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

Mathieu Colin 1, 2 Thierry Colin 3 Julien Dambrine 4
1 CARDAMOM - Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
3 MC2 - Modélisation, contrôle et calcul
CNRS - Centre National de la Recherche Scientifique : UMR5251, UB - Université de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : 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.
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Submitted on : Tuesday, January 12, 2016 - 3:14:10 PM
Last modification on : Wednesday, February 2, 2022 - 3:53:29 PM

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Mathieu Colin, Thierry Colin, Julien Dambrine. Numerical simulation of wormlike micelle flows in micro-fluidic T-shaped junctions. Mathematics and Computers in Simulation, Elsevier, 2016, 127, pp.28-55. ⟨10.1016/j.matcom.2013.12.006⟩. ⟨hal-01254642⟩

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