The parabolic velocity flow profile inside a pipe is usually not important, as flow is almost always turbulent, so the profile is typically quite blunt. Its a more parabolic profile when in laminar flow ranges.
It's usually sufficient to work with the average velocity, unless you are trying to determine heat transfer characteristics, the fluid has a high viscosity, or you are trying to insert chemical injector tubes.
What specific problem do you have?
--Einstein gave the same test to students every year. When asked why he would do something like that, "Because the answers had changed."