In the article, the boundary integral technique is used to salve the hydrod
ynamic 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 co
nstant any more; this force tends to distend and elongate the particle. We
find that the difference between the velocity of a deformable fluid particl
e 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 great
er the capillary number, and this increase becomes less pronounced as radiu
s' decreases.