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

Research paper by Jose-Maria Fullana, Yue Ling, Stéphane Popinet, Christophe Josserand

Indexed on: 15 Jul '15Published on: 15 Jul '15Published in: Physics - Fluid Dynamics


We propose a numerical approach to study the mechanics of a flowing bubble in a constraint micro channel. Using an open source two phase flow solver (Gerris, gfs.sourceforge.net) we compute solutions of the bubble dynamics (i.e. shape and 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 both theory and experimental data for small Capillary numbers. We discuss the technical issues of explicit integration methods on small Capillary numbers computations, and the possibility of adding Van der Walls forces to give a more precise picture of the Droplet-based microfluidic problem.