Question $1$

$($a$)$ A $130$ m long pipeline $(f=0\mathrm{.}01)$ is being designed to discharge $1\mathrm{.}8\frac{m^3}{s}$ of water from a storm water tank into the sea as shown in Figure Q$1($a$).$

$($i$)$ Sketch the general profiles of the Total Head Line $($THL$)$ and the Hydraulic Grade Line $($HGL$)$ between points A and B$,$ showing clearly each of the losses. $[5$ marks$]$

$($ii$)$ Determine the water elevation necessary in the tank to achieve this discharge for pipe diameter of $0\mathrm{.}9m,$ assuming $k_{\text{e}\text{n}\text{t}\text{r}\text{a}\text{n}\text{c}\text{e}}=1\mathrm{.}0$ and $k_{\text{e}\text{x}\text{i}\text{t}}=0\mathrm{.}5.$

marks$]$