Oishi, C.M. and Martins, F.P. and Tome, Murilo F. and Cuminato, Jose and Mckee, Sean (2011) Numerical solution of the eXtended PomPom model for viscoelastic free surface flows. Journal of NonNewtonian Fluid Mechanics, 166 (34). pp. 165179. ISSN 03770257

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Abstract
In this paper we present a finite difference method for solving twodimensional viscoelastic unsteady free surface flows governed by the single equation version of the eXtended PomPom (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 MarkerandCell 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 twodimensional 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, PomPom 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 
Depositing user:  Pure Administrator 
Date Deposited:  20 Apr 2011 11:31 
Last modified:  21 May 2015 13:12 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/30377 
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