Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

Autor(es)

Figueiredo, R. A. ^[1] ; Oishi, C. M. ^[2] ; Cuminato, J. A. ^[1] ; Alves, M. A. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Matemat Aplicada & Estat, Sao Carlos, SP - Brazil

^[2] Univ Estadual Paulista, Dept Matemat & Comp, Presidente Prudente - Brazil

^[3] Univ Porto, CEFT, Dept Engn Quim, Fac Engn, P-4100 Oporto - Portugal

• Tipo de documento: Artigo Científico
• Fonte: Journal of Non-Newtonian Fluid Mechanics; v. 195, p. 88-98, MAY 2013.
• Citações Web of Science: 11

Resumo

In this paper we present a finite difference MAC-type approach for solving three-dimensional viscoelastic incompressible free surface flows governed by the eXtended Pom-Pom (XPP) model, considering a wide range of parameters. The numerical formulation presented in this work is an extension to three-dimensions of our implicit technique {[}journal of Non-Newtonian Fluid Mechanics 166 (2011) 165-179] for solving two-dimensional viscoelastic free surface flows. To enhance the stability of the numerical method, we employ a combination of the projection method with an implicit technique for treating the pressure on the free surfaces. The differential constitutive equation of the fluid is solved using a second-order Runge-Kutta scheme. The numerical technique is validated by performing a mesh refinement study on a pipe flow, and the numerical results presented include the simulation of two complex viscoelastic free surface flows: extrudate-swell problem and jet buckling phenomenon. (C) 2013 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 11/09194-7 - Simulação numérica do efeito de Weissenberg
• Beneficiário: Rafael Alves Figueiredo
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• 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