Front-tracking by the level-set and the volume penalization methods in a two-phase microfluidic network

Johana Pinilla 1 Charles-Henri Bruneau 1, 2 Sandra Tancogne 3
1 IMB - Institut de Mathématiques de Bordeaux
2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
3 LMR - Laboratoire de Mathématiques de Reims
Abstract : Two-phase immiscible fluids in a two-dimensional micro-channels network are considered. The incompressible Stokes equations are used to describe the Newtonian fluid flow while the Oldroyd-B rheological model is used to capture the viscoelastic behavior. In order to perform numerical simulations in a complex geometry like a micro-channels network, the volume penalization method is implemented. To follow the interface between the two fluids, the level-set method is used and the dynamics of the contact line is modeled by Cox law. Numerical results show the ability of the method to simulate two-phase flows and to follow properly the contact line between the two immiscible fluids. Finally, simulations with realistic parameters are performed to show the difference when a Newtonian fluid is pushed by a viscoelastic fluid instead of a Newtonian one.
Keywords : level-set method contact line Cox model microfluidics two-phase flow volume penalization method
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Submitted on : Wednesday, January 6, 2016 - 11:36:56 AM
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Johana Pinilla, Charles-Henri Bruneau, Sandra Tancogne. Front-tracking by the level-set and the volume penalization methods in a two-phase microfluidic network. International Journal for Numerical Methods in Fluids, Wiley, 2016, 80 (1), pp.23-52. ⟨10.1002/fld.4069⟩. ⟨hal-01251457⟩

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