• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Homogenization for rigid suspensions with random velocity-dependent interfacial forces

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Articlefile1.pdf
    Size:
    287.8Kb
    Format:
    PDF
    Description:
    Article
    Download
    Type
    Article
    Authors
    Gorb, Yuliya
    Maris, Razvan Florian cc
    Vernescu, Bogdan
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Earth Science and Engineering Program
    Numerical Porous Media SRI Center (NumPor)
    Date
    2014-05-14
    Preprint Posting Date
    2013-04-08
    Embargo End Date
    2016-05-14
    Permanent link to this record
    http://hdl.handle.net/10754/563877
    
    Metadata
    Show full item record
    Abstract
    We study suspensions of solid particles in a viscous incompressible fluid in the presence of random velocity-dependent interfacial forces. The flow at a small Reynolds number is modeled by the Stokes equations, coupled with the motion of rigid particles arranged in a periodic array. The objective is to perform homogenization for the given suspension and obtain an equivalent description of a homogeneous (effective) medium, the macroscopic effect of the interfacial forces and the effective viscosity are determined using the analysis on a periodicity cell. In particular, the solutions uωε to a family of problems corresponding to the size of microstructure ε and describing suspensions of rigid particles with random surface forces imposed on the interface, converge H1-weakly as ε→0 a.s. to a solution of a Stokes homogenized problem, with velocity dependent body forces. A corrector to a homogenized solution that yields a strong H1-convergence is also determined. The main technical construction is built upon the Γ-convergence theory. © 2014 Elsevier Inc.
    Citation
    Gorb, Y., Maris, F., & Vernescu, B. (2014). Homogenization for rigid suspensions with random velocity-dependent interfacial forces. Journal of Mathematical Analysis and Applications, 420(1), 632–668. doi:10.1016/j.jmaa.2014.05.015
    Sponsors
    Y. Gorb and F. Mans were supported by the National Science Foundation grant DMS-1016531; Y. Gorb was also supported by the National Science Foundation grant DMS-1350248. B. Vernescu was supported by the National Science Foundation grant DMS-1109356.
    Publisher
    Elsevier BV
    Journal
    Journal of Mathematical Analysis and Applications
    DOI
    10.1016/j.jmaa.2014.05.015
    arXiv
    1304.2422
    Additional Links
    http://arxiv.org/abs/arXiv:1304.2422v1
    http://arxiv.org/pdf/1304.2422
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jmaa.2014.05.015
    Scopus Count
    Collections
    Articles; Earth Science and Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

    entitlement

     
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.