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An efficient computation of near-continuum rarefied gas flows

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Abstract

A numerical scheme for solving integral equations of rarefied gas dynamics is modified to provide more accurate results in the near continuum flows. The modified scheme is applied to the Poiseuille flow of a rarefied gas between parallel plates and in a cylindrical tube. Flow rate results obtained for both geometries are good over the complete range of Knudsen numbers. In particular, the results are found in excellent agreement with the analytic asymptotic formulas in the near continuum regime even when fairly low order of quadrature formulas are used.

Zusammenfassung

Eine numerische Methode zur Lösung der Integralgleichung für die Dynamik verdünnter Gase wird modifiziert, um genauere Resultate nahe zur Kontinuumsgrenze zu liefern; sie wird für die Poiseuille-Strömung von verdünnten Gasen zwischen parallelen Platten und im zylindrischen Rohr angewendet. Die Resultate für die Durchlaßmenge sind über den ganzen Bereich der Knudsen-Zahlen gut. Die Ergebnisse sind in besonders guter Übereinstimmung mit den asymptotischen Formeln nahe zum Kontinuum-Regime, selbst wenn Quadraturformeln von eher niedrigem Grade verwendet werden.

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Authors and Affiliations

  1. Nuclear Engineering Program, University of Missouri-Columbia, Columbia, Missouri, USA

    S. S. Lo & S. K. Loyalka

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  1. S. S. Lo
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  2. S. K. Loyalka
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Lo, S.S., Loyalka, S.K. An efficient computation of near-continuum rarefied gas flows. Z. angew. Math. Phys. 33, 419–424 (1982). https://doi.org/10.1007/BF00944451

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  • DOI: https://doi.org/10.1007/BF00944451

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