Extended thermodynamics of dense gases

被引:105
作者
Arima, T. [1 ]
Taniguchi, S. [2 ]
Ruggeri, T. [3 ,4 ]
Sugiyama, M. [1 ]
机构
[1] Nagoya Inst Technol, Grad Sch Engn, Nagoya, Aichi 4668555, Japan
[2] Nagoya Inst Technol, Ctr Social Contribut & Collaborat, Nagoya, Aichi 4668555, Japan
[3] Univ Bologna, Dept Math, Bologna, Italy
[4] Univ Bologna, Res Ctr Appl Math CIRAM, Bologna, Italy
关键词
Extended thermodynamics; Dense gas; Dynamic pressure; Virial equations of state; Hard-sphere system; van der Waals fluid; HYPERBOLIC SYSTEM; EQUATIONS; FLUIDS; STATE;
D O I
10.1007/s00161-011-0213-x
中图分类号
O414.1 [热力学];
学科分类号
摘要
We study extended thermodynamics of dense gases by adopting the system of field equations with a different hierarchy structure to that adopted in the previous works. It is the theory of 14 fields of mass density, velocity, temperature, viscous stress, dynamic pressure, and heat flux. As a result, most of the constitutive equations can be determined explicitly by the caloric and thermal equations of state. It is shown that the rarefied-gas limit of the theory is consistent with the kinetic theory of gases. We also analyze three physically important systems, that is, a gas with the virial equations of state, a hard-sphere system, and a van der Waals fluid, by using the general theory developed in the former part of the present work.
引用
收藏
页码:271 / 292
页数:22
相关论文
共 26 条
[1]  
[Anonymous], 1974, NONEQUILIBRIUM STAT
[2]  
[Anonymous], 1998, Rational Extended Thermodynamics
[3]  
[Anonymous], 1958, FLUID MECH
[4]   WHAT IS LIQUID - UNDERSTANDING STATES OF MATTER [J].
BARKER, JA ;
HENDERSON, D .
REVIEWS OF MODERN PHYSICS, 1976, 48 (04) :587-671
[5]   EQUATION OF STATE FOR NONATTRACTING RIGID SPHERES [J].
CARNAHAN, NF ;
STARLING, KE .
JOURNAL OF CHEMICAL PHYSICS, 1969, 51 (02) :635-&
[6]   On some remarkable properties of an extended thermodynamic model for dense gases and macromolecular fluids [J].
Carrisi, M. C. ;
Mele, M. A. ;
Pennisi, S. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2010, 466 (2118) :1645-1666
[7]  
de Groot S., 1963, NONEQUILIBRIUM THERM
[8]   THERMODYNAMICS OF A DIATOMIC GAS WITH ROTATIONAL AND VIBRATIONAL DEGREES OF FREEDOM [J].
ENGHOLM, H ;
KREMER, GM .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1994, 32 (08) :1241-1252
[9]   SYSTEMS OF CONSERVATION EQUATIONS WITH A CONVEX EXTENSION [J].
FRIEDRICHS, KO ;
LAX, PD .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1971, 68 (08) :1686-+
[10]   ON THE KINETIC THEORY OF RAREFIED GASES [J].
GRAD, H .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1949, 2 (04) :331-407