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NUMERICAL PREDICTIONS OF STEADY AND UNSTEADY FLOWS OF FENE-CR VISCOELASTIC FLUIDS WITH A NEWTONIAN SOLVENT

Paulo, G. S.; Oishi, C. M.; Tome, M. F.;

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In this work, we presente numerical results of the flows of FENE-CR viscoelastic fluids with a Newtonian solvent in a channel and in a cross-slot geometry. The governing equations for transient incompressible flows using the FENE-CR fluid are solved by the finite difference method on a staggered grid. The fluid is modelled by a Marker-and-Cell type method and an accurate representation of the fluid surface will be employed. The full free surface stress conditions are considered. Indeed, an implicit treatment to solve the momentum equation is employed. Predictions for fully developed pipe flow are compared with the analytic solution to validate the numerical technique. Other problem perform in this work is the low Reynolds number viscoelastic flows in a cross-slot geometry. In particular, Rocha et. al.[12] carried out a systematic study in a planar cross-slot geometry using a FENE-CR fluid. In order to demonstrate that the numerical method developed in this work can capture the asymmetry predicted by Rocha et. al., we present results for flows of FENE-CR fluids in the planar cross-slot geometry. About all simulations presented in this work, our results are in quantitative or qualitative agreement with numerical predictions or analytical solutions.

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Palavras-chave: FENE-CR fluid, cross-slot geometry, channel flow, free surface.,

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DOI: 10.5151/meceng-wccm2012-19367

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Como citar:

Paulo, G. S.; Oishi, C. M.; Tome, M. F.; "NUMERICAL PREDICTIONS OF STEADY AND UNSTEADY FLOWS OF FENE-CR VISCOELASTIC FLUIDS WITH A NEWTONIAN SOLVENT", p. 3422-3438 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19367

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