Abstract
The paper deals with the kinetic theory of transport processes in molecular gases with rotational and vibrational degrees of freedom excited. Considered are the conditions of strong vibrational nonequilibrium and weak rotational and translational one. In particular we investigate the case when vibrational energy store appears to be higher than its equilibrium value and anharmonic effects become to be important. In order to derive theoretical formulas for pressure tensor and heat flux a generalized Chapman-Enskog method is used. Non-Boltzmann distribution functions in zeroth approach are obtained with taking into account anharmonism of vibrations and different energy exchanges on various energy levels. Starting from these distributions, heat conductivity, bulk and shear viscosity coefficients and relaxation pressure are calculated in a wide range of vibrational and translational-rotational temperature and real gas effects are estimated. The comparison with other models and with experiment is given.
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Kustova, E.V. and Nagnibeda, E.A. (1994) New kinetic model of transport processes in the strong nonequilibrium gas, in 19th Int. Symp. on RGD. Book of abstracts, Oxford Univ. Press, England.
Kustova, E.V. (1995) Kinetic model of the molecular gas dynamics in the strong nonequilibrium conditions (in Russian), Vestnik SPU. Math., mech., asti. 1.
Pascal, S. and Brun, R. (1993) Transport properties of nonequilibrium gas mixtures, Phys. Review E 47, 5, 3251–3267.
Gordietz, B.F., Zhdanok, C.A. (1986) Vibrational kinetics of anharmonic oscillators, in M.Capitelli (ed.) Nonequilibrium vibrational kinetics, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, pp. 61–103.
Parker, J.G. (1959) Rotational and vibrational relaxation in diatomic gases, Phys. Fluids 2, 449–461.
Kustova, E.V. (1993) About the influence of vibrational and rotational nonequilibrium on the heat conductivity of molecular gas (in Russian), Vestnik SPU. Math., mech., astr. 4, 60–65.
Prangsma, G.J., Alherga, A.H., Beenaker, J.J. (1973) Ultrasonic determination of the volume viscosity of N 2, Co, CH, CO 2 between 77 and 300K, Physics 64, 278–288.
Van den Oord, R.J., Korving, J. (1988) The thermal conductivity of polyatotnic molecules, J. Chem. Phys, 89, 7, 4333–4338.
Brun, R. (1990) Transport phenomena in relaxing gas mixtures: models and applications, in Proceedings of the 17th International Symposium on RGD, Aachen, VCH, Weinheim-New-York, pp. 379–390.
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© 1996 Kluwer Academic Publishers
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Kustova, E.V., Nagnibeda, E.A. (1996). The Influence of Non-Boltzmann Vibrational Distribution on Thermal Conductivity and Viscosity. In: Capitelli, M. (eds) Molecular Physics and Hypersonic Flows. NATO ASI Series, vol 482. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0267-1_23
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DOI: https://doi.org/10.1007/978-94-009-0267-1_23
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6604-4
Online ISBN: 978-94-009-0267-1
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