Question $2$

The pipe network shown in Figure $2\mathrm{.}1$ has the following data:

All pipes are equal in length $(100$ m $),$ and in size $(200$ mm each$)$;

All nodes from $1$ to $7$ have elevations of $(15\mathrm{.}00m)$;

Assume $f=0\mathrm{.}022$ in all pipes $($neglect local losses$)$;

Answer the following:

a$)$ Idealize and simplify the network, and neatly draw the idealized network in Figure $2\mathrm{.}2$

a$)$ Determine the flow values and direction in all pipes using the loop method. Show all calculation details. Noting that the flow direction in pipe $3-7$ is from junction $3$ to junction $7$

b$)$ Determine the pressure head at node $6.$