Pseudo-potential lattice Boltzmann model for large density and viscosity ratio fluids

Abstract

The flow of two immiscible fluid components with large density and viscosity ratios is considered. Using the pseudo-potential lattice Boltzmann model with a non-ideal equation of state and a mixture viscosity formulation, we can develop a model that successfully passes a series of benchmark tests, most importantly co-current layered flows, with no discontinuities in the velocity profiles at interfaces. The model is then applied to applications of bubbles rising in denser fluids and shows good quantitative agreement with previous numerical and experimental results. The model is also applied to the flow of two immiscible fluids in a porous medium and shows characteristics that are physically consistent with established experimental observations.