$2\mathrm{.}2$ Figure below shows a $30m$ long pipeline system connecting two reservoirs whose

water surface levels differ, but remain constant. Darcy's friction factor can be taken as

$0\mathrm{.}02$ for all pipes. All changes in diameter as well as pipe entrance and exit are sudden

and sharp, respectively. The is a sluice valve in pipe $AB$ and $60$ bend $(\frac{r}{d}=2\mathrm{.}5)$ in the

horizontal plane located at $E,$ halfway long $BC.$ Calculate the flow rate from the upper

reservoir to the lower reservoir at the instant when their water levels differ by $15m$ and

slui$$e valve is fully open.$(11)$