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Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows

Oishi, C.M. and Martins, F.P. and Tome, Murilo F. and Cuminato, Jose and Mckee, Sean (2011) Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows. Journal of Non-Newtonian Fluid Mechanics, 166 (3-4). pp. 165-179. ISSN 0377-0257

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    Abstract

    In this paper we present a finite difference method for solving two-dimensional viscoelastic unsteady free surface flows governed by the single equation version of the eXtended Pom-Pom (XPP) model. The momentum equations are solved by a projection method which uncouples the velocity and pressure fields. We are interested in low Reynolds number flows and, to enhance the stability of the numerical method, an implicit technique for computing the pressure condition on the free surface is employed. This strategy is invoked to solve the governing equations within a Marker-and-Cell type approach while simultaneously calculating the correct normal stress condition on the free surface. The numerical code is validated by performing mesh refinement on a two-dimensional channel flow. Numerical results include an investigation of the influence of the parameters of the XPP equation on the extrudate swelling ratio and the simulation of the Barus effect for XPP fluids.

    Item type: Article
    ID code: 30377
    Keywords: free surface flows, implicit techniques, viscoelastic fluids, Pom-Pom model, finite difference method, extrudate swell, Mathematics, Materials Science(all), Chemical Engineering(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 20 Apr 2011 12:31
    Last modified: 05 Sep 2014 13:59
    URI: http://strathprints.strath.ac.uk/id/eprint/30377

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