Numerical Analysis of Rarefied Gas Flow through a System of Short Channels

The S-model kinetic equation is used to study the rarefied gas flow from a high-pressure tank to a low-pressure one through a flat membrane with a finite number of pores. The kinetic equation is solved numerically using a second-order accurate implicit conservative method implemented in the in-house...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2023-12, Vol.63 (12), p.2227-2243
Main Authors: Voronich, I. V., Titarev, V. A.
Format: Article
Language:English
Subjects:
Compressibility
Computational Mathematics and Numerical Analysis
Continuum flow
Gas flow
Kinetic equations
Low pressure
Mathematical Physics
Mathematics
Mathematics and Statistics
Membranes
Numerical analysis
Pressure ratio
Rarefied gases
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Summary:The S-model kinetic equation is used to study the rarefied gas flow from a high-pressure tank to a low-pressure one through a flat membrane with a finite number of pores. The kinetic equation is solved numerically using a second-order accurate implicit conservative method implemented in the in-house code Nesvetay. For transitional and continuum flow regimes, numerical solutions of the compressible Navier–Stokes equations are obtained. The gas flow rate through the system of pores and the forces acting on the membrane bars are investigated as functions of the Knudsen number (Kn) at a pressure ratio of 2 : 1 in the tanks. The features of the flow field near the membrane and away from it are described.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542523120205