Problem $1(30$ points$)$

You are designing a water storage system for the town of Tolmin, Slovenia that

comprises three reservoirs as shown in schematic bird's eye view below. The water

elevations of the three reservoirs are as follows: $z(R1)=250m,z(R2)=230m,$ and $z(R3)$

$=220m.$ The elevation of node $J,$ where the $3$ pipes converge is $z(J5)=200m.$

Node $J5$ is supposed to store$/$pass enough water to provide for the water demands of

the town network; this network will be analyzed in Problem $2.$ The flowrate that needs

to be available at node $J5$ is $120\frac{\text{I}}{s}.$ This means that at $J,Q=120\frac{\text{I}}{s}.$

Ignore minor losses and do not update friction factors after each iteration.

The characteristics of the three pipes are in the table below:

a$)$ Perform a maximum of $3$ iterations and calculate the flowrates going through this

system and the head at node J$5.$ You will need this head for Problem $2.$

b$)$ Perform all appropriate calculations manually and draw the HGL and EGL curves for

pipe R$1-$J$5.$