Flow of a train of deformable fluid particles in a tube

Abstract

In the article, the boundary integral technique is used to solve the hydrodynamic movement of a train of deformable fluid particles in a tube. When a fluid particle is in a tube, the total normal stress difference is not constant any more, this fore tends to distend and elongate the particle. We find that the difference between the velocity of a deformable fluid particle and a sphere (with the same radius) increases as the distance between the particles decreases, and that the increase in velocity with L′/a′ is greater the capillary number, and this increase becomes less pronounced as radius decreases.