Fluid Dynamics

, Volume 3, Issue 4, pp 119–122 | Cite as

Resistance of fibrous filters in free molecule flow

  • Yu. M. Glushkov


The expression for the resistance of an isotropie porous medium to free molecule flow has been obtained by Deryagin [1] and by Bakanov [2].

In the present paper we consider gas flow through an anisotropic porous medium formed by partially ordered fibers. In such a medium the mean free path and the mean scattering cosine depend on the direction of the molecule velocity.

As the fibrous filter model we take an infinite system of randomly interwoven fibers, whose axes are perpendicular to the gas mass velocity. We consider fibers having circular, arbitrary convex, and dumbbell figures in cross section.

The computational results are compared with experimental data obtained for filters of the FP type and filters made from glass fiber.


Experimental Data Porous Medium Computational Result Glass Fiber Free Path 
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  1. 1.
    B. V. Deryagin, “Measurement of the specific surface of porous and dispersed bodies by resistance to flow of rarefied gases”, DAN SSSR, vol. 53, no. 7, 627, 1946.Google Scholar
  2. 2.
    S. P. Bakanov, “On the question of gaseous molecular flow through a porous barrier”, Zh. Tekhn. fiz., vol. 27, no. 7, 1620, 1957.Google Scholar
  3. 3.
    S. G. Mikhlin, Integral Equations and Their Applications in Some Problems of Mechanics, Mathematical Physics and Engineering [in Russian], 2nd edition, Gostekhizdat, 1947.Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • Yu. M. Glushkov
    • 1
  1. 1.Obninsk

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