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Numerical Simulation of viscoelastic flows with Oldroyd-B constitutive equations and novel algebraic stress models

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2006
auteur(s) Thais Laurent; Helin Lionel; Mompean Gilmar
journal (abréviation) Journal of Non-Newtonian Fluid Mechanics (Journal of Non-Newtonian Fluid Mechanics)
volume (numéro) 140 (1-3)
pages 145 – 158
résumé The purpose of the present study is to compare numerical simulations of viscoelastic flows using the differential Oldroyd-B constitutive equations and two newly devised simplified algebraic explicit stress models (AES-Models). The flows of a viscoelastic fluid in a 180textsuperscript{o} bent planar channel and in a 4:1 planar contraction are considered to illustrate and support the underlying theory. The flow in the bent channel is used to illustrate the frame-invariant property of the new models in a pure shear flow exhibiting strong streamline curvature. The flow in the 4:1 contraction serves as a benchmark test in a situation where strong elongation occurs. For both geometries, it is found that the predictions of the new AES-models are in good agreement with mbox{Oldroyd-B} up to Deborah numbers of order 0.5, with a significant reduction in computational effort.
mots clés algebraic viscelastic models, 4:1 contraction, Oldroyd-B, finite volume
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