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## Homework Statement

For turbulent flow in a smooth, circular tube with a radius R, the velocity profile varies according to the following expression at a Reynolds number of about 10^5.

Vx= Vxmax * [(R-r)/R)]^(1/7)

where r is the radial distance from the center and Vmax the maximum velocity at the center. Derive equation relating the average velocity ( bulk velocity ) Vav to Vmax for an incompressible fluid.

( Hint: The integration can be simplified by substitution z for R-r )

## Homework Equations

## The Attempt at a Solution

i don't know which equation i should integrate and how?