13.2. Determining Fluid Flow
Fluid in a pipe moves faster near the center of the pipe and slower near the pipe's walls. You can find the velocity as a function of r, the radius from the center of the pipe, with this equation:
where v (the velocity of the fluid) is a function of r, η is the fluid's viscosity, and ΔP/Δx is the pressure gradient. See more at hyperphysics.phy-astr.gsu.edu/hbase/pfric2.html#vpro2.
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