Fig. $2.$ shows a piping system with a pump having the characteristic head curve given by parameter $=0\mathrm{.}046mm)$ consists of $30$ m pipe line of inside diameter $2$ inch, square edge entrance and exit, $3$ standard $90$ elbow, one globe valve.

$($i$)$ Calculate the flow rate $(\frac{m^3}{s})($ii$)$ Calculate the pump input power assuming $50\%$ pump efficiency. $($iii$)$ Define and draw the EGL and HGL

$(Le\frac{q}{D}{)}_{\text{g}\text{l}\text{o}\text{b}\text{e}\text{v}\text{a}\text{l}\text{v}\text{e}}=340$;$(Le\frac{q}{D}{)}_{standard}{90}_0$ ellow $=30.$

FIG. $1$