On stationary heat conduction in 3D symmetric domains: an application of extended thermodynamics

被引:13
作者
Barbera, Elvira [1 ]
Brini, Francesca [2 ,3 ]
机构
[1] Univ Messina, Di SIA, I-98166 Messina, Italy
[2] Univ Bologna, Dipartimento Matemat, I-40123 Bologna, Italy
[3] Univ Bologna, CIRAM, I-40123 Bologna, Italy
关键词
IRREVERSIBLE-PROCESSES; TRANSPORT PROCESSES; INTERNAL VARIABLES; RAREFIED-GAS; TEMPERATURE; NONEQUILIBRIUM; SCATTERING; ENTROPY; FLOW;
D O I
10.1007/s00707-010-0330-9
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, we study some three-dimensional stationary heat conduction problems in rarefied gases at rest, using the linearized 13-moment equations of extended thermodynamics. It follows that, in this linear theory, the temperature is still described by the Fourier law of heat conduction, while in contrast with the Navier-Stokes law, the stress tensor does not vanish. Furthermore, a non-equilibrium temperature is introduced and differences between this temperature and the kinetic one are predicted.
引用
收藏
页码:241 / 260
页数:20
相关论文
共 47 条
[1]  
[Anonymous], 1997, Thermodynamics and rheology
[2]  
[Anonymous], 1998, Rational Extended Thermodynamics
[3]  
[Anonymous], THERMODYNAMICS FLUID
[4]  
[Anonymous], 1984, RATIONAL THERMODYNAM
[5]   Inherent frame dependence of thermodynamic fields in a gas [J].
Barbera, E. ;
Mueller, I. .
ACTA MECHANICA, 2006, 184 (1-4) :205-216
[7]   On the temperature of a rarefied gas in non-equilibrium [J].
Barbera, E ;
Müller, I ;
Sugiyama, M .
MECCANICA, 1999, 34 (02) :103-113
[8]   Secondary heat flow between confocal ellipses -: An application of extended thermodynamics [J].
Barbera, Elvira ;
Mueller, Ingo .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2008, 153 (2-3) :149-156
[9]   A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].
BHATNAGAR, PL ;
GROSS, EP ;
KROOK, M .
PHYSICAL REVIEW, 1954, 94 (03) :511-525
[10]  
BOILLAT G, 1974, CR ACAD SCI A MATH, V278, P909