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Gas flow in cylindrical capillaries under intermediate conditions

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Abstract

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.

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Literature cited

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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

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Keywords

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