Numerical Simulation of Two Spheres with Different Density Settling In Fluids through Lattice Boltzmann Method

Abstract

Sedimentation of two spheres with different densities in a square-crossing channel is studied using the lattice Boltzmann method. The present work focuses on the periodic state of the settling behaviour of the spheres, which strongly depend on the Galileo number Ga as well as the density difference ï¡. Our results demonstrate that the motion of the spheres becomes periodic when ï¡ is large enough even at small Galileo number. In addition, the light sphere oscillates faster than the heavy one for all cases studied in this work. It has also been shown that as Ga increases the magnitude of oscillation of spheres increases.