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Abstract <p>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 <i>S</i>-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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • I. V. Voronich,
  • V. A. Titarev,
  • A. V. Kudriashov

摘要

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 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.