The Effect of a Circular Disk on the Motion of a Small Particle in a Viscous Fluid

抄録

The Stokes flow due to the translation of a small particle in arbitrary directions is investigated in the presence of a circular disk. The solutions of the boundaryvalue problem are obtained in closed form to the point force approximation, by the use of the Green and Neumann functions supplemented by the edge function to remove the singularity at the rim of the disk. The force and torque experienced by the particle are determined on the basis of these solutions.