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Liquid flow inside a cylindrical capillary with walls covered with a porous layer (Gel)
journal contribution
posted on 2017-07-14, 14:56 authored by Anatoly Filippov, D. Yu Khanukaeva, Sergey Vasin, V.D. Sobolev, Victor StarovViscous 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 JournalVolume
75Issue
2Pages
214 - 225Citation
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 PublishingVersion
- 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
2013Notes
This paper is in closed access.ISSN
1061-933XPublisher version
Language
- en