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Barodiffusion in Slow Flows of a Gas Mixture

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Abstract

Barodiffusion in slow flows of a gas mixture is studied with an approximation using hydrodynamic equations of motion for the individual mixture components. It is shown that consideration of the viscous momentum transfer and the contribution of Knudsen layers for the mixture flowing in a channel has a considerable effect on the value of the barodiffusion factor. The relations are obtained for the mean diffusion fluxes of components and for the total flux of the mixture in a circular cylindrical capillary; these relations are valid for moderately small Knudsen numbers used for calculation of the diffusion baroeffect and separation effect when the gas mixture flows in a set of capillaries connecting two volumes. The modification of the relations for the barodiffusion factor (and for the diffusion slip coefficient cross-linked with it) allows interpreting the sign alteration of these effects observed experimentally for some gas mixtures at intermediate Knudsen numbers.

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ACKNOWLEDGMENTS

The author thanks Yu. Kagan for fruitful discussions and V.A. Zaznoba for the performed calculations.

Funding

The study is supported by the Russian Foundation for Basic Research (project no. 18-08-00211) and by by National Research Nuclear University MEPhI within the framework of the Russian Academic Excellence Project (contract no. 02.a03.21.0005, August 27, 2013).

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Authors and Affiliations

  1. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Moscow, Russia

    V. M. Zhdanov

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  1. V. M. Zhdanov
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Correspondence to V. M. Zhdanov.

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Translated by E. Oborin

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Zhdanov, V.M. Barodiffusion in Slow Flows of a Gas Mixture. Tech. Phys. 64, 596–605 (2019). https://doi.org/10.1134/S106378421905027X

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