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Author(s): G. S. Paulo
C. M. Oishi
M. F. Tomé
M. A. Alves
F. T. Pinho
Title: Numerical solution of the FENE-CR model in complex flows
Issue Date: 2014
Abstract: A finite difference technique for solving the FENE-CR (Finite Extendable Non-linear Elastic - Chilcott andRallison) closure constitutive model in complex flows has been developed and tested. The governingequations are solved using a Marker-and-Cell type method on a staggered grid. The momentum equationis integrated employing an implicit method while the FENE-CR constitutive equation is approximated bya second-order Runge-Kutta scheme. To demonstrate that the numerical technique can cope with complex flows governed by the FENE-CR model, three flow problems were analysed: the fully-developedchannel flow, the 2D cross-slot flow and the impacting drop problem. The analytic solution for fullydeveloped channel flow of FENE-CR fluids with a solvent viscosity is also presented for validationpurposes. This flow problem is used to verify the numerical method and to quantify its accuracy by comparing numerical results of fully-developed channel flow with the analytic solution. The second flow isemployed to assess whether the numerical methodology is capable of capturing the purely-elastic instabilities predicted in the literature for 2D cross-slot confined flows. Additionally, the complex free surfaceflow corresponding to the filling of a 2D cross geometry has also been investigated. The last problem concerns the flow dynamics of a FENE-CR fluid drop impacting on a rigid surface, which allows the assessment of the capability of the model to deal with free surfaces. The effects of varying the Reynoldsnumber, the Weissenberg number and the finite extensibility of the polymer molecules ðL2Þ on the resulting flow patterns are analysed.
Subject: Ciências da engenharia e tecnologias
Engineering and technology
Scientific areas: Ciências da engenharia e tecnologias
Engineering and technology
Related Information: info:eu-repo/grantAgreement/FCT - Fundação para a Ciência e Tecnologia/Projectos de I&DT em Todos os Domínios Científicos/PTDC/EME-MFE/114322/2009/EXTENSION - Escoamento extensional de fluidos complexos em microcanais/EXTENSION
Document Type: Artigo em Revista Científica Internacional
Rights: restrictedAccess
Appears in Collections:FEUP - Artigo em Revista Científica Internacional

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