COLIN, Mathieu; COLIN, Thierry; DAMBRINE, Julien

doi:10.1016/j.matcom.2013.12.006

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COLIN, Mathieu
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut Polytechnique de Bordeaux [Bordeaux INP]

COLIN, Thierry
Modélisation, contrôle et calcul [MC2]

DAMBRINE, Julien
Laboratoire de mathématiques et applications [UMR 6086] [LMA [Poitiers]]

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Mathematics and Computers in Simulation. 2016, vol. 127, p. 28-55

Elsevier

Résumé en anglais

Numerical simulations of non-newtonian fluids such as wormlike micellar solutions in confined geometries are of great interest in the oil industry. Their main property called shear-banding is a brutal transition from a very viscousstate to a very fluid state above a certain threshold value of shear stress. This feature leads to a very complex behavior in 3D flows. A modified version of the Johnson-Segalman’s model, adapted to our situation (flows with a strong extensional component) is presented. A particular attention is paid to inlet and outlet boundary conditions, and a Poiseuillelike submodel is derived in order to get natural velocity and stress profiles that can be used at the boundaries. A numerical method is then developed, and stability issues are presented. Our results show the interest of the modified Johnson-Segalman’s model performed in this article. A set of 3D numerical simulations are then presentedin order to understand the influence of the junction geometry upon the jamming effects observed in the behaviour of this kind of fluids.< Réduire

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Numerical simulation of wormlike micelle flows in micro-fluidic T-shaped junctions

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