Virginia Tech
    • Log in
    View Item 
    •   VTechWorks Home
    • College of Science (COS)
    • Department of Mathematics
    • Scholarly Works, Department of Mathematics
    • View Item
    •   VTechWorks Home
    • College of Science (COS)
    • Department of Mathematics
    • Scholarly Works, Department of Mathematics
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations

    Thumbnail
    View/Open
    Main article (1.777Mb)
    Downloads: 339
    Date
    2013-08
    Author
    Afkhami, Shahriar
    Renardy, Yuriko Y.
    Metadata
    Show full item record
    Abstract
    We present a computational framework to address the flow of two immiscible viscous liquids which co-flow into a shallow rectangular container at one side, and flow out into a holding container at the opposite side. Assumptions based on the shallow depth of the domain are used to reduce the governing equations to one of Hele-Shaw type. The distinctive feature of the numerical method is the accurate modeling of the capillary effects. A continuum approach coupled with a volume-of-fluid formulation for computing the interface motion and for modeling the interfacial tension in Hele-Shaw flows is formulated and implemented. The interface is reconstructed with a height-function algorithm. The combination of these algorithms is a novel development for the investigation of Hele-Shaw flows. The order of accuracy and convergence properties of the method are discussed with benchmark simulations. A microfluidic flow of a ribbon of fluid which co-flows with a second liquid is simulated. We show that for small capillary numbers of O(0.01), there is an abrupt change in interface curvature and focusing occurs close to the exit.
    URI
    http://hdl.handle.net/10919/24386
    Collections
    • Scholarly Works, Department of Mathematics [289]

    If you believe that any material in VTechWorks should be removed, please see our policy and procedure for Requesting that Material be Amended or Removed. All takedown requests will be promptly acknowledged and investigated.

    Virginia Tech | University Libraries | Contact Us
     

     

    VTechWorks

    AboutPoliciesHelp

    Browse

    All of VTechWorksCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Log inRegister

    Statistics

    View Usage Statistics

    If you believe that any material in VTechWorks should be removed, please see our policy and procedure for Requesting that Material be Amended or Removed. All takedown requests will be promptly acknowledged and investigated.

    Virginia Tech | University Libraries | Contact Us