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

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Abstract

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 -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.

About the authors

I. V Voronich

Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Moscow Institute of Physics and Technology

Email: voronich.iv@mipt.ru
Moscow, Russia; Dolgoprudny, Moscow Region, Russia

V. A Titarev

Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Moscow Institute of Physics and Technology

Email: vladimir.titarev@frccsc.ru
Moscow, Russia; Dolgoprudny, Moscow Region, Russia

A. V Kudriashov

Moscow Institute of Physics and Technology

Email: kudriashov.av@mipt.ru
Dolgoprudny, Moscow Region, Russia

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