Burnett's equations from a (13+9n)-field theory

Continuum Mechanics and Thermodynamics

Volumn 8, Issue 2, 1996, Pages 121-130

  Reinecke, Suzana ^a   Kremer, G M ^a  

^a FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030304462     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01184766     Document Type: Article

References (18)

1. Maxwell JC (1879) On stresses in rarefied gases arising from inequalities of temperature. Phil. Trans. Roy. Soc. 170: 231-262
2. Burnett D (1935) The distribution of molecular velocities and the mean motion in a non-uniform gas. Proc. Lond. Math. Soc. 40: 382-435
3. Chapman S, Cowling TG (1979) The mathematical theory of nonuniform gases. Cambridge: Cambridge University Press
4. Wang-Chang CS, Uhlenbeck GE (1970) On the transport phenomena in monatomic gases. Studies in statistical mechanics (Ed. J. de Boer and G. E. Uhlenbeck). Vol. V, pp. 1-16, Amsterdam, North-Holland
5. Wang-Chang CS (1970) On the dispersion of sound in helium. Studies in statistical mechanics, ed. J. de Boer and G. E. Uhlenbeck, Vol. V, pp. 17-26. Amsterdam: North-Holland
6. Foch J, Uhlenbeck GE (1967) Propagation of sound in monatomic gases. Phys. Rev. Lett. 19: 1025-1027
7. Foch J, Ford GW (1970) The dispersion of sound in monatomic gases. In: Studies in statistical mechanics. (Ed. J. de Boer and G. E. Uhlenbeck) Vol. V, pp. 103-231. Amsterdam, North-Holland
8. Ranganathan S, Nelkin M (1967) Sound dispersion in dilute monatomic gases. Phys. Fluids 10: 2085-2087
9. Foch J (1968) Light scattering by dilute monatomic gases using the Burnett equations. Phys. Fluids 11: 2336-2340
10. Kogan MN, Galkin VS, Fridlender OG (1976) Stress produced in gases by temperature and concentration inhomogeneities. New types of free convection. Sov. Phys. Usp. 19: 420-428
11. Kogan MN (1991) Non Navier-Stokes gasdynamics and thermal-stress phenomena. In: Rarefied gas dynamics (Ed. A.E. Beylich) pp. 15-24. Weinheim, VCH
12. Reinecke S, Kremer GM (1990) Method of moments of Grad. Phys. Rev. A42: 815-820
13. Reinecke S, Kremer GM (1991) Successive approximations to the transport coefficients. In: Rarefied gas dynamics. (Ed. A.E. Beylich) pp. 320-327 Weinheim: VCH
14. Reinecke S, Kremer GM (1991) A generalization of the Chapman-Enskog and Grad methods. Continuum Mech. Thermodyn. 3: 155-167
15. Grad H (1949) On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2: 331-407
16. Ikenberry E, Truesdell C (1956) On the pressures and the flux of energy in a gas according to Maxwell's kinetic theory. I. J. Rational Mech. Anal. 5: 1-54
17. Truesdell C, Muncaster RG (1980) Fundamentals of Maxwell's kinetic theory of a simple monatomic gas. New York: Academic Press
18. Reinecke S, Kremer GM (1995) Transport coefficients for monatomic gases according to a Lennard-Jones 6-12 potential. J. Non-Equilib. Thermodyn. 20: 183-189