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Liquid flow inside a cylindrical capillary with walls covered with a porous layer (Gel)
journal contributionposted on 14.07.2017 by Anatoly Filippov, D. Yu Khanukaeva, Sergey Vasin, V.D. Sobolev, Victor Starov
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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.
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.
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