Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Gas flow in cylindrical capillaries under intermediate conditions

  • 22 Accesses


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 [4] and a channel of zero length (an aperture) [5]. 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.

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    P. Clausing, “Over de stationnaire Strooming van zeer verdunde Gassen,” Physica,9, No. 3 (1929).

  2. 2.

    W. C. De Marcus, Report K-1302, Union Carbide Nuclear Company, Oak Ridge, Tennessee (1957).

  3. 3.

    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).

  4. 4.

    S. L. Gorelov, “Flow of rarified gas in a tube,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1974).

  5. 5.

    E. M. Shakhov, “Finite-difference solutions of axisymmetric problems of rarefied-gas theory,” Zh. Vychisl. Mat. Mat. Fiz.,14, No. 4 (1974).

  6. 6.

    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).

  7. 7.

    G. A. Mikhailov, Some Problems in the Theory of the Monte Carlo Method [in Russian], Nauka, Moscow (1974).

Download references

Author information

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 187–190, January–February, 1977.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

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

Download citation


  • Monte Carlo Method
  • Flow Condition
  • Intermediate Condition
  • Knudsen Number
  • Macroscopic Characteristic