Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels

Charles-Henri Bruneau (1, 2) , Thierry Colin (1, 2) , Cedric Galusinski (3, 2) , Sandra Tancogne (1, 2) , Paul Vigneaux (1, 2, 4, 5)

1 IMB - Institut de Mathématiques de Bordeaux
2 MC2 - Modélisation, contrôle et calcul
3 IMATH - Institut de Mathématiques de Toulon - EA 2134
4 LAMA - Laboratoire de Mathématiques
5 NUMED - Numerical Medicine

In this paper, several numerical simulations of diphasic flows in microchannels are presented. The flow in both cylindrical and rectangular channels is considered. The aim is to compute the shape of the droplets and the velocity fields inside and outside the droplets and to quantify the influence of the geometry. The Level Set method is used to follow the interface between the fluids.

Mots clés: level set; microdroplets; 3D hydrodynamics; microchannels

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Charles-Henri Bruneau, Thierry Colin, Cedric Galusinski, Sandra Tancogne, Paul Vigneaux. Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels. K. Kunisch, G. Of, O. Steinbach. Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, xxx (xxx), Springer Berlin Heidelberg, pp.449-456, 2008. ⟨hal-00291512⟩