Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.
Multi relaxation time lattice Boltzmann method is implemented to study unsteady multiphase flows of two immiscible fluids. D2Q9 lattice arrangement for two dimensional flows is employed to investigate lighter fluid droplets rising in heavier fluid. Density distribution functions for each fluid and distribution functions for the coloring step identifying the location of interface separating each immiscible fluid will be used to simulate the dynamics of the droplets and the velocity field of each phase. Buoyancy and other interactive forces between phases are modeled to predict the evolution of droplets as they are rising. No-slip no penetration boundary conditions and periodic boundary conditions are considered in transient flow simulations of multi-phase immiscible fluid for a range of various arrangements of droplets. The effect of the boundaries on the droplets dynamics will be presented.