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Liquid flow inside a cylindrical capillary with walls covered with a porous layer (Gel)

journal contribution
posted on 14.07.2017 by Anatoly Filippov, D. Yu Khanukaeva, Sergey Vasin, V.D. Sobolev, Victor Starov
Viscous incompressible liquid flow in a long cylindrical capillary, the internal surface of which is covered with a permeable porous layer, is studied within the frameworks of three mathematical models. In the first model, the liquid flow in the porous layer is described by the Brinkman equation; according to the second one, the presence of the porous layer is taken into account using the Navier slip boundary conditions; and, in the third model, the Navier condition is imposed on the porous layer–liquid interface, with the flow inside the porous layer being excluded. The theoretical predictions are compared with the experimental data that one of us has obtained for liquid flow rates in porous capillaries. The validity and appropriateness of the application of the proposed models are discussed.

Funding

This work was supported by the Russian Foundation for Basic Research, project nos. 11-08-01403 and 11-08-00807. V.M. Starov acknowledges the support of the projects MULTIFLOW, EU, and PARTA and the European Space Agency.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Chemical Engineering

Published in

Colloid Journal

Volume

75

Issue

2

Pages

214 - 225

Citation

FILIPPOV, A. ...et al., 2013. Liquid flow inside a cylindrical capillary with walls covered with a porous layer (Gel). Colloid Journal, 75(2), pp. 214-225.

Publisher

© Pleiades Publishing

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2013

Notes

This paper is in closed access.

ISSN

1061-933X

Language

en

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