LATTICE BOLTZMANN SIMULATION OF THE MOTION OFSPHERICAL PARTICLES IN STEADY POISEUILLE FLOW

摘要

A technique, based on the stress-integration method, for the evaluation of hydrodynamicforces on solid boundaries is proposed to simulate the solid-fluid flow systems in three di-mensions in lattice Boltzmann simulations. The accuracy of the scheme is demonstratedby simulating the sphere migrating in a pressure-driven Newtonian fluid flow in a cylin-drical tube. The numerical simulation results recover the Segré–Silberberg effect. Usingthis scheme, we investigate the behavior of a pair of spheres in a tube Poiseuille flow.Oscillatory states are observed for two spheres with different radii placed on oppositesides. The simulation results show that the present model is an effective and efficientdirect numerical simulation method for simulating particle motions in fluid flows at finiteReynolds numbers in three dimensions.