent developments in extended thermodynamics of dense and rarefied polyatomic gases Acta Appl. Math. 132 527-548
  • [4] Sugiyama M(2017)Rational extended thermodynamics of a rarefied polyatomic gas with molecular relaxation processes Phys. Rev. E 96 042143-1317
  • [5] Arima T(2013)Maximum entropy principle for polyatomic gases Phys. A. 392 1302-140
  • [6] Sugiyama M(2014)Molecular extended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments Ann. Phys. 345 111-291
  • [7] Ruggeri T(2014)Extended thermodynamics of rarefied polyatomic gases and characteristic velocities Rend. Lincei Mat. Appl. 25 275-737
  • [8] Sugiyama M(2013)Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics Contin. Mech. Thermodyn. 25 727-25
  • [9] Arima T(2014)A study of linear waves based on extended thermodynamics for rarefied polyatomic gases Acta Appl. Math. 132 15-593
  • [10] Ruggeri T(2014)Thermodynamic theory of the shock wave structure in a rarefied polyatomic gas: Beyond the Bethe-Teller theory Phys. Rev. E. 89 013025-2700