Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2011
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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. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP - Fundacao de Amparo a pesquisa do Estado de Sao Paulo[04/16064-9] FAPESP - Fundacao de Amparo a pesquisa do Estado de Sao Paulo[2009/15892-9] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq - Conselho Nacional de Desenvolvimento Cientifico e Tecnologico[304422/2007-0] CNPq - Conselho Nacional de Desenvolvimento Cientifico e Tecnologico[470764/2007-4] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq - Conselho Nacional de Desenvolvimento Cientifico e Tecnologico[477858/2009-0] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Royal Society of Edinburgh Royal Society of Edinburgh |
Identificador |
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, v.166, n.3/Abr, p.165-179, 2011 0377-0257 http://producao.usp.br/handle/BDPI/28895 10.1016/j.jnnfm.2010.11.001 |
Idioma(s) |
eng |
Publicador |
ELSEVIER SCIENCE BV |
Relação |
Journal of Non-newtonian Fluid Mechanics |
Direitos |
restrictedAccess Copyright ELSEVIER SCIENCE BV |
Palavras-Chave | #Free surface flows #Implicit techniques #Viscoelastic fluids #Pom-Pom model #Finite difference method #Extrudate swell #FINITE-VOLUME METHOD #DIFFERENTIAL CONSTITUTIVE-EQUATIONS #PLANAR CONTRACTION FLOWS #BRANCHED POLYMER MELTS #OLDROYD-B MODEL #PROJECTION METHODS #DIE-SWELL #INCOMPRESSIBLE FLOWS #CONFORMATION TENSOR #ELEMENT ANALYSIS #Mechanics |
Tipo |
article original article publishedVersion |