Numerical Analysis of Motion of Particles in a Viscous Fluid by Newly-Developed Reflection Method using Oseen's Flow Field

摘要

The present paper deals with the numerical analysis of the equation of motion for spherical particles moving in fluid at low Reynolds numbers. The hydrodynamic forces of the spheres in the equation of motion are estimated using the relative velocities. The relative velocities are derived using the reflection method developed newly here for the Oseen's flow field around each sphere. The experiments are carried out for a cluster of spheres falling freely in quiescent glycerol. The width of the test tank with a square cross-section is 100 times the sphere diameter. The numerical results using the newly-developed reflection method for the Oseen's flow field show good agreement with the experimental results.