Abstract
Starting from the Liouville equation, the kinetic equations for a finely dispersed rarefied gas-particle medium are derived. The size of the suspension particles is assumed to be much less than the free path of the gas molecules, while their density is so small that interaction between the particles can be neglected. It is shown that in general the dynamics of this gas suspension can be described by a system of two kinetic equations, which differ radically from the Boltzmann equations.
Similar content being viewed by others
References
Yu. P. Lun'kin and V. F. Mymrin, “Kinetic model of a gas suspension,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 134 (1981).
V. P. Myasnikov, “Dynamic equations of motion for two-component systems,”Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 58 (1967).
V. P. Myasnikov, “A statistical model of the mechanical behavior of disperse media,” in:Mechanics of Multicomponent Media in Technological Processes [in Russian], Nauka, Moscow (1977), p. 70.
Ya. D. Yankov, “Kinetic theory of disperse systems,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 128 (1980).
Yu. L. Klimontovich,Kinetic Theory of Nonideal Gas and Nonideal Plasma [in Russian], Nauka, Moscow (1975).
N. N. Bogolyubov, “Problems of dynamical theory in statistical physics,” in:Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).
V. Ya. Rudyak, “Basic kinetic equation of a rarefied gas,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 154 (1989).
Additional information
Novosibirsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.2, pp. 165–171, March–April, 1994.
Rights and permissions
About this article
Cite this article
Gladkov, M.Y., Rudyak, V.Y. Kinetic equations for a finely dispersed rarefied gas suspension. Fluid Dyn 29, 285–290 (1994). https://doi.org/10.1007/BF02324322
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02324322