$($b$)$ Estimate the flow rate in the $50km$ long, $300mm$ diameter pipe, shown in Figure Q$2$a

which runs full containing the following:

$5$ No$.90$ bends $(k=0\mathrm{.}5)$

$10$ No$.45$ bends $(\{$:$k=0\mathrm{.}25)$

$5$ No$.$ gate values $(k=0\mathrm{.}3)$

$1$ bell mouth entry $(k=0\mathrm{.}1)$

$1$ bell mouth exit $(k=0\mathrm{.}45$

$6$ No$.30$ bend $(k=0\mathrm{.}21)$

Assume a kinematic viscosity of $1\mathrm{.}13{10}^{-6}\frac{m^2}{s}$ and roughness of $0\mathrm{.}05mm.$ Make only

one adjustment in your estimate of $u.$