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

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Data

2011-02-01

Autores

Oishi, C. M. [UNESP]
Martins, F. P. [UNESP]
Tome, M. F.
Cuminato, J. A.
McKee, S.

Título da Revista

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Editor

Elsevier B.V.

Resumo

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. (C) 2010 Elsevier B.V. All rights reserved.

Descrição

Palavras-chave

Free surface flows, Implicit techniques, Viscoelastic fluids, Pom-Pom model, Finite difference method, Extrudate swell

Como citar

Journal of Non-newtonian Fluid Mechanics. Amsterdam: Elsevier B.V., v. 166, n. 3-4, p. 165-179, 2011.