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

Rarefied gas flows through a planar periodic system of rectangular channels (membrane) are analyzed in a wide range of Knudsen numbers. The problem is studied based on the numerical solution of the kinetic equation with the Shakhov S -model collision integral and the Navier–Stokes equations of the c...

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Bibliographic Details
Published in:Fluid dynamics Vol. 60; no. 3; p. 73
Main Authors: Voronich, I. V., Titarev, V. A., Kudriashov, A. V.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 20.07.2025
Springer Nature B.V
Subjects:
Boundary conditions
Channels
Classical and Continuum Physics
Classical Mechanics
Compressibility
Engineering Fluid Dynamics
Fluid- and Aerodynamics
Gas flow
Kinetic equations
Mass flow rate
Numerical analysis
Permeability
Physics
Physics and Astronomy
Pressure vessels
Rarefaction
Rarefied gases
Symmetry
Velocity
Viscosity
channel
model
membrane
kinetic equation
rarefied gas
computational aerodynamics
ISSN:0015-4628, 1573-8507
Online Access:Get full text
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Summary:Rarefied gas flows through a planar periodic system of rectangular channels (membrane) are analyzed in a wide range of Knudsen numbers. The problem is studied based on the numerical solution of the kinetic equation with the Shakhov S -model collision integral and the Navier–Stokes equations of the compressible medium. The main attention is paid to the calculation of the mass flow rate as a function of the permeability, the relative channel length, and the rarefaction parameter.
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ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462824605655