Development of secondary flows in viscoelastic curved ducts and the influence of outlet region

Gilmar Mompean; Tibisay Coromoto Zambrano; Zaynab Salloum

doi:10.1016/j.crme.2014.04.003

Development of secondary flows in viscoelastic curved ducts and the influence of outlet region

Gilmar Mompean ¹ ; Tibisay Coromoto Zambrano ²; Zaynab Salloum ³

¹ Laboratoire de mécanique de Lille, UMR CNRS 8107, Polytech-Lille, Cité scientifique, 59665 Villeneuve-d'Ascq cedex, France
² Université centrale du Venezuela, Cité universitaire, 1053 Caracas, Venezuela
³ Université libanaise, Laboratoire des mathématiques–EDST, Hadath, Lebanon

Comptes Rendus. Mécanique, Volume 342 (2014) no. 8, pp. 478-484.

Abstract
Résumé

This paper presents numerical simulations of Newtonian and viscoelastic flows through a 180° curved duct of square cross section with a long straight outlet region. A particular attention is paid to the development of the flow in the output rectangular region after the curved part. The viscoelastic fluid is modeled using the constitutive equation proposed by Phan–Thien–Tanner (PTT). The numerical results, obtained with a finite-volume method, are shown for three different Dean numbers $(125, 137, 150)$ and for three Deborah numbers $(0.1, 0.2, 0.3)$ . The necessary outlet length to impose boundary conditions is presented and discussed for these cases. Streamlines and vortex formation are shown to illustrate and analyze the evolution of the secondary flow in this region.

Ce travail présente des résultats numériques concernant l'étude des fluides newtoniens et viscoélastiques passant par une conduite courbée à 180°, de section carrée, avec une longue zone droite de sortie. Une attention particulière est portée à l'analyse de l'écoulement dans la région rectangulaire de sortie après la partie incurvée. Le fluide viscoélastique est modélisé à l'aide de l'équation constitutive proposée par Phan–Thien–Tanner (PTT). Les résultats numériques, obtenus avec la méthode des volumes finis, sont présentés pour trois nombres de Dean $(125, 137, 150)$ et pour trois nombres de Deborah $(0, 1, 0, 2, 0, 3)$ . La longueur du domaine de calcul nécessaire pour bien imposer les conditions aux limites de sortie est présentée et discutée. Les lignes de courant montrant la formation de l'écoulement secondaire sont montrées pour illustrer le comportement de l'écoulement dans cette région.

Received: 2014-03-31
Accepted: 2014-04-29
Published online: 2014-07-02

DOI: 10.1016/j.crme.2014.04.003

Keywords: Dean vortex, Deborah number, Viscoelastic flow simulation, Curved duct
Mots-clés : Vortex de Dean, Nombre de Deborah, Simulation de fluide viscoélastique, Conduite courbée

Author's affiliations:

Gilmar Mompean ¹; Tibisay Coromoto Zambrano ²; Zaynab Salloum ³

¹ Laboratoire de mécanique de Lille, UMR CNRS 8107, Polytech-Lille, Cité scientifique, 59665 Villeneuve-d'Ascq cedex, France
² Université centrale du Venezuela, Cité universitaire, 1053 Caracas, Venezuela
³ Université libanaise, Laboratoire des mathématiques–EDST, Hadath, Lebanon

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     author = {Gilmar Mompean and Tibisay Coromoto Zambrano and Zaynab Salloum},
     title = {Development of secondary flows in viscoelastic curved ducts and the influence of outlet region},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {478--484},
     publisher = {Elsevier},
     volume = {342},
     number = {8},
     year = {2014},
     doi = {10.1016/j.crme.2014.04.003},
     language = {en},
}

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Gilmar Mompean; Tibisay Coromoto Zambrano; Zaynab Salloum. Development of secondary flows in viscoelastic curved ducts and the influence of outlet region. Comptes Rendus. Mécanique, Volume 342 (2014) no. 8, pp. 478-484. doi : 10.1016/j.crme.2014.04.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.04.003/

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