Abstract
Taking account of rotational and vibrational degrees of freedom of the molecules, a system of equations has been obtained for a molecular gas which describes slightly nonequilibrium states with a length and time on the order of magnitude of the length and time of the rotational and vibrational relaxation. By solving this system, which describes the propagation of sound and the transfer process, the absorption coefficient, the dispersion of the velocity of sound, the transfer coefficients (in particular, the thermal conductivity coefficient), and an expression for the total tensor of the pressures have been found and analyzed.
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Literature cited
V. M. Zhadanov, “The kinetic theory of a monatomic gas,” Zh. Éksp. i Tekhn. Fiz.,53, No. 6, 2099 (1967).
C. S. Wang-Chang, G. E. Uhlenbeck, and J. de Boer, “The heat conductivity and viscosity of polyatomic gases,” in: Studies in Statistical Mechanics, Vol. 2 (1964).
L. Waldmann and E. Trübenacher, “Formale Kinetische Theorie von Gas, Gemischen aus Angrebaren Molekülen,” Z. Naturforsch.,17a, 363–376 (1962).
H. Grad, “On the kinetic theory of rarefied gases,” Commun. Pure and Appl. Math.,2, No. 4, 331–407 (1949).
L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 5, Statistical Physics [in Russian], Izd. Nauka, Moscow (1964).
E. V. Stupochenko, S. A. Losev, and A. I. Osipov, Relaxation Processes in Shock Waves [in Russian], Izd. Nauka, Moscow (1965).
V. M. Kuznetsov, “Kinetic coefficients in the theory of two-temperature vibrational relaxation,” Izv. Akad. Nauk SSSR, Mekhanika, No. 3 (1965).
Properties of Gases, Liquids, and Solutions [Russian translation], Izd. Mir, Moscow (1968).
T. Sherman, “Comparison of the kinetic theory with experiment for rarefied gases,” in: The Gas Dynamics of Rarefied Gases [Russian translation], Izd. Inostr. Lit., Moscow (1963).
L. Monchick, A. N. G. Pereira, and E. A. Mason, “Heat conductivity of polyatomic and polar gases and gas mixtures,” J. Chem. Phys.,42, No. 9, pp. 3241–3256 (1965).
L. Monchick, “Small periodic disturbances in polyatomic gases,” Phys. Fluids,7, 882 (1964).
V. M. Kuznetsov, “The theory of the coefficient of volumetric viscosity,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 6 (1967).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 53–67, September–October, 1970.
The author thanks V. M. Zhdanov for his valuable advice and remarks, and also Yu, Ya. Polyak and B. M. Chistoserdov for their useful evaluations.
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Alievskii, M.Y. Relaxation, propagation of sound, and transfer processes in molecular gases. Fluid Dyn 5, 758–769 (1970). https://doi.org/10.1007/BF01017293
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DOI: https://doi.org/10.1007/BF01017293