Not all fluid particles travel at the same velocity within a
pipe. The shape of the velocity curve (the
velocity profile across any given section of the pipe) depends upon whether the
flow is laminar or turbulent. If the flow in
a pipe is laminar, the velocity distribution at a cross section will
be parabolic in shape with the maximum velocity at the center being about twice
the average velocity in the pipe. In
turbulent flow, a fairly flat velocity distribution exists across the section
of pipe, with the result that the entire fluid
flows at a given single value. Figure 5 helps illustrate the
above ideas. The velocity of the fluid in contact with the pipe wall is
essentially zero and increases the further
away from the wall.

Note from Figure 5 that the velocity profile depends upon the
surface condition of the pipe wall. A
smoother wall results in a more uniform velocity profile than a rough pipe wall.
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