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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Oishi, C. M. [1] ; Martins, F. P. [1] ; Tome, M. F. [2] ; Cuminato, J. A. [2] ; McKee, S. [3]
Total Authors: 5
[1] Univ Estadual Paulista, Dept Matemat Estat & Computacao, Presidente Prudente - Brazil
[2] Univ Sao Paulo, Dept Appl Math & Stat, Sao Carlos, SP - Brazil
[3] Univ Strathclyde, Dept Math & Stat, Glasgow, Lanark - Scotland
Total Affiliations: 3
Document type: Journal article
Source: Journal of Non-Newtonian Fluid Mechanics; v. 166, n. 3-4, p. 165-179, FEB 2011.
Web of Science Citations: 30

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. (AU)

FAPESP's process: 09/15892-9 - Study of stable and accurate numerical methods for transient flows: improvements, implementations, free surface flow problems and viscoelastic models
Grantee:Cassio Machiaveli Oishi
Support type: Research Grants - Young Investigators Grants
FAPESP's process: 04/16064-9 - Mechanics of non-stationary fluids: applications in aeronautics and rheology
Grantee:José Alberto Cuminato
Support type: Research Projects - Thematic Grants