Transport properties in reacting mixture of polyatomic gases

Physica A: Statistical Mechanics and its Applications

Volumn 247, Issue 1-4, 1997, Pages 526-552

  Chikhaoui, A ^a   Dudon, J P ^a   Kustova, E V ^a   Nagnibeda, E A ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Kinetic theory; Polyatomic gases; Reacting flows; Transport properties

Indexed keywords

DIFFUSION IN GASES; HEAT FLUX; MATHEMATICAL MODELS; MIXTURES; MOLECULAR VIBRATIONS; REACTION KINETICS; TRANSPORT PROPERTIES;

CHAPMAN ENSKOG METHOD; POLYATOMIC GASES;

KINETIC THEORY OF GASES;

EID: 0031353358     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(97)00392-0     Document Type: Article

References (32)

1. C.S. Wang Chang, G.E. Uhlenbeck, Transport phenomena in polyatomic gases, Report No. CM-681, University of Michigan Research Report, July 1951.
2. E.A. Mason, L. Monchick, Transport properties of polar gas mixtures, J. Chem. Phys. 36 (1962) 2746.
3. S.V. Vallander, E.A. Nagnibeda, M.A. Rydalevskaya, Some Questions of the Kinetic Theory of the Chemical Reacting Gas Mixture, Leningrad University Press, Leningrad, 1977 (in Russian), Translation: US Air Force FASTC-ID (RS) TO-0608-93.
4. R. Brun, Transport phenomena in relaxing gas mixtures: models and applications, in: A.E. Beylich (Ed.), Rarefied Gas Dynamics vol. 17. New York, Basel, Cambridge, 1991. VCH, Weinheim.
5. S. Pascal, R. Brun, Transport properties of nonequilibrium gas mixtures, Phys. Rev. E, 47 (1993) 3251.
6. C.A Kennedy, Bibliography for the kinetic theory of reacting gases, CECR Report 94-01, The University of California, San Diego, 1994.
7. A. Ern, V. Giovangigli, Multicomponent transport algorithms, Lecture Notes in Physics, Series Monographs, vol. M24, Springer, Berlin, 1994.
8. E.V. Kustova, E.A. Nagnibeda, The influence of non-boltzmann vibrational distribution on thermal conductivity and viscosity, in M. Capitelli (Ed.), Molecular Physics and Hypersonic Flows, Kluwer, Netherlands, 1996.
9. Ye. V. Stupochenko, S.A. Losev, A.I. Osipov, Relaxation in Shock Waves, Springer, Berlin, 1967.
10. L. Waldmann, Transporterscheignungen in gasen von mittlerem druck. In: S. Flugge (Ed.), Handbuch der Physik, Springer, Berlin, 1958.
11. E.A. Nagnibeda, M.A. Rydalevskaya, Detailed balance principle and kinetic equations for reacting gas mixture, Vestnik of Leningrad University, Math. Mech. Astr. 19 (1970) 140 (in Russian).
12. G. Ludwig, M. Heil, Boundary layer theory with dissociation and ionization. in: Advances in Applied Mechanics, vol. VI, Academic Press, New York, 1960.
13. E.A. Nagnibeda, M.A. Rydalevskaya, The derivation of the equations for macroparameters from the kinetic equations in the mixture of dissociating gases, in: Aerodinamika Razrezhennykh Gazov, vol. IX, Leningrad University Press, Leningrad, 1977 (in Russian).
14. I. Kuščer. Dissociation and recombination in an inhomogeneous gas, Physica A 176 (1991) 542.
15. B.V. Alexeev, A. Chikhaoui, I.T. Grushin, Application of the generalized Chapman-Enskog method to the transport-coefficients calculation in a reacting gas mixture, Phys. Rev. E 49 (1994) 2809.
16. E.A. Nagnibeda, M.A. Rydalevskaya, The equations describing a mixture of nonequilibrium viscous dissociating gases, in: Aerodinamika Razrezhennykh Gazov, vol. X, Leningrad University Press, Leningrad, 1980 (in Russian).
17. J.H. Ferziger, H.G. Kaper, Mathematical Theory of Transport Processes in Gases, North-Holland, Amsterdam, London, 1972.
18. E.A. Nagnibeda, Level kinetics of the dissociation and vibrational relaxation behind shock waves, Shock Waves, Marseille, R. Brun, L.Z. Dumitrescu (Ed.), Physico-Chemical Processes and Nonequilibrium Flow, vol. II, Springer. Berlin, 1995.
19. J.G. Méolans. M. Mouti, F. Lordet, A. Chauvin, Vibration-dissociation phenomena in shock-heated nitrogen, Shock Waves, Marseille, R. Brun, L.Z. Dumitrescu (Ed.), Physico-Chemical Processes and Nonequilibrium Flow, vol. 2, Springer, Berlin. 1995.
20. D.A. Gonzales, P.L. Varghese, Evaluation of simple rate expressions for vibrational-dissociation coupling, J. Thermophys. Heat Transfer 8 (2) (1994) 236.
21. C.E. Treanor, I.W. Rich, R.G. Rehm, Vibrational relaxation of anharmonic oscillators with exchange dominated collisions, J. Chem. Phys. 48 (1968) 1798.
22. B.F. Gordiets, A.I. Osipov, L.A. Shelepin, Kinetic Processes in Gases and Molecular Lasers, Gordon and Breach, Amsterdam, 1988.
23. G. Herzberg, Infrared and Raman Spectra of Polyatomic Molecules, D. Van Nostrand, New York, 1951.
24. E.V. Kustova, E.A. Nagnibeda, New kinetic model of transport processes in the strong nonequilibrium gas. in: J. Harvey, G. Lord. (Eds.), Rarefied Gas Dynamics 19, vol. 1, Oxford University Press, Oxford, 1995.
25. E.V. Kustova, Kinetic model of molecular gas dynamics in strong nonequilibrium conditions, Vestnik of St.Petersburg University, Math. Mech. Astr. 2 (1995) 60-65 (in Russian).
26. 2, AIAA Paper (1988) 88.
27. C. Park, Nonequilibrium Hypersonic Aerothermodynamics. Wiley, New York, 1990.
28. L. Waldmann, E. Trübenbacher, Formale kinetische Theorie von Gasgemischten aus anregbaren Molekulen, Z. Natur. A17 (1962) 364.
29. B.C. Thijsse, G.W.'t Hooft. D.A. Coombe, H.F.P. Knaap, J.J.M. Beenakker. Physica A 98 (1979) 307.
30. R.J. van den Oord, M.C. De Lignie, J.J.M. Beenakker, J. Korving, The role of internal energy in the distribution function of a heat conducting gas, Physica A 152 (1988) 199.
31. E.V. Kustova, E.A. Nagnibeda, Strong nonequilibrium effects on specific heats and thermal conductivity of diatomic gas, Chem. Phys. 208 (3) (1996) 313.
32. L. Monchick, K.S. Yun, E.A. Mason. Formal kinetic theory of transport phenomena in polyatomic gas mixtures, J. Chem. Phys. 39 (1963) 654.