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

Autor(es)

Oishi, C. M. ^[1] ; Martins, F. P. ^[1] ; Tome, M. F. ^[2] ; Cuminato, J. A. ^[2] ; McKee, S. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Non-Newtonian Fluid Mechanics; v. 166, n. 3-4, p. 165-179, FEB 2011.
• Citações Web of Science: 30

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. (AU)

• Processo FAPESP: 04/16064-9 - Mecânica dos fluídos não estacionária: aplicações em aeronáutica e em reologia
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 09/15892-9 - Estudo de métodos numéricos estáveis e acurados em escoamentos transientes: aperfeiçoamentos, implementações, aplicações com superfícies livres e modelos viscoelásticos
• Beneficiário: Cassio Machiaveli Oishi
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores