The simulation of droplet motion by using lattice boltzmann method

Abstract

SCMP (Single Component Multiphase) - LBM (Lattice Boltzmann Model) scheme was developed in order to simulate the phenomenon of droplet motion under different conditions. This study more concern on phenomenon of droplet falling from a flat ceiling and the movement of droplet on inclined surface. Various type of parameter such as contact angle, gravitational force and angle of inclined surface are used to interpret the results obtained in order to explain the phenomenon of droplet dynamics. The basic idea of SCMP LBM is incorporating the free energy method in lattice Boltzmann governing equation. The Van Der Waals real gas equation of state is derived to determine different of phases in the system. The new equilibrium distribution ?????? is calculated into the SCMP LBM equation. The capillary and gravitational effects are incorporated into SCMP LBM equation via pressure tensor and the new velocity in calculation of equilibrium distribution function, ??????.Both capillary and gravity-driven flow contributes in different regimes of droplet shapes. Good agreement was obtained between the present approach and those previous studies using Navier-Stokes solver and original LBM.