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We propose a numerical approach to study the mechanics of a flowing bubble ina constraint micro channel. Using an open source two phase flow solver (Gerris,gfs.sourceforge.net) we compute solutions of the bubble dynamics (i.e. shapeand terminal velocity) induced by the interaction between the bubble movement,the Laplace pressure variation, and the lubrication film near the channel wall.Quantitative and qualitative results are presented and compared against boththeory and experimental data for small Capillary numbers. We discuss thetechnical issues of explicit integration methods on small Capillary numberscomputations, and the possibility of adding Van der Walls forces to give a moreprecise picture of the Droplet-based microfluidic problem.

Droplet in micro-channels: A numerical approach using an adaptive two phase flow solver