Viscous Flow in Rounded Pipe Exit (When the Inertia Terms were considered)

The author studied theoretically the viscous flow in a rounded pipe exit when the inertia terms in Navier-Stokes equations of motion were considered and Reynolds number in a straight pipe was small comparatively. The results may be summarized as follows. (1) The stream function could be approximated with the power series of Reynolds number. (2) The state between a divergent flow and a convergent flow is different. There is the tendency that a divergent flow concentrates in a center and a convergent flow becomes uniform. (3) It is too difficult to decide the position of separation point accurately with this analysis. However，the estimation to some extent may be possible