At present, there are sufficient solutions of the problem of free-molecular gas flow through a short cylindrical channel, for example, [1–3]. In intermediate flow conditions, for Knudsen number Kn ∼ 1, solutions have been obtained for the limiting cases: an infinitely long channel  and a channel of zero length (an aperture) . However, no solution is known for short channels for Kn ∼ 1. The present work reports a calculation by the Monte Carlo method of the macroscopic characteristics of the gas flow through a short cylindrical channel (for various length—radius ratios), taking into account intermolecular collisions.
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P. Clausing, “Over de stationnaire Strooming van zeer verdunde Gassen,” Physica,9, No. 3 (1929).
W. C. De Marcus, Report K-1302, Union Carbide Nuclear Company, Oak Ridge, Tennessee (1957).
I. G. Neudachin, B. T. Porodnov, and P. E. Suetin, “Formation of narrow molecular beams by cylindrical channels,” Zh. Tekh. Fiz.,42, No. 5 (1972).
S. L. Gorelov, “Flow of rarified gas in a tube,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1974).
E. M. Shakhov, “Finite-difference solutions of axisymmetric problems of rarefied-gas theory,” Zh. Vychisl. Mat. Mat. Fiz.,14, No. 4 (1974).
V. I. Vlasov, “Calculation by Monte Carlo method of heat flow between parallel plates in a rarefied gas,” Uch. Zap. Tsentr. Aérogidrodinam. Inst.,1, No. 4 (1970).
G. A. Mikhailov, Some Problems in the Theory of the Monte Carlo Method [in Russian], Nauka, Moscow (1974).
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 187–190, January–February, 1977.
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Nusinzon, L.M., Porodnov, B.T. & Suetin, P.E. Gas flow in cylindrical capillaries under intermediate conditions. Fluid Dyn 12, 161–164 (1977). https://doi.org/10.1007/BF01074649
- Monte Carlo Method
- Flow Condition
- Intermediate Condition
- Knudsen Number
- Macroscopic Characteristic