This is a preview of subscription content, log in via an institution to check access.
Literature cited
M. N. Kogan, “Some problems of molecular gasdynamics,” in: Proceedings of Fourth All-Union Conference on Rarefied Gasdynamics and Molecular Gasdynamics [in Russian], Izd. Tsentr. Aerogidrodin. Inst., Moscow (1977).
O. M. Belotserkovskii and V. E. Yanitskii, “Numerical methods in rarefied gas dynamics,” in: Proceedings of Fourth All-Union Conference on Rarefied Gasdynamics and Molecular Gasdynamics [in Russian], Izd. Tsentr. Aerogidrodin. Inst., Moscow (1977).
S. V. Vallander, E. A. Nagnibeda, and M. A. Rydalevskaya, Some Problems of the Kinetic Theory of A Chemically Reactive Gas Mixture [in Russian], Leningrad State Univ. (1977).
B. V. Alekseev, “Calculation of the distribution function in the initial stage of a chemical reaction,” Zh. Vychisl. Mat. Mat. Fiz.,10, No. 5 (1970).
P. S. Larsen and C. Borgnakke, “Statistical collision model for simulating polyatomic gas with restricted energy exchange,” in: Ninth International Symposium on Rarefied Gasdynamics, DFVLR-Press, Porz-Wahn, W. Germany (1974).
S. A. Denisik, Yu. G. Malama, L. S. Polak, and R. A. Rezvanov, “Use of the Monte Carlo method to solve some problems of physical and chemical kinetics,” Teplofiz. Vys. Temp.,5, No. 6 (1967).
G. I. Zmievskaya and A. A. Pyarnpuu, “On the use of kinetic equations in problems of modeling the upper atmosphere,” in: Mathematical Models of Near Space [in Russian], Nauka, Novosibirsk (1977).
G. I. Zmievskaya and A. A. Pyarnpuu, “Numerical modeling of physicochemical processes in planetary atmospheres,” Preprint No. 36, Inst. Prikl. Mat. Akad. Nauk SSSR (1978).
G. I. Zmievskaya, A. A. Pyarnpuu, and V. I. Shematovich, “Solution of model relaxation problems for rarefied gas mixtures by the statistical method of particles in cells,” Preprint No. 35, Inst. Prikl. Mekh. Akad. Nauk SSSR (1978).
G. I. Zmievskaya, A. A. Pyarnpuu, and V. I. Shematovich, “Numerical investigation of states of a mixture of rarefied gases with allowance for energy exchange between translational and internal degrees of freedom,” Preprint No. 106, Inst. Prikl. Mat. Akad. Nauk SSSR (1978).
O. M. Belotserkovskii and V. E. Yanitskii, “The statistical method of particles in cells for solving problems of rarefied gasdynamics. I, II,” Zh. Vychisl. Mat. Mat. Fiz.,15, Nos. 5 and 6 (1975).
V. E. Yanitskii, “The use of some statistical models for the numerical solution of the Boltzmann equation,” Dissertation for the Degree of Candidate of Physicomathematical Sciences, Vychisl. Tsentr. Akad. Nauk SSSR, Moscow (1974); V. E. Yanitskii, “Use of Poisson stochastic process to calculate the collisional relaxation of a nonequilibrium gas,” Zh. Vychisl. Mat. Mat. Fiz.,13, No. 2 (1973); V. E. Yanitskii, “A statistical model of the flow of an ideal gas and some of its properties,” in: Chislennye Metody Mekh. Sploshnoi Sredy,6, No. 4 (1975).
M. Kac, Probability and Related Topics in Physical Sciences, Wiley, New York-London (1959).
V. A. Rykov and T. P. Chukanova, “Solution of the Boltzmann kinetic equations in the case of the relaxation of a gas mixture,” in: Numerical Methods in the Theory of Rarefied Gases [in Russian], Izd. Vychisl. Tsentr. Akad. Nauk SSSR, Moscow (1969).
N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions, 2nd ed., Clarendon Press, Oxford (1949).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 19–29, January–February, 1980.
The authors thank O. M. Belotserkovskii, M. Ya. Marov, and V. E. Yanitskii for attention to the work and useful discussions.
Rights and permissions
About this article
Cite this article
Zmievskaya, G.I., Pyarnpuu, A.A. & Shematovich, V.I. Statistical modeling of the states of a gas mixture with allowance for energy exchange between translational and internal degrees of freedom. J Appl Mech Tech Phys 21, 15–24 (1980). https://doi.org/10.1007/BF00910133
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00910133