Extended thermodynamics of dense gases in the presence of dynamic pressure

被引：8

作者：

Carrisi M.C. ^{[1
]}

Pennisi S. ^{[1
]}

Ruggeri T. ^{[2
]}

Sugiyama M. ^{[3
]}

机构：

[1] Department of Mathematics and Informatics, University of Cagliari, Cagliari

[2] Department of Mathematics, Alma Mater Research Center on Applied Mathematics AM 2, University of Bologna, Bologna

[3] Graduate School of Engineering, Nagoya Institute of Technology, Nagoya

来源：

Ricerche di Matematica | 2015年 / 64卷 / 2期

基金：

日本学术振兴会;

关键词：

6-field theory; Dense gas; Extended thermodynamics;

D O I：

10.1007/s11587-015-0247-7

中图分类号：

学科分类号：

摘要：

Extended thermodynamics (ET) developed up to now fails when a gas is very dense and is composed of molecules with small internal degrees of freedom because the condition of convexity (stability) is violated. The aim of this paper is to explore a possible approach to construct an ET theory that is valid for any dense gas with the condition that it reduces to the usual ET theory when a gas is sufficiently rarefied. We restrict our study, for simplicity, within the simplest case in which the dissipation is only due to the dynamic pressure. Therefore the basic system of equations is the simplest variant of the Euler system, that is, the system composed of the equations for the conservation laws and an equation for the dynamic pressure (6-field theory). © 2015, Università degli Studi di Napoli Federico II"."

引用

页码：403 / 419

页数：16

共 42 条

[1]

Muller I., Ruggeri T., Rational Extended Thermodynamics, (1998)

[2]

Ruggeri T., Sugiyama M., Rational Extended Thermodynamics Beyond the Monatomic Gas, (2015)

[3]

Liu I.-S., Muller I., Extended thermodynamics of classical and degenerate ideal gases, Arch. Rational Mech. Anal., 83, 4, (1983)

[4]

Liu I.-S., Muller I., Ruggeri T., Relativistic thermodynamics of gases, Ann. Phys, 169, (1986)

[5]

Engholm H., Kremer G.M., Thermodynamics of a diatomic gas with rotational and vibrational degrees of freedom, Int. J. Eng. Sci., 32, 8, (1984)

[6]

Kremer G.M., Extended thermodynamics and statistical mechanics of a polyatomic ideal gas, J. Non-Equilib. Thermodyn., 14, (1989)

[7]

Kremer G.M., Extended thermodynamics of molecular ideal gases, Contin. Mech. Thermodyn., 1, (1989)

[8]

Liu I.-S., Extended thermodynamics of fluids and virial equations of state, Arch. Rational Mech. Anal., 88, (1985)

[9]

Kremer G.M., Extended thermodynamics of non-ideal gases, Physica, 144A, (1987)

[10]

Liu I.-S., Kremer G.M., Hyperbolic system of field equations for viscous fluids, Math. Appl. Comput., 9, 2, (1990)

← 1 2 3 4 5 →