Lattice Boltzmann simulations of bubble formation in a microfluidic T-junction

Abstract

A lattice Boltzmann equation method based on the Cahn–Hilliard diffuse interface theory is developed to investigate the bubble formation process in a microchannel with T-junction mixing geometry. The bubble formation process has different regimes, namely, squeezing, dripping and jetting regimes, which correspond to the primary forces acting on the system. Transition from regime to regime is generally dictated by the capillary number Ca , volumetric flow ratio Q and viscosity ratio λ . A systematic analysis is performed to evaluate these effects. The computations are performed in the range of 10 −4 < Ca <1, 1< Q <20 and 10 −2 < λ <1, with the equilibrium contact angle varying from 30 °  to 150 ° .