$1\mathrm{.}4)[3$ marks$]$ A flood$-$control pumping system has been designed to remove water $(T=10C)$ from a

collection reservoir $($Flood basin$)$ and discharge it into a nearby river system $($shown in Figure Q$1\mathrm{.}4).$

The total length of piping is $1200m,$ and the location for the pumping station is $300m$ along the

length from the inlet at the flood basin. The surface level of the flood basin is $5m$ below the level of

the river. The pump provides a maximum of $1MW$ of hydraulic power and the design requirement

is to deliver a maximum water flow of $10\frac{m^3}{s}.$ Determine:

a$)$ The minimum diameter of concrete piping $(=1cm)$ required to meet the design flow required.

b$)$ The maximum elevation above the flood basin that the pump can be located, if local

atmospheric pressure is $101\mathrm{.}325$kPa, using the pump information from Figure Q$1\mathrm{.}4$b$.$

c$)$ Would replacing the inlet filter in Fig. Q$1\mathrm{.}4$a with one with a Cv of $150000ga\frac{l}{m}in.{}^{0\mathrm{.}5}$ result in

an increase or decrease of the total flowrate?

Fiaure $01\mathrm{.}4$a: Svstem schematic for flood control svstem