Abstract
A physicomathematical model of transport processes of molecules in a molecular-viscous regime is described which is consistent with the knowledge of the random motion of molecules in a molecular regime and of a laminar flow in a viscous regime. The Monte Carlo method is applied for the statistical three-dimensional simulation of a steady-state rarefied gas flow via vacuum system elements of arbitrary geometry in a molecular-viscous regime. The results of computational experiments on the determination of the conduction of long and short cylindrical pipelines are reported.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. Cherchin'yani, Theory and Applications of the Boltzman Equation [in Russian], Moscow (1976).
Yu. A. Koshmarov and Yu. A. Ryzhov, Applied Dynamics of a Rarefied Gas [in Russian], Moscow (1977).
L. G. Loitsanskii, Mechanics of Liquid and Gas [in Russian], Moscow (1987).
A. V. Shelest, The Bogolyubov Method in the Dynamic Theory of Kinetic Equations [in Russian], Moscow (1990).
G. A. Bird, Molecular Gas Dynamics, Oxford University Press (1976).
G. I. Marchuk and G. A. Mikhailov (eds.), The Monte Carlo Methods in Statistical Physics [in Russian], Moscow (1982).
A. V. Bulyga, Vacuum Physics and Technology [in Russian], Kazan' (1974), pp. 14–19.
K. V. Demikhov and L. V. Boiko, State-of-the Art and Perspectives of Development of Vacuum Technology, Abstracts of the Reports of the All-Union Research Conference, Kazan' (1991), pp. 47–51.
G. L. Saksaganskii, Molecular Flows in Complex Vacuum Structures [in Russian], Moscow (1980).
L. N. Rozanov, Vacuum Technology [in Russian], Moscow (1990).
Yu. M. Pechatnikov, State-of-the Art and Perspectives of Development of Vacuum Technology, Abstracts of Reports of the All-Union Research Conference, Kazan' (1991), pp. 59–64.
Yu. M. Pechatnikov, Élektron. Tekh. Ser. 4, Élektrovakuumnye Gazorazpyadnye Prib., No. 4, 67–69 (1991).
L. N. Rozanov, Yu. M. Pechatnikov, and M. M. Donskaya, Automatization of Design in Mechanical Engineering [in Russian], Leningrad (1987), pp. 48–53.
L. W. Rozanov, M. M. Donskaya, Yu. M. Pechatnikov, and V. G. Petrov, Khim. Neft. Mashinostr., No. 11, 14–19 (1990).
Additional information
St. Petersburg State Technical University. Translated from Inzhenerno-fizicheskii Zhurnal, Vol. 63, No. 6, pp. 673–677, December, 1992.
Rights and permissions
About this article
Cite this article
Pechatnikov, Y.M. Statistical simulation of a steady-state rarefied gas flow via a pipeline vacuum system in a molecular-viscous regime. J Eng Phys Thermophys 63, 1183–1186 (1992). https://doi.org/10.1007/BF00853517
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00853517