The Burnett equations for a relativistic gas

Citation
Ll. Samojeden et Gm. Kremer, The Burnett equations for a relativistic gas, CONTIN MECH, 12(6), 2000, pp. 387-401
Citations number
15
Categorie Soggetti
Mechanical Engineering
Journal title
CONTINUUM MECHANICS AND THERMODYNAMICS
ISSN journal
09351175 → ACNP
Volume
12
Issue
6
Year of publication
2000
Pages
387 - 401
Database
ISI
SICI code
0935-1175(200012)12:6<387:TBEFAR>2.0.ZU;2-K
Abstract
The Burnett constitutive equations for the dynamic pressure, heat flux and pressure deviator are obtained from the relativistic Boltzmann equation by using fourteen moment equations and an iteration method akin to the Maxwell ian iteration procedure of the non-relativistic theory. The non-relativisti c and ultra-relativistic limits of all Burnett coefficients are given and i t is shown that the non-relativistic limit of the Burnett constitutive equa tions agree with those obtained from the non-relativistic Boltzmann equatio n.