IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v338y2018icp363-375.html
   My bibliography  Save this article

On a hydrodynamic permeability of a system of coaxial partly porous cylinders with superhydrophobic surfaces

Author

Listed:
  • Filippov, Anatoly
  • Koroleva, Yulia

Abstract

The paper considers a Stokes–Brinkman’s system with varying viscosity that describes the continuous flow of viscous incompressible liquid along an ensemble of partially porous cylindrical particles using the cell approach. The analytical solution for the considered system was derived and analyzed for a particular case of Brinkman’s viscosity which illustrates the presence of superhydrophobic surfaces in a porous system. Some numerical validation of the derived results are done and the hydrodynamic permeability of the porous system was calculated and analyzed depending on geometrical and physicochemical parameters. Our analysis of the problem shows that the bigger the impermeable core the less the coefficient of hydrodynamic permeability what agrees with the physical process of the filtration. In addition, the bigger the specific permeability of porous layer the greater the hydrodynamic permeability of the porous medium.

Suggested Citation

  • Filippov, Anatoly & Koroleva, Yulia, 2018. "On a hydrodynamic permeability of a system of coaxial partly porous cylinders with superhydrophobic surfaces," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 363-375.
    • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:363-375
    DOI: 10.1016/j.amc.2018.06.034
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630031830523X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.06.034?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:363-375. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.