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Upper limit of the linear law of gas flow through a porous medium

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Abstract

The dependence of the critical Reynolds number Re1 characterizing the upper limit of applicability of the linear flow law, on the other characteristics of the porous medium is considered. It is shown that Re1 decreases with increase in the dimensionless inertial resistance coefficient on the developed inertial flow interval β′*. Most of the known experimental data can be quite closely approximated by the expression Re1=7β′* −1.16. The effect of the error in determining Re1 by means of the relation proposed on the error in finding the resistance coefficient of the porous medium is analyzed. It is concluded that the relation obtained can be used for determining Re1 in engineering calculations.

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  1. Moscow

    A. P. Kurshin

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  1. A. P. Kurshin
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 186–190, January–February, 1991.

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Kurshin, A.P. Upper limit of the linear law of gas flow through a porous medium. Fluid Dyn 26, 156–160 (1991). https://doi.org/10.1007/BF01050132

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  • DOI: https://doi.org/10.1007/BF01050132

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