Nonisothermal Free-Molecular Flow of Gas in an Elliptic Channel with a Circular Cylindrical Element Inside
- Authors: Germider O.V.1, Popov V.N.1
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Affiliations:
- Lomonosov Northern (Arctic) Federal University
- Issue: Vol 64, No 1 (2019)
- Pages: 19-23
- Section: Gases and Liquids
- URL: https://journals.rcsi.science/1063-7842/article/view/202596
- DOI: https://doi.org/10.1134/S1063784219010122
- ID: 202596
Cite item
Abstract
The linearized problem of free-molecular gas flow in a long elliptic channel with a circular cylindrical element inside has been solved in the kinetic approximation. The flow in the channel is caused by temperature and pressure drops between its ends. The Boltzmann kinetic equation for collisionless gas has been used as a basic equation, and the boundary condition has been set in terms of the diffuse reflection model. The distribution of the mass velocity of the gas over the cross section of the channel has been obtained. The mass flow rate of the gas in the channel versus the temperature and pressure drops between its ends has been calculated. It has been found that the mass flow of the gas substantially depends on the radius of the inner cylinder.
About the authors
O. V. Germider
Lomonosov Northern (Arctic) Federal University
Email: v.popov@narfu.ru
Russian Federation, Arkhangel’sk, 163002
V. N. Popov
Lomonosov Northern (Arctic) Federal University
Author for correspondence.
Email: v.popov@narfu.ru
Russian Federation, Arkhangel’sk, 163002