Question

Establishment of steady-state newtonian ow into the parabolic velocity prole (in the fully developed ow).

Answer 1

Basically, the profile of velocity not only shows you the magnitude of velocity but also shows you the characteristics of the flow like direction, change due to shape of the domain or increase-decrease in the velocity magnitude with respect to the geometry and so on. So in general, it helps you to understand how the fluid behave while it is transported through the domain.