Velocity profile for laminar Newtonian flow in a pipe

6 Velocity profile for laminar Newtonian flow in a pipe 

The velocity profile and volumetric flow rate for steady, fully developed, laminar flow of an incompressible Newtonian fluid in a pipe were derived in Chapter 1. Here, the results are summarized for reference. 

The velocity profile is related to the frictional pressure drop by equation 1.54 

On substituting for vx in equation 1.62 using equation 1.54, and evaluating the integral, the volumetric flov rate is given by 

Note that the volumetric average velocity u is exactly half the maximum velocity. 

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