Chapter 9, Problem 23P

The flow rate Q (volume of fluid per second) in a round pipe can be calculated by:

$Q={\displaystyle {\int }_0^{r}2\pi vrdr}$

For turbulent flow the velocity profile can be estimated by: $v=v_{\max }{\left(1-\frac{r}{R}\right)}^{1/n}$ .

Determine Q for R=0.25 in., n=7, $v_{\max }$ =80 in./s.