Q$\mathrm{.}4)$ A branching pipe system with three reservoirs and a pump midway between B and D are

shown in the figure below. All the pipes are identical and $L_{AB}=L_{BC}=L_{BD}=$

$1000m).$ The pump characteristics and the head losses for $1000m$ are given in the tabular form.

All the system and pump characteristic curves are shown in the graph paper below.

a$)$ Considering the Hydraulic Grade Line $($HGL$)$ of the system given on the figure below,

determine the flow direction in each pipe by indicating as "From $x$ to $Y".$

b$)$ Identify and write the names of the curves $($I$)$ to $($V$)$ given on the graph by writing their

equations $($do not derive the final forms of the equations$).$

c$)$ Determine the discharge in each pipe

d$)$ Determine the total and pressure head at the junction.

e$)$ Determine the head added to the system by the pump, and

f$)$ Briefly, discuss whether the pressure head at the junction will increase or decrease, if the

elevation head decreases at the junction.