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Numerical study of Dean vortices in developing Newtonian and viscoelastic flows through a curved duct of square cross-section

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2009
auteur(s) Boutabaa Mohammed; Helin Lionel; Mompean Gilmar; Thais Laurent
journal (abréviation) Comptes Rendus Mécanique (Compt Rendus Mec)
volume (numéro) 337 (1)
pages 40 – 47
résumé This study is devoted to the three-dimensional numerical simulation of developing secondary flows of Newtonian and viscoelastic fluids through a curved duct of square cross-section. The Phan-Thien–Tanner (PTT) model is used to represent viscoelastic effects. The numerical method uses a finite volume discretization with a staggered grid, and the equations are written in general orthogonal coordinates. The numerical simulations produced for 3 different Dean numbers (125, 137 and 150) show clearly the presence of two steady Dean cells and the upstream development of a four-cell pattern when the centrifugal forces become significant. The comparison between Newtonian and PTT flows shows that the transition from twin-cells to four-cells is anticipated for the viscoelastic fluid.
mots clés Fluid mechanics; Viscoelastic fluid; Dean vortices; Curved duct; Finite volume method
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